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 $7 m$ $7 m$ , how much force is needed to raise the object?

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Answer 1 · 2017-07-23T14:10:47

The force is $= 50.4 N$ $=50.4N$

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

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

Radius of wheel $R = 7 m$ $R=7m$

Taking moments about the center of the axle

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

$F \cdot 7 = 4 g \cdot 9$ $F*7=4g*9$

$F = \frac{4 \cdot g \cdot 9}{7} = 50.4 N$ $F=(4*g*9)/7=50.4N$

The force is $F = 50.4 N$ $F=50.4N$

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 7m7 m, how much force is needed to raise the object?