An object with a mass of $5 k g$ $5 kg$ is hanging from an axle with a radius of $30 m$ $30 m$ . 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 · 2017-07-14T16:02:55

The force is $= 367.5 N$ $=367.5N$

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The load $L = (5 g) N$ $L=(5g)N$

Radius of axle $r = 30 m$ $r=30m$

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

Taking moments about the center of the axle

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

$F \cdot 4 = 5 g \cdot 30$ $F*4=5g*30$

$F = \frac{5 \cdot g \cdot 30}{4} = 367.5 N$ $F=(5*g*30)/4=367.5N$

The force is $F = 367.5 N$ $F=367.5N$

An object with a mass of 5 kg5kg5 kg is hanging from an axle with a radius of 30 m30m30 m. If the wheel attached to the axle has a radius of 4 m4m4 m, how much force must be applied to the wheel to keep the object from falling?