An object with a mass of $24 k g$ $24 kg$ is hanging from an axle with a radius of $12 m$ $12 m$ . If the wheel attached to the axle has a radius of $48 m$ $48 m$ , how much force must be applied to the wheel to keep the object from falling?

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Answer 1 · 2017-03-15T15:04:15

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

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

Radius of axle $r = 12 m$ $r=12m$

Radius of wheel $R = 48 m$ $R=48m$

Taking moments about the center of the axle

$F \cdot 48 = 24 g \cdot 12$ $F*48=24g*12$

$F = \frac{24 g \cdot 12}{48} = 6 g = 58.8 N$ $F=(24g*12)/48=6g=58.8N$

An object with a mass of 24kg24 kg is hanging from an axle with a radius of 12m12 m. If the wheel attached to the axle has a radius of 48m48 m, how much force must be applied to the wheel to keep the object from falling?