Problem 5: (a) For a driven, damped harmonic oscillator, the peak of the amplitude (and therefore the maximum potential energy) occurs for a driving frequency of w = ₂ = √w – 2/3². Determine the driving frequency at which the kinetic energy of the system is a maximum. (b) Make a "resonance peak" plot of kinetic energy versus driving frequency, for various values of ß. [You may assume that wo = 1 rad/s, or equivalently you can choose to measure driving frequency w and damping ß as fractions or multiples of wo. Choose a convenient value for the driving force.]
Problem 5: (a) For a driven, damped harmonic oscillator, the peak of the amplitude (and therefore the maximum potential energy) occurs for a driving frequency of w = ₂ = √w – 2/3². Determine the driving frequency at which the kinetic energy of the system is a maximum. (b) Make a "resonance peak" plot of kinetic energy versus driving frequency, for various values of ß. [You may assume that wo = 1 rad/s, or equivalently you can choose to measure driving frequency w and damping ß as fractions or multiples of wo. Choose a convenient value for the driving force.]
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![Problem 5: (a) For a driven, damped harmonic oscillator, the peak of the amplitude
(and therefore the maximum potential energy) occurs for a driving frequency of w=w₂ =
√3 - 2/3². Determine the driving frequency at which the kinetic energy of the system is
a maximum. (b) Make a "resonance peak" plot of kinetic energy versus driving frequency,
for various values of ß. [You may assume that wo = 1 rad/s, or equivalently you can choose
to measure driving frequency w and damping / as fractions or multiples of wo. Choose a
convenient value for the driving force.]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F29c74d06-0f3b-4eb2-9c9d-dbbc1918002c%2Faf1f1353-0888-4cc5-ab77-291b307aa520%2Fso2sygg_processed.png&w=3840&q=75)
Transcribed Image Text:Problem 5: (a) For a driven, damped harmonic oscillator, the peak of the amplitude
(and therefore the maximum potential energy) occurs for a driving frequency of w=w₂ =
√3 - 2/3². Determine the driving frequency at which the kinetic energy of the system is
a maximum. (b) Make a "resonance peak" plot of kinetic energy versus driving frequency,
for various values of ß. [You may assume that wo = 1 rad/s, or equivalently you can choose
to measure driving frequency w and damping / as fractions or multiples of wo. Choose a
convenient value for the driving force.]
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