An object with a mass of $4 k g$ $4 kg$ is hanging from an axle with a radius of $5 m$ $5 m$ . If the wheel attached to the axle has a radius of $35 m$ $35 m$ , how much force is needed to raise the object?

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Answer 1 · 2018-06-28T11:49:12

The force is $F = 5.6 N$ $F=5.6N$

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The load is $L = 4 g N$ $L=4gN$

The radius of the axle is $r = 5 m$ $r=5m$

The radius of the wheel is $R = 35 m$ $R=35m$

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

$F \cdot 35 = 4 g \cdot 5$ $F*35=4g*5$

$F = \frac{4 g \cdot 5}{35} = 5.6 N$ $F=(4g*5)/35=5.6N$

The force is $F = 5.6 N$ $F=5.6N$

An object with a mass of 4 kg4kg4 kg is hanging from an axle with a radius of 5 m5m5 m. If the wheel attached to the axle has a radius of 35 m35m35 m, how much force is needed to raise the object?