Capacitor of a single phase motor is short circuited then single phase motor will not start.
If capacitor is short circuit then phase difference between main winding and starting winding is very small depend on the nature of winding. T ∝ . sinθ. Torque is proportional to fine phase difference between main and starting winding current due to phase angle between main and starting winding very small. Torque will not sufficient to over come the inertia of motor and will not start.