An object with a mass of #15 kg# is hanging from an axle with a radius of #24 m#. If the wheel attached to the axle has a radius of #48 m#, how much force must be applied to the wheel to keep the object from falling?

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Answer 1 · 2017-11-01T07:10:23

The force is #F=73.5N#

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The load is #L=15gN#

The radius of the axle is #r=24m#

The radius of the wheel is #R=48m#

The effort is #=FN#

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

Taking moments about the center of the axle

#F*48=15g*24#

#F=15g*24/48=73.5N#

The force is #F=73.5N#