said by TheMG
:In case you don't know, the metal can that's strapped to the side of the motor is the capacitor.
Two steps to determine if the motor is OK:
1) power up the motor, give the rotor a bit of a spin with your hand, if the motor starts running then proceed to the next step
2) use a multimeter and test for continuity of the start winding, if you have good continuity, then the motor is OK and the capacitor is bad
I thought the piggy thing is some type of thermal shut-off device when the motor body gets too hot.