An object with a mass of 5 kg5kg is hanging from an axle with a radius of 30 m30m. If the wheel attached to the axle has a radius of 9 m9m, how much force must be applied to the wheel to keep the object from falling?

1 Answer
Jun 18, 2017

The force is =1.63N=1.63N

Explanation:

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The load L=(5g)NL=(5g)N

Radius of axle r=0.3mr=0.3m

Radius of wheel R=9mR=9m

Taking moments about the center of the axle

F*R=L*rFR=Lr

F*9=5*g*0.3F9=5g0.3

F=(5*g*0.3)/9=1.63NF=5g0.39=1.63N

The force is F=1.63NF=1.63N