An object with a mass of $3 k g$ $3 kg$ is hanging from an axle with a radius of $16 c m$ $16 cm$ . If the wheel attached to the axle has a radius of $2 c m$ $2 cm$ , how much force must be applied to the wheel to keep the object from falling?

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Answer 1 · 2018-06-07T06:28:48

The force is $F = 235.2 N$ $F=235.2N$

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The load is $L = 3 g N$ $L=3gN$

The radius of the axle is $r = 0.16 m$ $r=0.16m$

The radius of the wheel is $R = 0.02 m$ $R=0.02m$

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

$F \cdot 0.02 = 3 g \cdot 0.16$ $F*0.02=3g*0.16$

$F = \frac{3 g \cdot 0.16}{0.02} = 235.2 N$ $F=(3g*0.16)/0.02=235.2N$

The force is $F = 235.2 N$ $F=235.2N$

An object with a mass of 3kg3 kg is hanging from an axle with a radius of 16cm16 cm. If the wheel attached to the axle has a radius of 2cm2 cm, how much force must be applied to the wheel to keep the object from falling?