An object with a mass of $8 k g$ $8 kg$ is hanging from an axle with a radius of $39 m$ $39 m$ . If the wheel attached to the axle has a radius of $15 m$ $15 m$ , how much force must be applied to the wheel to keep the object from falling?

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Answer 1 · 2017-07-11T06:41:55

The force is $= 203.8 N$ $=203.8N$

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The load $L = (8 g) N$ $L=(8g)N$

Radius of axle $r = 39 m$ $r=39m$

Radius of wheel $R = 15 m$ $R=15m$

Taking moments about the center of the axle

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

$F \cdot 15 = 8 g \cdot 39$ $F*15=8g*39$

$F = \frac{8 \cdot g \cdot 39}{15} = 203.8 N$ $F=(8*g*39)/15=203.8N$

The force is $F = 203.8 N$ $F=203.8N$

An object with a mass of 8 kg8kg8 kg is hanging from an axle with a radius of 39 m39m39 m. If the wheel attached to the axle has a radius of 15 m15m15 m, how much force must be applied to the wheel to keep the object from falling?