An object with a mass of $8$ $8$ $k g$ $kg$ is hanging from an axle with a radius of $12$ $12$ $m$ $m$ . If the wheel attached to the axle has a radius of $63$ $63$ $m$ $m$ , how much force must be applied to the wheel to keep the object from falling?

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Answer 1 · 2017-06-11T07:39:45

The force is $= 14.93 N$ $=14.93N$

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The load L=(8g)N#

Radius of axle $r = 12 m$ $r=12m$

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

Taking moments about the center of the axle

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

$F \cdot 63 = 8 \cdot g \cdot 12$ $F*63=8*g*12$

$F = \frac{8 \cdot g \cdot 12}{63} = 14.93 N$ $F=(8*g*12)/63=14.93N$

The force is $= 14.93 N$ $=14.93N$

An object with a mass of 88 kgkg is hanging from an axle with a radius of 1212 mm. If the wheel attached to the axle has a radius of 6363 mm, how much force must be applied to the wheel to keep the object from falling?