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PHY203

Oscillations and Waves

  • Sciences
  • 200 level
  • 2 credit units
  • 292 pages
  • 9 units

This course introduces the fundamental principles of oscillations and waves. It begins with an exploration of simple harmonic motion, covering concepts such as superposition, damping, and forced oscillations. The course then transitions to wave motion, examining wave propagation, reflection, transmission, and superposition. Special emphasis is placed on sound waves and their behavior in various media, providing a foundation for understanding more advanced physics concepts.

About this course

Difficulty
Intermediate
Study hours
150 hours
Maths
Intermediate
Content
Theoretical, problem solving
Practical work
Yes
Before you start
  • Basic Physics
  • Calculus I
  • Calculus II
How it is assessed
  • Assignments
  • Tutor Marked Assessments
  • Final Examination

One paragraph, so you can see how it reads

PHY203 · UNIT 1 SIMPLE HARMONIC MOTION

If the spring is stretched by pulling the mass longitudinally, due to elasticity a restoring force comes into play which tends to bring the mass back towards the equilibrium position (Fig l.lb). If the spring were compressed the restoring force would tend to extend the spring and restore the mass to its equilibrium position (Fig. l.lc).

What you should be able to do

  1. Explain the principles of simple harmonic motion
  2. Apply superposition to analyze complex oscillations
  3. Analyze the effects of damping and forced oscillations
  4. Describe wave motion and its properties
  5. Apply Huygens' principle to explain wave phenomena
  6. Analyze interference and diffraction patterns

What it prepares you for

Careers
  • Acoustic Engineer
  • Seismic Analyst
  • Telecommunications Engineer
  • Medical Imaging Technician
  • Aerospace Engineer
Where it is applied
  • Telecommunications
  • Medical Imaging
  • Aerospace
  • Civil Engineering
  • Music and Acoustics
Tools
  • Oscilloscope
  • Signal Generators
  • Spectrum Analyzers
  • Acoustic Simulation Software
  • Optical Interferometers

Where it gets hard

The units students slow down on, and what makes each one heavy.

  • Module 1: Oscillations

    Unit 1: Simple Harmonic Motion

    Advanced calculus integration techniques are required to fully grasp the concepts of energy transformation and average values.

  • Module 1: Oscillations

    Unit 3: Damped Harmonic Motion

    The mathematical derivations involving damping forces and their effects on oscillatory motion require a strong foundation in differential equations.

  • Module 2: Waves

    Unit 7: Waves at The Boundary of Two Media

    Understanding the relationship between wave impedance and energy transfer requires a solid grasp of wave properties and medium characteristics.

A suggested way through it

Suggested

13 weeks, about 65 hours in total. Yours will differ.

  1. Week 1Module 1: Oscillations
    • Unit 1: Simple Harmonic Motion · 5 hours

      Define simple harmonic motion and its characteristics.. Solve differential equations for SHM.. Compute potential, kinetic, and total energies in SHM systems..

  2. Week 2Module 1: Oscillations
    • Unit 2: Superposition of Harmonic Oscillations · 5 hours

      Apply the principle of superposition to harmonic oscillations.. Analyze collinear oscillations with same and different frequencies.. Explore oscillations in two dimensions..

  3. Week 3Module 1: Oscillations
    • Unit 3: Damped Harmonic Motion · 5 hours

      Establish and solve the differential equation for damped harmonic motion.. Analyze the effects of damping on amplitude, energy, and period.. Differentiate between weakly, critically, and heavily damped systems..

  4. Week 4Module 1: Oscillations
    • Unit 4: Forced Oscillations and Resonance · 5 hours

      Establish the differential equation for a forced oscillator.. Analyze the oscillator's response at different driving frequencies.. Compute resonance width and quality factor..

  5. Week 5Module 1: Oscillations
    • Unit 5: Coupled Oscillations · 5 hours

      Describe the effect of coupling on oscillations.. Establish equations of motion for coupled systems.. Analyze motion in terms of normal modes..

  6. Week 6Module 2: Waves
    • Unit 6: Wave Motion · 5 hours

      Define wave motion and its characteristics.. Distinguish between longitudinal and transverse waves.. Relate wavelength, frequency, and speed..

  7. Week 7Module 2: Waves
    • Unit 6: Wave Motion · 5 hours

      Establish wave equations for longitudinal and transverse waves.. Compute energy transported by a progressive wave.. Derive expressions for wave velocities..

  8. Week 8Module 2: Waves
    • Unit 7: Waves at The Boundary of Two Media · 5 hours

      Define wavefronts and apply Huygens' construction.. Explain reflection and refraction of waves.. Compute reflection and transmission amplitude coefficients..

  9. Week 9Module 2: Waves
    • Unit 7: Waves at The Boundary of Two Media · 5 hours

      Compute reflection and transmission energy coefficients.. Explain the Doppler effect.. Describe the formation of shock waves..

  10. Week 10Module 2: Waves
    • Unit 8: Superposition of Waves-I · 5 hours

      State the principle of superposition of waves.. Explain the formation of stationary waves.. Identify nodes and antinodes..

  11. Week 11Module 2: Waves
    • Unit 8: Superposition of Waves-I · 5 hours

      Describe the formation of wave groups.. Compute group velocity.. Explain the formation of beats..

  12. Week 12Module 2: Waves
    • Unit 9: Superposition of Waves- II · 5 hours

      Explain the phenomenon of interference.. Describe coherent sources.. Analyze interference patterns from two slits..

  13. Week 13Module 2: Waves
    • Unit 9: Superposition of Waves- II · 5 hours

      Explain the phenomenon of diffraction.. Differentiate between Fraunhofer and Fresnel diffraction.. Analyze Fraunhofer diffraction by a single slit..

Preparing for the exam

What to do
  • Create concept maps linking Units 1-5 oscillation concepts
  • Practice solving differential equations from Units 3 and 4 weekly
  • Review all SAQs and TQs from Modules 1 and 2
  • Focus on understanding wave properties in different media (Unit 6)
  • Practice applying Huygens' principle to reflection and refraction (Unit 7)

Questions students ask about this course

What is PHY203 about?

This course introduces the fundamental principles of oscillations and waves. It begins with an exploration of simple harmonic motion, covering concepts such as superposition, damping, and forced oscillations. The course then transitions to wave motion, examining wave propagation, reflection, transmission, and superposition. Special emphasis is placed on sound waves and their behavior in various media, providing a foundation for understanding more advanced physics concepts.

How many units does PHY203 have?

PHY203, Oscillations and Waves, has 9 units across 1 module, over 292 pages of course material. You can read it one unit at a time.

How many credit units is PHY203?

PHY203 carries 2 credit units, at 200 level in Sciences.

Is PHY203 hard?

PHY203 is rated intermediate level, with intermediate mathematical content. It is mostly theoretical and problem solving work, and it has a practical component.

How long does PHY203 take to study?

About 150 hours of study, spread across its 9 units.

How is PHY203 assessed?

PHY203 is assessed by Assignments, Tutor Marked Assessments and Final Examination.

What do I need before starting PHY203?

Basic Physics Calculus I Calculus II

What can I do with PHY203?

Acoustic Engineer, Seismic Analyst, Telecommunications Engineer, Medical Imaging Technician and Aerospace Engineer.

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