Busted motor mount.
Yes, either can cause a shake while driving.
shake
Loose motor mounts.
shake
It could be that a motor mount has failed allowing the engine to vibrate, thus shaking the car.
check your motor mounts if not than it might not be your motor but the pavment your driving on.
shake
Worn steering parts, worn suspension parts, tires out of balance, out of alignment,
Wheel bearings and allignment. Can be tires as well and sometimes even a bad motor mount.
to quiver or shake a lot and to vibrate
rattle
pencils vibrate when someone moves it or shakes it.pencils also vibrate when there's an earthquake.