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80. (a) Since the string has four loops its length must be two wavelengths. That is,
λ
=
L
/2, where
λ
is the wavelength and
L
is the length of the string. The wavelength is related
to the frequency
f
and wave speed
v
by
λ
=
v
/
f
, so
L
/2 =
v
/
f
and
L
= 2
v/f
= 2(400 m/s)/(600 Hz) = 1.3 m.
(b) We write the expression for the string displacement in the form
y
=
y
m
sin(
kx
) cos(
ω
t
),
where
y
m
is the maximum displacement,
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This note was uploaded on 04/16/2011 for the course PHYSICS 191262 taught by Professor Najafzadeh during the Spring '09 term at The Petroleum Institute.
 Spring '09
 NAJAFZADEH
 mechanics

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