Vibration Question

I bought a 77 Volare Road Runner with a 318. The guy had put a 727 and a 340/360 cast crank converter in it and couldn't figure out why it shook when he sold it to me . I drove it a couple of days like that and couldn't believe how bad it vibrated -at 35 mph it felt like your teeth would fall out. After the weights were popped off it, it was smooth though. I snapped them off by wedging a screwdriver under them and prying.Probably not "by the book" but it worked.
Thanks