Oscillations and Elasticity

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Lectures

  • Lecture 1. [Graphical Representation].
  • Lecture 2. [Mechanics of SHM].
  • Lecture 3. [Spring, Pendulum, Electrical Systems].
  • Lecture 4. [Free Damped Motion].
  • Lecture 5. [Quality Factor]
  • Lecture 6. [Forced Damped Motion; Resonance].
  • Lecture 7. [Laws of Elasticity]
  • Lecture 8. [Bending Beam, Cantilever]
  • Lecture 9. [Twirling Wire]

Homework

Topics

  1. 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.
  2. Elasticity:
    • Hooke's law, elastic moduli, relation between elastic constants, Poisson's Ratio, Expression for Poisson's ratio in terms of elastic constants.
    • Twisting couple on a cylinder - Determination of Rigidity modulus by static torsion. Torsional pendulum.
    • Bending of beams, Cantilever.
    • Work done in stretching and work done in twisting a wire.

Study Materials

  1. An Outline of Physics (Part-I) - C.R. DasGupta / M. Daskhan.
  2. The Physics of Waves and Oscillations - N.K. Bajaj.
  3. Waves, Berkeley Physics Course (Vol. 3) - F.S. Crawford Jr.
  4. The Physics of Vibrations and Waves - H. J. Pain.
  5. Vibrations and waves - A. P. French.
  6. A Treatise on General Properties of Matter - Sengupta Chatterjee.
  7. General Properties of Matter - D.S. Mathur.
  8. Feynman Lectures in Physics (Vol.1 & 2).