An object with a mass of $8 k g$ $8 kg$ is hanging from an axle with a radius of $15 m$ $15 m$ . If the wheel attached to the axle has a radius of $95 m$ $95 m$ , how much force must be applied to the wheel to keep the object from falling?

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Answer 1 · 2017-05-18T04:39:39

The force is $= 12.38 N$ $=12.38N$

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The load L=(8g)N#

Radius of axle $r = 15 m$ $r=15m$

Radius of wheel $R = 95 m$ $R=95m$

Taking moments about the center of the axle

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

$F \cdot 95 = 8 \cdot g \cdot 15$ $F*95=8*g*15$

$F = \frac{120 \cdot g}{95} = 12.38 N$ $F=(120*g)/95=12.38N$

An object with a mass of 8kg8 kg is hanging from an axle with a radius of 15m15 m. If the wheel attached to the axle has a radius of 95m95 m, how much force must be applied to the wheel to keep the object from falling?