The time for one cycle of a periodic prjso( w.jlf.,m 2 sa,xnocess is called the

  For a periodic process, the number ofblcka 0e8(ksysqx: *d,rns .. cycles per unit time is called the

  For vibrational motion, the maximum displacement from the equilibrium pointw9;j6 . elwlyf*: etlm is called th*tlw9we.;fj6ly :lm ee

  A mass on a spring undergoes SHM. When the mass is at its maximum displaceb p-:qf bdusq4, j-2jgment from equilibrium, ip2,sjqbdb 4j gqf: --uts instantaneous velocity

  A mass on a spring undergoes SHM.0oejza.b-nu b1 3z,a a When the mass passes through the equilibrium position,ez- aau,oaj .n31bb0 z its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass is at maximum displaceme(j9ts((mjd9 i*jevb f nt from equilibrium, its instantaneous astj* ijjb((d9m vef( 9cceleration

  A mass is attached to a vertical spring ane4(s;grcp c n*d bobs up and down between points A and B. Where is the pe s4(g *;rcncmass located when its kinetic energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down between pd rte,k sc *r:4+le/smoints A and B. Where is the mass located when its kinetic erl4s:t, *d e kremcs+/nergy is a maximum?

  A mass is attached to a vertical spring and bobs up and down between poink dt2 b / ijrx405yr/5mskjjt03ttjv3ts A and 4 3r3ytitbkxmrtv t /5 jj0sk02d 5j/jB. Where is the mass located when its potential energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down between points A ani ) .(g*jkanp w 1mhc,739xdnxj c(fqud B. Where is the mass loc)jf m3wpank7d*x c9nqic.gx ( ,(jh1 uated when its potential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-spring system produces)d)gocvl6un:0 gbg,kzc pz 15 what effect on the system's mechanical e:zlcbu )dp)56goc1n gg v0,kznergy?

  Doubling only the massud.k,p f dgu91 of a vibrating mass-and-spring system produces what effect on the system's mechanical energyf.u u dd19,gpk?

  Doubling only the sprio,.2dhvd 1jd mng constant of a vibrating mass-and-spring system produces whaj.ddodmv ,21h t effect on the system's mechanical energy?

  A mass oscillates on the end of a spring, both on Earth and on the Moon. o6 h)ubqu)-rb+dyx y-he( 4utWhere is the period the gree-- (6) y udrh )b+4utxobhuqyatest?

  Increasing the sprinmp/f k*v ru cq;+ fx0b r)1tfim:87znmg constant k of a mass-and-spring system causes what kind of change in the resonant frequency of the system? (Assume no change in the system's mass m.)):krf* ;+ff8c rbp m7 xmn1vzti mu/0q

  Increasing the mass M of a mass-and-spring system causes what k u gcl sas(uib2o5.t34ind of change in the resonant frequency of the system? (Ag2 b 3soui5l4scu.(a tssume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-ana k6kn6)bx 5tq4 9nlhvd-spring system causes what kind of change in the resonant frequency of the system? (Assu)6 t 5vqa4k6xn 9lkbnhme 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 weightless st 4.net; iqr qi,ira+*yring of length L. For this system, when undergoingit a yq,rrei+ n4qi;*. small oscillations

  When the mass of a s ws5i-g/ wy7pyimple pendulum is tripled, the time required for one complete vibra y iygw75p/ws-tion

  Both pendulum A and B are 3.0 m long. The period of A is Tn-+g/ej. ltc9r 3 bteoa ,vol5. Pendulum A is twice as heavy as pendulum B. What is the periodelo g5-t,njav tb.+/o 9rel3c of B?

  When the length of a simple pendulum is tripled, the time for one complete vibrol1:.heul9 d63p ys m7rgy+ kaation increases byloyr 6pumhya 317:dek +gs.l9 a factor of

  What happens to a simple pendulum's frequency if both its lengtv yeawmtv61f4. gbp4.h and mass are ingb y1t.v46vwfa.e 4 mpcreased?

  Simple pendulum A swings back and forth at twice the)jonch/ a8 )rz4 y9eeq frequency of simple pendulum B. Which statement i zy/c9)aqe 84erhno)js correct?

  If you take a given pendulum to the Moon, where t+kv ja +e.z;dvhe acceleration of gravity is less than on a.zv k+e;d +jvEarth, the resonant frequency of the pendulum will

  Curve A in Fig. 11-1 reprhho2 c5fglczr-z p:jujz+-51xo* ,lh esents

  Curve B in Fig. 11-1 reprep ,. ko5jjphb(- ajxi8sents

  Curve C in Fig. 11-1 representsi(dcm).f* (wrf ibtzwjv87.o

  For a forced vibration, tndq 4a 0k;;xwzhe amplitude of vibration is found to depend on the

  In a wave, the maximum displacement of points of the wave from equil nr87a4ohwsk( f b2dm2x/uo0librium is called the wsn0w2ha (f 4/ 7rx mdb82kouolave's

  The distance between successw5tp m2;gdl: wt-bv;(ooly7t ive crests on a wave is called the wave's

  The number of crests of a wave passing a point per unit time is y- iy3w+j0ic )s z7rwpcalled the wave'sw s -ipjryzci0+7 wy3)

  For a wave, the frequency times the wavelength is the wavp )e/(inlayd m874 tvfe's

  The frequency of a wave increases. What happens t7varj r6zs4/8 - nim 1ttrt0tdo the distance between successive crests if the spe0a-r64st / j8ivtnzm17 ttdr red remains constant?

  A wave moves on a string with wavelength yzfy-car; 6w1)z6wk bl and frequency f. A second wave on the same string has wavelength 2l and travels with the same velocity. What is the frequency of the secow zr6ak )6cwzyb1-y;fnd wave?

  Consider a traveling wave on a string 9j a.da g**ukrof length L, mass M, and tension T. A standing wave is set up. Which of the follru* g.a 9kda*jowing is true?

  A string of mass m and length L is under tension T. The speed ow a:;d lb:ghpgbi-,u2f a wave in the string is v. What will be the speed of a wave in the string if the mass of t hu,l;2:g bgwdap:i-bhe 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 wave in the stws,p6aj+ u -vtring is v. What will be the speed of a wave in the string if the length is increased to 2L, with no change in ms,p +uwtv -6jaass?

  A string of mass m and length L is under tension T. w:dgst6x* c 9kThe speed of a wave in the string i:t* 69w xgscdks v. What will be the speed of a wave in the string if the tension is increased to 2T?

  In seismology, the S wave is a transverse wave. Ad 9e(2x-pia5uva+ 5x 3kjibwcof 6c2x s an S wave travels through the Earth, the relative motion between the S wave and the particl i+92p(6do2ibwccx 5x3evfux-a 5 kajes is

  In seismology, the P wave is a longitudinal wave. As a P w:qq)-/m2qo wc3 w vpcsave travels through the Earth, the relative motion between the P wave anqcwv 3 qwcp 2)smo:q-/d the particles is

  The intensity of a wa a,1ku i7a.euuve is

  A wave pulse traveling to the righgpne; lyu,ouy)x. (,0( dhmr m t7j/wgt along a thin cord reaches a discontinuity where the rope becoopgw; uyx0r,./g7u m d h)yjmt,n(le(mes thicker and heavier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each othethmpv 694h 0*o7qpkn ;n c4gqcr 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 th*pn hq76;4g hpnv tc9c 40omqke same time

  Two wave pulses pass each other on a string. The one traveling toward the riulig04 w3o9p; p -1lpceej9b ight has a positive amplitude, while the one traveling towar epwopij 3bp-e 9l49cil;u0 g1d 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 at both ends, d1d-wbm 9ky6koj 5/z( jfyfqgt .f96zoccurs when

  If one doubles the tension in a violin string, the fundamental freqxpwtc;;* sq3( zy9b npuency of that string will increbcxt nz sp9qp;*3(w;y ase by a factor of

  What is the spring constant of a spring that stret6o5l xj.qno0tf6uit)0 u 8yuhches 2.00 cm when a mass of 0.600 kg is suspended fromlqt5uf8hyio 0 o6uxt0j 6 n)u. it?

  A mass is attached to ax tbp*5t4can b 3s+8l/jq0ogr 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 th qbr pxc l5o/a tgj*04bt8n+s3e 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,hjot e:9 8zm9t frictionless surface. The spring is initially stretched by a force of 5.0 N on the mass and let go. It takes thj9 me:8oh9ttze 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 a(d +5+ w lfkn*ziur8gh.n/ ugelong 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 oscillatinw+ lnu8igg f(r d/. +nzh*ek5ug. What is the frequency of oscillation?

  A mass on a spring undergoes SHM. It goes through 10 complete s; /*x*sgjr3j 7;8lazexk3d tbem8 4v0kxmx qoscillations in 5.0 s.43xxr tm xv;3skx8l*/ 80ds*azjmke;bg jq7 e What is the period?

  A mass vibrates back and forth from the ffmh( dldl+m0j w4al 53ree 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 30dfwmh jamll+ld(54it is 0.30 m from its equilibrium position?

  A 0.50-kg mass is attached to a spring of spring constant7u1p0 txq;id24d ffl v 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 totd d 72xvp4fq;if 0ltu1al energy of the system?

  A mass undergoes SHM withlovx76d*pp bz;b bytv +t.9 )r amplitude of 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 cmlpod)z x *t+by67v9t .;vbp rb. What is the energy of the system now?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m along a horizong5*. p gerz at0kr2b/4skk7actal, frictionless surface. The object oscillates in simple harmonic mec k75kz4p r /k0r*gga.sba2totion 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 constaf+lovt)v: zo1.h p2*l go0gfr 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 potential energy op2l+*ohr.f1vfg lv 0gz) to:the same?

  A 2.0-kg mass is attached to the end of a horizontal spring of spring constan jzspw54q7(kab+f r5jt 50 N/m and set into simple harmonic motion with an amplitz +f5 pjqw arjb47k(s5ude of 0.10 m. What is the total mechanical energy of this system?

  A 2.0-kg mass is att6( 2b-v18 zqrai zdvbfached 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 mecha(b 2i qbvzz1rd6f-8 avnical energy of this system?

  A mass vibrates back and forth from tv 6riltwx qug*ar*+;b,3 mvw4h9ymq5 he free 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 thri9r vl,*gbha5q3 wmqu ymtw +xv46* ;is vibrating mass?

  The mass of a mass-and-spring system is displac*gxz ,)xu4qynitx r/6ed 10 cm from its equilibrium position and released. A frequency)t u/nq igx,rx*6zy4 x 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 of spring constant 1gs:q+ s,tf mpg9c,jv b+ zrl2,0 N/m. The object is dis+pg,lqbsmvr g,s:+cj9 2, ztfplaced 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 sprlx0pm(q9 3 x)xm x4x,zqo6ztiing constant 10 N/m. The object is displax l3zm9tzxipx q xx6 ,0q()4omced by
5.1 cm from the equilibrium position and let go. What is the frequency of vibration?

  A 2.0-kg mass is hungkrz5f ).66ior* ec*8p8mit dy z -oxyq from a spring of spring constant 18 N/m, displaced slightly from its equilibrium position, and released. What is the eo)ri8 p-*z56ykyozx t cmfq*86.r idfrequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequencypgtvng)t,p/, of 1.27 Hz when displaced a distance of 2.0 cm from eqgt/ gp,vpn, t)uilibrium and released. What is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to different springs. Mass 8u kc h o:n7wna*sej.8A 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 frequency of 16 Hz. How does the maximum speed of A compare to the ma:8ous. anh8w*c e njk7ximum speed of B?

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass stretches the2:cy,3 0 orxq o)qk.e8uj9r h,l0; eridvouz y spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and released from rest. Calculate the perio9:qry ui k23rcoqu;de .0 zhol,v ,y80)re jxod of oscillation.

  A 0.30-kg mass is suspended on)*g s :l+pikve 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 dow*s lp+:egivk) n 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 stretches 8x cs3)ens pz w .;nn0u2qfn5bthe s2n83nscq;n spfw0) 5bne.xz u 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 harmoni39tvfp.vrt g mh) :g-ic motion obeys the following position versus time equation-h:t .fg)9prt imgv3 v:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the fol1ii1w:o.ibwp.o n( wt lowing position versus time equati .oiw:bn1 w(two.i1p ion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motia2n 0mdk 6xn0ba y*salfys94o(*yl/gon obeys the following position versus time equation:0/02 gyn alxdsbs*y4 (ofa6 *lakyn9m
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple harmonic motion acc wy75wu1affh4 ordi a51 7wuyh4wffng 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 N/m oscl go5:,k:qg :uzv9wi uillates on a horizontal, frictionless track. At t= :zku,qg :uvwi5l:o g 90, 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 0c4-f,w 1 mfrh /uqakefrequency and period k,/ ucrmefw1-ha0f 4qon Earth?

  A 3.00-kg pendulum is 5mmn hw3b a..npjyhkw2k)8 4o 28.84 m long. What is its period on Earth?

  A pendulum has a period il v*b4r oy2/ef.b3,5odu +qhtioo ,mof 2.0 s on Earth. What is its length?

  The pendulum of a grandfather clock is 1.0 m long. What is its pe 1f*hl0meyw k7riod on the Eafl *1mkhyw07e rth?

  The pendulum of a grandfather clock is 1.0 m lot5m6bcr bz* 3ou;wc+ jng. What is its period on the Moon where tc;jm65u c3twb z+ *rbohe acceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kgxeofykhcx. g7+3+y : )0vtofs spherical mass attached to a massless string. When the mass is displaced slightly from its equilibrium position and released, the pendulum swings bacyt+oox7g :ksf+3ce. vy0 hx) fk 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 angular displacerx1q7ap6 t8b4 ,gz a;w ehfj9bment of 8.0e. It oscillates with a period of 3.0je6q17 rxhbtg9w 8a;zf4 pa,b0 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 of tsusfrm fmen+tbp c7;dti ( ql3mzx o/):);57ghe wave is 120 Hz. What is the amplit)3foi+:m rm57lscf/mubg7xdzseq; tn() p ; tude?

  Figure 11-2 is a "snapshot" of a wave at a given time. Tk8sk6i ucpoyl23d3em x2ji 06he frequency of the wavedkiic jyo6u0l2m8 k2x6s ep33 is 120 Hz. What is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given time. The f4w3b 8lv gksem47t o4frequency of the wave is 174 f4o slbt8ekvm4g3 w20 Hz. What is the wave speed?

  What is the frequency of a wave which has a period of 6* ifc b2 /632kb2mbrfogt7uup .00 ms?

  What is the period of a wave with a frequency oz3 w i 0u0*0vfcuie xpyq0s2ht4 v/dm,f 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz and a wavele 7e.yqj3pmwwc11 qk8 zngth of 3.0 m?qkz1yjmeq3c8 p w1 7w.

  What is the velocity of a wave that has a wavelengfs +u0 b23wfnvth of 3.0 m and a frequency of 12 f+wb n2fv30 suHz?

  What is the frequency of a 2.5 m wave traveling at 1400 m/5m;85gbqfnx ds?

  A piano string of li;6ed2t,wuv;b o7lnfu near mass density 0.0050 kg/m is under a tension of 1350 N. What is the 27uueo,6lb;dwv t ;fnwave speed?

  A string of linear density 6.0 g/m is under a(t2y.6znz wwi esj*l9 tension of 180 N. What is the velocity of propagation of transverse waves w2ln6w9iztye s(z. j*along the string?

A wave whose wavelength is 0.500 m is traveling down a 500 m long wire whose avou hf/i/ wx(xgaa-1hyj1 :,tota(y,/uo1h 1a/jiv-xfa :gxwhal 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 ,rfph-o9qak- rr(iw.a 2.0-m long string fixed at both ends k( a9 r p-.wh,qo-irrfis 200 m/s. Which one of the following is not a resonant frequency of this string?

  If a guitar string has a fundamental frequency zrc3jg/gnqj xtf* y-8gx6d9p)she 7h .9pmi ) of 500 Hz, which one of the following f6 )yxghz7.c ifn9r ptms 3xpgqj8-e*/j)h9gd requencies can set the string into resonant vibration?

  A stretched string is observed to have four e-d gs75ghs ,wuqual segments in a standing wave driven at a frequency of 480 Hz. What driving f7gg5udh-s,w srequency will set up a standing wave with five equal segments?

  A string, fixed at both ends, vibrates at a frequency of 12 -hgrl.sa yypu9r; mp h :i)ke+32fn9uHz with a standing transverse wave pattern containing 3 loops. What frequency is needed if the hk +gl;upm9-yh2: 3pena r su. yirf9)standing wave pattern is to contain 4 loops?

  A string of linear density 1 /gnpu4,bkk j+.5 g/m is under a tension of 20 N. What should its length be if its fundam ngukj,pb+/k4 ental resonance frequency is 220 Hz?

  Find the first three harmonics of a string of linear mass densinlce2,n s mr/ ()p:tmsty 2.00 g/m and length 0.600 m when it is subjected to tension ct( )pl sermn:s,mn2/of 50.0 N.

A string of length 2.5 m is fixed at both ends. When the string e qb:b/uslf:9 vibrates at a fre s :bel9b/fuq:quency 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.