Answered: Determine the second moments with…

Determine the second moments with respect to The x- and y-axes through the centroid of the area. 4 in. 6 in. 6 in. I in. 10 in.- 1 in.

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter6: Some Methods In The Calculus Of Variations

Section: Chapter Questions

Problem 6.14P

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Question

Determine the second moments with respect to
The x- and y-axes through the centroid of the area.
4 in.
6 in.
6 in.
I in.
10 in.-
1 in.

Expert Solution

Step 1

Consider the diagram shown below for the given figure.

Areas:

Step 2

The cross-section is symmetric about the y axis, thus, the centroid on the x coordinate is zero.

The y coordinate of the centroid can be determined as,

Step by step

Solved in 4 steps with 6 images

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