An object with a mass of #24 kg# is hanging from an axle with a radius of #14 m#. If the wheel attached to the axle has a radius of #54 m#, how much force must be applied to the wheel to keep the object from falling?

1 Answer
Dec 17, 2017

Answer:

The force is #F=61.0N#

Explanation:

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The load is #L=24gN#

The radius of the axle is #r=14m#

The radius of the wheel is #R=54m#

The effort is #=FN#

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

Taking moments about the center of the axle

#F*54=24g*14#

#F=(24g*14)/54=61.0N#

The force is #F=61.0N#