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# A mass of 20 g stretches a spring 5 cm. Suppose that the mass is also attached to a

ISBN: 9781119256007 392

## Solution for problem 5 Chapter 3.7

Elementary Differential Equations and Boundary Value Problems | 11th Edition

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Problem 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 dyns/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 quasiperiod to the period of the corresponding undamped motion. Also find the time such that |u(t)| < 0.05 cm for all t > .

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NAME: NetID: MATH 285 E1/F1 Exam 1 (B) September 19, 2014 Instructor: Pascale▯ Problem Possible Actual 1 20 2 20 3 20 INSTRUCTIONS:...

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