I have a rectangle – lets say 100 long by 75 high. Origin been bottom left corner.
I move the rectangle up and across by 10 and rotate by 3 degrees from centre of part.
How do I calculate the new position of the origin in X and Y.
I need to make only 3 measurements – 2 from X direction – 1 from Y.
I will use a laser to get 3 master measurements. I will move part and re-measure from same positions.
I can compare new measurements to original but do not know to calculate.
Best Answer
It is easier if you make the origin be the center of the rectangle. Then a point that starts at $(a,b)$ will move by the translation to $(a-10,b+10)$ A rotation of $3^\circ$ will move that to $((a-10)\cos 3^\circ-(b+10) \sin 3^\circ,(a-10)\sin 3^\circ + (b+10) \cos 3^\circ)$
It is not clear what you are asking in the second part. It seems disconnected from the first.