Three Solid, Uniform, Cylindrical Flywheels, Each of Mass 65

Multiple Choice

Three solid, uniform, cylindrical flywheels, each of mass 65.0 kg and radius 1.47 m rotate independently around a common axis. Two of the flywheels rotate in one direction at 3.83 rad/s; the other rotates in the opposite direction at 3.42 rad/s. Calculate the magnitude of the net angular momentum of the system.

A) 298 kg∙m²/s
B) 778 kg∙m²/s
C) 257 kg∙m²/s
D) 222 kg∙m²/s