An object with a mass of $6 k g$ $6 kg$ is hanging from an axle with a radius of $9 m$ $9 m$ . If the wheel attached to the axle has a radius of $6 m$ $6 m$ , how much force must be applied to the wheel to keep the object from falling?

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Answer 1 · 2017-08-16T14:04:37

The force is $= 88.2 N$ $=88.2N$

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The load is $L = 6 g N$ $L=6gN$

The radius of the axle is $r = 9 m$ $r=9m$

The radius of the wheel is $R = 6 m$ $R=6m$

The effort is $= F N$ $=FN$

Taking moments about the center of the axle

$F \cdot 6 = 6 g \cdot 9$ $F*6=6g*9$

$F = 6 g \cdot \frac{9}{6} = 88.2 N$ $F=6g*9/6=88.2N$

The force is $F = 88.2 N$ $F=88.2N$

An object with a mass of 6kg6 kg is hanging from an axle with a radius of 9m9 m. If the wheel attached to the axle has a radius of 6m6 m, how much force must be applied to the wheel to keep the object from falling?