Core Pure- SHM Modelling

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Algebra

System of Equations

A-Level Further and Additional Maths

Edexcel

Further Algebra & Functions

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

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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

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Coupled first-order differential equations are only homogenous if

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

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