Question

32. A couple is formed by two equal and opposite force f40N each. His distance between line of action of force is 5m. Calculate the moment of couple of the point about which rotation takes place is shifted, will there be any change in moment of couple?​

Answer 1

Given:

A couple is formed by two equal and opposite force f = 40N each. His distance between line of action of force is 5m.

To find:

Moment of couple ?

Calculation:

Couple is formed by 2 forces acting in a body such that they provide torque in the same direction.

Moment of Couple can be calculated by multiplying the opposite force with the perpendicular distance from axis.

Let Moment of Couple be M :

$\therefore \: M = force \times ( \perp \: distance)$

$\implies \: M = f \times ( \perp \:d)$

$\implies \: M = 40 \times 5$

$\implies \: M = 200 \: Nm$

So, Moment of Couple is 200 Nm , it is analogous to torque.

• Yes, moment of couple will change once the axis of rotation is changed, because the $\perp d$ will change accordingly.

Answer 2

Answer:

Moment of couple = 40 × 5 = 200 Nm

No, if the point about which rotation takes place, shifts, there is no change in moment of

couple.

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