An object with a mass of $7 k g$ $7 kg$ is hanging from an axle with a radius of $6 m$ $6 m$ . If the wheel attached to the axle has a radius of $31 m$ $31 m$ , how much force must be applied to the wheel to keep the object from falling?

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Answer 1 · 2017-05-03T08:51:52

The force is $= 13.3 N$ $=13.3N$

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The load L=(7g)N#

Radius of axle $r = 6 m$ $r=6m$

Radius of wheel $R = 31 m$ $R=31m$

Taking moments about the center of the axle

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

$F \cdot 31 = 7 \cdot g \cdot 6$ $F*31=7*g*6$

$F = \frac{7 \cdot g \cdot 6}{31} = 13.3 N$ $F=(7*g*6)/31=13.3N$

An object with a mass of 7kg7 kg is hanging from an axle with a radius of 6m6 m. If the wheel attached to the axle has a radius of 31m31 m, how much force must be applied to the wheel to keep the object from falling?