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25.16 The motion of a damped spring-mass system (Fig. P25.16) is described by the following ordinary differential equation: m d2x dt where x dx +c+ kx = 0 dt 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. FIGURE P25.16 m k x (4) Problem 25.16. Here, use MATLAB's 'ode45' intrinsic function. Print all code associated with this problem, as well as a plot of x versus t for each damping coefficient.

25.16 The motion of a damped spring-mass system (Fig. P25.16) is described by the following ordinary differential equation: m d2x dt where x dx +c+ kx = 0 dt 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. FIGURE P25.16 m k x (4) Problem 25.16. Here, use MATLAB's 'ode45' intrinsic function. Print all code associated with this problem, as well as a plot of x versus t for each damping coefficient.

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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25.16 The motion of a damped spring-mass system (Fig. P25.16) is described by the following ordinary differential equation: m d2x dt where x dx +c+ kx = 0 dt 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. FIGURE P25.16 m k x
Transcribed Image Text:25.16 The motion of a damped spring-mass system (Fig. P25.16) is described by the following ordinary differential equation: m d2x dt where x dx +c+ kx = 0 dt 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. FIGURE P25.16 m k x
(4) Problem 25.16. Here, use MATLAB's 'ode45' intrinsic function. Print all code associated with this problem, as well as a plot of x versus t for each damping coefficient.
Transcribed Image Text:(4) Problem 25.16. Here, use MATLAB's 'ode45' intrinsic function. Print all code associated with this problem, as well as a plot of x versus t for each damping coefficient.
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