The steering wheel in my vehicle shakes when sitting in gear with the brakes on?
When sitting at idle and in gear the engine is under load. A rough idle will be most noticeable under these conditions. This will be far more pronounced if the engine mounts are bad. Good engine mounts can absorb engine vibration. Worn or torn mounts can allow the engine to shake the chassis and the steering wheel. If the engine is idling excessively rough, vibration may be felt even with good mounts. A vacuum leak, bad idle control motor, plugged injectors or several other things can cause an excessively rough idle.