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An object with a mass of #8 kg# is hanging from an axle with a radius of #15 cm#. If the wheel attached to the axle has a radius of #60 cm#, how much force must be applied to the wheel to keep the object from falling?

Answer 1

Olivia Askew

The force is #=19.6N#

The load L=(8g)N#

Radius of axle #r=0.15m#

Radius of wheel #R=0.60m#

Taking moments about the center of the axle

#F*R=L*r#

#F*0.60=8*g*0.15#

#F=(8*g*0.15)/0.16=19.6N#

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Answer 2

Axel Acevedo

To keep the object from falling, a force of approximately 314.16 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.