Chapter 2.10, Problem 190P

For the rectangular parallelepiped shown, develop an expression for the scalar projection $F_{BC}$ of F onto line BC. Point M is located at the centroid of the triangle ABC formed by "chopping off" the corner of the parallelepiped. Plot your expression over the range $0\le d\le 3b,$ and determine the maximum value of $F_{BC}$ along with the corresponding value of d. See Table D/3 in Appendix D for the centroid location of a triangle.