An object with a mass of $8 kg$ is hanging from an axle with a radius of $15 m$ . If the wheel attached to the axle has a radius of $90 m$ , how much force must be applied to the wheel to keep the object from falling?

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Answer 1 · 2017-10-25T05:54:36

The force is $=13.1N$

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The load is $L=8gN$

The radius of the axle is $r=15m$

The radius of the wheel is $R=90m$

The effort is $=FN$

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

Taking moments about the center of the axle

$F*90=8g*15$

$F=8g*15/90=13.1N$

The force is $F=13.1N$

An object with a mass of 8 kg8 kg is hanging from an axle with a radius of 15 m15 m. If the wheel attached to the axle has a radius of 90 m90 m, how much force must be applied to the wheel to keep the object from falling?