An object with a mass of 7 kg7kg is hanging from an axle with a radius of 36 m36m. If the wheel attached to the axle has a radius of 72 m72m, how much force must be applied to the wheel to keep the object from falling?

1 Answer
Dec 19, 2017

The force is F=34.3NF=34.3N

Explanation:

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The load is L=7gNL=7gN

The radius of the axle is r=36mr=36m

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

The effort is =FN=FN

The [cceleration due to gravity is g=9.8ms^-2g=9.8ms2

Taking moments about the center of the axle

F*72=7g*36F72=7g36

F=(7g*36)/72=34.3NF=7g3672=34.3N

The force is F=34.3NF=34.3N