Loose steering/suspension joints.
Wheel balance.
Damaged tire.
Bent rim.
More than likely your tires are out of balance. Have your tires rotated and balanced. Make sure they check for a bent wheel.
There will need to be an alignment done on the vehicle to straighten the steering wheel properly. The adjustment to make it straight is called a "toe Adjustment". If it pulls while driving causing the steering wheel not to be straight it will need a Caster or Camber adjustment or all of these may need adjustmnet.
bearings old tires shock observers steering wheel
the steering wheel wont make the front wheels make noise as there is no generating source from the steering wheel. it will be the other way around.
What make the steering wheel shake is the tires that need wheel balance.
jiggle the steering wheel there is probably tension on it to make it hard to unlock
Check the fluid in the power steering. If it is low the car will make noise when you turn the wheel.
Power steering or wheel bearing?
Steering wheel noises can be caused by low power steering fluid. A loose or worn belt or suspension problems can also cause a steering wheel to make noises when turned.
No
check your power steering fluid
power steering fluid not filled?