An object with a mass of $6 k g$ $6 kg$ is hanging from an axle with a radius of $54 m$ $54 m$ . If the wheel attached to the axle has a radius of $8 m$ $8 m$ , how much force must be applied to the wheel to keep the object from falling?

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Answer 1 · 2017-05-10T05:58:59

The force is $= 396.9 N$ $=396.9N$

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The load L=(6g)N#

Radius of axle $r = 54 m$ $r=54m$

Radius of wheel $R = 8 m$ $R=8m$

Taking moments about the center of the axle

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

$F \cdot 8 = 6 \cdot g \cdot 54$ $F*8=6*g*54$

$F = \frac{6 \cdot g \cdot 54}{8} = 396.9 N$ $F=(6*g*54)/8=396.9N$

An object with a mass of 6 kg6kg6 kg is hanging from an axle with a radius of 54 m54m54 m. If the wheel attached to the axle has a radius of 8 m8m8 m, how much force must be applied to the wheel to keep the object from falling?