An object with a mass of $2$ $2$ $k g$ $kg$ is hanging from an axle with a radius of $4$ $4$ $m$ $m$ . If the wheel attached to the axle has a radius of $2$ $2$ $m$ $m$ , how much force must be applied to the wheel to keep the object from falling?

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Answer 1 · 2017-11-09T12:55:28

The force is $= 39.2 N$ $=39.2N$

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

The radius of the axle is $r = 4 m$ $r=4m$

The radius of the wheel is $R = 2 m$ $R=2m$

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

$F \cdot 2 = 2 g \cdot 4$ $F*2=2g*4$

$F = 2 g \cdot \frac{4}{2} = 39.2 N$ $F=2g*4/2=39.2N$

The force is $F = 39.2 N$ $F=39.2N$

An object with a mass of 22 kgkg is hanging from an axle with a radius of 44 mm. If the wheel attached to the axle has a radius of 22 mm, how much force must be applied to the wheel to keep the object from falling?