Classical Mechanics Lessons and Examples

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Displaying all 214 video lectures.
Lecture 1
0.1 Vectors vs. Scalars
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0.1 Vectors vs. Scalars
MIT 8.01 Classical Mechanics, Fall 2016
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Instructor: Dr. Michelle Tomasik



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Lecture 2
0.2 Vector Operators
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0.2 Vector Operators
MIT 8.01 Classical Mechanics, Fall 2016
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Instructor: Dr. Michelle Tomasik



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Lecture 3
0.3 Coordinate Systems and Unit Vectors
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0.3 Coordinate Systems and Unit Vectors
MIT 8.01 Classical Mechanics, Fall 2016
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Instructor: Dr. Michelle Tomasik



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Lecture 4
0.4 Vectors - Magnitude and Direction
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0.4 Vectors - Magnitude and Direction
MIT 8.01 Classical Mechanics, Fall 2016
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Instructor: Dr. Michelle Tomasik



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Lecture 5
0.5 Vector Decomposition into components
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0.5 Vector Decomposition into components
MIT 8.01 Classical Mechanics, Fall 2016
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Instructor: Dr. Michelle Tomasik



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Lecture 6
0.6 Going Between Representations
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0.6 Going Between Representations
MIT 8.01 Classical Mechanics, Fall 2016
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Instructor: Dr. Michelle Tomasik



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Lecture 7
1.0 Week 1 Introduction
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1.0 Week 1 Introduction
MIT 8.01 Classical Mechanics, Fall 2016
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Instructor: Prof. Deepto Chakrabarty



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I. Lesson 1: 1D Kinematics - Position and Velocity
Lecture 8
1.1 Coordinate Systems and Unit Vectors in 1D
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1.1 Coordinate Systems and Unit Vectors in 1D
MIT 8.01 Classical Mechanics, Fall 2016
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Instructor: Dr. Peter Dourmashkin



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Lecture 9
1.2 Position Vector in 1D
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1.2 Position Vector in 1D
MIT 8.01 Classical Mechanics, Fall 2016
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Instructor: Dr. Peter Dourmashkin



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Lecture 10
1.3 Displacement Vector in 1D
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1.3 Displacement Vector in 1D
MIT 8.01 Classical Mechanics, Fall 2016
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Instructor: Dr. Peter Dourmashkin



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Lecture 11
1.4 Average Velocity in 1D
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1.4 Average Velocity in 1D
MIT 8.01 Classical Mechanics, Fall 2016
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Instructor: Dr. Peter Dourmashkin



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Lecture 12
1.5 Instantaneous Velocity in 1D
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1.5 Instantaneous Velocity in 1D
MIT 8.01 Classical Mechanics, Fall 2016
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Instructor: Dr. Peter Dourmashkin



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Lecture 13
1.7 Worked Example: Derivatives in Kinematics
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1.7 Worked Example: Derivatives in Kinematics
MIT 8.01 Classical Mechanics, Fall 2016
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Instructor: Dr. Peter Dourmashkin



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II. Lesson 2: 1D Kinematics - Acceleration
Lecture 14
2.1 Introduction to Acceleration
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2.1 Introduction to Acceleration
MIT 8.01 Classical Mechanics, Fall 2016
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Instructor: Dr. Peter Dourmashkin



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Lecture 15
2.2 Acceleration in 1D
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2.2 Acceleration in 1D
MIT 8.01 Classical Mechanics, Fall 2016
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Instructor: Dr. Peter Dourmashkin



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Lecture 16
2.3 Worked Example: Acceleration from Position
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2.3 Worked Example: Acceleration from Position
MIT 8.01 Classical Mechanics, Fall 2016
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Instructor: Dr. Peter Dourmashkin



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Lecture 17
2.4 Integration
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2.4 Integration
MIT 8.01 Classical Mechanics, Fall 2016
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Instructor: Prof. Deepto Chakrabarty



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III. Lesson 3: 2D Kinematics - Position, Velocity, and Acceleration
Lecture 18
3.1 Coordinate System and Position Vector in 2D
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3.1 Coordinate System and Position Vector in 2D
MIT 8.01 Classical Mechanics, Fall 2016
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Instructor: Dr. Peter Dourmashkin



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Lecture 19
3.2 Instantaneous Velocity in 2D
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3.2 Instantaneous Velocity in 2D
MIT 8.01 Classical Mechanics, Fall 2016
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Instructor: Dr. Peter Dourmashkin



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Lecture 20
3.3 Instantaneous Acceleration in 2D
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3.3 Instantaneous Acceleration in 2D
MIT 8.01 Classical Mechanics, Fall 2016
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Instructor: Dr. Peter Dourmashkin



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Lecture 21
3.4 Projectile Motion
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3.4 Projectile Motion
MIT 8.01 Classical Mechanics, Fall 2016
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Instructor: Dr. Peter Dourmashkin



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Lecture 22
3.5 Demo: Shooting an Apple
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3.5 Demo: Shooting an Apple
MIT 8.01 Classical Mechanics, Fall 2016
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Instructor: Caleb Bonyun



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Lecture 23
3.5 Demo: Relative Motion Gun
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3.5 Demo: Relative Motion Gun
MIT 8.01 Classical Mechanics, Fall 2016
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Instructor: Caleb Bonyun



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IV. Week 1 Worked Examples
Lecture 24
PS.1.1 Three Questions Before Starting
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PS.1.1 Three Questions Before Starting
MIT 8.01 Classical Mechanics, Fall 2016
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Lecture 25
PS.1.2 Shooting the apple solution
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PS.1.2 Shooting the apple solution
MIT 8.01 Classical Mechanics, Fall 2016
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Instructor: Prof. Deepto Chakrabarty



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Lecture 26
P.1.3 Worked Example: Braking Car
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P.1.3 Worked Example: Braking Car
MIT 8.01 Classical Mechanics, Fall 2016
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Instructor: Prof. Anna Frebel



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Lecture 27
P.1.4 Sketch the Motion
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P.1.4 Sketch the Motion
MIT 8.01 Classical Mechanics, Fall 2016
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Lecture 28
P.1.5 Worked Example: Pedestrian and Bike at Intersection
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P.1.5 Worked Example: Pedestrian and Bike at Intersection
MIT 8.01 Classical Mechanics, Fall 2016
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Lecture 29
4.0 Week 2 Introduction
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4.0 Week 2 Introduction
MIT 8.01 Classical Mechanics, Fall 2016
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Instructor: Prof. Deepto Chakrabarty



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V. Lesson 4: Newton's Laws of Motion
Lecture 30
4.1 Newton's First and Second Laws
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4.1 Newton's First and Second Laws
MIT 8.01 Classical Mechanics, Fall 2016
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Lecture 31
4.2 Newton's Third Law
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4.2 Newton's Third Law
MIT 8.01 Classical Mechanics, Fall 2016
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Lecture 32
4.3 Reference Frames
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4.3 Reference Frames
MIT 8.01 Classical Mechanics, Fall 2016
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Instructor: Prof. Deepto Chakrabarty



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Lecture 33
4.4 Non-inertial Reference Frames
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4.4 Non-inertial Reference Frames
MIT 8.01 Classical Mechanics, Fall 2016
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Instructor: Prof. Deepto Chakrabarty



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VI. Lesson 5: Gravity
Lecture 34
5.1 Universal Law of Gravitation
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5.1 Universal Law of Gravitation
MIT 8.01 Classical Mechanics, Fall 2016
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Instructor: Prof. Anna Frebel



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Lecture 35
5.2 Worked Example: Gravity - Superpositon
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5.2 Worked Example: Gravity - Superpositon
MIT 8.01 Classical Mechanics, Fall 2016
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Lecture 36
5.3 Gravity at the surface of the Earth: The value of g.
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5.3 Gravity at the surface of the Earth: The value of g.
MIT 8.01 Classical Mechanics, Fall 2016
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VII. Lesson 6: Contact Forces
Lecture 37
6.1 Contact Forces
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6.1 Contact Forces
MIT 8.01 Classical Mechanics, Fall 2016
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Lecture 38
6.2 Static Friction
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6.2 Static Friction
MIT 8.01 Classical Mechanics, Fall 2016
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VIII. Lesson 7: Tension and Springs
Lecture 39
7.1 Pushing Pulling and Tension
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7.1 Pushing Pulling and Tension
MIT 8.01 Classical Mechanics, Fall 2016
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Lecture 40
7.2 Ideal Rope
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7.2 Ideal Rope
MIT 8.01 Classical Mechanics, Fall 2016
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Lecture 41
7.3 Solving Pulley Systems
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7.3 Solving Pulley Systems
MIT 8.01 Classical Mechanics, Fall 2016
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Lecture 42
7.4 Hooke's Law
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7.4 Hooke's Law
MIT 8.01 Classical Mechanics, Fall 2016
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IX. Deep Dive: Friction
Lecture 43
DD.1.1 Friction at the Nanoscale
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DD.1.1 Friction at the Nanoscale
MIT 8.01 Classical Mechanics, Fall 2016
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X. Week 2 Worked Examples
Lecture 44
PS.2.1 Worked Example - Sliding Block
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PS.2.1 Worked Example - Sliding Block
MIT 8.01 Classical Mechanics, Fall 2016
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Lecture 45
PS.2.2 Worked Example - Stacked Blocks - Free Body Diagrams and Applying Newtons 2nd Law
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PS.2.2 Worked Example - Stacked Blocks - Free Body Diagrams and Applying Newtons 2nd Law
MIT 8.01 Classical Mechanics, Fall 2016
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Lecture 46
PS.2.2 Worked Example - Stacked Blocks - Solve for the Maximum Force
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PS.2.2 Worked Example - Stacked Blocks - Solve for the Maximum Force
MIT 8.01 Classical Mechanics, Fall 2016
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Lecture 47
PS.2.2 Worked Example - Stacked Blocks - Choosing the System of 2 Blocks Together
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PS.2.2 Worked Example - Stacked Blocks - Choosing the System of 2 Blocks Together
MIT 8.01 Classical Mechanics, Fall 2016
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Lecture 48
PS.2.3 Window Washer Free Body Diagrams
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PS.2.3 Window Washer Free Body Diagrams
MIT 8.01 Classical Mechanics, Fall 2016
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Lecture 49
PS.2.3 Window Washer Solution
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PS.2.3 Window Washer Solution
MIT 8.01 Classical Mechanics, Fall 2016
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Lecture 50
Newton's 3rd Law Pairs
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Newton's 3rd Law Pairs
MIT 8.01 Classical Mechanics, Fall 2016
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Lecture 51
Internal and External Forces
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Internal and External Forces
MIT 8.01 Classical Mechanics, Fall 2016
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Lecture 52
Applying Newton's 2nd Law
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Applying Newton's 2nd Law
MIT 8.01 Classical Mechanics, Fall 2016
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Lecture 53
8.0 Week 3 Introduction
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8.0 Week 3 Introduction
MIT 8.01 Classical Mechanics, Fall 2016
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Instructor: Prof. Deepto Chakrabarty



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XI. Lesson 8: Circular Motion - Position and Velocity
Lecture 54
8.1 Polar Coordinates
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8.1 Polar Coordinates
MIT 8.01 Classical Mechanics, Fall 2016
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Lecture 55
8.2 Circular Motion: Position and Velocity Vectors
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8.2 Circular Motion: Position and Velocity Vectors
MIT 8.01 Classical Mechanics, Fall 2016
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Lecture 56
8.3 Angular Velocity
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8.3 Angular Velocity
MIT 8.01 Classical Mechanics, Fall 2016
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XII. Lesson 9: Uniform Circular Motion
Lecture 57
9.1 Uniform Circular Motion
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9.1 Uniform Circular Motion
MIT 8.01 Classical Mechanics, Fall 2016
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Lecture 58
9.2 Uniform Circular Motion: Direction of the Acceleration
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9.2 Uniform Circular Motion: Direction of the Acceleration
MIT 8.01 Classical Mechanics, Fall 2016
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XIII. Lesson 10: Circular Motion – Acceleration
Lecture 59
10.1 Circular Motion - Acceleration
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10.1 Circular Motion - Acceleration
MIT 8.01 Classical Mechanics, Fall 2016
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Lecture 60
10.2 Angular Acceleration
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10.2 Angular Acceleration
MIT 8.01 Classical Mechanics, Fall 2016
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Lecture 61
10.3 Worked Example - Angular position from angular acceleration.
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10.3 Worked Example - Angular position from angular acceleration.
MIT 8.01 Classical Mechanics, Fall 2016
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XIV. Lesson 11: Newton's 2nd Law and Circular Motion
Lecture 62
11.1 Newton's 2nd Law and Circular Motion
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11.1 Newton's 2nd Law and Circular Motion
MIT 8.01 Classical Mechanics, Fall 2016
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Lecture 63
11.2 Worked Example - Car on a Banked Turn
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11.2 Worked Example - Car on a Banked Turn
MIT 8.01 Classical Mechanics, Fall 2016
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Lecture 64
11.3 Demo: Rotating Bucket
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11.3 Demo: Rotating Bucket
MIT 8.01 Classical Mechanics, Fall 2016
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Instructor: Caleb Bonyun



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XV. Week 3 Worked Examples
Lecture 65
PS.3.1 Worked Example - Orbital Circular Motion - Radius
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PS.3.1 Worked Example - Orbital Circular Motion - Radius
MIT 8.01 Classical Mechanics, Fall 2016
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Lecture 66
PS.3.1 Worked Example - Orbital Circular Motion - Velocity
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PS.3.1 Worked Example - Orbital Circular Motion - Velocity
MIT 8.01 Classical Mechanics, Fall 2016
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Lecture 67
PS.3.1 Worked Example - Orbital Circular Motion - Period
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PS.3.1 Worked Example - Orbital Circular Motion - Period
MIT 8.01 Classical Mechanics, Fall 2016
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Lecture 68
12.0 Week 4 Introduction
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12.0 Week 4 Introduction
MIT 8.01 Classical Mechanics, Fall 2016
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XVI. Lesson 12: Pulleys and Constraints
Lecture 69
12.1 Pulley Problems
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12.1 Pulley Problems
MIT 8.01 Classical Mechanics, Fall 2016
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Lecture 70
12.2 Constraint Condition
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12.2 Constraint Condition
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Lecture 71
12.3 Virtual Displacement
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12.3 Virtual Displacement
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Lecture 72
12.4 Solve the System of Equations
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12.4 Solve the System of Equations
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Lecture 73
12.5 Worked Example: 2 Blocks and 2 Pulleys
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12.5 Worked Example: 2 Blocks and 2 Pulleys
MIT 8.01 Classical Mechanics, Fall 2016
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XVII. Lesson 13: Massive Rope
Lecture 74
13.1 Rope Hanging Between Trees
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13.1 Rope Hanging Between Trees
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Lecture 75
13.2 Differential Analysis of a Massive Rope
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13.2 Differential Analysis of a Massive Rope
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Lecture 76
13.3 Differential Elements
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13.3 Differential Elements
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Lecture 77
13.4 Density
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13.4 Density
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Lecture 78
13.5 Demo: Wrapping Friction
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13.5 Demo: Wrapping Friction
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Lecture 79
13.6 Summary for Differential Analysis
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13.6 Summary for Differential Analysis
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XVIII. Lesson 14: Resistive Forces
Lecture 80
14.1 Intro to resistive forces
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14.1 Intro to resistive forces
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Lecture 81
14.2 Resistive forces - low speed case
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14.2 Resistive forces - low speed case
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Lecture 82
14.3 Resistive forces - high speed case
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14.3 Resistive forces - high speed case
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Lecture 83
15.0 Week 5 Introduction
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15.0 Week 5 Introduction
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XIX. Lesson 15: Momentum and Impulse
Lecture 84
15.1 Momentum and Impulse
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15.1 Momentum and Impulse
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Lecture 85
15.2 Impulse is a Vector
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15.2 Impulse is a Vector
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Lecture 86
15.3 Worked Example - Bouncing Ball
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15.3 Worked Example - Bouncing Ball
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Lecture 87
15.4 Momentum of a System of Point Particles
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15.4 Momentum of a System of Point Particles
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Lecture 88
15.5 Force on a System of Particles
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15.5 Force on a System of Particles
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XX. Lesson 16: Conservation of Momentum
Lecture 89
16.1 Cases of Constant Momentum
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16.1 Cases of Constant Momentum
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Lecture 90
16.2 Momentum Diagrams
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16.2 Momentum Diagrams
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XXI. Lesson 17: Center of Mass and Motion of the Center of Mass
Lecture 91
17.1 Definition of the Center of Mass
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17.1 Definition of the Center of Mass
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Lecture 92
17.2 Worked Example - Center of Mass of 3 Objects
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17.2 Worked Example - Center of Mass of 3 Objects
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Lecture 93
17.3 Center of Mass of a Continuous System
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17.3 Center of Mass of a Continuous System
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Lecture 94
17.5 Worked Example - Center of Mass of a Uniform Rod
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17.5 Worked Example - Center of Mass of a Uniform Rod
MIT 8.01 Classical Mechanics, Fall 2016
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Lecture 95
17.6 Velocity and Acceleration of the Center of Mass
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17.6 Velocity and Acceleration of the Center of Mass
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Lecture 96
17.7 Reduction of a System to a Point Particle
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17.7 Reduction of a System to a Point Particle
MIT 8.01 Classical Mechanics, Fall 2016
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Lecture 97
18.0 Week 6 Introduction
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18.0 Week 6 Introduction
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XXII. Lesson 18: Relative Velocity and Recoil
Lecture 98
18.1 Relative Velocity
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18.1 Relative Velocity
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Lecture 99
18.2 Set up a Recoil Problem
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18.2 Set up a Recoil Problem
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Lecture 100
18.3 Solve for Velocity in the Ground Frame
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18.3 Solve for Velocity in the Ground Frame
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Lecture 101
18.4 Solve for Velocity in the Moving Frame
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18.4 Solve for Velocity in the Moving Frame
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XXIII. Lesson 19: Continuous Mass Transfer
Lecture 102
19.1 Rocket Problem 1 - Set up the Problem
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19.1 Rocket Problem 1 - Set up the Problem
MIT 8.01 Classical Mechanics, Fall 2016
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Lecture 103
19.2 Rocket Problem 2 - Momentum Diagrams
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19.2 Rocket Problem 2 - Momentum Diagrams
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Lecture 104
19.3 Rocket Problem 3 - Mass Relations
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19.3 Rocket Problem 3 - Mass Relations
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Lecture 105
19.4 Rocket Problem 4 - Solution
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19.4 Rocket Problem 4 - Solution
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Lecture 106
19.5 Rocket Problem 5 - Thrust and External Forces
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19.5 Rocket Problem 5 - Thrust and External Forces
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Lecture 107
19.6 Rocket Problem 6 - Solution for No External Forces
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19.6 Rocket Problem 6 - Solution for No External Forces
MIT 8.01 Classical Mechanics, Fall 2016
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Lecture 108
19.7 Rocket Problem 7 - Solution with External Forces
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19.7 Rocket Problem 7 - Solution with External Forces
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XXIV. Week 6 Worked Examples
Lecture 109
PS.6.1 Rocket Sled - Differential Equation
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PS.6.1 Rocket Sled - Differential Equation
MIT 8.01 Classical Mechanics, Fall 2016
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Lecture 110
PS.6.1 Rocket Sled - Integrate the Rocket Equation
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PS.6.1 Rocket Sled - Integrate the Rocket Equation
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Lecture 111
PS.6.1 Rocket Sled - Solve for Initial Velocity
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PS.6.1 Rocket Sled - Solve for Initial Velocity
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Lecture 112
PS.6.2 Snowplow Problem
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PS.6.2 Snowplow Problem
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Lecture 113
20.0 Week 7 Introduction
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20.0 Week 7 Introduction
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XXV. Lesson 20: Kinetic Energy and Work in 1D
Lecture 114
20.1 Kinetic Energy
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20.1 Kinetic Energy
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Lecture 115
20.2 Work by a Constant Force
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20.2 Work by a Constant Force
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Lecture 116
20.3 Work by a Non-Constant Force
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20.3 Work by a Non-Constant Force
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Lecture 117
20.4 Integrate adt and adx
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20.4 Integrate adt and adx
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Lecture 118
20.5 Work-Kinetic Energy Theorem
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20.5 Work-Kinetic Energy Theorem
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Lecture 119
20.6 Power
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20.6 Power
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XXVI. Lesson 21: Kinetic Energy and Work in 2D and 3D
Lecture 120
21.1 Scalar Product Properties
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21.1 Scalar Product Properties
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Lecture 121
21.2 Scalar Product in Cartesian Coordinates
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21.2 Scalar Product in Cartesian Coordinates
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Lecture 122
21.3 Kinetic Energy as a Scalar Product
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21.3 Kinetic Energy as a Scalar Product
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Lecture 123
21.4 Work in 2D and 3D
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21.4 Work in 2D and 3D
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Lecture 124
21.5 Work-Kinetic Energy Theorem in 2D and 3D
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21.5 Work-Kinetic Energy Theorem in 2D and 3D
MIT 8.01 Classical Mechanics, Fall 2016
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Lecture 125
21.6 Worked Example: Block Going Down a Ramp
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21.6 Worked Example: Block Going Down a Ramp
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XXVII. Lesson 22: Conservative and Non-Conservative Forces
Lecture 126
22.1 Path Independence - Gravity
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22.1 Path Independence - Gravity
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Lecture 127
22.2 Path Dependence - Friction
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22.2 Path Dependence - Friction
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Lecture 128
22.3 Conservative Forces
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22.3 Conservative Forces
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Lecture 129
22.4 Non-conservative Forces
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22.4 Non-conservative Forces
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Lecture 130
22.5 Summary of Work and Kinetic Energy
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22.5 Summary of Work and Kinetic Energy
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XXVIII. Week 7 Worked Examples
Lecture 131
PS.7.1 Worked Example - Collision and Sliding on a Rough Surface
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PS.7.1 Worked Example - Collision and Sliding on a Rough Surface
MIT 8.01 Classical Mechanics, Fall 2016
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Lecture 132
23.0 Week 8 Introduction
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23.0 Week 8 Introduction
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XXIX. Lesson 23: Potential Energy
Lecture 133
23.1 Introduction to Potential Energy
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23.1 Introduction to Potential Energy
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Lecture 134
23.2 Potential Energy of Gravity near the Surface of the Earth
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23.2 Potential Energy of Gravity near the Surface of the Earth
MIT 8.01 Classical Mechanics, Fall 2016
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Lecture 135
23.3 Potential Energy Reference State
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23.3 Potential Energy Reference State
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Lecture 136
23.4 Potential Energy of a Spring
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23.4 Potential Energy of a Spring
MIT 8.01 Classical Mechanics, Fall 2016
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Lecture 137
23.5 Potential Energy of Gravitation
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23.5 Potential Energy of Gravitation
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XXX. Lesson 24: Conservation of Energy
Lecture 138
24.1 Mechanical Energy and Energy Conservation
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24.1 Mechanical Energy and Energy Conservation
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Lecture 139
24.2 Energy State Diagrams
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24.2 Energy State Diagrams
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Lecture 140
24.3 Worked Example - Block Sliding Down Circular Slope
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24.3 Worked Example - Block Sliding Down Circular Slope
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Lecture 141
24.4 Newton's 2nd Law and Energy Conservation
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24.4 Newton's 2nd Law and Energy Conservation
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XXXI. Lesson 25: Potential Energy Diagrams
Lecture 142
25.1 Force is the Derivative of Potential
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25.1 Force is the Derivative of Potential
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Lecture 143
25.2 Stable and Unstable Equilibrium Points
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25.2 Stable and Unstable Equilibrium Points
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Lecture 144
25.3 Reading Potential Energy Diagrams
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25.3 Reading Potential Energy Diagrams
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Lecture 145
26.0 Week 9 Introduction
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26.0 Week 9 Introduction
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XXXII. Lesson 26: Types of Collision
Lecture 146
26.1 Momentum in Collisions
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26.1 Momentum in Collisions
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Lecture 147
26.2 Kinetic Energy in Collisions
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26.2 Kinetic Energy in Collisions
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Lecture 148
26.3 Totally Inelastic Collisions
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26.3 Totally Inelastic Collisions
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XXXIII. Lesson 27: Elastic Collisions
Lecture 149
27.1 Worked Example: Elastic 1D Collision
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27.1 Worked Example: Elastic 1D Collision
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Lecture 150
27.2 Relative Velocity in 1D
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27.2 Relative Velocity in 1D
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Lecture 151
27.3 Kinetic Energy and Momentum Equation
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27.3 Kinetic Energy and Momentum Equation
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Lecture 152
27.4 Worked Example: Elastic 1D Collision Again
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27.4 Worked Example: Elastic 1D Collision Again
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Lecture 153
27.5 Worked Example: Gravitational Slingshot
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27.5 Worked Example: Gravitational Slingshot
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Lecture 154
27.6 2D Collisions
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27.6 2D Collisions
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XXXIV. Deep Dive: Center of Mass Reference Frame
Lecture 155
DD.2.1 Position in the CM Frame
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DD.2.1 Position in the CM Frame
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Lecture 156
DD.2.2 Relative Velocity is Independent of Reference Frame
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DD.2.2 Relative Velocity is Independent of Reference Frame
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Lecture 157
DD.2.3 1D Elastic Collision Velocities in CM Frame
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DD.2.3 1D Elastic Collision Velocities in CM Frame
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Lecture 158
DD.2.4 Worked Example: 1D Elastic Collision in CM Frame
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DD.2.4 Worked Example: 1D Elastic Collision in CM Frame
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Lecture 159
DD.2.5 Kinetic Energy in Different Reference Frames
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DD.2.5 Kinetic Energy in Different Reference Frames
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Lecture 160
DD.2.6 Kinetic Energy in the CM Frame
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DD.2.6 Kinetic Energy in the CM Frame
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Lecture 161
DD.2.7 Change in the Kinetic Energy
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DD.2.7 Change in the Kinetic Energy
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Lecture 162
28.0 Week 10 Introduction
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28.0 Week 10 Introduction
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XXXV. Lesson 28: Motion of a Rigid Body
Lecture 163
28.1 Rigid Bodies
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28.1 Rigid Bodies
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Lecture 164
28.2 Introduction to Translation and Rotation
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28.2 Introduction to Translation and Rotation
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Lecture 165
28.3 Review of Angular Velocity and Acceleration
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28.3 Review of Angular Velocity and Acceleration
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XXXVI. Lesson 29: Moment of Inertia
Lecture 166
29.1 Kinetic Energy of Rotation
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29.1 Kinetic Energy of Rotation
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Lecture 167
29.2 Moment of Inertia of a Rod
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29.2 Moment of Inertia of a Rod
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Lecture 168
29.3 Moment of Inertia of a Disc
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29.3 Moment of Inertia of a Disc
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Lecture 169
29.4 Parallel Axis Theorem
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29.4 Parallel Axis Theorem
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Lecture 170
29.5 Deep Dive - Moment of Inertia of a Sphere
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29.5 Deep Dive - Moment of Inertia of a Sphere
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Lecture 171
29.6 Deep Dive - Derivation of the Parallel Axis Theorem
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29.6 Deep Dive - Derivation of the Parallel Axis Theorem
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XXXVII. Lesson 30: Torque
Lecture 172
30.1 Introduction to Torque and Rotational Dynamics
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30.1 Introduction to Torque and Rotational Dynamics
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Lecture 173
30.2 Cross Product
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30.2 Cross Product
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Lecture 174
30.3 Cross Product in Cartesian Coordinates
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30.3 Cross Product in Cartesian Coordinates
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Lecture 175
30.4 Torque
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30.4 Torque
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Lecture 176
30.5 Torque from Gravity
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30.5 Torque from Gravity
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XXXVIII. Lesson 31: Rotational Dynamics
Lecture 177
31.1 Relationship between Torque and Angular Acceleration
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31.1 Relationship between Torque and Angular Acceleration
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Lecture 178
31.2 Internal Torques Cancel in Pairs
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31.2 Internal Torques Cancel in Pairs
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Lecture 179
31.3 Worked Example - Find the Moment of Inertia of a Disc from a Falling Mass
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31.3 Worked Example - Find the Moment of Inertia of a Disc from a Falling Mass
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Lecture 180
31.4 Worked Example - Atwood Machine
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31.4 Worked Example - Atwood Machine
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Lecture 181
31.5 Massive Pulley Problems
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31.5 Massive Pulley Problems
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Lecture 182
31.7 Worked Example - Two Blocks and a Pulley Using Energy
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31.7 Worked Example - Two Blocks and a Pulley Using Energy
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XXXIX. Week 10 Worked Examples
Lecture 183
PS.10.1 Worked Example - Blocks with Friction and Massive Pulley
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PS.10.1 Worked Example - Blocks with Friction and Massive Pulley
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Lecture 184
32.0 Week 11 Introduction
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32.0 Week 11 Introduction
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XL. Lesson 32: Angular Momentum of a Point Particle
Lecture 185
32.1 Angular Momentum for a Point Particle
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32.1 Angular Momentum for a Point Particle
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Lecture 186
32.2 Calculating Angular Momentum
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32.2 Calculating Angular Momentum
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Lecture 187
32.3 Worked Example - Angular Momentum About Different Points
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32.3 Worked Example - Angular Momentum About Different Points
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Lecture 188
32.4 Angular Momentum of Circular Motion
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32.4 Angular Momentum of Circular Motion
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XLI. Lesson 33: Angular Momentum of a Rigid Body about a Fixed Axis
Lecture 189
33.1 Worked Example - Angular Momentum of 2 Rotating Point Particles
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33.1 Worked Example - Angular Momentum of 2 Rotating Point Particles
MIT 8.01 Classical Mechanics, Fall 2016
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Lecture 190
33.2 Angular Momentum of a Symmetric Object
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33.2 Angular Momentum of a Symmetric Object
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Lecture 191
33.4 If Momentum is Zero then Angular Momentum is Independent of Origin
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33.4 If Momentum is Zero then Angular Momentum is Independent of Origin
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Lecture 192
33.5 Kinetic Energy of a Symmetric Object
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33.5 Kinetic Energy of a Symmetric Object
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XLII. Lesson 34: Torque and Angular Impulse
Lecture 193
34.1 Torque Causes Angular Momentum to Change - Point Particle
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34.1 Torque Causes Angular Momentum to Change - Point Particle
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Lecture 194
34.2 Torque Causes Angular Momentum to Change - System of Particles
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34.2 Torque Causes Angular Momentum to Change - System of Particles
MIT 8.01 Classical Mechanics, Fall 2016
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Lecture 195
34.3 Angular Impulse
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34.3 Angular Impulse
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Lecture 196
34.4 Demo: Bicycle Wheel Demo
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34.4 Demo: Bicycle Wheel Demo
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Lecture 197
34.5 Worked Example - Particle Hits Pivoted Ring
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34.5 Worked Example - Particle Hits Pivoted Ring
MIT 8.01 Classical Mechanics, Fall 2016
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Lecture 198
35.0 Week 12 Introduction
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35.0 Week 12 Introduction
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XLIII. Lesson 35: Rolling Kinematics
Lecture 199
35.1 Translation and Rotation of a Wheel
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35.1 Translation and Rotation of a Wheel
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Lecture 200
35.2 Rolling Wheel in the Center of Mass Frame
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35.2 Rolling Wheel in the Center of Mass Frame
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Lecture 201
35.3 Rolling Wheel in the Ground Frame
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35.3 Rolling Wheel in the Ground Frame
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Lecture 202
35.4 Rolling Without Slipping Slipping and Skidding
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35.4 Rolling Without Slipping Slipping and Skidding
MIT 8.01 Classical Mechanics, Fall 2016
View the complete course: http://ocw.mit.edu/8-01F16
Instructor: Dr. Peter Dourmashkin



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Lecture 203
35.5 Contact Point of a Wheel Rolling Without Slipping
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35.5 Contact Point of a Wheel Rolling Without Slipping
MIT 8.01 Classical Mechanics, Fall 2016
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Instructor: Dr. Peter Dourmashkin



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XLIV. Lesson 36: Rolling Dynamics
Lecture 204
36.1 Friction on a Rolling Wheel
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36.1 Friction on a Rolling Wheel
MIT 8.01 Classical Mechanics, Fall 2016
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Instructor: Dr. Peter Dourmashkin



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Lecture 205
36.2 Worked Example - Wheel Rolling Without Slipping Down Inclined Plane - Torque Method
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36.2 Worked Example - Wheel Rolling Without Slipping Down Inclined Plane - Torque Method
MIT 8.01 Classical Mechanics, Fall 2016
View the complete course: http://ocw.mit.edu/8-01F16
Instructor: Dr. Peter Dourmashkin



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Lecture 206
36.3 Demo: Spool Demo
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36.3 Demo: Spool Demo
MIT 8.01 Classical Mechanics, Fall 2016
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Instructor: Caleb Bonyun



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Lecture 207
36.4 Worked Example - Yoyo Pulled Along the Ground
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36.4 Worked Example - Yoyo Pulled Along the Ground
MIT 8.01 Classical Mechanics, Fall 2016
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Instructor: Dr. Peter Dourmashkin



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Lecture 208
36.5 Analyze Force and Torque in Translation and Rotation Problems
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36.5 Analyze Force and Torque in Translation and Rotation Problems
MIT 8.01 Classical Mechanics, Fall 2016
View the complete course: http://ocw.mit.edu/8-01F16
Instructor: Dr. Peter Dourmashkin



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XLV. Lesson 37: Rolling Kinetic Energy and Angular Momentum
Lecture 209
37.1 Kinetic Energy of Translation and Rotation
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37.1 Kinetic Energy of Translation and Rotation
MIT 8.01 Classical Mechanics, Fall 2016
View the complete course: http://ocw.mit.edu/8-01F16
Instructor: Dr. Peter Dourmashkin



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Lecture 210
37.2 Worked Example - Wheel Rolling Without Slipping Down Inclined Plane
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37.2 Worked Example - Wheel Rolling Without Slipping Down Inclined Plane
MIT 8.01 Classical Mechanics, Fall 2016
View the complete course: http://ocw.mit.edu/8-01F16
Instructor: Dr. Peter Dourmashkin



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Lecture 211
37.3 Angular Momentum of Translation and Rotation
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37.3 Angular Momentum of Translation and Rotation
MIT 8.01 Classical Mechanics, Fall 2016
View the complete course: http://ocw.mit.edu/8-01F16
Instructor: Dr. Peter Dourmashkin



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XLVI. Deep Dive: Gyroscopes
Lecture 212
DD.3.1 Deep Dive - Gyroscopes - Free Body Diagrams, Torque, and Rotating Vectors
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DD.3.1 Deep Dive - Gyroscopes - Free Body Diagrams, Torque, and Rotating Vectors
MIT 8.01 Classical Mechanics, Fall 2016
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Instructor: Prof. Deepto Chakrabarty



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Lecture 213
DD.3.2 Deep Dive - Gyroscopes - Precessional Angular Velocity and Titled Gyroscopes
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DD.3.2 Deep Dive - Gyroscopes - Precessional Angular Velocity and Titled Gyroscopes
MIT 8.01 Classical Mechanics, Fall 2016
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Instructor: Prof. Deepto Chakrabarty



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Lecture 214
DD.3.3 Deep Dive - Gyroscopes - Nutation and Total Angular Momentum
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DD.3.3 Deep Dive - Gyroscopes - Nutation and Total Angular Momentum
MIT 8.01 Classical Mechanics, Fall 2016
View the complete course: http://ocw.mit.edu/8-01F16
Instructor: Prof. Deepto Chakrabarty



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