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This video shows the consideration of direction cosine for 3-D vectors followed by a comprehensive 3-D vector example. First part of the video displays a 3-D reference frame containing a 3-D vector & subsequently elaborates its components value along x, y & z axes with the cosine angle representing the direction of 3-D vector in 3D space. Next, the video introduces with the formula to find the value of resultant vector magnitude from the component values acting x, y & z axes. The video, then move on to a problem, with the objective to find the resultant vector magnitude from the given data.
In the exemplary problem, there are two vectors given with the acting angle over the 3-D reference frame. The absolute values of these vectors are also given. Moving on, the video briefly shows how to obtain these vectors in terms of unit vector along the x, y & z axis explaining all the facts & figures in details. Later, the video talks about the adding operation required to do to get resultant vector & finally refers to watch next video to continue the lesson of 3-D vectors example.
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.