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13. OSCILLATIONS

The chapter explores oscillations, defining periodic and oscillatory motions, and detailing the principles behind simple harmonic motion (SHM), including its characteristics and mathematical representations. It also discusses the connections between SHM and uniform circular motion. Finally, the dynamics of a simple pendulum and the energies involved in SHM are examined.

Sections

  • 13

    Oscillations

    This section introduces oscillatory motion, emphasizing its importance in various physical phenomena and characteristics like period, frequency, and amplitude.

    Learning Practice

  • 13.1

    Introduction

    This section introduces the concept of oscillatory motion, distinguishing it from various other types of motion.

    Learning Practice

  • 13.2

    Periodic And Oscillatory Motions

    This section introduces periodic and oscillatory motions, their characteristics, and foundational concepts such as period and frequency.

    Learning Practice

  • 13.2.1

    Period And Frequency

    This section discusses the concepts of period and frequency in relation to periodic motion, defining key terms and relationships between them.

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  • 13.2.2

    Displacement

    Displacement in oscillatory motion refers to the change in position of a particle over time, encompassing various physical properties.

    Learning Practice

  • 13.3

    Simple Harmonic Motion

    Simple Harmonic Motion (SHM) describes a periodic oscillation where the displacement of a particle varies sinusoidally with time.

    Learning Practice

  • 13.4

    Simple Harmonic Motion And Uniform Circular Motion

    This section explains how simple harmonic motion (SHM) can be visualized as the projection of uniform circular motion onto a diameter.

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  • 13.5

    Velocity And Acceleration In Simple Harmonic Motion

    This section covers the relationships between velocity and acceleration in simple harmonic motion (SHM), highlighting how both quantities vary with time and their significance in describing the motion.

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  • 13.6

    Force Law For Simple Harmonic Motion

    This section discusses the force law governing simple harmonic motion, highlighting the relationship between force, mass, displacement, and acceleration.

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  • 13.7

    Energy In Simple Harmonic Motion

    This section covers the kinetic and potential energy variations of a particle undergoing simple harmonic motion (SHM), as well as the total mechanical energy involved.

    Learning Practice

  • 13.8

    The Simple Pendulum

    The simple pendulum exhibits periodic motion characterized by its swinging motion about a mean position, which can be described through the principles of simple harmonic motion.

    Learning Practice

  • 13.9

    Summary

    This section explains periodic motion, emphasized by simple harmonic motion (SHM), including its key equations and principles.

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  • 13.10

    Points To Ponder

    This section discusses key concepts of periodic motion, highlighting specific conditions that define simple harmonic motion and its characteristics.

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  • 13.11

    Exercises

    This section contains exercises focusing on the concepts of oscillatory motion, periodic motion, and simple harmonic motion.

    Learning Practice

References

NCERT Study Material

Class Notes

Memorization

What we have learnt

  • Periodic motion occurs when...
  • Simple harmonic motion is c...
  • The total mechanical energy...

Final Test

Revision Tests

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