An object with a mass of $3 kg$ is hanging from an axle with a radius of $9 cm$ . If the wheel attached to the axle has a radius of $27 cm$ , how much force must be applied to the wheel to keep the object from falling?

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Answer 1 · 2017-07-23T06:00:35

The force is $=9.8N$

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The load $L=(3g)N$

Radius of axle $r=0.09m$

Radius of wheel $R=0.27m$

Taking moments about the center of the axle

$F*R=L*r$

$F*0.27=3g*0.09$

$F=(3*g*0.09)/0.27=9.8N$

The force is $F=9.8N$

An object with a mass of 3 kg3 kg is hanging from an axle with a radius of 9 cm9 cm. If the wheel attached to the axle has a radius of 27 cm27 cm, how much force must be applied to the wheel to keep the object from falling?