Question:

In this question, you are asked to find and compare the transformations of the angle of the velocity vector of a particle and the angle of an inclined stick. The relationship between the two frames of reference is as usual.

(i) In frame S′, a stick makes an angle of θ′ with the x′ axis. What is the angle θ measured

in the S frame. What is the length in the S frame?

(ii) Now we consider a particle moving with a velocity u′ in frame S′ at an angle θ′ to the

x′ axis. Find the angle θ in the frame S.

In this question, you are asked to find and compare the transformations of the angle of the velocity vector of a particle and the angle of an inclined stick. The relationship between the two frames of reference is as usual.

(i) In frame S′, a stick makes an angle of θ′ with the x′ axis. What is the angle θ measured

in the S frame. What is the length in the S frame?

(ii) Now we consider a particle moving with a velocity u′ in frame S′ at an angle θ′ to the

x′ axis. Find the angle θ in the frame S.

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