An object with a mass of $3 k g$ $3 kg$ is hanging from an axle with a radius of $6 c m$ $6 cm$ . If the wheel attached to the axle has a radius of $9 c m$ $9 cm$ , how much force must be applied to the wheel to keep the object from falling?

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Answer 1 · 2017-09-09T06:12:10

The force is $= 19.6 N$ $=19.6N$

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The load is $L = 3 g N$ $L=3gN$

The radius of the axle is $r = 0.06 m$ $r=0.06m$

The radius of the wheel is $R = 0.09 m$ $R=0.09m$

The effort is $= F N$ $=FN$

Taking moments about the center of the axle

$F \cdot 0.09 = 3 g \cdot 0.06$ $F*0.09=3g*0.06$

$F = 3 g \cdot \frac{0.06}{0.09} = 19.6 N$ $F=3g*0.06/0.09=19.6N$

The force is $F = 19.6 N$ $F=19.6N$

An object with a mass of 3kg3 kg is hanging from an axle with a radius of 6cm6 cm. If the wheel attached to the axle has a radius of 9cm9 cm, how much force must be applied to the wheel to keep the object from falling?