An object with a mass of #24 kg# is hanging from an axle with a radius of #16 m#. If the wheel attached to the axle has a radius of #72 m#, how much force must be applied to the wheel to keep the object from falling?

1 Answer
Mar 9, 2018

Answer:

The force is #F=52.3N#

Explanation:

www.odicis.org

The load is #L=24gN#

The radius of the axle is #r=16m#

The radius of the wheel is #R=72m#

The effort is #=FN#

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

Taking moments about the center of the axle

#F*72=24g*16#

#F=(24g*16)/72=52.3N#

The force is #F=52.3N#