📚 Topic Summary
Simple Harmonic Motion (SHM) is a special type of periodic motion where the restoring force is directly proportional to the displacement, and acts in the opposite direction. This results in oscillations around an equilibrium position. Understanding displacement, velocity, and acceleration as functions of time is crucial for solving SHM problems. Let's dive in!
🧠 Part A: Vocabulary
Match the following terms with their correct definitions:
- Term: Amplitude
- Term: Period
- Term: Frequency
- Term: Angular Frequency
- Term: Displacement
Definitions:
- The maximum displacement from the equilibrium position.
- The time required for one complete oscillation.
- The number of oscillations per unit time.
- A measure of how rapidly the oscillation occurs, related to frequency.
- The distance of the oscillating object from its equilibrium position at any given time.
Match the number to the definition
✍️ Part B: Fill in the Blanks
Complete the paragraph with the correct words. Choose from: equilibrium, maximum, cosine, sine, velocity, acceleration, displacement.
In SHM, the __________ is the distance from the __________ position. The __________ is the rate of change of displacement, and the __________ is the rate of change of velocity. When displacement is at its __________, velocity is zero. The displacement can be modeled using __________ or __________ functions.
🤔 Part C: Critical Thinking
Imagine a pendulum swinging. How does the energy of the pendulum change as it moves from its highest point to its lowest point, and how does this relate to its velocity and acceleration?