Q: A wheel of moment of inertia I and radius R is rotating about its axis at an angular speed ω_{0}. It picks up a stationary particle of mass m at its edge. Find the new angular speed of the wheel.

(a) $ \displaystyle \frac{2 I \omega_0}{I + m R^2} $

(b) $ \displaystyle \frac{ I \omega_0}{I + m R^2} $

(c) $ \displaystyle \frac{ I \omega_0}{I + 2 m R^2} $

(d) $ \displaystyle \frac{ I \omega_0}{2 I + m R^2} $

Ans: (b)