# An object with a mass of 6 kg is hanging from an axle with a radius of 6 m. If the wheel attached to the axle has a radius of 48 m, how much force must be applied to the wheel to keep the object from falling?

##### 1 Answer
Nov 9, 2016

The force is $= 7.5 N$

#### Explanation:

This is a statics problem.
To keep the object from falling, the moment about the center of the axle mus be balanced.
Let the force be $F$
Then the moments are
$6 g \cdot 6 = F \cdot 48$
$\therefore F = 6 g \cdot \frac{6}{48} = 7.5 N$