1. Spark Plug Misfiring: If one or more of your spark plugs are not working properly, it can cause the engine to run roughly, which can lead to vibrations in the steering wheel.
2. Loose Engine Mounts: Worn or loose engine mounts can allow the engine to move excessively when starting, causing the steering wheel to shake.
3. Faulty Serpentine Belt: A worn or loose serpentine belt can cause the belt to vibrate, which can be felt in the steering wheel.
4. Driveshaft Issues: If the driveshaft is damaged or unbalanced, it can cause vibrations that are transmitted to the steering wheel.
5. Tire Alignment: Improperly aligned tires can cause the vehicle to pull to one side or the other, which can also cause vibrations in the steering wheel.
6. Brakes: Warped brake rotors or worn brake pads can cause vibrations in the steering wheel when braking.
If the shaking is severe or persistent, it's important to have your vehicle diagnosed by a qualified mechanic to determine the exact cause and have it repaired.