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Three identical coins lie on three corners of a square a = 10.0 cm on a side, as shown in the figure. Determine the x and y coordinates of the center of gravity.

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solution is below explained

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The x and y coordinates of the center of gravity are; x1g = 3.33 cm and y1g = 3.33 cm

Since the coins lie on three corners of a square a = 10 cm.

Thus, the coordinates are;

(0, 0), (10, 0), (0, 10)

  • The x-coordinates of the center of gravity is;

x1g = [(x1 × m1) + (x2 × m2) + (x3 × m3)]/(m1 + m2 + m3)

x1g = [(0 × m) + (10 × m) + (0 × m)]/(m + m + m)

x1g = 10m/3m

x1g = 3.33 cm

  • Similarly for the y-coordinates of the center of gravity, we have;

y1g = [(y1 × m1) + (y2 × m2) + (y3 × m3)]/(m1 + m2 + m3)

y1g = [(0 × m) + (0 × m) + (10 × m)]/(m + m + m)

y1g = 10m/3m

y1g = 3.33 cm

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