Oscillations and Elasticity



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Lectures

  • Lecture 01. [Graphical Representation].
  • Lecture 02. [Mechanics of SHM].
  • Lecture 03. [Spring, Pendulum, Electrical Systems].
  • Lecture 04. [Free Damped Motion].
  • Lecture 05. [Quality Factor]
  • Lecture 06. [Forced Damped Motion; Resonance].
  • Lecture 07. [Laws of Elasticity]
  • Lecture 08. [Bending Beam, Twirling Wire]

Homework

Topics

  • Simple Harmonic Motion: Differential equation of SHM and its solutions. Kinetic and Potential Energy, Total Energy and their time averages. Damped oscillations. Forced Oscillations with harmonic forces. Compound pendulum.
  • Elasticity:
    • (a) Hooke's law - Stress-strain diagram. Elastic moduli-relation between elastic constants - Poisson's Ratio-Expression for Poisson's ratio in terms of elastic constants.
    • (b) Twisting couple on a cylinder - Determination of Rigidity modulus by static torsion. Torsional pendulum.
    • (c) Bending of beams.
    • (d) Work done in stretching and work done in twisting a wire.

Study Materials

  • An Outline of Physics (Part-I) - M. Daskhan.
  • The Physics of Waves and Oscillations - N.K.Bajaj.
  • Waves, Berkeley Physics Course (Vol. 3) - F.S. Crawford Jr.
  • The Physics of Vibrations and Waves - H. J. Pain.
  • Vibrations and waves - A. P. French.
  • A Treatise on General Properties of Matter - Sengupta Chatterjee.
  • General Properties of Matter - D.S. Mathur.