A uniform thin rod of mass m and length L is standing vertically along the y-axis on a smooth horizontal surface, with its lower end at the origin (0,0). A slight disturbane at t = 0 causes the lower end t slip on the smooth surface along the positive x-axis, and the rod starts falling.
(i) What is the path followed by the centr of mass of the rod during its fall?
(ii) Find the equaiton to the trajectory of a point on the rod shape of the path of this point?