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Find the Center of Gravity of the Given Figures 1

Find the Center of Gravity of the Given Figures\newline11

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Absolute value and opposite integersright chevron icon

Full solution

Q. Find the Center of Gravity of the Given Figures\newline11
  1. Identify Shapes and Dimensions: Identify the shapes of the given figures and their dimensions.
  2. Calculate Area if Necessary: Calculate the area of each figure if necessary.
  3. Determine Centroid Coordinates: Determine the coordinates of the centroid of each individual figure.
  4. Use Composite Figure Formula: Use the formula for the center of gravity (centroid) for composite figures if there are multiple shapes.
  5. Calculate Moments for Each Figure: Calculate the moments about the reference axes for each figure.
  6. Find x-coordinate of Center of Gravity: Sum the moments of all figures and divide by the total area to find the xx-coordinate of the center of gravity.
  7. Find y-coordinate of Center of Gravity: Sum the moments of all figures and divide by the total area to find the yy-coordinate of the center of gravity.

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