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An object with a mass of #2 kg# is hanging from an axle with a radius of #3 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

Elena Albarran

The force is #=19.6N#

The load #L=(2g)N#

Radius of axle #r=3m#

Radius of wheel #R=3m#

Taking moments about the center of the axle

#F*R=L*r#

#F*3=2*g*3#

#F=(2*g*3)/3=2g=19.6N#

The force is #F=19.6N#

We expect this value as the radius of the axle is equal to the radius of the wheel,

#r=R#

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Answer 2

Charlotte Aaron

The force required is 20 N.

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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.