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An object with a mass of #18 kg# is hanging from an axle with a radius of #16 cm#. If the wheel attached to the axle has a radius of #22 cm#, how much force must be applied to the wheel to keep the object from falling?

Answer 1

Elena Albarran

The force is #=128.3N#

The load is #=18gN#

Taking moments about the center of the axle

#18g*0.16=E*0.22#

#E=(18g*0.16)/0.22#

#=128.3N#

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Answer 2

Lily Adams

To calculate the force needed to keep the object from falling, we need to consider the gravitational force acting on the object and the torque required to balance it.

The gravitational force acting on the object is given by: F_gravity = mass * gravitational acceleration

The torque required to balance the gravitational force is given by: Torque = Force * radius

Setting the torque equal to the gravitational force, we can solve for the force needed to keep the object from falling: Force = (mass * gravitational acceleration) / (radius of 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.