All Problems

Relativistic Mechanics

Problem 1.364

The rod \(A B\) oriented parallel to the \(x^{\prime}\) axis of the reference frame \(K^{\prime}\) moves in this frame with a velocity \(v^{\prime}\) along its \(y^{\prime}\) axis. In its turn, the frame \(K^{\prime}\) moves with a velocity \(V\) relative to the frame \(K\) as shown in Fig. \(1.94 .\) Find the angle \(\theta\) between the rod and the \(x\) axis in the frame \(K\).

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