The time for one cycle of a perpye4vi4 y :4yts0 9kobx+o;axiodic process is called the

  For a periodic process, the number of cycles pe5ovtk8aof 39wu .uhe2r unit time is called the

  For vibrational motion, the maxidq*6bkzi ,+dab2 j6dpu5c i:p mum displacement from the equilibrium point is ca b qupdj,6b+6 idz5pd* ia:kc2lled the

  A mass on a spring undergoz z7 m+z7adb2m6m(z75bfkm)q5t zwcw es SHM. When the mass is at its maximum displacement from equilibrium, its z+ zmw6 5m77zd(k2wqbbtm5z m)caf7 zinstantaneous velocity

  A mass on a spring undergoes SHM. When the mass paswf5pi9:qs l9gzfqoo)n; c((p 1d(ywb ses through the equilibrium position, its instantaneous s ;qc9o nfg9wzp ((yib):p1(oqf5wl d velocity

  A mass on a spring undergoes SHM. W0 wowcd4 su .shiir85nl9.rh i48pwp5hen the mass is at maximum displacement from equilibrium, its instantaneous accelwwus4r4w n95r. 0p5 olhphi8d i.i8cs eration

  A mass is attached to a vertical slwa.3zc ,nj (yk9r:/z+exmofpring and bobs up and down between points A and B. Where is the mass located when its kinetic e3wmj(a o xk zy.rc/ le:9z,f+nnergy is a minimum?

  A mass is attached to m0zumrxo6bqe94:; d fik /(gq a vertical spring and bobs up and down between points A and B. Wqir d6qge/mk0; z9ubo4 (: mxfhere is the mass located when its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs duvnv*-iyf:sjnu-ocgy 6 ms64 r935 f up and down between points A and B. Where is the mass located j g*ny:vyun-3mv64fd -uos 5 rfic6s9 when its potential energy is a minimum?

  A mass is attached to a vertical spring ankqxwff6 bgikbgi c/;26xm*18 5zd0i q d bobs up and down between points A and xgq18d z0qi5 k6*wbgcfk fi2/6b im;xB. Where is the mass located when its potential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-spring system producesp d4pu6 ous +twaj+-(f what effect on the t6ja+u4wodup+f p - (ssystem's mechanical energy?

  Doubling only the maemv7m gu/ 0gk;ss of a vibrating mass-and-spring system produces what effect on the system's mecug m 7em;0/kgvhanical energy?

  Doubling only the spring constant of a vibrating mass-and-*36m9a;g czvfom regm0tax, .spring system produces what effect on the syste.9 rf0 oamx*c etmgg azvm3;,6m's mechanical energy?

  A mass oscillates on the end of a spj gdw;e.fg:/tofqi -x 6c.-cgring, both on Earth and on the Moon. Where is the periodfw.g dcgije q./-c f go-6:tx; the greatest?

  Increasing the spring constant k of a mass-and-sp oy(cyclzn/*9b zhk q5 i29.rrring system causes what kind of change in the resonant frequency*h9k.yzr c 9l5/ ynoq2zib c(r of the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system caus 0;iaqw ua vm 8fy6b1ql1qki876vff7g -p :ggses what kind of change in the resonant frequency of the system? (Assume no change in thas 8l;7gfvikq0u f i:qav1p8ymq71 b-6fw6 gge system's spring constant k.)

  Increasing the amplitude of a mass-andsmtn3g4gox/2/ml j * p-spring system causes what kind of change in the resonant frequency of the system? (pxl*423mg sgm/ oj/n tAssume 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 a wi(,lsgo.i ( 6vyv o99dbqet .meightless string of length L. For this sysy.9 sebvv9mtdqi (.l6i og(o,tem, when undergoing small oscillations

  When the mass of a simple pendulum is tripled, the time redhq)p(5zqzb1 . tsou 02*gmqnrfb j 9)quired for one complete vibrat5pj dz)q1fqo .q9h0buzgbn)r( mt *s2ion

  Both pendulum A and B are 3.0 m long. The period ofjsnq0d4 4faimvj / (x3 A is T. Pendulum A is twice asj3q40vmx/d(a4i jn sf heavy as pendulum B. What is the period of B?

  When the length of a simpd9z0ig41 us mcle pendulum is tripled, the time for one complete vibration increase0 igs4zu9d1mc s by a factor of

  What happens to a simple h;bbw67izs i: pendulum's frequency if both its length and mass are incr6wbs;7:ibzh i eased?

  Simple pendulum A swings back and forth at twice the frequency of simpl7bv93.i 5s,(ky2gb att jju lle pendulum B. Which statement lb2 t,(7by.sv ui jjg ta5lk39is correct?

  If you take a given pendulum to the Mooku9 la; /fnla7 uhv-p:w7nz8jn, where the acceleration of gravity is less than on Earth, the res 9l;pn7aj8wn k-a / huvlfzu7:onant frequency of the pendulum will

  Curve A in Fig. 11-1 rrbkz n*.1sk,nepresents

  Curve B in Fig. 11-1 representsk7u u;j76ssj xy6eo )d

  Curve C in Fig. 11-1 repreiy4 .l ,ldc iw9zxci3.sents

  For a forced vibration, the amplitude of vibration is found to depend on - p2-j4(b)gcphy wt imui;.xkthe

  In a wave, the maximuf,* r bflrdgd1:*3gd7eggy.mm displacement of points of the wave from equilibrium is calle3:l* 7 bfg1 fmergg,y.ddr*gdd the wave's

  The distance between successive crests on a wavlus9xk-c a ftkm*3u 0(e is called the wave's

  The number of crests of a wave passing a point per unit time is cswzv5c 0g9us0e/h k)p7qm fn (alled the wave'vpz/0g)(c9qhf0kmsn u7s5e ws

  For a wave, the frequency times the waveleng1 vb mrm3g,pmnn8 ,o.eth is the wave's

  The frequency of a wave increases. What happens to rt hee ju5;xo)lgdgu*-ia:b .5dtn02the distance between successive crests if ej;dhaget u 5. )lgx52 :rin0obd-u*tthe speed remains constant?

  A wave moves on a string with wavelengthn. obwha- p) sx3vq;3o l and frequency f. A second wave on the same string has wavelength 2l and travels with the same velocity. What swxa3q;-p )n3ob .o vhis the frequency of the second wave?

  Consider a traveling wave on a string of length Let* 3z2kt (ze3qd a8-kdwt7ld, mass M, and tension T. A standing wave is set up. 3(3 8det*2qd7 ewdtzzaklk t-Which of the following is true?

  A string of mass m and length L qi5xzqt7qz.s(hic- dt u bq35( +vo ,gis 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 mass of the string is increas 3ibt 7s hz5,.xodcqt(q (ziq5v qg+u-ed to 2m, with no change in length?

  A string of mass m and length L is under tension T. The spee0,y:pw mj8 yk7lj3 ivmd of a wave in the string is v. What will be the speed of a wave in the string if the length is increased to 2L, with no cmk,yv:y83mpl jj7iw0 hange in mass?

  A string of mass m and length L is under tension T. The speed of a yhjp1op/-8 zd wave in the string is v. What will be the speed of a wav oh-y1dzp/j8 pe in the string if the tension is increased to 2T?

  In seismology, the S wave is a transverse wave. As an S wave trave; uv8z7t x,:pcr.rp.1 updt o*vz .erwls through th8p.p1.r 7*zx,p zrdo;u:. etv uctvwre Earth, the relative motion between the S wave and the particles is

  In seismology, the P wave is a longitudinal wave. As a P wa s(fxx )5ygy*+daapha6q,g4 nve travels through the,)gyhxxas f 5dp6aq y*(n4g a+ Earth, the relative motion between the P wave and the particles is

  The intensity of a wa(btk*3 vx; w;jyeui,x ve is

  A wave pulse traveling to the right along a thin cord reaches aguhez-uzrlh3 o0k*4: h1e,lsfq, df ( discontinuity where the rope bec1o-gu*dr( zh eu430,eh s zqfll,hfk :omes thicker and heavier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive ak 84(9imi 7j+w+vvsbpl yap)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 the same region of space at the sam)( ajimv4p ibway9+8sl v +k7pe time

  Two wave pulses pass each other o3+oz5:pm rrtyn a string. The one traveling toward the right has a positive amplitude, while the one traveling toward the left has an equal amplitude in the ozrmr 5t3y+p: negative direction. At the point that they occupy the same region of space at the same time

  Resonance in a system, such alz 5g r gg:7 wlcz-h54t;pi6 q4:ayqjgs a string fixed at both ends, occurs when

  If one doubles the tension in a violin string, the fundamental fressue zqv9whhfot 4uj; 384x ;(quency of that4x 39vf ujh qs;oeh s(u;wz84t string will increase by a factor of

  What is the spring constant of a spring ha5kpb-tf w+y xoj6 pis nx/ +68k5y-ythat stretches 2.00 cm when a mass of 0.600 kg is su6o/ h xipb-ka+ 6+xy585tnk-p jywsf yspended from it?

  A mass is attached to a spring of spring constant 60 N/m azxv p 8tg51bj:nl5 2njlong 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 equilibrium position whj28 tn5pb 1v 5zlg:jnxen it is oscillating. What is the amplitude?

  A mass is attached to a sprind.a9cl hi;9bjg of spring constant 60 N/m along a horizontal, frictionless surface. The spring is initially stretched by a force of 5.0 N on j.; cda99hlibthe 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 sprinp s+i,*i1hud pg of spring constant 60 N/m along a horizontal, frictionless surface. The spring is initially stretched by a force of 5.0 N on the mass p1u+iip, h sd*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 coms5;xfnego t* wawo u1 ;+gia97plete oscillations in 5. i *wegg; xuf9ntoaao+w5s1;70 s. What is the period?

  A mass vibrates back andid x7no,m-*f+ s rkvhwo,lw71 forth from 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 vibrating mass when it is 0.n+w ,fr hli do vxmo1w-s*,77k30 m from its equilibrium position?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m along a horizo::v pmnloc+g)y my:a dq5)wj,ntal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s at the equilibrium position jaycn:p+ 5q::vgmo,m)dl y)w. What is the total energy of the system?

  A mass undergoes SHM w d;/ga a4gdboita7x,uem34or ,4m x(z x1tk(bith amplitude of 4 cm. The energy is 8.0 J at this time. The mass is cutox;bk4( xtga t(az/oiaxe ,m 47 ,1rbgmdd34u 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 sye j q/bn xdor8.45g)mpring of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of /)4g q.oynxdjm 85ebr 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 spring co -nu,y ox 9: db.urf4xbbmc0k/nstant 20 N/m along a horizontal, frictionless surface. The object oscilla/yu4 bbx,:0krd nu9.bc f mxo-tes 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 potential energy the same?

  A 2.0-kg mass is attached to the end of a horizontal itd*d8 a)xh9w spring of spring constant 50 Ndw)a8i h*tx 9d/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 attaih-0mffo5.f uxkb9o9 9 (hca ached to the end of a horizontal spring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the total mechanical energy of this syst fho0.f9mc9 ahb5a9x kfi-o(u em?

  A mass vibrates back l ss0ah8s gua 4rt;l7+and forth from the free end of an ideal spring of spring cou;84 tg asr70s lash+lnstant 20.0 N/m with 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 displaced 10 cm from it5ik:;vioyv r-09g rz ts equilibrium position and released. A frequency of 4.0 Hz is observed. What frequency v90izg ; -r5r:vo iyktwould 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 ofo ;;hdd(pn 9lu spring constant 10 N/m. The object is d9;npul( ho; ddisplaced 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 yv8lw08 7vff*h2,mkq s7vwqy N/m. The object is displaced q0fklw8yy 2 vv 8wsf m*7,7hqvby
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-ffitov,vg / 7 spring of spring constant 18 N/m, displaced slightly from its equilibrium position, and released. What is the frequenc7-ft i,/v ofgvy of its vibration?

  A mass is attached to a spring. It osfr6c2gkh0uc 1zlo6 .rcillates at a frequency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What is the maximum velz c6c0 o2hgl.urf1rk6 ocity attained by the mass?

  Two masses, A and B, are attached to different springs. Mas*x5nxauutf:yno7/t :5rxp4 ws A 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 fayu5 nu*x:or5t74pntx:fx /wrequency of 16 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. Inxsc*e3kc-w ackm/6) q equilibrium the mass stretches the spring 2.0 cm downward. Thqacxkke-6 /mw* c s3)ce mass is then 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 stretchctig8( (nlrn,5qe zvt(eo 0i ,es the spring 2.0 cm downward. The mass (r n e(0,8 ie,ozgq(lctnti5vis then pulled an 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 equ30ei r b5 rgs8u0qs1ot.edv,peol5d * ilibrium the mass stretches the spring 2.0 cm downward. 5 01qo0reiovlst5b p.3eurs dd,e8g *The mass is then pulled an additional distance of 1.0 cm down and released from rest. Write down its equation of motion.

  An object in simple harmonic motion obey8- e1k nskzxo/t39fr es the following position versus time equatio3k ze rf-nk es/t8x1o9n:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following position ve 6dk 2i0(nq dz2inbi.trsus time equationb kndini6.i(02tqd z2 :
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple ho 3v-qw y0wl/9bzsa2 harmonic motion obeys the following position versus time equation:hq -2zvws39/aby w0ol
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spriq,l;-y y ze-ldeq*l *bng executes simple harmonic motion accord,yl *d-*-qelbe yqzl ;ing 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 constant6dyr:5-es nnkqc8va iy5ty9) of 20.0 N/m oscillates on a horizontal, frictionless track. At t= 0, the mass is released from rest atq 5:9-ykty)de68v5 ai sncry n 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 and rr(-4w+ouv,- ; z r.mmmkzphb/f rk-jperiod on Earth?m.hro+ r4k-m (p,f-r; z-r mzvjbkw/ u

  A 3.00-kg pendulum is 28.84 m long. Whci 892zau c:oqat is its period on Earth?

  A pendulum has a period of 2.0 s on Earth qi8j;(4 u whfco2wyev7fe97 d. What is its length?

  The pendulum of a grandfather clock is 1.0 m long. What is its pe2r/ x4v c : s/(-ywoctgzwf7quriod on the Earth? go2utvqw-cyf w( 7cx4 z//s:r

  The pendulum of a grandfather clock is 1.0 m long. What ,1h)3qk4xscbf z*kb zvi +8ypis its period on the Moon where the acceleration due to gravity isf sp4bx,1)cb y 8zhk+*kziq v3 only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attached teq 2p.kdnfb6 -hc1pabt7:u/w o a massless string. When the mass is displaced slightly from its equilibrium position and released, the pend. 2q7udhfbk t b/enwp1c:a6-pulum 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 initiy4ndcro1aaava(6 i3 5 al angular displacement of 8.0e. It oscillates withc4(ayv3rad6 anoa1i 5 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" obn)rvb*.p 3rv fk51- l.wpj hj-h :ubnf a wave at a given time. The frequency of the wave is 120 Hz. What is *) rn-.w plvfpj35.bbj h-k1:nruhvb the amplitude?

  Figure 11-2 is a "snapshot" of a wave a)5qnv5 )p vzxfs3x wyec99:ijt a given time. The frequency of the wave is 120 Hz. Wz35nv5p: q)cx) 9vw 9sxeifj yhat is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given time. The freq*/6btq5arnmsuopg2 rx pru5240cpl 6uency of the wave is 120 Hz. What5o rqx24sg 0 trbrpp56lu2m6 /*unpca is the wave speed?

  What is the frequency of a wave which has a perww:um*l1x6 op iy6:/grlp*c jiod of 6.00 ms?

  What is the period of a wx n .hlj- w(k-qdqb-)ysm s9+aave with a frequency of 1500 Hz?

  What is the wave speed if a wave has a fre sk8.zsf2)0vn x3p kuzquency of 12 Hz and a wavelength of 3.0 mszkzfxv2 3k8n0p s. u)?

  What is the velocity of a wave that has a wavelength of 3.0 m an.* :rplrc -xw3qw e7jud a frequency of 12r-e.*j7ww u:xlqpc r 3 Hz?

  What is the frequency of a 2.5 pww+.tf (5xywapt )b4m wave traveling at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is under a tension of 1350 lun+ 7cb;1he lN. What is tcu hn1bl+ ;7lehe wave speed?

  A string of linear density 6.v -ken)) /)w sjy)g:1qqlsojb0 g/m is under a tension of 180 N. What is the velocity of propagation of transverse waves along tv1jw nq) s sk)/yqb) eogj-):lhe string?

A wave whose wavelength is 0.500 m is tr9dz.* ne u/zh, cikqlh1e,k1uaveling down a 500 m long wire whose total maklhzk,/,e1c hdz9eiu un*1.qss 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 m;kku,)8 bxtv a transverse wave on a 2.0-m long string fixed at both ends is 200 m/s. Whic, mx)kkv;tu b8h one of the following is not a resonant frequency of this string?

  If a guitar string has a fundamental frequency of 500 Hz, which one of the gonon9dyb5,3zdo7 r7following frequencies can set the string intogynrd7 7on3b, 9d5ozo resonant vibration?

  A stretched string is observed to h(c) ,wisy(eb yave four equal segments in a standing wave driven at a frequency of 480 Hz. What driving frequ ywye)(, ic(bsency will set up a standing wave with five equal segments?

  A string, fixed at both ends, /r6ma/q .xfqj; zcxfj+hy5 +wvibrates at a frequency of 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency is needed if the standing wf/f ajwy5+x+xmzj;.h r6 /cqqave pattern is to contain 4 loops?

  A string of linear density 1.5 g/m is under a tension of 20 N. What shiwyw6t-k,z s 2ould its length be,w-2wtk6yi sz if its fundamental resonance frequency is 220 Hz?

  Find the first three harmonics of a string of linear mass density 2.00 g/m anu. r/s+w2tztq d length 0.600 m when it iq+ zt wut.2/rss subjected to tension of 50.0 N.

A string of length 2.5 m is fixed5 gj0 :du2mtuh(rfhm ,;a3jya r90aab at both ends. When the string vibrates at a frequency of 85 Hz, a h,f:tg y2 au00m5(;brmjjraa3a h ud9standing 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.