getting error while plotting graph

i want to plot graph between F and x

F=c*(|v|^n)*sgn(v)

and v is derivative of x w.r.t time

|v| is magnitude of v

here v is velocity, x is displacement

c is a constant and can be assumed 1

n ranges [0,2]

when i am plotting the graph is coming out wrong

[Sam Chak]

Please click on this icon and insert the code that is used to plot the graph. Also describe the expected trajectory to be observed on the graph.

Answer 1

[Sam Chak]

Hi @Puneet,

Update: I have established the relationship between displacement and velocity using trigonometric functions, specifically sine and cosine, since .

t = linspace(0, 1, 10001);
x = sin(2*pi*t);    % displacement
v = cos(2*pi*t);    % rate of displacement
c = 1;
n = 0:0.25:2;
for j = 1:length(n) 
    F = c*(abs(v).^n(j)).*sign(v);
    plot(x, F), hold on, grid on, xlabel('x'), ylabel('F'); 
end
hold off

Previously: No information about the displacement, x, has been provided. If you provide x, I will revise the answer. Alternatively, I can also provide a simple motion system example if you wish. The absolute surd function (a.k.a. Absurd fcn) is plotted below:

vv = linspace(-1, 1, 20001);
cc = 1;
nn = 0.25;
FF = cc*(abs(vv).^nn).*sign(vv);
plot(vv, FF), grid on
xlabel('v'), ylabel('F')

[Puneet]

This is expected graph

[Sam Chak]

Please show the equation(s) of these plots.

[Sam Chak]

Hi @Puneet, I have updated my Answer above to show the expected plots. Take your time to learn and tune the sinusoidal parameters.