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.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 18EQ
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc47a605b-1167-4b41-bc40-883b330bf596%2F734e72de-1970-4375-9e33-818755c5a059%2Fy6rbdf5_processed.png&w=3840&q=75)
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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