A train made up of 3 cars of weight 60,000 lb each connected by coupling springs of Stiffness 15,000 lb/in. is released by a shunting engine and rolls freely along a track (Fig.). Determine the mode shapes and frequencies of vibration of the system of cars by Sweeping the rigid body mode.
(i) Solve the question by using vector iteration with shift
(ii) Repeat the problem by using Newmark Method with linear acceleration