Rotating back. Sometimes you accidentily move it ever so slightly and will cause it to lock up. If that happens, just give the back a slight twist to lock it into position again n see if that cures your problem?
Another problem with firing, a newbie error. When holding the camera in the ready position you tend to put your hand on the top and or bottom right edge of the rotating back pushing on the 2 small silver thingies that read if the film back n dark slide are mounted. If you push these tabs, you can unlock the film back graphlocs to remove the back without a dark slide in. Well... when you push these thingies, you also tell the camera not to fire because the dark slide is in.
I had a kid that kept bringing his camera back to me saying it was broken no matter how many times I fixed it. I'd go over it and for the life of me couldn't find anything wrong, it worked great and was one of my better loaners. Just for the heck of it I asked the kid to show me waht was wrong. He grabed the camera, set up his shot and bingo... he was pushiung on the thingies and it wouldn't fire. He'd give it to me and it would work perctly. He'd try again n it wouldn't fire. Once I showed him what was wrong, it never happend again.
The very last n final reason may be the pin in the rotating back is dirty or not firing properly. Un mount the roatating back n push the pin in the silver tit to see if it is free? If not clean it and put a dab of WD40 on it. Check to see if it is bent as well?