Abstract
Abstract
Relativistic four-tensor equation dJ
μ
ν
= M
μ
ν
dt is developed to analyse linear translation with rotation processes. The postulated cause-effect four-tensor equation, a relativistic generalisation for classical angular-impulse–angular-momentum variation equation dJ = Mdt, includes the Poinsot-Euler rotation (angular-impulse–angular-momentum variation) equation, Newton’s second law (linear-impulse–linear-momentum variation equation), and thermodynamics first law (work–energy equation). This four-tensor formalism is applied to describe three linear translation with rotation processes: a ring rolling on the floor by a horizontal force linear impulse and torque, fulfilling the rolling condition (mechanical energy conservation), a spinning ring placed on the ground until achieved the rolling condition (mechanical energy dissipation by friction), and a fireworks wheel ascending an incline (mechanical energy production by decreasing a thermodynamic potential).
Subject
Condensed Matter Physics,Mathematical Physics,Atomic and Molecular Physics, and Optics
Reference56 articles.
1. Modern mechanics;Chabay;Am. J. Phys.,2004
2. The strange world of classical physics;Green;Phys. Teach.,2010
3. Mutability: the staircase of law, and law transcended;Wheeler;Am. J. Phys.,1977
4. The theory of relativity and the Pytagorean theorem;Okun;Phys. Usp.,2008
5. Statics in special relativity;Pahor;Nuovo Cimento,1974