3 - Complex Number Notation & Phasor Representation of SHM
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Practice Questions
Test your understanding with targeted questions
What is the real part of the complex amplitude A ~ = A e^(iϕ)?
💡 Hint: Think about Euler's formula.
What does a phasor represent in oscillatory systems?
💡 Hint: Consider the visualization of a rotating vector.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does a phasor represent?
💡 Hint: Think about the meaning of the rotating vector.
True or False: The real part of a complex number can represent physical quantities in SHM.
💡 Hint: Think about how we express trigonometric functions.
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Challenge Problems
Push your limits with advanced challenges
Given x(t) = 3 cos(ωt + π/6), derive the complex representation and analyze the implications of this phase shift.
💡 Hint: Use the formula for phasors in SHM.
If a system is described by the phasor A = 4e^(iπ/3) and rotates with an angular velocity of ω = 2 rad/s, determine the displacement at t = 2 seconds.
💡 Hint: Calculate the angle at t = 2 seconds and find the real part.
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