Question

A tabletop gamer has designed a game that requires three dice to be thrown onto a tray with a measurement grid. To add an extra degree of randomness, the coordinates of the center of mass of the three dice are used as well. The masses of the three dice are 12.90 g, 15.50 g, and 19.90 g, and their respective coordinates after one particular throw are (0.4430 m, -0.1290 m), (-0.1530 m, 0.4270 m), and (-0.4490 m, -0.1290 m). 

What are the resulting coordinates of the center of mass of the dice, X_cm and Y_cm?

Answer 1

given data 2) mages ab disy Co-ordinates ум, а 12:90 9 ma 3 1. Ф 2 ma19. 9o 8 ( •4429 м ,-- |2. Som) (-30 м чо) (-ччдь -.12305) Sam x, m, + x, my +3 %, , + M2+m 2 • ччзо 12:30 + (- sayx15:50 + (-ччя) (19-50) 12• %Syo +59, 96 - )) S+3 м АМ О. см = 8, м. +1, M + + + mit het my --.12 90 Х12-30 + четох - SФ — • 296 x 19:10 12.30 + = 0 + 19:30 04 649 Ч2 м 2 म