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Q.

What Is Periodic Motion? Explain with Example

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Detailed Solution

Periodic motion is a type of motion that repeats itself at regular intervals of time. It is a fundamental concept in physics, observed in various natural and artificial systems.

Key Characteristics

  • Repetition: The motion returns to its initial state after a fixed period.
  • Time Period (T): The time taken for one complete cycle.
  • Frequency (f): The number of cycles per second, measured in Hertz (Hz). f = 1/T
  • Amplitude: The maximum displacement from the mean position.

Examples of Periodic Motion

  • Pendulum: A swinging pendulum returns to its starting position after each swing.
  • Tuning Fork: Vibrations of a tuning fork produce sound waves with regular intervals.
  • Earth’s Orbit: The Earth revolves around the sun in a nearly circular path, repeating every year.
  • Spring-Mass System: A mass attached to a spring oscillates back and forth in a regular pattern.

Types of Periodic Motion

  • Simple Harmonic Motion (SHM): A special case where the restoring force is proportional to displacement (e.g., pendulum, spring).
  • Oscillatory Motion: All SHM is oscillatory, but not all oscillatory motion is SHM.

Applications

  • Clocks and Watches: Use periodic motion for timekeeping.
  • Music: Vibrating strings and air columns produce musical notes.
  • Engineering: Periodic motion principles are used in engines, pumps, and other machinery.

Conclusion

Periodic motion is a repeating, predictable movement found throughout nature and technology. Understanding its principles is key to physics, engineering, and many real-world applications.

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