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 $90 c m$ $90 cm$ , how much force must be applied to the wheel to keep the object from falling?

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Answer 1 · 2017-12-01T17:44:42

The force is $F = 13.1 N$ $F=13.1N$

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The load is $L = 8 g N$ $L=8gN$

The radius of the axle is $r = 0.15 m$ $r=0.15m$

The radius of the wheel is $R = 0.90 m$ $R=0.90m$

The effort is $= F N$ $=FN$

The acceleration due to gravity is $g = 9.8 m s^{- 2}$ $g=9.8ms^-2$

Taking moments about the center of the axle

$F \cdot 0.90 = 8 g \cdot 0.15$ $F*0.90=8g*0.15$

$F = 8 g \cdot \frac{0.15}{0.90} = 13.1 N$ $F=8g*0.15/0.90=13.1N$

The force is $F = 13.1 N$ $F=13.1N$

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 90cm90 cm, how much force must be applied to the wheel to keep the object from falling?