Question

Athin triangular plate of uniform density and thickness has vertices at v1 = (3.1), V2 = (10,1), V3 = (7.7), as in the figure to the right, and the mass of the plate is 3 g. Complete parts a and b below. Ay 10- 8 6- 4 2- a. Find the (x,y)-coordinates of the center of mass of the plate. This "balance point of the plate coincides with the center of mass of a system consisting of three 1-gram point masses located at the vertices of the plate. The center of mass of the plate is located at (Type an ordered pair. Type integers or simplified fractions.)

Answer 1

Center of mass is located at the CENTROID of the Triangle Cin this cas ase) (ait an + X2 + X 4 + 4 + 43 = Centroid 3 + 10 +7 1 + 1 3 3. 3 8 center of mass ( 20, 3) (6.67,3)