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A guide to physics problems part 1 mechanics, relativity, and electrodynamics.
[...]... (Princeton) Powder of Dielectric Spheres (Stony Brook) Concentric Spherical Capacitor (Stony Brook) Not-so-concentric Spherical Capacitor (Michigan Tech) Parallel Plate Capacitor with Solid Dielectric (Stony Brook, Michigan Tech, Michigan) Parallel Plate Capacitor in Dielectric Bath (MIT) Not-so-parallel Plate Capacitor (Princeton (a) , Rutgers (b)) Cylindrical Capacitor in Dielectric Bath (Boston, Maryland)... (Princeton) Powder of Dielectric Spheres (Stony Brook) Concentric Spherical Capacitor (Stony Brook) Not-so-concentric Spherical Capacitor (Michigan Tech) Parallel Plate Capacitor with Solid Dielectric (Stony Brook, Michigan Tech, Michigan) Parallel Plate Capacitor in Dielectric Bath (MIT) Not-so-parallel Plate Capacitor (Princeton (a) , Rutgers (b)) Cylindrical Capacitor in Dielectric Bath (Boston, Maryland)... Noninertial Frame (Maryland) Beer Can (Princeton, Moscow Phys-Tech) Space Habitat Baseball (Princeton) Vibrating String with Mass (Stony Brook) Shallow Water Waves (Princeton (a, b)) Suspension Bridge (Stony Brook) Catenary (Stony Brook, MIT) Rotating Hollow Hoop (Boston) Particle in Magnetic Field (Stony Brook) Adiabatic Invariants (Boston (a) ) and Dissolving Spring (Princeton, MIT (b)) Superball in Weakening... (Princeton, Stony Brook) Unstable Top (Stony Brook) Pendulum Clock in Noninertial Frame (Maryland) Beer Can (Princeton, Moscow Phys-Tech) Space Habitat Baseball (Princeton) Vibrating String with Mass (Stony Brook) Shallow Water Waves (Princeton (a, b)) Suspension Bridge (Stony Brook) Catenary (Stony Brook, MIT) Rotating Hollow Hoop (Boston) Particle in Magnetic Field (Stony Brook) Adiabatic Invariants... Vector (Rutgers) Angular Momentum of Electromagnetic Field (Princeton) Plane Wave in Dielectric (Stony Brook, Michigan) X-Ray Mirror (Princeton) Plane Wave in Metal (Colorado, MIT) Wave Attenuation (Stony Brook) Electrons and Circularly Polarized Waves (Boston) Classical Atomic Spectral Line (Princeton, Wisconsin-Madison) Lifetime of Classical Atom (MIT, Princeton, Stony Brook) Lorentz Transformation... Fields (Stony Brook) Field of a Moving Charge (Stony Brook) Retarded Potential of Moving Line Charge (MIT) Orbiting Charges and Multipole Radiation (Princeton, Michigan State, Maryland) 3.55 Electron and Radiation Reaction (Boston) 3.56 Radiation of Accelerating Positron (Princeton, Colorado) 3.57 Half-Wave Antenna (Boston) 3.58 Cerenkov Radiation (Stony Brook) 3.59 Stability of Plasma (Boston) 3.19... Iterated Capacitance (Stony Brook) Resistance vs Capacitance (Boston, Rutgers (a) ) Charge Distribution in Inhomogeneous Medium (Boston) Green’s Reciprocation Theorem (Stony Brook) Coaxial Cable and Surface Charge (Princeton) Potential of Charged Rod (Stony Brook) Principle of Conformal Mapping (Boston) Potential above Half Planes (Princeton) Potential of Halved Cylinder (Boston, Princeton, Chicago)... Plane Wave in Metal (Colorado, MIT) Wave Attenuation (Stony Brook) Electrons and Circularly Polarized Waves (Boston) Classical Atomic Spectral Line (Princeton, Wisconsin-Madison) Lifetime of Classical Atom (MIT, Princeton, Stony Brook) Lorentz Transformation of Fields (Stony Brook) Field of a Moving Charge (Stony Brook) Retarded Potential of Moving Line Charge (MIT) Orbiting Charges and Multipole Radiation... Constant Magnetic Field (Boston) Mutual Inductance of Line and Circle (Michigan) Faraday’s Homopolar Generator (Stony Brook, Michigan) Current in Wire and Poynting Vector (Stony Brook, MIT) Box and Impulsive Magnetic Field (Boston) Coaxial Cable and Poynting Vector (Rutgers) Angular Momentum of Electromagnetic Field (Princeton) Plane Wave in Dielectric (Stony Brook, Michigan) X-Ray Mirror (Princeton)... Formula Spherical Harmonics 313 314 314 315 316 317 320 321 321 BIBLIOGRAPHY 323 This page intentionally left blank A GUIDE TO PHYSICS PROBLEMS part 1 Mechanics, Relativity, and Electrodynamics This page intentionally left blank PROBLEMS This page intentionally left blank 1 Mechanics 1.1 Falling Chain (MIT, Stanford) A chain of mass M and length L is suspended vertically with its lower end touching a scale