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.
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![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) +BCos(@t)], and describe in
one 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 is
required for CRITICALLY damped motion. Graph x(t) if x(0) = 10 cm and it is at rest
for this critically damped case.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2e51c4f9-7707-4851-92b0-3f7eb5342ba2%2F81f7923e-639f-4570-a4e4-85dee455db0a%2Fvi56qvt_processed.png&w=3840&q=75)
Transcribed Image Text: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) +BCos(@t)], and describe in
one 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 is
required for CRITICALLY damped motion. Graph x(t) if x(0) = 10 cm and it is at rest
for this critically damped case.
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