An object with a mass of $4 k g$ $4 kg$ is hanging from an axle with a radius of $5 m$ $5 m$ . If the wheel attached to the axle has a radius of $18 m$ $18 m$ , how much force is needed to raise the object?

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Answer 1 · 2017-08-21T06:35:25

The force is $F = 10.89 N$ $F=10.89N$

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The load is $L = 4 g N$ $L=4gN$

The radius of the axle is $r = 5 m$ $r=5m$

The radius of the wheel is $R = 18 m$ $R=18m$

The effort is $= F N$ $=FN$

Taking moments about the center of the axle

$F \cdot 18 = 4 g \cdot 5$ $F*18=4g*5$

$F = 4 g \cdot \frac{5}{18} = N$ $F=4g*5/18=N$

The force is $F = 10.89 N$ $F=10.89N$

An object with a mass of 4kg4 kg is hanging from an axle with a radius of 5m5 m. If the wheel attached to the axle has a radius of 18m18 m, how much force is needed to raise the object?