What are the conditions required for undamped oscillations in oscillator?

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter3: Oscillations
Section: Chapter Questions
Problem 3.19P
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What are the conditions required for undamped oscillations in oscillator?

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The oscillations in which the amplitude does not change with time are called undamped oscillation. While oscillation whose amplitude reduces with time is called damped oscillations.

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