Q: A wheel of moment of inertia I and radius R is rotating about its axis at an angular speed ω0. 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)