1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Energy method matrix

  1. Nov 17, 2014 #1
    Hi,

    Can somebody tell me if my kinetic energy (T) and potential energy of spring (V) for this system in matrix form is correct or wrong,

    m1= 2, k1 =5, m2 = m2, k2 = k2

    T = 1/2 (2* q1'^2+ m2* q2'^2) so in matrix form it was 1/2(q'^T) (2 0 *( q')
    0 m2)
    V = 1/2 (5*q1^2+k2(q2-q1)^2) = 1/2 ((5+k2)* q1^2- 2*k2*q1*q2 + k2*q2^2) so in matrix form it was

    1/2 (q^T) ( 5+k2 -k2 * (q)
    -k2 k2)
    upload_2014-11-17_18-7-20.png
     
  2. jcsd
  3. Nov 17, 2014 #2
    The matrix for T is
    2 0
    0 m2
     
  4. Nov 17, 2014 #3
    The Matrix for V is

    5+k2 -k2
    -k2 k2
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted



Similar Discussions: Energy method matrix
  1. Optics Matrix Methods (Replies: 0)

Loading...