An object with a mass of #2# #kg# is hanging from an axle with a radius of #4# #m#. If the wheel attached to the axle has a radius of #2# #m#, how much force must be applied to the wheel to keep the object from falling?

1 Answer
Nov 9, 2017

Answer:

The force is #=39.2N#

Explanation:

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The load is #L=2gN#

The radius of the axle is #r=4m#

The radius of the wheel is #R=2m#

The effort is #=FN#

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

Taking moments about the center of the axle

#F*2=2g*4#

#F=2g*4/2=39.2N#

The force is #F=39.2N#