The engine mounts are loose or damaged.

1. Inspect the engine mounts.
2. Tighten to specifications or replace as necessary.

Refer to Engine Mount Replacement in Engine Mechanical - 5.7L.

The clutch driven plate hub is defective.

1. Inspect the clutch driven plate hub for damage.
2. Replace the clutch driven plate, if necessary.

Refer to Clutch Pressure Plate and Clutch Driven Plate in Clutch.

The propeller shaft universal joints are worn.

1. Inspect the universal joints.
2. Replace the universal joints as necessary.

Refer to Universal Joint Replacement in Propeller Shaft.