An object with a mass of $24 kg$ is hanging from an axle with a radius of $16 m$ . 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 · 2018-03-09T07:33:21

The force is $F=52.3N$

www.odicis.org

The load is $L=24gN$

The radius of the axle is $r=16m$

The radius of the wheel is $R=72m$

The effort is $=FN$

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

Taking moments about the center of the axle

$F*72=24g*16$

$F=(24g*16)/72=52.3N$

The force is $F=52.3N$

An object with a mass of 24 kg24 kg is hanging from an axle with a radius of 16 m16 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?