An object with a mass of $3 k g$ $3 kg$ is hanging from an axle with a radius of $12 c m$ $12 cm$ . If the wheel attached to the axle has a radius of $32 c m$ $32 cm$ , how much force must be applied to the wheel to keep the object from falling?

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Answer 1 · 2018-07-06T05:40:26

The force is $F = 11.03 N$ $F=11.03N$

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The load is $L = 3 g N$ $L=3gN$

The radius of the axle is $r = 0.12 m$ $r=0.12m$

The radius of the wheel is $R = 0.32 m$ $R=0.32m$

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

$F \cdot 0.32 = 3 g \cdot 0.12$ $F*0.32=3g*0.12$

$F = \frac{3 g \cdot 0.12}{0.32} = 11.03 N$ $F=(3g*0.12)/0.32=11.03N$

The force is $F = 11.03 N$ $F=11.03N$

An object with a mass of 3kg3 kg is hanging from an axle with a radius of 12cm12 cm. If the wheel attached to the axle has a radius of 32cm32 cm, how much force must be applied to the wheel to keep the object from falling?