---
title: "AP Physics C: Mechanics Unit 7 Review: Oscillations"
description: "AP Physics C: Mechanics Unit 7 covers Defining Simple Harmonic Motion and Frequency and Period of SHM. Study guides, practice questions, and key terms."
canonical: "https://fiveable.me/ap-physics-c-mechanics/unit-7"
type: "unit"
subject: "AP Physics C: Mechanics"
unit: "Unit 7 – Oscillations"
---

# AP Physics C: Mechanics Unit 7 Review: Oscillations

## Overview

AP Physics C: Mechanics Unit 7, Oscillations, focuses on Defining Simple Harmonic Motion (SHM), Frequency and Period of SHM, Representing and Analyzing SHM, Energy of Simple Harmonic Oscillators, Simple and Physical Pendulums. The main goal is to connect the unit vocabulary and examples to the reasoning AP questions ask you to do.

## AP CED Alignment

This unit hub is organized around AP Course and Exam Description topics, skills, and exam task types when they are available in the source data.
- 7.1: Defining Simple Harmonic Motion (SHM)
- 7.2: Frequency and Period of SHM
- 7.3: Representing and Analyzing SHM
- 7.4: Energy of Simple Harmonic Oscillators
- 7.5: Simple and Physical Pendulums
- Justify or support a claim using evidence from experimental data, physical representations, or physical principles or laws.
- FRQ 1 – Mathematical Routines
- FRQ 2 – Translation Between Representations
- FRQ 3 – Experimental Design
- FRQ 4 – Qualitative/Quantitative Translation

## Topics

- 7.1: Defining Simple Harmonic Motion (SHM): Describe simple harmonic motion.
- 7.2: Frequency and Period of SHM: Describe the frequency and period of an object exhibiting SHM.
- 7.3: Representing and Analyzing SHM: Describe the displacement, velocity, and acceleration of an object exhibiting SHM.
- 7.4: Energy of Simple Harmonic Oscillators: Describe the mechanical energy of a system exhibiting SHM.
- 7.5: Simple and Physical Pendulums: Describe the properties of a physical pendulum.

## Hardest Topics And Analytics

Snapshot: practice snapshot
This snapshot uses Fiveable practice activity to show where students tend to miss questions and which review moves are worth prioritizing first.
- **66% average MCQ accuracy** (Across 2.0k recent Unit 7 multiple-choice attempts.)
- **39% average FRQ score** (Across 4 scored free-response attempts for this unit.)
- **2.0k practice attempts** (MCQ, FRQ, and SAQ activity included in this snapshot.)
- **7.5: Simple and Physical Pendulums**: 47% MCQ miss rate across 332 attempts. Review how Simple and Physical Pendulums shows up in practice questions, especially when prompts ask you to apply the idea in context.
- **7.3: Representing and Analyzing SHM**: 39% MCQ miss rate across 475 attempts. Review how Representing and Analyzing SHM shows up in practice questions, especially when prompts ask you to apply the idea in context.
- **7.1: Defining Simple Harmonic Motion (SHM)**: 30% MCQ miss rate across 496 attempts. Review how Defining Simple Harmonic Motion (SHM) shows up in practice questions, especially when prompts ask you to apply the idea in context.
- **7.2: Frequency and Period of SHM**: 30% MCQ miss rate across 357 attempts. Review how Frequency and Period of SHM shows up in practice questions, especially when prompts ask you to apply the idea in context.

## Review Notes

### 7.1: Defining Simple Harmonic Motion (SHM)

Describe simple harmonic motion.

- **simple harmonic motion (SHM)**: simple harmonic motion (SHM) is a term to connect with Defining Simple Harmonic Motion (SHM) and the AP reasoning in this part of the unit.
- **periodic motion (special case)**: periodic motion (special case) is a term to connect with Defining Simple Harmonic Motion (SHM) and the AP reasoning in this part of the unit.
- **restoring force proportional to displacement**: restoring force proportional to displacement is a term to connect with Defining Simple Harmonic Motion (SHM) and the AP reasoning in this part of the unit.
- **Hooke's law F = -kx**: Hooke's law F = -kx is a term to connect with Defining Simple Harmonic Motion (SHM) and the AP reasoning in this part of the unit.

**Checkpoint:** Check that you can explain how Defining Simple Harmonic Motion (SHM) connects to an AP-style question, not just define the term.

### 7.2: Frequency and Period of SHM

Describe the frequency and period of an object exhibiting SHM.

- **simple harmonic motion (SHM)**: simple harmonic motion (SHM) is a term to connect with Frequency and Period of SHM and the AP reasoning in this part of the unit.
- **angular frequency ω**: angular frequency ω is a term to connect with Frequency and Period of SHM and the AP reasoning in this part of the unit.
- **period T**: period T is a term to connect with Frequency and Period of SHM and the AP reasoning in this part of the unit.
- **frequency f**: frequency f is a term to connect with Frequency and Period of SHM and the AP reasoning in this part of the unit.

**Checkpoint:** Check that you can explain how Frequency and Period of SHM connects to an AP-style question, not just define the term.

### 7.3: Representing and Analyzing SHM

Describe the displacement, velocity, and acceleration of an object exhibiting SHM.

- **simple harmonic motion (SHM)**: simple harmonic motion (SHM) is a term to connect with Representing and Analyzing SHM and the AP reasoning in this part of the unit.
- **displacement x = A cos(2π f t)**: displacement x = A cos(2π f t) is a term to connect with Representing and Analyzing SHM and the AP reasoning in this part of the unit.
- **displacement x = A sin(2π f t)**: displacement x = A sin(2π f t) is a term to connect with Representing and Analyzing SHM and the AP reasoning in this part of the unit.
- **angular frequency ω**: angular frequency ω is a term to connect with Representing and Analyzing SHM and the AP reasoning in this part of the unit.

**Checkpoint:** Check that you can explain how Representing and Analyzing SHM connects to an AP-style question, not just define the term.

### 7.4: Energy of Simple Harmonic Oscillators

Describe the mechanical energy of a system exhibiting SHM.

- **total mechanical energy of a simple harmonic oscillator**: total mechanical energy of a simple harmonic oscillator is a term to connect with Energy of Simple Harmonic Oscillators and the AP reasoning in this part of the unit.
- **kinetic energy of spring-mass system K = 1/2 m v^2**: kinetic energy of spring-mass system K = 1/2 m v^2 is a term to connect with Energy of Simple Harmonic Oscillators and the AP reasoning in this part of the unit.
- **potential energy of a spring U = 1/2 k x^2**: potential energy of a spring U = 1/2 k x^2 is a term to connect with Energy of Simple Harmonic Oscillators and the AP reasoning in this part of the unit.
- **Hooke's law F = −k x**: Hooke's law F = −k x is a term to connect with Energy of Simple Harmonic Oscillators and the AP reasoning in this part of the unit.

**Checkpoint:** Check that you can explain how Energy of Simple Harmonic Oscillators connects to an AP-style question, not just define the term.

### 7.5: Simple and Physical Pendulums

Describe the properties of a physical pendulum.

- **physical pendulum**: physical pendulum is a term to connect with Simple and Physical Pendulums and the AP reasoning in this part of the unit.
- **simple pendulum**: simple pendulum is a term to connect with Simple and Physical Pendulums and the AP reasoning in this part of the unit.
- **torsion pendulum**: torsion pendulum is a term to connect with Simple and Physical Pendulums and the AP reasoning in this part of the unit.
- **moment of inertia about pivot (I)**: moment of inertia about pivot (I) is a term to connect with Simple and Physical Pendulums and the AP reasoning in this part of the unit.

**Checkpoint:** Check that you can explain how Simple and Physical Pendulums connects to an AP-style question, not just define the term.

## Study Guides

- [7.1 Defining Simple Harmonic Motion (SHM)](/ap-physics-c-mechanics/unit-7/1-defining-simple-harmonic-motion-shm/study-guide/0XdktX7mCpAcsQF4)
- [7.2 Frequency and Period of SHM](/ap-physics-c-mechanics/unit-7/2-frequency-and-period-of-shm/study-guide/ZP4XBQORYFR7bHpw)
- [7.3 Representing and Analyzing SHM](/ap-physics-c-mechanics/unit-7/3-representing-and-analyzing-shm/study-guide/nHLSGDEgw3L81KKh)
- [7.4 Energy of Simple Harmonic Oscillators](/ap-physics-c-mechanics/unit-7/4-energy-of-simple-harmonic-oscillators/study-guide/3UvewOScTLW9RUqd)
- [7.5 Simple and Physical Pendulums](/ap-physics-c-mechanics/unit-7/5-simple-and-physical-pendulums/study-guide/m0lcXe33VLYhg8EA)

## Practice Preview

### Multiple-choice practice

- **[AP-style MCQ 1](/ap-physics-c-mechanics/guided-practice?questionId=8979ed3a-02dc-4f7e-b067-c1f3d18b8e87)**: Justify or support a claim using evidence from experimental data, physical representations, or physical principles or laws.
- **[AP-style MCQ 2](/ap-physics-c-mechanics/guided-practice?questionId=61308325-cf10-4a8e-b2a2-10511f007521)**: Justify or support a claim using evidence from experimental data, physical representations, or physical principles or laws.

### FRQ practice

- **[FRQ 1 – Mathematical Routines](/ap-physics-c-mechanics/frq-practice)**
- **[FRQ 2 – Translation Between Representations](/ap-physics-c-mechanics/frq-practice)**
- **[FRQ 3 – Experimental Design](/ap-physics-c-mechanics/frq-practice)**
- **[FRQ 4 – Qualitative/Quantitative Translation](/ap-physics-c-mechanics/frq-practice)**

## Key Terms

- **simple harmonic motion (SHM)**: simple harmonic motion (SHM) is worth reviewing because it connects directly to Unit 7, Oscillations and can help you answer AP-style questions with more specific evidence.
- **periodic motion (special case)**: periodic motion (special case) is worth reviewing because it connects directly to Unit 7, Oscillations and can help you answer AP-style questions with more specific evidence.
- **restoring force proportional to displacement**: restoring force proportional to displacement is worth reviewing because it connects directly to Unit 7, Oscillations and can help you answer AP-style questions with more specific evidence.
- **Hooke's law F = -kx**: Hooke's law F = -kx is worth reviewing because it connects directly to Unit 7, Oscillations and can help you answer AP-style questions with more specific evidence.
- **mass-spring system**: mass-spring system is worth reviewing because it connects directly to Unit 7, Oscillations and can help you answer AP-style questions with more specific evidence.
- **m a_x = -k Δx**: m a_x = -k Δx is worth reviewing because it connects directly to Unit 7, Oscillations and can help you answer AP-style questions with more specific evidence.
- **linear second-order ODE d^2x/dt^2 + (k/m)x = 0**: linear second-order ODE d^2x/dt^2 + (k/m)x = 0 is worth reviewing because it connects directly to Unit 7, Oscillations and can help you answer AP-style questions with more specific evidence.
- **sinusoidal solution x(t)=A cos(ωt+φ)**: sinusoidal solution x(t)=A cos(ωt+φ) is worth reviewing because it connects directly to Unit 7, Oscillations and can help you answer AP-style questions with more specific evidence.
- **angular frequency ω = √(k/m)**: angular frequency ω = √(k/m) is worth reviewing because it connects directly to Unit 7, Oscillations and can help you answer AP-style questions with more specific evidence.
- **period T = 2π√(m/k)**: period T = 2π√(m/k) is worth reviewing because it connects directly to Unit 7, Oscillations and can help you answer AP-style questions with more specific evidence.

## Common Mistakes

- **Only memorizing definitions**: Definitions help, but AP questions usually ask you to apply terms to a new example, source, data set, or prompt.
- **Skipping the task verb**: Words like explain, compare, identify, justify, and calculate tell you what kind of answer earns credit.
- **Reviewing resources out of order**: Start with the big picture, then move into the topic or skill guide that matches the exact thing you missed.

## Exam Connections

- **Multiple-choice practice**: Look for wording that asks you to apply the concept to a new example, graph, passage, source, image, or scenario.
- **Free-response practice**: Use specific course vocabulary, answer the task verb directly, and connect evidence or calculations back to the claim you are making.
- **Final review**: Before the exam, use this page to decide whether Unit 7, Oscillations needs a quick skim, targeted practice, or a deeper guide review.

## Final Review Checklist

- **Know the main ideas**: Be able to explain Defining Simple Harmonic Motion (SHM), Frequency and Period of SHM, Representing and Analyzing SHM, Energy of Simple Harmonic Oscillators, Simple and Physical Pendulums without copying a definition from notes.
- **Use the vocabulary correctly**: Match each key term to an example, a process, a document, a graph, a work, or a scenario from the course.
- **Practice the AP task**: Answer a few questions or prompts that require application, not just recall.
- **Review mistakes**: For each missed question, identify whether the issue was content, wording, evidence, calculation, or timing.

## Study Plan

- **First pass**: Read the at-a-glance summary and review notes. Mark any topic, skill, or term that feels uncertain.
- **Practice pass**: Use topic cards, practice questions, or a short prompt to test whether you can apply the idea without notes.
- **Fix pass**: Return to the guide or key term that explains each mistake, then rewrite the correct reasoning in one or two sentences.
- **Final check**: Use the checklist to confirm you can explain the main ideas, use vocabulary correctly, and handle AP-style wording.

## More Ways To Review

- [Topic study guides](/ap-physics-c-mechanics/unit-7#topics)
- [Practice questions](/ap-physics-c-mechanics/guided-practice?unitSlug=unit-7)
- [FRQ practice](/ap-physics-c-mechanics/frq-practice)
- [Key terms](/ap-physics-c-mechanics/key-terms)

## FAQs

### What topics are covered in AP Physics Mech Unit 7?

AP Physics C: Mechanics Unit 7 covers 5 topics: Defining Simple Harmonic Motion (SHM), Frequency and Period of SHM, Representing and Analyzing SHM, Energy of Simple Harmonic Oscillators, and Simple and Physical Pendulums. Together these topics build from the restoring force definition of SHM through energy analysis and pendulum systems. See the full topic breakdown at [/ap-physics-c-mechanics/unit-7](/ap-physics-c-mechanics/unit-7).

### How much of the AP Physics Mech exam is Unit 7?

Unit 7: Oscillations makes up 10-15% of the AP Physics C: Mechanics exam, making it one of the more heavily tested units. That weight covers everything from defining simple harmonic motion and analyzing displacement, velocity, and acceleration, to the energy of oscillators and the behavior of simple and physical pendulums.

### What's on the AP Physics Mech Unit 7 progress check (MCQ and FRQ)?

The AP Physics C: Mechanics Unit 7 progress check in AP Classroom includes both MCQ and FRQ parts drawn from all five unit topics: Defining SHM, Frequency and Period of SHM, Representing and Analyzing SHM, Energy of Simple Harmonic Oscillators, and Simple and Physical Pendulums. MCQ questions typically test conceptual understanding and equation application, while the FRQ portion asks you to derive expressions, sketch graphs of displacement or energy, and analyze pendulum systems. For matched progress check practice, visit [/ap-physics-c-mechanics/unit-7](/ap-physics-c-mechanics/unit-7).

### How do I practice AP Physics Mech Unit 7 FRQs?

The best way to practice Unit 7 FRQs is to focus on the three topics that generate the most free-response questions: Representing and Analyzing SHM, Energy of Simple Harmonic Oscillators, and Simple and Physical Pendulums. FRQs in this unit typically ask you to derive equations of motion using Newton's second law, sketch or interpret displacement and energy graphs over time, and compare simple versus physical pendulum periods. Start by writing out full solutions by hand, checking that your calculus steps are shown clearly, since AP Physics C FRQs award method points. Find practice problems and worked examples at [/ap-physics-c-mechanics/unit-7](/ap-physics-c-mechanics/unit-7).

### Where can I find AP Physics Mech Unit 7 practice questions?

You can find AP Physics C: Mechanics Unit 7 practice questions, including multiple-choice and practice test sets, at [/ap-physics-c-mechanics/unit-7](/ap-physics-c-mechanics/unit-7). That page organizes MCQ and FRQ practice by topic, covering Simple Harmonic Motion, frequency and period, energy of oscillators, and pendulums, so you can target whichever area needs the most work before your exam.

### How should I study AP Physics Mech Unit 7?

Start with Topic 7.1 and make sure you can state the SHM condition precisely: the restoring force must be proportional to displacement. From there, work through frequency and period relationships in Topic 7.2, then move to Topic 7.3 where you practice writing and solving the differential equation of motion. Topic 7.4 on energy is high-yield, so practice converting between kinetic and potential energy at different points in the oscillation cycle. Finish with Topic 7.5 by deriving the period formulas for both simple and physical pendulums and knowing when each applies. A few concrete habits that help: draw a free-body diagram before every problem, practice sketching x(t), v(t), and a(t) graphs from scratch, and do at least one full FRQ under timed conditions. Visit [/ap-physics-c-mechanics/unit-7](/ap-physics-c-mechanics/unit-7) for topic guides and practice sets organized in this order.

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