# An object with a mass of 24 kg is hanging from an axle with a radius of 14 m. If the wheel attached to the axle has a radius of 42 m, how much force must be applied to the wheel to keep the object from falling?

$8 g N$
The moments must balance, so $24 \times 14 = F \times 42$, where $F$ is the force that must be applied. Hence $F = 24 \times \frac{14}{42} = 8$. Hence $8 g$, that is, the local weight of a mass of $8 k g$, since one kilogram has a weight of $g$ Newtons. (Informally, it would require a "weight' of 8kg on the wheel to balance the 'weight' of 24 kg on the axle.)