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Questions  

In the arrangement shown in fig. the ends P and Q of an unstretchable string move downwards with

uniform speed U. Pulleys A and B are fixed. Mass M rnoves upwards with a speed

a
2Ucosq
b
Ucosq
c
2U/cosq
d
U/cosq

detailed solution

Correct option is D

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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