Practice Force on +θ and −θ planes - 4 | 18. Recap | Solid Mechanics
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Knowledge

4 - Force on +θ and −θ planes

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What are the coordinates of the center of the +θ plane?

💡 Hint: Recall how cylindrical coordinates are defined.

Question 2

Easy

How is the area for the θ planes defined?

💡 Hint: A formula related to area computation in cylindrical geometry.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What determines the area of the +θ and -θ planes?

  • Length of r
  • Area = ∆r ∆z
  • Diameter

💡 Hint: Focus on the formula discussed earlier in the session.

Question 2

True or False: The traction on the +θ plane can vary across the plane area.

  • True
  • False

💡 Hint: Recall our assumptions about traction.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given a cylindrical element with r = 3 cm, ∆z = 5 cm, and traction 15 N/cm², calculate the total force on the +θ plane. What additional terms could impact the calculation?

💡 Hint: Break down the force expression, ensuring you incorporate area and traction correctly while considering corrections.

Question 2

Discuss the effect of varying r on the force calculated on the +θ plane in cylindrical versus Cartesian coordinates. What extra terms would arise from these variations?

💡 Hint: Compare the changes and their mathematical implications across both systems.

Challenge and get performance evaluation