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An object with a mass of #18 kg# is hanging from an axle with a radius of #15 cm#. If the wheel attached to the axle has a radius of #45 cm#, how much force must be applied to the wheel to keep the object from falling?

Answer 1

Leo Abeyta

The force is #=58.8N#

The load is #L=18gN#

The radius of the axle is #r=0.15m#

The radius of the wheel is #R=0.45m#

The effort is #=FN#

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

Taking moments about the center of the axle

#F*0.45=18g*0.15#

#F=(18g*0.15)/0.45=58.8N#

The force is #F=58.8N#

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Answer 2

Nicholas Agrusa

The force required to keep the object from falling is approximately 72.6 Newtons.

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Answer 3

Adam Arnold

The force that must be applied to the wheel to keep the object from falling is 264 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.