A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 4 years ago
I need help solving the following set of differential equations. This MUST be done in MATLAB. I can solve them otherwise, but I am struggling to accomplish this using MATLAB.
\[{dX_c \over dt} = v_x \cos(\theta)  v_y \sin(\theta)\]\[{dY_c \over dt} = v_x \sin(\theta) + v_y \cos(\theta)\]\[{d \theta \over dt} = \omega_z\] \[{d v_x \over dt} = {1 \over m} \left [ F_x + mv_y \omega_z \right] \] \[{d v_y \over dt} = {1 \over m} \left [ F_y  m v_x \omega_z \right] \] \[{d \omega_z \over dt} = {1 \over I_z} T_{ext} \]
anonymous
 4 years ago
I need help solving the following set of differential equations. This MUST be done in MATLAB. I can solve them otherwise, but I am struggling to accomplish this using MATLAB. \[{dX_c \over dt} = v_x \cos(\theta)  v_y \sin(\theta)\]\[{dY_c \over dt} = v_x \sin(\theta) + v_y \cos(\theta)\]\[{d \theta \over dt} = \omega_z\] \[{d v_x \over dt} = {1 \over m} \left [ F_x + mv_y \omega_z \right] \] \[{d v_y \over dt} = {1 \over m} \left [ F_y  m v_x \omega_z \right] \] \[{d \omega_z \over dt} = {1 \over I_z} T_{ext} \]

This Question is Closed

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0The initial conditions are as follows: \(X_c(0) = 0 ; ~ Y_c(0) = 0; ~ \theta(0) = 0;~ v_x(0) = 0;~ v_y(0) = 0;~ \omega_z(0) = 0\) The force and external torque have the following definition: \[F_x(t) = 1000 \cos(0.1 t) ; ~ F_y = 100 \sin(0.2 t); ~ T_{ext} = 50(1 + \sin(0.3t))\]Finally, \(m = 100~ {\rm and} ~ I_z = 1000\)
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.