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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

I used this ebook to move my classical physics quals at caltech. See my assessment of Cahn's quantum challenge e-book for info, and why i believe this can be greater than Yung-kuo.
The distinction with the classical one is that there have been a number of suggestions I needed to examine that weren't quite within the publication. total although, I nonetheless notion that this was once a good choice of difficulties. If I had simply performed the issues during this booklet and not anything else, I most likely nonetheless could have passed.

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

Example text

46). 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.

Combine the equations so as to produce one second order differential equation for as a function of time. f) If and independent of time, calculate the velocity (magnitude and direction). g) If at and calculate the maximum speed at later times. 25). 26 Mass Orbiting on Table (Stony Brook, Princeton, Maryland, Michigan) A particle of mass M is constrained to move on a horizontal plane. A second particle, of mass is constrained to a vertical line. 26). The motion is frictionless. 16 PROBLEMS a) Find the Lagrangian of the system and derive the equations of motion.

Obviously, together they can move the dresser; however, each of them insists on his own way of moving the darn thing, and they cannot agree. Show that by using his own method, each of them can move the dresser alone. What are these methods? Hint: The names in the problem are not quite coincidental, and the two methods are natural for Swan and Crawfish. 7 Mud from Tire (Stony Brook) A car is stuck in the mud. In his efforts to move the car, the driver splashes mud from the rim of a tire of radius R spinning at a speed where Neglecting the resistance of the air, show that no mud can rise higher than a height above the ground.

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