The time for one cycle of a peri /0 / vcyay5gx3ztb-y* tnlq5gp9s2ra odic process is called the

  For a periodic process, the number of cycles pejqd z0e0tv,60q w cn5yr unit time is called the

  For vibrational motion, the maximum displo)tu c6-g*jpw acement from the equilibrium point is cal p-j)cu go*w6tled the

  A mass on a spring undergoes SHM. When the ma5v/jx+ktzmiam o8)-f x n*r j 92zo7bgss is at its maximum displacement from equilibrium, its instantan/br*9 ax+ fz i5 v)j-k mg7zx2omt8nojeous velocity

  A mass on a spring undergoed /u*1yssg q+:6czb8b zooe3q k.a+yvs SHM. When the mass passes through the equilibrium position, its instantaneous velo eq++y*k uoyb/dgsa .qzovzcb3s681: city

  A mass on a spring ux, rkc2g) qmuic 1b/ m2zo6+m: l5lopvndergoes SHM. When the mass is at maximum displacement from equilibm,qkglbco6m z2lc )mu /21+ivo 5:rxp rium, its instantaneous acceleration

  A mass is attached to a vertical spring and bobs up and do jrz;v3 3jfz +df/h3i;u(crzvwn between points A and B. Where is the mass located when its kinetic energy is a miniv/zjcd;; fi zjzf3ru+3( vh3rmum?

  A mass is attached to a vertical spring and bobs up and down between points (-0 7ponuakf-ad/f /u b:ysxl A andu7dn b x:(lffso k0/ya/a -pu- B. Where is the mass located when its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up and fr9,0 xsp6;uv./ kd 8vx hczvcdown between points A and B. Where is the mass locatuvfv.0prvz dx6kcs;h ,x /89c ed when its potential energy is a minimum?

  A mass is attached to a vertical spring and bobsacw wd170 ls2d up and down between points A ands 7d1cdww 02al B. Where is the mass located when its potential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-d l *t01ujdem0spring system produces what effect on the system's mechanical etd1* mu00j dlenergy?

  Doubling only the mass of vujp:p+or - ct0j/cv +a vibrating mass-and-spring system produces what effect on the syjjc+ v -:+p0/rvtopucstem's mechanical energy?

  Doubling only the spring cpe 8hio6g*em q94a , dl2(ytrmonstant of a vibrating mass-and-spring system produces what effem46 *p,qgr28a m9yidloh e(t ect on the system's mechanical energy?

  A mass oscillates on the end of a spring, both oeu b2 kn2k 1biy((x/ *1iawpztn Earth and on the Moon. Where is the period th(/ bbki(te nw1zuaxi*12y 2kpe greatest?

  Increasing the spring constant k of a mass-and-spring system causes w9 2md5xb)2eye :yjarny: 5j o-a wq5pwhat kind of change in the resonant frequeww a jy ye5)r5jp-a y:5ndxm 9b2:o2eqncy of the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system causes what kind of cn;+l( o d-ktg yux+iv(0h(hoq hange in the resonant fr unov0y(++dk -xt ( lqogh;hi(equency of the system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system causes what kind ofa 20-yspq4pz 5f gdt.1/v itof change in the resonant frequency of the d0f-sttvypa./ifgo5 p2zq 14 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 mathh9o,rbl . rb ;xf,k6ss M attached to a weightless string of length L. For this system, when und,b;9bk. oh , rrtxh6flergoing small oscillations

  When the mass of a simple pendulum is trim7c.p: ied 8aupled, the time required for one complete vibrat:ei8dc u .a7mpion

  Both pendulum A and B u0gy0bx3-f thomlj,bt 62k /vare 3.0 m long. The period of A is T. Pendulum A is twice as heavy as pendulum B. What is the perio/yb3 ,lh j 6vu 0t0tbxkmg-2ofd of B?

  When the length of a simple pendulum is tripled, thne9cp(8 c bpo+:;vmhy e time for one complete vibration increc(: ypevb89+; p mhcnoases by a factor of

  What happens to a simjt c/w;2uerwo8jb876y 8yy xmple pendulum's frequency if both its length and mass are increased?t8byw o8wrexyucj; 27j6 m/8y

  Simple pendulum A swings back and forth at twice the frequency of simp1n0y k*qak 8;b;:iwumh6dlgq le pendulum B 6*nwlbi0qam y8k;g:ku;1d h q. Which statement is correct?

  If you take a given pendulum to the Moon, whe, :.t;x-bacre9iq t nore the acceleration of gravity is less th -qt.:nxeica,to;b9r an on Earth, the resonant frequency of the pendulum will

  Curve A in Fig. 11-1 repre djg;fij8ia1w64k9eusents

  Curve B in Fig. 11-1 r3x6c.rsenh 7vepresents

  Curve C in Fig. 11-1 reprewf6rg zr1f;o*x.eig0sents

  For a forced vibration, the amplitude of vibration is found to depebb*y h+8)zqs 1 obnyz+ih7ob 3o5dbx,nd on the

  In a wave, the maximum di;x+xbds7/ zm.( yf vqisplacement of points of the wave from equilibrium is called the wavefm7zis v( xy /.dbxq;+'s

  The distance between qsx)wx/ei,v vrtaj31)4/ vvnsuccessive crests on a wave is called the wave's

  The number of crests ox4znyh4 k1 bh m9fu0*ef a wave passing a point per unit time is called the wave'*h y 14n90kefbmuzx4hs

  For a wave, the frequency times the wavelength is the wavedhucf2 0 a2pa/9,xlzv's

  The frequency of a wave increases. What happens to the distance betweerfv tyl9p;lrtu r+m+ .0t(-8y3c vo gun successive crests if the speev3vf8rr 9uom (ryp.0+;ttl ly g-t+cud remains constant?

  A wave moves on a string with wavelength l and frequency f. A second wavecjmaz6 qwd)(;tq7 n 6l on the same string has wavelength 2l an6qn)t wa6;(7lzm dj cqd travels with the same velocity. What is the frequency of the second wave?

  Consider a traveling wave on a string of length L, mass M, and tensiyevjd v; 3-fh.cd dizy3*z55pon T. A standing wave is set up. Which of the followingzvdj*y 5zvfhpi3ecdd ; 3y. 5- is true?

  A string of mass m and length L is undmt 75t.m:n(dafd1bc ner 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 the7bta1dm:. nd ( cn5fmt string is increased to 2m, with no change in length?

  A string of mass m and leng3-iq:zd+a rwuth L is under tension T. The speed of a wave in the string is v. What will be the speed of a wave in the string du3wa+: q ri-zif 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(/q quq)-5ujw0 suqh,d:manm a wave in the string is v. What will be the speed of a wave in the string if the tension is increased to 2-j5 qa) : un0wq/,q ummqdsu(hT?

  In seismology, the S wave is a transverse wave. As an S wave travels through tjusin rkt*: j*tjn.-- he Earth, the relative motion between s nt: tij--k.jjn*r*u the S wave and the particles is

  In seismology, the P wave is a longitudinal wave. As a P wave91d 5onlqs(yf travels through the Earth, the relative mot5o1n9qf( ysldion between the P wave and the particles is

  The intensity of a wa xbjg;l7,wj l5ve is

  A wave pulse traveling to the right along a thin couit sxz )mx+:z1mu* h.rd reaches a discontinuity where the rope becomesi1)z:t x*mumxz.+h u s thicker and heavier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each other on a strinq+yqm(/3pt lhrq/j5 qhw*gr+z)v l 5ng, one is traveling toward the right and the other toward the left. At the poilqlprn/+zq( j+qthvrg /)*w53hqy5mnt that they occupy the same region of space at the same time

  Two wave pulses pass each other on a string. The one travelg8rq c rc; 1(:w4k1the( ysthqing toward the right 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 thew 1esht q ;ky4c8g h(q:c(rrt1 same region of space at the same time

  Resonance in a system, such as a svhvnoq73;7egai cmf, 9: tx9mtring fixed at both ends, occurs when

  If one doubles the tension in a violin szs2 s *,gyrad*vn:zgsagm ,1. tring, the fundamental frequency of that string will increa.g y*,gn:d1azsa*ss g, mv2rz se by a factor of

  What is the spring constant of a spring that stretches 2.00 cm when a ma pqy4f +v:ayi svjovz,09p;u *ss of 0.600 kg is suspended from9, uv0;yvsvoz*4p p+ iqay:fj it?

  A mass is attached to a spring of spr zm ck.zi;/z3lhx ) 6((iiptris6lm:hing constant 60 N/m along a horizontal, frictionless surface.xcz iz (z/h.p(lm3i km6;i):tr hls 6i 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. What is the amplitude?

  A mass is attached to nza wrezmi5d38t( ;5ca 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 tr3 icazz 5e; (mw8d5nis oscillating. What is the period of oscillation?

  A mass is attached to a spr91xy7h+vn +/w zcwp*5wokjxev7tu h3ing of spring constant 60 N/m along a horizontal, frictkw*n91oxxe++ wph57 /j c7ywz3tuhv v ionless 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. What is the frequency of oscillation?

  A mass on a spring undergoes SHM. It goes through 10 comple3g r0gys fz; u02gd8date oscillations in 5.0 s. What is the periodzgsd0 8dgya30u 2grf; ?

  A mass vibrates back and forth from the free end of an ideambxnk*yu45:p; bpf5il spring of spring constant 20 N/m with an amplitude of 0.30 m. Whfni*ky55u b;b mxp4 :pat is the kinetic energy of this vibrating mass when it is 0.30 m from its equilibrium position?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m along a horizonnajk ix i,+bcvq684bilsgxe74y 9b. *tal, 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 syblbs7kg9vc8 6 eiaqy4j *,. +i4bnxx istem?

  A mass undergoes SHM with amplitude of 4 cm. The energy is 8.0 -ame ,zs;5ap z,b/tzd-r 0mgw J at this time. The mass is cut dz wz-/msb,r05t z;m,eaapg-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 spring of spring constantmd6 bzwh8.gy 2 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 vibrati.2yh 6bm8gzdwon?

  A 0.50-kg mass is attached to a spring of spring constant 20 N 9 jouiog. y+wjt .xbn8i)oy 3/gutgqt1o3b;9/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 potentialuxjibw)1ytjtyn ;i .uob g+o /83tqg3. 9oog9 energy the same?

  A 2.0-kg mass is attalzl,gy;i(da:7nhp( 2 8xl hslched to the end of a horizontal spring of spring constant 50 N/m and set into simple harmonls2lzli8(a;h hln y g,p7d:x(ic motion with an amplitude of 0.10 m. What is the total mechanical energy of this system?

  A 2.0-kg mass is attached to 0y52czn pm)ks 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 totay)p2 n c0zmks5l mechanical energy of this system?

  A mass vibrates back and forth from the free end of an ideal spring of spring cvz51 b a *a1wm7,6eno*xe2yc)cdjib ionstant 20.0 N/m with an amplitude of 0.250 m. What is the maxwe6)zna12oij71miv*5ab ecb, c* xy dimum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring system is displaced 10 cm f6yiyma z yb1qv4:at37rom its equilibrium position and released. A frequency of 4.0 Hz is observed. What frequency would be observed if the mass had been displaca i4 t:ma q6yzy37y1bved only 5.0 cm and then released?

  A 4.0-kg object is attached to a spring of spring constant 10 N/m. Thwpr qxep ryc2); 3z6;te object is p)ct3 r; 26pyqrewx;zdisplaced 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 sprizqs gnd rn3844y 1to(7n/ uyg i/;ronhng of spring constant 10 N/m. The object is dqh8z t4 gyr/7yn;nog dnr/o(i 34nus1isplaced by
5.1 cm from the equilibrium position and let go. What is the frequency of vibration?

  A 2.0-kg mass is hung frf h+l4raw(ftj,1; t2qz lfs5bom a spring of spring constant 18 N/m, displaced slightly from its equilibrirtzt4+a ( h ffw5;f 2,1jlsbqlum position, and released. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequency o w:g(jsd(h zs39 lvu/df 1.27 Hz when displaced a distance (l9/3 vsuzjsdg( d:whof 2.0 cm from equilibrium and released. What is the maximum velocity attained by the mass?

  Two masses, A and B, .jgs 2(ian3u(he8zmxare attached to different springs. Mass A vibrates with amplitude of 8.0 cm at a frequency of 10 Hz and mass B vibrates with amplitude of 53u exzn((s.i jh8g2ma .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 spri6pc7 gzm4bg3b)ck e01 m7cu)wb t+kl sng. 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. Calcula7l b7 0k6wtk u1b3 gm)ezbg+pc4msc )cte the period of oscillation.

  A 0.30-kg mass is suspe1n9s0uafge2 jnded 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 j10g 9sen2 fauand released from rest. Calculate the total energy of the system.

  A 0.30-kg mass is suspended on a spring. In equilibriumy tjf96v0 rlb4 the mass stretches the spring 2.6yb 0tj9rfvl40 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 harm 6 8n ;hvlbd7vsevujux5p 18l/onic motion obeys the following position versus time equatioll51xb8 dv;shu vn8epu6v7/ jn:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonicwld8p 0k+z/ qim 2jer2 motion obeys the following position versus time equati2pemw0z+lrd ji /k2q8on:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys t )zpet6 +:woimhe following position versus time equ zi +optwme:6)ation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple harmonic motiv7 ds-((kavdbon according to( ks -ddb7(vav 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 springj.y3( e+udx8rcthr2)) m ;wbgvba v l+ with a force constant of 20.0 N/m oscillates on a horizontal, frictionless track. At t= 0, the(8a)tb.+wm3ur h;erx)v dy g+vb2lc j 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 ov44 g: oni0l z)ji)wjs. (a) What are its frequency and per40 wj)zv lj):n4gi iooiod on Earth?

  A 3.00-kg pendulum is 28.84 m long. What is isx dzpu6;u e43ts period on Earth?

  A pendulum has a period of 2.0 s ot .+bcp, mnoch4h7zh0n Earth. What is its length?

  The pendulum of a grandfather clock is 1.0 m long. What is iaa.lyx3 u;h9m6 zk qw7cynz6 +ts period on the Eartql km .zn; yc+yh6z7u9xaaw36h?

  The pendulum of a grandfather clock is 1.0 m long. What is its period on t k9r*3mwwiov2eye d9g8 yu ,6xhe Moon whdorie9 wv 3yu ,6g*wx8ekm2y9ere the acceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consistspp*ll8(oa)t(m d .pr gxr;/lqyf48qs of a 0.25-kg spherical mass attached to a massless string. When the mass is displaced slightly from its equilibrium position and released, the pendulum swings backp.8 x*rroa/dt8(spl4lyqf q)l;g m p( 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 displacement ogtt4t3il .tj6q ebm)(f 8.0e. Ijg mq4tt ()tl. tib36et 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. The frequency of the waasa9* *hx(+4bgrms cz ve is 120 zg b(hr*a4xssm*+9a cHz. What is the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given time. Th6r1qac(7*d vfv drymc9q9n j5 e frequency of the wave is 120 Hz. What is the c(qa qdnyr9f rmv6v 7*9j51 cdwavelength?

  Figure 11-2 is a "snapshot" of a wave at a given tixxcr-vz nve b+7f, b0xg/)a, 6 fj(1(uxuuuym me. The frequency of the wave x u07ux y,u rxbfn-+6u1jbfv() xgz(mc/e v ,ais 120 Hz. What is the wave speed?

  What is the frequency of a wave which has a perik/zz:-p-xkri od of 6.00 ms?

  What is the period of a wavemvpf vmj 1-xj :xrpuy .kc,7aga/*8t / with a frequency of 1500 Hz?

  What is the wave speed if a wave has a freque3i)8 xq)vlq hhncy of 12 Hz and a wavelength of 3.0 m?)h3)vx8li qq h

  What is the velocity of a wave that has a wavelength of 3.0 m and ak ;;la+v 69h1df-crvzi k,ora frequency of 9k;hd;io avrlv,6-kf +arzc 1 12 Hz?

  What is the frequency of a 9ih-cy y+uwuup 7:y:y2.5 m wave traveling at 1400 m/s?

  A piano string of linear mass density ;jlxtk( x s7y00.0050 kg/m is under a tension of 1350 N. lxtj7xyks0; ( What is the wave speed?

  A string of linear density 6.0 g/m is under 9fv fc83y2p wbh)*tkd a tension of 180 N. What is the velocitwy)tv dp 2f98f3hk c*by of propagation of transverse waves along the string?

A wave whose wavelength is 0.500 m is travelinah2gu) t* pelxyv 6:3r) zrhl4g down a 500 m long wire whose tot)pl*xh4va glr: e3 6t)urzhy 2al 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 onx1s br7h ,hn3y a 2.0-m long string fixed at both ends is 200 m/s. Which one of the following i bnxh1r 37ysh,s not a resonant frequency of this string?

  If a guitar string has a fundamental frequewm:re, + yoh5kmxo; *qu/fv 1ency of 500 Hz, which one of the following frequencies cauefwmxy5:/ +okhq1v roem;*,n set the string into resonant vibration?

  A stretched string is observed toeqgr. htv1n tfa5 6mz0f4w:ms0 k9q 9r have four equal segments in a standing wave driven at a frequency of 480 Hz. What driving frequency will set up a standing wave 1r40 fqvm wrhaz qt5efkm. n:s9690tgwith five equal segments?

  A string, fixed at both ends, vibrates at a frequency oft6z *8 v6vequ1tfx w.d: b5wgs 12 Hz with a standing transvers:51.fvdq6 g*utv w be 6wx8tzse 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 g/m is under a tension of 20 N*zmz; ,2wi /wq s7d q5jwlhxx:. What should its length be if its fundamental resonan wd;*ml2is z, wqjq/hxwzx5:7ce frequency is 220 Hz?

  Find the first three harmonics of a stsrh w08e m:tbd1la))k ring of linear mass density 2.00 g/m and length 0.600 m when it is subje8b ae 1wrsh)0: lmkdt)cted to tension of 50.0 N.

A string of length 2.5 m is fixed at botzwv qcf:8hi :-h ends. When the string vibrates at a frequev: f8w-q:hzi cncy 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.