An object with a mass of $1 k g$ $1 kg$ is hanging from an axle with a radius of $16 m$ $16 m$ . If the wheel attached to the axle has a radius of $88 m$ $88 m$ , how much force must be applied to the wheel to keep the object from falling?

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Answer 1 · 2017-04-06T06:23:17

The force is $= 1.78 N$ $=1.78N$

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The load $= (1 g) N$ $=(1g)N$

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

Radius of wheel $R = 88 m$ $R=88m$

Taking moments about the center of the axle

$F \cdot 88 = 1 \cdot g \cdot 16$ $F*88=1*g*16$

$F = \frac{1 \cdot g \cdot 16}{88} = 1.78 N$ $F=(1*g*16)/88=1.78N$

An object with a mass of 1kg1 kg is hanging from an axle with a radius of 16m16 m. If the wheel attached to the axle has a radius of 88m88 m, how much force must be applied to the wheel to keep the object from falling?