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An object with a mass of #15 kg# is hanging from an axle with a radius of #24 m#. If the wheel attached to the axle has a radius of #9 m#, how much force must be applied to the wheel to keep the object from falling?

Answer 1

Charles Aeschliman

The force is #=392N#

The load is #L=15gN#

The radius of the axle is #r=24m#

The radius of the wheel is #R=9m#

The effort is #=FN#

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

Taking moments about the center of the axle

#F*9=15g*24#

#F=(15g*24)/9=392N#

The force is #F=392N#

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Answer 2

Parker Abbott

To keep the object from falling, a force of approximately 58.8 N 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.