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Question

At a given instant, block A is moving with velocity of 5 m/s upwards. What is the velocity of block B at that time?


A
15 m/s (Downward)
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B
15 m/s (Upward)
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C
10 m/s (Downward)
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D
10 m/s (Upward)
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Solution

The correct option is A 15 m/s (Downward)
Let divide the rope into three parts l1,l2,l3 as shown in figure. Assume block B is moving downward.

l1+2l2+l3= constant
Now, differentiating the above equation with respect to time, we get
vA2vP+vB=0
Here, vP= velocity of pulley =vA
vB=3vA
=15 m/s (downward)

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