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Question: a thin triangular plate of unlform density and thickness has...

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A thin triangular plate of unlform density and thickness has vertices at v, (1,3), v2(94), v (76), as in the and the mass of the plate is 3 g. Complete parts a and b below igure to the right 10 a Find the (x.y)-coordinates of the center of mass of the plate. This balance poi 1-gram point masses located at the vertices of the plate nt of the plate coincides with the center of mass of a system consisting of three 17 13 The center of mass of the plate is located at 33 (Type an ordered pair. Type integers or simplified fractions ) b. Determine how to distribute an additional mass of 6 g at the three vertices of the plate to move the balance point of the plate to (4.4) [Hint Let w the masses added at the three vertices, so that w, + w2+w -6) Add g at (1.3), add g at (9,4) and add g at (7.6) (Type integers or decimals rounded to one decimal place as needed)
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