Created
January 3, 2021 15:57
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Projectile Motion of a particle with drag force
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%Projectile motion | |
clear all | |
close all | |
clc | |
global g | |
global h | |
global m | |
g=9.81; | |
h=0.3; | |
m=2; | |
v0=10; | |
x0=0; | |
y0=0; | |
alpha=pi/3; | |
X0=[0 v0*cos(alpha) 0 v0*sin(alpha)]; | |
T=0; | |
X=X0; | |
t=2; | |
tsamp=0.01; | |
runtime=t/tsamp; | |
tspan=[0 tsamp]; | |
for i=1:runtime | |
t=i*tsamp; | |
[t,y]=ode45(@ProjectileMotion,tspan,X0); | |
X0=y(length(y),:); | |
T=[T;i*tsamp]; | |
X=[X;X0]; | |
end | |
for i=2:size(X,1) | |
hold off | |
plot(X(i,1),X(i,3),'bo','markerfacecolor','b') | |
axis([0,12,-4,8]) | |
hold on | |
pause(0.05) | |
% drawnow | |
end | |
function dx=ProjectileMotion(t,x) | |
global g | |
global h | |
global m | |
dx(1,1)=x(2); | |
dx(2,1)=-(h/m)*x(2)*sqrt(x(2)^2+x(4)^2); | |
dx(3,1)=x(4); | |
dx(4,1)=-g-(h/m)*x(4)*sqrt(x(2)^2+x(4)^2); | |
end | |
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