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How to construct a single graph to roll a circular sector along a line.
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How to construct a single graph to roll a circular sector along a line dynamically?
I have a attachment and the link below to show it statically.
https://www.geogebra.org/ca...
And, Ive tried it separately as below, but I was not able to finish it in a single graph.
https://www.geogebra.org/ca...
https://www.geogebra.org/ca...
pleaese help!
Files:
roll a sector.png
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a solution with angles between 0 and 180°.
Solution principle:
The sector is rotated (depending of an animation slider) on a fix point and the contact point of the sector to the ground is determined (E). When exist this is Point D else this is the lowest/most right Corner. (E)
Based on the point of contact (E), the distance traveled is determined (d).
With d and E the sector standing at the fixed point is translated into Graphic 1.
The entire logic is in D, E and d.
Also
we can give a path to point A having a slider t=0...4
t<=1: Rotation around B=(1,0), A rotates around (1,0)+(cos(phi),sin(phi))t<=2: translation of A=(1,1)....(1+phi/2,1): A(t) = (1 + π / 2 (t  1), 1)
t<=3: Rotation around C=(1+phi/2,0), A rotates around (1+phi/2,0) +(cos(phi),sin(phi))
t<=4: A=(2 + π / 2, 0))
B,C rotate always around A with
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