All Problems

Relativistic Mechanics

Problem 1.364

The rod ABA B oriented parallel to the xx^{\prime} axis of the reference frame KK^{\prime} moves in this frame with a velocity vv^{\prime} along its yy^{\prime} axis. In its turn, the frame KK^{\prime} moves with a velocity VV relative to the frame KK as shown in Fig. 1.94.1.94 . Find the angle θ\theta between the rod and the xx axis in the frame KK.

Reveal Answer
tanθ=vV/c21(V/c)2\tan \theta=v^{\prime} V / c^{2} \sqrt{1-(V / c)^{2}}