{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

math245labprob04

math245labprob04 - θ vs t measure the period of the...

Info icon This preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
Math245 Simulation Problem #4, Fall 2008 Consider a nonlinear pendulum equation given by d 2 θ dt 2 + sin θ = 0 , with the initial condition θ = θ 0 and θ 0 = 0 at t = 0. 1. Simulate the system for seven different initial values θ 0 = { 0 . 1 , 0 . 5 , 1 , 1 . 5 , 2 , 2 . 5 , 3 } for 0 t 50, and plot their phase portrait ( θ 0 vs θ ) in one single figure. 2. By plotting the solution curve (
Image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: θ vs t ), measure the period of the oscillation for each initial values given above. Plot the period T as a function of initial value θ . Material to be submitted: 1. Printout of the phase portrait. 2. A Graph of T vs θ . Hand-writing graph is also acceptable....
View Full Document

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern