When the motor runs and the drum does not turn, the drive belt has usually broken or slipped off. The motor spins freely without moving the drum. Less often, the idler pulley has seized or the belt tensioner has failed. If the dryer makes no sound at all, look at the door switch or the power supply instead.
Central Minnesota Appliance Repair finds the same few causes on dryers in Minneapolis, St. Paul and the surrounding metro. A quick test tells you which group you are in: unplug the dryer, open the door and turn the drum by hand. If it spins with almost no resistance, the belt is almost certainly broken. If it is hard to turn or scrapes, a roller or bearing is the problem.