3) A crane of mass Me lifts a spherical object of mass M. The boom of the crane has a mass of M, and a length Lb. Assume the centre of mass crane is midway between the wheels which are separated by a distance Ly. Calculate horizontal position of the centre of mass of the combined system relative to wheel at the end of the boom as a function of the angle of the boom, 0. Determine the maximum angle max that boom can be lowered without the crane tipping, assuming Le = 2.5m, Lb = 8m, Me = 10, 000 kg, Mo = 500 kg, and M. = 2, 000 kg. D