Theory and ApplicationsMedians of a triangle Suppose that
Chapter 12, Problem 51E(choose chapter or problem)
Problem 51E
Theory and Applications
Medians of a triangle Suppose that A, B, and C are the corner points of the thin triangular plate of constant density shown here.
a . Find the vector from C to the midpoint M of side AB.
b. Find the vector from C to the point that lies two-thirds of the way from C to M on the median CM.
c. Find the coordinates of the point in which the medians of intersect. According to Exercise 17, Section 6.6, this point is the plate’s center of mass.
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