A Guide to Physics Problems : Part 1: Mechanics, Relativity, by Sidney B. Cahn, Boris E. Nadgorny, C.N. Yang

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

In order to equip hopeful graduate scholars with the information essential to move the qualifying exam, the authors have assembled and solved ordinary and unique difficulties from significant American universities – Boston college, 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, collage 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 scholar with sufficient details to suppose cozy and assured on the examination. Guide to Physics Problems is released in volumes: this e-book, 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 accrued and provided recommendations to approximately one hundred forty difficulties from the tests at many universities within the usa and one collage in Russia, the Moscow Institute of Physics and know-how. many of the difficulties are particularly effortless, others are fairly difficult; 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 arrange for this significant hurdle of their careers." (R. Shankar, Yale University)

"The booklet of the amount can be of serious support to destiny applicants who needs to go this kind of exam." (J. Robert Schrieffer, Nobelist in Physics, 1972)

"I used to be absolutely inspired … The publication might be worthwhile to scholars who're learning for his or her examinations and to college who're trying to find acceptable problems." (M. L. Cohen, college of California at Berkeley)

"If a pupil is aware the best way to clear up those difficulties, they've got long past a ways towards learning the topic matter." (Martin Olsson, collage of Wisconsin at Madison)

"This booklet turns into an important examine consultant for graduate scholars whereas they organize for his or her Ph.D. exam. it is going to turn into both necessary for the school who write the questions." (G. D. Mahan, collage of Tennessee at Knoxville)

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

Example text

You may disregard the gravitational attraction between the beer can and the space station. a) In what direction and with what velocity relative to the station should the beer can be thrown? b) What is the period, size and shape of the beer can's orbit, relative to the space station? 45 Space Habitat Baseball (Princeton) On Earth a baseball player can hit a ball 120 m by giving it an initial angle of 45° to the horizontal. Take the acceleration due to gravity as Suppose the batter repeats this exercise in a space 'habitat' that has the form of a circular cylinder of radius R = 10 km and has an angular velocity about the axis of the cylinder sufficient to give an apparent gravity of at radius R.

Estimate the magnitude of the centrifugal and Coriolis forces relative to the gravitational force (ignore friction). Take New York and San Francisco to be of equal latitude (approximately 40° North). 11 String Oscillations (Moscow Phys-Tech) The frequency of oscillation of a string depends on its length L, the force applied to its ends T, and the linear mass density Using dimensional analysis, find this dependence. 12 Hovering Helicopter (Moscow Phys-Tech) A helicopter needs a minimum of a 100 hp engine to hover (1 hp = 746 W).

Is the energy conserved? Why? c) Now consider a new situation in which the cylinder, taken to be hollow and of mass M (same radius R), can spin freely as the mass unwinds. 29b). Write down the Lagrangian in terms of the generalized TLFeBOOK PROBLEMS 18 coordinates and Identify two conserved quantities and express them as functions of and Which way does the cylinder spin? 30 Six Uniform Rods (Stony Brook) Six equal uniform rods, fastened at their ends by frictionless pivots, form a regular hexagon and lie on a frictionless surface.

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