*Disclaimer: This page is designed to complement and supplement your lecture notes/textbooks. It is not a complete learning package by itself.*

**SHM**

What’s an oscillation? What is the role of the restoring force in an oscillation? How is a simple harmonic motion different from other oscillations? (xmdemo)

What is a free oscillation? What determines the natural frequency of a SHM? (xmdemo)

**Kinematics of Simple Harmonic Motion**

Use the *x*–*t*, *v*–*t* and *a*–*t* graphs to show that for SHM *a*=-*ω*^{2}*x* . (xmtutor)

Sketch the *a*–*x* and *v*–*x* graphs. Derive the *v*–*x* equation. (xmtutor)

Work out the time taken for an SHM to progress from the equilibrium position to half the amplitude. (xmtutor)

**Dynamics of Simple Harmonic Motion**

Using N2L, derive the formula for the period of a vertical spring-mass system. (xmtutor)

Case Study: Sand on Oscillating Plate (xmtutor)

**WEP of Simple Harmonic Motion**

Sketch the energy-time graphs for a SHM. Work out the formula for KE, PE and TE. (xmtutor)

Sketch the energy-displacement graphs for a SHM. Work out the formula for KE, PE and TE. (xmtutor)

Case study: Sketch the GPE, KE, EPE-displacement graphs for a vertical spring-mass system. (xmtutor)

**Damping**

What’s the difference between underdamped, overdamped and critically damped oscillations? (xmdemo)

Sketch the *x*–*t* graphs for damped oscillations. (xmtutor)

**Resonance **

What is a forced oscillation? (xmdemo)

Sketch a typical resonance graph. (xmtutor)

What effect does damping have on the resonance amplitude? (xmdemo)

Sketch the resonance graphs at different amount of damping. (xmtutor)

**Related Staff**

Barton’s Pendulum

Barton’s Pendulum (Phase Relationship) (Beyond H2 Syllabus)

Fortune Telling Sticks

Tuning Fork Resonance

**Beyond the H2 Syllabus**

Coupled Oscillators

Coupled Inverted Pendulum

Lissajous Figures in the Sand

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