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Question

A small disc of mass m is placed on a body of mass M at rest. If the disc is set in horizontal motion with velocity v as shown,

(Assume that disc does not leave surface of M and all surfaces are smooth)

A
the block M will start moving due to force exerted by m
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B
the block M stays at rest as surface is smooth
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C
block M and m always move with same speed
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D
block M and m can never move with same speed
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Solution

The correct option is A the block M will start moving due to force exerted by m
The block M will start moving right, due to normal reaction exerted on it by m.
Option a is correct.
As there is no external force acting on system, net momentum is conserved.
Initially disc has velocity v and M is at rest.
When disc m reaches maximum height on M ie, m is at rest wrt M
let common velocity of masses be V
then,
mv=(M+m)V
Hence, blocks m,M can have same velocity, when disc m reaches maximum height, before that their speeds are different.
c,d are false.

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