Mary,
The line cleated in the kick-up camcleat keeps the blade upright - it is exactly the same line that brings and locks the rudder to the vertical position in the Laser.
When the blade hits an obstacle, the cleat frees this line and the blade rotates back.
The other line serves to rotate the blade in the other direction (to the back).
This control system with two lines is just ilustrative. For a beach cat, I think a rigid control bar (like the Tornado/Taipan system) would work better.
Also, control lines could be improved using the system designed by Bill Roberts, with spring locks released by the same lines - but the drawing would not be clear to demonstrate the concept.
The tricky part was finding an elegant solution to raise and lower the blade vertically. A tall rudderhead with vertical lines is obvious but ugly. And three or four control lines in a rudder are not desirable. Lets see who finds my solution.