Simple harmonic motion quiz for AP Physics C: 10 questions with answers

by aicko
28 October 202628 October 2026

Quick answer: Simple harmonic motion obeys d²x/dt² = −ω²x, with solution x = A cos(ωt + φ). This AP Physics C quiz checks simple harmonic motion with 10 multiple-choice questions and instant feedback; every answer comes with a short explanation.

Simple harmonic motion quiz for AP Physics C: 10 questions with answers

This simple harmonic motion quiz for AP Physics C has quick multiple-choice questions with instant feedback. Need a refresher first? Read the lesson or do the worksheet on simple harmonic motion.

Ten multiple-choice questions on oscillations and the physical pendulum. Choose one answer and read the explanation, which also names the usual mistake.

Level: AP Physics C (Mechanics and E&M, calculus-based) · Curriculum: AP PC:M Unit 7

Contents

Simple harmonic motion quiz: the questions

Which equation defines simple harmonic motion?

A block of mass m on a spring k has angular frequency

At the equilibrium position of an oscillating spring, which statement is true?

The mass of a block on a spring is quadrupled. The period is

What is the maximum speed of an oscillator with amplitude A and angular frequency ω?

For a physical pendulum with small angles, the period is

Total energy of a spring oscillator with amplitude A is

A pendulum clock is moved to a place with weaker gravity. The clock runs

A uniform rod of length L swings about one end. Its moment of inertia about the pivot is

The amplitude A and phase φ of an oscillator are determined by

Differential equation of SHM? — d²x/dt² = −ω²x

Solution of SHM equation? — x = A cos(ωt + φ)

Angular frequency of a spring? — ω = √(k/m)

Maximum speed in SHM? — Aω

Maximum acceleration in SHM? — Aω²

Total energy of a spring oscillator? — ½kA²

Period in terms of ω? — T = 2π/ω

Physical pendulum period? — 2π√(I / (mgd))

Moment of inertia of a rod about its end? — ⅓ML²

Small-angle limit for a pendulum? — About 10°

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