An object with a mass of $18 k g$ $18 kg$ is hanging from an axle with a radius of $15 c m$ $15 cm$ . If the wheel attached to the axle has a radius of $60 c m$ $60 cm$ , how much force must be applied to the wheel to keep the object from falling?

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Answer 1 · 2017-07-05T05:09:22

The force is $= 44.1 N$ $=44.1N$

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The load $L = (18 g) N$ $L=(18g)N$

Radius of axle $r = 0.15 m$ $r=0.15m$

Radius of wheel $R = 0.6 m$ $R=0.6m$

Taking moments about the center of the axle

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

$F \cdot 0.6 = 18 \cdot g \cdot 0.15$ $F*0.6=18*g*0.15$

$F = \frac{18 \cdot g \cdot 0.15}{0.6} = 44.1 N$ $F=(18*g*0.15)/0.6=44.1N$

The force is $F = 44.1 N$ $F=44.1N$

An object with a mass of 18kg18 kg is hanging from an axle with a radius of 15cm15 cm. If the wheel attached to the axle has a radius of 60cm60 cm, how much force must be applied to the wheel to keep the object from falling?