By Sidney B. Cahn, Boris E. Nadgorny, C.N. Yang

ISBN-10: 0306446790

ISBN-13: 9780306446795

ISBN-10: 0306484005

ISBN-13: 9780306484001

In order to equip hopeful graduate scholars with the data essential to go the qualifying exam, the authors have assembled and solved general and unique difficulties from significant American universities – Boston collage, collage of Chicago, college of Colorado at Boulder, Columbia, college of Maryland, collage of Michigan, Michigan country, Michigan Tech, MIT, Princeton, Rutgers, Stanford, Stony Brook, college of Wisconsin at Madison – and Moscow Institute of Physics and expertise. quite a lot of fabric is roofed and comparisons are made among comparable difficulties of other faculties to supply the coed with sufficient info to think cozy and assured on the examination. Guide to Physics Problems is released in volumes: this ebook, Part 1, covers Mechanics, Relativity and Electrodynamics; Part 2 covers Thermodynamics, Statistical Mechanics and Quantum Mechanics.

Praise for A advisor to Physics difficulties: half 1: Mechanics, Relativity, and Electrodynamics:

"Sidney Cahn and Boris Nadgorny have energetically gathered and provided strategies to approximately one hundred forty difficulties from the tests at many universities within the usa and one college in Russia, the Moscow Institute of Physics and know-how. many of the difficulties are particularly effortless, others are fairly tricky; a few are regimen, others ingenious." (From the Foreword by means of C. N. Yang, Nobelist in Physics, 1957)

"Generations of graduate scholars may be thankful for its lifestyles as they organize for this significant hurdle of their careers." (R. Shankar, Yale University)

"The e-book of the quantity could be of serious support to destiny applicants who needs to move this sort of exam." (J. Robert Schrieffer, Nobelist in Physics, 1972)

"I was once definitely inspired … The publication should be worthwhile to scholars who're learning for his or her examinations and to college who're looking for applicable problems." (M. L. Cohen, collage of California at Berkeley)

"If a scholar is familiar with the right way to remedy those difficulties, they've got long gone far towards learning the topic matter." (Martin Olsson, collage of Wisconsin at Madison)

"This publication turns into an important learn consultant for graduate scholars whereas they arrange for his or her Ph.D. exam. it's going to develop into both beneficial for the school who write the questions." (G. D. Mahan, college of Tennessee at Knoxville)

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Extra resources for A Guide to Physics Problems : Part 1: Mechanics, Relativity, and Electrodynamics (The Language of Science)

Example text

46). TLFeBOOK 28 PROBLEMS a) Derive from first principles the wave equation for small transverse disturbances in the string. b) Determine the set of possible solutions for the given boundary conditions and state the allowed frequencies. c) A small mass is placed a distance from one end of the string. Determine the first-order correction to the frequencies of the modes found in (b). 47 Shallow Water Waves (Princeton (a,b)) Water waves travel on the surface of a large lake of depth The lake has a perfectly smooth bottom and the waves are propagating purely in the direction (The wave fronts are straight lines parallel to the axis.

The ring is attached by means of massless spokes to a vertical axis, around which it can rotate without friction in a horizontal plane. 50). Take as variables the angles and of CH and CP with the axis. TLFeBOOK 31 MECHANICS a) Write the Lagrangian and the Hamiltonian, and rewrite them in terms of the variables b) Find an integral of motion other than the energy, and show that its Poisson bracket with is zero. 51 Particle in Magnetic Field (Stony Brook) a) Give a relationship between Hamilton’s equations under a canonical transformation.

The orientation of the satellite relative to the direction toward the Earth is measured by angle a) Determine the value of for the stable orientation of the satellite. b) Show that the angular frequency of small-angle oscillations of the satellite about its stable orientation is times the orbital angular velocity of the satellite. 18 Yukawa Force Orbit (Stony Brook) A particle of mass moves in a circle of radius R under the influence of a central attractive force a) Determine the conditions on the constant such that the circular motion will be stable.

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A Guide to Physics Problems : Part 1: Mechanics, Relativity, and Electrodynamics (The Language of Science) by Sidney B. Cahn, Boris E. Nadgorny, C.N. Yang

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