This problem is an example of over-damped harmonic motion. A mass m = 2 kg is attached to both a spring with spring constant k = 64 N/m and a dash-pot with damping constant c = 24 N. s/m. The ball is started in motion with initial position x = -9 m and initial velocity vo = 5 m/s. Determine the position function (t) in meters. x(t) =

Physics for Scientists and Engineers: Foundations and Connections
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Author:Katz, Debora M.
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Chapter2: One Dimensional Motion
Section: Chapter Questions
Problem 17PQ: The position of a particle attached to a vertical spring is given by y=(y0cost)j. The y axis points...
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This problem is an example of over-damped harmonic motion.
A mass m = 2 kg is attached to both a spring with spring constant k = 64 N/m and a dash-pot with damping constant c = 24 N. s/m.
The ball is started in motion with initial position x = -9 m and initial velocity vo = 5 m/s.
Determine the position function (t) in meters.
x(t)
=
Transcribed Image Text:This problem is an example of over-damped harmonic motion. A mass m = 2 kg is attached to both a spring with spring constant k = 64 N/m and a dash-pot with damping constant c = 24 N. s/m. The ball is started in motion with initial position x = -9 m and initial velocity vo = 5 m/s. Determine the position function (t) in meters. x(t) =
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