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 $4 m$ $4 m$ , how much force must be applied to the wheel to keep the object from falling?

Question

1243 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-03-14T10:39:56

The force is $= 793.8 N$ $=793.8N$

enter image source here

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

Radius of axle $r = 54 m$ $r=54m$

Radius of wheel $R = 4 m$ $R=4m$

Taking moments about the center of the axle

$F \cdot 4 = 6 g \cdot 54$ $F*4=6g*54$

$F = \frac{6 g \cdot 54}{4} = 81 g = 793.8 N$ $F=(6g*54)/4=81g=793.8N$

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 4m4 m, how much force must be applied to the wheel to keep the object from falling?