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An object with a mass of #5 kg# is hanging from an axle with a radius of #18 m#. If the wheel attached to the axle has a radius of #3 m#, how much force must be applied to the wheel to keep the object from falling?

Answer 1

Isabella Alvarez

The force is #=294N#

The load #L=(5g)N#

Radius of axle #r=18m#

Radius of wheel #R=3m#

Taking moments about the center of the axle

#F*R=L*r#

#F*3=5*g*18#

#F=(5*g*18)/3=294N#

The force is #F=294N#

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Answer 2

Emily Abbate

To keep the object from falling, a force of approximately 81.67 Newtons must be applied to the wheel.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.