Sapling Learning Three 82.9 gram masses are connected in a triangular shape by m

Question

Sapling Learning Three 82.9 gram masses are connected in a triangular shape by massless rigid wires as shown in the first image (which is not drawn to scale). The coordinates of each mass are given in centimeters. Find the x and y coordinates of the center of mass of the triangular object. (14.2, 17.5) 2 (19.3, 13.4) Number Number cm cm + x (0, 0) 5 (0, 41.1) 2 Two more 82.9 gram masses are connected by a straight piece of wire and affixed to the original configuration as shown. Find the x and y coordinates of the new center of mass of the combined object. Number cm em 4 (0,-41.1)

Explanation / Answer

r_cm = (m1 r1 + m2 r2 + m3 r3) / (m1 + m2 + m3)

x_cm = [ (m x 0) + (19.3 m) + (14.2m)] / 3 m

x_cm = 11.2 cm . .......Ans

y_cm = [ 0m + 17.5m + 13.4m]/3m

y_cm = 10.3 cm ............Ans

x_cm = [ (11.2 x 3m) + (0m) + (0m)] / 5 m

= 6.7 cm ......Ans

y_cm [ 30.9m + 41.1m - 41.1m] / 5m

y_cm = 6.18 cm ......Ans

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