An object with a mass of 2 kg2kg is hanging from an axle with a radius of 2 m2m. If the wheel attached to the axle has a radius of 28 m28m, how much force must be applied to the wheel to keep the object from falling?

1 Answer
Jan 5, 2018

The force is F=1.4NF=1.4N

Explanation:

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The load is L=2gNL=2gN

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

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

The effort is =FN=FN

The acceleration due to gravity is g=9.8ms^-2g=9.8ms2

Taking moments about the center of the axle

F*28=2g*2F28=2g2

F=(2g*2)/28=1.4NF=2g228=1.4N

The force is F=1.4NF=1.4N