Excercise 3.1: A certain system has stiffness 10 Nm-1 and is very heavily damped. The mass is observed to be moving to the left at 10 mm/sec. when its position is 30 mm to the right of its equilibrium position. Calculate the resisteance. [Ans: 30 kg/sec]

Excercise 3.2: A lightly damped system is set into vibration with initial condition x(0)=0 and . Show that the subsequent motion is given as

where is the damped natural frequency and c is the damping factor.