How can I determine the area and center of mass of a polygon knowing the coordinates of its points? the lenght of the segment 01 and the angle between lines 05 and 45?
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Well done Werner. Fred and I both forgot about the CofG part!
Looks like we all forgot about the second question
the lenght of the segment 01 and the angle between lines 05 and 45?
but I am not quite sure about this question, especially as the first part seems too trivial.
Thank you gentlemen,
I'm not a regular matchad user, but whenever I search on this forum I see solutions from some of you guys. Thank you for sharing your experiece with us!
Werner, the angle was part of a second questions. It will follow. Now I have to run to a meeting.
I tried, without any success, to extend the solutions proposed so that I can account for the variability of the angle alfa. I inserted an explanatory figure at the end of the worksheet. If alfa is 0 line 05 is horizontal. The top limit of alfa is defined by joining points 4 and 5. I would like to define alfa as a incremental variable within these limits. Line 45 has fixed slope (beta angle).
The idea is to make point 5 run on the 45 line and consequently generate values of the area and center of gravity for a fixed increment of alfa.
E.g. if alfa ranges between 0 and 10 deg, I would like to calculate for each degree of alfa the area and center of mass.
Thank you for all your good input.
Its not fully clear from your description - do you want the line 45 run through the point (L/0) or do you want that the angle 054 at the variable point 5 to be a given value beta?
I guess its the first scenario and L should be the sum of L1 to L4 (divided by x.scale) and the angle at point 5 will vary.
In the second case point 5 would move on a circle and L.4 would be obsolete, so I guess this is not what you are supposed to do.