The time for one cycle o/zmc-gr 6w:hnb.yn t ;+dnv*w f a periodic process is called the

  For a periodic process, the number of cycles per unit time is ca6)hgy d9sv nan5xr*dz; .3 uavlled the

  For vibrational motion, the maximum displacement frs4*0 grsmnxgj x1rx.6om the equilibrium point is called tmxr16sj * g 0gsx.xn4rhe

  A mass on a spring undergoes SHM. When the mass is at its maximum q4:v 1au8r*0pvb.8 hxhlf jiodisplacement from equilibrium, its inijvx :q8alvuf0.bh*oh8p1 r4 stantaneous velocity

  A mass on a spring undergoes SHM. When the mass passes through 6p t4 3mob,bxwthe equilibrium positionwmb ,3x6pb4to, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mas*iqescx1( kjrj0+ss (s is at maximum displacement from eq*(s0+ ecrj (qsjiks 1xuilibrium, its instantaneous acceleration

  A mass is attached to a vertical spring and bobs up an6 f fmfzpa27nhov03 1id down between points A and B. Where is the 0fz3nf6 2vfmi7 poa1hmass located when its kinetic energy is a minimum?

  A mass is attached to a vertical spring17fkzyzsslw5 ,.zut v.3tb4t and bobs up and down between points A an,.v3ltkz1s4yuz f7st zwt.5bd B. Where is the mass located when its kinetic energy is a maximum?

  A mass is attached to a vertical sprin-ff0pf 9yc*h emb :h,otkay1 +g and bobs up and down between points A and B. Where is the mass located when its potential energy is a minimum?0h hc:1fo -m+yatff*kby e9, p

  A mass is attached to ad dvr:wd/g +p p3fe2,)dixse: vertical spring and bobs up and down between points A and B. Where is the mass located when its potential energy de,)prd+2fvpw:x3dd/i:sge is a maximum?

  Doubling only the amplitude ofu.h wb9-pdwe4rs:h 9 l2 ;gjhh a vibrating mass-and-spring system produces what effect ww9h-el2bpjg: s. ; uh9d h4hron the system's mechanical energy?

  Doubling only the mass of a vibrating mass-and-spring systb 3 n6g yobghd(7c9c8h) da 52p5riglaem produces what effect on the system's mechpal8ib dd379ch) n o2gb5(y6rah5cgganical energy?

  Doubling only the spring constant of xjl6.. ixk4 zno pi)3ia vibrating mass-and-spring system produces what effect on the system's mx noli. jpx.i4 zi)36kechanical energy?

  A mass oscillates on the en 877pggthgt; rd of a spring, both on Earth and on the Moon. Where is the period the grg ght877pgt;r eatest?

  Increasing the spring constant k of a mass-and-spring kda-g12ih m*b;yna(qsystem causes what kind of change in the resonang-kqy; m2dn *1a(i ahbt frequency of the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system ca w oo810k)vzih qdpw5-uses what kind of change in the resonant frequency of the system? (Assume no changivzw5 op8wo0)d hq k-1e in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring systev uqqu6 )-s-g44gu boem causes what kind of change in g-qg)4su 6 qbeu v-u4othe resonant frequency of the system? (Assume no other changes in 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 consg adj. kfm8.6ph 1hjyg hhzu:/ )56shsists of a mass M attached to a weightless string of length L. gjs /ghk)p5.majz:1 shy6d.f hhh 8u6 For this system, when undergoing small oscillations

  When the mass of a simp.az bnux-: df1le pendulum is tripled, the time required for one complete nd.a:bfx-zu1 vibration

  Both pendulum A and B are 3.0 m long. The period o )2k7 jxhk ovoh23hcv-f A is T. Pendulum A is twice axhoc3hhk22)kv jvo 7- s heavy as pendulum B. What is the period of B?

  When the length of a simple pendulum igw( .1s j01hwnth7uo7 6 ryjgvs tripled, the time for one complete vibrati wwshj 0grvu (go1jyn.6717 hton increases by a factor of

  What happens to a simple -,uoa.g:tek;gvzsi:i h d ifrg-69 m)pendulum's frequency if both its length and mass are inctir-;:9. ufagm-i : dvh),g isgk zo6ereased?

  Simple pendulum A swings back o8 zd-n/.yxdaand forth at twice the frequency of simple pendulum B. /nd-. a doy8xzWhich statement is correct?

  If you take a given pendulum to the Moon, where the accel iz gi64mm9ut,01 m7a(hhbyue eration of gravity is less than on Earth, thbtmu a4h gmm9i1 ,uyzi(6e0h7e resonant frequency of the pendulum will

  Curve A in Fig. 11-1 represent, r o6rsswt4-m:d j2eh,hznvg3z:*obs

  Curve B in Fig. 11-1 represm2h5lwf1h xa mu- a0g,ents

  Curve C in Fig. 11-1 represejgea fa4pp;g m, (. 4axex(py4nts

  For a forced vibration, the ampli07pgk5o )t szotude of vibration is found to depend on the

  In a wave, the maximum :yci:uv/mlh77 /msp j 5m id.cdisplacement of points of the wave from equilibrium is called the wciidm5ulm /7m:hv jys p/7 c:.ave's

  The distance betweenvqz 1d-:o7rw) (cfg hu successive crests on a wave is called the wave's

  The number of crests of a wave passing a poyy 1kxhk j*x 5*cnj,)sint per unit time is called the wave's xcsk*k *jynjyh5x,1)

  For a wave, the frequency times towgt+j 13:ff4kofjs/pp7 q,8zhq 0g yhe wavelength is the wave's

  The frequency of a wave increases. What happens to the)ym k: z7e2 gz(dp7w5hklz6be distance between successive crests if the speed remaind kwlb56hgz (e: z7z7k pe2m)ys constant?

  A wave moves on a string with wave2/dca -y;x h5e obwx1 dmi-wi.length l and frequency f. A second wave on the same string has wavelength 2l and travels with the same velocity. What is the frequency of 1 5w oe-b ii;/-.x2cdwdyhxma the second wave?

  Consider a traveling wave on a string of lengtw0y 8nt8r 1tcms *20bpv uspl,h L, mass M, and tension T. A stam8luwct*rb0t pysn12,s 8pv 0 nding wave is set up. Which of the following is true?

  A string of mass m and length L is under tension T. The speed ofa hls;qo31tewmi:k;+a rk 35r;1i bkf a wave in the string +h; ielrs b1 k 15tfami:koaq3 kw3r;;is v. What will be the 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. The speed of a wa 5a..fijzoc(p ve in the string is v. What will be the speed of ac..(zpoj f5ia wave in the string if the length is increased to 2L, with no change in mass?

  A string of mass m and length L is under tension T. tfl d r3(k6u9sThe speed of a wave in the string is v. What will be the speed of a wave in l36ds9(f turk the string if the tension is increased to 2T?

  In seismology, the S wave is a transverse wave. As an S wave u* u tsa/ w5mw* b-sswhtv0/(otravels through the Earth, the relative motion between the S wave an os(5/bua uwvtms/t h0ww-*s*d the particles is

  In seismology, the P wave is a longin*adpjrl dv7 k)b lgbh6+ 8x;9tudinal wave. As a P wave travels through the Earth, the relative motion between the P wave bln*l+phb 6dj dv9;)rga87 kxand the particles is

  The intensity of a wavn2xav tfa2.zj9k, 8d fe is

  A wave pulse traveling to the right along a thin cord reaches a di 2j 3,o/nb-c8t5 qk odsvysj9n4lp:q(j2l ypqscontinuity where the rope becomes thicker and heavier. What is the ot-o 5ks:qdq o9 y p2lv23njjj(n,lsc4pyb q8/rientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes p2mo03rec.7j,z . mmcc d9j hrwass each other on a string, one is traveling toward the right and the other 3j9.cj7h, rw cmo.c0mzred2 m toward the left. At the point that they occupy the same region of space at the same time

  Two wave pulses pass each other on a string. wq/:ptu zn //t The one traveling toward the right has a positive amplitude, while the one travel:uq //pw/z tnting 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 a9l7;8tlb2v ,cxza z9pvum 8jf t both ends, occurs when

  If one doubles the tension in a violinva aepr d0s08nx,0v8g string, the fundamental frequency of that string 0vxrs0dp a gv8,an80ewill increase by a factor of

  What is the spring constant of a sprin0ts, )myj b0apg that stretches 2.00 cm when a mass of 0.600 kg is suspended0a 0 mpjyts),b from it?

  A mass is attached to a spring 2unp,(klxip(w1znlxqeq: 1c5 q * s3aof spring constant 60 N/m along a horizontal, frictionless surface. The spring is initially stretched by a force of 5.0 N on thwxna1x2l5cup i zp(13s,:* qe( nkq qle 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 amplitude?

  A mass is attached to a spring of spring constant 60 N/m along a hor +dc -oq0eaac;izontal, 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.qa+a do0c; -ce50 s to go back to its equilibrium 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 hor+ mh2mvmsjcf7m6:jx )izontal, 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 equilibrium position when it is oscillating. What is the frequency :hcm7mmf xs j+)6 jmv2of oscillation?

  A mass on a spring undergoes SHM. It goes through 10 con/7w *zca(t*k h,sunab ,m0 uvmplete oscillations in 5.0 un,b(swthk*/zn*aac7 0u, vm s. What is the period?

  A mass vibrates back and forth from the free end of an i aun+z+/s o6rfdeal spring of spring consaon/uf6 ++szrtant 20 N/m with an amplitude of 0.30 m. What is the kinetic energy of this vibrating mass when it is 0.30 m from its equilibrium position?

  A 0.50-kg mass is attached to a spring of sprzdhemheajdttvd2r4./ vw0 ig3 1) 3a;ing 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 posit; dijgdmhhr dv.z034ewv/2 a3at1)etion. What is the total energy of the system?

  A mass undergoes SHM with amplitude of 4 cm. tfp1py*g ( ,vjThe energy is 8.0 J at this time. The massp(*p jy,tv1 gf is cut in half, and the system is again set in motion with amplitude 4.0 cm. What is the energy of the system now?

  A 0.50-kg mass is attached to a spring of spring consel-cgzj-m :l( *r xeou( 1*vpttant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/o cl :rv-e 1m*jg(txzl-e p(*us at the equilibrium position. What is the amplitude of vibration?

  A 0.50-kg mass is attached to a spring of spring constahqo(9wx8/ rv ro1dj y.nt 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. At what location are the kinetic energy and the potentiad1q r.8jh/ vwy9(or oxl energy the same?

  A 2.0-kg mass is attached to the end of a ho34vfv*qz1f fr rizontal spring of spring constant 50 N/m and set i rf1vq* 4ffv3znto 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 end of5dc+fh6hb lw 4ypp2*t a horizontal spring of spring constant 50 N/m and set into simple harmonic motio wdlyh6fh5* p 2+bct4pn with an amplitude of 0.10 m. What is the total mechanical energy of this system?

  A mass vibrates back and forth from the fr +j :rww;kjub;ee end of an ideal spring of spring constant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kinetic energy of this vibrawjwk:u ;+bj; rting mass?

  The mass of a mass-and-spring system is displf3we,f*0 zjsiaced 10 cm from its equilibrium position and released. A frequency of 4.0 Hz is observed. What frequency would be observed if the mass had been displaced3 ,f0*sfzjeiw only 5.0 cm and then released?

  A 4.0-kg object is attached to a spring of spring constant3 .r xexy/;s sd*h*hht 10 N/m. The object is displaced bsxh th*/ .e;3 s*hxdryy
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. The object iasikm5(*u j ,mbhaz;1 s displaced *5j ;k(a,ba 1ummzsih 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 constanwh)tmlqsp);men4/ w 9 t 18 N/m, displaced slightly from its equilibrium position, and released. What is the frequency of its vibratilem9)w/h) pwsm;n t 4qon?

  A mass is attached to a spring. It oscillates at a frequency of 1.27 Hz when d)dfqt(jfz1t 7dd ck4+isplaced a distance of 2.0 cm from equilibrium and released. What is the maxfdcf)4ztj (7 1qkd+dt imum velocity attained by the mass?

  Two masses, A and B, are attached to different springs. Mass A vibrates :tskyaq501fa f7uo 2vwith 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 Hz.01:tofky75us qf2aa v How does the maximum speed of A compare to the maximum speed of B?

  A 0.30-kg mass is sus +eg: lyrss2t--3za zwpended on a spring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and released from rest. Calculate the period of osczr2 +-sew :a3yltz-gsillation.

  A 0.30-kg mass is suspended on a spring. In equih egy7rxp;ca/; n73pz librium the mass stretches the spring 2.0 cm downward. The mass is then pulled an a;ep/ 7phr ngy;acz37xdditional distance of 1.0 cm down and released from rest. Calculate the total energy of the system.

  A 0.30-kg mass is suspended on a spring. In equilibrium tht8n c;*2bxir3 xl- +j/uhv (jb) foheme mass stretches the spring 2.0 cm downward. The mass is then pulled an moe-+b;hntjlc283*() jvbxifr x u h/additional distance of 1.0 cm down and released from rest. Write down its equation of motion.

  An object in simple harmonic motion obeys the following positionsts6z1sxu tm 7l6i+h0b v7yi . versus time equatib7sth71s 6+vsy.0 txzu mili6on:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following position versus timx jz h5b fen7u7j/r0:ce equaez c5 jnrx 70j7fh:/ubtion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following position versus tim)/lhon u 0v0hce equatiouon c/lh0v) h0n:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end 9mkdxpy(a /so w e+*t8) phbb6o:gvt,of a spring executes simple harmonic motion according to the equsy*t w6b(,e p aho )bd/gvpk:o+9x m8tation $y = 0.50 \; \sin (18\pi \times t)$ 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 covb-mpq ono v4:5 xp4d6nstant of 20.0 N/m oscillates on a horizontal, friction6qopo:p 4vx d4vbn5m -less track. At t= 0, the mass is released from 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 complete swings in 8.0 s. (a) What are its frequency andevu-yi ; 5o 53jw5mx0rdr 0qmm period on Eajx5vri3dw ; u5oq- 5mr0ymme0rth?

  A 3.00-kg pendulum is 28.84 m long. W qy b;j)h5ie632b bkbbhat is its period on Earth?

  A pendulum has a period of 2.0 s on Earthxt xnqk7l0f3u 4b(qm). What is its length?

  The pendulum of a grandfather clock is 1.0 mgb0.9 rht7+bb ylgj 8t long. What is its period on the Earth0g bth+j98 l yg7.bbtr?

  The pendulum of a grandfather clock is 1.0 m long. What is its pe+*lq0r7o3v ucyg 868gar ofgcriod on the Moon where the acceleration due to gravity is+c*go r6r7vgl38c0 qug ayof 8 only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25o 6h;zvpq61ky-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 w1;6o p zhq6vykould have resulted if a 0.50-kg mass (same diameter sphere) had been attached to the string instead?

A simple pendulum consisting of a 20-g mass has initial angul; moin9f7 ei9car displacement of 8.0e. It oscilc e997ion;mf ilates 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. The frequency o5fl) k)dnutst + no8(0zp.qjnf the wave is 120 Hz. Wqknf+)up od(j 50n 8ttslnz.)hat is the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given time. The..yg zzxa b:q. frequency of the wave is 120 Hz. What isq:xz yg.a b..z the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a g0rumc, c45g ;yf e3ddqiven time. The frequency of the wave i c 4e0 5rmf,qy;gdduc3s 120 Hz. What is the wave speed?

  What is the frequency of a w:hsk of fyj;1a-z57ec5jn6 xu ave which has a period of 6.00 ms?

  What is the period of a wave witzz r8i*avrlh) nx ,jq n q9-v+2d7h8q3a rlp-zh a frequency of 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz and a wavok*oz v .0f-:gh o1fwbelength of 3.0 gb0-oo*wfhzo.v:fk1 m?

  What is the velocity of ai6mk+x h nq4*km 2e7lfb kgh:1 wave that has a wavelength of 3.0 m and a frequency of 12 Hz?4xkh1f bmk*l7g+ k2 q6ienh:m

  What is the frequency of a 2.5 m (8 r8 f;k y+duokkzjo(wave traveling at 1400 m/s?

  A piano string of linear massbwkmh9ti6h8nj 5l (l7 density 0.0050 kg/m is under a tension of 1350 N. What is the wavetwbmj6h9( nikll7h8 5 speed?

  A string of linear density 6.0 g/m isp10 7u7md7i vbe m -jt8:khrkd under a tension of 180 N. What is the velocity of propagation of 7krd d8kth1mmv pie:u0bj-7 7 transverse waves along the string?

A wave whose wavelength is 0.500 m is traveling dowom )zokq9s3 9in a 500 m long wire whose total mas zoq 3okm)9i9ss 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 wa+8kznz0 n0p euon-; dbve on a 2.0-m long string fixed at both ends is 200 m/s. Which one of the following ; +boznzn-k0dn80upe is not a resonant frequency of this string?

  If a guitar string hasmy( awo/ q-dix1 *x:tm a fundamental frequency of 500 Hz, which one of the following frequencies can set the string iqw x( mdm1iyx:ot/a- *nto resonant vibration?

  A stretched string is observed to have four equal segm*ky md3xyfo :t 19c37 k jzdazbh;4;lgents in a standing wave driven at a frequency of 480 Hz. What driving frequency will set up a standik lx4;1d7 zotdf3j ;bga:z h*y9cymk3 ng wave with five equal segments?

  A string, fixed at both ends, vi/qn o,0 s,,ifkbfij:aq6/fwibrates at a frequency of 12 Hz with a standing transverse wave pattern con6,:kii q w,oinfjq/fsbf0a,/taining 3 loops. What frequency is needed if the standing wave pattern is to contain 4 loops?

  A string of linear density 2sr3usc j8kk19cq + alzybm:m9t:)lb 1.5 g/m is under a tension of 20 N. What should its lengthlbzqk+s lmy9:9tjs a3u bmcr2k8 c:) 1 be if its fundamental resonance frequency is 220 Hz?

  Find the first three harmonics of a string;r65n(ph m; zdrfjyw1 of linear mass density 2.00 g/m and length 0.600 m when it is subjected to tension of 50pm156;yrwhjf(zdr; n.0 N.

A string of length 2.5 m is fixed at both ends. Wheng. gmv+tewf 5jj;vn6jr 0-oa 9 the string vibrates at a frequeatovgjj;j0nw r+5.v69 -g fm ency 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.