SHM Acceleration (a(t) = -ω²x(t) = -ω²A cos(ωt + φ))
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a(t) = -ω²x(t) = -ω²A cos(ωt + φ)
What each symbol means
| Symbol | What it stands for |
|---|---|
| a(t) | Instantaneous acceleration at time t (m/s²) |
| x(t) | Instantaneous displacement (m) |
| ω²A | Maximum acceleration a_max (m/s²) |
When to use this
The defining property of SHM: acceleration is proportional to displacement and directed towards mean position. a_max = ω²A occurs at extreme positions. Acceleration is zero at mean position. Acceleration is π out of phase with displacement. NCERT Eq. 13.11.