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Energy method matrix

  1. Nov 17, 2014 #1

    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)
  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
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