College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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how do i start using the class notes
![Newton's seconl law of motice gives the egation of tion for a long light exibie string, see
enatioe (14) of Chopter 2 in or test. We nd that all wwes wel, bat if we oontine the wve
te a slaguer cl a, <<L. then waven telag in oppunite diects in he space ce a
"standing wae which appees to be going owle. Aing the string in fanl with sero
pirude ats, but free to oillate atsL find all the sohtions of the stunding wve probim
Provide a covicing plysical arguent kr the bedary condition at =L Fiad the plase
laetor eaàlutioa ig the oacillatione beau at see
plitale at t-a
Cons
on dimunsiona madion?
gstens of manny Dor
Shing's timsion is To.
to lave ao
Countably infenst, sot t of eliman te of he sut
be pat in t5 a one-on- one conmasp Senee with the Zi tigen
24. shope of shing
Umcountabdy in fantte sad : mambere of the sat
Comespond to ALL dements of TR
string under temsion: To
O agume a string has a whifarm mass densit
O (weigh sting /7 =m
Te Cas Oe > T, easə Engunes no motion of Am
along z.
D= 2R
T, Cos On Ž To
Tz Cas Oz E To
seles Nowitons and low fon infåristasimal she d
Fret = Te sim O - T, sim @,
= T2 Cos Oz tam Oz-T, Cos O, tan Ai
= To tan Oz-To ten Oo
Good approximation L >>>0z
Jap lano
distance
T. J2 0
- To ə4
=zz →アー)
aY - dupand abaut zi. Expand w/Taglen.
ze
-2.)
se due = due
In linaan appnarimatióon: Antiaipoding lim Zzes 2,
Eanlier we naive lose [P] = ks when
ん
2.
21
fon a Bineen systen Pik
Fret To Az y sames we hove Let Zz > Z, .
Sabetitut P (4) inte the DE
Lt's go all lle way to taking the limit of a
finitnad fon a2 :
「vュ
Thne is a charoctuiste speed for al
Y (ーレとSr
ate
DE is salistied
Jzソ](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F50130201-d9ba-49f8-bcaa-a82c73687787%2Fc13fbd05-06cd-4b18-a1b8-720f31f01071%2Fznsieh8_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Newton's seconl law of motice gives the egation of tion for a long light exibie string, see
enatioe (14) of Chopter 2 in or test. We nd that all wwes wel, bat if we oontine the wve
te a slaguer cl a, <<L. then waven telag in oppunite diects in he space ce a
"standing wae which appees to be going owle. Aing the string in fanl with sero
pirude ats, but free to oillate atsL find all the sohtions of the stunding wve probim
Provide a covicing plysical arguent kr the bedary condition at =L Fiad the plase
laetor eaàlutioa ig the oacillatione beau at see
plitale at t-a
Cons
on dimunsiona madion?
gstens of manny Dor
Shing's timsion is To.
to lave ao
Countably infenst, sot t of eliman te of he sut
be pat in t5 a one-on- one conmasp Senee with the Zi tigen
24. shope of shing
Umcountabdy in fantte sad : mambere of the sat
Comespond to ALL dements of TR
string under temsion: To
O agume a string has a whifarm mass densit
O (weigh sting /7 =m
Te Cas Oe > T, easə Engunes no motion of Am
along z.
D= 2R
T, Cos On Ž To
Tz Cas Oz E To
seles Nowitons and low fon infåristasimal she d
Fret = Te sim O - T, sim @,
= T2 Cos Oz tam Oz-T, Cos O, tan Ai
= To tan Oz-To ten Oo
Good approximation L >>>0z
Jap lano
distance
T. J2 0
- To ə4
=zz →アー)
aY - dupand abaut zi. Expand w/Taglen.
ze
-2.)
se due = due
In linaan appnarimatióon: Antiaipoding lim Zzes 2,
Eanlier we naive lose [P] = ks when
ん
2.
21
fon a Bineen systen Pik
Fret To Az y sames we hove Let Zz > Z, .
Sabetitut P (4) inte the DE
Lt's go all lle way to taking the limit of a
finitnad fon a2 :
「vュ
Thne is a charoctuiste speed for al
Y (ーレとSr
ate
DE is salistied
Jzソ
![clas spae.
If N. Const. then
Sepatim of vninhles : Mz4)= A(@) en
- A/2), GIB) → p(2,4) =A(2)B14)
Racemmended to e "aparatinn of vaniadehs? to
selve the LDE.
de = FV We love a traveling wo e squation.
afe
firnd
6-6 (wt +e) = Cas (6sd +e) (cloies)
Satatitt the sum into Hle LDE
dz
26--0 sim (st +6)
Simco as(0) = 1 then anly Alz) = A sim (kz)
- w*AlZ) cos(wd +6) -VV Cas lest +6) aA
Alz=0) -0
Alz-L):0
nte
PE A Rove wnits "melng"
KZ= [x][z] • nadians
Treuking
-AU waves are
¥AO
2]: mitns =LE]= radians
Waves
trowbing
Standing
DA+@ A(2) - 0 Cundaig canditions (o
Bounday candistions
Asin(k-L) =0
wave (spacial case of treuding waves)
- The wave is canfinied muchenically to a
fru - firet
fnse - free
Znos of ane
haois timl
An 2L
Al2)- Asin (knz)
n-2 2 L h=2:k2 = .
2
%23
dA = KnA Cas(knz)
h=3 dz=3L no3:Kg=
-kň A simlkn Z)
dzz
- kň A sim (Knz) + (Wn A sim (Knz)
Ku= 22 =
%3DL
U =fndn
Kn >o
Kn- Wn
V- Wn
Fn
2ntn
Wn](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F50130201-d9ba-49f8-bcaa-a82c73687787%2Fc13fbd05-06cd-4b18-a1b8-720f31f01071%2F494mb7u_processed.jpeg&w=3840&q=75)
Transcribed Image Text:clas spae.
If N. Const. then
Sepatim of vninhles : Mz4)= A(@) en
- A/2), GIB) → p(2,4) =A(2)B14)
Racemmended to e "aparatinn of vaniadehs? to
selve the LDE.
de = FV We love a traveling wo e squation.
afe
firnd
6-6 (wt +e) = Cas (6sd +e) (cloies)
Satatitt the sum into Hle LDE
dz
26--0 sim (st +6)
Simco as(0) = 1 then anly Alz) = A sim (kz)
- w*AlZ) cos(wd +6) -VV Cas lest +6) aA
Alz=0) -0
Alz-L):0
nte
PE A Rove wnits "melng"
KZ= [x][z] • nadians
Treuking
-AU waves are
¥AO
2]: mitns =LE]= radians
Waves
trowbing
Standing
DA+@ A(2) - 0 Cundaig canditions (o
Bounday candistions
Asin(k-L) =0
wave (spacial case of treuding waves)
- The wave is canfinied muchenically to a
fru - firet
fnse - free
Znos of ane
haois timl
An 2L
Al2)- Asin (knz)
n-2 2 L h=2:k2 = .
2
%23
dA = KnA Cas(knz)
h=3 dz=3L no3:Kg=
-kň A simlkn Z)
dzz
- kň A sim (Knz) + (Wn A sim (Knz)
Ku= 22 =
%3DL
U =fndn
Kn >o
Kn- Wn
V- Wn
Fn
2ntn
Wn
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