A Non-Uniform 2

Multiple Choice

A non-uniform 2.0-kg rod is 2.0 m long. The rod is mounted to rotate freely about a horizontal axis perpendicular to the rod that passes through one end of the rod. The moment of inertia of the rod about this axis is 4.0 kg.m². The centre of mass of the rod is 1.2 m from the axis. If the rod is released from rest in the horizontal position, what is its angular speed as it swings through the vertical position?

A) 3.4 rad/s
B) 4.4 rad/s
C) 4.3 rad/s
D) 5.8 rad/s
E) 6.8 rad/s