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Quantum Engineering Year 0: Mathematical Foundations Month 3Day 67

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Year 0·Month 3·Week 2

Day 67: Mechanical and Electrical Oscillations

Day 67 of 2,016~8 min read

Learning Objectives

•Model spring-mass systems with second-order ODEs
•Analyze free, damped, and forced oscillations
•Understand resonance and its consequences
•Model RLC circuits with differential equations
•See the analogy between mechanical and electrical systems

Today's Schedule (7 hours)

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Schedule Overview Learning Objectives Required Reading Primary Text Boyce DiPrima 11th Edition Part I Mechanical Vibrations 1 The Spring-Mass System Case 1 Undamped Free Oscillation SHM 2 Simple Harmonic Motion Key Features Example 1 Case 2 Damped Free Oscillation 3 Adding Damping 4 Three Damping Regimes Example 2 Underdamped Case 3 Forced Oscillations 5 External Forcing 6 Resonance Example 3 Resonance Part II RLC Circuits 7 Circuit Equation 8 Analogy Table 9 Natural Frequency and Damping Example 4 RLC Circuit Summary Oscillation Types Practice Problems Level 1 Simple Harmonic Motion Level 2 Damped Oscillations Level 3 Forced Oscillations Level 4 RLC Circuits Level 5 Advanced Answers Quantum Mechanics Connection Quantum Harmonic Oscillator Driven Quantum Systems Daily Checklist Preview Tomorrow

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