Question

Find the moment of inertia of a uniform square lamina of side a and mass m...

  1. Find the moment of inertia of a uniform square lamina of side a and mass m about a diagonal.
  2. Find the angular momentum about the origin of the square when it is rotating with angular speed ω about (a) the x-axis and (b) the diagonal through the origin.
  3. Find the kinetic energy in the two cases above
  4. Find the principal moment of inertia of a square plate about a corner.
  5. Find the principal axis associated with each principal moment of inertia.

I want to solve the question, step by step, showing each step where it came from :

Assume the assumption you want, provided you write it in the solution please and thank you very much

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