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    How to Calculate the Intersection Point of Two Cycloids?

    Greetins again! I checked, how parametric equations are solved. Basically, you have to solve one of them for t. y=r(1-cos(t)) t=arccos(-y/r+1) I put this into the equation of x for both cycloid. x=r(arccos(-y/r+1)-sin(arccos(-y/r+1))) x=r(arccos(-y/r+1)-sin(arccos(-y/r+1))+u) When I make these...
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    How to Calculate the Intersection Point of Two Cycloids?

    Thanks for the immediate answer. Yes, I can understand that, the intersection of a curtate or a prolate cycloid is very different. As far as I know, transcendent in this case means that, there is no way to express t from the equation, that has t and sin(t) in it also. Because you would get in...
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    How to Calculate the Intersection Point of Two Cycloids?

    Homework Statement Greetings everyone! I would like to know, how to calculate the intersection point of two cycloids. Homework Equations The equations of the cycloid are the following: x=r(t-sin(t)) y=r(1-cos(t)) The Attempt at a Solution I tried to solve it by myself, but I...
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