# An object with a mass of #5 kg# is hanging from an axle with a radius of #12 m#. If the wheel attached to the axle has a radius of #4 m#, how much force must be applied to the wheel to keep the object from falling?

The force is

The load L=(5g)N#

Radius of axle

Radius of wheel

Taking moments about the center of the axle

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The force required to keep the object from falling is equal to the weight of the object, which is its mass multiplied by the acceleration due to gravity (9.8 m/s^2). So, the force required is 5 kg × 9.8 m/s^2. Additionally, the force applied at the wheel is related to the torque required to balance the gravitational torque. The torque applied at the wheel is equal to the force applied multiplied by the radius of the wheel. Therefore, the force required at the wheel can be calculated by dividing the torque required by the radius of the wheel. So, force required = (5 kg × 9.8 m/s^2) / 4 m. Calculate this to find the force required at the wheel in newtons.

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