Interpreting Damped Oscillation Solutions

Damped Oscillations

11th Grade·Math·UK A-Level

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Distinguish between heavy, critical and light damping and interpret the long-term behaviour of the system.

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Damped Oscillations

11th Grade · Math · UK A-Level

4 lessons

Goal

Extend the SHM model with damping terms, solve the resulting second-order differential equations, and interpret heavy, critical, and light damping behaviour.

4 lessons

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Introduction to Damped OscillationsUp next
Modelling Damped Oscillations with Second-Order DEsNot started yet
Interpreting Damped Oscillation SolutionsYou are here
Damped Oscillation Problem SolvingNot started yet

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Learning standards covered

FM-I6General Certificate of Education Advanced Level (UK A-Level) · Further-maths · 11th Grade

Understand and use the relationship between the cases when the discriminant of the auxiliary equation is positive, zero and negative and the form of solution of the differential equation

FM-I8General Certificate of Education Advanced Level (UK A-Level) · Further-maths · 11th Grade

Model damped oscillations using 2nd order differential equations and interpret their solutions