Question

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

• A. angular velocity of the disc is $2V/r$
• B. linear velocity, $V_0=V$
• C. angular velocity of the disc is $3V/2r$
• D. none of these

Answer 1

Answer: (A), (B)

linear velocity, $V_0=V$
angular velocity of the disc is $2V/r$

There is no slipping at A and B.

Thus $V_A=3V$

$V_o-rw=3V$ ............(1)

Also $V_B=V$

$V_o+rw=-V$ .............(2)

Adding (1) & (2) $⟹2V_o=2V$

Thus $V_o=V$

Now $V-rw=3V⟹|w|=\frac{2V}{r}$