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

Find the moment of inertia about the y-axis of the region bounded by y=sqrt(x), x=4, and the x-axis.

  1. 128/7
  2. 512/7
  3. 64/3
  4. 256/7

Answer

D. 256/7

Solution

Iy= x2y,dx= 04x5/2dx= 27≤ft[x7/2 ]04= 27(128)=256/7.

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