An object with a mass of $5 k g$ $5 kg$ is hanging from an axle with a radius of $12 m$ $12 m$ . If the wheel attached to the axle has a radius of $4 m$ $4 m$ , how much force must be applied to the wheel to keep the object from falling?

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Answer 1 · 2017-05-06T09:51:35

The force is $= 147 N$ $=147N$

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The load L=(5g)N#

Radius of axle $r = 12 m$ $r=12m$

Radius of wheel $R = 4 m$ $R=4m$

Taking moments about the center of the axle

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

$F \cdot 4 = 5 \cdot g \cdot 12$ $F*4=5*g*12$

$F = \frac{5 \cdot g \cdot 12}{4} = 147 N$ $F=(5*g*12)/4=147N$

An object with a mass of 5kg5 kg is hanging from an axle with a radius of 12m12 m. If the wheel attached to the axle has a radius of 4m4 m, how much force must be applied to the wheel to keep the object from falling?