An object with a mass of $15 k g$ $15 kg$ is hanging from an axle with a radius of $24 m$ $24 m$ . If the wheel attached to the axle has a radius of $39 m$ $39 m$ , how much force must be applied to the wheel to keep the object from falling?

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Answer 1 · 2017-05-06T05:10:34

The force is $= 90.5 N$ $=90.5N$

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The load L=(15g)N#

Radius of axle $r = 24 m$ $r=24m$

Radius of wheel $R = 39 m$ $R=39m$

Taking moments about the center of the axle

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

$F \cdot 39 = 15 \cdot g \cdot 24$ $F*39=15*g*24$

$F = \frac{15 \cdot g \cdot 24}{39} = 90.5 N$ $F=(15*g*24)/39=90.5N$

An object with a mass of 15kg15 kg is hanging from an axle with a radius of 24m24 m. If the wheel attached to the axle has a radius of 39m39 m, how much force must be applied to the wheel to keep the object from falling?