Simple Harmonic Motion
Telangana Open School (TOSS) · Class 12 · Physics
Quick revision notes for Simple Harmonic Motion — Telangana Open School (TOSS) Class 12 Physics. Key concepts, formulas, and definitions for last-minute revision.
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Key Topics to Revise
Periodic and Oscillatory Motion
- Periodic motion repeats after equal intervals of time (e.g., Earth's orbit).
- Oscillatory motion is a to-and-fro motion about a mean position (e.g., pendulum).
- All oscillatory motions are periodic, but not all periodic motions are oscillatory (e.g., circular motion).
Simple Harmonic Motion (SHM)
- SHM occurs when acceleration is proportional to displacement and opposite in direction: a ∝ -x.
- The general equation of SHM is y = A sin(ωt + φ) or y = A cos(ωt + φ).
- SHM can be visualized as the projection of uniform circular motion on a diameter.
Key Terms in SHM
- Amplitude (A): Maximum displacement from mean position.
- Time Period (T): Time for one complete oscillation.
- Frequency (f): Number of oscillations per second, f = 1/T.
Examples of SHM
- Spring-mass system: Horizontal and vertical oscillations follow SHM.
- Simple pendulum: For small angles, motion is approximately SHM.
- Time period of spring-mass system: T = 2π√(m/k).
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