An object with a mass of $2 k g$ $2 kg$ is hanging from an axle with a radius of $3 m$ $3 m$ . If the wheel attached to the axle has a radius of $12 m$ $12 m$ , how much force must be applied to the wheel to keep the object from falling?

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Answer 1 · 2017-07-16T19:32:05

The force is $= 4.9 N$ $=4.9N$

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

Radius of axle $r = 3 m$ $r=3m$

Radius of wheel $R = 12 m$ $R=12m$

Taking moments about the center of the axle

$F \cdot R = L \cdot r$ $F*R=L*r$

$F \cdot 12 = 2 g \cdot 3$ $F*12=2g*3$

$F = \frac{2 \cdot g \cdot 3}{12} = 4.9 N$ $F=(2*g*3)/12=4.9N$

The force is $F = 4.9 N$ $F=4.9N$

An object with a mass of 2kg2 kg is hanging from an axle with a radius of 3m3 m. If the wheel attached to the axle has a radius of 12m12 m, how much force must be applied to the wheel to keep the object from falling?