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# The motion of a damped spring-mass system (Fig. P22.15) is described by the following

ISBN: 9780073401102 336

## Solution for problem 22.15 Chapter 22

Applied Numerical Methods W/MATLAB: for Engineers & Scientists | 3rd Edition

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Problem 22.15

The motion of a damped spring-mass system (Fig. P22.15) is described by the following ordinary differential equation: m d2x dt2 + c dx dt + kx = 0 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 f 5 (underdamped), 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 plot.

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3.Process Management  A process can be thought of as a program in execution. A process will need certain resources—such as CPU time, memory, files, and I/O devices —to accomplish its task. These resources are allocated to the process either when it is created or while it is executing.  A process is the unit of work in most systems. Systems consist of a collection...

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The motion of a damped spring-mass system (Fig. P22.15) is described by the following

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