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A mass of 20g 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. Sketch the graph of 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. What kind of damping is there in this system? Remark: dyn (dyne) unit of force in centimeter-gram/second second. One dyne equals 0.00001 Newton.

A mass of 20g 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. Sketch the graph of 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. What kind of damping is there in this system? Remark: dyn (dyne) unit of force in centimeter-gram/second second. One dyne equals 0.00001 Newton.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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A mass of 20g 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. Sketch the graph of 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. What kind of damping is there in this system? Remark: dyn (dyne) unit of force in centimeter-gram/second second. One dyne equals 0.00001 Newton.
Transcribed Image Text:A mass of 20g 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. Sketch the graph of 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. What kind of damping is there in this system? Remark: dyn (dyne) unit of force in centimeter-gram/second second. One dyne equals 0.00001 Newton.
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