A lift cage has a mass of 1200 kg and is suspended from a cable made of steel that has a Young's Modulus of 200GPa. At the position shown, the cable is stationary and has a length of 60m. The cage starts its motion with an initial velocity of 3 m/s downwards. If the cross-section area of the cable is 1.2 cm^2, determine. a. The natural frequency (rad/s), frequency (Hz), and period (s). b. The amplitude of vibration of the cage and the maximum and minimum accelerations. c. The maximum tension force in the cable. E-200 GPa, 4-1.2cm m-1200 kg L-60 m