The dryer makes an electrical buzzing sound but the drum doesn't spin. I can spin the drum manually, which I never could before the problem started. Model GE DBVH512EFOWW

Hello,
it could be the motor ,or perhaps the belt is broke but sounds more like the motor since ge uses a belt switch so if the belt were broke it would not even make the buzzing sound.
get some help from someone in the house and set the timer to any cycle,open the door and push in the door switch then have the other person engage the start switch while you rotate the drum if the dryer runs like that but wont start with the door closed and engaging the start switch as normal the start winding is bad on the motor and the motor would need to be replaced and the cost of that is about equal to a new dryer
Good luck!!

Michael00256 (that's a great name by the way). several things could be going on. If you can gain access inside the cabinet, you'll need to do that.
http://www.do-it-yourself-washing-machine-and-dryer-repair-help.com/take-apart-GEelectricgasdryer.html here's some video help that should tell you what you need to know.
http://www.do-it-yourself-washing-machine-and-dryer-repair-help.com/GE-HP-dryer-is-not-tumbling.html here is also a link that should tell you exactly what you need to check.
The problem could be in the motor, with the belt, or a few more things.
If you get this far and still have not solve your problem, please contact me. My name is Mike, and I would be more than happy to help you out in solving this problem.
thanks,
mike
PS; if you're even slightly handy, this could be something that you can do yourself.