An object with a mass of $5 k g$ $5 kg$ is hanging from an axle with a radius of $12 m$ $12 m$ . If the wheel attached to the axle has a radius of $42 m$ $42 m$ , how much force must be applied to the wheel to keep the object from falling?

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Answer 1 · 2017-02-25T16:56:58

The force is $= 14 N$ $=14N$

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The load is $= 5 g N$ $=5gN$

The radius of axle is $= 12 m$ $=12m$

The radius of wheel is $= 42 m$ $=42m$

The effort is $= E N$ $=EN$

Taking moments about the center of the axle

$5 g \cdot 12 = E \cdot 42$ $5g*12=E*42$

$E = \frac{12 \cdot 5 g}{42} = 1.43 g N$ $E=(12*5g)/42=1.43gN$

Force =1.43gN=14N

An object with a mass of 5 kg5kg5 kg is hanging from an axle with a radius of 12 m12m12 m. If the wheel attached to the axle has a radius of 42 m42m42 m, how much force must be applied to the wheel to keep the object from falling?