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 $6 m$ $6 m$ , how much force must be applied to the wheel to keep the object from falling?

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Answer 1 · 2018-05-13T08:27:08

The force is $F = 147 N$ $F=147N$

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The load is $L = 5 g N$ $L=5gN$

The radius of the axle is $r = 18 m$ $r=18m$

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

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

The acceleration due to gravity is $g = 9.8 m s^{- 2}$ $g=9.8ms^-2$

Taking moments about the center of the axle

$F \cdot 6 = 5 g \cdot 18$ $F*6=5g*18$

$F = \frac{5 g \cdot 18}{6} = 147 N$ $F=(5g*18)/6=147N$

The force is $F = 147 N$ $F=147N$

An object with a mass of 5kg5 kg is hanging from an axle with a radius of 18m18 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?