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Q.

In the arrangement shown in fig. the ends P and Q of an unstretchable string move downwards withuniform speed U. Pulleys A and B are fixed. Mass M rnoves upwards with a speed

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a

2Ucosq

b

Ucosq

c

2U/cosq

d

U/cosq

answer is D.

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Detailed Solution

As P and Q move down, the length l decreases at the rate of U m/s.From figure (1), l2=b2+y2Differentiating with respect to time 2ldldt=2ydydt∴ dydt=ldlydt=1cos⁡θ⋅dldt=Ucos⁡θ.
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