An object with a mass of $24 k g$ $24 kg$ is hanging from an axle with a radius of $14 m$ $14 m$ . If the wheel attached to the axle has a radius of $16 m$ $16 m$ , how much force must be applied to the wheel to keep the object from falling?

Question

1263 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-05-02T20:51:35

The force is $= 205.8 N$ $=205.8N$

enter image source here

The load L=(24g)N#

Radius of axle $r = 14 m$ $r=14m$

Radius of wheel $R = 16 m$ $R=16m$

Taking moments about the center of the axle

$F \cdot R = L \cdot r$ $F*R=L*r$

$F \cdot 16 = 24 \cdot g \cdot 14$ $F*16=24*g*14$

$F = \frac{24 \cdot g \cdot 14}{16} = 205.8 N$ $F=(24*g*14)/16=205.8N$

An object with a mass of 24kg24 kg is hanging from an axle with a radius of 14m14 m. If the wheel attached to the axle has a radius of 16m16 m, how much force must be applied to the wheel to keep the object from falling?