An object with a mass of $6 k g$ $6 kg$ is hanging from an axle with a radius of $54 m$ $54 m$ . If the wheel attached to the axle has a radius of $3 m$ $3 m$ , how much force must be applied to the wheel to keep the object from falling?

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Answer 1 · 2017-02-25T16:09:46

The force is $= 176.4 N$ $=176.4N$

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

The radius of axle is $= 54 m$ $=54m$

The radius of wheel is $= 3 m$ $=3m$

The effort is $= E k g$ $=Ekg$

Taking moments about the center of the axle

$6 g \cdot 54 = E \cdot 3$ $6g*54=E*3$

$E = \frac{54 \cdot 6 g}{3} = 108 g N$ $E=(54*6g)/3=108gN$

Force =108gN=176.4N

An object with a mass of 6kg6 kg is hanging from an axle with a radius of 54m54 m. If the wheel attached to the axle has a radius of 3m3 m, how much force must be applied to the wheel to keep the object from falling?