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Foundations of Physics

, Volume 15, Issue 2, pp 167–173 | Cite as

The application of special relativity to the right-angled lever

  • S. J. Prokhovnik
  • K. P. Kovács
Article

Abstract

The Lorentz transformation relates the Einstein-defined measures, associated with two inertial frames, of the space and time coordinates of a body or event. From such information relative velocities and accelerations may be deduced, and their appropriate transformations derived. All other transformations of special relativity are derived from the Lorentz transformation and hence depend on the coordinate measures related by the transformation. In particular, the transformation of forces depends on that for accelerations; hence it may not be appropriately applicable to equilibrium phenomena involving null-acceleration. It is suggested that this is the root of the apparent paradox which arises when the conventional force transformation is applied to the consideration of a right-angled lever in equilibrium in its proper inertial frame. It is shown that this paradox is resolved by the employment of a nonconventional but appropriate special relativistic transformation for forces not associated with corresponding accelerations.

Keywords

Relative Velocity Special Relativity Inertial Frame Lorentz Transformation Apparent Paradox 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Plenum Publishing Corporation 1985

Authors and Affiliations

  • S. J. Prokhovnik
    • 1
  • K. P. Kovács
    • 2
  1. 1.School of MathematicsUniversity of New South WalesSydneyAustralia
  2. 2.Technical UniversityBudapestHungary

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