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Question 1

How is the mass element dm usually expressed?

Answer 1

In terms of the geometry of the object

This allows for integration over the object as a whole.

Question 2

What are ‘principal axes’?

Answer 2

Axes which include all axes of symmetry of objects

These axes are significant when discussing the moment of inertia.

Question 3

What is the moment of inertia for general objects about arbitrary axes?

Answer 3

A much more complicated subject that requires a mathematical tensor quantity

This tensor quantity needs nine components to be completely defined.

Question 4

True or False: The moment of inertia is simple to calculate for any arbitrary axis.

Answer 4

False

It is complex and requires understanding of tensor quantities.

Question 5

Fill in the blank: The moment of inertia takes the form of a _______ quantity for general objects about arbitrary axes.

Answer 5

[mathematical tensor]