Damped free vibrations can be modelled by considering a block of mass m that is attached to a spring and a dashpot as shown.

From Newton's second law of motion, the displacement x of the mass as a function of time can be determined by solving the differential equation:

where k is the spring constant, and c is the damping coefficient of the dashpot. If the mass is displaced from its equilibrium position and then released, it will start oscillating back and forth. The nature of the oscillations depends on the size of the mass and the values of k and c.

(a) Create a MATLAB script file that calls for input of m, k, c, and xo. This file calls at least two functions i.e. function (b) that calculate x and v, and function (c) that animates the mass motion.

(b) Create a function M-file that calculates the displacement x and the velocity v of the mass, as function of time, t.

(c) Create another function M-file to create the animation of the mass motion.

(d) Demonstrate the program for two cases: 

(i) c = 3 N-s/m for 0 ≤ t ≤ 20s

(ii) c = 50 N-s/m for 0 ≤ t ≤ 10s

For the system shown in the figure m = 10kg, and k = 28 N/m. At time t = 0 the mass is  displaced to x = 0.18m, and then released from rest.

(e) Write a report describing your programs developed in (a), (b), and (c), and comment on your observation of the results from the two cases in (d).

Posted Date: 3/19/2013 2:38:23 AM | Location : United States

Ask an Expert

Related Discussions:- Create a matlab script file, Assignment Help, Ask Question on Create a matlab script file, Get Answer, Expert's Help, Create a matlab script file Discussions

Write discussion on Create a matlab script file
Your posts are moderated

Write your message here..

Related Questions

Sep coding, coding of sep protocol coding of sep protocol

Matlab programming on johnson''s sequencing rule, i want matlab programming... i want matlab programming on johnson''s sequencing rule

Write a matlab program, Write a MATLAB program that calculates the arithmet... Write a MATLAB program that calculates the arithmetic mean, the geometric mean, and the root-mean-square average for a given set of values. Your program must use 3 functions t

Critical path method in matlab, i made graph using adjacent matrix i have t... i made graph using adjacent matrix i have to find the critical path on that graph in matlab work can you please give me that code.

Determine two sided confidence intervals of the mean speed, The average spe... The average speed of vehicles on a freeway is being studied. Assume that the standard deviation of vehicle speed is known to be 8 km/h. (a) Suppose observations on 120 vehicles

Implement the methods in matlab, The Requirement details of project are as ... The Requirement details of project are as below. I also need detail description for presentation. For the project, given the training dataset ticdata2000.txt use any method you

Calculates the inverse of matrix by gauss-jordan elimination, Write a funct... Write a function that solves a system of linear equations or calculates the inverse of a matrix by Gauss-Jordan elimination. Your function should accept a matrix as an argument and

Find divergence of the 2-d vector field, 1. Assume that there exists a surf... 1. Assume that there exists a surface that can be modeled with the equation:  z = e-(x 2 + y 2 ).  a) Calculate ∇z at the point (x = 0, y = 0). b) In addition, use MATLAB to

DC Motor, I need assignment to finish. I need assignment to finish.

Kidney, MATLAB. • MATLAB Programming; • Simulation in MATLAB. MATLAB. • MATLAB Programming; • Simulation in MATLAB.