An object with a mass of #24 kg# is hanging from an axle with a radius of #24 m#. If the wheel attached to the axle has a radius of #72 m#, how much force must be applied to the wheel to keep the object from falling?

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Answer 1 · 2017-08-30T06:29:19

The force is #=78.4N#

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The load is #L=24gN#

The radius of the axle is #r=0.24m#

The radius of the wheel is #R=0.72m#

The effort is #=FN#

Taking moments about the center of the axle

#F*0.72=24g*0.24#

#F=24g*0.24/0.72=8g=78.4N#

The force is #F=78.4N#