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1 # TP1 10.29 Two Masses fixed to walls

2 # Two equal masses m are connected to each other by a spring (spring constant D) and on either side to a fixed wall.

4 # m*s1'' + 2D*s1 - D*s2 = 0 => s1'' = -D/m*s1 -D/m*s1 + D/m*s2

5 # m*s2'' + 2D*s1 - D*s1 = 0 => s2'' = -D/m*s2 -D/m*s2 + D/m*s1

7 coefficient(1): D/m_1 # D/m for s1

8 coefficient(2): D/m_2 # D/m for s2, identical to D/m_1

9 coefficient(3): -1 -> -s1_0 # initial position of s1

10 coefficient(4): -1 -> -s2_0 # initial position of s2

12 iintegrate -D/m*s1, -D/m*s1, D/m*s2 -> -s1' # input is s1''

13 iintegrate -s1' -> s1

14 IC: -s1_0

15 s1 * D/m_1 -> D/m*s1

16 invert D/m*s1 -> -D/m*s1

18 iintegrate -D/m*s2, -D/m*s2, D/m*s1 -> -s2' # input is s2''

19 iintegrate -s2' -> s2

20 IC: -s2_0

21 s2 * D/m_2 -> D/m*s2

22 invert D/m*s2 -> -D/m*s2

24 output(x): s1

25 output(y): s2