A rod of length L0 moving with a speed v along the horizontal direction makes an angle 4 0 with respect to the x" axis.
(a) Show that the length of the rod as measured by a stationary observer is L = L0 [1 - (v2/c2) cos2 4 0]1/2.
(b) Show that the angle that the rod makes with the x axis is given by tan 4 = μ tan 4 0. These results show that the rod is both contracted and rotated.
(Take the lower end of the rod to be at the origin of the primed coordinate system.)