An object with a mass of $24 k g$ $24 kg$ is hanging from an axle with a radius of $5 m$ $5 m$ . If the wheel attached to the axle has a radius of $20 m$ $20 m$ , how much force must be applied to the wheel to keep the object from falling?

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Answer 1 · 2017-03-09T15:45:37

The force is $= 58.8 N$ $=58.8N$

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The load $= 24 g N$ $=24gN$

Radius of axle $r = 5 m$ $r=5m$

Radius of wheel $R = 20 m$ $R=20m$

Taking moments about the center of the axle

$F \cdot 20 = 24 g \cdot 5$ $F*20=24g*5$

$F = \frac{24 g \cdot 5}{20} = 6 g = 58.8 N$ $F=(24g*5)/20=6g=58.8N$

An object with a mass of 24 kg24kg24 kg is hanging from an axle with a radius of 5 m5m5 m. If the wheel attached to the axle has a radius of 20 m20m20 m, how much force must be applied to the wheel to keep the object from falling?