(a) Distinguish between free, damped and forced oscillations. Deduce…

Previous year question for Applied Engineering Physics.

Question

(a) Distinguish between free, damped and forced oscillations. Deduce the differential equation of a forced harmonic oscillator and find its solution. Discuss its different cases. 12

(b) Show that the ratio of the energy lost per cycle to the energy stored in the damped oscillator is $\frac{2\pi}{Q}$, where $Q$ is the quality factor. 8

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