An object with a mass of #8 kg# is hanging from an axle with a radius of #27 m#. If the wheel attached to the axle has a radius of #24 m#, how much force must be applied to the wheel to keep the object from falling?

1 Answer
Jan 10, 2018

Answer:

The force is #F=88.2N#

Explanation:

www.odicis.org

The load is #L=8gN#

The radius of the axle is #r=27m#

The radius of the wheel is #R=24m#

The effort is #=FN#

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

Taking moments about the center of the axle

#F*24=8g*27#

#F=(8g*27)/24=88.2N#

The force is #F=88.2N#