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

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

  1. 128/15
  2. 32/15
  3. 64/15
  4. 16/5

Answer

C. 64/15

Solution

Ix= 3/3,dx= 13 04x3/2dx= 13· 25≤ft[x5/2 ]04=2/15(32)=64/15.

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