Question

A soild sphere is rolling without slipping as shown in figure. The magnitude of velocity of point P on the surface is:

• A. $3m{s}^{-}1$
• B. $\frac{3\sqrt{3}}{2}m{s}^1$
• C. $3\sqrt{3}m{s}^{-}1$
• D. Zero

Answer 1

The correct option is A $3m{s}^{-}1$

Given that,

Velocity $\omega =3m/s$

Radius $R=1m$

We know that,

The angular velocity is

$v=\omega \times R$

$v=3\times 1$

$v=3m/s$

Hence, the magnitude of velocity of point $P$ on the surface is $3m/s$