Rotational Dynamics and torque, easy problem

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SUMMARY

The discussion focuses on calculating angular acceleration and moment of inertia for a rectangle subjected to a torque of 13 Nm about the x, y, and z axes. The correct angular accelerations are 2.4 rad/s² for the x-axis, 5.1 rad/s² for the y-axis, and 3.0 rad/s² for the z-axis. The user initially attempted to use the formula τ = Iα, where I is the moment of inertia and α is the angular acceleration, but encountered difficulties in determining the correct moment of inertia for the rectangle about each axis. Clarification on whether the axes rotate with the system is also sought.

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I really have no idea how to go about doing this one... Any help is well appreciated! Thanks!

What is the angular acceleration of the rectangle in (attachment) if a torque of 13 Nm is applied about (a) the x-axis (b) the y-axis and (c) the z axis (through origin and perpendicular to the page).

I assumed I would use t=Ia where I would simply be m*r^2. But that gives me the wrong answer.

The answers are (a)2.4 (b)5.1 (c)3.0 if that helps.
 
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This question is a bit obnoxious because it's unclear whether the object is forced to rotate on the axes you meantion.

Regardless, can you calculate the moment of inertia of the object about the x,y, and z axes of the object?
 
I assumed the axes rotated with the system (around the center of the rectangle). But then I guess the radius would be the same and the angular acceleration would just be equal and opposite for (a) and (b) (clockwise and counterclockwise rotation). And all I really know about calculating moment of inertia is plugging what's given (or found) in a problem into a given set of I's provided in class. Your right this is kind of an iffy system...Sorry. But thanks anyways!
 

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