An object with a mass of $6 k g$ $6 kg$ is hanging from an axle with a radius of $7 m$ $7 m$ . If the wheel attached to the axle has a radius of $28 m$ $28 m$ , how much force must be applied to the wheel to keep the object from falling?

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Answer 1 · 2017-09-21T06:27:05

The force is $= 14.7 N$ $=14.7N$

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The load is $L = 6 g N$ $L=6gN$

The radius of the axle is $r = 7 m$ $r=7m$

The radius of the wheel is $R = 28 m$ $R=28m$

The effort is $= F N$ $=FN$

Taking moments about the center of the axle

$F \cdot 28 = 6 g \cdot 7$ $F*28=6g*7$

Plugging in the value of $g = 9.8 m s^{- 2}$ $g=9.8ms^-2$

$F = 6 g \cdot \frac{7}{28} = 14.7 N$ $F=6g*7/28=14.7N$

The force is $F = 14.7 N$ $F=14.7N$

An object with a mass of 6kg6 kg is hanging from an axle with a radius of 7m7 m. If the wheel attached to the axle has a radius of 28m28 m, how much force must be applied to the wheel to keep the object from falling?