An object with a mass of $12 kg$ is hanging from an axle with a radius of $2 m$ . If the wheel attached to the axle has a radius of $6 m$ , how much force must be applied to the wheel to keep the object from falling?

Question

1310 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-12-02T09:21:33

The force is $F=39.2N$

enter image source here

The load is $L=12gN$

The radius of the axle is $r=2m$

The radius of the wheel is $R=6m$

The effort is $=FN$

The acceleration due to gravity is $g=9.8ms^-2$

Taking moments about the center of the axle

$F*6=12g*2$

$F=12g*2/6=39.2N$

The force is $F=39.2N$

An object with a mass of 12 kg12 kg is hanging from an axle with a radius of 2 m2 m. If the wheel attached to the axle has a radius of 6 m6 m, how much force must be applied to the wheel to keep the object from falling?