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A damped harmonic oscillator consists of a block (m = 2.00 kg), a spring (k = 10.0 N/m), and a damping force the is linearly proportional to the velocity. Initially, it oscillates with an amplitude of 25.0 cm; because of damping, the amplitude falls to three-forths of this initial value at the completion of four oscillations.
(a) What is the value of time constant ??
(b) How much energy has been "lost" during these four oscillations? We have not learned anything about damped harmonic oscillators in class yet, so if you could please include all equations that you used to solve this, that would be great. Also, this is algebra based physics, so I can not answer this with terms like (d^2*theta/dt^2), I would need to see it as angular acceleration (alpha) instead.
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