An object with a mass of $3 k g$ $3 kg$ is hanging from an axle with a radius of $9 c m$ $9 cm$ . If the wheel attached to the axle has a radius of $27 c m$ $27 cm$ , how much force must be applied to the wheel to keep the object from falling?

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Answer 1 · 2017-07-23T06:00:35

The force is $= 9.8 N$ $=9.8N$

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The load $L = (3 g) N$ $L=(3g)N$

Radius of axle $r = 0.09 m$ $r=0.09m$

Radius of wheel $R = 0.27 m$ $R=0.27m$

Taking moments about the center of the axle

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

$F \cdot 0.27 = 3 g \cdot 0.09$ $F*0.27=3g*0.09$

$F = \frac{3 \cdot g \cdot 0.09}{0.27} = 9.8 N$ $F=(3*g*0.09)/0.27=9.8N$

The force is $F = 9.8 N$ $F=9.8N$

An object with a mass of 3kg3 kg is hanging from an axle with a radius of 9cm9 cm. If the wheel attached to the axle has a radius of 27cm27 cm, how much force must be applied to the wheel to keep the object from falling?