# A wheel of moment of inertia I and radius R is rotating about its axis at an angular speed ωo….

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)