An object with a mass of #5 kg# is hanging from an axle with a radius of #16 m#. If the wheel attached to the axle has a radius of #6 m#, how much force must be applied to the wheel to keep the object from falling?

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Answer 1 · 2017-11-24T08:06:29

The force is #=11.7N#

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The load is #L=5gN#

The radius of the axle is #r=16m#

The radius of the wheel is #R=6m#

The effort is #=FN#

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

Taking moments about the center of the axle

#F*6=5g*16#

#F=5g*16/6=11.7N#

The force is #F=11.7N#