An object with a mass of $3 k g$ $3 kg$ is hanging from an axle with a radius of $6 m$ $6 m$ . 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 · 2017-03-23T14:13:56

The force is $= 14.7 N$ $=14.7N$

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

Radius of axle $r = 6 m$ $r=6m$

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

Taking moments about the center of the axle

$F \cdot 12 = 3 \cdot g \cdot 6$ $F*12=3*g*6$

$F = \frac{3 \cdot g \cdot 6}{12} = \frac{3}{2} g = 14.7 N$ $F=(3*g*6)/12=3/2g=14.7N$

An object with a mass of 3kg3 kg is hanging from an axle with a radius of 6m6 m. If the wheel attached to the axle has a radius of 12m12 m, how much force is needed to raise the object?