Hard

Question

In the arrangement shown in the figure the ends P and Q of an unstale string move downwards with uniform speed U. Pully A and B are fixed. Mass M moves upwards with a speed

             

Options

A.2U cos θ
B.U/cos θ
C.2U/cos θ
D.U/cos θ

Solution

    

In a right angle ᐃRQR
     l2 = 2 + y2
Differentiating this equation with respect to time, we get
2l = 0 + 2y
or =
Here, - = vm
   =
and - = U
Hence, vm =
∴ Correct option is (b).

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