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

Find the y-coordinate of the centroid of the region bounded by y=sqrt(x), y=0, and x=4.

  1. 34
  2. 1
  3. 85
  4. 23

Answer

A. 34

Solution

Area A= 04 x,dx=16/3 (from a companion problem). y=1/A 04 12 y2,dx=1/A 04x/2,dx=1/A(4)=4/16/3= 34.

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