An object with a mass of $18 kg$ is hanging from an axle with a radius of $15 cm$ . If the wheel attached to the axle has a radius of $60 cm$ , how much force must be applied to the wheel to keep the object from falling?

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Answer 1 · 2017-07-05T05:09:22

The force is $=44.1N$

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The load $L=(18g)N$

Radius of axle $r=0.15m$

Radius of wheel $R=0.6m$

Taking moments about the center of the axle

$F*R=L*r$

$F*0.6=18*g*0.15$

$F=(18*g*0.15)/0.6=44.1N$

The force is $F=44.1N$

An object with a mass of 18 kg18 kg is hanging from an axle with a radius of 15 cm15 cm. If the wheel attached to the axle has a radius of 60 cm60 cm, how much force must be applied to the wheel to keep the object from falling?