So we have a segment [AB] that is hanged by two strings on the left and on the right. We know the distance between the two strings pivots (D) and the length of the two strings (L - left and R - right). We also now the segment length (M) and the angle it makes to the strings support (z). We consider the left string pivot the origin. (x -> right, y -> down).
How can I find the coordinates of A and B?
I got to: $$Ax=cos(alfa)*L;Ay=sin(alfa)*L$$ $$Bx=D-cos(beta)*R;By=sin(beta)*R$$ $$Bx=Ax+cos(z)*M;By=Ay-sin(z)*M$$ so this results in: $$D-cos(beta)*R=cos(alfa)*L+cos(z)*M$$ $$sin(beta)*R=sin(alfa)*L-sin(z)*M$$ with the 2 unknowns alfa and beta. Where can I get an extra equation?
Thanks!