An object with a mass of $15 k g$ $15 kg$ is hanging from an axle with a radius of $24 m$ $24 m$ . If the wheel attached to the axle has a radius of $9 m$ $9 m$ , how much force must be applied to the wheel to keep the object from falling?

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Answer 1 · 2018-01-28T22:56:19

The force is $= 392 N$ $=392N$

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The load is $L = 15 g N$ $L=15gN$

The radius of the axle is $r = 24 m$ $r=24m$

The radius of the wheel is $R = 9 m$ $R=9m$

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

$F \cdot 9 = 15 g \cdot 24$ $F*9=15g*24$

$F = \frac{15 g \cdot 24}{9} = 392 N$ $F=(15g*24)/9=392N$

The force is $F = 392 N$ $F=392N$

An object with a mass of 15 kg15kg15 kg is hanging from an axle with a radius of 24 m24m24 m. If the wheel attached to the axle has a radius of 9 m9m9 m, how much force must be applied to the wheel to keep the object from falling?