The time for one cycle of a periodic proc+ 0dqpxd* qb/miu:tq s)c *4btess is called the

  For a periodic process, t-lnbev tu vbfu+ , 6r.8xc5k:ghe number of cycles per unit time is called the

  For vibrational motion, the maximum displacement from the yrj(cq9mr ozc, n00m6 equilibrium point is called th(z9y06cmr,qcnm0j r oe

  A mass on a spring undergoes Sm wj 8lzur *i)4i5doc+HM. When the mass is at its maximum displacement from equilibr)u*+izrmjo c4i 5l8w dium, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mastvk2u uc bu9+;s passes through the equilibrium positiou+t92ukvc;b u n, its instantaneous velocity

  A mass on a spring undergn;gv1t :7e togoes SHM. When the mass is at maximum displacement from equilibrn ;oe1tvgg7t:ium, its instantaneous acceleration

  A mass is attached to a vertical spring and bobs up and down betmiemmn11i* z/of; ezxf: q4w lax)+.sween points A and B. Where im)efes; mi* i:1 m/.x x+ozzqwf1ln4as the mass located when its kinetic energy is a minimum?

  A mass is attached totx e w* mdkzxk5( ff48u4y;on2 a vertical spring and bobs up and down between points A and B. Where is the mass loca*m8zx4( 2n4fyoexft uk; dw 5kted when its kinetic energy is a maximum?

  A mass is attached to a vertical sprinmye 8-fv a.* gj9yd 6js,l-rqag and bobs up and down between points A and B. Where is the mass located when its potential eneydv8-lm arf, sy6 9g*ajej -.qrgy is a minimum?

  A mass is attached to a vertical spring and bobs up and down between points A anwndhab)+-qn v1 kd( 6jd B. Where is the mass located when its potential energy dbd wv-+n1najkq (h)6is a maximum?

  Doubling only the amplitude of a vibrating massiu+mr*2; zmhusk- bh )-and-spring system produces what effect on the system's ms2uz+ k uh*)h; mimbr-echanical energy?

  Doubling only the mass of a vibrating mass-and-spring system produces wha7xw4 7bjvcew5 t effect cew45b7xwv j 7on the system's mechanical energy?

  Doubling only the spj-g+hiba , qp/6 rbr1rring constant of a vibrating mass-and-spring system produces what effect on tir1pg+-hqab r6rbj/ ,he system's mechanical energy?

  A mass oscillates on the end of a spring, both on Earth and on the Moon. Whex8vrg ardtbtk*.z;2fhk z 3ylst )d7xa9 37f/re is the period the greatesd 8./ k;3yr l9tr th2af7b7xgvf3 zsdkta*zx )t?

  Increasing the spring constant k of om)2ppl4eo7o m0xf *zo dth8)q x*yi /a mass-and-spring system causes what kind of change in the resonant frequency of the system? (Assume no change in the system's mass4lp7i)8m2 p*0yq h zdofome t/xoox*) m.)

  Increasing the mass M of a mass-and-spring system cauw6kc t+ 9sr wfdsgx2l6 9hp.j2ses what kind of change in the resonant frequency of the system? (Assume no change in the system's spring co9x9 k6 r2wsfj2wl gsc+pt6h.dnstant k.)

  Increasing the amplitude of a mass-and-spring system causes what kind of change i5 xb 5y r8uwft6l77luin the resonant frequency of the system? (Assume no i5 wlt6b8x7lryu5 f7 uother 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 attach t+j w9ad/;xqmrglr+m6x6/i aed to a weightless string of length L. For this system,r+xq;ldxi9 /6 /gja+rmm aw6 t when undergoing small oscillations

  When the mass of a simple pendulum is zp-1rz csmt+5 nmmm-s, jdk3+tripled, the time required for one complete z5+s1jsmd-t nc, -kp+m m z3mrvibration

  Both pendulum A and B are 3.0 m long. 4buq9th l+w7mnw*p 4xmds l,0The period of A is T. Pendulum A is twice as heavy aslmhw tuws,0d4 l q*9 mxnp47b+ pendulum B. What is the period of B?

  When the length of a simple pendulum is tripled, them2 mm tm0mznysa,gv: ( /:nih2 time for one complete vibration increases by a,::mg0m(s myi h zt2nv2/am mn factor of

  What happens to a simple pend)+x pmkc;a(equlum's frequency if both its length and mass are increa;mqe+()pkac xsed?

  Simple pendulum A swings back anx45lvh /6mxg hhl,r3bd forth at twice the frequency of simple pendulum B. Whighm6l h3 lxxb,r/54h vch statement is correct?

  If you take a given pendulum to the Moon, where the2elxhc++spmetp es1oiu , 8,1 acceleration of gravity is less than on Earth, the resonant frequenp,8u ,oe+e phis2 e 11m+xcstlcy of the pendulum will

  Curve A in Fig. 11-1 repreu1t+- y4 .gt tpk0c rgq)+mtqtsents

  Curve B in Fig. 11-1 rev,ta+bhpxr:9pai .x7ibt; 8opresents

  Curve C in Fig. 11-1 thqf2z3fk+cnqx s8:) 6e7 qk i l;oh,hrepresents

  For a forced vibration, the amp -xdsii n5zh9(litude of vibration is found to depend on the

  In a wave, the maximum displacement of points of the wave from equi rkco50w92;sy-y tmw tlibrium is called tw5 rwyy-s2oc t9t0 mk;he wave's

  The distance between successive crests on a wave is ca kaduhlaqryz sod y); 159o9mpg:t983lled the wave's

  The number of crests of a wave passing a point per unit time is called thexz+l* 3lx 4ljo wave'x3z+x4ljl*ol s

  For a wave, the freq9vk52s*v j spdst jh6 *r4(joiuency times the wavelength is the wave's

  The frequency of a wave increaseu8bwcawcp(ay) )/ 1f cs. What happens to the distance between successive crests if the speed remacw aa cy)1w uc/f(p)b8ins constant?

  A wave moves on a string with wavelength 5wm 46;a 7 i+ ochfm;ktf q6cdq/dwok: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 tf m4o+tdao/q: wcd h;kfw5mk7iq;66che second wave?

  Consider a traveling wave on a string of length L,w;i kcy:sjp55vt (evc .l j(2b mass M, and tension T. A standing wave is set up. Which of the following is tr e5y vis;jbltj(2k vc5. (w:cpue?

  A string of mass m and length L is under tensio2e t-v:h76wftc eb ls1n T. The speed of a wave in the string is v. What will b2cl :6evw s7tetb1-fhe 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. T3 7/ 0 kjoai vo)folcnpj(* w kw2ohqy1n*0qw3he speed of a wave in the string is v. What will be the spepk 7 iaqw /2oq )3flcyw1ohnoj(*3 nkv0*jwo0ed 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. The speed of a wave i h;/1jchlo)xvn the string is v. What will be the speed of a wave in the string if the tension o)/ j 1clv;hxhis increased to 2T?

  In seismology, the S wave is a transverse wave. As an S wave7j:ufj3 kn)h* n7gz96d;pfoba egq) q travels through the Earth, the relative motion between the jn;g)hazd*7 6egq q)kffbjunop937 : S wave and the particles is

  In seismology, the P wave is a longitudinal wave. As a P wave travels through )r 4d.t e9kpixthe Earth, the rd tri). exk49pelative motion between the P wave and the particles is

  The intensity of a wav xh*).znbcv9sp4tsy: e is

  A wave pulse traveling to the right along a thi89xk g g8isorzlyn ,7bxxd4((n cord reaches a discontinuity where the ro9x4l7onx8gr((kgizy ,sx b d8pe becomes thicker and heavier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes 4aggo4 5dt qi*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 thio da4q ggt5*4e same time

  Two wave pulses pass each other on a string. The one traveling toward the right47rk- f;(qgmy zuk01wtj bp7upy -7gq has a positive am( kzgj 4wg kpy7upq7-;y0bm-trq u 17fplitude, 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 v(ly(3j 8h ixeas a string fixed at both ends, occurs when

  If one doubles the tension in a violin *zkg3z2sqn ksdq 2s..,otk; w o*s,gjstring, the fundamental frequency of that string will increase by a factor ok ,qo,.k s s*wzks3zs;dg*n2. j2g toqf

  What is the spring constant of a spring that stretches 2.00 cm whenf u2aph27bek+x ,;nfj a mass of 0.600 kg is suspen b, khj;2af7+nxu 2pfeded from it?

  A mass is attached to a .uyg; sng/9e hspring 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 and let go. It takes the mass 0.50 s to go back to its equilibrium position when it is nys/9gg. e;huoscillating. What is the amplitude?

  A mass is attached to a qu9oda ps9xu.im 1o86 spring 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 and let go. It takes the mass 0.50 s to go back to its equilibrium position when it is oscdp8 9oi 6aqxs .9muu1oillating. What is the period of oscillation?

  A mass is attached to a spring of spring constant 60 N/m along a horizonnz-(9uqi hog; e*glp:hk 2j4u tal, frictionless surface. The spring is initially stretched by a force of 5.0 N on the mass and let go. It takes the mass 0.50z (n49h qk-gp;e:2o ihu ul*gj s to go back to its equilibrium position when it is oscillating. What is the frequency of oscillation?

  A mass on a spring underk 7ekmd u*6vci)n/ zj061ik dpgoes SHM. It goes through 10 complete oscillations in 5.0 s. Whav01 p )m i nkj*kz6kd/7uecd6it is the period?

  A mass vibrates back and forth from the eq- ujz(n,x tl/dbx/ ;os p0-zfree 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 0.30 m from its equilibrium positqbe , ox( /sn-p-0tjxudzzl/;ion?

  A 0.50-kg mass is attached to a spring of n-8btee6qt opxyv,3* 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 total energy of the s 6qvx* t 8-,nee3otbpyystem?

  A mass undergoes SHM with amplitude of ehg 4/j6vm:a*h2leyp 4 cm. The 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 ofy 2j4:6pl*vehgamh/ e the system now?

  A 0.50-kg mass is attached to a spring of p3zl1o *c-u 5sw-n7p)gt4q br ner1sb spring constant 20 N/m along a horizontal, frictionless surface. The obje ur cr*-1esnp7qg-51zbopbnt sw4l)3ct 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 spring constant 2aj7uqnl+f bcx *6k2ic 0bf-n8 0 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 pot07i-l6cjbfnf2qxn kb8au* +c ential energy the same?

  A 2.0-kg mass is attached to the end of a horizontal spring of spring constant ,i* : ,2ddsrk-nbglglmai11h50 N/m and set into simpl1: 2mdikbaldg-1l,r *,sgihne harmonic motion with an amplitude of 0.10 m. What is the total mechanical energy of this system?

  A 2.0-kg mass is attache:+ jj v ub*bivvm6nz ui(2/34bti o.ixd to the end of a horizontal spring of spring constant 50z*+vumt b/v2nji.ii: ux( 63 jvbbo4i N/m and set 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 for :s+ou 8qp8fguth from the free end of an ideal spring of spring constant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kiu:gu88 q+ sopfnetic energy of this vibrating mass?

  The mass of a mass-and-spring systsms)ud.3f 3n tem is displaced 10 cm from its equilibrium position amss3uf3 )ndt .nd released. 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.*2byb.o 8 glnxuyua9 to a spring of spring constant 10 N/m. The object is displaced y8.gu2o*yb ubnx9.alby
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 pxem n6cxfzow/(b baw j7649g z13 jf((xc9yk constant 10 N/m. The object is d(wp9 jy19zckjob(6 zxm(x/ 7naf 3e6 f4 bgcwxisplaced by
5.1 cm from the equilibrium position and let go. What is the frequency of vibration?

  A 2.0-kg mass is hung+s *y))b/tf+ky+ ox* bmm :da.y jkihx from a spring of spring constant 18 N/m, displaced slightly from its equilibrium position, and released. What is the frequtysyxa yok**mdjx b+/.)hif)kmb+ : +ency of its vibration?

  A mass is attached to a spring. It oscillat) i(mbbk )j,sles at a frequency of 1.27 Hz when displaced a di b)smbjl ,ki)(stance of 2.0 cm from equilibrium and released. What is the maximum velocity attained by the mass?

  Two masses, A and B, are attached 2rt4)wtl a8,ebbk *sz/d 8gwqto different springs. Mass A vibrates with amplitude of 8.0 cm at a frequency of 4k8*tqwalb2b8zt )redg w /,s10 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 B?

  A 0.30-kg mass is suspended on a sr. uj;f*: hpgh cr0ph9pring. In equilibrium the mass stretches the sp0cf*;rh:pp r h hug.9jring 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 oscillation.

  A 0.30-kg mass is suspended on a sprind -)h61a st z3vrycy*5x bwr8qg. 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 totashzyby8r-xr1at* c)5w 6d qv3l energy of the system.

  A 0.30-kg mass is susuq 7 xv bexqzov;/i2xx72(n*xpended 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 rexov q7xnxi(ub v2qx/xe;72*z st. Write down its equation of motion.

  An object in simple harmonic motion obeyay*she 5j)3 eys the following position versus time equation)*h3jea esy5 y:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obesk6e;36a ql)-3mfzar5vxuxksg b6; ranrs5,ys the following position versus time equation-6qr6xknz)rsel k5sfm avr x; a3b5u ;3 6sag,:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys tabt-9ne /v5y nau8 st5he following position versus time equ -ut bsv5n8e 5y/a9tnaation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple harmonic motion assrqlz c(e7( -ccording to (cr(7s qe-s lzthe 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 phowzmq,; f. .u-7x s b5isd1cwith a force constant 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. (,fc5 . h7w mquz.-i1spboxs;dThat 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 frequegvqq*w, 8;a mjncy and period on Ear qv*8,gq;mjw ath?

  A 3.00-kg pendulum is 28.84 m long. What is6dvevgveg 898,)siz+tx0 jdk its period on Earth?

  A pendulum has a period o10wgsm ey:kz 7f 2.0 s on Earth. What is its length?

  The pendulum of a grandfather clock is qk ; z;afi5e+ uztr//z1.0 m long. What is its period on the Earth;;u izzq/5ar+ et/kzf ?

  The pendulum of a grandfather clock is 1.0 mt0npl(lx od8+sh* ih9 long. What is its period on the Moon where the acceleration due to gravilsl 9h 8h*id0ntxo(+pty is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attawcjee-2j8bb / xbz8v .ched to a massless string. When the mass is displaced slighjc xb/.ee v8 -8jwbz2btly 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?

A simple pendulum consisting of a 20-g mass has initial angularm5t e,vel2d2h displacement of 8.0e. It oscillates with a period of 35 m2vt2dehe,l.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 "sna ylq2: d+ayu3a-ug2rw pshot" of a wave at a given time. The frequency of the wave is 120 Hz2d+a23uq: ywa-lrgyu . What is the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given timpfv 7u5u 8mje)e. The frequency of the wave is 17f ujpev8) um520 Hz. What is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given timebp 5yr55ef2 upqt8-qj -wl6zm . The frequency of the wave is 120 Hz. 8lzj6q- tuwf qepbrp5y-m5 52 What is the wave speed?

  What is the frequency of a wave which has m rx /-fh -sjdubt:v3ks+d,5wa period of 6.00 ms?

  What is the period of a wave with a freqh3ild-i hfirwh 97vdv */ +o(kuency of 1500 Hz?

  What is the wave speed if a wave has a f 34w8wlfeurr s : tqh 8cv-6:1hrer 5.rss(tdurequency of 12 Hz and a wavelength of 3.0h: h w-3etwdrr.u 54f6rtle u(8s 1v8: rsrscq m?

  What is the velocity of a wave that has a wavelength of 3.0 m and a freq0g 82 n72ju(k4uzjnfvn8 rg xl(o5cuafe u26puency of 12 Hz?g72ff2 jk(0 vl (2uaex4p zgu 6u5nocunr8j8n

  What is the frequency of a 2.5 m wave traveling fgu ;f zj/az5r 4;f zir,86l+rwj(ddwn,d6ciat 1400 m/s?

  A piano string of linear mass dy*r05 qqqbbr4 ensity 0.0050 kg/m is under a tension of 1350 N. Wh* 0b5yqqr qr4bat is the wave speed?

  A string of linear density 6.0 g/m is under a tf)h ls zuoy6vj-)5y5mqu/1 yeension of 180 N. What is the velocity of propagation of transverse wavesu)6es)h1 /l5vf5zm- qouyjyy along the string?

A wave whose wavelength is 0.500 m is traveling down a fw7 ;vaytmi;x)*bv1u 5y-rmi 500 m long wire whose total ma;ax*v 5i b7uw;vry1m-)my i tfss 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 props up 2x xicb2n7m+*sz1ye,n2 magation of a transverse wave on a 2.0-m long string fixed at both ends is 200 m/s. Which one of the following is notm 12c ymzn un7s+ix2xesp,2b* a resonant frequency of this string?

  If a guitar string has a fundamental frz+a u-vson6ql.mr p 21equency of 500 Hz, which one of the following frequencies can set the string1uma-qn ol6s. 2 zvpr+ into resonant vibration?

  A stretched string is obseqb( 19shyt*dbrved to have four equal segments in a standing wave driven at a frequency of 480 Hz. What dr bt9(1*s dqbhyiving frequency will set up a standing wave with five equal segments?

  A string, fixed at both ends, vibrates at a frequency of 12 Hz 3:d9stjcif +yw+ qu)z with a standing transverse wave pattern containing 3 loops. What frequency is needed if the standing wave pau+3:+ws cjizf9 yqd)t ttern is to contain 4 loops?

  A string of linear density 1.5 g/m is under a tension of 20 N. What should its3qg6 2eahka bek;i6 ;k length be if its fun;3hg6baq6 2;i kkkaee damental resonance frequency is 220 Hz?

  Find the first three harmonics of a string of linearf(bz28q) o k lgr3wza0y;cu(l mass density 2.00 g/m and length 0.600 m when it is subjected to tension of bzrluw2(;q of(cg k3)80a lzy 50.0 N.

A string of length 2.5 m is fixed at both ends. When the string vibracps09fu *;cm( g 2qubutes at a frequency of 85 Hz, a standing wave with five loops is f 9mf2u(p*guc0 qu;s bcormed.
(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.