Q.

A disc is performing pure rolling on a smooth stationary surface with constant angular velocity as shown in figure. At any instant, for the lower most point of the disc

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a

 velocity is zero, acceleration is zero

b

 velocity is v, acceleration is v2R

c

Velocity is  v, acceleration is zero

d

velocity is zero, acceleration is v2R

answer is D.

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Detailed Solution

At point G :

VG=V-ωR

VG=V-V      V=ωR

VG=0

So, the velocity at lowest point VG=0

Acceleration at point G:

aG=acom+α                         Here ; α=Angular accelerationaCOM=Acceleration of center of mass.

aG=V2R+0

aG=V2R    ω= constant So, α=0

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