College Board-Aligned Original Notes

AP Physics 1: Algebra-Based Unit 7 Topic 1: Defining simple harmonic motion (SHM)

Simple harmonic motion occurs when a restoring force or acceleration is proportional to displacement and directed toward equilibrium.

Unit 7: Oscillations. College Board exam weighting listed for this unit: 5%-8% of multiple-choice exam score.

What to Know

The restoring influence always points toward equilibrium.
Maximum speed occurs at equilibrium, while maximum displacement occurs at the turning points.
Position, velocity, and acceleration change continuously through the cycle.
Always connect this topic back to the larger unit: Oscillations.

Detailed Notes

Defining simple harmonic motion (SHM) belongs to Unit 7: Oscillations. Simple harmonic motion occurs when a restoring force or acceleration is proportional to displacement and directed toward equilibrium. Start by naming the system, choosing axes or a sign convention when needed, and identifying which physical quantity is changing.

Key relationships: The restoring influence always points toward equilibrium. Maximum speed occurs at equilibrium, while maximum displacement occurs at the turning points. Position, velocity, and acceleration change continuously through the cycle.

Model to use: Use a mass-spring system to show displacement, restoring force, velocity, and acceleration at key positions. A strong model should include labels, directions, units, and the reason each relationship applies.

AP-style move: Identify the equilibrium position first, then describe how force and acceleration depend on displacement from it. For free-response work, write the principle first, show the setup, and then interpret the result in the physical context.

Key Vocabulary

Simple harmonic motion

Oscillation caused by a restoring influence proportional to displacement.

Equilibrium position

The position where the restoring force is zero.

Amplitude

The maximum displacement from equilibrium.

Turning point

A position of maximum displacement where speed is momentarily zero.

Restoring acceleration

Acceleration directed back toward equilibrium.

Quick Practice

How would you explain Defining simple harmonic motion (SHM) in one or two AP-style sentences?

Name the concept, apply it to a specific example or source, and explain the reasoning that connects the evidence to your answer.

Official Alignment

Reference and Attribution

AP Physics 1 concept reference: AP Physics 1: Concise Summary Notes by IITian Academy. EduCompanion used this source as a topic checklist and conceptual reference, then rewrote the study notes in original wording.

AP Physics 1: Concise Summary Notes