An object with a mass of $8 k g$ $8 kg$ is hanging from an axle with a radius of $15 c m$ $15 cm$ . If the wheel attached to the axle has a radius of $60 c m$ $60 cm$ , how much force must be applied to the wheel to keep the object from falling?

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Answer 1 · 2017-05-10T05:56:16

The force is $= 19.6 N$ $=19.6N$

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The load L=(8g)N#

Radius of axle $r = 0.15 m$ $r=0.15m$

Radius of wheel $R = 0.60 m$ $R=0.60m$

Taking moments about the center of the axle

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

$F \cdot 0.60 = 8 \cdot g \cdot 0.15$ $F*0.60=8*g*0.15$

$F = \frac{8 \cdot g \cdot 0.15}{0.16} = 19.6 N$ $F=(8*g*0.15)/0.16=19.6N$

An object with a mass of 8kg8 kg is hanging from an axle with a radius of 15cm15 cm. If the wheel attached to the axle has a radius of 60cm60 cm, how much force must be applied to the wheel to keep the object from falling?