A uniform thin rod of length 2.0m and mass 3.0kg is capable of rotating in a horizontal plane about a vertical axis passing through one end and perpendicular to its length.
a. (i) Show that the moment of inertia of the rod about the given axis is 31ML2.
b. (ii) The rod is set into rotation about this axis with an angular speed of 10rad s−1. Calculate its rotational kinetic energy.
c. (iii) If the rod were instead rotated about a parallel axis through its centre and perpendicular to its length, what angular speed would give it the same rotational kinetic energy as in part (ii)?