Question

A circular plate rotating about its axis with angular speed $\omega$ is placed lightly (without any translational push) on a perfectly frictionless table. The radius of the disc is R. Let $V_A{B}_B$ and $V_c$ be the magnitudes of linear velocities of the points A, B and C on the disc as shown. Then

• A. $V_A{>V}_B>V_c$
• B. $V_A{<V}_B<V_c$
• C. $V_A{=V}_B>V_c$
• D. $V_A{=B}_B<V_c$

Answer 1

The correct option is C $V_A{=V}_B>V_c$

$V_A=R{\omega }_0,V_B=R{\omega }_0,V_C=\left(R/2\right){\omega }_0$

The disc will not roll

For point A

$V_A=R{\omega }_0$

For point B

$V_B=R{\omega }_0$

For point C

$V_C=\left(R/2\right){\omega }_0$

Thus, $V_A=V_B>V_C$