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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What are the three basis vectors in cylindrical coordinates?
💡 Hint: Think about the three dimensions in cylindrical space.
Question 2
Easy
Explain what happens to e_r as θ increases.
💡 Hint: Consider the motion around a central axis.
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 are the basis vectors in cylindrical coordinates?
- e_r
- e_θ
- e_z
- e_x
- e_y
- e_z
- r
- θ
- z
💡 Hint: Visualize each coordinate and its direction.
Question 2
True or False: The radial vector e_r remains the same as θ changes.
- True
- False
💡 Hint: Recall how e_r behaves in motion.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
A mass is moving in circular motion with the radius defined by e_r. If θ changes rapidly, analyze the implications on the mass’s linear momentum.
💡 Hint: Focus on how the rapid change in θ impacts the forces on the mass.
Question 2
Given that e_θ rotates with θ changes, calculate how the rotational velocity affects the resultant force in a cylindrical coordinate system.
💡 Hint: Apply the principles of rotational motion and how they interrelate with e_θ.
Challenge and get performance evaluation