A mass of 2 kg in suspended by a spring passing over the pulley as shown in Figure. The system is supported horizontally by a spring of stiffness 500N/m. Given mass of pully, M = 15kg, radius, R= 100 mm and existence of spring from center of gravity, x =50mm. (i) Determine natural frequency of vibration of the system. (ii) Determine frequency of vibration of the system. (iii) Determine period of vibration of the system.