An object with a mass of $15 k g$ $15 kg$ is hanging from an axle with a radius of $24 m$ $24 m$ . If the wheel attached to the axle has a radius of $48 m$ $48 m$ , how much force must be applied to the wheel to keep the object from falling?

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Answer 1 · 2017-11-01T07:10:23

The force is $F = 73.5 N$ $F=73.5N$

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The load is $L = 15 g N$ $L=15gN$

The radius of the axle is $r = 24 m$ $r=24m$

The radius of the wheel is $R = 48 m$ $R=48m$

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

$F \cdot 48 = 15 g \cdot 24$ $F*48=15g*24$

$F = 15 g \cdot \frac{24}{48} = 73.5 N$ $F=15g*24/48=73.5N$

The force is $F = 73.5 N$ $F=73.5N$

An object with a mass of 15kg15 kg is hanging from an axle with a radius of 24m24 m. If the wheel attached to the axle has a radius of 48m48 m, how much force must be applied to the wheel to keep the object from falling?