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byjus.com
Free, Forced and Damped Oscillation - Definition, Examples, Questions
What is an Oscillation in Physics? What are Free Forced Oscillation and Damped Oscillation? Explore SHM and its types like Free, Forced and Damped oscillation, formula, terms, units and examples.\n
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1. A body executes damped forced vibrations that are governed by the differential equation:(d^2x)/(dt^2) 2k(dx)/(dt) a^2x = e^-ktsinω t where k and a are constants. Solve the differential equation and analyze motionof the body for different values of ω.OREvaluate (i) limx→ 0([(1 x)^1/x - e])/(x), (ii) ∫0^1 t^3/2(1-t)^3/2dt.
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