# An object with a mass of 7 kg is hanging from an axle with a radius of 58 m. If the wheel attached to the axle has a radius of 72 m, how much force must be applied to the wheel to keep the object from falling?

Mar 28, 2017

The force is $= 55.3 N$

#### Explanation:

The load $= \left(7 g\right) N$

Radius of axle $r = 58 m$

Radius of wheel $R = 72 m$

Taking moments about the center of the axle

$F \cdot 72 = 7 \cdot g \cdot 58$

$F = \frac{7 \cdot g \cdot 58}{72} = 55.3 N$