An object with a mass of $6 k g$ $6 kg$ is hanging from an axle with a radius of $5 m$ $5 m$ . If the wheel attached to the axle has a radius of $6 m$ $6 m$ , how much force must be applied to the wheel to keep the object from falling?

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Answer 1 · 2017-06-08T19:27:35

The force is $= 49 N$ $=49N$

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The load L=(6g)N#

Radius of axle $r = 5 m$ $r=5m$

Radius of wheel $R = 6 m$ $R=6m$

Taking moments about the center of the axle

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

$F \cdot 6 = 6 \cdot g \cdot 5$ $F*6=6*g*5$

$F = \frac{6 \cdot g \cdot 5}{6} = 49 N$ $F=(6*g*5)/6=49N$

The force is $= 49 N$ $=49N$

An object with a mass of 6kg6 kg is hanging from an axle with a radius of 5m5 m. If the wheel attached to the axle has a radius of 6m6 m, how much force must be applied to the wheel to keep the object from falling?