Calculating the Moment of Inertia

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SUMMARY

The discussion focuses on calculating the moment of inertia for a system of four masses connected by massless, rigid rods. The center of mass coordinates were determined to be (0.0517 m, 0.0517 m). The challenge lies in calculating the moment of inertia about a diagonal axis passing through masses B and D. The correct formula for moment of inertia, I = ΣM_iR_i^2, requires using the distance from the rotation axis to each mass, which was misunderstood in the initial attempts.

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Homework Statement



The four masses shown in the attachment are connectec by massless, rigid rods.

a) find the coordinates of the center of mass.
b) find the moment of inertia about a diagonal axis that passes through mass B and D.

Homework Equations



I=MR^2...I think.

The Attempt at a Solution



I've solved part a which ended up being 0.0517m, 0.0517m.

Part b is where I am stumped.

I've tried I=M_{A}R^{2}_{A}+M_{B}R^{2}_{B}+M_{C}R^{2}_{C}+M_{D}R^{2}_{D} using both the radius of the rods as well as the radius of the center of mass, but neither works.

I know I am doing this wrong and it's probably a conceptual thing, but I can't see it. :confused:
 

Attachments

  • Figure One.png
    Figure One.png
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The R's in your equation should be the distance from the rotation axis to the mass in question.
 

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