A wheel of moment of inertia I and radius R is rotating about its axis at an angular speed ${\mathrm{\omega }}_0$. It picks up a stationary particle of mass mat its edge. Find the new angular speed of the wheel.

• A

  ${\mathrm{\omega }}_0$

• B

  $\frac{{\mathrm{I\omega }}_0}{\mathrm{I}+{\mathrm{mR}}^2}$

• C

  $\frac{{\mathrm{mR}}^2{\mathrm{\omega }}_0}{\mathrm{I}+{\mathrm{mR}}^2}$

• D

  $\frac{{\mathrm{I\omega }}_0}{\mathrm{I}-{\mathrm{mR}}^2}$