The time for one cycle of a periodic process is callwg2v8 3vl *gqved the

  For a periodic process, the number of cycles per unit tizrpi(b;x5d. h kv (1wxme is called the

  For vibrational motion, the maximum displbq/stljt;h0 :+xw3vg(9 ay vnacement from the equilibrium point is calledstjghly3( q n:9wx/vabvt0; + the

  A mass on a spring undergoes SHM. When the mass is at its maximum displa j3r,mk sj57hwcement from equilibrium, its instmjh wks735,rjantaneous velocity

  A mass on a spring undergoebyav 81 gees2jgp9 5i8s SHM. When the mass passes through the equilibrium position, itygie8gb2a85 j9 e s1pvs instantaneous velocity

  A mass on a spring undergoes SHM. When the mass is at maximum displx9rbl4 kd 446fbkk ph0i+z8(f;e iqj yacement from equilibrium, its instantane;jy9pq4lk4 bi+fb rd 8 4kf xh06(kzeious acceleration

  A mass is attached to a vertical spring and bobs up and down zm1yc ;p0) temrw.jd+p c9,tibetween points A and B. Where is the mmc zp+c9m) ,t ji yp1wer;dt0.ass located when its kinetic energy is a minimum?

  A mass is attached to a vertical spring and bobs*3pp cvsp;(ja +eej 9s up and down between points A and B. Where is the mass locatse(*jve+cap; 9jsp 3ped when its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up and down between 7082 e;x5xfe3ezlcnk7acypu points A and B. Where is the mass located wc5 ;ezkxan738clex0efup2 7yhen its potential energy is a minimum?

  A mass is attached to a vertical spfir dmtp.v-wzf 35r(;1 iq(rfring and bobs up and down between points A andzr-5r(pi.t(f3 wqmd ; f1vrfi B. Where is the mass located when its potential energy is a maximum?

  Doubling only the amplitude of a vibr mq,znv)fi y+91pgth ,ating mass-and-spring system produces what effect on t)9 ,hn pfiqtz+g1m vy,he system's mechanical energy?

  Doubling only the mass of a vibrating mass-2egdq9ap44s (8 haka b q7rcf.and-spring system produces what effect on the system'8qaa 4r b2 eak(qs 4p97dgchf.s mechanical energy?

  Doubling only the spring constantc*ym89-cnjbp w4kn (g*7b0*lj zaz zq of a vibrating mass-and-spring system produces what effect on the ( kbgw8c0*j z-nmz *9ylbjpaqz 4n*c7system's mechanical energy?

  A mass oscillates on the end of a spring, both on Earth and on the cmyhg35 liz:7Moon. Where i3cg:7z m5hy lis the period the greatest?

  Increasing the spring constant k of a mass-and-spratw,nu8*e j z3ing system causes what kind of change in the resonant frequency of the system? (Aztw8a3 ,j*uen ssume no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system causes what kind2mz/g8 lbqpf; of change in the resonant frequency of the system? (Assume no change ilbm ;p/f gz28qn the system's spring constant k.)

  Increasing the amplitudrbcyqz .lu359e of a mass-and-spring system causes what kind of change in the resonant frequency of the system? (Assume u.3yzc brq9l 5no 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 string of cuhmj..+po- u 1kigg8 length L. For this system,.hjgup.u k gco1i-+m8 when undergoing small oscillations

  When the mass of a simple pendulum . uqbk 3vb 0 udv*o29ykmar9)xis tripled, the time required for one complete vibr 9d9)oau vqu2r.vk * y0bm3bkxation

  Both pendulum A and B are 3.0 m long. The period of A is T. Pendulum A 3u yr9w*d6q xeis twice as heavy as pendulum B. What is the periodwe *x3dru9y q6 of B?

  When the length of a simple pendulum i/h ojnjj-ye1i3x,4t qkdw )h1s tripled, the time for one complete vibrationhjt4now 3qejdk/y)11xi hj, - increases by a factor of

  What happens to a simple pef c fy* x +u9o9z1:bi+e ,a;bp6ogoqnxndulum's frequency if both its length and mass are increased?a uz9obxg+ efix9;f *c,: onop+61bqy

  Simple pendulum A swings bhhs bd 13ik *2yb hxptq8t3cq3y ;71wiack and forth at twice the frequency of simple pendulum B. Which statement i1 kt2h* 3wychtqd3x bi1y83hb 7qi;pss correct?

  If you take a given pendulum to the Moon, where the acceleration of gravityagmsah46 (*i 0vl bq8k is less thanag6k84lbq *0(savmhi on Earth, the resonant frequency of the pendulum will

  Curve A in Fig. 11-1 re +cukw ge8w1i8vh( i.ppresents

  Curve B in Fig. 11-1ciw7 -f9w z m:aibi0 g/t.a7/, zjausb represents

  Curve C in Fig. 11-1 259twwc)a se/ncu .ak2 h vr5irepresents

  For a forced vibration, the amplitcn)hsua ren 649/bna;mvu1p /ude of vibration is found to depend on the

  In a wave, the maximum displacememn+qsv9n(.,m (jry omnt of points of the wave from equilibrium is called the wave'my(nrqn +o(m9mvj .s,s

  The distance between successive)txn --.3ezdwaz qjo36xrz u( crests on a wave is called the wave's

  The number of crests of a wave passing a point al i+z t,, nndw1 fj5mwms:z,2per unit time is called the wave'w z,l+:nta,5 dfnwsj 1i2 m,mzs

  For a wave, the frequenvojprr jr,vuo ) s.l23n o:g;-cy times the wavelength is the wave's

  The frequency of a wav/k0c,nj+en vauk0f0l9 pr yi:e increases. What happens to the distance between successive cj ck,pyl00+/9n e0: fuvrainkrests if the speed remains constant?

  A wave moves on a string with wavelength l and *x+97vxma1y1t oj nrjfrequency f. A second wave on the same string has wavelength 2l and travaroxvyj19 m*nxj +1t7els 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 tensioh8a 83u(dqt du0sx8:vk e9tbk n T. A standing wave is set up. Which of the kh9u8tx: av88tqu(3d bk0sd e following is true?

  A string of mass m and length L is unwlirp8qsv ol:+,jq(n *x1 kt4der 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 x+* i1lswt8(q :nkq,vp4ojlrmass of the string is increased to 2m, with no change in length?

  A string of mass m and length L is under te u:akq1hk6k -rnsion T. The speed 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 n6kkaqk - h:ru1o change in mass?

  A string of mass m and length L is under tension T. sun eosuih55c,o )(j,The speed of a wave in the string is v. What will be the speed of a wave in the string i)ooej5un,u,(is5shc f the tension is increased to 2T?

  In seismology, the S wave is a transverse wave. ;rba;lm sc1)g zxw6r esa)o:8nr2q 6.so4ljo As an S wave travels through the Earth, th)rwno)s6 :b8m4s ;x . 6jaollraro1 zeqc;s2g e relative motion between the S wave and the particles is

  In seismology, the P wave is a longitu n /wl ag-gay650()*avn nxu)8jxkxvky wh09adinal wave. As a P wave travels through the Earth, the relative motion between the P wave and t50-xa)k(kun*v vn8naxy gyaag/l 06h wwj 9x)he particles is

  The intensity of a wavep a8v 59 ) x/ym4y3m;1xrdwgfeyhco6s is

  A wave pulse traveling to the right along a thin cord reaches a; cu+)ez8yft8v6b( jpamn9m c discontinuity where the rope becomes thicker and+f6c e( 8a8bp)u9 ymzjcmv;nt heavier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each op ws r*j 9;ps1*wjh,gather on a string, one is traveling toward the right and the other toward the left. At the point that they occupy tw* g,pj1sjras9;p* whhe same region of space at the same time

  Two wave pulses pass each other on a string. The one travelin iw 1aepi1(7fcg toward the right has a7w1f pc ea(ii1 positive amplitude, 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 pusat*dw9 *zwi8j1)he/n2tpse0w -, eb8pd k as a string fixed at both ends, occurs when

  If one doubles the tension in a violin string, the fundamental frequency7as n ux(t6w1 yebo9p /vxk95z of that string wisv n5u9z bapx(yew1x6k /7to9ll increase by a factor of

  What is the spring constant of a spring that stretches 2z-7j fgixkl9:.00 cm when a mass of 0.600 kg is suspended from igl :ki-fzj97xt?

  A mass is attached to a spring of spring constant 6l,-y :)qg-ywyf2g zq9rtc 6krw2oi(b0 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 gq 2(2l z,r9b)y6fyw- ryc:ioktq -w gmass 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 constantk z6r kngaf,))y7*/wy h,6gbx hjr +wo 60 N/m along a horizontal, frictionless surface. The spring is initially stretched by a force of 5.0 N on the mass anh* rw+ orny 6 /fazgyk7jbg6 ,,)x)hwkd 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 spring of spring constant 60 N/m along a horizonta9x4 x 2bjo 9r/yk0)crvdrq6 nql, 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 oxy4xbv/j9drcr )qqnko 062 9 rscillating. What is the frequency of oscillation?

  A mass on a spring u7msn,-wf 1 vfnndergoes SHM. It goes through 10 complete oscillations in 5.0 s. Wmw7 f-1v nnfs,hat is the period?

  A mass vibrates back and forth from the free end of an ideal spring of sxw/di a4zfy55: a5c + qdorl-bpring constant 20 N/m with an amplitude ofd+rodz5w y4: 55ca-/flqiabx 0.30 m. What 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 horizonfw3wwr 4q8 (mxtal, frictionless surface. The object oscillates in simple harwfww(r8x4 3 qmmonic 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 withwcli.2-k)wel2:l ad h amplitude of 4 cm. The energy is 8.0 J at this time. i-lew:2daw lh2l k.) c The mass is cut 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 constant 20 N/m along e-d uh+9an/og a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s a+ng/od9euh a-t the equilibrium position. What is the amplitude of vibration?

  A 0.50-kg mass is attached to a spr59ot* icuz7ip ogr-6o so ,4pping 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. At what locatiopio g-oipzs ,*o97prt o5c46un are the kinetic energy and the potential energy the same?

  A 2.0-kg mass is attact2st 8m oel8c;icgk6il,xe 9 66 nah-nhed to the end of a horizontal spring of spring constant 5le8mgi98ox a, ks6 h tlt6c ce62;ni-n0 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 2.0-kg mass is attached to thqi/;yv9tg lro,w -7 fhe 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 mechan,f-h giy7rt;9q lo w/vical energy of this system?

  A mass vibrates back and forth from the free end of an ideal springe3+x 7x; qf.kgv o 6vmu5hu)qg of spring constant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kinetic energy of this vibrating kuo+.)mu35vq; v7e x q6fhx ggmass?

  The mass of a mass-and-springa/bfyzgax ,agnp .:3: system is displaced 10 cm from its equilibrium position and released. A frequency of 4.0 Hz is observed. What frequencyf: za/3n:,gpa a yg.xb 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 const01l /re fcd+vm-fm1tyant 10 N/m. The object is displaced b0c+1 mr/ y-v1el fmfdty
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 sprinq o5w 61w ys4t.ilgi mng:2k k(jp9xq1g of spring constant 10 N/m. The object is displaced w5:6kgij qnko1igl w(42yp9.1sqxmt 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 spring consavin vsyb42.z+p q 14g3yg:4nvp /afrtant 18 N/m, displaced slightly from its equilibrium position, and re vna+/n:4yv rp3 .2bgy14zgqas 4ivpf leased. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a freque5 47)j7xg yqx3ezjqrrncy of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What is the 4gx7r7e5xqq jr j )3zymaximum velocity attained by the mass?

  Two masses, A and B, are attached to different springs. Mass A vibrates with alo:9i tlcrq /-mplitude of 8.0 cm at a frequency of 10 Hz and mass B vibrates with amplitude of 5.0 cm at a frequency:til-lrq/9 oc 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. In equilib wf;j1md d od) jb*5mdwm(*c6e84zycnrium the mass stretches the spring 2.0 cm downward. Th 4be1;)* cm(jw5dmjf8mndz d6 c *wyode 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 spri vz;l;.e2w scwng. In equilibrium the mass stretches the spring 2.0 cm downward. zw.wl;ce2v; sThe mass is 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 equilibrium cf p-dgp wcs l**+745l )lvcxd.gy, nfthe mass stretches the spring 2.0 cm downward. The mass is then pulled an additifd + g)nf754 c*c yppl*cvgxl sl-,.wdonal distance of 1.0 cm down and released from rest. Write down its equation of motion.

  An object in simple harmonic motion obeys the follo:*kgf*tys 1s 3ffy;bawing position versus time equb:; 1 ytasy3f f*skfg*ation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following position versus time g )d-g9 tom1c40 gd9tu6kam2nj 1hgy bequath2619j4gu91cnb) ad0ygm dk tt-o mg gion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion x:3 xb*az yr cm+qytf2mg:692 g5yv bjobeys the following position versus time equatimymc2v6 z:*xbjx r 9agf+tyqg5 2:3 byon:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring execute20a k7feit- dv+fh,bga p3q- cs simple harmonic motion according to the equi0 geafb7, kp t+f-v2q hcd-3aation $y = 0.50 \; \sin (18\pi \times t)$ 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 forcerfuy zq.mnkx d,: u486 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. (That is, the spring is stunf4uxdrmk6 zy:q8, .retched 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.hcza6z7rn3l mcu 6c1. (a) What are its frequency and perioz c lurc.an16mc763z hd on Earth?

  A 3.00-kg pendulum is 28.84 m long. What is its peri+ev vij-yh7 ;jod on Earth?

  A pendulum has a period of 2.0 s on Earth. What is its xo ofa -lxwdyu 2+40;o)t7twglength?

  The pendulum of a grandfather clock is 1.0 m long. Wha*ikb 2q2plk)n-gaqz 9+o h- umt is its period on the Earth?*zbqogk na)m9ih2q+-l2- puk

  The pendulum of a grandfather clock is 1.0 m long. What is its perig m)04aai ek/ 1dftb f;vp;2xiod on the Moon where the acceleration due to gravityt) ad4;mkp1gfixi 2afe;b 0 /v is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attached to a massless qbp9aklvkmc .:b,e3* 6t0z xlstring. 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. W: 3xmk 96a0*t vcep. z,llbkqbhat 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 p g1b8*jzja5uso o -v:has initial angular displacement of 8.0e. It oscillates with a period of 3.00 o*jaz1:v8-s 5po gjbus.
(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. Th aqo3(*d8dw n pe2nkf2e frequency of the wave is 120 Hz. What is thnfnq(* kaeo dw 2p83d2e amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency of the 0xwf o(8)inrvk i* lm,wave is 120 w i*)xn l(rv,8k 0mfoiHz. What is the wavelength?

  Figure 11-2 is a "snapshb+8za ,7ptn)af8-wfd1f tc rlot" of a wave at a given time. The frequency of the wave is 120 Hz. What is the wavt, ac8 w rdf na1p7f+l-f8tz)be speed?

  What is the frequency * es3-j )vayriof a wave which has a period of 6.00 ms?

  What is the period of a wave witw*yd og ,7,m w0poob7lh a frequency of 1500 Hz?

  What is the wave speed if a wave has a frequencyfd.czv( e9/af of 12 Hz and a wavelength of 3.0 ma9efzd.f c/ v(?

  What is the velocity of a wave that has a wavelength of 3.0 m an4rpyw/e)m1cdd h rb-d3nn)2 id a frequency of 12rhry) md-1i cdw23p/d )4enbn Hz?

  What is the frequency of a 2.5 m wave traveling att ,8ti+hgln n87i*yim 1400 m/s?

  A piano string of linear mass density 0r7l/ m io1bvj2.oty 5a.0050 kg/m is under a tension of 1350 N. What is the wao/l.7jtr 1m5bv i o2yave speed?

  A string of linear density 6.0 g/m is under a tensiok yz.5am*9vzb3 + wfkmn of 180 N. What is the velocity of prokf 53y9 +zb*zmwkm.va pagation of transverse waves along the string?

A wave whose wavelength is 0.500 m is travelim(83ds/ :tb -gffrufzng down a 500 m long wire whose total mass mdgfbu8 f(/ st3-:fzris
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 a bpo(0fopsy79ie)x/yuh3 d. z 8azng62.0-m long string fixed at both ends is 200 m/szdhfs0)ox6 ypup a g(ne7o/. 89ibzy3. Which one of the following is not a resonant frequency of this string?

  If a guitar string has a fundamental frequency of 500 Hd7n g4n ,ao0 -x8oraraie7vr68x jjz 4z, which one of the following frequencies can set the string intoi 06aon8r,jv4 a8nra 4edzgj-x7 rx7o resonant vibration?

  A stretched string is observed to have four equal segments in bh8+xn9jxe sj4*0d eea standing wave driven at a frequency of 480 Hz. What driving frequency wde* 84jes jnxb+0 e9xhill set up a standing wave with five equal segments?

  A string, fixed at both ends, vibrates 2814s0puqpqglt l w-z at a frequency of 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency is needed if the standing wave pattern is to 0wqt g 41-lpl8upsz2q contain 4 loops?

  A string of linear density 1.5 g/m is under a tension of 20 N. What should it/,hwy-hub, tv s length be if iu,wvh t-yb /h,ts fundamental resonance frequency is 220 Hz?

  Find the first three harmonics of a 56gt .if-xjso5(1f( sc ymihpstring of linear mass density 2.00 g/m and length 0.600fx.iss(5 y1g5 cio6mt-hp j(f m when it is subjected to tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. When the string vibratr s4,pyiw e 5xb3etojzl-;d 2en:l1 ;xes at a frequency of 85 Hz, a standing wave with fil:3 elenx;we1bsz5 o-pd4jxit,;yr 2ve 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.