199499

3 C 22101

Section C

Answer any one question.
The question carries 11 marks.

20. Establish the differential equation of motion for a damped harmonic oscillator and write down the
general solution for displacement for oscillatory motion and sketch it. Show that the energy falls
exponentially with time.

21. State Fourier’s theorem. Determine the values of Fourier’s coefficients. What are conditions of its
applicability ? Discuss Fourier analysis of a non-periodic function with suitable plots.

(1 x 11 = 11 marks)

199499