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 $9 m$ $9 m$ , how much force must be applied to the wheel to keep the object from falling?

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Answer 1 · 2017-06-18T09:46:39

The force is $= 1.63 N$ $=1.63N$

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

Radius of axle $r = 0.3 m$ $r=0.3m$

Radius of wheel $R = 9 m$ $R=9m$

Taking moments about the center of the axle

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

$F \cdot 9 = 5 \cdot g \cdot 0.3$ $F*9=5*g*0.3$

$F = \frac{5 \cdot g \cdot 0.3}{9} = 1.63 N$ $F=(5*g*0.3)/9=1.63N$

The force is $F = 1.63 N$ $F=1.63N$

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 9 m9m9 m, how much force must be applied to the wheel to keep the object from falling?