An object with a mass of #2 kg# is hanging from an axle with a radius of #14 m#. If the wheel attached to the axle has a radius of #21 m#, how much force is needed to raise the object?

1 Answer
Dec 16, 2017

Answer:

The force is #F=13.1N#

Explanation:

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The load is #L=2gN#

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

The radius of the wheel is #R=21m#

The effort is #=FN#

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

Taking moments about the center of the axle

#F*21=2g*14#

#F=(2g*14)/21=13.1N#

The force is #F=13.1N#