The time for one cycle of a periphlcra, i(0s)3q)mrkodic process is called the

  For a periodic process, the number of cyc8i vx*cw,c1hfeia67o les per unit time is called the

  For vibrational motion, the maximum displacement from tho*v 104 bdh k/hmuqq4se equilibrium point is called thos4*hdmu kb04q /1vq he

  A mass on a spring undergoes SHM. When the mass is if5):; u(rps*cfg s6noxcrs1at its maximum displacement from equifscr:;s65)1xg r(osu *cpifnlibrium, its instantaneous velocity

  A mass on a spring u8ldx(ou, ewf)ndergoes SHM. When the mass passes through the equilibrium position, its instant8 feo(xdw ,ul)aneous velocity

  A mass on a spring undergoes SHM. When the mass is at maximum displacementno2nxyibjb)q t e;p 3 -c52 /jm:pr,tl from equilibrium, its instantaneous accelerat o;t): r,x5 -ctqy3/b pjn2b2l nmpjeiion

  A mass is attached to a xckikrn;4qa12+) 7g3q lpvsa:.bndm vertical spring and bobs up and down between points A and B. Where is the mass located when its kinetic enerak) nqqkgn.c a4x 3 si7;pv2blm+:1r dgy is a minimum?

  A mass is attached to a vertical spring and bobs up and down ib ;fa-: eyuk;uh;p q*between points A and B. Where is the mass located when its kin:; *upq-f; a;kyu ibheetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up and down between paz55w tl3 ej )oj,-zq(3hkkkzoints A and B. Where is the m35j ektzlk,)zko 5-jw3h qa(zass located when its potential energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down between pocer,.x 1c hp 5bhy4l;;vg7fyuints A and B. Where is the mass located when its potential p1y75; . u;4v, hxbryechfglc energy is a maximum?

  Doubling only the amplitude of a vib /anwgrex 5c6* e3pu+lmssb4*rating mass-and-spring system produces what effect onx wsmn6u/e*gc*45pl3 e br+a s the system's mechanical energy?

  Doubling only the mass of a vibrating mass-aypuj . .gnxn,-sk:/ pynd-spring system produces what effect on the system's mechx nkg-..pn,: j/psyyuanical energy?

  Doubling only the spring constant of a vibrating mass-and-sgnef(fc3ekufs5- .p f+mt0. ppring system produces what effect on the system's mechani(0p kp gf+f-.mf fus5e.c e3ntcal energy?

  A mass oscillates on the end of a spring, both s 3ly88/ctxxumf.w 8bon Earth and on the Moon. Where is the period th/xb x.fw8t m8 sc3y8ule greatest?

  Increasing the spring constant k of a mass-and-spring system causes what ki)*na4s0mui4 qk , qfs 2derbs(nd of change in the resonant rmq*es40 q4ssi2 ab nf(),kdufrequency of the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system causes what kb/ m5-cm7ggktj0)d 4ymqrk 6iind of change in the resonant frequency of the system? (Assume no changec)t7m0mkgqyjd m54ki -/6grb in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system causes what ki xgm:2hucw.t. d9-jjcp)ato 2nd of change in the resonant frequency of the systemad.p 2gh2oj:j9uwc t. x tm)-c? (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 mas3tx r lx4:+tv-/tmal rs M attached to a weightless string of length L. For this system:tt/xl4a+ ml3v rxt -r, when undergoing small oscillations

  When the mass of a simple pendulum is tripled, the time required for onx kxmp105kmz +0seaf 6e complete vibratmmx s 6p5k0e+xk fz1a0ion

  Both pendulum A and B are 3.0 m long. The period of A is T. Pendulv:fudp geph//sjw 6 e)84 (brtum A is twice as heavy as pendulum B. Wf/):ud/j vrwgpest8(h 4 6epbhat is the period of B?

  When the length of a simple pendulum is tripled, l coyi p6f(4m5the time for one complete vibration i4il56yo (mpcfncreases by a factor of

  What happens to a siqg(c,f/d-jd lb(x8pm3 dw6j hmple pendulum's frequency if both its length and mass are incredwl6j(8 gc,xjp -d/dq(mb3fhased?

  Simple pendulum A swings back and forth at twice the frequency of: md ng6yxjl+9 simple pendulum B. Which statement is correctl6nx d:j9my +g?

  If you take a given pendulum to the anhi8 x054ga aMoon, where the acceleration of gravity is less than on Earth, the resonant frequency of the pendulum wn5xg aiha 8a40ill

  Curve A in Fig. 11-1 represenqi xqz9e*3ee8 fm18lhxa :5/osp chj *ts

  Curve B in Fig. 11-1 repv*cy(qf7:6zggwx-:gcgkq z; v 2sln *resents

  Curve C in Fig. 11-1 represents5gmu6y nv n0m8d zg;3u

  For a forced vibration, the amplitude of vibration is found to depee-w2 ch62o-*wyyoy an )wi3dk)yhbm :nd on the

  In a wave, the maximum displacement of points ofsbi xgm xl *q:fle2m r/m/w ,sz0*f32q the wave from equilibrium is calle q3mrbewl/2f0/xmlgs zqm2ifxs ,*:* d the wave's

  The distance between successive crestq -giupd)( ff1s on a wave is called the wave's

  The number of crests of a wave passing a point per unit time is h9qtinv79awef*+-g1e nc 4br1a:ppzcalled the wave'sa4za*pb rcn :1 wn 1ee9p gifhvq+79t-

  For a wave, the frequency tee:zyf 7n ql; 4smln(,imes the wavelength is the wave's

  The frequency of a wave increases. What happens to the distance between succezi(y85hcgmt 2 ssive c zyt i5hg28cm(rests if the speed remains constant?

  A wave moves on a string 8wk 1atqx4cf )with wavelength l and frequency f. A second wave on the same string has wavelenqx )4wa1tk 8cfgth 2l and travels with the same velocity. What is the frequency of the second wave?

  Consider a traveling w)fv9lp) be5qb,i2qw ) qn4rmqm*ql0e ave on a string of length L, mass M, and tension T. A standing wave is set up. fpbrblm,) 0qwq)e qem9 5inqvl*q2 )4Which of the following is true?

  A string of mass m and length L is under tension T. The speed 52o4 u)d ewdhy3*cumxof a wave in the string is v. What will be the speed of a wave in the string if the mass of the string is increas)5xomdu3 y2 dc4ue h*wed to 2m, with no change in length?

  A string of mass m and length L is under tension T. The speecdo1jp 6r *mnlv;*1bcl m4g2d d of a wave in the string is v. What will be the speed of a wave in the strin2b m oj;ml6*4 *cd1 p1ldrcngvg if the length is increased to 2L, with no change in mass?

  A string of mass m and length L is under tension T. w;r 6 .v;zoebzbd o9,jed23gw The speed of a wave in the string is v. What will be the speed of a wave in the string if the tensi;w6e3dvb,dgr;oez2z jw9b .o on is increased to 2T?

  In seismology, the S wave (6 4qfvtqgrm+is a transverse wave. As an S wave travels through the Earth, the relative motion betweenvq( r q+mtgf46 the S wave and the particles is

  In seismology, the P wave is a longitudinal wave. As a P wave travels thr ltlv3x3) lpgtn.6yv 2ough the Earth, the relative motion between the P wave and thl .y3 tlg2vtlxv)n3p6 e particles is

  The intensity of a w v ;0ozh3f(bxgave is

  A wave pulse traveling to the right along a thin+n 9hyp;,p dl.vkw p+g cord reaches a discontinuity where the rope becomes thicker and heavier. What is the orientation of the reflectedhd+p;pl+kyvwn,9g p. and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass 2.;wgv 1xs0 dxxezsytn*,u)leach other on a string, one is traveling toward the right and the other toward the left. At the point*xx0u)t,l 1;xsg.zn2 sywevd that they occupy the same region of space at the same time

  Two wave pulses pass each other on a string. The one traveling towarfm;o;8pfb 02 jvtou)xpf1z) aj f4zc,d the right has a positive amplitude, while the one travelinguaof4fz2pxjo z,jt)bvc; ; 18 mfp)0 f 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 as a string x...l9e r ymw/ 4rhb hx)zf,zrfixed at both ends, occurs when

  If one doubles the tension in aqj/f;(fcv/ i7f za k:s violin string, the fundamental frequency of that string will increase by a factor o sqf//:7ijakzc;ff v( f

  What is the spring conw u (k rt4anuu1:o6:drstant of a spring that stretches 2.00 cm when a mass of 0.600 kg is suspende1wdno:: ru4r6( ktuu ad from it?

  A mass is attached to a spring of spring consto6a7nnagj/ v3z3 p un-c arx63ant 60 N/m along a horizontal, frictionless surfac j33nn3/ona-7 prgvzauxa6 c 6e. 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 a spring of spring constant 60 N 6 o1wn8(t1yaxo zupofx1-3z l/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 y61w1x8n (tofux z3z1poa- lo 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 mb oue72w6u3rspring 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 buu7o 2mw3rb6eack to its equilibrium position when it is oscillating. What is the frequency of oscillation?

  A mass on a spring usrn:ze .+oxmt;c pc- ;x t4pusbx0 15cndergoes SHM. It goes through 10 complete oscillations in 5.0 s. Wtc c;b:n+m0 ;rs-5ep. u1x4s xxctopzhat is the period?

  A mass vibrates back and forth from the free end of an ideal spring of spring co0hro)rv6qpc : nstq)h6orr :0pvc ant 20 N/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 spring of spring constant 20f)gq cxa ih-qbh36 z,p0ngl0* N/m along a horizontal, frictionless surface. The object oscillates in simple harmo,-qgfqc3x6 pb *0hl)0ag hzinnic 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 with amplitude of 4 cm. Th9d8klz2yna(; rw x 5pve energy is 8.0 J at this time. The mass is cut in half, and the ad9yzw;n25x rk( vpl 8system is again set in motion with amplitude 4.0 cm. What is the energy of the system now?

  A 0.50-kg mass is attm7; 9eq mxcaok*u4g4mached to a spring of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speqxe4o*4gm9 ;c mkma7ued 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 constant1a2 exg/ 4e7 dm+njipo 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 ae+2 xpdnm4/ 7jiea1 ogre the kinetic energy and the potential energy the same?

  A 2.0-kg mass is attached to the end of a horizh11nt5e.j 7b g;ocs s. n4x 1jxils9bmontal spring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the tot;1jo5.1 snxgt x4.1n7 hlbbsi 9jscemal mechanical energy of this system?

  A 2.0-kg mass is attach nf/b(y;5 qpran c4x0ted 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 4nbqcrx0 (/5n ;atypf mechanical energy of this system?

  A mass vibrates back and forth from the free end of an ideal spring of spring c,g2 6 psny*rlt);fthwp 8 nzl;onstant 20.0 N/m w *n ;pw) l lzryshfn26tt,gp8;ith an amplitude of 0.250 m. What is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring system is displaced 10 cm from its equilibrl5/lxw8 wz+xlv;z r/3xv* d knium position and released. A frequency of 4.0 Hz is observed. What frequency would be observed if the m*kx x5z v/r+zxn;l8w/ vld 3lwass had been displaced only 5.0 cm and then released?

  A 4.0-kg object is attached to a spring of spring constant uveex83*mzm1o s;vd7 /x(gdq10 N/m. The object isz;* d1vv g387qeu/(x xdemsom displaced 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 sprj-.a s49uvjr y ,f; v2zxyb- f/zbgv9ming constant 10 N/m. The object i-/u;vvs.9,va zm xfr jzgb4 fj2y -9bys displaced 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 constant 18 N/m,+/a/: ckv bdqx+xw0 djr9ra x. displaced slightly from its equilibrium position, and released. What ix :xrcbrv+9 0.+wqj/k adx/ads the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequency ofb+,nb n mw r+s 2-gmsby:1e*wf 1.27 Hz when displaced a distance of 2.0 c swmb gbfr+wsm,-n*+ny :1e2bm from equilibrium and released. What is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to different sq3t8oplar k/7 prings. Mass A vibrates with amplitude of 8.0 cm at a frequency of 10 Hz and mass B l akqtp87/3orvibrates 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. v7(s k;ebt uk,81wj8fmhfg5r 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 rbts5(7kkrm8fuwv h1f, e ;gj8 est. Calculate the period of oscillation.

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass stretches tdiq:g/ u1prr3he spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cp d1/i qurgr3:m down and released from rest. Calculate the total energy of the system.

  A 0.30-kg mass is suspended on a spring. In equilibrium the man fj;oq32yc1g2/ gofb(-: zsr,;r wixal 4xzqss stretches the springg1;2r-b: xn o z;q q lxyrwgc zf(3i/j2af4,os 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 harmonic motion obeys the following position versussr jjq 5rn2+n410a5s1lkoncj time equatio2 s+jorjsnqc0 nn1l r45j 5ka1n:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic mot: 2qdkfj66b fvion obeys the following position versus time equati6dvq:bf2j6 kfon:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following position vz ti dkg4mc)iz / geen-:vk73*ersus time equation:e-g*kmk in4e c zi7/d: zvg3)t
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simplen)t7) bz n*x8byrl al4 harmonic motion according to thxbylnl4 7r)naz 8)tb* e 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 oscillate4pb(8g z t+*6apyiwdms on a horizontal, frictionless track. At t= 0, the mass is released from rest at x= 10.0 cm. (That is, the spring is stretched by 10.0abd( m*p gy4+tz 6piw80 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 8o-y .xvs0r769 y-ji z*fbgkjzzfjf7m0p :qw 4.0 s. (a) What are its frequency and period4fi 7j sb: -zmz9vx7.ozfgr0y6 qj0fkw pj-y* on Earth?

  A 3.00-kg pendulum is 28.84 m long. What is its period on wrl0 o+6y3kq thg1me7 Earth?

  A pendulum has a period orzgo,(+;15ko- qrnb,lbgcy y ky/lg/ f 2.0 s on Earth. What is its length?

  The pendulum of a grandfather clock is 1.0 m long. What is its period l;9 g(l+v z)wie/9 *+pzgw,oorsoctzon the Eaes z,/ (vg+wg 9op zcoi)9 +lto*;lzwrrth?

  The pendulum of a grandfather clock is 1.0 m l/imww lcb*5 i6ong. What is its period on the Moon where the acceleration due to gravity is *w5b6im ci/wlonly $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass att*.n,s bz7ekpj2cfw 0sax * o)yhl0e(pached 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) p *s*2aeofw(c lj)y,.7 ep 0hszbk0xn had been attached to the string instead?

A simple pendulum consisting of a 20-g mass has initial angular displace6gqqxyi,jba v 8di- f lk4-66kment of 8lkbd4-j6 v-fiyx k6i8,qqga 6.0e. It 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 atp9tr/0*eqy yq i j wz7m.m/.de a given time. The frequency of the wave is 120 Hz. What is the amplijt zqq.ei .r dypm970/eyw/m*tude?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency of tgq)fxansulvg4. + .9s he wave is 120 Hz. What is the wn.s) ag v+xl.4sq fg9uavelength?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequencco z8w3w 11gghy of the wave i g8wz113hoc wgs 120 Hz. What is the wave speed?

  What is the frequency of a wave which has a peru rxl ),.c(aiiiod of 6.00 ms?

  What is the period of a wave with a frequency of 1l 7ipu8k d;rw8l/ 0os7cazhc1500 Hz?

  What is the wave speed if sftg/;non-:xvjd2 2n7d 7cw3mod- i7l e ;ddna wave has a frequency of 12 Hz and a wavelength of 3.0 m?7 xendc vng7s- 3m2;:2od -jtd inn;dofl 7/dw

  What is the velocity of a wave that has atws7 wtvsd o3 a:;roq.x+7j6q wavelength of 3.0 m and a frequency of 12 Hzwrq 7stq37 +vwt6:d o.o sxaj;?

  What is the frequency of apcn04dani8 -i 2.5 m wave traveling at 1400 m/s?

  A piano string of linear mass densitzt0k;wcj 14-9 mznofnhf)*oqy 0.0050 kg/m is under a tension of 1350 N. What is the fktfzonj;91zwcqo m*n-)4h 0wave speed?

  A string of linear density 6.0 g/m is under a tp0t*qppus5q, o 0o ze8d2tqe ;ension of 180 N. What is the velocity of propagation of transvq u pt poqsde80tq;z2* p,5o0eerse waves along the string?

A wave whose wavelength is 0.5(p p,q6iw;cp5nd8) b qb 5epie00 m is traveling down a 500 m long wire whose total ma wn5deq(ciq5b)pe 8;,i6ppp b ss 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 v.6 t rjh ttqlk;-ct50w/s+ cdtransverse wave on a 2.0-m long string fixed at both ends is 200 m/s. Which one of the following is not +c .;h trc/v6qd st-tlt50jwka resonant frequency of this string?

  If a guitar string has a fundamental frequency of 500 Hz, which one of8 y 2.yilitn/ymz e,1zas.a)d the following frequencies ia )z. .tzy 2aesy,mydil8n/1can set the string into resonant vibration?

  A stretched string is og.sg1dpf w3o+ 5s sy:mbserved to have four equal segments in a standing wave dr sg5s:wf 3pydom.gs+1iven at a frequency 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 frequevrnz0m vg)t16ncy of 12 Hz with a standing transverse wave pattern containing 3 loops. What frequz)mv1 n 6tvr0gency is needed if the standing wave pattern is to contain 4 loops?

  A string of linear density 5 * kjlr8 e/1nzy fhn4(xiwcn:.zvi2q 1.5 g/m is under a tension of 20 N. What should its length be if its fundamental resonance frequency is 220 Hzqniv .hkni fz:nl/4 c5(2y 8 rx1*wejz?

  Find the first three harmonics ow.;-o yl,k nkrf a string of linear mass density 2.00 g/m and length 0.600 m when it i.kw-rl,kno; y s subjected to tension of 50.0 N.

A string of length 2.5 m is fixed at both ends.k; pj2 a-a0.ovkveu 6o When the string vibrates at a frequency of 85 Hz, a standing wave with five loe. 6;pova0u a -kjok2vops 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.