Question

Two forces F₁ = F₂ are applied on a wheel of radius 1.5 m, such that moment of couple is 30 Nm. Calculate the magnitude of each of the force.

Answer 1

Given: Moment of couple = 30 Nm, Radius = 1.5 m

∴ Arm of couple = 2 × radius = 2 × 1.5 m = 3 m

Moment of couple = Force × arm of couple

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

\[=\frac{30\ \text{Nm}}{3\ \text{m}}\]

= 10 N