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?
 
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