An object with a mass of #5 kg# is hanging from an axle with a radius of #24 m#. If the wheel attached to the axle has a radius of #8 m#, how much force must be applied to the wheel to keep the object from falling?

1 Answer
Dec 2, 2017

The force is #F=52N#

Explanation:

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The load is #L=5gN#

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

The radius of the wheel is #R=8m#

The effort is #=FN#

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

Taking moments about the center of the axle

#F*8=5g*24#

#F=5g*24/8=52N#

The force is #F=52N#