If your car shakes while accelerating check your motor mounts. Then check your transmission.
cause they do
Yes, either can cause a shake while driving.
No
a bad engine
yes
A car can shake because of a problem in the transmission although this usually is not the problem. I will assume it shakes while it is idling or just starting out. It can also shake due to broken motor or transmission mount(s), bad u joints, a loose harmonic balancer, an unbalanced driveshaft or problems in the rear differential.
Yes, it is possible.
Yes, it can.
sure. 65;
Bad tires and bad alignment can cause the car to shake at certain speeds.
If other things vibrate as well as the steering wheel you might have a damaged motor/transmission mount.