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

Question

1398 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-10-30T05:59:43

The force is $F=235.2N$

enter image source here

The load is $L=15gN$

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

The radius of the wheel is $R=15m$

The effort is $=FN$

The acceleration due to gravity is $g=9.8ms^-2$

Taking moments about the center of the axle

$F*15=15g*24$

$F=15g*24/15=235.2N$

The force is $F=235.2N$

An object with a mass of 15 kg15 kg is hanging from an axle with a radius of 24 m24 m. If the wheel attached to the axle has a radius of 15 m15 m, how much force must be applied to the wheel to keep the object from falling?