G 5. A mass of 20 g stretches a spring 5 cm. Suppose that the mass is also attached to a viscous damper with a damping constant of 400 dyn-s/cm. If the mass is pulled down an additional 2 cm and then released, find its position u at any time t. Plot u versus t. Determine the quasi-frequency and the quasi-period. Determine the ratio of the quasi- period to the period of the corresponding undamped motion. Also find the time 7 such that |u(t)| < 0.05 cm for all t > T.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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G 5. A mass of 20 g stretches a spring 5 cm. Suppose that the
mass is also attached to a viscous damper with a damping constant of
400 dyn-s/cm. If the mass is pulled down an additional 2 cm and then
released, find its position u at any time t. Plot u versus t. Determine the
quasi-frequency and the quasi-period. Determine the ratio of the quasi-
period to the period of the corresponding undamped motion. Also find
the time 7 such that |u(t)| < 0.05 cm for all t > T.
Transcribed Image Text:G 5. A mass of 20 g stretches a spring 5 cm. Suppose that the mass is also attached to a viscous damper with a damping constant of 400 dyn-s/cm. If the mass is pulled down an additional 2 cm and then released, find its position u at any time t. Plot u versus t. Determine the quasi-frequency and the quasi-period. Determine the ratio of the quasi- period to the period of the corresponding undamped motion. Also find the time 7 such that |u(t)| < 0.05 cm for all t > T.
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