Harmonic motion //Sine Function #physics #science #wavemotion #shorts

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Harmonic motion refers to a type of periodic motion where an object oscillates back and forth due to a restoring force proportional to its displacement. Key points include:

1. Restoring Force: The motion is driven by a force that attempts to return the object to its equilibrium position, such as in a spring (Hooke's law).

2. Simple Harmonic Motion (SHM): A special case of harmonic motion where the restoring force is directly proportional to displacement (e.g., ) and acts in the opposite direction.

3. Periodicity: The motion repeats itself at regular time intervals, characterized by a period () and frequency ().

4. Energy Exchange: There is a continuous exchange between kinetic and potential energy during the motion.

5. Examples: Includes the motion of pendulums, springs, vibrating strings, and molecules in a lattice.

6. Mathematical Description: Often modeled as , where is amplitude, is angular frequency, and is phase angle.

7. Types:

Simple Harmonic Motion (ideal case)

Damped Harmonic Motion (with energy loss)

Forced Harmonic Motion (driven by an external force).

8. Applications: Found in physics, engineering, music, and many natural phenomena.

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