An object with a mass of $8 k g$ $8 kg$ is hanging from an axle with a radius of $16 m$ $16 m$ . If the wheel attached to the axle has a radius of $96 m$ $96 m$ , how much force must be applied to the wheel to keep the object from falling?

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Answer 1 · 2017-04-04T06:46:07

The force is $= 13.1 N$ $=13.1N$

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

Radius of axle $r = 16 m$ $r=16m$

Radius of wheel $R = 96 m$ $R=96m$

Taking moments about the center of the axle

$F \cdot 96 = 8 \cdot g \cdot 16$ $F*96=8*g*16$

$F = \frac{8 \cdot g \cdot 16}{96} = 13.1 N$ $F=(8*g*16)/96=13.1N$

An object with a mass of 8kg8 kg is hanging from an axle with a radius of 16m16 m. If the wheel attached to the axle has a radius of 96m96 m, how much force must be applied to the wheel to keep the object from falling?