Explanation Given information: Block ‘A’ starts from rest and moves at constant acceleration of 1 f t / s 2 to left In a dependent motion of particles such as the pulley system shown above, The total length of the rope is a constant For example, 2 x A + 2 x B + x C = C C - Constant 2 d x A d t + 2 d x B d t + d x C d t = 0 Calculation: In above system the total length of rope is constant, therefore, L = x A + 3 y B + C Where, C - Constant Differentiate above equation, v A + 3 v B = 0 Differentiate above equation, a A + 3 a B = 0 Find the acceleration of block B, a B = − 1 3 a A = − 1 3 ( 1 f t / s 2 ) = − 1 3 f t / s 2 Define the accele To determine (b) The velocity of block ‘B’ after 2 s

12th Edition

ISBN: 9781259977237

Author: BEER

Publisher: MCG

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Chapter 11, Problem 11.186RP

To determine

(a)

The acceleration A with respect to B

To determine

(b)

The velocity of block ‘B’ after 2 s

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Chapter 11, Problem 11.185RP

Chapter 11, Problem 11.187RP

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(a) The acceleration A with respect to B

Solution Summary: The author explains the acceleration of block A with respect to B. The total length of the rope is a constant in the pulley system.