An object with a mass of #24 kg# is hanging from an axle with a radius of #5 m#. If the wheel attached to the axle has a radius of #12 m#, how much force must be applied to the wheel to keep the object from falling?

Answer 1

Sebastian Acosta

The force is #=98N#

The load is #L=24gN#

The radius of the axle is #r=5m#

The radius of the wheel is #R=12m#

The effort is #=FN#

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

Taking moments about the center of the axle

#F*12=24g*5#

#F=(24g*5)/12=N#

The force is #F=98N#

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Answer 2

Nicholas Agrusa

To keep the object from falling, the force applied to the wheel must equal the force of gravity acting on the object. The force of gravity can be calculated using the equation: Force of gravity = mass * gravitational acceleration. Therefore, the force required to keep the object from falling is approximately 2352 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.