Core Pure- SHM Modelling
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8 Terms
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acceleration , x double dot
= -w^2 x
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acceleration, x double dot also written as
v dv/dx
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Damped harmonic motion equation
Has dx/dt term
Equal to 0
Equal to 0
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Heavy damping
Auxiliary equation has distinct real roots
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Critical damping
Auxiliary equation has equal roots
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Light damping
Auxiliary equation has no real roots
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Forced harmonic motion equation
Non-homogenous
Equal to a function of t
Equal to a function of t
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Coupled first-order differential equations are only homogenous if
\+f(t) or +g(t) equal to 0