me 1020 engineering programming with matlab chapter 5...

ME 1020 Engineering Programming with MATLAB

Chapter 5 In-Class Assignment: 5.3, 5.6, 5.8, 5.12, 5.15, 5.18, 5.21, 5.26, 5.28, 5.30

Topic Covered:

xy Plotting Functions

Additional Commands and Plot Types

Interactive Plotting in MATLAB

Three-Dimensional Plots

Problem 5.3:

function y = funprob5_3(x)

%Problem 5.3: Scott Thomas

y = x.^3 - 3*x.^2 + 5*x.*sin(pi*x/4 - 5*pi/4) + 3;

end

To use a function call, see fzero at the bottom of page 124:

fzero(@function, x0)

% Problem 5.3

clear

clc

disp('Problem 5.3: Scott Thomas')

disp('Part a:')

x = linspace(-1,4,1000);

y = funprob5_3(x);

plot(x,y), xlabel('x'), ylabel('y'), grid on

title('Problem 5.3 by Scott Thomas')

x0 = -0.5

x = fzero(@funprob5_3,x0)

x1 = 1.1


x2 = 3.8


Problem 5.3: Scott Thomas

Part a:

x0 =

-5.0000e-01

x =

-4.7951e-01

x1 =

1.1000e+00

x =

1.1346e+00

x2 =

3.8000e+00

x =

3.8318e+00

Problem 5.6:

function V = funprob5_6(t)

V = 10^9 + 10^8*(1 - exp(-t/100)) - 10^7*t;

end

% Problem 5.6

clear

clc


xmin = 0;

xmax = 100;

fnc = @funprob5_6;

fplot(fnc,[xmin xmax]),xlabel('Time (days)'), ylabel('Reservoir Water Volume (liters)'),grid on


54 days to reach 50% of initial volume.

Problem 5.8:

Problem setup:

Rewrite the equation to the following:

2x – y + 6 = 0 to match Ax + By + C = 0. This gives A = 2, B = -1, C = 6.

% Problem 5.8

clear

clc


tstart = 0;% hr

tstep = 0.1;% hr

tstop = 10;% hr

t = tstart:tstep:tstop;

x = t;

y = 0.5*t.^2 + 10;

xboundary = x;

yboundary = 2*xboundary + 6;

A = 2; B = -1; C = 6;

d = abs((A*x + B*y + C)/sqrt(A^2 + B^2));

plot(x,y, xboundary, yboundary, x,d), xlabel('x (miles)'), ylabel('y (miles)'),grid on

legend('Vessel Route','Boundary','Distance From Boundary','Location','NorthWest')

title('Problem 5.8: Scott Thomas')

Problem 5.12:

% Problem 5.12

clear

clc


x = 0:0.01:2*pi;

real1 = real(exp(i*x));

yimag1 = imag(exp(i*x));

real2 = real(cos(x) + i*sin(x));

yimag2 = imag(cos(x) + i*sin(x));

subplot(2,1,1)

plot(real1,yimag1), xlabel('Real[exp(i*x)]'), ylabel('Imaginary[exp(i*x)]'),grid on

title('Problem 5.12: Scott Thomas'), axis square

subplot(2,1,2)

plot(real2,yimag2), xlabel('Real[cos(x) + i*sin(x)]')

ylabel('Imaginary[cos(x) + i*sin(x)]'),grid on, axis square


Problem 5.15:

% Problem 5.15

clear

clc


N = 100;

t = linspace(0,10,N);

x = 10*exp(-0.5*t).*sin(3*t + 2);

y = 7*exp(-0.4*t).*cos(5*t - 3);

plot(t, x, t, y)

xlabel('Time'),grid on, ylabel('x(t) and y(t)')


legend('x(t)','y(t)','Location','SouthEast')


Problem 5.18:

% Problem 5.18

clear

clc


R = 286.7;% J/(kg-K)

T = 293;% degrees Kelvin

N = 1000;

V = linspace(20,100,N);% m^3

m = [1 3 7];% kg

p1 = m(1)*R*T./V;% (N/m^2)

p2 = m(2)*R*T./V;% (N/m^2)

p3 = m(3)*R*T./V;% (N/m^2)

plot(V, p1, V, p2, V, p3)

xlabel('Volume (m^3)'),grid on, ylabel('Pressure (N/m^2)')

legend('m = 1 kg','m = 3 kg','m = 7 kg','Location','NorthEast')


Problem 5.21:

% Problem 5.21

clear

clc


year = 2000:1:2004;

Temp = [21 18 19 20 17];

subplot(3,1,1)

stem(year,Temp)

set(gca,'XTick',2000:1:2004)


text(2001.3, 25, 'Stem Plot')

subplot(3,1,2)

bar(year,Temp), ylabel('Temperature (C)')

set(gca,'XTick',2000:1:2004)

text(2001.3, 25, 'Bar Plot')

subplot(3,1,3)

stairs(year,Temp), xlabel('Year')

set(gca,'XTick',2000:1:2004)

axis([2000 2004 0 30])

text(2001.3, 25, 'Stairs Plot')

Problem 5.26:

% Problem 5.26

clear

clc


RC = 0.1;% seconds

N = 1000;

omega = logspace(0,2,N);

ratio = abs(1./(RC*omega.*(1i) + 1));

%

%semilogy

loglog(omega,ratio)

ylabel('|A_o/A_i|'), xlabel('\omega (1/sec = Hz)')


set(gca,'YTick',linspace(0.1,1,10))

grid on

%legend('n = 1', 'n = 4', 'n = 12', 'Location', 'NorthWest')

Problem 5.28:

% Problem 5.28

clear

clc


N = 1000;

a = 1;

b = [0.1 0.2 -0.1];

t = linspace(0,10*pi,N);

x = a*cos(t);

y = a*sin(t);

z1 = b(1)*t;

z2 = b(2)*t;

z3 = b(3)*t;

plot3(x,y,z1,x,y,z2,x,y,z3)

ylabel('y'), xlabel('x'), zlabel('z')


%set(gca,'XTick',0:pi/2:2*pi)

%set(gca,'XTickLabel',{'0','pi/2','pi','3pi/2','2pi'})

grid on, legend('b = 0.1', 'b = 0.2', 'b = -0.1')

%axis([0 2*pi -40 40])

Problem 5.30:

% Problem 5.30

clear

clc


N = 30;

x = linspace(-10,10,N);

y = linspace(-10,10,N);

[X,Y] = meshgrid(x,y);

Z = X.^2 - 2*X.*Y + 4*Y.^2;

mesh(X,Y,Z)

%contour(X,Y,Z)



grid on


% Problem 5.30

clear

clc


N = 30;

x = linspace(-10,10,N);

y = linspace(-10,10,N);

[X,Y] = meshgrid(x,y);

Z = X.^2 - 2*X.*Y + 4*Y.^2;

%mesh(X,Y,Z)

contour(X,Y,Z)



grid on


me 1020 engineering programming with matlab chapter 5...

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