I can hear the motor running, but it does not spin

I think this is a dryer we're talking about -- First link is more of visual aid
Believe your motor is fine -- sounds like a belt problem -- check belt or tensioner

How to Replace the Motor on a Dryer

These two links may be helpful for anyone working on a dryer

Appliance Parts from RepairClinic.com - Detailed Appliance Illustration

Appliance Parts from RepairClinic.com - Detailed Appliance Illustration

Last link shows how belts install -- this may be helpful if belt is broken

Belt Installation