Moment of inertia for circle through centroid along x-x & y-y axes

Q.  Which of the following laminas have same moment of inertia (Ixx = Iyy), when passed through the centroid along x-x and y-y axes?
- Published on 21 Sep 15

a. Circle
b. Semi-circle
c. Right angle triangle
d. Isosceles triangle

ANSWER: Circle

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    Discussion

  • Sravanthi   -Posted on 24 Nov 15


    - Moment of inertia along Ixx = (π/64) D4

    - Moment of inertia along Iyy = (π/64) D4

    - For semi-circle

    Ixx = 0.11 R4

    Iyy = (π/128) D4 or (π/8) R4

    - For right angled triangle

    Ixx =Iyy = bh3/36

    - Isosceles triangle

    - Moment of inertia along Ixx = bh3/ 36

    - Moment of inertia along Iyy = hb3/ 48

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