Last Updated on September 8, 2026 by Maged kamel
Video-Iy and polar moment of inertia-right angle-case 2.
How do we find the moment of inertia about the Y-axis for right-angle case 2? There are two conditions for the y-axis: the first is when the y-axis passes by the intersection point between the base and the hypotenuse, or the left corner.
1-For Iy estimation, for case -2, a vertical strip will be used; the strip width is dx, and its height is y.
2- Since the strip height starts from the base and intersects with line AC, the y value is the same as the line AC equation, that is, y=h*x/b; for the x value, it will be=b*y/h.
3- The moment of Inertia due to that strip about the Y-axis is equal to A*(x^2).
Timestamps for the video:
- 0:00- How do we derive the Expression for Iy at the CG for the y-axis at different locations?
- 4:17- The value of the polar moment of Inertia for a right-angle case 2.
- 5:12- The value of the polar Moment of Inertia at the CG for a right-angle case 2.
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The related post is Post 11-Moment of inertia Iy-Case-2 for a right-angle triangle.
The next video covers the Product of Inertia for a right-angle triangle (Case 2).