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A damped harmonic oscillator involves a block (m = 1.91 kg), a spring (k = 12.6 N/m), and a damping force F = - bv x , Initially, it oscillates with an amplitude of 26.2 cm; because of the damping, the amplitude falls to three-fourths of this initial value after four complete cycles. (a) What is the value of b? (b) How much energy has been "lost" 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 = - bvx, Initially, it oscillates with an amplitude of 26.2 cm; because of the damping, the amplitude falls to three-fourths of this initial value after four complete cycles. (a) What is the value of b? (b) How much energy has been "lost" during these four            cycles?

Grade:11

1 Answers

pa1
357 Points
7 years ago
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