An object with a mass of $24 kg$ is hanging from an axle with a radius of $24 m$ . 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?

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Answer 1 · 2017-08-30T06:29:19

The force is $=78.4N$

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The load is $L=24gN$

The radius of the axle is $r=0.24m$

The radius of the wheel is $R=0.72m$

The effort is $=FN$

Taking moments about the center of the axle

$F*0.72=24g*0.24$

$F=24g*0.24/0.72=8g=78.4N$

The force is $F=78.4N$

An object with a mass of 24 kg24 kg is hanging from an axle with a radius of 24 m24 m. If the wheel attached to the axle has a radius of 72 m72 m, how much force must be applied to the wheel to keep the object from falling?