(a) Explain what is meant by Damped Oscillations. Deduce the differen…

Previous year question for Applied Engineering Physics.

Question

(a) Explain what is meant by Damped Oscillations. Deduce the differential equation of a damped harmonic Oscillator and find its solution. Discuss in detail the cases of critical damping and overdamping. (12)

(b) A quartz crystal of thickness $0.001\text{ m}$ is vibrating at resonance. Calculate the fundamental frequency. Given Young's modulus for Quartz $= 7.9 \times 10^{10}\text{ N m}^{-2}$ and density of quartz $= 2650\text{ kg m}^{-3}$. (8)

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