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funPendulum.m
function fVal= funPendulum(t,Y)
r=Y(1);
theta=Y(2);
u=Y(3);
v=Y(4);
%constants
K=40;
m=0.25;
g=9.80665;
L=0.5;
% define dy/dt
fVal(1,1)=u;
fVal(2,1)=v;
fVal(3,1)=r*(u^2)+g*cosd(theta)-(K/m)*(r-L);
fVal(4,1)=(-2*u*v-g*sind(theta))/r;
end
runPendulum.m
Y0=[0.5;60;0;0];
tSpan=[0 3.05675];
[time,Ysol]=ode23(@(t,Y) funPendulum(t,Y),tSpan,Y0);
r=Ysol(:,1);
theta=Ysol(:,2);
u=Ysol(:,3);
v=Ysol(:,4);
clf;
plot(time,Ysol);
xlabel('Time(s)');ylabel('r theta u v')
hold on;
plot(3.05675,0.543911,'*b')
[theta,time,r]
im having trouble doing this problem with matlab code and we can not use ode45 in...
Consider a cylindrical storage tank with surface area A which contains a liquid at depth y:At time t = 0, the tank is empty (y = 0 when t = 0). Liquid is supplied to the tank at a sinusoidal
rate Qin =3Qsin2
(t) and withdrawn from the tank as:
𝑄𝑜𝑢𝑡 = 3(𝑦 − 𝑦𝑜𝑢𝑡)
1.5
if 𝑦 > 𝑦𝑜𝑢𝑡
𝑄𝑜𝑢𝑡 = 0 if 𝑦 ≤ 𝑦𝑜𝑢𝑡 Please note that both 𝑄𝑖𝑛 and 𝑄𝑜𝑢𝑡 have units m3
/h. The mass...
The Program for the code should be matlab
5. [25 pointsl Given the initial value problem with the initial conditions y(0) 2 and y'(0)10, (a) Solve analytically to obtain the exact solution y(x) (b) Solve numerically using the forward Euler, backward Euler, and fourth-order Runge Kutta methods. Please implement all three methods yourselves do not use any built- in integrators (i.e., ode45)). Integrate over 0 3 r < 4, and compare the methods with the exact solution. (For example, using...
I mostly needed help with developing matlab code using
the Euler method to create a graph. All the other methods are
doable once I have a proper Euler method code to refer to.
2nd order ODE of modeling a cylinder oscillating in still water wate wate Figure 1. A cylinder oscillating in still water. A cylinder floating in the water can be modeled by the second order ODE: dy dy dt dt where y is the distance from the water...
modify this code is ready
% Use ODE45 to solve Example 4.4.3, page 205, Palm 3rd
edition
% Spring Mass Damper system with initial displacement
function SolveODEs()
clf %clear any existing plots
% Time range Initial Conditions
[t,y] = ode45( @deriv, [0,2], [1,0] );
% tvals yvals color and style
plot( t, y(:,1), 'blue');
title('Spring Mass Damper with initial displacement');
xlabel('Time - s');
ylabel('Position - ft');
pause % hit enter to go to the next plot
plot( t, y(:,2), 'blue--');...
Exercise 3.2. This problem is challenging! Two identical particles of mass m are connected by a light spring with stiffness k (neglect the spring's mass) and equilibrium length 2. Ev- erything is lined up on the z-axis. Let the position of particle 1 be r(t) and the position of particle 2 be f(t). If at time t = 0, the positions are (0) = ? and r2(0) = l, and the velocities are non-zero with vi(0) = v1 +0 and...
I have all of the answers to this can someone just actually
explain this matlab code and the results to me so i can get a
better understanding?
b)
(c) and (d)
%% Matlab code %%
clc;
close all;
clear all;
format long;
f=@(t,y)y*(1-y);
y(1)=0.01;
%%%% Exact solution
[t1 y1]=ode45(f,[0 9],y(1));
figure;
plot(t1,y1,'*');
hold on
% Eular therom
M=[32 64 128];
T=9;
fprintf(' M Max error \n' );
for n=1:length(M)
k=T/M(n);
t=0:k:T;
for h=1:length(t)-1
y(h+1)=y(h)+k*f(t(h),y(h));
end
plot(t,y);
hold on
%%%...
I want matlab code.
585 i1 FIGURE P22.15 22.15 The motion of a damped spring-mass system (Fig. P22.15) is described by the following ordinary differ- ential equation: dx dx in dt2 dt 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 of 5 (underdamped), 40 (critically damped), and 200 (over- damped). The spring constant k-20 N/m. The initial ve- locity is...
C++. Difficulty with quickSort function. Code will not run quickSort function. The code I'm having trouble with is in bold. -------------------------------------------------------------------------------------------------driverProgram.cpp #include #include #include #include #include "quickSort.cpp" using namespace std; int main() { const int MIN_SIZE = 4; //Array size const int SIZE = 25; int theArray[SIZE] = {11, 22, 33, 44, 55, 66, 77, 88, 99, 12, 13, 14, 15, 16, 17, 18, 19, 18, 19, 20, 21, 22, 23, 24, 25}; cout << "List of 25 items: ";...
help me with this. Im done with task 1 and on the way to do task
2. but I don't know how to do it. I attach 2 file function of rksys
and ode45 ( the first is rksys and second is ode 45) . thank for
your help
Consider the spring-mass damper that can be used to model many dynamic systems -- ----- ------- m Applying Newton's Second Law to a free-body diagram of the mass m yields the...
I wonder how to a problem 5.13.
This problem is related to applied numerical methods with
Matlab(third edition).
I want Matlab code.
5.13 Figure P5.13a shows a uniform beam subject to a lin- early increasing distributed load. The equation for the result- ing elastic curve is (see Fig. P5.13b) htm U) (P5.13) 3 3" Use bisection to determine the point of maximum deflection (i.e, the value of x where dy/dx 0). Then substitute this value into Eq. (P5 13) to...