A damped harmonic oscillator consists of a block (m = 3.21 kg), a spring (k = 9.27 N/m), and a damping force (F= -bv). Initially, it oscillates with an amplitude of 23.6 cm; because of the damping, the amplitude falls to 0.707 of the initial value at the completion of 5 oscillations. (a) What is the value of b? (Hint: Assume that b² << km.) (b) How much energy has been lost during these 5 oscillations? (a) Number i (b) Number i Units Units

A damped harmonic oscillator consists of a block (m = 3.21 kg), a spring (k = 9.27 N/m), and a damping force (F= -bv). Initially, it oscillates with an amplitude of 23.6 cm; because of the damping, the amplitude falls to 0.707 of the initial value at the completion of 5 oscillations. (a) What is the value of b? (Hint: Assume that b² << km.) (b) How much energy has been lost during these 5 oscillations? (a) Number i (b) Number i Units Units

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Description: A damped harmonic oscillator consists of a block (m = 3.21 kg), a spring (k = 9.27 N/m), and a damping force (F= -bv). Initially, itoscillates with an amplitude of 23.6 cm; because of the damping, the amplitude falls to 0.707 of the initial value at

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter12: Oscillatory Motion

Section: Chapter Questions

Problem 12OQ

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