THE RESULTANT FORCE IN A COUPLE IS

• A. zero ✓
• B. infinite
• C. the sum of the forces
• D. thr product of the forces

Explanation:

1. Couple Definition: A couple is a pair of forces that are equal in magnitude, opposite in direction, and do not share the same line of action. These forces create a rotational effect without any translational motion.
2. Resultant Force in a Couple: Since the forces in a couple are equal in magnitude and opposite in direction, their effects cancel each other out when it comes to linear motion. As a result, the net force or resultant force in a couple is zero.
3. Rotational Effect: Despite the absence of a net force, couples produce a torque or moment that causes rotational motion. This torque is the product of one of the forces and the perpendicular distance between them.
4. Equilibrium: Couples contribute to maintaining equilibrium in systems by balancing out each other’s effects on linear motion while inducing rotation.

Therefore, the resultant force in a couple is zero as the equal and opposite forces neutralize each other’s effects on linear motion.

In other words, a couple is a pair of forces that are equal in magnitude, opposite in direction, and do not share the same line of action. When two forces form a couple, they create a turning effect or moment without any translational motion. Since the forces in a couple act along parallel lines but in opposite directions, their effects cancel each other out when considering the net force. As a result, the resultant force in a couple is zero.