An object with a mass of $4 k g$ $4 kg$ is hanging from an axle with a radius of $9 m$ $9 m$ . If the wheel attached to the axle has a radius of $6 m$ $6 m$ , how much force is needed to raise the object?

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Answer 1 · 2017-06-18T11:18:35

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

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The load $L = (4 g) N$ $L=(4g)N$

Radius of axle $r = 9 m$ $r=9m$

Radius of wheel $R = 6 m$ $R=6m$

Taking moments about the center of the axle

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

$F \cdot 6 = 4 \cdot g \cdot 9$ $F*6=4*g*9$

$F = \frac{4 \cdot g \cdot 9}{6} = 58.8 N$ $F=(4*g*9)/6=58.8N$

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

An object with a mass of 4kg4 kg is hanging from an axle with a radius of 9m9 m. If the wheel attached to the axle has a radius of 6m6 m, how much force is needed to raise the object?