An object with a mass of $8 k g$ $8 kg$ is hanging from an axle with a radius of $49 m$ $49 m$ . If the wheel attached to the axle has a radius of $21 m$ $21 m$ , how much force must be applied to the wheel to keep the object from falling?

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Answer 1 · 2017-06-27T06:26:06

The force is $= 182.9 N$ $=182.9N$

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The load $L = (8 g) N$ $L=(8g)N$

Radius of axle $r = 49 m$ $r=49m$

Radius of wheel $R = 21 m$ $R=21m$

Taking moments about the center of the axle

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

$F \cdot 21 = 8 \cdot g \cdot 49$ $F*21=8*g*49$

$F = \frac{8 \cdot g \cdot 49}{21} = 182.9 N$ $F=(8*g*49)/21=182.9N$

The force is $F = 182.9 N$ $F=182.9N$

An object with a mass of 8kg8 kg is hanging from an axle with a radius of 49m49 m. If the wheel attached to the axle has a radius of 21m21 m, how much force must be applied to the wheel to keep the object from falling?