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TSny
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franceboy said:Okay that means if d>0, the lines do not cross each other orthogonally.
Yes, if you mean that line ##P_1P_2## is not orthogonal to the rail ##AB##. If this is not what you mean, can you specify the lines that you are talking about?
And d is zero if the double cone rolled a round, considered from the point A, right?
I'm not sure I understand this question. If you work out the "offset distance" ##d_0## as a function of ##d##, then I believe you will find that there must be some offset distance even at the starting point if you want the double-cone to rest on the rails at the starting point. So, the CM of the system would not actually be on a line through A and perpendicular to the plane of the rails at the starting point. Maybe this is what you are saying.