An object with a mass of $5 k g$ $5 kg$ is hanging from an axle with a radius of $18 m$ $18 m$ . If the wheel attached to the axle has a radius of $3 m$ $3 m$ , how much force must be applied to the wheel to keep the object from falling?

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Answer 1 · 2017-07-01T09:22:15

The force is $= 294 N$ $=294N$

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

Radius of axle $r = 18 m$ $r=18m$

Radius of wheel $R = 3 m$ $R=3m$

Taking moments about the center of the axle

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

$F \cdot 3 = 5 \cdot g \cdot 18$ $F*3=5*g*18$

$F = \frac{5 \cdot g \cdot 18}{3} = 294 N$ $F=(5*g*18)/3=294N$

The force is $F = 294 N$ $F=294N$

An object with a mass of 5 kg5kg5 kg is hanging from an axle with a radius of 18 m18m18 m. If the wheel attached to the axle has a radius of 3 m3m3 m, how much force must be applied to the wheel to keep the object from falling?