The time for one cycle of a periodic process is called tzd:a ryz mvfo q1e71f:)g ),ywhe

  For a periodic process, thephuxb+w g pv yo+l1s) mip,mp jki/74)6 wi,t+ number of cycles per unit time is called the

  For vibrational motion, the maximum displacement from the equilibriumg3jbyw brk2o(xx9mwh5nd , :3 point is called thndwm kx(9j g,:x25 w o3bhb3rye

  A mass on a spring undergoes SHM. When the mass is at its maximum t 1u0)q 7qm86lggfi:e ik7zstdisplacement from equiliukli0sti17m67qe t) : qz gf8gbrium, its instantaneous velocity

  A mass on a spring undergoes SHM. Whe j).j/lyqkva 4n the mass passes through the equilibrium posi 4jkl)ay.v/jqtion, its instantaneous velocity

  A mass on a spring undergoes SHM3 9v2 yojciqw6. When the mass is at maximum displacement from equilibriumvyi q 9c2j3ow6, its instantaneous acceleration

  A mass is attached to a vertical spring and bobs up and down ben,t 6a;+fniavk o f65ohht 7*ftween points A and B. Where is the mass located whenhf5hkoatt fi *n +oa,676vf; n its kinetic energy is a minimum?

  A mass is attached to a vertical sprinih 2 7kbjt,z/bg and bobs up and down between points A and B. Where is the mass loca 2 ,/izbhjtbk7ted when its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up and down bet7 y)ni5lc h, 1hyiyo/ans0kd 9ween points A and B. Where is the mass locatl siciohnh yykd 5)0n1y9a, 7/ed when its potential energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down betfetkla7*-4i ,f 0jvjzween points A and 07 jf,f4 vz*jtl-kie aB. Where is the mass located when its potential energy is a maximum?

  Doubling only the amx ;mtzxtsr+ ./plitude of a vibrating mass-and-spring system produces what effect on the system's mechan xsx+t;t/.m rzical energy?

  Doubling only the mass of a )0rt*r*bu9eq kji :om vibrating mass-and-spring system produces what effect on the systemrqit*:u0 oj*e b )mr9k's mechanical energy?

  Doubling only the spring constant of a vibrating mass-and-s ) 2: usvwk4be) apk2b8hjbz4wpring system produces what effect on the system's mechanical enebkpswzk2 h8 4b)vb)2j aw:e4 urgy?

  A mass oscillates on the end of a spring, both on Earth a brl ;mn6cspsx39v 70ynd on the Moon. Where is the period the greates07xrn bss6 3l9mvyp;c t?

  Increasing the spring constant en/ 33a(e9atx7j o16 i4iquod r7tarsk of a mass-and-spring system causes what kind of change in the resonant frequency of the system? (Assume no change in the systei3ea74d9r3s q jr a/ uxan 1oo7it(te6m's mass m.)

  Increasing the mass M of a mass-and-spring system ca),)j/zta8-y1zsw cvqf9tr vz uses what kind of change in the resonant frequency of the system? (Assume noyctv9 8z-z ,jzv1rtqwf/) )a s change in the system's spring constant k.)

  Increasing the amplitude of a mas*yh88e;auvyrbe5s n/ s-and-spring system causes what kind of change in the resonant frequency of the system? (Assume no other changes in eeryv8;5/nh yu s8ba*the system.)

  A mass $m$ hanging on a spring has a natural frequency f. If the mass is increased to $4m$, what is the new natural frequency?

  A simple pendulum consists of a ma7a)i fk .i9cf+i/,hnx ri5tjgss M attached to a weightless string of length L. For this system, when undergoing small tin ,fii)xj.97k /g5afi c+rhoscillations

  When the mass of a simple pendulum is tripled, the tiy4hnwp z0nr,, me required for one complet4p,z, nnry h0we vibration

  Both pendulum A and B are 3.0 joml1:g q) ozou.o;f;.qx, rzm long. The period of A is T. Pendulum A is twice as heavy as pendulum B. What is the plqmo uq;oz ;1xgo:zjr,)o .f .eriod of B?

  When the length of a simple pendulum is trnh7dcc*lgq:60v5l5 hbu c g4vipled, the time for one complete vibration increaq5cgn:7vclhld*c hg 6 ub4v0 5ses by a factor of

  What happens to a simple pendulum's frequency if c 3p.xelg81b qboth its length and mass are increased?x.pg q8eb3 c1l

  Simple pendulum A swings back and forth at twice the frer3 6 9n6ovmdpequency of simple pendulum B. Which stav36 deomr69nptement is correct?

  If you take a given pendulum to t-nha;y8a 9 +m2 ; shv8zctvlhnhe Moon, where the acceleration of gravity is less than th-aszhl +m89n;v8a;2 hy cvn on Earth, the resonant frequency of the pendulum will

  Curve A in Fig. 11-1 represe6 t7rpugj,aiw,g a*e0nts

  Curve B in Fig. 11-1 representss x:btz ba:2il2 bcma2g 7ls63

  Curve C in Fig. 11-1 reps6p(kv,q9 k) uya6 hhkresents

  For a forced vibration, the amplitude of vibration + o;av e)o4/ /g0l1fu +kncxx zyptn4mis found to depend on the

  In a wave, the maximu7zncp-i fp5 irxa r0-.m displacement of points of the wave from equilibrium is cai57p0rz- rc nixap.-f lled the wave's

  The distance between successive crecc;nn)ymru0uqnc ;9p x-/cy 2sts on a wave is called the wave's

  The number of crests of a wave passing a point per unit time 0.we . hqql-p*(v wtupis called the wave'0wvp-(wh p.*qqet u .ls

  For a wave, the frequency times the wavelength is the wave'z;wjmkziu6.v0m kr+ 5 s

  The frequency of a wave increases. Whvbul9c.2 : l3rp:oy la ()dqfbat happens to the distance between successive crests if lfl29b 3 a:b.coyv)d( p:qrluthe speed remains constant?

  A wave moves on a string with rcm ieft8iaa ;7.hv+-wavelength l and frequency f. A second wave on the same string h aam fh+ict7r-;ie .8vas wavelength 2l and travels with the same velocity. What is the frequency of the second wave?

  Consider a traveling wave on a string of length L, mass M, e3 ntqtwlmq: )g g ,oh(ast*.;and tension T. A standing w thmg,et*.; aw 3)q:tqson( glave is set up. Which of the following is true?

  A string of mass m and length L is under tension T. The speed ofvaok s1t6*pd/e: ;jfa a wave in the string is v. What will be thv a;kp*tdj ao 6f/e:s1e speed of a wave in the string if the mass of the string is increased to 2m, with no change in length?

  A string of mass m and length L is under tension T. Theorx(2;yxhf(2, yt8 h3zjyze;1pj, b8gk hp aj speed of a wave in the string is v. What will be the speed of a wave in the string if the 2(;jy8a8hotpyp j,b,2 zxex3k ; g hzyhjf(r1length is increased to 2L, with no change in mass?

  A string of mass m and length L )e:sux8yzk4 xis under tension T. The speed of a wave in the string is v. What will be the speed of a wave in the string if the tension is increased to 2Tusx 8 :)zk4xey?

  In seismology, the S wave is a transverse wave. As an S wave travels throtnw-wn u /szl19 v0g8qugh the Earth, the relatq /ngsnzv 1098ww-tlu ive motion between the S wave and the particles is

  In seismology, the P wave is a longitudinal wave. As a P wave trav nv7rsli*0*. 0(gz jy .vczzdtels through the Earth, the relative motion between the P wavi(lz*j 0n*7vt z v.yscr0. dgze and the particles is

  The intensity of a w yqx.h1x8 pan6c*p ;gqave is

  A wave pulse traveling to the right along a thin cordty yhi0at3d 67 reaches a discontinuity where the rope becomes thicker and heavier. What is the orientatio 06y3h7 dyattin of the reflected and transmitted pulses?

  Two wave pulses with equal pos.f5wf95ax1sr qih 3p.eop4hpitive amplitudes pass each other on a string, one is traveling toward the right and the other toward the left. At the point that they occupy t xqi3o1p4 .5 pwf5f hr9.hpasehe same region of space at the same time

  Two wave pulses pass each other on a -h ka9oso8s.k string. The one traveling toward the right has a9a oos-kh8.sk positive amplitude, while the one traveling toward the left has an equal amplitude in the negative direction. At the point that they occupy the same region of space at the same time

  Resonance in a system, such as a string fixed at both ends, occust bdyyb/tr )9,n fx/4rs when

  If one doubles the tension in a violin string, the ::zv6xdrw1s zd *i om+fundamental frequency of that string will ini+z: d w*z16dmrvsxo: crease by a factor of

  What is the spring constant of a spring that stretches 2.00 cm when a mass of 0. igc//w(( uivn6/vcnuwii/ g ((00 kg is suspended from it?

  A mass is attached to a spring of spring constant 60 N/m along a horizontal,k*py(i.:st*xq e uaa 3 frictionless surface. The spring is initially stretched by a force of 5.0 N on the mass and let go. It takes the mass 0.50 s to go b3tx ka**qus .aei yp(:ack to its equilibrium position when it is oscillating. What is the amplitude?

  A mass is attached to a spring of sprk/ d gcpafsuq ljn-,,:x83anjh9g0* iing constant 60 N/m along a horizontal, frictionless surface. The spring is initially stretched by a force of 5.0 N on the mass and let go. It takes the mass 0.50 s to go back to its equil3l8nuad,gj n cx /,:ja ih0s*q gp-kf9ibrium position when it is oscillating. What is the period of oscillation?

  A mass is attached to a spring of spring constant 60 N/m along a horizo-l tb) f: lni3c6x32ghs) qy.hqnarq 1kuii 0+ntal, fricttl) 2sii q:ygin) r63q01 .ahkl-q3+bchn f xuionless surface. The spring is initially stretched by a force of 5.0 N on the mass and let go. It takes the mass 0.50 s to go back to its equilibrium position when it is oscillating. What is the frequency of oscillation?

  A mass on a spring undergoes SHM. It goes through 10 complete oscillations in;6rduub m/rz b6v9. sdw/6v tv 5.0 s. What is the pv. ;r96mwd t //vbr6d uu6bzvseriod?

  A mass vibrates back and forth froenw+2qdhhc ar uw :qn*5/vw+5m the free end of an ideal spring of spring constant 20 N/m with an amplitude of 0.30 m. What is the kinetic energy of this vibrav h5qanrd+u5 nw+:e2 /*hqw cwting mass when it is 0.30 m from its equilibrium position?

  A 0.50-kg mass is attached to a spring of spring cotf-p ozclr3g9djv/7a +rp+ 7dnstant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s a/rr 9cp+adjd7 z fgo7+t 3lpv-t the equilibrium position. What is the total energy of the system?

  A mass undergoes SHM with amplitude of 4 cm. a0,xgi kr0u bbw-)wg3The energy is 8.0 J at this time. The mass is cut in half, and the system is again set in motion with amplitude 4.0 cm. What is the energy of the system no , a)wgxwb-ruigk300b w?

  A 0.50-kg mass is attached to a spring of sprinj*sm9765 +vdbtau3 uiitl 3c pg constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s at the equilibrium position. What is thetsmlu+cu 75i9bivpd a363t *j amplitude of vibration?

  A 0.50-kg mass is attached to a spring of sprin+ re9j0dupp; 6zfrk 60-kvvaag constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmv rue;a z0aj6k96p0d-f r +vpkonic motion and has a speed of 1.5 m/s at the equilibrium position. At what location are the kinetic energy and the potential energy the same?

  A 2.0-kg mass is attached to the end of a horizontal spring of spr2-xij1cybv d9ing constant 50 Nicbyj-21 xvd9 /m and set into simple harmonic motion with an amplitude of 0.10 m. What is the total mechanical energy of this system?

  A 2.0-kg mass is attached to the endr*khqkpvm +rcr-0+t5m + dmvpv3 iiq2 :k)h)g of a horizontal spring of spring constant 50 N/m and set into sirvk r ir-gk+3+ h)t+mq5mmv 2 icv)0*:qdkphpmple harmonic motion with an amplitude of 0.10 m. What is the total mechanical energy of this system?

  A mass vibrates back and forth from the free end of an ideal spring of spring mbyl), 8 db9ndconstant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kinemdynb,b8) 9dl tic energy of this vibrating mass?

  The mass of a mass-and-s8sd, u( 04ihvom 2lyivpring system is displaced 10 cm from its equilibrium position and released. A frequency of 4yd, 2 v( iv08u4iohlms.0 Hz is observed. What frequency would be observed if the mass had been displaced only 5.0 cm and then released?

  A 4.0-kg object is attached to a spring iio8e q v.sa*/v 6o;dd +udf x2l:gb-kof spring constant 10 N/m. The object is *o2. le is bfg:x-a/;uk+dqvvo 8di6ddisplaced by
5.1 cm from the equilibrium position and let go. What is the period of vibration?

  A 4.0-kg object is attached to a spring of spring constant 10 N/m.ycfy zc .co;o 0wdms0di8;8x( The object is d md;8c0x. w8yzo(c 0oc;df syiisplaced by
5.1 cm from the equilibrium position and let go. What is the frequency of vibration?

  A 2.0-kg mass is hung from a spring of spring ;f6x2cf.wlsv g9egksck/.7cwm m6/o constant 18 N/m, displaced slightly from its equilibrium position, and released. Whatws6gvc . g. /xfs6kc;l2k/wm9cmefo7 is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequ9pyi.wk 5 gh7lency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. giy59 wlhp 7k. What is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to different springs. Mass 8 kzvji9nb7p3r m/u: cA vibrates with amplitude of 8.0 cm at a frequency of 10 Hz and mass B vibrates with amplitude of 5.0 cm at a frequency of 16/ cj3nzpk8r9mu:i7bv Hz. How does the maximum speed of A compare to the maximum speed of B?

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass s( peawiw s2f.(tretches the spring 2.0 cm downward. The mass is t ip.a we2s(w(fhen pulled an additional distance of 1.0 cm down and released from rest. Calculate the period of oscillation.

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass stretches the s7xby+-5ittt8b- ho9 efb v:sepring 2.0 cm downward. The mass is then pulled an additional distance of 1.etf -- ebo5i7+s:9v txbt8 bhy0 cm down and released from rest. Calculate the total energy of the system.

  A 0.30-kg mass is suspended on a spring. Iw7; ph0jkk, fon equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional dis7w fj;,0kpkho tance of 1.0 cm down and released from rest. Write down its equation of motion.

  An object in simple harmonic motion obewzkp5nab/ ( kn* hy,p1ys the following position versus time equatih*p1k,yna /wk zbpn5( on:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple hyzy8/ j,yrth9cre,*x r5yd c/armonic motion obeys the following position versus time equat5z,j9r /8y,r r /dyehy*tccyxion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the followi:zqs:3t 0pbdsgyp* f 9ng position versus time equ:t 9fdgs b:p0s*y pqz3ation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring exn9 adr:a ;(tbmjwb qrbb2 ;-4oecutes simple harmonic motion according to the equatio rb4dwn(-:tobar;q2 b 9 b;amjn $y = 0.50 \; \sin (18\pi \times t)$ where y is in meters and t is seconds. What is the period of vibration?

A 1.5-kg mass attached to spring with a force constant of 20lxcm8t9 ,a .w0pmaos).0 N/m oscillates on a horizontal, frictionless track. At t= 0, the mass is released fro9 wxa).a8tm 0slcmp, om rest at x= 10.0 cm. (That is, the spring is stretched by 10.00 cm.)
(a) Determine the frequency of the oscillations.
(b) Determine the maximum speed of the mass. Where does the maximum speed occur?
(c) Determine the maximum acceleration of the mass. Where does the maximum acceleration occur?
(d) Determine the total energy of the oscillating system.
(e) Express the displacement as a function of time.

  A pendulum makes 12 completnwr2zn ed5d*j aw(q 4-e swings in 8.0 s. (a) What are its frequency and periodnnjd 5(4z*qe a-d2rww on Earth?

  A 3.00-kg pendulum is 28.84 m long. What is its period:hi sttrhf0nk-bb v(8f;/ x)x on Earth?

  A pendulum has a period of 2.0 s on Eart*t.tu(y yy ufb+z3*x b76wqq uh. What is its length?

  The pendulum of a grnu 2/ 0zndula(andfather clock is 1.0 m long. What is its period on the Earz(2l 0uunan/dth?

  The pendulum of a grandfather clock is 1.0 m long. What is its perio+u*rmufq:a,y t *hq.j vo 6/lnd on the Moon where the acceleration due to gravity is ,*o.ytqqv+u/lurf: mjh*6 anonly $1.7 \; m/s^2$?

  A simple pendulum con*8e)w9: x; q djcdmxo ec+/b+ kyen1tysists of a 0.25-kg spherical mass attached to a massless string. When the mass is displaced slightly from its equilibrium position and released, the pendulum swings back and forth with a frequency of 2.0 Hz. What frequency would have resulted if a 0.50-1 qcy+e/dey )kxc89dx+nmbwo;:et j*kg mass (same diameter sphere) had been attached to the string instead?

A simple pendulum consisting of a 20-g mass has initial angular displac5ox(oznt8 f9 ty*un.k ement of 8.0e. It oszxkt95yt. *ono(u8 fn cillates with a period of 3.00 s.
(a) Determine the length of the pendulum.
(b) Does the period of the pendulum depend on the initial angular displacement?
(c) Does the period of the pendulum depend on the mass of the pendulum?
(d) Does the period of the pendulum depend on the length of the pendulum?
(e) Does the period of the pendulum depend on the acceleration due to gravity?

  Figure 11-2 is a "snapshot" of a wave at a given time. of6ik 6 cj;k(l5 )uq8 qudyxj/ The frequency of the wave is 120 Hz. What is the amplitkc6x olq y ;qf dj5jk8u)/u(6iude?

  Figure 11-2 is a "snapshot" of a. xj ip9ob6vw; wave at a given time. The frequency of the wave is 120 Hz. What is the wavbv xiw.p 96oj;elength?

  Figure 11-2 is a "snapshot" of a wave at a gi2nu(dphgvn1 )ven time. The frequency of the wave is 120 )n1n uh(gpv2 dHz. What is the wave speed?

  What is the frequency of a wave which has a perio:miq8 c0y4q ypd of 6.00 ms?

  What is the period of a t-*c 6,b mqiuwwave with a frequency of 1500 Hz?

  What is the wave speed if a wave has a frequency ov)8d teflfi98 f 12 Hz and a wavelength of 3.0 ilv ef8f)d98 tm?

  What is the velocity ofzn86z4c zq*c pn5b/pc0en4qh a wave that has a wavelength of 3.0 m and a frequency of 12 Hz? cbnc5penz zc44*8q q/ nhpz60

  What is the frequency of a 2.5 m wave tr yznozti +3ge3fszjm s7tz)o*n )90+j aveling at 1400 m/s?

  A piano string of lin, :(azr -imv,optaa4uear mass density 0.0050 kg/m is under a tension of 1350 N. What is the wave speed? 4pu(aoiaav,r,t-:mz

  A string of linear density 6.0 g/m is under a tension of 180 N. What is og isj 5 c 79;,71/admypivonsthe velocity of propagipa s oi 5og91/77dn,;cvysmjation of transverse waves along the string?

A wave whose wavelength is 0.500 m is traveling down a 500 m long wiref.eko;h k1;zh 7q; uub whose total ma;;1 qeufo bk.;z7u hhkss is
25.0 kg. The wire is under a tension of 2000 N.
(a) Determine the velocity of the wave on the wire.
(b) Determine the frequency of this wave.

  The velocity of propagation of a transverse wave on a 2.0-m long string fixed at/w d+*txmfgn 5,gg-ot both ends is 200 m/s. Which one of the following is not a m n5tg-xt/*gwgf do+, resonant frequency of this string?

  If a guitar string has a fundamental frequency of 500 Hz, wh5v )6qw90bqkw utigv 6ich one of the following frequencies can set the string intqv66kt9q vgi0bw) 5 uwo resonant vibration?

  A stretched string is observed to have four equal/ qoqh ey7vj-6 segments in a standing wave driven at a frequency of 480 Hz. What driving frequency will set up a stand 6ove7y-hjq q/ing wave with five equal segments?

  A string, fixed at both ends, vibrates at a f:m-c((:pft6j*vz d5 ;x/wrnd nmeivkrequency of 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency is needed if the standing wave pattern is to contain 5/: e;-ndzx( j*cmk(p6tvw divr:mnf 4 loops?

  A string of linear density 1.5 g/m is under a tzfq,w4* o,s9 bnju )miension of 20 N. What should its length be if its fundamental resonance frequency is )qswi*,4,m njfouz9b 220 Hz?

  Find the first three harmonics of a string of linear mass densi; b pdp-jb86uslp7 1ztty 2.00 g/m and length 0.600 m wdpsp8bp1 t7 j6luzb;-hen it is subjected to tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. xra ,.e +6piddju j5.rtzk, o3 When the string vibrates at a frex..ei5jt,pdrz k 6a 3o du+r,jquency of 85 Hz, a standing wave with five loops is formed.
(a) Determine the distance between two adjacent nodes.
(b) Determine the wavelength of the waves that travel on the string.
(c) Determine the velocity of waves.
(d) Determine the fundamental frequency of this string.