Phys 1001 oscillations and waves
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PHYS 1001: Oscillations and Waves. Stream 3&4: Dr Rongkun Zheng Dr Darren Hudson [email protected] [email protected] Streams 1&2: Dr Helen Johnston Rm 213. Ph : 9036-9259 [email protected] My research: black holes in binary star systems

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Phys 1001 oscillations and waves
PHYS 1001:Oscillations and Waves

Stream 3&4:

DrRongkunZheng

Dr Darren Hudson

[email protected]

[email protected]

Streams 1&2:

DrHelen Johnston

Rm 213. Ph: 9036-9259

[email protected]


  • My research:

  • black holes in binary star systems

  • supermassive black holes in the centres of galaxies


Module outline
Module Outline

  • 10 Lectures

  • Lab + tutorials + assignments

    • Assignment #6 due 7 June

  • “University Physics”, Young & Freedman

    • Ch. 14: Periodic Motion

    • Ch. 15: Mechanical Waves

    • Ch. 16: Sound and Hearing


Overview
Overview

  • L1: Intro to Simple Harmonic Motion (SHM)

  • L2: Applications of SHM; Energy of Oscillations

  • L3: Simple and Physical Pendulums; Resonance

  • L4: Intro to Mechanical Waves

  • L5: Wave Equation and Wave Speed

  • L6: Interference and Superposition

  • L7: Standing Waves; Normal Modes

  • L8: Sound Waves; Perception of Sound

  • L9: Interference; Beats

  • L10: Doppler Effect; Shock Waves



What is an oscillation?

  • Any motion that repeats itself

  • Described with reference to anequilibrium positionwhere the net force is zero, and arestoring forcewhich acts to return object to equilibrium

  • Characterised by:

    • Period (T) or frequency (f) or angular freq (ω)

    • Amplitude (A)

§14.1


Test your understanding
Test your understanding

  • Consider five positions of the mass as it oscillates: 1, 2, 3, 4, 5

(1) (2) (3) (4) (5)


Where is the acceleration of the block greatest?

  • position 1

  • position 2

  • position 3

  • position 4

  • position 5


Test your understanding1
Test your understanding

  • A mass attached to a spring oscillates back and forth as indicated in the position vs. time plot below.


A mass attached to a spring oscillates back and forth. At point P, the mass has

  • positive velocity and positive acceleration.

  • positive velocity and negative acceleration.

  • positive velocity and zero acceleration.

  • negative velocity and positive acceleration.

  • negative velocity and negative acceleration.

  • negative velocity and zero acceleration.

  • zero velocity but is accelerating (positively or negatively).

  • zero velocity and zero acceleration


Simple Harmonic Motion point P, the mass has

  • Suppose the restoring force varies linearly with displacement from equilibriumF(t) = –kx(t)

  • Then the displacement, velocity, and acceleration are all sinusoidal functions of time

    • This defines Simple Harmonic Motion(SHM)

  • Period/frequency depend only on k and m with ω = √(k/m) (does not depend on amplitude!)

§14.2


Shm circular motion
SHM & circular motion point P, the mass has

  • An object moves with uniform angular velocity ω in a circle.

  • The projection of the motion onto the x-axis is x(t) = A cos(ωt + φ)

  • The projected velocity & acceleration also agree with SHM.

  • Every kind of SHM can be related to a motion around an equivalent reference circle.

§14.2

12


d

If instead the mass is pulled a distance 2d to the right and then released from rest, how long will it take to get back to the equilibrium point?


Period and Amplitude spring. The block is pulled a distance

Identical Periods

Different Amplitudes

Identical Amplitudes

Different Periods

§14.1


Next lecture
Next lecture spring. The block is pulled a distance

  • Applications of SHM

  • Read §14.1–14.3


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