Numerical Methods For Engineers, 7 Ed
Numerical Methods For Engineers, 7 Ed
7th Edition
ISBN: 9789352602131
Author: Canale Chapra
Publisher: MCGRAW-HILL HIGHER EDUCATION
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Chapter 25, Problem 16P

The motion of a damped spring-mass system (Fig. P25.16) is described by the following ordinary differential equation:

m d 2 x d t 2 + c d x d t + k x = 0 x =

where x = displacement from equilibrium position (m), t = time (s), m = 20-kg mass, and c = the damping coefficient ( N s/m ) . The damping coefficient c takes on three values of 5 (under- damped), 40 (critically damped), and 200 (overdamped). The spring constant k = 20  N/m . The initial velocity is zero, and the initial displacement x = 1 m. Solve this equation using a numerical method over the time period 0 t 15  s . Plot the displacement versus time for each of the three values of the damping coefficient on the same curve.

Chapter 25, Problem 16P, 25.16 	The motion of a damped spring-mass system (Fig. P25.16) is described by the following

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Numerical Methods For Engineers, 7 Ed

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