please show all work :) 1.A) Write down Newton's second law for a damped harmonic oscillator and identify theterms.B) Assume a general solution: x(t) = exp{-at} [ASin(@t) +BCos(@t)], and describe inone sentence how we solve for a and o. Simply state the answer for these two variables.C) Assume a spring constant of 4.00-N/m and a mass of 4.00-kg and determine what isrequired for CRITICALLY damped motion. Graph x(t) if x(0) = 10 cm and it is at restfor this critically damped case.

(A) In Simple harmonic motion, the frictional forces such as air resistance do include. But now when…

1. A) Write down Newton's second law for a damped harmonic oscillator and identify the terms. B) Assume a general solution: x(t) = exp{-at} [ASin(@t) +BC0S(@t)], and describe in one sentence how we solve for a and @. Simply state the answer for these two variables. C) Assume a spring constant of 4.00-N/m and a mass of 4.00-kg and determine what is required for CRITICALLY damped motion. Graph x(t) if x(0) = 10 cm and it is at rest for this critically damped case.

1. A) Write down Newton's second law for a damped harmonic oscillator and identify the terms. B) Assume a general solution: x(t) = exp{-at} [ASin(@t) +BC0S(@t)], and describe in one sentence how we solve for a and @. Simply state the answer for these two variables. C) Assume a spring constant of 4.00-N/m and a mass of 4.00-kg and determine what is required for CRITICALLY damped motion. Graph x(t) if x(0) = 10 cm and it is at rest for this critically damped case.

College Physics

10th Edition

ISBN:9781285737027

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter13: Vibrations And Waves

Section: Chapter Questions

Problem 14P: An object-spring system moving with simple harmonic motion has an amplitude A. (a) What is the total...

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