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The objective of this video is to solve a problem based on the dynamics using the polar coordinates system. First of all, the video defines the given exemplary problem that has asked to calculate down the position, velocity and acceleration at time 8.0 seconds based on the given equations of angle and displacement with reference to time. Next, the video illustrates a schematic diagram of the example and vividly elaborates the problem over the polar coordinate system.
Moving on, the video shows first derivation and second derivation of the given expressions of angle and displacement with respect to time and successively finds the position, velocity and acceleration at time 8 seconds giving the available data inputs to the expanded equations. At end, the video gives a summary overview on the workout illustrated in this lesson. It is highly suggested to do practices to have better understanding on how to solve such types of problem in polar coordinates system.
Mechanics, the study of forces and physical bodies, underpins a very large proportion of all forms of engineering. A thorough understanding of mechanics is essential to any successful engineer. This course helps develop an understanding of the nature of forces with consideration for how they may be simplified in an engineering context. The conditions of equilibrium are then used to solve a number of problems in 2D and 3D before moving on to a broad range of topics including centroids, distributed loads, friction and virtual work. The course will also provide an introduction to dynamics, with a particular focus on the effects that forces have upon motion.