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.
