An object with a mass of $3 k g$ $3 kg$ is hanging from an axle with a radius of $2 m$ $2 m$ . 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 · 2017-06-27T06:10:07

The force is $= 4.9 N$ $=4.9N$

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The load $L = (3 g) N$ $L=(3g)N$

Radius of axle $r = 2 m$ $r=2m$

Radius of wheel $R = 12 m$ $R=12m$

Taking moments about the center of the axle

$F \cdot R = L \cdot r$ $F*R=L*r$

$F \cdot 12 = 3 \cdot g \cdot 2$ $F*12=3*g*2$

$F = \frac{3 \cdot g \cdot 2}{12} = \frac{1}{2} g = 4.9 N$ $F=(3*g*2)/12=1/2g=4.9N$

The force is $F = 4.9 N$ $F=4.9N$

An object with a mass of 3 kg3kg3 kg is hanging from an axle with a radius of 2 m2m2 m. If the wheel attached to the axle has a radius of 12 m12m12 m, how much force is needed to raise the object?