An object with a mass of $5 k g$ $5 kg$ is hanging from an axle with a radius of $24 m$ $24 m$ . If the wheel attached to the axle has a radius of $8 m$ $8 m$ , how much force must be applied to the wheel to keep the object from falling?

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Answer 1 · 2017-12-02T06:52:49

The force is $F = 52 N$ $F=52N$

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

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

The radius of the wheel is $R = 8 m$ $R=8m$

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

$F \cdot 8 = 5 g \cdot 24$ $F*8=5g*24$

$F = 5 g \cdot \frac{24}{8} = 52 N$ $F=5g*24/8=52N$

The force is $F = 52 N$ $F=52N$

An object with a mass of 5kg5 kg is hanging from an axle with a radius of 24m24 m. If the wheel attached to the axle has a radius of 8m8 m, how much force must be applied to the wheel to keep the object from falling?