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

Find the y-coordinate of the centroid of the region bounded by y= x, 0≤ x≤π, and the x-axis.

  1. π/4 0.785
  2. π/8 0.393
  3. 1/2
  4. π/16 0.196

Answer

B. π/8 0.393

Solution

A= 0π x,dx=2. y= 1A 0π 12 2x,dx= 12· 12· π2= π8.

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