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Chapter 15: Wave Motion

Learn about transverse and longitudinal waves, superposition principle, reflection and transmission of waves, interference of waves.

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Chapter 15: Wave Motion

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  1. Chapter 15: Wave Motion HW1: Chapter 15: Pb.4, Pb.7, Pb9, Pb.26, Pb.37, Pb.42 Due Wednesday, January 16

  2. Transverse and longitudinal waves https://www.youtube.com/watch?v=TfYCnOvNnFU

  3. 15-6 The Principle of Superposition Superposition: The displacement at any point is the vector sum of the displacements of all waves passing through that point at that instant. Fourier’s theorem: Any complex periodic wave can be written as the sum of sinusoidal waves of different amplitudes, frequencies, and phases. The amplitude here is the algebraic sum of the amplitudes of the component waves

  4. Adding waves

  5. 15-7 Reflection and Transmission A wave hitting an obstacle will be reflected (a), and its reflection will be inverted. A wave reaching the end of its medium, but is still free to move, will be reflected (b), and its reflection will be upright. (a) (b)

  6. 15-7 Reflection and Transmission A wave encountering a denser medium will be partly reflected and partly transmitted; if the wave speed is less in the denser medium, the wavelength will be shorter.

  7. Problem 37

  8. 15-7 Reflection and Transmission Two or three-dimensional waves can be represented by wave fronts, which are curves of surfaces where all the waves have the same phase. Lines perpendicular to the wave fronts are called rays; they point in the direction of propagation of the wave.

  9. 15-7 Reflection and Transmission The law of reflection: the angle of incidence equals the angle of reflection. θi=θr

  10. 15-8 Interference The superpositionprinciplesays that when two waves pass through the same point, the displacement is the arithmetic sum of the individual displacements. Interference is when two waves pass through the same region of space at the same time. In the figure below, (a) exhibits destructive interference and (b) exhibits constructive interference.

  11. 15-8 Interference These graphs show the sum of two waves. In (a) they add constructively; in (b) they add destructively; and in (c) they add partially destructively.

  12. Problem 42

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