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Q.

In the arrangement shown in figure, the ends P and Q of an unstretchable string move downwards with uniform speed u. Pulleys A and B are fixed: Mass M moves upward with a speed :

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a

2ucosθ

b

ucosθ

c

ucosθ

d

2ucosθ

answer is D.

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Detailed Solution

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As magnitude of component of velocity along string is constant so
vMcosθ=vP or vQ
vMcosθ=u⇒vM=ucosθ

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In the arrangement shown in figure, the ends P and Q of an unstretchable string move downwards with uniform speed u. Pulleys A and B are fixed: Mass M moves upward with a speed :