An object with a mass of #3 kg# is hanging from an axle with a radius of #12 cm#. If the wheel attached to the axle has a radius of #32 cm#, how much force must be applied to the wheel to keep the object from falling?

1 Answer
Jul 6, 2018

The force is #F=11.03N#

Explanation:

www.odicis.org

The load is #L=3gN#

The radius of the axle is #r=0.12m#

The radius of the wheel is #R=0.32m#

The effort is #=FN#

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

Taking moments about the center of the axle

#F*0.32=3g*0.12#

#F=(3g*0.12)/0.32=11.03N#

The force is #F=11.03N#