46. Since the rope is fxed at both ends, then the phrase “secondharmonic standing wave pattern” describes
the oscillation shown in Figure 1721(b), where
λ
=
L
and
f
=
v
L
(see Eq. 1752 and Eq. 1753).
(a) Comparing the given ±unction with Eq. 1747, we obtain
k
=
π/
2and
ω
=12
π
(SI units understood).
Since
k
=2
π/λ
then
2
π
λ
=
π
2
=
⇒
λ
=4m =
⇒
L
=4m
.
(b) Since
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 Fall '08
 SPRUNGER
 Physics, Hertz, International System of Units, Kilogram, Metre, Standing wave

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