The time for one cycle of u yp9qzn3jrnok 9 ;8(da periodic process is called the

  For a periodic process, the number o 8n84qfnc37a9 :o khewqtqqv+f cycles per unit time is called the

  For vibrational motion, the maximum displacementv,byh d0bv*nwzjv+l:y 0 tr89 from the equilibrium point is callb 0,hw *vj8r :0dy9+bytnvzvled the

  A mass on a spring undergoes SHM. When the mass is at its maximum displo bgz2) xq+y dai:)fh(acement from equilibrium, i zg)+d a)(x iybo:2qhfts instantaneous velocity

  A mass on a spring unh5v .jxi-5d /z5j1pgk2 f1xjv*bnroe dergoes SHM. When the mass passes through the equilibrium position, its instantaneous veloci1 x1.5-xf o*dj2nervvhzb j jp5kg5/ity

  A mass on a spring undergoes SHM. od co3wmk;r br .0px6+When the mass is at maximum displacement from equilibrium, its insta;p3 d6o 0bcmrr.kx+ owntaneous acceleration

  A mass is attached to a vertical spring and bobs up and down between pointsvin g uo0/a3w2 A and B. Where is the mass located when u3wo n20/avi gits kinetic energy is a minimum?

  A mass is attached to.hqu :h3x2j8 h:xwk9k k4dor11gwvgi a vertical spring and bobs up and down between points A and B. Where is tgxdx9r4gi11j v wh2 h:38ouqk kh:.kwhe mass located when its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bob/u+yrec5 ; brvs up and down between points A and B. Where is the mass locacr+r ;5buv e/yted when its potential energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down beb k +.1vjf(geutween points A and B. Where is euv.k +bg(1 jfthe mass located when its potential energy is a maximum?

  Doubling only the amp)4+j+/ j)ieea s mutdslitude of a vibrating mass-and-spring system produces what effect on the system's m4e+dtsa+ /)mije )jus echanical energy?

  Doubling only the mass of a vibrating mass-and-spring system produces what efz4+,jxd iqlx1t+zo o7 yg1rn. fect on the system's mrz7zo. 1+oygl ix, 14 jxdqn+techanical energy?

  Doubling only the spring constant of a v4nk4vzda6j3 vibrating mass-and-spring system produces what effect on the systvdzjna3v 4 k46em's mechanical energy?

  A mass oscillates on the end of a spring, both on Earth an74zdvxe0:cmeaz: k v )d on the Moon. Where is the period the greatestxz:ae4vedckm0 :7 v)z?

  Increasing the spring constant k of a mass-and-sprinj bp:d u+rn,a2g system causes what kind of change in the resonant frequency of the system? (Assume no change in the systemju p +brn:,2da's mass m.)

  Increasing the mass M of a mass-and-spring systue stco/h; ,jezwui.0vg)8v5 2z,zr f em causes what kind of change in the resonant frequency of the system?vv rte;0ofi2,g)z. zes5,wj/8chu uz (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system causes whatj*3 fsaioxvb6-5u u.e kind of change in the resonant frequency of the system? (Assum i5jsf3-6xvau o.ub *ee 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 weih y5sil6gi)7pghtless string of length L. For this system, wheiys6 p)hlg5i7n undergoing small oscillations

  When the mass of a simple pendulum idgy y9m2 n hrxeb16i+q3bpc /*iil+k2s tripled, the time required for one complete v6miy2qn eirdcpk b+*31xg+ lyi92 hb/ibration

  Both pendulum A and Bto.y uy;5lnhsx1s646m y zj* w are 3.0 m long. The period of A is T. Pendulum A is twice as heavlms5 znj6y6.*shy yxt;1wuo 4y as pendulum B. What is the period of B?

  When the length of a simple pqqd/ .q mkq*u6y6g gn-endulum is tripled, the time for one complete vibration increases by a facto 6qg/q6ymkd .gnu -*qqr of

  What happens to a simple pendulum's frequency if both iu u*b,xon1,m7 u apum)ts length and mass are increasedu)* buam ,ou pxn,u17m?

  Simple pendulum A swingae2wej g)g7 8ys back and forth at twice the frequency of simple pendulum B. y7ag28gjee )w Which statement is correct?

  If you take a given pendulum to the Moon, whiqvop31 n5ti /ere the acceleration of gravity is less than on Earth, the resonant frequency3i nv /ot51ipq of the pendulum will

  Curve A in Fig. 11-1 ipa-piwt 8n9rv v651trzto +)represents

  Curve B in Fig. 11-1 represenwmbds .p 3r8;n6 cbtvi:o0nv-ts

  Curve C in Fig. 11-1y-g v +km6)vli represents

  For a forced vibration, the amplitude of vibratii56h 7vxn8+4x .(3 xneljpt1 .hiito-sxngtkon is found to depend on the

  In a wave, the maximum displacement of poin//xl /rvc/ skr)p1vyy ts of the wave from equilibrium is called the w/r)vcs vk /lr/yx/1pyave's

  The distance between successive crests on a wave jd/2,fj7nxb y);j / mjjn8* f xcpj-guis called the wave's

  The number of crests of a wave passing a point per unit zut5(;kyj /b co mn/8ftime is called the wave's(kc85 /;y/ju mobnft z

  For a wave, the frequency times the wavelength is the wa v)lv93d;bgengn+cn.ve's

  The frequency of a wave increases. What happens to the distance betweenxl:2v9v6b.nbj( dlok successive crests if the speed remains constant?l.(voj v9b bd6n:lx2 k

  A wave moves on a string with wavelength l and frequency f. A second *hm2epo pexa af3+l/*zfz3, dwave on the same string has wavelenmfxl3/+e2 hdze*3zafapp, o*gth 2l and travels with the same velocity. What is the frequency of the second wave?

  Consider a traveling wave on a string ofn v t/dpf 4,*0mm81blmt/v n88vmyjrb length L, mass M, and tension T. A standing wave is set up. Which of the following is true0/bvn m4y/8n8pj,b8 dlmr t1 *vvmtmf?

  A string of mass m and length L is93a:hhaa6 glv7 9klci 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 thg cla:lai9h akv97 36he 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 gtsv (1x/ 5x9g4dht ukwave in the string is v. What will be the speed of a wave in the string if the lhs1/tx xgg594 u(k tdvength is increased to 2L, with no change in mass?

  A string of mass m and length L is under dnzj -+nalv(e: *r**i 8ttzjs tension T. The speed of a wave in the string is v. What will be the speed of a wav* sa:lzrit(v*jtnej 8 *d+n-z e in the string if the tension is increased to 2T?

  In seismology, the S wave is a trmlg1kn y rt1/ggl :x9:ansverse wave. As an S wave travels through the Earth, the relative motion betwelg1yxm9g/g:knr: l 1t en the S wave and the particles is

  In seismology, the P wave is a longitudinal wave. Ayq/c8 sq 6xse4qpc p2d8pw ;+bs a P wave travels through the Earth, td p846b/spq+8w2cpqqcxe ys ;he relative motion between the P wave and the particles is

  The intensity of a w1:q)y/ jig4t*/brxdqe6 uj12c b lhavave is

  A wave pulse traveling to the right along a thin cord reaches a 1boygcr r*pyj23 -7efdiscontinuity where the rope becomes thicker and heavier. What is the orientatio *ybj3 cer12g pyo-f7rn of the reflected and transmitted pulses?

  Two wave pulses with equal posi7 qew)t; fu7 y,x8acpn k3/myetive amplitudes pass each other on a string, one is traveling to fn/yuwp7yq8 7mxa, )t ec;k3eward the right and the other 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. The one traveling toward theqhiko:ndq0g9 7s1a9 u right has a positive amplitude, while the one traveling toward the left has an equal amplitude in the negd0:au o7 k9i9s 1nqqhgative 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, ogtk4dmx*xup l9 :0f; pccurs when

  If one doubles the tension in a violin string, the fundamental frequency of th,dmsgj -4wl o,at string will increase dl-os ,wjmg ,4by a factor of

  What is the spring constant of a spring that stretches 2.00 cm3 z06xnok92hl6v 9v apoeo6gc when a mass of 0.600 96va g2lxzo0ke6o6v nhp3o9c kg is suspended from it?

  A mass is attached to a spring of spring constant 60 N/m along a horizontal, fr-nrr,px h,23jq,gt fj ictionless 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. Whatq ,r2j, f,-tr nh3gpjx is the amplitude?

  A mass is attached to a spring of spring pizx d,ud2gi o2kg 6okuz-kp+1xn5 w)lg;4 .gconstant 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 equilibrium uxgz1)ndxok2gd oi2- l,k6g45kug.;wpp+ ziposition 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 honvu9kzdz:2: qh 6ad 23uxtl;irizontal, 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 toz3 2vnut2dl:i;qu6 xa zdh: k9 its equilibrium position when it is oscillating. What is the frequency of oscillation?

  A mass on a spring undergoes SHM.)qktxo+.:szqy, hjk+ 3 ci oc34gj7dk It goes through 10 complete oscillations in 5.0 s. What is the perih++4i,s3c)k.tgjq ykox odjc3 qz7 :kod?

  A mass vibrates back and forth from the free end of an ideal sprina fhiq12l w)tao;j3) kg of spring constant 20 N/m with an amplitude of 0.30 m. Wali;j3 ah 2 )okfqt)w1hat is the kinetic energy of this vibrating mass when it is 0.30 m from its equilibrium position?

  A 0.50-kg mass is attac*t d. 8 tb*oc/ameo()inxds4 gm+r6txhed to a spring of spring constant 20 N/m along a horizontal, frictionless surface. The obj t6g4 xa)n tde/(m.*bsc*o+ rxim d8toect 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 amplitude of 4 cm. The energy is 79ycvkawg4k- c (dt0i 8.0 J at this time. The mass is cut in half, and the system is again d7vg ( 4kyw0a-ick9tcset in motion with amplitude 4.0 cm. What is the energy of the system now?

  A 0.50-kg mass is attbkgij6.(ui: ma2lzh9 ached to a spring of spring 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 the amplitude of 6i :2a jlukb. m9giz(hvibration?

  A 0.50-kg mass is attached to a spring of sx5roc )y qh cj3hfj-73u*fvmxpc1b8 0pring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.yoh q0ujc c3-3*r 78fxcmx51hjfbv p )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 ot*q +oiy g*4nxbbzp*;f spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the totalp;x* *+gn oibz4tqb*y mechanical energy of this system?

  A 2.0-kg mass is attached to the end of a horizontal spric .kpf-c2uxm3wxf x wp8hbegye -.3-6ng of spring constant 50 N/m and set wuexf-2g.w38hy63pe-pbx f k-cc.mx into simple 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 ed;yyy3y/(8k b:,w3 0efj/ tb sa nzjghnd 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 ( zabys:hy /03/8,y kj3gbef;jywntdthis vibrating mass?

  The mass of a mass-and-spring system is displaced 10 cm from its egsnw0o hsv:o5p 3)3qiquilibrium position and released. A frequency of 4 3qohn 5o3 wpgv:0ssi).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 of spring constant 10 N/m. The obj cusuwt 5ss16hem-9+ ulkav-,ph9a*q ect is displ s-t*-9spcmvu5, lqes uwa6 hk1hau+9 aced 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 vh3i(p;e8e ) tdt8c upof spring constant 10 N/m. The object is displavcdp ; t8i38up()etheced 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 sprina58; 6(ncanreu ro5y7qm( megg constant 18 N/m, displaced slightly from its equilibrium position, and released. What is the frequency of itsa (mgeyam5onq(5c e u67rn8r; vibration?

  A mass is attached to a spring. It oscillates at a frequency of 1.27 H95dd*ejy7 .wkfb ci3njs(+/6i llmst z when displaced a distance of 2.0 cm from equilibrium and released. What is the maximum velocity attaijim*lsn7fd k .i+(tw5cy3jsle6b/9dned by the mass?

  Two masses, A and B, are attached to different springs. Mass A vibrat54 h193m shs6zec zfezes 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 speed of A compare to the maximum speed of Bsm z eheh4z6z15fs3c 9?

  A 0.30-kg mass is suspended on t mjbbtxc3+e o;8-ejhg v.7xcr u-9sj;y,6bxa spring. In equilibrium the mass stretches the spring 2.0 cm downward.ojxyb +,b -- s v3ct 8ut7mj6;.crh ;g9exbjex The 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 spkevbe 940;f)xsc r8zbring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pull4ferkeb ;)8vsbz 9x 0ced 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 equilibrium the mass stretc,n o:cvto1a: xhes the sot1 o,cn:ax v:pring 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 motion.

  An object in simple ha*rv735mn 9tj a1syexl rmonic motion obeys the following position versus time equat jvsr9n13yxmea 57lt *ion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following positio1j 3mvgl;uh8.m9l m*ik pxjp3n versus time equatiil hmx;8gjmujl*p33p9k.m 1von:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the foll(hd m29e;q hdzowing position versus time equatioe ; dqmz(d9h2hn:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the frees6 +l,2cskr9s :lwsf f . 8e;3njbztwf end of a spring executes simple harmonic motion according to the equatekf rf .l j; 9ssnw ls,b+t:fz3sc2w86ion $y = 0.50 \; \sin (18\pi \times t)$ 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 constcan tp;jvp(:r7k 5 p c*agz43vant of 20.0 N/m oscillates on a horizontal, frictionless track. At t= 0, the mass is released from rest at x= 10.0 cm. (That is, the spring ipk:rtc pjp(5 73cn4z ;vgaa v*s 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 kjq+1)r1t rz fkkdp438.0 s. (a) What are its frequency and period onq rfk13+1j4ptr d)zk k Earth?

  A 3.00-kg pendulum is 28.84 m longlr* vq r+-f(zh. What is its period on Earth?

  A pendulum has a peril6 m a2ru9o9neod of 2.0 s on Earth. What is its length?

  The pendulum of a grandfather clock is 1.0 m long. What is its period on th6jq c*7 3c(t( myfbltge Earthtyl7(bmf 3 j(gq6c *tc?

  The pendulum of a grandfather clock is 1.0 m q7 9 5 mrpcmk9+kktr6wlong. What is its period on the Moon where the acceleration due to gravity is only p5r9wqckk976+mr t km $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attached to a masslcw+8-ad2n (l3uqcqsxess 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-kg mass (same diameter sphere) had been attached to the string instead?28l3ac sc x-dq wn+uq(

A simple pendulum consisting of a 20-g mass has initial angular displacement o0qvjg. 1ua n4qhi5 dk j-o+sc4f 8.0e. Itj s- 4ac4uo+qg0ijn1q5. dvhk 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.0th by6 - a-+tw(dhjwx The frequency of the wave is 120 Hz. What is th(jwtah 0 -6-xhdw+ytbe amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given time. Thk5 ypbr5z:+ vw tn,+ske frequency of the wave is 12 ++5pw5 snkbrzy:,vkt 0 Hz. What is the wavelength?

  Figure 11-2 is a "snapsh 03a7 z4izhigaot" of a wave at a given time. The frequency of the wave is 120 Hz. What izi73ia h 4ga0zs the wave speed?

  What is the frequency of a wave which has a period of 6u )hf0kps6f s:n kg9u6.00 ms?

  What is the period of a waveci*klzi,.v ( /trvj j. with a frequency of 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz and a waveledvx 805vp toc(ngth of 3.0 d(xt0 pvcv8o5m?

  What is the velocity of a wave that hachs(11(pfu2 , b llkrms a wavelength of 3.0 m and a frequency of 12 H1u,f(hcl2k b 1 (splmrz?

  What is the frequency of a 2.5 m wave traveling at 1400lzm(9rel zt8iq 0 v,+dasa o,7 m/s?

  A piano string of linear mass density 0.0050 kg/m is dkp8q o-ica( ,under a tension of 1350 N. What, o-8dip(cakq is the wave speed?

  A string of linear density 6.0 g/m mh0y tv yi-0ppn/t/c -is under a tension of 180 N. What is the velocity of propagation of transt0ph yn0/ym-ip t-v/cverse waves along the string?

A wave whose wavelength is 0.500 m is t9fp,e8o:eq/7 pm6cssy o ,kqiraveling down a 500 m long wire whose totqsio,k6p8fyeo7p s cq,9 em/:al 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 propagatinb23b ggn gwm2t* r93wjmz4wa9 e2hs ,on of a transverse wave on a 2.0-m long string fixed at both ends z34, r ms2wgnjm wawb23e hg2n*tbg99is 200 m/s. Which one of the following is not a resonant frequency of this string?

  If a guitar string has a fundam q8 ++xsfacklq)50qni ental frequency of 500 Hz, which one of the following frequenci0 l fxsq 85)a+qcki+nqes can set the string into resonant vibration?

  A stretched string isl9f 2 mgzd+(uj observed to have four equal segments in a standing wave driven at a frequency odgj9fz 2l+(umf 480 Hz. What driving frequency will set up a standing wave with five equal segments?

  A string, fixed at both ends, vibratwi;;3;nmjob f es at a frequency of 12 Hz with a standing transverse wfbnm3w;;oj; iave 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 g/m is under a tension of 20 N. 5+8t d-sbmu uwa3 yr+hWhat should its length be if its fundamental resonance frequencau5y8b+ w+trmsh -d u3y is 220 Hz?

  Find the first three harmonics of a string of linear mass density 2.00 jl 4gzk0lg1f .g/m and length 0.600 m when it is subjected to tension of 50.0 N.10kfl gz.j4 lg

A string of length 2.y2j ju; oq-sdzav pi2nc.qe+6 o6 qg4)5 m is fixed at both ends. When the string vibrates at a frequency of 85 Hzv e-2zo 2ijs6nay q);.dpguq4c jq+o 6, 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.