A damped harmonic oscillator involves a block (m = 1.91 kg), a spring (k = 12.6 N/m), and a damping force F=-yu. Initially, it oscillates with an amplitude of A = 26.2 cm; because of the damping, the amplitude falls to three-fourths of this initial value after four complete cycles. (1) What is the value of ? (2) How much mechanical energy has been lost by the oscillator during these four cycles.
A damped harmonic oscillator involves a block (m = 1.91 kg), a spring (k = 12.6 N/m), and a damping force F=-yu. Initially, it oscillates with an amplitude of A = 26.2 cm; because of the damping, the amplitude falls to three-fourths of this initial value after four complete cycles. (1) What is the value of ? (2) How much mechanical energy has been lost by the oscillator during these four cycles.
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Transcribed Image Text:A damped harmonic oscillator involves a block (m = 1.91 kg), a spring (k = 12.6 N/m), and a
damping force F = -yu. Initially, it oscillates with an amplitude of A = 26.2 cm; because of the
damping, the amplitude falls to three-fourths of this initial value after four complete cycles.
(1) What is the value of y?
(2) How much mechanical energy has been lost by the oscillator during these four cycles.
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