The time for one cycle of a periodiak+. ki5 aj.rhu1i/ay4d/lowz( atj;c process is called the

  For a periodic process, the number of cycles per unu k:ommp 7f(rb61re b;it time is called the

  For vibrational motion, the maximum displacement from the equilibri(r wgq9;pf idqy1e9- uum point is calleefquwg r1y(ip; 99 -dqd the

  A mass on a spring undergoes SHM. When the ml1nxn+l(z0d : /gsiuf ass is at its maximum displacement from equilibrium, its instantaneous ve0(n/+ufgl: 1 dxsnz lilocity

  A mass on a spring undergoes SHM. When the om37zdth 9whb 721dazmass passes through the equilibrium positiowhdd 1zm2737ob9zh t an, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass is a3slyb66.x/kgt kod 5 yt maximum displacement from equilibrium, its instantaneoly/.xtbdg 3o 6s 5yk6kus acceleration

  A mass is attached to a f/ khmss)4. h7/thr- pgs2pez vertical spring and bobs up and down between points A and B. Where is the mass located when its kinetic en ge)t.fh7p/2srs/k m-s4hp hzergy is a minimum?

  A mass is attached to a */ 3mivzu1wa kvertical spring and bobs up and down between points A and B. Where is the mass located when its kinetic en3u*ki wvamz/1ergy is a maximum?

  A mass is attached to a vertical sprbh7hmsq (gr1t x w 4f7b0l,fe7 iqf+z9ing and bobs up and down between points A and B7zgw( f e7t4rq,hbbf0 x fhim1+7l9s q. Where is the mass located when its potential energy is a minimum?

  A mass is attached to a vertical spring and bobs up and do-s*s ; .,c*3 mleu l*hcei4oe+z68c kkzfh nszwn between points A and B. Where is the mass located when its potential energyk z,mhfe6;uh84ek 3l c oesnz- *cs*ics* z.l+ is a maximum?

  Doubling only the amplitude of a vibrating mass8u2e eg dj/4vrh: t nhcu6x0)k-and-spring system produces what effect on the system's mechanich2 h/t4)v:nxukec 60rg8dj e ual energy?

  Doubling only the mass of a vibrating mass-and-spring syst7xcm (*qqol38no j-ev em produces what effect on the system's ce8xjo vq 3n7l *omq(-mechanical energy?

  Doubling only the spring constant of a vibrating mass-and-spring system produmue8ljf4bg 0 lf8 l5)aces what effect on the system's mechanical energy4lm l ju5b ef)8la0f8g?

  A mass oscillates on the end of a spring, both on Earth and on the Moon. 4cg m5 v.of8kt)ho;fbWhere is thb5vtg hfoo f ;c4.km8)e period the greatest?

  Increasing the spring constant k oxjvgd(zs5f,eo;;o q26 zo f6jf a mass-and-spring system causes what kind of changeffo x gd,ozjjov ;6z6s(; q5e2 in the resonant frequency of the system? (Assume no change in the system's mass m.)

  Increasing the mass l xrwny 42vi.r0+vzg+cekj ;)M of a mass-and-spring system causes what kind of change in the resonant freque g+ jrl.kw)vci;+0z rv 2x4neyncy of the system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system causes what kinv/n96m) ckics6t o;7o4h. s udi 0skjsd of change in the resonant frequency of th7sidj4 ihuk6s/0t v)mc6sco; 9sn k. oe 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 consists of a mass M attached to f g6c2l3ugz )hj.c hj)a weightless string of length L. 6 3).hlju g2 cgjchfz)For this system, when undergoing small oscillations

  When the mass of a simple pendulum is tripled, the time required for one coms-a n u; )muotuflb;2:plete v:u;stu lnm)o2u -af b;ibration

  Both pendulum A and B aranx.oo xbsiny4-fmg)d e mh( 6mm:/)) e 3.0 m long. The period of A is T. Pendulum A is twice as heavy as pendulum B. What is xm46h- )manxy.e/ios(fd g:m)m)bnothe period of B?

  When the length of a simple p/eullq-0fxh:w kns(; *o bh6-iaeb m7endulum is tripled, the time for one complete vibration increas:oxb-*w-k s e i(qhna6ul/h ;0bf7mlees by a factor of

  What happens to a simple pendulum's frequzm;g4, d4e sefit 5w:mi7n5i 4ec p9rgency if both its length and mass are ine d9fm4smegr54 5i n4cwpi 7gt,:e z;icreased?

  Simple pendulum A swings back and forth at twice the frequency xeuz0 8d-s e /*k;gnxpp3oc8zwv5oh: of simple pendulum B. Which statement is o dwx-5/8zc 8o*u30vespgz:pke; hnx correct?

  If you take a given pendulum to the Moon, where the a2f7 -lchssut9(+jz j rvg.t y4cceleration of gravity is less than on Earth,+gtc7s -jufslvh2 49z. (ytjr the resonant frequency of the pendulum will

  Curve A in Fig. 11-1 4psx*p it+8 yzz46ugl ph6ri:3dr 6wirepresents

  Curve B in Fig. 11-1 relw9 b: *+wqmody 8pdt w)eh-x,presents

  Curve C in Fig. 11-1 r3eq z 8jd 3ah)ni37;k cdvhr6qepresents

  For a forced vibration, the amplitude of vibrayb b(m- rw yht,;xx0,xtion is found to depend on the

  In a wave, the maximum displuep26j 7dfcp89 ;z hs pqt1le2acement of points of the wave from equilibrium is called te2u 1 h c8q6d7jez stpp2f;9plhe wave's

  The distance between succktjc1o ( jnbmje e:/-s7 hu0r8essive crests on a wave is called the wave's

  The number of crests of a wave passing a point per unit time is called the-+u4wa z,2,(y+erecy ngesbw wave's(ywga+ue y+r ,n4- ,wzeeb2c s

  For a wave, the frequency wtcxq ,*3ojr8)tz6gutimes the wavelength is the wave's

  The frequency of a wave incru5y c+3t(6wv q xboo pda43i/zeases. What happens to the distance between successive crests if the speed remains con(vt5q op6i3 d /ua4x+cw3o zybstant?

  A wave moves on a string baj2 a)re/i/u with wavelength l and frequency f. A second wave on the same string has wavelength 2lbj2 r//e a)aui and travels with the same velocity. What is the frequency of the second wave?

  Consider a traveling wave on a string ofl9:koqlgi o 1gfs72d3 length L, mass M, and tension T. A standing wave i ls3 i9o k71:qlgg2ofds set up. Which of the following is true?

  A string of mass m and length L is undefal:8v1n02kq vw8mp7gl 9 cjar 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 mass of the string is increased to 2m, with no change in lengta21v9gqmf klvcnj7808 apl:w h?

  A string of mass m and length L is under tension T. The speed of a wave h1)x drcz,3t xin the string is v. What will be the spe),hrxzdx tc 31ed of a 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. n(yqdd*e ily(/-8 yki2t ymu+mp5ui/The speed of a wave in the string is v. What will be the speed of a wave inyei/ /5+* iddlu2(n my8y-q( kpyiumt the string if the tension is increased to 2T?

  In seismology, the S wave is a transverse wave. As an S4mgl.dnh5,h 8r94yibeb zr 4b wave travels through the Earth, the relative motion between the S wave and the particles d5e4z rhrb g, 9y 4hlin.8b4bmis

  In seismology, the P wave is a longitudinal wave. As a P wave travelswudr q6in1ed- tku j,r5t.8m8 through the Earth, the relative motion uw- .rtkt8j i8mdnd,5 u1r6q ebetween the P wave and the particles is

  The intensity of a wako pzj.yvrm:/ ;u-0 urve is

  A wave pulse traveling to the right along a t dlv+(5e3 bw)v(-w0me vhaqkqk 3la 5sk8wy k8hin cord reaches a discontinuity where the rope becbw3 kvwd(v 5 aeqkk+ elm-q8ay3 ) 0k5lv(8wshomes thicker and heavier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each 2qdkbcw(g( kq9gm 8 (xother on a string, one is traveling toward the right and the other toward the left. At the point that they occupy the same region of spaceckw 92bx(qgm8(q( dkg at the same time

  Two wave pulses pass each other on a string. The one traveling if)lvyf-q;345icvbk ; . lufj toward the right fllfif 3i -k4j5; uq)v;c bvy.has a 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) iyx4(o5c5pc;o7 t,v ;zyuhc6w zoed fixed at both ends, occurs when

  If one doubles the tension in a violin string, the fundamental frequenc3ywjwn0u51a4w ezhp 19e8 e ngy of that string wiw1g0uz wenp594y13w h8j neaell increase by a factor of

  What is the spring constant of a spring that stretches 2.00 bkw-8ybo-) p6i hb *fqcm when a mass of 0.600 kg is suspended fr 8f-iw*6-oq khpybbb) om it?

  A mass is attached to a spring of:db-.khz9w4fl 8l67ime qf z z spring constant 60 N/m along a horizontal, frictionless surface. The spring is initially stretched by f4h izz8w9zedmkq-fbl6:.l 7a 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 amplitude?

  A mass is attached to a spring of spring constant 60 N/m along a horizontal,ry5;er3(we xh5/jv cl frictionless surface. The spring is initially stj(hrc3xrve5/ 5y le;w retched 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 period of oscillation?

  A mass is attached to a spring of spring constant 60 N/m alongq)-iq:ptmzx p * xzi35 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 baxpx-q3ip ) :izt5mqz*ck 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 coi.-q9 9obiwd rmplete oscillations in 5.0 s. What i9bwo -ridi 9q.s the period?

  A mass vibrates back and forth from the free end of anzlv0t1,a i/07yjou nj ideal spring of spring constant 20 N/m with an amplitude of 0.30 m. What is the kinetic energy of th/j0a o ltnivyz0j,1u 7is vibrating mass when it is 0.30 m from its equilibrium position?

  A 0.50-kg mass is attachesdjhcz4. p )bk5.12 yo; xwdisd to a spring of spring constant 20 N/m along a horizontal, frictionless surface. k5z p1.ws2ydho;)i. b4xc jds The object oscillates in simple harmonic motion and has a speed of 1.5 m/s at the equilibrium position. What is the total energy of the system?

  A mass undergoes SHM with ample8n :j3z;5qyusuoc l:itude of 4 cm. The energy is 8.0 J at this time. The mass is cut in half, and the systemeo5jsunc3 yq;:8z:u l 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/94p4 tyqakip 4 o;myf to a spring of spring constant 20 N/m along a horizontal, frictionle/;yatq4kpf4i y o 4mp9ss surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s at the equilibrium position. What is the amplitude of vibration?

  A 0.50-kg mass is attached to a spring of springq+j(mu:k g m3 a:z9ljwtao+kls.0xh9 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. At what location are the kinetic energy and the potentia (9qgaljk +ka9h:m uzx o:w3+l.0mstjl energy the same?

  A 2.0-kg mass is attached to the end of s+m: y o f2wak6uxdmg-zi. nv-7btu( -a horizontal spring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is tummg-bouwivz td- +(k. :a f 62y-nsx7he total mechanical energy of this system?

  A 2.0-kg mass is attached to the end of a horizontal spring of spring c*(:ul 2mzks nxonstant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. Whazx2kus ml( *n:t is the total mechanical energy of this system?

  A mass vibrates back and forth from the free end of an ideao 1:u1k3 5 fsqe:m *mtbod-yuhl spring of spring constant 20.0 N/m o 1s- mb31dmhu:q5*yeofu :ktwith an amplitude of 0.250 m. What is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring system is a s:q9cis 4s*udisplaced 10 cm from its equilibrium position and rel :s4uis9*scqaeased. A frequency of 4.0 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 jm;8vo3qtw+wtcgd p;s 4vau/ e+vfu 787sx(fof spring constant 10 N/m. The object is displaced bm f847qvtgaeuc8w pt7(s x ;;js/ vdv+wo3fu +y
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/b d0dtev /7u5ez a7tlk fzs/rmk::u(9m. The object is k 5u7lz:9 s t z(ua:vfrtdd/mek0 /7ebdisplaced 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 suosk1 jivj +):pring of spring constant 18 N/m, displaced slightly from its eji k +:jvus)1oquilibrium position, and released. What is the frequency of its vibration?

  A mass is attached to a 7px a-y:fxui4qam 6,,)rj flaspring. It oscillates at a frequency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and rey pla 6-uxiaj47 q,fxf)a,:rmleased. What is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to different springs. Mass A vibratw dpvgwe3586, wzsrr 4es 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 Hz. How does the maximum sps rgr5 83p6,wwzv e4wdeed of A compare to the maximum speed of B?

  A 0.30-kg mass is suspended ongc )0prf2o re. a spring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 2or)pc f.re0 g1.0 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 (0/ xsj9jn.yrd533fy ,g e8evo9y 7jdbqi mszstretches the spring 2.0 cm downward. The mass is then pulled an37iyjo9/ybxfzg3qj.e(8,jmsd er 0v 95ys d n additional 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 the mass stretmq302uc +9 3t tt j60hzkuj+jgpen. aqches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and released from rest. Write down its equation of p uq +60te g3tj n.9jqa0m+k32zhctuj motion.

  An object in simple harmonic motion obeys the following position vk,tjaw)35 v bokn* m5lersus time equaa*km 5b5o, wkj)l3v nttion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple l1wr7r zl) c0bjpe1mi nf2 *m9harmonic motion obeys the following position versus time equatm*z )f i0 9rwjll71pr1ecnb 2mion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys fpo i+de9-a7t the following position versus time equatia-itd eo f+7p9on:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple harmonic motion acziohuub6x zf+0c ) 1c(cordingzh )c 1 6(f+zbxcu0iou to the equation $y = 0.50 \; \sin (18\pi \times t)$ 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 20.0 Nt .0i3k, qxd+c t0qsij:ylo,r/m oscillates on a horizontal, frictionless track. At t= 0, the ma0i ik0q:qjct+,olx3 d.tyrs,ss 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 freq 4 fxwyonv.)j;:3wp45q h jggquency and pejhw35xn;v qgjy f4g oq:wp.) 4riod on Earth?

  A 3.00-kg pendulum is 28.84 m long. What is its period on Earth?cp6 bn2hiqte00qb n+1r:4 kgda.jx r6

  A pendulum has a period of 2.0 s on Earth. What is its lei0ocl+; ct1h qngth?

  The pendulum of a grandfather clock is 1.0 m long. Wh-t11;vr wczmr at is its period on the Earwcz;tm-11 rvrth?

  The pendulum of a grandfather clock is 1.0 m long. What is its period on thkv0z4:fa 8qt uwl 76wae Moon where the accele0a:f46zw7t w8uk l aqvration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attu m6tfz ,+aa8iached to a massless string. When the mass is displaced slightly from its equ+iutzmfa,8a6 ilibrium 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-kg mass (same diameter sphere) had been attached to the string instead?

A simple pendulum consisting of a 20-g mass has init o:2fbfuup4y,fz pny)0u:: ysial angular displacement of 8.0efb: 20 yf,npfspu)4 uyy::uzo. It oscillates 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. lb.3e,t i:yr( vlgf:,(u lcy yThe frequency of the wave is 12:t:ecb yv(lrf(,y yul, li g3.0 Hz. What is the amplitude?

  Figure 11-2 is a "snapshodd u3 z(qi905j1j-q osle x 3v)/qq8aa+ tsruft" of a wave at a given time. The frequency of the wave is 120 Hz. What is )/sqauoji vulr 3( de 8- zq+tqqsf x9j10da35the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency u6e47znh/jy u k3f sf-of the wave isj-ukf 3f4n6esz h y/7u 120 Hz. What is the wave speed?

  What is the frequency of a wave which hanq/bl(y nsh7k/.eu; ws a period of 6.00 ms?

  What is the period of a wave with a frequency oeo,6f h1 zg7nbf 1500 Hz?

  What is the wave spee.zg2ct,wdxgy frd5 0.d if a wave has a frequency of 12 Hz and a wavelength of 3.0 m?.2 t.z,c5w0 dxgrgyd f

  What is the velocity of a wave that has a g;d9p lvt,z 2awavelength of 3.0 m and a frequency of9v t;2,dg alzp 12 Hz?

  What is the frequency of a 2.5 m wave traveling at 1400 do2dega7z+3c m/s?

  A piano string of linearnfw27hzjb5 mzu1n 7.k mass density 0.0050 kg/m is under a tension of 1350 N. What is the wave2whn1m kz5fj 7.b7zun speed?

  A string of linear density 6.0 g/m is under a tensic :e3z-chw1z p(igk5y afo c.+on of 180 N. What is the velocity of propagation of transverse e5 hfcz1zi:3yc kc pw+g- (ao.waves along the string?

A wave whose wavelength is 0.500 m is traveling down a 500 m long wir y t(l1+4y)jpd/wbhghli- v1ze whose toty-dpv(i1zbjhw l +l h1)/gty 4al mass 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-vhl3;ai3qjq0b; dk rezq 20isew3a14m long string fixed at both ends is 200 m/s. Which one of the following is not a resonant frequen3wa1qqekq2iivzl j r03ae;4s bhd 30; cy of this string?

  If a guitar string has a fundamental frequency of 500 Hz, which one oc45v- *dw 9de.ihv sygf the following frequencies can set the string i vi.gd9yd4- *ews5vchnto resonant vibration?

  A stretched string is observed to have four equal segments7xzlf c z3+ ozdx;;)g4fykq 8e in a standing wave driven at a frequency of 480 Hz. What drivqgx zy ff;84e7+3zk) x cd;zoling frequency will set up a standing wave with five equal segments?

  A string, fixed at both ends, vibrates at a frequency of 12k263aah6bj c:*qnewuf 5x hp 4 Hz with a standing transvefh4aekuc3 j* b625aqp6 xw :hnrse wave pattern containing 3 loops. What frequency is needed if the standing wave pattern is to contain 4 loops?

  A string of linear density 1.5 bjjus s:17 kx3g/m is under a tension of 20 N. What should its len7b1 kxsjsuj :3gth be if its fundamental resonance frequency is 220 Hz?

  Find the first three harmonics of a string; ek3k1 zy,1pcj lao)k of linear mass density 2.00 g/m and length 0.600 m when it is subjeyeo; 1, 1)3alkjp ckkzcted to tension of 50.0 N.

A string of length 2.5 m is fet/ f s/fzor5y ro7wai88/0ofixed at both ends. When the string vibrates at a frequency of 85 Hz, a standing wave with o8rtaf/ i fy/0rw87s5z /eo offive 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.