An object with a mass of #24 kg# is hanging from an axle with a radius of #5 m#. If the wheel attached to the axle has a radius of #12 m#, how much force must be applied to the wheel to keep the object from falling?

1 Answer
Dec 12, 2017

Answer:

The force is #=98N#

Explanation:

enter image source here

The load is #L=24gN#

The radius of the axle is #r=5m#

The radius of the wheel is #R=12m#

The effort is #=FN#

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

Taking moments about the center of the axle

#F*12=24g*5#

#F=(24g*5)/12=N#

The force is #F=98N#