i) Draw sample response plots for overdamped and underdamped single degree of freedom system in the same figure ii) Draw response of a harmonically excited single degree of freedom underdamped system when the driving frequency is same as the natural frequency of the system iii) What information do eigenvalues and eigenvectors of a system convey? iv) Define a BIBO stable system. v) Determine the number of degrees of freedom of the following systems: a. augus K m b. ki K3 X C. www. K3 Ki m K X4 www vi) Explain the phenomenon of beats in harmonically excited systems. vii) Provide equation to find response of an underdamped single degree of freedom system subjected to an impulse force F at time t=0 seconds. Assume zero initial conditions viii) Define mode shape.