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]

slide2

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
slide6

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)

slide8
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.
slide10
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
slide11

Simple Harmonic Motion

  • 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
  • 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

slide13
A block on a frictionless table is attached to a wall with a spring. The block is pulled a distance d to the right of its equilibrium position and released from rest. It takes a time t to get back to the equilibrium point.

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?

slide14

Period and Amplitude

Identical Periods

Different Amplitudes

Identical Amplitudes

Different Periods

§14.1

next lecture
Next lecture
  • Applications of SHM
  • Read §14.1–14.3
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