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Midterm

# ENGR 205 Midterm: ENGR 205 Unit 6 Study Guide Premium

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School
University of Louisville
Department
Engineering Fundamentals
Course
ENGR 205
Professor
Robinson
Semester
Summer

Description
ENGR 205 - Fall Unit 6 Study Guide Unit Content: Section Pages Content 4.10 223-229 Forced Vibrations, Resonance and Beats (Amplitude Modulation) 5.7 291-296 Simple Electric (RLC) Circuits 5.3 253-254 Normal Form for a System of Differential Equations 5.2 244-250 Introduction to Systems of Linear Differential Equations with Constant Coefficients, the Elimination Method 5.3 253-254 Converting an π π‘βOrder Differential Equation into a System 7.9 412-413 Solving Linear Systems with Laplace Transforms Learning objectives: A1. Find the equation of motion for a given damped, forced vibration systems. πΎ A2. Find the resonance frequency, πβ2π , for a given damped, forced vibration system. A3. Determine the equation of motion for a given undamped, forced vibration system at a resonance. B4. Write the solution π¦(π‘) to a given undamped system β²β² β² β β (ππ¦ + ππ¦ = πΉ cos0πΎπ‘ ,π¦ 0 = π¦ 0 = 0 with π β πΎ small (where = π ) π‘ as a product of a slowly varying sine function sin( π β πΎ2) and a more rapidly varying π‘ sine function sin( π + πΎ )2) B5. Given an RLC series circuit with specified voltage πΈ(π‘), resistance π, inductance πΏ, capacitance πΆ, initial charge on the capacitor π 0 , and initial current πΌ 0 , determine the charge π π‘ on the capacitor, and or the current πΌ π‘ in the circuit for π‘ > 0. B6. Solve a given system of differential equations using the elimination method. π‘β B7. Convert a given π order D.E. with specified initial
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