An object with a mass of $3 k g$ $3 kg$ is hanging from an axle with a radius of $9 m$ $9 m$ . If the wheel attached to the axle has a radius of $12 m$ $12 m$ , how much force is needed to raise the object?

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Answer 1 · 2017-09-10T07:06:35

The force is greater than $= 22.05 N$ $=22.05N$

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The load is $L = 3 g N$ $L=3gN$

The radius of the axle is $r = 9 m$ $r=9m$

The radius of the wheel is $R = 12 m$ $R=12m$

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

Taking moments about the center of the axle

$F \cdot 12 = 3 g \cdot 9$ $F*12=3g*9$

$F = 3 g \cdot \frac{9}{12} = 22.05 N$ $F=3g*9/12=22.05N$

The force is $F = 22.05 N$ $F=22.05N$

An object with a mass of 3kg3 kg is hanging from an axle with a radius of 9m9 m. If the wheel attached to the axle has a radius of 12m12 m, how much force is needed to raise the object?