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-   -   Second order differential equations (https://www.askmehelpdesk.com/showthread.php?t=183980)

  • Feb 14, 2008, 09:11 AM
    nimel76
    1 Attachment(s)
    Second order differential equations
    The following differential equation , m (d^2 y)/(dt^2 )+6.1dy/dt+90.2y=1.3cos⁡(3.4t) represents the motion of a spring.

    When a 10kg mass is attached to the spring and released from a starting point 0.1m from the original point .the plotted results of displacement over time give an expected result, of a sin wave decaying from the transient to the steady state.

    However when a mass attached anomalies start to occur in the sin wave which were unexpected. Are these caused by the steady-state wave trying to move in phase with transient wave causing each other to cancel out or super impose? Or is there another reason for the anomalies?

    Please find attached a graphical representation of the two oscillation's the red line represents the 10kg mass and the blue line represents the 15kg mass.
  • Feb 14, 2008, 10:52 AM
    interinfinity
    Wow I'm an EE major and I'm not looking forward to that class

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