Question

Two forces F₁ and F₂ are applied on a circular body such that moment of couple is 9 Nm in a CWD. Calculate the radius of circular body.

 

Answer 1

Moment of couple = 9 Nm in CWD

F₁ = F₂ = 15 N

Moment of couple = Force × arm of couple

\[\text{Arm of couple} = \frac{\text{Moment of couple}}{\text{Force}}\]

\[= \frac{9 \text{ Nm}}{15 \text{ N}}\]

= 0.6 m

∴ Arm of couple = 2 × radius

\[\text{Radius} = \frac{\text{Arm of couple}}{2}\]

\[= \frac{0.6 \text{ m}}{2}\]

= 0.3 m

= 30 cm