Rotational MotionHard

Question

The disc of radius r is confined to roll without slipping at A and B. If the plates have the velocities shown, then
                                             

Options

A.linear velocity v0 = v
B.angular velocity of disc is
C.angular velocity of disc is
D.None of these

Solution

vA = ω0r - v0 = v
ω0r - v0 = v .........(i)
vB = ω0 r + v0 = 3v ..........(ii)
from equation (i) & (ii) 2ω0r = 4V ⇒ ω0r = 2v
ω0 = from equation (i) v0 = v
           

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