An object with a mass of $8 kg$ is hanging from an axle with a radius of $30 m$ . If the wheel attached to the axle has a radius of $96 m$ , how much force must be applied to the wheel to keep the object from falling?

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Answer 1 · 2018-04-10T13:40:33

The force is $F=24.5N$

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The load is $L=8gN$

The radius of the axle is $r=30m$

The radius of the wheel is $R=96m$

The effort is $=FN$

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

Taking moments about the center of the axle

$F*96=8g*30$

$F=(8g*30)/96=24.5N$

The force is $F=24.5N$

An object with a mass of 8 kg8 kg is hanging from an axle with a radius of 30 m30 m. If the wheel attached to the axle has a radius of 96 m96 m, how much force must be applied to the wheel to keep the object from falling?