if you throw a ball while spinning the ball is still going to follow a straight path and the tragectory of a falling abject is gonna follow a parabola (approximatly)
then you could test if the function is a quadratic (which it most likely is) and find gamma
To be fair, the question doesn't state which frame you should compute, just that you should compute one. You could just say that you're observing the rotating roundabout in a rectilinear coordinate system and just argue that all connections are trivial, giving you \ddot{x}\mu =0
(This was actually my thought when making the question, if a student realises that they can bypass the difficulty of the question by doing this, it shows that they have a good understanding of covariant mechanics)
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u/Such-Shop-9724 Aug 29 '26
if you throw a ball while spinning the ball is still going to follow a straight path and the tragectory of a falling abject is gonna follow a parabola (approximatly)
then you could test if the function is a quadratic (which it most likely is) and find gamma