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cse โ€ข paper_1 โ€ข waves_oscillations

[UPSC CSE 2004] Waves (Q55, 20M)

Write down the equation of motion for a damped harmonic oscillator assuming the damping force proportional to the velocity of the particle. Obtain the general solution for its displacement as a function of time. Discuss the cases of 'overdamping', 'under-damping' and 'critical damping'.

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