Practice Force On +z And −z Plane (2.1) - Cylindrical Coordinate System

Practice: Force on +z and −z Plane

Lesson 2.1Cylindrical Coordinate System

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8 questions

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2 cards from this section. Quick, good the night before a test.
Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
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Quiz
2 questions · about 1 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
Define the term 'traction vector'.
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Think about forces acting on a surface.
Question 2.
What does the integration of the area element represent?
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Consider how small areas contribute to a total.
3Question 3.
What does the traction vector on the +z plane include?
- Only normal stress
- One shear stress component
- Multiple stress components
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Think about how many forces act on a surface.
4Question 4.
True or False: The integration for the total force on the -z plane uses positive traction components.
- True
- False
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Remember the direction of the forces.
Question 5.
A vertical cylindrical tank filled with water has a base area of 3 m². Calculate the force acting on the bottom (+z) plane if the water exerts a pressure of 100 kPa.
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Use the basic formula for pressure force calculation.
Question 6.
For a hollow cylinder with an inner radius of 1 m and outer radius of 1.5 m, derive the expression for the total force on the top surface if σ varies linearly from the center to the outer edge.
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Set the limits for integration accordingly based on the radii.

4 more questions in this section. Enroll free to practise them all.