An object with a mass of $8 k g$ $8 kg$ is hanging from an axle with a radius of $15 m$ $15 m$ . If the wheel attached to the axle has a radius of $90 m$ $90 m$ , how much force must be applied to the wheel to keep the object from falling?

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Answer 1 · 2017-10-25T05:54:36

The force is $= 13.1 N$ $=13.1N$

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The load is $L = 8 g N$ $L=8gN$

The radius of the axle is $r = 15 m$ $r=15m$

The radius of the wheel is $R = 90 m$ $R=90m$

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

$F \cdot 90 = 8 g \cdot 15$ $F*90=8g*15$

$F = 8 g \cdot \frac{15}{90} = 13.1 N$ $F=8g*15/90=13.1N$

The force is $F = 13.1 N$ $F=13.1N$

An object with a mass of 8 kg8kg8 kg is hanging from an axle with a radius of 15 m15m15 m. If the wheel attached to the axle has a radius of 90 m90m90 m, how much force must be applied to the wheel to keep the object from falling?