1) Keep body in good balance.
2) Facilitate to use shoulder muscles other than forearm (it’s natural for our symmetric two hands/arms to do the same motion).
3) Prevent torso from overturning to lose control and consistency.
4) Act as a brake to stop body further turning so that arm and racquet continue to accelerate to reach max speed (whipping motion).
One common mistake for one-handed backhand groundstrokes is to swing with forearm only, which is a major cause of tennis elbow. Use of non-dominant hand as shown in this video will easily correct this mistake.
Justine Henin