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Q.

A particle of mass ‘m’ is attached to the rim of a uniform disc of mass ‘m’ and radius R. The disc is rolling without slipping on a stationary horizontal surface, as shown in the figure. At a particular instant, the particle is at the top most position and centre of the disc has speed  v0 and its angular speed  ω. Choose the CORRECT option(s)regarding the motion of the system (disc + particle) at that instant.

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a

v0=ωR

b

Kinetic energy of the system is 114mv02

c

Speed of point mass m is less than 2v0

d

VC→−VB→=VB→−VD→

answer is A.

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Detailed Solution

K=KD+KP=12mv021+12+12m2V02=114mV02
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