An object with a mass of $24 k g$ $24 kg$ is hanging from an axle with a radius of $4 m$ $4 m$ . If the wheel attached to the axle has a radius of $20 m$ $20 m$ , how much force must be applied to the wheel to keep the object from falling?

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Answer 1 · 2017-07-09T17:53:00

The force is $= 47 N$ $=47N$

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The load $L = (24 g) N$ $L=(24g)N$

Radius of axle $r = 4 m$ $r=4m$

Radius of wheel $R = 20 m$ $R=20m$

Taking moments about the center of the axle

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

$F \cdot 20 = 24 g \cdot 4$ $F*20=24g*4$

$F = \frac{24 \cdot g \cdot 4}{20} = 47 N$ $F=(24*g*4)/20=47N$

The force is $F = 47 N$ $F=47N$

An object with a mass of 24 kg24kg24 kg is hanging from an axle with a radius of 4 m4m4 m. If the wheel attached to the axle has a radius of 20 m20m20 m, how much force must be applied to the wheel to keep the object from falling?