Analytical question: circular rotation

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SAMAHIR

Can a point P on the smaller wheel trace a straight line
path inside the circular road (like the walls of a well)

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anuttarasammyak

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I do not catch what you mean. Do you mean what is illustrated in the lower figure of the attached I took from http://galileoandeinstein.physics.virginia.edu/tns_draft/index.html. ?

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