Question

prove that
moment of couple=Force X couple arm.
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Answer 1

Answer:

Let AB is bar which is pivoted at point O. At the end A and B, two equal and opposite force each of magnitude F, are applied. The perpendicular distance between two forces is AB which is called the couple arm. Thus, Moment of couple = Force x couple arm

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Answer 2

Answer:

Have ever spun a bike wheel or pushed a merry-go-round? Also, everyone must have spun the top. These are nothing but the examples of '' Rotational Dynamics ''. Let us now study in detail about the system of particles and rotational dynamics.

Explanation:

At A and B. two equal and opposite forces, each of magnitude F is applied. The two forces rotate the bar in the anticlockwise direction. The perpendicular distance between the two forces is AB which is called the couple arm.

Moment of force F at the end A

=F×OA (anticlockwise)

Moment of force F at the end B

=F×OB (anticlockwise)

Total moment of a couple =F×OA=F×OB

=F×(OA+OB)=F=AB

=F×d (anticlockwise)

= Either force x perpendicular distance between the two forces (or couple arm)

Thus. Moment of couple = Force × Couple arm