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

A 6-m rod has linear density (x)=2+x kg/m, where x is measured from one end. How far from that end is the rod's center of mass, in meters?

  1. 3
  2. 4
  3. 3.6
  4. 3.2

Answer

C. 3.6

Solution

M= 06(2+x)dx=30 kg. x= 1M 06x(2+x),dx=1/30≤ft[x2+x3/3 ]06=108/30=3.6 m.

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