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\nForce excitation equation of motion proof\n

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\n\nPublisher:\n\nVirtually Passed\n\n\n
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\nHere I derive part of the equation of motion for a spring mass damper system experiencing a sinusoidaly varying force. This is only the particular solution - Ie, the steady state solution. The total solution is x(t) = x_p + x_h where x_h...\nHere I derive part of the equation of motion for a spring mass damper system experiencing a sinusoidaly varying force. This is only the particular solution - Ie, the steady state solution. The total solution is x(t) = x_p + x_h where x_h is the homogeneous solution - ie the transient response\n
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Resource Details

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Curator Rating
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Educator Rating
Not yet Rated
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Media Length
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16:25
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Grade
Higher Ed
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Subjects
Science
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Media Type
Instructional Videos
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Source:
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\nVirtually Passed\n\n
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Date
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2013
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Language
English
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Audiences
For Teacher Use
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Usage Permissions
Fine Print: Educational Use
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Concepts

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vibration, motion, natural frequency, sine, frequency, coefficients, acting, spring, mass
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Additional Tags

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forced response, particular solution, steady state, damper, cx dot, double derivative, sign rule, square root, hand side, minus phi, sine phi, cos omega, cosine phi, blue term, sine omega, zeta omega, omega squared, equate coefficients, omega divided, omega times, mass times, minus, zeta, squared, omega, term, equate, divided, 1 divided
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Classroom Considerations

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\n\" data-title=\"Get Full Access\" data-container=\"body\" rel=\"popover\" tabindex=\"0\" aria-label=\"Play video: Force excitation equation of motion proof\" href=\"/subscription/new\">\"Force\n\n
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