The time for one cycle of a periodic process is called th/sl*/syly cuq;e4ciw 3 )d ft:e

  For a periodic process, the number of 5ry9fcz v/0w c)t)zgl cycles per unit time is called the

  For vibrational motion, xnl0 md: t7tma7px :wdj0m-l9h 7z1 f 4r:noyqthe maximum displacement from the equilibrium point is called th do9p04axw q-0lt71d:z7lm:fmrny h xt7:n jme

  A mass on a spring undergoes SHM. W x9r 6r;1-j *f.a1xqsil lejcwhen the mass is at its maximum displacement from equilibrium, its instanfx j c;1j* er.sla-iw9xqr16 ltaneous velocity

  A mass on a spring underm rqx3e-bz,9x1 xbnl 2goes SHM. When the mass passes through the equilibrium position, its im2be-bq9z3xx xnr ,1lnstantaneous velocity

  A mass on a spring undergoes SHM. When the mass is at hekh- az;*jf( t g.1lumaximum displacement from equilibrium, its instantaneous accelera(*- .z hekjlgut1fa;htion

  A mass is attached to a vertical spring and bobs up and down bet :ocp6c* xm0uj9vu(qtween points A and B. Where is the mass located when itsv:xc* c6 0u m(tjupqo9 kinetic energy is a minimum?

  A mass is attached to a vvz;dj;2f i0j mertical spring and bobs up and down between points A and B. Where is the mass located when its jf; 0d2mv;izjkinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs ftsot2bmn((; jhn0.uw 3 jv+c g83tn rup and down between points A and B. Where is the mass located when its potential energy is a minim3s.tjt v+t 3o; n(cwu8(0 rj2 ngfhbnmum?

  A mass is attached to a vertical spring and bobs up and down betwee(m /f kxgrr le5.iy-.dob l8e6n points A and B. Where is the mass located when its potential energy is ak5gl obl/x- ier8ym ef r.d(.6 maximum?

  Doubling only the amplitude of a vibrating mass-and-spring system produces n*q5x-b:u7rxx nkqtq 5q89 hjwhat effect b5qn:5tn7x9*8-juxhxk qqr q on the system's mechanical energy?

  Doubling only the mass of a vibrdwo9,muee5 .j:t5aw i07wzq hating mass-and-spring system produces what effect on the systeaz 057ih e9j.otued ,q:www5 mm's mechanical energy?

  Doubling only the spring constant of a vibrating mass-and-spring system produces/.:*k q9zuiia q t mta*xhfx+:(y.uha what effect on the s*:.iz+ath uum9.x:(a tx/iyk fa* hqqystem's mechanical energy?

  A mass oscillates on the d7rknoku+k)bca12 p.c g - yufu;g9(mend of a spring, both on Earth and on the Moon. Where is the period the g om7yfrc;-n agu)1dk9 buu+(kc.kg 2 preatest?

  Increasing the spring constant k of a mass-and-spring system em0va6dcd(n;.u+nmv;*lasm- w tw .ccauses what kind of change in the resonant frequency of the system? (Assume no change insncmlw mau cd;+;6tv. wd e(m.-na*0 v the system's mass m.)

  Increasing the mass M of a mass-and-spring system causq pk:b2b90hosh6gf9mes what kind of change in the resonant frequency om6obh0 ghbfs9kp: q92f the system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-o ,3 ,rzqvzpl1z/st -ispring system causes what kind of change in the resonant frequency of the system? (Assume no other changes in tzi zqvs1lo/t,zrp ,-3 he 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 stri4,; 2 nf7yqcdgb b*zetng of length L. For this system, when undergdngqzfct4*7 ,b;2yb e oing small oscillations

  When the mass of a simple pendulum is tripled, thx0 t +9wc;eue9puh.r/n5g 44e ouvmdne time required for one complete vibrg / nedwut5huex;p4n 0erc +m4uo9.9vation

  Both pendulum A and B are 3.0 m long. The peo 0xfoys66ruznd:gk3g1a9h8 riod of A is T. Pendulum A is twice as k1a:60o dx98g 3zh6uyns frogheavy as pendulum B. What is the period of B?

  When the length of a simple pendulum is tripled, the time for one com.yu-y bawrs(,plete vibration incy yrw.bas( -u,reases by a factor of

  What happens to a simple pendulum's frequency if both itskn;8u* g mbouj8xfs cx.k -)(( ydaac; length and mass are increafkcg;x(b-a .j y cnu8;uodasm 8)* (kxsed?

  Simple pendulum A swings back and forth at twice/c fdxhs1 b* r7mr5+bh the frequency of simple pendulum B. Which statement1fhbxd / bm s*7rcrh5+ is correct?

  If you take a given pend db6x:o vw0 uv.x,ha9aulum to the Moon, where the acceleration of gravity is less awo:b, du0x9 ah v6.xvthan on Earth, the resonant frequency of the pendulum will

  Curve A in Fig. 11-1 aq:6u e.jga i)x2ar8v represents

  Curve B in Fig. 11-1 reprv)w a4xrr)e *a4 qaty3esents

  Curve C in Fig. 11-1 reprygli)w d yrpeb -,: 6pmniv00/esents

  For a forced vibration, the amplitp)8 s2peu5y.bcjzn; u8 l1rjdude of vibration is found to depend on the

  In a wave, the maximum displacement of points of thcu074o(s ulzz;hbv)vr nl 0t3e wave from equilibrium is callu)0z s3oz0rh vtcnu blv;(l4 7ed the wave's

  The distance between successive crests on a wave is called the wave 5v nkhuw284gt's

  The number of crests1j2l7xo h y8tc of a wave passing a point per unit time is called the wave'sl1hycx2j 8t7o

  For a wave, the frequencyh5nq z1 -*2l*clf,rmer e7 kiu times the wavelength is the wave's

  The frequency of a wave increases. What happe 90 v*whd*zoy; ra2 jm.ryjol)ns to the distance between successive crests ifhy*9md. ovo*z0)jr j2 rwy;la the speed remains constant?

  A wave moves on a string with wavel;/0jrkw, kgvl8 yjtb7ength l and frequency f. A second wave on the same string ha 7gvl /tr j;kbwy8kj0,s wavelength 2l and travels with the same velocity. What is the frequency of the second wave?

  Consider a traveling wave on a string of l ljm,pt5wf1d 6dg.l*pength L, mass M, and tension T. A standing wave is set up. Whi1dw pdlf5.,t*gpl 6j mch of the following is true?

  A string of mass m and length L is under tension T. The speed of a wave i0hg 1 qzbedup+(t 8*isn the string is v. What will be the speed of a wave in the string if the mass of thu1is+(dt eb8* qp 0zghe string is increased to 2m, with no change in length?

  A string of mass m anhm;4pf ;fr h58;afb )e ttd- wgh.2ng ndq2q)nd length L is under tension T. The speed of a wave in the string is v. What will be the speed of a wt )gt;h dbwf5angpnd ;q8ef h4m2-2n) h.rq;fave 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 in the y bah532hy ) 7pkhiz01zqzi-w string is v. What will be the speed of a wave in the string if thep hqy1w ki30- 2hzah57iz )zyb tension is increased to 2T?

  In seismology, the S wave is a transverse wave. As an S wave travels 4 4wgcaut8lz1through the Earth, the relative motion between thecl z4 481tauwg S wave and the particles is

  In seismology, the P wave is a longi4r, 0szkg ssl /3ogi/u:rz:egtudinal wave. As a P wave travels through the Earth, the relative motion between the P wave kg,3r s/ig/s l:sge4z z :o0ruand the particles is

  The intensity of a wavhtw/39t.me51,tz q emgxs j *qe is

  A wave pulse traveling to the xody2w.x754z lhy6ud c v-4uzright along a thin cord reaches a discontinuity where the rope 6zw .u5odyhu 2-x vydlzc74x4 becomes thicker and heavier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal posi8k z +8hthzgp8tive amplitudes pass each other on a string, one is traveling toward the right and the other toward the k88+ gzp 8zhthleft. At the point that they occupy the same region of space at the same time

  Two wave pulses pass each other on a stro,2. yokqklhltce y . s:r,1w6n7p)xring. The one traveling toward the right has a positive amplitude, while the one traveling toward the left has an equal amplitude in the negati.kyo o6rp7 ,kcl1 we,2 :qsythl)nx.rve direction. At the point that they occupy the same region of space at the same time

  Resonance in a system, such as a str5i y 3ssiwqz2im* e48fing fixed at both ends, occurs when

  If one doubles the tensi0ili: g)ua4xh gk w/s0on in a violin string, the fundamental frequency of that string will increase by a factor ouhigw) k00x/4asi :lg f

  What is the spring constanxx+ e caq.zy8;t of a spring that stretches 2.00 cm when a mass of 0.600 kc8ax.x+ ;eyqz g is suspended from it?

  A mass is attached to a spring of -q5s/ckn(, saaxraq i).qwt, 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 anda 5n,-wqqq,/ .) ax itrsakcs( 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 a spring of spring constant 60 N/m alonk : :hnn.:fjwyahsow z pg8,;i3dh+7tg a horizontal, frictionless surface. The spring is ini:od nwg738.h:ha f,i h: +ns;yztkjp wtially 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 period of oscillation?

  A mass is attached to a spring of spring co p k(/qs,:oa/; q)ibyq,duonknstant 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 oscillating. What is the frequency of oscillapoq/ ak,dioy),b/:;sq k nq (ution?

  A mass on a spring undfvu:bfq nio 1 -3u0r9 j(mstz0*f(cjwergoes SHM. It goes through 10 complete oscillations in 5.0 s. What is thec(n0ffw(s9mvqiu tz0fju 1o- 3b*jr: period?

  A mass vibrates back and forth from the free end of an ideal spring of spring c3 0ny- u-m cvozia3 (dl8hbab6onstant 20 N y-- m 8onva3bdabli36uch0(z/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 position?

  A 0.50-kg mass is attached to a spri*7 xavulekx/a8 4jrjf;g r9 3eng of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic 9xkra4 rf;l a g7/xvu ej8*e3jmotion 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 amplitudg1 usycdjz1,/e 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 wit,/gus 1y1dzc jh amplitude 4.0 cm. What is the energy of the system now?

  A 0.50-kg mass is attached to a yz/mx2h nq *(xdd r/d0spring 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/d/xdy0m2rz *x q(dnh at the equilibrium position. What is the amplitude of vibration?

  A 0.50-kg mass is attach if(c(bwe1cw ;ed to a spring of spring constant 20 N/m along a horizontal,fiwc1be;(w( c 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 the same?

  A 2.0-kg mass is attached to the end of a horizontal spring of s*xwp+ ey1gu i*pring constant 50 N/m and set into simple harmonic motion with an*py+xw*g ui e1 amplitude of 0.10 m. What is the total mechanical energy of this system?

  A 2.0-kg mass is attachd+wr3 ergc -):s3nc; kgu:ha qed to the end of a horizontal spring of spring constant 50 N/m and set into simple harmonic motion with an amplitude k3h) c s-n3:d a+:qcrggew u;rof 0.10 m. What is the total mechanical energy of this system?

  A mass vibrates back and forth fro:xz: b2,zjngze r)3q jm the free end of an ideal spring of spring const ebz3g:2,jnjzzrxq: )ant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spri z4o6:x kftfm3ng system is displaced 10 cm from its equilibrium position and released. A frequency of 4.0 Hz is observed. What frequency would be observed if the mass had been displaced only 5.3x 4zff6tmk :o0 cm and then released?

  A 4.0-kg object is attached to a spri- o8( ohy)nh g)uqkk*hng of spring constant 10 N/m. The object is displacengoy )h* q8- u()kohhkd 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 s xl,+oz) )bvcrpring constant 10 N/m. The object is displaced bl)x b)r o+v,zcy
5.1 cm from the equilibrium position and let go. What is the frequency of vibration?

  A 2.0-kg mass is hungf7un.9 l x30m)hh sjkg from a spring of spring constant 18 N/m, displaced slightly from its equilibrium position, and released. Wh3lmhxk huj 0f)7 nsg9.at is the frequency of its vibration?

  A mass is attached to a spring. It oscilfr th:ennrs*6o:x3s l*f g+ u-lates at a frequency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium*nlhs*srno6u f trg+:3-:xf e and released. What is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to different16hhl1plk4 rdej6j j * springs. Mass A vibrates with amplituph 6kl *1 4hdjj1l6ejrde 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 B?

  A 0.30-kg mass is suspended on a spring. In equilibrium th9-k6l6cg:u)p ginqod , l8uoze 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. Ca c9)l uqnu8:6gzgi ,kl d-op6olculate the period of oscillation.

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass stretcgv g0hjy x523hhes the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and released from rest. 2 g350hyvxh gj Calculate the total energy of the system.

  A 0.30-kg mass is suspended on a spring. In hu)wa9x4/ 8 swgh1- ponpzmx)equilibrium the mass stretches the spring 2.0 cm downward. Thnma- xh8wg p4o9 )xhu)psw/1 ze 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 harmonic motion obeys the following position ve th- 9qw86jcggrsus time equatioq-w8g9 6tc hjgn:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys th qk m;p4zmxd9. ,n-.w 0lznsmhe following position versus time equation:zk,9ldnm 0np4mqmx-. zsh; . w
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obe sde gma crw(m4df b4/l00q .k3m-w0hp1z4xei ys the following position versus time equcszam 4hfxm(d4-4rdbw00q l3e 1p mek/. giw 0ation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to th (9mc ti,nm4bje free end of a spring executes simple harmonic motion according to the equation jbcmt9(4 im, n$y = 0.50 \; \sin (18\pi \times t)$ 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 for 8sqpal- eacvpfd-+: xxq,wb. +w/ 1fxce constant of 20.0 N/m oscillates on a horizontal, frictionless trefxb. /p:,fawdwqsl p -a c-x++x1vq 8ack. At t= 0, 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) Whk*n/+*ah nyjw gy21nmat are its frequency and period on Eartn y+/n2wh1*kma* y gnjh?

  A 3.00-kg pendulum is 28.84 m long. What is it sobatv2dr aq- uh/a. 0k2;cg(( .k 2mxo4szwjs period on Earth?

  A pendulum has a per1)jxwn9d, lbv iod of 2.0 s on Earth. What is its length?

  The pendulum of a grandfather clock is 1.0 m5kh c/es6qm-dpf u32 z long. What is its period on the Earth?/hk eu 3dpc5qsz2m 6-f

  The pendulum of a grandfather clock is 1.0 m long. What is its su 1qt8iya jc)3u9ks( period on the Moon where the c) (yuq8tksau3 9j1siacceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.2 ,3zbalyk61gf 5-kg spherical mass attached to a massless string. Whek z,y61fglb a3n 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?

A simple pendulum consisting of a 20-g mass has imv20(u ;d;rhd lh/oy ..yzim nnitial angular displacement of 8.0e. It oscillates with a period of 3.00 iy(y.m;2l0rod.z / mu n; dvhhs.
(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 giv yd5du/i/(p ipen time. The frequency of the wave is 120 Hz. What is p/ (ddu/5iyip the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given time. Thaac8 pz.r ow8e 8x6 bfub0(8lpe frequency of the wave is 120 Hz. What is the wavelengtcr 8p8e0oaaf(z8w.8 pb xu6lb h?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency of k/t / c+iow*p c; omcma7pilj9a 8q1-ithe wave is 120 Hz. What is the wave coqj/ iap1 m;-+at7l9*wkimp co/c i8speed?

  What is the frequency of a wave which has a pezqbc7owfwvdy m.8 2e,1j5+b c riod of 6.00 ms?

  What is the period of a wave with a frequency of 1500/(;ort d3l jtfz+eq r/ Hz?

  What is the wave speed if a wave/5h n ykbz ncnb-a,9;w6c;q)fbd /cduubk5/ k has a frequency of 12 Hz and a wavelength of 3.0 m?bd zb/c /ckf/d5k9 bnb;);uq,-h6awk cnnuy5

  What is the velocity of a wave /+x:fgx0ytmu s.dc- z that has a wavelength of 3.0 m and a frequency of 12 Hx+/cdx g 0-f tus.:mzyz?

  What is the frequency of a 2..ku 7ne)pn-)y42p t nuvinh .f5 m wave traveling at 1400 m/s?

  A piano string of line3imk9nc w ,k pcyd/*efvj-7 pi38pt q:ar mass density 0.0050 kg/m is under a tension of 1350 N. What is the wavej pe tm7 3ip98w fp 3knyciv,k:-cdq/* speed?

  A string of linear density 6.0 g/m is under a tension of 180 N. What is21pnuq(csdl 4y fk ,,q the velocity of propagation of transverse w,2c1,ud(nkq qpsfy l4aves along the string?

A wave whose wavelength ismq,yf kq o6w4hf;i84x 0.500 m is traveling down a 500 m long wire whose total kq4o f8,q mwiy6f4; hxmass 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 kotg dqje je/0; rbz 7w9y-:.xa 2.0-m long string fixed at bo/- otgj9. xw:eq7;dykzr0e jbth ends is 200 m/s. Which one of the following is not a resonant frequency of this string?

  If a guitar string has a g*5ggf1c - kaqm:-qs cfundamental frequency of 500 Hz, which one of the following frequencies can set the string into resonancq:*1gcfs--k gmq g5a t vibration?

  A stretched string is observed to have four equal segments in a sxnf2 *(mh*xm i8f /g2jis*vvytanding wave driven at a frequency of 480 Hz. What driving frequency will s/mymxi*nf if2v8vgx sj*2h *(et up a standing wave with five equal segments?

  A string, fixed at both ends, v.,wz/k q rl35 yiaep6njw08i zibrates at a frequency of 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency is needed if the standing wave patyl/q06rj3 w.w,i nz kp 5ze8aitern is to contain 4 loops?

  A string of linear density 1.5 g/m is underfx/ujnz 2g* e3/ga lb:-ogf z: a tension of 20 N. What should its length be if its fundamental resonance frequency isnaz/3: fzeo- x g:*u bjg/flg2 220 Hz?

  Find the first three harmonics of a string of linear mass density 2.t*cwutn6vmj3s.r; q * 00 g/m and length 0.600 m when it is subjected to tension of 5 q3wv rm;ts.ju*6 ntc*0.0 N.

A string of length 2.5 m is fixed at both ends. When the string v1zq34 cutnkg+ ibrates at a freqnqk cz+t3 ug41uency 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.