An object with a mass of #18 kg# is hanging from an axle with a radius of #15 cm#. If the wheel attached to the axle has a radius of #45 cm#, how much force must be applied to the wheel to keep the object from falling?

1 Answer
Dec 12, 2017

Answer:

The force is #=58.8N#

Explanation:

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The load is #L=18gN#

The radius of the axle is #r=0.15m#

The radius of the wheel is #R=0.45m#

The effort is #=FN#

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

Taking moments about the center of the axle

#F*0.45=18g*0.15#

#F=(18g*0.15)/0.45=58.8N#

The force is #F=58.8N#