Relativistic contraction of an accelerated rod
Abstract
The relativistic motion of an arbitrary point of an accelerated rigid rod is discussed for the case when velocity and acceleration are directed along the rod's length. The discussion includes the case of a timedependent force applied to a single point, as well as a timeindependent force arbitrarily distributed along the rod. The time dependence of the rod's relativistic length depends on the application point of the force, but after the termination of acceleration the final velocity and length do not depend on it. An observer on a uniformly accelerated rod feels an inertial force which decreases in the direction of acceleration. The influence of nonrigidity of realistic rods on our results is qualitatively discussed.
 Publication:

American Journal of Physics
 Pub Date:
 November 1999
 DOI:
 10.1119/1.19161
 arXiv:
 arXiv:physics/9810017
 Bibcode:
 1999AmJPh..67.1007N
 Keywords:

 01.50.i;
 03.30.+p;
 Educational aids;
 Special relativity;
 Physics  Classical Physics;
 General Relativity and Quantum Cosmology
 EPrint:
 11 pages, 1 figure included, revised version, accepted for publication in Am. J. Phys