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Oscillations

CIE-style questions assess simple harmonic motion, equations and graphs, energy, damping and resonance.

Objective question 1

The defining equation for simple harmonic motion is:

Objective question 2

At equilibrium in undamped SHM:

Objective question 3

The period of a simple pendulum at small amplitude is:

Objective question 4

Critical damping produces:

Objective question 5

Resonance occurs when driving frequency is close to the:

Structured question 1

An oscillator has frequency 4.0 Hz. Calculate its angular frequency.

Structured question 2

For amplitude 0.060 m and angular frequency 8.0 rad s⁻¹, calculate maximum speed.

Structured question 3

A spring has k = 50 N m⁻¹ and amplitude 0.12 m. Calculate total SHM energy.