Practice Representation Of Vectors And Second Order Tensors In A Coordinate System (3)

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8 questions

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6 sample questions

Question 1.
What is a vector?
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Think about direction and size.
Question 2.
How does a vector change when represented in different coordinate systems?
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Consider how we express it mathematically.
3Question 3.
What does the representation of a vector depend on?
- The magnitude only
- The coordinate system
- The physical situation
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Consider how a position changes depending on your view.
4Question 4.
The stress tensor is a type of what?
- True
- False
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Think about the definition of tensors versus scalars.
Question 5.
Given two coordinate systems and a defined vector, derive its representation in the new system and discuss the implications.
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Think about angles and coordinate direction changes.
Question 6.
If you had a cube and measured stress on all faces, how would you calculate the stress tensor from these measurements?
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Use the equations for normal σ and shear τ components.

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