An object with a mass of $2 k g$ $2 kg$ is hanging from an axle with a radius of $14 m$ $14 m$ . If the wheel attached to the axle has a radius of $21 m$ $21 m$ , how much force is needed to raise the object?

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Answer 1 · 2017-12-16T07:40:30

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

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

The radius of the axle is $r = 14 m$ $r=14m$

The radius of the wheel is $R = 21 m$ $R=21m$

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

$F \cdot 21 = 2 g \cdot 14$ $F*21=2g*14$

$F = \frac{2 g \cdot 14}{21} = 13.1 N$ $F=(2g*14)/21=13.1N$

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

An object with a mass of 2 kg2kg2 kg is hanging from an axle with a radius of 14 m14m14 m. If the wheel attached to the axle has a radius of 21 m21m21 m, how much force is needed to raise the object?