Rotational Inertia of Square Homework

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The discussion focuses on calculating the rotational inertia of a system of four identical particles arranged at the vertices of a square. For part (a), the inertia is calculated using the formula I = mr^2, yielding an expression based on the distances from the axis. In part (b), the initial calculation is corrected to account for the perpendicular axis, emphasizing the need to include contributions from all particles. Part (c) involves using the diagonal length of the square to find the inertia about a diagonal axis. The conversation highlights the importance of correctly applying the rotational inertia formulas for different axes.
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Homework Statement



Four identical particles of mass 0.351 kg each are placed at the vertices of a 3.50 m x 3.50 m square and held there by four massless rods, which form the sides of the square. What is the rotational inertia of this rigid body about an axis that (a) passes through the midpoints of opposite sides and lies in the plane of the square, (b) passes through the midpoint of one of the sides and is perpendicular to the plane of the square, and (c) lies in the plane of the square and passes through two diagonally opposite particles?

Homework Equations


I = mr^2
I = Icom + Mh^2

The Attempt at a Solution


a) I think you would do I = mr^2 + mr^2
so, I = 2(.351)(3.5/2)^2 + 2(.351)(3.5/2)^2

b) I = .351(3.5/2)^2 + .351(3.5/2)^2 + 2(.351)(3.5)^2

c) Since the diagonal of the square is 4.95m
I = .351(4.95/2)^2 +.351(4.95/2)^2

Homework Statement


Homework Equations


The Attempt at a Solution

 
Last edited:
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hi mmiller9913! :smile:

(try using the X2 icon just above the Reply box :wink:)
mmiller9913 said:
b) I = .351(3.5/2)^2 + .351(3.5/2)^2 + 2(.351)(3.5)^2

(a) and (c) are fine :smile:

try (b) again​
 
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