Practice Representation Of Vectors (3.1) - Traction vector

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6 sample questions

Question 1.
What is a vector?
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Think about how a force is represented.
Question 2.
Describe the significance of coordinate systems in vector representation.
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Recall the alignment of vectors.
3Question 3.
What is a vector?
- A quantity with magnitude only
- A quantity with direction only
- A quantity with both magnitude and direction
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Consider what a force acts as.
4Question 4.
The stress tensor is dependent on the choice of planes used in its derivation.
- True
- False
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Recall the definition of the stress tensor.
Question 5.
Given a vector represented in a standard coordinate system, derive its representation in a rotated coordinate system and explain the implications of this change in terms of stresses.
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Consider how trigonometric functions relate the two coordinate systems.
Question 6.
Design a simple experiment to demonstrate how the representation of a stress tensor might differ based on the outside loading conditions of a material.
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Make sure to visualize the stress tensor in tabular form based on readings obtained.

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