Engineering Board Exam Reviewer · Applications: Centroid, Work, and Moment of Inertia · hard

Find the x-coordinate of the centroid of the region bounded by y=x2, y=0, x=0, and x=2.

  1. 32
  2. 1
  3. 43
  4. 2

Answer

A. 32

Solution

Area A= 02x2,dx= 83. x=1/A 02 x· x2,dx=1/A(4)=4/8/3= 32.

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