All Problems Relativistic Mechanics
Problem 1.341
In a triangle the proper length of each side equals \(a\). Find the perimeter of this triangle in the reference frame moving relative to it with a constant velocity \(V\) along one of its (a) bisectors; (b) sides. Investigate the results obtained at \(V \ll c\) and \(V \rightarrow c,\) where \(c\) is the velocity of light.
1.341. (a) \(P=a\left(1+\sqrt{4-3 \beta^{2}}\right)\) (b) \(P=a\left(\sqrt{1-\beta^{2}}+\sqrt{4-\beta^{2}}\right)\) Here \(\beta=V / c\)