Problem

For the rectangular parallelepiped shown, develop an expression for the scalar projection...

For the rectangular parallelepiped shown, develop an expression for the scalar projection FBC 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 ≤ d ≤ 3b, and determine the maximum value of FBC along with the corresponding value of d. See Table D/3 in Appendix D for the centroid location of a triangle.

TABLE D/3 PROPERTIES OF PLANE FIGURES

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