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6. Problem 11.56P (HRW) A uniform thin solid block of mass M and edge lengths a and b is as shown in the figure. We have to calculate its rotational inertia about an axis through one corner and perpendicular to the large faces.
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Solution: Click For PDF Version We use the result that the rotational inertia of a thin slab of edges a and b, and mass M about a vertical axis passing through its centre of mass is
Distance of any of the corners from the centre of mass is
Applying the parallel axis theorem, we get
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