Question

Prove that Moment of couple = Force $\times$ couple arm.

Answer 1

Moment of force at the end A = F $\times$ OA (Anticlockwise)

Moment of force F at the end B = F $\times$ OB (Anticlockwise)

Total moment of couple (moment of both the forces) = F $\times$ OA + F $\times$ OB
= F $\times$ ( OA + OB)

= F $\times$ d (Anticlockwise)

Therefore, Moment of couple = force $\times$ couple arm