An object with a mass of $2 k g$ $2 kg$ is hanging from an axle with a radius of $2 m$ $2 m$ . If the wheel attached to the axle has a radius of $25 m$ $25 m$ , how much force must be applied to the wheel to keep the object from falling?

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Answer 1 · 2018-01-11T18:06:38

The force is $F = 1.6 N$ $F=1.6N$

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The load is $L = 2 g N$ $L=2gN$

The radius of the axle is $r = 2 m$ $r=2m$

The radius of the wheel is $R = 25 m$ $R=25m$

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

$F \cdot 25 = 2 g \cdot 2$ $F*25=2g*2$

$F = \frac{2 g \cdot 2}{25} = 1.6 N$ $F=(2g*2)/25=1.6N$

The force is $F = 1.6 N$ $F=1.6N$

An object with a mass of 2kg2 kg is hanging from an axle with a radius of 2m2 m. If the wheel attached to the axle has a radius of 25m25 m, how much force must be applied to the wheel to keep the object from falling?