An object with a mass of $5 k g$ $5 kg$ is hanging from an axle with a radius of $48 m$ $48 m$ . If the wheel attached to the axle has a radius of $3 m$ $3 m$ , how much force must be applied to the wheel to keep the object from falling?

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Answer 1 · 2017-03-11T15:48:43

The force is $= 784 N$ $=784N$

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The load $= 5 g N$ $=5gN$

Radius of axle $r = 48 m$ $r=48m$

Radius of wheel $R = 3 m$ $R=3m$

Taking moments about the center of the axle

$F \cdot 3 = 5 g \cdot 48$ $F*3=5g*48$

$F = \frac{5 g \cdot 48}{3} = 80 g = 784 N$ $F=(5g*48)/3=80g=784N$

An object with a mass of 5kg5 kg is hanging from an axle with a radius of 48m48 m. If the wheel attached to the axle has a radius of 3m3 m, how much force must be applied to the wheel to keep the object from falling?