Core Pure- SHM Modelling

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acceleration , x double dot

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8 Terms

1

acceleration , x double dot

= -w^2 x

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2

acceleration, x double dot also written as

v dv/dx

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3

Damped harmonic motion equation

Has dx/dt term

Equal to 0

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4

Heavy damping

Auxiliary equation has distinct real roots

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5

Critical damping

Auxiliary equation has equal roots

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6

Light damping

Auxiliary equation has no real roots

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7

Forced harmonic motion equation

Non-homogenous

Equal to a function of t

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8

Coupled first-order differential equations are only homogenous if

+f(t) or +g(t) equal to 0

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