problem 1)a) What do you understand by resonance?

b) What do you mean by beat?

c) Describe energy method/Rayleigh's method for determining the frequency of the system.

d) What are the major components of a vibrating system?

e) prepare down the advantage (prepare one only) of critical damping?

f) What do you understand by continuous system?

g) What is the difference between transverse and longitudinal vibrations?

h) Is it correct that the linear systems tend to become non-linear with large vibration amplitudes?

i) Describe the term vibration isolation

problem 2) A body describes simultaneously two motions x₁=3 sin 40t, x₂=4sin 41t. What is the maximum and minimum amplitude of combined motion and beat frequency?

problem 3) A vibratory system in a vehicle is to be designed with the following parameters:
K=100N/m, C=2 N.sec/m, m=1kg. Compute the decrease of amplitude from its starting value after 3 complete oscillations and

(b) the frequency of oscillation.

problem 4) Derive frequency equation of longitudinal vibrations for a free beam with zero initial displacement.