Possible bad motor mount
The engine is running C O C K
It is the engine that is vibrating and it is just being felt in the steering wheel. Can be a vacuum leak, or miss in the engine.
check your engine monts you can do this by having someone stand a long side of the car looking at the engine put the car into drive and se if the engine jerks left or right go back and forth to drive and reverse if it moves a lot then your engine mont is bad
because your to fat
If it vibrates at idle and runs good under under full throttle, you have a vacuum leak. It can also be defective spark plugs or plug wires.
Unbalanced tires, warped rotor, bad engine mount, bent drive shaft, bent wheel, bad wheel bearings, bad U-Joint or CV joint, or your car might have a rough idle.
The most probable cause would be the idle control on the engine. When you put a car in gear, there is a "load" put on it (the transmission is using power) and the idle speed normally drops. The idle could be dropping to the point where it becomes unstable and causes the engine to vibrate.
Take it to auto zone and hav3 the codes read for free.
Problem is related to idle solenoid. As you come to a stop the throttle closes. There has to be a bypass to allow air to flow into the engine. This is acheived via an idle solenoid valve located somewhere to the intake manifold and it is controlled by the computer.
check the idle speed with the car in gear, if it has a tac on the dash it should idle in gear at about 700 rpm if its too low the car will vibrate or stall.
bad engine mounts low rpm old timing belt over charged ac
engine idleing to slow turn up your idle to 1500 rpm at idle drive safe