The time for one cycle o/cdu5 d(e 9cua,kbc (nf a periodic process is called the

  For a periodic process, the number of cycles per unit xveb5k 1.u45ji (crfqtime is called the

  For vibrational motiqnxs(:*zl 1m son, the maximum displacement from the equilibrium point is called:x*z( l n1qsms the

  A mass on a spring undergoes SHM. When the mass is at its maximum displz:qo1- yccft2(v y;-eq kc *kuacement from equilibrium, its instantaneous velococe;fzk1*-q:2 k-y yu(qtcc v ity

  A mass on a spring undergoes SHM. When the mass passes througdd)s;0o7hv n3in as6 th the equilibrium position, its instantaneous veloc s)7d36 natnhio dsv0;ity

  A mass on a spring undergoes SHM. When the mass is at maximum fke ,c j;jw1syud5i04displacement from equilibrium, it1w5j0 ;ke isdu,c4f jys instantaneous acceleration

  A mass is attached to a vertical spring and bobs up and down between points7gejtv*/3z)gqgfu,a ajws7 ) A and B. Where is the mass located when qfwuegs/,ajz7)) tgga7*vj 3 its kinetic energy is a minimum?

  A mass is attached to av (j/crf o2qzxc5 1)b63n ffdq vertical spring and bobs up and down between points A and B. Where is the mass located when its kinojcvbc n)xf(f1 f/ q2qr365 zdetic energy is a maximum?

  A mass is attached to a vertical springa;a7n4 chel)nqq /t7v*oqi ,l and bobs up and down between points A and B. Where is the hai7cn 4 elo);q*aqnq, vl7/tmass located when its potential energy is a minimum?

  A mass is attached to a vertical spring and bobs up af-idi1, xd4l) cy8 ifcoz0 v8mnd down between points A and B. Where is the mass located when its potential ener xc8,)ifoyd04 8c -idi1mfvlzgy is a maximum?

  Doubling only the amplitude of a visah9 so3)-5gn )xqj yc(eb6l9oar2l hbrating mass-and-spring system produces what ef9 l)haj5srlgho3 ocy 2e)(nb-qx6 9asfect on the system's mechanical energy?

  Doubling only the mass of a vibrating mavs9 eyb1kkd7- ss-and-spring system produces what effect on the system's mechankbe1d 7ky-v9sical energy?

  Doubling only the spring constant of a vib (n.iip1-+hh:ak ce g7xsh +mzrating mass-and-spring system produces what effect +( .hiagepcm1hsnx+k7 hz-i:on the system's mechanical energy?

  A mass oscillates on thqzrp2z,rs x8 -p -nq:d- .ifcle end of a spring, both on Earth and on the Moon. Where is tz-z. :ir--xnr82 qcdpq p l,fshe period the greatest?

  Increasing the spring constant k orou /r3g f), jd,b*eu90ubxey f 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 m9rjuyd3)b g *u,bofe r/,0xe u.)

  Increasing the mass M of a mass-and-spring system causes w va 2h:jbx1a2bhat kind of change in the resonant frequency of the system? (Assume no change in the aav2hb 2xb1:j system's spring constant k.)

  Increasing the amplitude of a mass-and-springx jx *n:9lvb b/7ct/jj system causes what kind of change in the resonant frequency of the system? (Assume no other changes in the system.jbx t:vc/n/*jxjb7 9l)

  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 weightl;u9dxqjvi8 +sess string of length L. For this system, diq9u8 +xjvs; when undergoing small oscillations

  When the mass of a simpqgp3/se. tr 0re)6jxele pendulum is tripled, the time required for one complet)eq 0es 6 r.rx/pj3gtee vibration

  Both pendulum A and B are 3.0 m long. The period of A is T. Pendule3:,t/lb (* fiwr;bpg .0lrutzfra9rum A is twice as heavy as pendulum B. What is the periodr0zi* u3eg rff.,r9rptb:wltab; /l( of B?

  When the length of a simple pendulum is tripled, the time for75 wx f1ch rhyu 4wtv8f/wi+2i one complete vibration increases by a facwvuxy+hi wf2478t/hri15 w f ctor of

  What happens to a simple pendulum's frequency if both its length andtff9 pno64 rz9 mass are increase zor4nf996 fptd?

  Simple pendulum A swings back and forth at twice the frequency o kl0oh xw3 hzf+t c/dvc+e2j73f simple pendulum B. Which statement is correctto2v+3xej3kf c7h/0 h+w zdcl?

  If you take a given pendulum to the Moon, where the acx2l(5/h r nei7 hs(dmsceleration of gravity is lessehs (2s/( 5ihdml7 rxn than on Earth, the resonant frequency of the pendulum will

  Curve A in Fig. 11-1 r5 v)a0wd nxdiee(m.(wepresents

  Curve B in Fig. 11-1 represkhe)o. -awo 5fents

  Curve C in Fig. 11-1s02 le d xx(yh.4j+nld represents

  For a forced vibration, the amplitude of vibration is found tyak5ask2) 5c z6ub,zfyb h2y+o depend on the

  In a wave, the maximum displacement of points of the wave from e4lb cqlg ( qm/mg2q5rid71a8wquilibrium is called the qd/ bm57(iqwgq1lmc24a gr8lwave's

  The distance between successive crests 0jbgnuu8 ) bs/fxga8w3rod, 6on a wave is called the wave's

  The number of crests of a wave passing a point per unit time is call5wfgt d/8jv 4t -o-dspd/( avted the wave's/ 4 dt gd5-d8 t(aso-v/wtjvpf

  For a wave, the frequency timmnsve;9c1o :uc1lc,v p 3k w3zes the wavelength is the wave's

  The frequency of a wave increases. What happens to the distanl;a-syy a azo3hwe5 6(ce between successive crests if the s;aa6 yhozs 5lew3 (-yapeed remains constant?

  A wave moves on a string with wavelength l and frequ06djtlb,m.2 ,cg7bu e5m kly kency f. A second wave on the same string has wavelength 2l and trajt2ye7mlb 05,lc6kgkdub,. mvels 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 tension T. A sta.m 2dmh.h 7zycn- i8 0w0nxfk(t x4jeh0; kxkmnding wave is set up. Which of the following is trucmk. 0i0tmn 0khhmd hyjwk2(8xn.f7xxe- ;z4 e?

  A string of mass m and length L is under tension T. Thwc45fmebe 8 ,aeo8o( qe speed of a wave in the string is v. What will 8 b meewo5e,8(cao4fq be 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 tensp*7wvg- slo*me* a bhr9(m)x mion T. The speed of a wave in the string is v. What will be the speed of a wave in the s *swmam opme7bh(l) vrx -**g9tring 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 pfq8 fa6cx+:z1 15:g byxsemg in the string is v. What will be the speed o 6yq18fgsaem5 gzxp+: cfx1b:f a wave in the string if the tension is increased to 2T?

  In seismology, the S wave ios4g4wozu:)cden+p m9:t ubn b6r).s jb -gr 3s a transverse wave. As an S wave travels through the Earth, the relative motion between the S wac:gz4 )boj9uwt dr) p4g nmro s3ub6-s+:.eb nve and the particles is

  In seismology, the P wave is a longitudinal wave. As a P ,e 5g-gws (gm5wluin4wave travels through the Earth, the relative motion betwee,isu(4w -gg5mgewnl 5n the P wave and the particles is

  The intensity of a wav-a i8:ofbv n(ke is

  A wave pulse traveling to the right along a thin cord reaches a discontinuit80 c9 d5i4r+i fptrzbdy where the rope becomes thicker and heavier. What is the orientation of the re8c5r490fr dit pzb +diflected and transmitted pulses?

  Two wave pulses with equal positive o04r(fzyccu, amplitudes 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 the same ,4cfz0ro(y uctime

  Two wave pulses pass each other on a string. The one traveling toward )qoc3 :ad5 jed aq1m.*vf (n )a*hqyeuthe 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 the same region of space at tv.mjo* dy n)) q qfh1(uq:ce3 *5daeaahe same time

  Resonance in a system, such as a string fixed /zudhl g:hog, suq*/)g6yh- mo*lx+o at both ends, occurs when

  If one doubles the tension in a violin string, the fundamental q9buicj-75i os mk.6b frequency of that string wil7so-qiu9. 6kj bibmc5l increase by a factor of

  What is the spring constant ouz 8 f43g/ydclf a spring that stretches 2.00 cm when a mass of 0.600 kg is suspended from i 3lyzdg8 c/uf4t?

  A mass is attached to a spring of spring constant 60 N/m along a horizont:wy ddx 3 iavhm1kh1(9al, frictionless surface. The spring is initially stretched by a fy wxhv1d:hki(m9 31a dorce 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 a spring of spring constant yryyvb/toq0n19n+:qm 6fp8y60 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 toomy01 ny:y/n tyqbf86v 9qr p+ go back to its equilibrium position when it is oscillating. What is the period of oscillation?

  A mass is attached to ar9 l(r-l9ph eg spring of spring constant 60 N/m along a horizontal, frictionless surface. The spring is initiallrerp- l9l(g h9y 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 complete oscillations in k5a*r1dutejp(q-d f.pd +v2p 5.0 s. What is-tv k1p25e.fr(puqpd+jad* d the period?

  A mass vibrates back and forth from the free end of an ideal spring of spring cosf s71w bl.fqv./herq1g; ;c: b bcpy:nstant 20 N/m with an amplitude of 0.30 m. What is the kinetic energy of this vibrati.:; ;f1vel/ qsb1 b:g cbq.yfcrpsh7wng mass when it is 0.30 m from its equilibrium position?

  A 0.50-kg mass is attached to w ub;;1s)/rs0e59njxhyw4re b afc 8sa spring of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and hasa;cr n;rbyswe58 1h) w/9su 4eb j0sfx a speed of 1.5 m/s at the equilibrium position. What is the total energy of the system?

  A mass undergoes SHM with amplitude of 4 cm. The energy is 8.0 J at this times,.bqo e) e8hgis3magawd /-2. The mass is cut in halfom3s /eiwg gq.aa2sh- 8,)bde , 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 2 y1,nz2 e m6jtjkdzrw+1sh2f/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. What +enhm/jdjrf,wtsy2z61z2k1 is the amplitude of vibration?

  A 0.50-kg mass is attached to a spewe6g+ )-yfrb 70icv,n6b uhuring of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speedeunf+6 ,g6 0biu)e yc -vwh7br 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 spring constant lhv. d:.bdjr- 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the total rhdv.-db. jl: mechanical energy of this system?

  A 2.0-kg mass is attached ton7egk82*w uo (+rly/chv(m u m the end of a horizontal spring of spring constant 50 N/m and set into okeg/8m hm* v c(+wu2ly7(nursimple harmonic motion with an amplitude of 0.10 m. What is the total mechanical energy of this system?

  A mass vibrates back and forth from the free end of an ideal spc63 qhka(muv1 ring of spring constant 20.0 N/m wu(36vc1mqkh aith an amplitude of 0.250 m. What is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-n rv,0z.*:n 3 grjizndspring 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 5.0 cm anrnjzgn.*dr:v iz,3n 0d then released?

  A 4.0-kg object is attached to a spring x+bx7 -g4bhrdp/j xscb(y *e.of spring constant 10 N/m. The object is displacedsx*y(xdjb 4g-bx ecbh /+rp.7 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 spring constant 10 N/m. Thm9tv.p77 ;ajwu(nth dqwv.d* e object is displaced bu9nv*hawdvj . ;ptm t.7q 7(dwy
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 zysf64ho5;hnsp+/b l; 7 rz dpspring of spring constant 18 N/m, displaced slightly from its equpzzbsp4+/hnl7;hs d rfo5y6;ilibrium position, and released. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequency of 1.2u enjuyf 3(9sqm:h 19 ws81;btnz8 ,hk0 jaygq7 Hz when displaced a distance of 2.0 cm from equilibrium and released. What is the maximum velocity attzs8n;,0yk1 b h1 efus(8:3jja9ymqt q nw9hugained by the mass?

  Two masses, A and B, are attached to differeuwhuo *-o10/mi exn,w 3ym3 obnt springs. Mass A 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 frequencw3yonm,-h oo*e3i1xmuw bu0 /y of 16 Hz. How does the maximum speed of A compare to the maximum speed of B?

  A 0.30-kg mass is suspendedz(.u/ irlo1zv 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 rest. Calculate ther1zl uo(/iz v. period of oscillation.

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass str)q+52fob mn ds4j 9rbmetches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and releasemr+9nobm sf4q2j 5d)bd from rest. Calculate the total energy of the system.

  A 0.30-kg mass is suspended on a spring. In equilibriumdv8 c /86l5j2 :ivq2un wihfgj the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down 6 gjhuvfcwl jqdi2/:n5288iv and released from rest. Write down its equation of motion.

  An object in simple harmonic motion obeys the following v33xt vhztnxh v yc2,k+v2j4: position versus time equatikn z:jvc32h v+ 3vxt2xth4v y,on:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following position versus tim+adzl(ia )9 3gyo *+ xhd;usywe equati3;(y9go waddi)zy*hlx as++u on:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following position versus time ibqzgv*g o/6 )zxi.s9 equa.zsq/ogb iv ig)x6z*9tion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple harmonic m6 zbe+eh4lp/ motion according to the equation/e6 pe4mb+hz l $y = 0.50 \; \sin (18\pi \times t)$ 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 ozm(4v b55pb ;xxjob 7jhwp bi 0u8k33oscillates on a horizontal, frictionless track. At t= 0, the mass is released from rest at x= 10.0 cm. (That is, thbvbj w7h3 u5mkipzb5j(x04o pb;8 xo3e 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) hkj ,mha .wq,.h nf,r+6r+lvgWhat are its frequency and period on Ea6lrfh+. mv, h.qwhgk,njra +, rth?

  A 3.00-kg pendulum is 28.84 m longricn7fzhm roxks(60a:4).x hzdpw66 . What is its period on Earth?

  A pendulum has a period of 2.0 s on Earth. What is it0 qc2to7 xmy- omu7yiaf1rt;4 s length?

  The pendulum of a grandfather cl2u-7 hf* nvcnuock is 1.0 m long. What is its period on the Earnvuu-f* h7c n2th?

  The pendulum of a grandfather clock is 1.0 m long. What is its period on t k:n.ax;lx a)/,ldod)n )cd pdhe Moon where the acceler ) ko:d) )d./l xda;xnlncd,apation due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attachexdh j0 cgg2.df-1znb;d to a massless string. 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. What frequency would have resulted if a 0.50-kg mass (same diameter sphere) haz2dc ndg1ghj0;. bx-fd been attached to the string instead?

A simple pendulum cosafzb 2yyf9m+- ; h dib0hvq80nsisting of a 20-g mass has initial angular displacement of 8.0e. I;f2hd b+a-zysvy08h9m iqf0b t 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 tug8bv* 1 +yo, mvo/scgiven time. The frequency of the wave is 120 yt*/v bogsu8+m,v c1oHz. What is the amplitude?

  Figure 11-2 is a "snapshyji5 h 2m.w6m;:e* wwew7cfhlot" of a wave at a given time. The frequency of the wave is 120 jeiwhw6m2h :;ymf .cwe7 5l*w Hz. What is the wavelength?

  Figure 11-2 is a "snapshot" of ast/wfe h gfr9hsca/a:zx2/h:7k *)zr wave at a given time. The frequency of the wave is 120 Hz. What is the wave spe:ah9)hthgra/*/xcz skrzf:2fs/ w 7e ed?

  What is the frequency of a wave which has a pevdv-z yk/q;: u)i a(+jl xtr(hriod of 6.00 ms?

  What is the period of a wave with a frequency of vkd) k*a6 yqv21500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz and a wavelen0rpp3i5 .-dx0.q;kskvy evj0 nf t(pcgth of 3.sn5kq0 pek 0f .3yvi; -( v0pc.tdxpjr0 m?

  What is the velocity of a wave that has a wavelength of 3.0 n 42mp:*zht idgj:(e-cx8yafm and a frequency of ipgn-4 x8j:adyhmt *:(cf2z e12 Hz?

  What is the frequency of a 2.50 qf ;s;a.+uv q, zh,rd;zrhqk m wave traveling at 1400 m/s?

  A piano string of lish:n*nf sk09 knear mass density 0.0050 kg/m is under a tension of 1350 N. W9*nsn0 kk: hfshat is the wave speed?

  A string of linear density 6.0 g/m gm).g st4qk vw asc64/is under a tension of 180 N. What is the velocity 4/wa tssqk.)4c 6gvmgof propagation of transverse waves along the string?

A wave whose wavelength is 0.500 m i; t4j6iyioq xu:a3ruzmel:job */2 /i s traveling down a 500 m long wire whose total mass istejj; 36xo4u:qaruibo/:iimzy2 /* l
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 tra . u8a y19:xsrrc bvuh4rlii:0.abe7f nsverse wave on a 2.0-m long string fixed at both ends is 200 m/s. Which one of thexci rv0r.byh8 bla:4f: u1a9usie r7. following is not a resonant frequency of this string?

  If a guitar string has a funr9hgv*n-st53y :tskidamental frequency of 500 Hz, which one of the following frequencies can set the striv : 9 yhk5ts3*ngst-irng into resonant vibration?

  A stretched string is observed to have four equal segments in a standing wzh8cc 4cgk d5zzb5 -:aave driven at a frequecb gz8c5ch k5-d :4zzancy of 480 Hz. What driving frequency will set up a standing wave with five equal segments?

  A string, fixed at both ends, vibrates at a frequency of 12 Hz with a standinghqr3 jp3qy9r5aa;.gd transverse wave pattern containing 3 loops. What frequency is needed y9;5qjh a3ar r.pgd3q if the standing wave pattern is to contain 4 loops?

  A string of linear density 1.5 g/m is under a tensimd l2 on-d q;;o2zl(eson of 20 N. What should its length be if its fundamental resona2oo( eqdld 2s;lm;n-z nce frequency is 220 Hz?

  Find the first three harmonics of a string of linear mass lv99n,gt klqjzk;/ ,b density 2.00 g/m and length 0.600 m when it is su,lb l;k, 99z vntgqj/kbjected to tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. When the string vibratesc19 2e.ze m boqmcd0mfdr+ 1k. at a frequency of 85 Hz, a c. cme 1dfrd+92kq.eobz0mm1standing 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.