# An object with a mass of 6 kg is hanging from an axle with a radius of 54 m. If the wheel attached to the axle has a radius of 3 m, how much force must be applied to the wheel to keep the object from falling?

Feb 25, 2017

The force is $= 176.4 N$

#### Explanation:

The load is $= 6 g N$

The radius of axle is $= 54 m$

The radius of wheel is $= 3 m$

The effort is $= E k g$

Taking moments about the center of the axle

$6 g \cdot 54 = E \cdot 3$

$E = \frac{54 \cdot 6 g}{3} = 108 g N$

Force =108gN=176.4N