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Prove that the rotational inertia of a flat square about a line drawn through the diagonal is equal to the rotational inertia about a line drawn through the center and crossing two opposite edges as a perpendicular bisector. (Hint: See Problem 10.)

Prove that the rotational  inertia of a flat square about a line drawn through the diagonal  is equal to the rotational  inertia about a line drawn through the center and crossing two opposite edges as a perpendicular  bisector. (Hint: See Problem 10.)
 

Grade:11

1 Answers

Aditi Chauhan
askIITians Faculty 396 Points
8 years ago
The figure below shows the flat square plate in the two dimensional xy plane:
236-2047_1.PNG
It can be seen from the figure above, that due to symmetricity of the square plate, the rotational inertia of the plate about the x axis should be equal to the rotational inertia of the plate about the y axis.
236-291_1.PNG

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