An object with a mass of $8 k g$ $8 kg$ is hanging from an axle with a radius of $7 m$ $7 m$ . If the wheel attached to the axle has a radius of $63 m$ $63 m$ , how much force must be applied to the wheel to keep the object from falling?

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Answer 1 · 2017-05-07T06:31:39

The force is $= 8.71 N$ $=8.71N$

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The load L=(8g)N#

Radius of axle $r = 7 m$ $r=7m$

Radius of wheel $R = 63 m$ $R=63m$

Taking moments about the center of the axle

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

$F \cdot 63 = 8 \cdot g \cdot 7$ $F*63=8*g*7$

$F = \frac{8 \cdot g \cdot 7}{63} = 8.71 N$ $F=(8*g*7)/63=8.71N$

An object with a mass of 8kg8 kg is hanging from an axle with a radius of 7m7 m. If the wheel attached to the axle has a radius of 63m63 m, how much force must be applied to the wheel to keep the object from falling?