2.3 - Partial Derivative of Basis Vectors w.r.t. θ
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Practice Questions
Test your understanding with targeted questions
What are the three basis vectors in cylindrical coordinates?
💡 Hint: Think about the three dimensions in cylindrical space.
Explain what happens to e_r as θ increases.
💡 Hint: Consider the motion around a central axis.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What are the basis vectors in cylindrical coordinates?
💡 Hint: Visualize each coordinate and its direction.
True or False: The radial vector e_r remains the same as θ changes.
💡 Hint: Recall how e_r behaves in motion.
1 more question available
Challenge Problems
Push your limits with advanced challenges
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.
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.
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