An object with a mass of $2 k g$ $2 kg$ is hanging from an axle with a radius of $2 m$ $2 m$ . If the wheel attached to the axle has a radius of $3 m$ $3 m$ , how much force must be applied to the wheel to keep the object from falling?

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Answer 1 · 2017-04-12T08:24:03

The force is $= 13.07 N$ $=13.07N$

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The load $= (2 g) N$ $=(2g)N$

Radius of axle $r = 2 m$ $r=2m$

Radius of wheel $R = 3$ $R=3$

Taking moments about the center of the axle

$F \cdot 3 = 2 \cdot g \cdot 2$ $F*3=2*g*2$

$F = \frac{2 \cdot g \cdot 2}{3} = 13.07 N$ $F=(2*g*2)/3=13.07N$

An object with a mass of 2kg2 kg is hanging from an axle with a radius of 2m2 m. If the wheel attached to the axle has a radius of 3m3 m, how much force must be applied to the wheel to keep the object from falling?