An object with a mass of $5 k g$ $5 kg$ is hanging from an axle with a radius of $12 m$ $12 m$ . If the wheel attached to the axle has a radius of $16 m$ $16 m$ , how much force must be applied to the wheel to keep the object from falling?

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Answer 1 · 2017-08-12T05:28:41

The force is $= 36.75 N$ $=36.75N$

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

The radius of the axle is $r = 12 m$ $r=12m$

The radius of the wheel is $R = 16 m$ $R=16m$

The effort is $= (F) N$ $=(F)N$

Taking moments about the center of the axle

$F \cdot 16 = 5 g \cdot 12$ $F*16=5g*12$

$F = 5 g \cdot \frac{12}{16} = 36.75 N$ $F=5g*12/16=36.75N$

An object with a mass of 5kg5 kg is hanging from an axle with a radius of 12m12 m. If the wheel attached to the axle has a radius of 16m16 m, how much force must be applied to the wheel to keep the object from falling?