An object with a mass of $7 k g$ $7 kg$ is hanging from an axle with a radius of $33 m$ $33 m$ . If the wheel attached to the axle has a radius of $60 m$ $60 m$ , how much force must be applied to the wheel to keep the object from falling?

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Answer 1 · 2017-10-20T06:12:09

The force is $= 37.7 N$ $=37.7N$

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

The radius of the axle is $r = 33 m$ $r=33m$

The radius of the wheel is $R = 60 m$ $R=60m$

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

$F \cdot 60 = 7 g \cdot 33$ $F*60=7g*33$

$F = 7 g \cdot \frac{33}{0} = 37.7 N$ $F=7g*33/0=37.7N$

The force is $F = 37.7 N$ $F=37.7N$

An object with a mass of 7kg7 kg is hanging from an axle with a radius of 33m33 m. If the wheel attached to the axle has a radius of 60m60 m, how much force must be applied to the wheel to keep the object from falling?