An object with a mass of $5 k g$ $5 kg$ is hanging from an axle with a radius of $16 m$ $16 m$ . 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 · 2017-11-24T08:06:29

The force is $= 11.7 N$ $=11.7N$

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

The radius of the axle is $r = 16 m$ $r=16m$

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

$F \cdot 6 = 5 g \cdot 16$ $F*6=5g*16$

$F = 5 g \cdot \frac{16}{6} = 11.7 N$ $F=5g*16/6=11.7N$

The force is $F = 11.7 N$ $F=11.7N$

An object with a mass of 5 kg5kg5 kg is hanging from an axle with a radius of 16 m16m16 m. If the wheel attached to the axle has a radius of 6 m6m6 m, how much force must be applied to the wheel to keep the object from falling?