An object with a mass of $7 k g$ $7 kg$ is hanging from an axle with a radius of $36 m$ $36 m$ . If the wheel attached to the axle has a radius of $69 m$ $69 m$ , how much force must be applied to the wheel to keep the object from falling?

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Answer 1 · 2017-10-07T13:06:48

The force is $= 35.8 N$ $=35.8N$

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The load is $L = 7 g N$ $L=7gN$

The radius of the axle is $r = 36 m$ $r=36m$

The radius of the wheel is $R = 69 m$ $R=69m$

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

$F \cdot 69 = 7 g \cdot 36$ $F*69=7g*36$

$F = 7 g \cdot \frac{36}{69} = 35.8 N$ $F=7g*36/69=35.8N$

The force is $F = 35.8 N$ $F=35.8N$

An object with a mass of 7kg7 kg is hanging from an axle with a radius of 36m36 m. If the wheel attached to the axle has a radius of 69m69 m, how much force must be applied to the wheel to keep the object from falling?