Simple harmonic motion

High school (ages 12+)
Science & Technology

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Step 1 · Read the article

Open the article and read it at the level above. Then answer the questions below in your own words.

https://smallwhale.org/articles/simple-harmonic-motion

Write what each word means, using the article.

Do not copy the article. Write two things you learned, the way you would explain them to a friend.

Answers below are taken from the article’s stored facts, so they match what the student read.

1. What is the governing differential equation?d²x/dt² + ω²x = 0, where ω = √(k/m)
2. What is the related concepts?Damped oscillations, forced oscillations, resonance, and wave phenomena
3. Why does a spring always push back toward its center?The force from a spring is always opposite to how far the spring is stretched or compressed. This rule, called Hooke's Law, says the force is proportional to the distance from the middle, so the spring always pushes back toward the center.
4. How does a pendulum show simple harmonic motion?A pendulum swings like a clock because its swing period stays almost the same even if you swing it a little or a lot. That shows the motion is almost simple harmonic, where the restoring pull of gravity pulls it back toward the lowest point.

Angular Frequency (ω): A measure of how quickly an object oscillates, related to frequency and period.
Phase Constant (φ): Determines the initial position and velocity of the oscillating object at time t=0.
Damping: The gradual dissipation of energy in an oscillating system, causing its amplitude to decrease over time.