How do I calculate angles in a moving reference frame using relativity?

AI Thread Summary
To calculate angles in a moving reference frame using relativity, one must consider the velocity of the particle and the velocity of the reference frame. The angle μ formed by the particle with the X-axis in system O can be transformed to the moving system X' using the principles of Lorentz transformations. Key equations include the relativistic velocity addition formula and the tangent of the angle transformation. Understanding these concepts is crucial for solving problems related to moving reference frames. Clarification on these equations and concepts will aid in tackling the exercises effectively.
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Certain particle moving with velocity v in a sitema O; its direction forms an angle μ with the axis X. To determine the corresponding angle in the system X´ which moves with velocity V over the system or in the positive direction of X axis if the X and X´ match.
 
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I need your help because I do not understand how to start these exercises left me doubt if they can do would be helpful
 

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