A mouse of mass m jumps on the outside edge of a rotating ceiling fan of moment of inertia I and radius R. The fractional loss of angular velocity of the fan as a result is,
1
\(\frac{\mathrm{mR}^2}{\mathrm{I}+\mathrm{mR}^2}\)
2
\(\rm \frac{I}{I+m^2}\)
3
\(\frac{\mathrm{I}-\mathrm{mR} \mathrm{R}^2}{\mathrm{I}}\)
4
\(\frac{\mathrm{I}-\mathrm{mR}^2}{\mathrm{I}+\mathrm{mR}^2}\)