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An object with a mass of #24 kg# is hanging from an axle with a radius of #14 m#. If the wheel attached to the axle has a radius of #54 m#, how much force must be applied to the wheel to keep the object from falling?

Answer 1

Nora Arzate

The force is #F=61.0N#

The load is #L=24gN#

The radius of the axle is #r=14m#

The radius of the wheel is #R=54m#

The effort is #=FN#

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

Taking moments about the center of the axle

#F*54=24g*14#

#F=(24g*14)/54=61.0N#

The force is #F=61.0N#

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Answer 2

Isabella Alvarez

The force required is approximately 330.86 Newtons.

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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.