The three small spheres, each of mass Im are rigidly mounted to the horizontal shaft which rotates with the angular velocity w = 30 radians per second as shown. Neglect the radius of each sphere compared with the other dimensions. (Total 10 marks) a) Write down the general expression for L relating to moment of inertia tensor and w in matrix/tensor form. (1) b) Write the exact values of w along each of the three. axes.(1) c) Calculate all the relevant moment of inertia elements of the tensor (6) d) Calculate the angular momentum vector Lo, about the fixed origin of coordinates. (2)