Special Relativity Problem (1.364, Irodov)

shanu_bhaiya
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Homework Statement


The rod AB oriented parallel to the x' axis of the reference frame K' moves in this frame with a velocity v' along it's y' axis. In its turn, the frame K' moves with a velocity V relative to the frame K as shown in Figure. Find the angle (theta) between the rod and the x-axis in the frame K.

23rlhky.png


Homework Equations


Lorentz Transformation:
x' = (x-Vt)/(1-(V/c)2)1/2; y = y' (Doubtful in this case)
vx' = vx - V/(1-vxV/c2);
vy' = vy (1-(V/c)2)1/2/(1-vxV/c2).

The Attempt at a Solution


As far as I know that the rod AB in frame K should not be tilted at all, I mean it must remain horizontal if x and x' axis of K and K' frames coincide, or am I wrong? So, my only problem is that - "Is it possible for rod to be tilted in frame K?"
 
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In image, by fault there are two v' written for the velocity of rod, so don't be confused.

And on emore thing the problem is 1.364 from Problems in General Physics - I. E. Irodov.
 

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