MHB How are Moments and Products of Inertia Related to the Center of Mass?

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Moments and products of inertia are crucial for understanding rotational dynamics, particularly when calculated about the center of mass. The equation H(c) = -I(yz)ŵe(y) - I(xz)ŵe(x) + I(z)ŵe(z) expresses the relationship between these inertia measures and angular momentum. To prove this, one must analyze the definitions and properties of inertia tensors in relation to the center of mass. Clarification on the symbols used in the equation is also necessary for a comprehensive understanding. Understanding these concepts is essential for solving problems in mechanics effectively.
onie mti
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I am working on this problem, they say if moments and products of inertia are computed with respect to the center of mass, the
H(c)= -I(yz)ŵe(y) - I(xz)ŵe(x) + I(z)ŵe(z) how can I prove this?
 
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onie mti said:
I am working on this problem, they say if moments and products of inertia are computed with respect to the center of mass, the
H(c)= -I(yz)ŵe(y) - I(xz)ŵe(x) + I(z)ŵe(z) how can I prove this?

Whot?

What do those symbols mean?

Any thoughts?
 
Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?

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