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 $54 m$ , how much force must be applied to the wheel to keep the object from falling?

Question

1254 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-12-17T18:48:43

The force is $F=61.0N$

enter image source here

The load is $L=24gN$

The radius of the axle is $r=14m$

The radius of the wheel is $R=54m$

The effort is $=FN$

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

Taking moments about the center of the axle

$F*54=24g*14$

$F=(24g*14)/54=61.0N$

The force is $F=61.0N$

An object with a mass of 24 kg24 kg is hanging from an axle with a radius of 14 m14 m. If the wheel attached to the axle has a radius of 54 m54 m, how much force must be applied to the wheel to keep the object from falling?