Published by:
CGP EDU Academic Team
Published on: August 14, 2026
A block is dragged on a smooth plane with the help of a rope which moves with velocity
as shown in the figure. The horizontal velocity of the block is
Text Solution
Verified by ExpertsThe correct answer is:
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On applying pythagoras theorem in
, we get

Now, differentiate both sides with respect to
, we get

From the figure, we see that time rate of change of
is horizontal velocity of the block to be found.

From Eq. (i), we have

where,
is the velocity at which the rope is moving.

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