An object with a mass of $15 k g$ $15 kg$ is hanging from an axle with a radius of $16 m$ $16 m$ . If the wheel attached to the axle has a radius of $54 m$ $54 m$ , how much force must be applied to the wheel to keep the object from falling?

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Answer 1 · 2018-05-10T12:21:28

The force is $F = 43.56 N$ $F=43.56N$

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The load is $L = 15 g N$ $L=15gN$

The radius of the axle is $r = 16 m$ $r=16m$

The radius of the wheel is $R = 54 m$ $R=54m$

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

$F \cdot 54 = 15 g \cdot 16$ $F*54=15g*16$

$F = \frac{15 g \cdot 16}{54} = 43.56 N$ $F=(15g*16)/54=43.56N$

The force is $F = 43.56 N$ $F=43.56N$

An object with a mass of 15kg15 kg is hanging from an axle with a radius of 16m16 m. If the wheel attached to the axle has a radius of 54m54 m, how much force must be applied to the wheel to keep the object from falling?