Question

A damped harmonic oscillator consists of a block of mass 5kg and a spring with spring...

A damped harmonic oscillator consists of a block of mass 5kg and a spring with spring constant k = 10 N/m. Initially, the system oscillates with an amplitude of 63 cm. Because of the damping, the amplitude decreases by 56% of its initial value at the end of four oscillations.

  1. What is the value of the damping constant, b?
  2. What percentage of initial energy has been lost during these four oscillations?
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