Sounds like it might be a start winding or start capacitor. Need a little more info, though...
Sadly, the manuals seldom cover the drive motor except as a totally replaceable item. I know we can't get parts breakdowns for them -- and we buy quite a few... 
Take the belt off the motor pulley and try to turn the projector over by hand. You'll probably have to take the back covers off and turn the 'driven' pulley.
...OR... is it the old kind where the motor sits sideways?... Then you'll have to undo the coupler. (The "U-Joint" thingy.)
Whatever the model, the theory is the same. Try to see if the projector mechanism has locked up or if it's really the motor.
(HOPE it's just the motor
)
OH! By the way... Make DAMN WELL SURE you have the power turned off when you go tinkering around there!!!
Just remember, on most projectors the switches and power disconnects are all out of reach of somebody standing on the off-operator side. If you get your arm caught in there while it's running there's NO WAY IN HELL you'll be able to turn off the motor!!! And that thing WILL snap your finger like a dry twig if you get it caught in there!!!