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14.55.
Model:
Assume that the angle with the vertical that the pendulum makes is small enough so that there
is simple harmonic motion.
Solve:
The angle
θ
made by the string with the vertical as a function of time is
( ) ( )
max
0
cos
tt
θω
φ
=+
The pendulum starts from maximum displacement, thus
0
0.
=
Thus,
( )
max
cos
.
=
To find the time
t
when
the pendulum reaches 4.0
°
on the opposite side:
()
(
)
( )
1
4.0
8.0
cos
cos
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This note was uploaded on 12/10/2011 for the course PHYS 1211 taught by Professor Geller during the Fall '09 term at UGA.
 Fall '09
 geller
 Simple Harmonic Motion

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