Statics Practice Problem 9-11: Centroid of an area defind by a curve

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Statics Practice Problem 9-11: Centroid of an area defind by a curve
  1. Mechanical Engineering with Dr. Sanei
  2. centroid
  3. area
  4. centroid of an area
  5. practice
  6. statics
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In what cases would x tilda = x and y tilda = y? In this problem, I am confused why we put x tilda = x

shapari