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Questions  

ln the arrangement shown in figure the ends P and Q of an non-stretchable string move downwards with uniform speed U. Pulleys A and B are fixed. Mass M moves upwards with a speed

 

a
2U cos θ
b
U cos θ
c
2Ucos θ
d
Ucos θ

detailed solution

Correct option is D

As P and p fall down, the length / decreases at the rate of U m/s.From the figure, l2 = b2+v2Differentiating with respect to time2l × dldt = 2b×dbdt+2y×dydt(As dbdt=0, dldt = U)⇒ dydt = (ly)×dldt ⇒ dydt = (1cos θ)×U = Ucos θ

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