a system is shown in the figure a man standing on the block is pulling the Rope velocity of the point of string in contact with the hand of the man is 2 metre per second downward the velocity of the block will be assume that block does not rotate?
Answer is 1/2 m/s how??
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As the total length of the string is a constant
Let length of string pulled by man is x1
decrease in length of the rope is=x1
Now the distance between the pulleys remains constant so the only way the decrease in length is compenseted is that the block should rise upward a distance x2.
But x1=x2
As length remains constant
Differentiating both sides with respect to time
dx1/dt=dx2/dt
v1=v2
2=v2
so block rise with same velocity in the upward direction.
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