This course provides a foundation in modelling dynamics of engineering systems and leads to solution of practical problems in vibration and automatic control. Free body diagrams and energy methods will be shown. Solution of free and forced response will be investigated. Basic vibration analysis will be used to apply vibration isolation methods. Multiple degree of freedom systems including lumped parameter systems will be introduced leading to the eigenvalue problem and modal analysis. The course will enable students to design effective feedback control using a broad range of control design tools including mathematical modelling of system components, block diagram manipulation, linearisation, Laplace transform, root locus, frequency domain and state space techniques. Students will study practical controllers such as the PID controller.