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EX13.1 Dependent Motion Example

# EX13.1 Dependent Motion Example - the pulley Also h is a...

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Relate the velocities and accelerations of Block B and Block A. Need to write an expression for the length of the cable – label distances on the picture and write your equation Can you Determine the velocity relationship? Can you Determine the acceleration relationship EX13.1 Dependent Motion Example What is your first step? Solution: Problem Type: Find: Given: Geometry v A in terms of v B , a A in terms of a B Constrained Motion Reflection: As Block B moves downward, Block A moves to the left. You must be consistent with your sign conventions! Note that s B is only defined to the center of the pulley above block B, since this block moves with
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Unformatted text preview: the pulley. Also, h is a constant no matter how the blocks move. Finally the red colored segments of the cable remain constant as the blocks move. L = 2s B + h + s A + constant Where L is the total cord length and “constant” equals the lengths of the red segments . 2v B = -v A 0=2 v B +v A 2a B = -a A Problem can also be worked by defining the position of mass B from the bottom pulley instead of the top pulley. The position, velocity, and acceleration relations then become 2(h – s B ) + h + s A = L and 2v B = v A 2a B = a A Sketch:...
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