(a) Explanation Given Information: The velocity of block B ( v B ) is 2 ft/s . The acceleration of block B ( a B ) is − 3 ft/s 2 . Calculation: Write the expression for the cable length: L = y A + 2 x B + constants (1) Here, y A is length of the cable A and x B is length of the cable B in horizontal direction. Differentiate the Equation (1) with respective to time ( t ). d y A d t + 2 d x B d t = 0 Denotes d y A d t as v A and d x B d t as v B . Since, rate of change of any coordinate with respect to time is equal to the velocity. v A + 2 v B = 0 (2) Differentiate the Equation (2) with respective to time ( t ) (b) To determine The acceleration ( a A ) of the block A .

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ISBN: 9781260663778

Author: BEER

Publisher: MCG

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Chapter 11.4, Problem 11.123P

(a)

To determine

The velocity (vA) of the block A.

(b)

To determine

The acceleration (aA) of the block A.

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Chapter 11.4, Problem 11.122P

Chapter 11.4, Problem 11.124P

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The velocity ( v A ) of the block A .

Solution Summary: The author compares the velocity of the block A and its acceleration. The rate of change of any coordinate with respect to time is equal.