An object with a mass of #6 kg# is hanging from an axle with a radius of #7 m#. If the wheel attached to the axle has a radius of #48 m#, how much force must be applied to the wheel to keep the object from falling?

1 Answer
Dec 30, 2017

Answer:

The force is #=8.575N#

Explanation:

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The load is #L=6gN#

The radius of the axle is #r=7m#

The radius of the wheel is #R=48m#

The effort is #=FN#

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

Taking moments about the center of the axle

#F*48=6g*7#

#F=(6g*7)/48=8.575N#

The force is #F=8.575N#