By Sidney B. Cahn, Boris E. Nadgorny, C.N. Yang
Pt. 1. Mechanics, relativity, and electrodynamics -- pt. 2. Thermodynamics, statistical physics, and quantum mechanics
Read Online or Download A Guide to Physics Problems. Mechanics, Relativity, and Electrodynamics PDF
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Extra resources for A Guide to Physics Problems. Mechanics, Relativity, and Electrodynamics
39 Rotating Door (Boston) A uniform rectangular door of mass with sides and negligible thickness rotates with constant angular velocity and about a di- MECHANICS 23 agonal (see Figure P. 39). Ignore gravity. Show that the torque must be applied to keep the axis of rotation fixed. 40 Bug on Globe (Boston) A toy globe rotates freely without friction with an initial angular velocity A bug starting at one pole N travels to the other pole S along a meridian with constant velocity The axis of rotation of the globe is held fixed.
A) If the velocity is zero when what is the minimum height such that the car goes around the loop, never leaving the track? b) Consider the motion in the interval before the loop. Assuming that the car always stays on the track, show that the velocity in the direction is related to the height as c) In the particular case that show that the time elapsed in going down the ramp from can be expressed as where and write as a definite integral. Evaluate the integral in the limiting case and discuss the meaning of your answer.
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.