Amilling tool will be used to carve the following geometry. the mill cutter produces a vertical force = 500 n, while the horizontal force can be neglected. calculate the minimum thickness (t) to prevent the workpiece from deflecting more than 0.0005 inches due to the force applied by the tool. the workpiece is aluminum and 1 inch wide (into the page). assume the workpiece is rigidly held at points a and b, since its side walls prevent it from rotation. look up the deflection formula to be used in a mechanics of materials book or the internet. compare your solution with the solution assuming simply supported walls, which we solved in class.