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 $54 m$ $54 m$ , how much force must be applied to the wheel to keep the object from falling?

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Answer 1 · 2017-03-20T06:56:47

The force is $= 65.3 N$ $=65.3N$

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The load $= (15 g) N$ $=(15g)N$

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

Radius of wheel $R = 54 m$ $R=54m$

Taking moments about the center of the axle

$F \cdot 54 = 15 \cdot g \cdot 24$ $F*54=15*g*24$

$F = \frac{15 \cdot g \cdot 24}{54} = 6.67 g = 65.3 N$ $F=(15*g*24)/54=6.67g=65.3N$

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 54m54 m, how much force must be applied to the wheel to keep the object from falling?