au - drexel universityeinstein.drexel.edu/~jschreck/phys201/lectures/lect1_one.pdf · hoh 'vn...

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Le~ye i ChQpkn- 13 POLiodlc HohoCfY1 -"'> - L'YI this e-hapkn. w-e ole.£d. ~..-/rt, c:t vvz-y spu..r'a( «t'y,d. CJf tnoricr, /<l10-z;5Y7 CVJ o,>u'lkd-cY-.:f (l-{'. pe.,'Ijod..ic rnoh'on. 1+ is a ?noh'6Y1 Iho.I 'YepeaJs °1.-1-.54· Tim« 'Ye.'[lAlyed. fey 0:-tt:-h o5cd(CthOr, ov ~ep;hHcrn is co.lld i"C1e. pentad.· It-- f~ jyY\ P()Y{-oV\f +0 iA ndeyc; f-a. ~d 111' lu f h o [Wy~ D IS . J ee. 0 - "rr: 0 On bccetuse t.f- ..J jY ~ e G<-f--C!j i", n CL f-u'<-e ~ Ho~~ Bf a mass oYJ a Sp rin 9 O;c..</ICl.f,'6n5 o.f U pV'ldlAlum Hoh'vn of - ec-hlh cv?{)und itie 5Llh 03u/lCLh'6)1 of a.JOYn5 /Yl Cl mo/ew{e or: a So {,'d r t OCUtYs 111 rmoYl 'j f--:'J pes of cuavemoh'(J}-1 ~ Soun&. (£JUlies, Q' I { ,- - h ah'dn . tv '7'ho eL-U-t:5 oS011a.k 0.-( o-ng the UV}e of- pYV ro... g 6f lru QCfve LiSht on& E [e chrJvn Q9}')e..h'c wa veS ~ E (-echi'c 0 VI d "Yl1 CLgn e..h 'c -P,"eid- S OSqlkde. pVt.p~i1diCvdo.TL f-o au UVlE'. of p v ol:>a,gcJ,6Yi 6( Ir:u coov«- Wo.. ( , ,- - B - '- n 'u k h,,..,hPnd..lllLIaIL - If e (]Y) a. "5 YlY).9 6'r CO Ive ; The. s fyi "'9 ?YH':U"~Y' c::v- 05 U o: r ....., ,- to n:u diye.c..h'crn Of 'fvofxt-ja..h'Gn (jf T0z. a>tll/e· '1-1- f-w-ms ou.t cvU Ihe5e p-e.hl'odl'c 1110h'(JYI aJU.. goveFl-ned. toy lite Sa.m~ basic. ~-YfY1c{pie. Whe.h 0. body 0 d 1'5plCtC£..d. fyDm 9zt't-h; e'lk(lihYlI}-W) p6slh'6Yl C\h:t ;~ yele..a~e.d..) a.. "fovC12 crY 0.. f<5,.,y ue C(ffy7e5 (n!-o p lClj QY\ct fr-J'e~ t-u pl.L!A ~ baJ<. I-ocu().;'7& ~u.i Uhyt'um - 8w- by !JLc. h'me U ge.-k mvu I U hQ./) p,'d<M t4> 56lY]e. /«ne./--,'c eYloz(f¥) 50 J- OVOL5hook I s hspplYl3 5·crmewhf-,'l.Q 0J1 nu. 0 Iheh.- 5i'J.-e au.d: o..8 o -f n /:1 p u..11 ecA bo.G/< f-ooJand . Qt( W U kfyt' LA ~. PI 'cfu).-e ti,. pend CA-/IAW1 {ho..J- 5uriY18S b a ck: lAnd f6yfh pet S + d-s Sh--a('9 h -J- - cl ourri- POSt'h'Oh' Pe.n-l'ocUc Moh'6Y1 of a mas> o...H-ache.d. fo a. sfJ'n'Y)9 . ~---------------------------------------- To n 'x o/.,V"1.. "d e£t 5 0... b 0 IA-+ PVlJ 0 o1.Jc ?'no h'an con S I'd eJ-L. a. Yn03$ rn Jl-aGhea!. fv d sPY/'n9 of negl/g/b/e -rnCt5sye>h'ng

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Page 1: au - Drexel Universityeinstein.drexel.edu/~jschreck/phys201/lectures/lect1_one.pdf · Hoh 'vn of - ec-hlh cv?{)und itie 5Llh 0 3 u/lCLh '6)1 of a.JOYn5 /Yl Cl mo/ew{e or: a So {,'d

Le~ye i ChQpkn- 13

POLiodlc HohoCfY1

-"'> -

L'YI this e-hapkn. w-e ole.£d. ~..-/rt, c:t vvz-y spu..r'a( «t'y,d. CJf tnoricr, /<l10-z;5Y7

CVJ o,>u'lkd-cY-.:f (l-{'. pe.,'Ijod..ic rnoh'on. 1+ is a ?noh'6Y1 Iho.I 'YepeaJs °1.-1-.54· Tim«

'Ye.'[lAlyed. fey 0:-tt:-h o5cd(CthOr, ov ~ep;hHcrn is co.lld i"C1e. pentad.·

It-- f ~ jyY\ P()Y{-oV\f +0 iA ndeyc; f-a.~d 111' lu f ho [Wy~ D IS . J ee. 0 - "rr:0 On bccetuse t.f-..J jY ~ e G<-f--C!j i", n CL f-u'<-e ~

Ho~~ Bf a mass oYJ a Sprin9O;c..</ICl.f,'6n5 o.f U p€V'ldlAlum

Hoh'vn of - ec-hlh cv?{)und itie 5Llh

03u/lCLh'6)1 of a.JOYn5 /Yl Cl mo/ew{e or: a So {,'d

r t OCUtYs 111 rmoYl 'j f--:'J pes of cuavemoh'(J}-1 ~

Soun&. (£JUlies, Q' I { , - - h ah'dn. tv '7'ho eL-U-t:5 oS011a.k 0.-( o-ng the UV}e of- pYV ro...g

6f lru QCfve

LiSht on& E [echrJvn Q9}')e..h'c wa veS~ E (-echi'c 0 VI d "Yl1 CLgn e..h 'c -P,"eid- SOSqlkde. pVt.p~i1diCvdo.TL f-o au UVlE'. of pvol:>a,gcJ,6Yi 6( Ir:u coov«-Wo.. ( , ,- - B - '- n 'u k h,,..,hPnd..lllLIaIL- Ife (]Y) a. "5 YlY).9 6'r CO Ive ; The. s fyi "'9 ?YH':U"~Y'c::v- 05 U o: r .....,,-

to n:u diye.c..h'crn Of 'fvofxt-ja..h'Gn (jf T0z. a>tll/e·

'1-1- f-w-ms ou.t cvU Ihe5e p-e.hl'odl'c 1110h'(JYI aJU.. goveFl-ned. toy liteSa.m~ basic. ~-YfY1c{pie. Whe.h 0. body 0 d 1'5plCtC£..d. fyDm 9zt't-h;

e'lk(lihYlI}-W) p6slh'6Yl C\h:t ;~ yele..a~e.d..) a.. "fovC12 crY 0.. f<5,.,yue C(ffy7e5 (n!-op lClj QY\ct fr-J'e~ t-u pl.L!A ~ baJ<. I-ocu().;'7& ~u.i Uhyt'um - 8w- by !JLc. h'me

U ge.-k mvu I U hQ./) p,'d<M t4> 56lY]e. /«ne./--,'c eYloz(f¥) 50 J-OVOL5hook I s hspplYl3 5·crmewhf-,'l.Q 0J1 nu. 0 Iheh.- 5i'J.-e au.d: o..8o-fn /:1p u..11 ecA bo.G/< f-ooJand . Qt( W U kfyt' LA ~. PI 'cfu).-e ti,. pend CA-/IAW1 {ho..J-

5uriY18S b a ck: lAnd f6yfh pet S + d-s Sh--a('9h-J- - cl ourri- POSt'h'Oh'

Pe.n-l'ocUc Moh'6Y1 of a mas> o...H-ache.d. fo a. sfJ'n'Y)9 .~----------------------------------------To n'x o/.,V"1.. "d e£t 5 0... b0 IA-+ PVlJ 0 o1.Jc ?'no h'an conS I'd eJ-L. a.

Yn03$ rn Jl-aGhea!. fv d sPY/'n9 of negl/g/b/e -rnCt5sye>h'ng

Page 2: au - Drexel Universityeinstein.drexel.edu/~jschreck/phys201/lectures/lect1_one.pdf · Hoh 'vn of - ec-hlh cv?{)und itie 5Llh 0 3 u/lCLh '6)1 of a.JOYn5 /Yl Cl mo/ew{e or: a So {,'d

(}Yl 0.. {r1c..hbnfe3S' SWLfa-Ctt.. ~shoCiJr} /n Ih<- f,81J..'re. Tht< o/hvz. -€lAdof ItU 5pY1'n3 is cU+aLhed 1-0 R flf.edbod;} OY co ce£( •If uie o(t'sp(auz 111€ 7Y>a5$ {r-t»n ~

x eqIt; ff' brl'urn pos iI--km by Q II) w body

ur711 -e.r: h... " 1_ , • 'L'b ', rue.. ehcQ C1. 11:'5 nJYfYl9 fuYCi2. Fx fcx..Do.Jzds the. -et(U( YIl-(rY)

Po5,H(;Y1._ aUd acce/tho..feS foUXJJ-zd.. 1i1~ et{LLiUh-;r/um poslf-rb-n cvj'!Ci

ax = ~. 8uj- Wh-en ~~ cernes /-0 -e..C(ui//br/um posih"'()r1 ~ 9C<..{'hS

k-t'''r)eh'c eh0z8'J a..-ud h~llCl!.. veLo~lr; i'n I~ ojaposik ctIYe.rj-kfYL CUAcl soU o'ven..shoo~s ew-d. sl-ev •.i-s ~p(pV7iwU2 ct reo /-eJy-t'YJ!) fayt./L In /!V.. 0ffb~ik

d'yeLh'(n'~a j;b spe..ed deer-eases CUAd 'u- ceJm~ Iv Cl sf£? be-juYet; f..tvz.1-ir>3 1-0 1?70 lie /'Yl ih.<.. po ~ "h've )(- d lye c-f,On Ci...80..1V1, T h ,'s 1<II., c(

af baJ(,-i'~ cu..t.4 foyth rnVh'tJ)1 fA)7rlAld. C571h"",ue frJY evOz,. (..{nl-c'~S' I~

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• . m a.gn;f-:-0e of, . ..1Ijmpl{ htde; denO J.ed. bco- A 10 The mo..xl?r)UYn d 15pla.c.eme~(_1- 'l'b' 'h f\']YTJm he e.rlrt; f rtu.rr, !?O5{ 'dYl'

~ple..p..e vt'bYa-h'on (JY cyc../e 7Y7e4.h$ oVJe rOl-lnd lYip e-s»\ .-- ' -

0... ---;> b -7' 0\. CIY' 0 -~ b - 0 -) a -.:r 0 .The: h"7'e pe.rt'ocl I 0 the. h'me =: u-1·Yed. fay an« CgmPie./-f

c..::J c,fe .

Ni): Yhben- of asrr-]»Ie-Ie CCJde S CJY v/ h va h'ans l=> s e ce;nd. /5>

Uvtled ttu freq4~ncy) f~ .If- hGV) w. u-nff of 45.-1 oyH~.

1"h~ ct :,gulatz.. /yeJfu.eVl0j tv 0 d-e-f-r"'Y\-eo.C. CV? -z.tt h"YYJ€S I~freru.e..nva- e.u -= -,~ 1/ f1+ 'Yet.- ,Lf.v ye5u'1~ ftU. ro--/-e of chCLU.J€ 6)- ct n Cf:hg vda.J7... ?f...Vi hh'b;; fhc.v(- .1rJ

Page 3: au - Drexel Universityeinstein.drexel.edu/~jschreck/phys201/lectures/lect1_one.pdf · Hoh 'vn of - ec-hlh cv?{)und itie 5Llh 0 3 u/lCLh '6)1 of a.JOYn5 /Yl Cl mo/ew{e or: a So {,'d

r ",L.U --

O 1_ ::: '2. Is = '2 H 2. ;;,SeL 0-

=- Lf IT ract/ See·2.H f

5,.n--.p ie 1-/CU7.- 'm 011 /c fvt0h'r!Y]

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1f1f.. .e.qtA_( 1,'6n'lAYh Fx ~ - =, k b n» pYCQ. (fYJ'S/a.v./-(J}-IJu spyi'n5' 1!j!JThe. '7Y1 ,"r,!A 5 S1'3h 0 in 5-en/-ed.. In rna../u. 5' LA-ye /7.1aJ- ~ .ei(UPh'dY]

5l1tnvs rrv. UrreLI- d. iyec.h6Y) CJ-f l"k£FCQ·

.$fYlu. fov'-G2.. ~:: m ax ) we gel- T1u ey {ACi.-'1'cD1 of si'mple

h tVL.mtm ic OsU'llo..h'o'>1 ~

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Page 4: au - Drexel Universityeinstein.drexel.edu/~jschreck/phys201/lectures/lect1_one.pdf · Hoh 'vn of - ec-hlh cv?{)und itie 5Llh 0 3 u/lCLh '6)1 of a.JOYn5 /Yl Cl mo/ew{e or: a So {,'d

1-0 H1e U) -::: rE fc;y fru ,IL ~ m SI m pIe han.man /c 'moh. -r' ' '1!.l" 5hotnl b" . &1. vol S COnr,' l ~ CtJmF/119 Th-e. 5'/~~/e. jlCifLYY)cm/C ')YJoh' 'H ~Lw~ YUl Q.n mol-! CiY) of Q. po.r I, (. c-i«te ,9t 6Y/ cct I n lJ.hl

fU' YYl

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Y(t):: A C05(Wt+<P)

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~H cjl) h call@. "'-'- pha5e of- mbf,'er1 cu.uJ cP ;., tue phase" L.. P. 1."':1d.. 4> A-... -rr-, ' 'I,,' .e : ( ' 'C&11:jr=f. au<- be ftJ uhd IF vn, ,nc rn IhoA Cf)71UA nOYJ -; r I .e'

iY}'-htJ. di7pCoLerneuf- Xo a-ud. l"'nt' h'cd Sp.-uz-d Va

~ rtu fl'gu'n: we S~ ihc<J

)( (t+T) := X(-t)

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-=;> W T -==- 'Ln ~ T - '2..11=7 •.. ---&)

thuS f = -..lr:= i%1· (Jy ..w - 2n{ - T =- z.nJ~-=-,l ~

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Page 5: au - Drexel Universityeinstein.drexel.edu/~jschreck/phys201/lectures/lect1_one.pdf · Hoh 'vn of - ec-hlh cv?{)und itie 5Llh 0 3 u/lCLh '6)1 of a.JOYn5 /Yl Cl mo/ew{e or: a So {,'d

We. CoVl a/50 ohfo(''YJ Speed. ct4d Qc-celUzah'cm Of SHH

L9-' d.x - Ll' .)x - dt- - - CUn SlY) Cwt-+¢

ctx :: 1; z: ~L =: - 4P-A Q;') ( tv l: + (f;»

l Urm,tl~ CDA ) la Y}X.Q)( I =- CJ ZATo find. A ahd <:P ~ fJU In/haJ... c.eJ"rlc:fA'h'6h I toe U~e

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A ::...J.L - 0 . D S· _ z: 0, 0 '7-; 9' rnctJ)tp U') (0 '(2n)

. -2) - (}. 2.bQ ht/5U'mct)( :: COA .:: i s ) ( SI 10 XII) - 1-

1. ....Z} - \ '35/nfsRma'f::: w?--- A=:{ S-) ( 5"~3o )(10 / -'

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