An object with a mass of #7 kg# is hanging from an axle with a radius of #36 m#. If the wheel attached to the axle has a radius of #69 m#, how much force must be applied to the wheel to keep the object from falling?

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Answer 1 · 2017-10-07T13:06:48

The force is #=35.8N#

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The load is #L=7gN#

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

The radius of the wheel is #R=69m#

The effort is #=FN#

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

Taking moments about the center of the axle

#F*69=7g*36#

#F=7g*36/69=35.8N#

The force is #F=35.8N#