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 $14 m$ $14 m$ , how much force must be applied to the wheel to keep the object from falling?

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Answer 1 · 2017-07-09T07:58:01

The force is $= 11.2 N$ $=11.2N$

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

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

Radius of wheel $R = 14 m$ $R=14m$

Taking moments about the center of the axle

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

$F \cdot 14 = 1 \cdot g \cdot 16$ $F*14=1*g*16$

$F = \frac{1 \cdot g \cdot 16}{14} = 11.2 N$ $F=(1*g*16)/14=11.2N$

The force is $F = 11.2 N$ $F=11.2N$

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 14m14 m, how much force must be applied to the wheel to keep the object from falling?