Oscillations: Simple Harmonic Motion

Science > Physics > Oscillations: Simple Harmonic Motion

Oscillations

  • The Concept of oscillatory Motion and its Terminology
  • Harmonic and Non-harmonic Oscillations
  • Periodic Oscillations
  • Fourier Theorem
  • The Expression for Displacement Using Fourier Theorem
  • Phase and Initial Phase of S.H.M.

Theory of Simple Harmonic Motion

  • Linear Simple Harmonic Motion and its Terminology
  • Differential Equation of Linear Simple Harmonic Motion
  • Expressions for Displacement, Velocity and Acceleration of Particle performing S.H.M.
  • The phase of S.H.M.
  • Period of S.H.M.
  • Uniform Circular Motion as S.H.M.

Numerical Problems – 01

  • To calculate Displacement, Phase, Initial Phase

Numerical Problems – 02

  • To Find maximum Velocity and Maximum Acceleration

Graphical Representation of S.H.M.

  • Particle Starting from Mean Position
  • Particle Starting from Extreme Position
  • Conclusions

The Energy of Particle Performing S.H.M.

  • The Expression for Kinetic Energy
  • The Expression for Potential Energy
  • The Expression for Total Energy
  • The Expression for Total Energy in Different Formats

Numerical Problems on Energy of Particle in S.H.M.

  • Calculation of Energies at Different Points

Composition of Two S.H.M.s

  • The Expression for Resultant Amplitude
  • The Expression for Resultant Initial Phase
  • Special Cases

Simple Pendulum

  • The Motion of Bob of Simple Pendulum as S.H.M.
  • Period of Vibration of Simple Pendulum
  • Laws of Simple Pendulum
  • Seconds Pendulum

Numerical Problems on Simple Pendulum

  • Calculation of period and length of the pendulum
  • Calculate the Tension in the String and Semivertical Angle

Oscillations Due to Vertical Spring

  • Oscillation of Mass Due to Vertical spring
  • Numerical Problems

Upcoming Topics

  • Oscillations Due to Horizontal Spring
  • Oscillation of Liquid Column in U-Tube
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  • Oscillation of Floating Cylinder
  • Types of Oscillations

Science > Physics > Oscillations: Simple Harmonic Motion