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$ % plotdamped.m $ This program plots the following equation related to damped motion. f(x) = e^(-x/a) *cos(2*pi*x/lambda) % The script allows a and lambda to be varied. % Author: Andrew Bartolini $ Date: January 23, 2019 % clear memory clear % Clear Command Window clc $ close all figures close all; $% Set parameters % Set the parameters that can be varied in the program a = 2; lambda = 0.5; % Specify the properties related to the x vector xmin = 0; xmax = 10; Nx = 200; % this value changes how coarse the plot looks %% Calculate the vectors % Create the x vector using the linspace command. x = linspace(xmin, xmax, Nx); % Calculate the y vector using the equation listed in the header y = exp(-x/a). *cos(2*pi*x/lambda); %% Plot the results % Create a new figure with the figure function figure Plot the results using the plot function plot(x,y) % Label the axes xlabel('x') ylabel('y') & Give the figure a title title('plotdamped.m') $ Turn the grid on grid on 5. Animating Damped Motion // Filename: animatedamped.m Start with the plotdamped.m code that you completed for Homework 2. Change the code so there is a variable doAnimate that is set at the beginning of the code and is either true or false. If do Animate is false, the program should create a plot of the curve with no animation. If doAnimate is true, the plot must now be animated, showing the current point as a red circle and the previous points as a blue line (similar to the sine wave in the animation videos). Failure to use these line styles, markers and colors will result in you losing points. $ % plotdamped.m $ This program plots the following equation related to damped motion. f(x) = e^(-x/a) *cos(2*pi*x/lambda) % The script allows a and lambda to be varied. % Author: Andrew Bartolini $ Date: January 23, 2019 % clear memory clear % Clear Command Window clc $ close all figures close all; $% Set parameters % Set the parameters that can be varied in the program a = 2; lambda = 0.5; % Specify the properties related to the x vector xmin = 0; xmax = 10; Nx = 200; % this value changes how coarse the plot looks %% Calculate the vectors % Create the x vector using the linspace command. x = linspace(xmin, xmax, Nx); % Calculate the y vector using the equation listed in the header y = exp(-x/a). *cos(2*pi*x/lambda); %% Plot the results % Create a new figure with the figure function figure Plot the results using the plot function plot(x,y) % Label the axes xlabel('x') ylabel('y') & Give the figure a title title('plotdamped.m') $ Turn the grid on grid on 5. Animating Damped Motion // Filename: animatedamped.m Start with the plotdamped.m code that you completed for Homework 2. Change the code so there is a variable doAnimate that is set at the beginning of the code and is either true or false. If do Animate is false, the program should create a plot of the curve with no animation. If doAnimate is true, the plot must now be animated, showing the current point as a red circle and the previous points as a blue line (similar to the sine wave in the animation videos). Failure to use these line styles, markers and colors will result in you losing points