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 $2 c m$ $2 cm$ , how much force must be applied to the wheel to keep the object from falling?

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Answer 1 · 2017-08-29T06:04:30

The force is $= 88.2 N$ $=88.2N$

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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 $R = 0.02 m$ $R=0.02m$

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

Taking moments about the center of the axle

$F \cdot 0.02 = 3 g \cdot 0.06$ $F*0.02=3g*0.06$

$F = 3 g \cdot \frac{0.06}{0.02} = 88.2 N$ $F=3g*0.06/0.02=88.2N$

The force is $F = 88.2 N$ $F=88.2N$

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 2cm2 cm, how much force must be applied to the wheel to keep the object from falling?