Four point masses are fastened to the corners of a frame of negligible mass lying in the xy plane. Two of the masses lie along the x axis at positions x = + a and x = - a and are both of the same mass M. The other two masses lie along the y axis at positions y = +b and y = ¡b and are both of the same mass m.
A) If the rotation of the system occurs about the y axis with an angular velocity w find the moment of inertia about the y axis and the rotational kinetic energy about this axis.
B) Now suppose the system rotates in the xy plane about an axis through the origin (the z axis) with angular velocity w. Calculate the moment of inertia about the z axis and the rotational kinetic energy about this axis.