Displacement in SHM

📊 intermediate

$$x = A \cos(\omega t + \phi)$$

Position of an oscillating mass at any time $t$.

Variables & Units

$\omega$

Angular frequency

Unit: rad/s

$A$

Amplitude

Unit: Meter ($m$)

$\phi$

Phase constant

Unit: Radians

Key Information

📐 Derived From

Solving the differential equation $d^2x/dt^2 = -\omega^2 x$.

💡 Example

Position of a spring-mass system after $2$ seconds.

🔧 Applications

Vibration analysis and music theory.

⚠️ Constraints

No damping.

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