Check all front end components for wear. Then check the engine and transmission mounts as the engine could be shifting and causing the shake.
Drive shaft is going out
If your car shakes while accelerating check your motor mounts. Then check your transmission.
A vibration in the front end of a Volvo S60 while accelerating is due to imbalanced tires. Swap the tires until the right combination is achieved.
Shaking when accelerating and braking show a front end issue. Check the lug nuts to make sure your tires are bolted on tight. Check for play in front end components, like the wheel bearings and tie rod ends. While possibly causing the vibration, the front brakes usually only cause a shake when braking.
if it shakes while your braking your front roters could be warped or if it shakes while your driving try balancing the tires at a tire shop.
you will need a front wheel alignment
bad wheel bearings
Front Wheel alignment
Your front, left or right axle needs to be replaced.
hi it sounds like your universail joints or tail shaft
worn out tierods
A worn out Universal joint in the rear driveshaft.