Physics 7C
DLM 01 Overview
DLM 01
Model:
Simple Harmonic Motion
Act
8.1.1
A Review
of
Simple Harmonic Motion
(~90 min)
Learning Goals:
•
To interpret the mathematical expression y(t) = A sin(2
π
t/T +
φ
)
•
To understand how this expression describes the motion of an oscillating object
•
To understand the meaning and function of the fixed phase constant,
Model: Plane Waves
Act
8.1.2
What Exactly is a Wave?
(~50 min)
Learning Goals:
•
Clearly establish how a wave differs from an oscillation
•
Becoming familiar with the independent parameters of waves and what determines their values
•
Understanding polarization of waves
•
For harmonic waves, understanding why wavelength is a dependent parameter
General Announcements
y
Read the SHM Supplement and the first portion of the Course Notes on Waves (both found on the
course web page ).
y
Download and print the Course Notes if you want a hard copy.
They will not be sold at Navin’s
or the Bookstore.
y
Be sure to regularly check the course web page for announcements regarding quizzes, etc.
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View Full DocumentPhysics 7C
Activity 8.1.1
DLM 01
A Review of Simple Harmonic Motion
A) Quick Review of Sinusoidal Functions
In your table group
1) First, the easy part.
Consider the function y = A sin(
θ
) where A is a constant.
On the board, draw a
graph of y(
θ
) for at least 4 complete repetitions of the function.
Label the horizontal axis with both
degrees and radians.
What is the maximum value, y
max
, that y can have?
For the following questions
about angles, answer with both degrees and radians.
What values of
θ
give you y = y
max
?
How are these
values for
θ
related to each other?
What is the minimum value, y
min
, that y can have?
What values of
θ
give you y = y
min
?
How are these values for
θ
related to each other?
Put your responses on the board.
2) Now a little harder.
Write your answers on the board.
Suppose that
θ
changes linearly with time, t, as
follows:
θ
= (2
π
/T) t.
So now y = A sin[(2
π
/T) t]. Does everything in the square brackets, [ ], after “sin”
give an angle in degrees or radians?
How do you know?
a)
What value does
θ
have at t = 0?
At some time, t
1
later than t = 0, the value of y will be a maximum,
y
max
, for the first time.
How big is y
max
?
What is
θ
when y = y
max
for the first time after t = 0?
Now
that you have
θ
for this first y = y
max
, you can find t
1
; write t
1
on the board.
b) At some later time, t
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 Winter '09
 DAVID
 Physics, Simple Harmonic Motion, Transverse wave, Mathematical Expression, wave properties, plane waves

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