An object with a mass of $2 k g$ $2 kg$ is hanging from an axle with a radius of $3 m$ $3 m$ . If the wheel attached to the axle has a radius of $14 m$ $14 m$ , how much force is needed to raise the object?

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Answer 1 · 2017-11-10T06:19:53

The force is $= 4.2 N$ $=4.2N$

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

The radius of the axle is $r = 3 m$ $r=3m$

The radius of the wheel is $R = 14 m$ $R=14m$

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

$F \cdot 14 = 2 g \cdot 3$ $F*14=2g*3$

$F = 2 g \cdot \frac{3}{14} = 4.2 N$ $F=2g*3/14=4.2N$

The force is $F = 4.2 N$ $F=4.2N$

An object with a mass of 2 kg2kg2 kg is hanging from an axle with a radius of 3 m3m3 m. If the wheel attached to the axle has a radius of 14 m14m14 m, how much force is needed to raise the object?