The Parallel Axis Theorem says: IPARALLEL=ICM+Md2 How does IPARALLEL compare (i.e. is it larger, smaller, or...
The Parallel Axis Theorem says:
IPARALLEL=ICM+Md2
How does IPARALLEL compare (i.e. is it larger, smaller, or the same) to ICM?
Explain physically why this is so.
Homework Answers
The moment of inertia of any object about an axis through its center of mass is the minimum moment of inertia for an axis in that direction in space. The moment of inertia about any axis parallel to that axis through the center of mass is given by: I(parallel axis) = Icm + m(d^2).
It means the moment of inertia about an axis passing through the center of mass is the least. The expression added to the center of mass moment of inertia will be recognized as the moment of inertia of a point mass - the moment of inertia about a parallel axis is the center of mass moment plus the moment of inertia of the entire object treated as a point mass at the center of mass.
Clearly stated, Icm is the least and a positive term is added to it to get Iparallel, so Iparallel is larger than the Icm.
Add Answer to:
The Parallel Axis Theorem says:
IPARALLEL=ICM+Md2
How does IPARALLEL compare (i.e. is
it larger, smaller, or...
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larger or smaller than the electric field 20.0 cm from a point
charge that has the same total charge as this disk? In terms of the
approximation used in part B to derive E=Q/4πP0x2 for a point
charge from equation Ex=σ2ϵ0[1−1(R2/x2+1)√], explain why this is
so.
This essay question confuses me and any help with an explanation
would be very appreciated.
Thank you.
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