A damped harmonic oscillator consists of a block (m = 1.50 kg), a spring (k = 10.0 N/m), and a damping force (F = -bv). Initially, it oscillates with an amplitude of 25.0 cm; because of the damping, the amplitude falls to three-fourths of this initial value at the completion of four oscillations. (a) What is the value of b? (b) How much energy has been “lost” during these four oscillations? (c) Write down the condition to be a simple harmonic oscillator.
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