Two masses of 14,5 kg and 17,91 kg respectively are firmly attached to a rotating faceplate on a lathe. the 14,5 kg mass is attached at a radius of 91 mm and 17,91 kg mass at a radius of 101 mm from the centre o. the eccentricities of the 14,5 kg mass and the 17,91 kg mass are at an angle of 120° to one another. determine the distance where a 15 kg mass must be placed to balance the system