An object with a mass of #2 kg# is hanging from an axle with a radius of #2 m#. If the wheel attached to the axle has a radius of #28 m#, how much force must be applied to the wheel to keep the object from falling?

1 Answer
Jan 5, 2018

The force is #F=1.4N#

Explanation:

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The load is #L=2gN#

The radius of the axle is #r=2m#

The radius of the wheel is #R=28m#

The effort is #=FN#

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

Taking moments about the center of the axle

#F*28=2g*2#

#F=(2g*2)/28=1.4N#

The force is #F=1.4N#