Question

If $V$ is the velocity of centre of mass of a rolling body then which of the following statements would be correct:
Velocity of top most point is $\sqrt{2}V$ .
Velocity of lowest point is $V/\sqrt{2}$ .
Velocity of top most point is $2V$.
Velocity of lowest point is $zero$.

• A. $A$ and $B$ are true
• B. $A$ and $D$ are true
• C. $B$ and $C$ are true
• D. $C$ and $D$ are true

Answer 1

Answer: (D)

$C$ and $D$ are true

Whole body is in pure rotation wrt pt of contact.
$V=R\omega$
$V_T=2R\omega$

Adding the linear velocity with rotational velocity vectorially,we get,

Velocity at top is $2v$ and,
Velocity at bottom point is zero as it is the point of no slipping.