An object with a mass of #8 kg# is hanging from an axle with a radius of #15 m#. If the wheel attached to the axle has a radius of #90 m#, how much force must be applied to the wheel to keep the object from falling?

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Answer 1 · 2017-10-25T05:54:36

The force is #=13.1N#

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The load is #L=8gN#

The radius of the axle is #r=15m#

The radius of the wheel is #R=90m#

The effort is #=FN#

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

Taking moments about the center of the axle

#F*90=8g*15#

#F=8g*15/90=13.1N#

The force is #F=13.1N#