icantspeakengles
21.07.2020 •
Physics
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 11.10 g, 15.10 g, and 18.90 g, and their respective coordinates after one particular throw are (0.3150 m,−0.4990 m), (−0.4050 m,0.4850 m), and (−0.1150 m,−0.1850 m).
Requried:
What are the resulting coordinates of the center of mass of the dice, xcm and ycm?
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Ответ:
The resulting coordinate is
Explanation:
From the question we are told that
The mass of the first dice is
The mass of the second dice is
The mass of the third dice is
The coordinate of the first dice is
The coordinate of the second dice is
The coordinate of the third dice is
Generally the resulting coordinate of the center of mass of the dice in the x-axis is mathematically evaluated as
i.e the summation of the moments about their x-axis divided by the magnitude of their masses
substituting values
Generally the resulting coordinate of the center of mass of the dice in the y-axis is mathematically evaluated as
Thus the resulting coordinate is
Ответ:
more than, less
less than, more