Dynamics and Relativity
A new title in the Manchester Physics Series, this introductorytext emphasises physical principles behind classical mechanics andrelativity. It assumes little in the way of prior knowledge,introducing relevant mathematics and carefully developing it withina physics context. Designed to provide a logical development of thesubject, the book is divided into four sections, introductorymaterial on dynamics, and special relativity, which is thenfollowed by more advanced coverage of dynamics and specialrelativity. Each chapter includes problems ranging in difficultyfrom simple to challenging with solutions for solvingproblems.
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Force Momentum and Newtons Laws
The Need for a New Theory of Space and Time
Relativistic Energy and Momentum
Rigid Body Motion
The Symmetries of Space and Time
Fourvectors and Lorentz Invariants
Spacetime Diagrams and Causality
Acceleration and General Relativity
Appendix A Deriving the Geodesic Equation
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absolute space angle angular momentum angular speed angular velocity ball basis vectors bodyfixed frame Calculate centre of mass centreofmass classical clock collision components compute consider constant coordinate system Coriolis Coriolis force corresponding defined determine direction distance Earth Earth’s surface Einstein’s theory electron energy and momentum equal ether example experiment fictitious force force acting fourvector frame of reference friction Galilean Galilean transformations gives gravitational field gyroscope hence horizontal illustrated in Figure inertial frame kinetic energy lab frame length Lorentz transformations magnitude measured moment of inertia momentum conservation moving muon Newton’s laws Newton’s Second Law noninertial nonrelativistic numbers observer obtain orbit perpendicular photon physics pion plane position vector potential energy precession principal axes problem radius relativistic rest frame result rocket rotating frame Solution solve spacetime Special Relativity speed of light symmetry axis torque total energy write xaxis zero