YOGI VEMANA UNIVERSITY: KADAPA PART II -PAPER – I

PHYSICS (WM)

CODE: 16140

MECHANICS, WAVES AND OSCILLATIONS (With Mathematics)

Unit – I 1. Vector Analysis Scalar and vector fields, gradient of a scalar field and its physical significance. Divergence and curl of a vector field and related problems. 2. Mechanics of Particles Laws of motion, motion of variable mass system, motion of a rocket, conservation of energy and momentum. Collisions in two and three dimensions, concept of impact parameter, scattering cross-section, Rutherford scattering 3. Mechanics of rigid bodiesDefinition of Rigid body, rotational kinematic relations, equation of motion for a rotating body, angular momentum and inertial tensor. Eulers equation, precession of a top, Gyroscope, precession of the equinoxes Unit – II 4 Mechanics of continuous media Elastic constants of isotropic solids and their relation, Classification of beams, types of bending, point load, distributed load, shearing force and bending moment, sign conventions. 5 Central forces(12) Central forces – definition and examples, conservative nature of central forces, conservative force as a negative gradient of potential energy, equation of motion under a central force, gravitational potential and gravitational field, motion under inverse square law, derivation of Kepler’s laws, Coriolis force and its expressions. 6 Special theory of relativity Galilean relativity, absolute frames, Michelson-Morley experiment, Postulates of special theory of relativity. Lorentz transformation, time dilation, length contraction, addition of velocities, mass-energy relation. Concept of four vector formalism. Unit – III 7 Fundamentals of vibrations Simple harmonic oscillator, and solution of the differential equation– Physical characteristics of SHM, torsion pendulum, - measurements of rigidity modulus , compound pendulum, measurement of ‘g’, combination of two mutually perpendicular simple harmonic vibrations of same frequency and different frequencies, Lissajous figures 8 Damped and forced oscillations Damped harmonic oscillator, solution of the differential equation of damped oscillator. Energy considerations, comparison with undamped harmonic oscillator,

logarithmic decrement, relaxation time, quality factor, differential equation of forced oscillator and its solution, amplitude resonance. 9 Complex vibrations Fourier theorem and evaluation of the Fourier coefficients, analysis of periodic wave functions-square wave, triangular wave, saw-tooth wave Unit – IV 10 Vibrations of bars Longitudinal vibrations in bars- wave equation and its general solution. Special cases (i) bar fixed at both ends ii) bar fixed at the mid point iii) bar free at both ends iv) bar fixed at one end. Tuning fork. 11 Vibrating Strings Transverse wave propagation along a stretched string, general solution of wave equation and its significance, modes of vibration of stretched string clamped at both ends, overtones, energy transport, transverse impedance 12.

Ultrasonics Ultrasonics, properties of ultrasonic waves, production of ultrasonics by piezoelectric and magnetostriction methods, detection of ultrasonics, determination of wavelength of ultrasonic waves. Applications of ultrasonic waves.

NOTE:

Problems should be solved at the end of every chapter of all units. Textbooks

1. Berkeley Physics Course. Vol.1, Mechanics by C. Kittel, W. Knight, M.A. Ruderman Tata-McGraw hill Company Edition 2008. 2. Fundamentals of Physics. Halliday/Resnick/Walker Wiley India Edition 2007. 3. Waves and Oscillations. S. Badami, V. Balasubramanian and K. Rama Reddy Orient Longman. 4. First Year Physics - Telugu Academy. 5. Mechanics of Particles, Waves and Oscillations. Anwar Kamal, New Age International. 6. College Physics-I. T. Bhimasankaram and G. Prasad. Himalaya Publishing House. 7. Introduction to Physics for Scientists and Engineers. F.J. Ruche. McGraw Hill. 8. Waves and Oscillations. N. Subramaniyam and Brijlal Vikas Publishing House Private Limited. Reference Books 1. Fundamentals of Physics by Alan Giambattista et al Tata-McGraw Hill Company Edition, 2008. 2. University Physics by Young and Freeman, Pearson Education, Edition 2005. 3. Sears and Zemansky’s University Physics by Hugh D. Young, Roger A. Freedman Pearson Education Eleventh Edition. 4. An introduction to Mechanics by Daniel Kleppner & Robert Kolenkow. The McGraw Hill Companies. 5. Mechanics. Hans & Puri. TMH Publications. 6. Engineering Physics. R.K. Gaur & S.L. Gupta. Dhanpat Rai Publications.

Syllabus-PHYSICS(WM) Paper I.pdf

special theory of relativity. Lorentz transformation, time dilation, length contraction,. addition of velocities, mass-energy relation. Concept of four vector formalism.
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