The time for one cycle of a periodic process is called:iht6m+fg u h6 the

  For a periodic process, the number of cycles per unit time is ca6ymk1xj27lzet wsl 0jyzl z;v),(z +zlled the

  For vibrational motion, the maximum displacement from the eq:s*gcuc.r8r: 2 a. m)k udvpzyuilibrium point is called t rp uuc ca:2.z :g)r*dyskv.8mhe

  A mass on a spring undergoes SHM. When the mass , bz*t8fwv:xvvigq k 3p) dt:,is at its maximum displacement from equilibrium, its insta)q: z8bt,v* vi :tpx ,kd3wgfvntaneous velocity

  A mass on a spring undergoes SHM. hdxg id 6;j,b4h/h5irc9k+ kt When the mass passes through the equilibrium position, its ik cit/b;hd kxr6hjd,g4 i5 9h+nstantaneous velocity

  A mass on a spring undergoes SHzpukge3k/ fw4b (i6)mM. When the mass is at maximum displacement fromkmbg )(6zw4pfeiuk /3 equilibrium, its instantaneous acceleration

  A mass is attached to a vertical spring and bobs up and down bevg p, 3kl29h*l kcl,odtween points A and B. Where is the mass located when,o*v 2g, kkdclph 39ll its kinetic energy is a minimum?

  A mass is attached to a verti7 p2u1j.b 4rgm qj6 *u/lai4qnv s5ontcal spring and bobs up and down between points A and B. Where is the mass locsnt *p1rjqj/n 2oq4uui5b76ma. 4gvl ated when its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up and down between points A anp5p8 xssuzbny9cq).+4dl7yo d B. Where is the ma.+8)n7xqy 9ouspzcp4sld 5 byss located when its potential energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down between points -zt o u6i6hi3zA and B. Where is the mass located w6z z 6h-iuito3hen its potential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-spring s6 es/vdg(,da gystem produces what effect on thed(sg gd,6vae / system's mechanical energy?

  Doubling only the mass of a vibrating mass-and-spring geg-*rpz2zv 9system produces what effect on tg-vezzp 2 *r9ghe system's mechanical energy?

  Doubling only the spring constant of a vibratingled s :,3qd1i31vo gxs)n p3dt mass-and-spring system produces what effect on th:s3tp3,3o n e1l)dd1d s gxqvie system's mechanical energy?

  A mass oscillates on the end of a spring, bothol1f:aua *mv c)7s/kh( me-nk on Earth and on the Moon. Where isa(s1*)o hu7/kavfcn:m-l mek the period the greatest?

  Increasing the spring constant k of a mass-and-spring sysahf7m/ hvg9f. l (ld6mtem causes what kind of change in the resonant frequency of the system? (Assume no change in the system's mass g(ah7/ hdvm 96fm. llfm.)

  Increasing the mass M of :to6wg/ xkf: ;qvf (ica mass-and-spring system causes what kind of change in the resonant frequency of the system? (Assume no change in the system's s6owf f:k (gvti x;q:c/pring constant k.)

  Increasing the amplitude of a mass-and-spring system ca-a eur0td :*s5a fqlo6v8imkz+:l9gx uses what kind of change in the resonant frequenc5i 6r aqxluz:efl*ak-mgo+ :s 9v8td0y of the 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 mass M attached to a weightliop 7 1:j:p(nvpg1zb cess string of length L.vip1p1 g j7(o:nbzp c: For this system, when undergoing small oscillations

  When the mass of a simple pendulum is tripled,lgowpz4e4e : ; the time required for one complete vibwge:poe44 ;l zration

  Both pendulum A and B are 3.0 m long. Theh603jqn m a7oxp 1.kki b;d0fh period of A is T. Pendulum A is twice as heavy as pemk;h aqb 37xk0dhj f.p o10in6ndulum B. What is the period of B?

  When the length of a sim q;8detia.g-bgrmss8 3n5ga1ple pendulum is tripled, the time for one complete vibration increae8 s-g1. qamgrg3 snid8b5t;ases by a factor of

  What happens to a simple pendulum's frequency if both its length and mass/w*ww/e4k(t (p ay(b.v babus are increabb *(u. p w4kwaba/(y eswv(/tsed?

  Simple pendulum A swings back and forth at twice the frequency of simple pendul h872ivokot f2hjo/ *vum B. Which statemeno i 7k/2vfh 2ojh8ovt*t is correct?

  If you take a given pendulu/5.83kjfr4 batdi*a ucsxg )6t 8ga acm to the Moon, where the acceleration of gravity is less than on Earth, the resonant frequencua8tfkga.i r4/ca )c5s bda68gx3tj*y of the pendulum will

  Curve A in Fig. 11-1 re46llw)amow 81u pm8 wnpresents

  Curve B in Fig. 11-1 repreae1cpu h)y q*-sents

  Curve C in Fig. 11-1 represent7z7k:cq /g))h)3(gcz hqr n5 oifiosls

  For a forced vibration, the amplitude of vibration is found to f(jm 1muo,s cj0b5zahu4q77 gdepend on the

  In a wave, the maximum displacement of pfmb c/o4wi +9voints of the wave from equilibrium is called the wafmv4iw9 cb+ o/ve's

  The distance between 5: dxftf(xzapd1ul8u w1.ir , successive crests on a wave is called the wave's

  The number of crests of a wave passing a point per unit time is called t3 f5g cvpnmfuiyv6 lx (7ge9/f.i9ry2he wave's cn g7v.g5p92m (ff93l riuyief/vyx 6

  For a wave, the frequency tijy mkof)4 oi;9mes the wavelength is the wave's

  The frequency of a wave increases.3oj 2ceys9ex 16u5miy What happens to the distance between successive crests if the speed 6eyysio c532 ejux9m1 remains constant?

  A wave moves on a string with waveleng tf (uz(gw(vm4w)/rd.9f yvtmth l and frequency f. A second wave on the same string has wavelength 2l and travels with the same velocity. What is thef m.v(wt(/wgv t r(dy)9zfu4m frequency of the second wave?

  Consider a traveling wave on a string of length L, mass M, and tens3 av)h5;ol0een ;h h7p shws*kion T. A standing wave is set up. Which of the following is trsk )v 5ae;3 selhh*hpn7;w0houe?

  A string of mass m and lengt/gds4rp:er l3h 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 stg3rrp e4 sl:d/ring 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 tension T. The speed of a wave i6yrqi , 1-:ydduxpx/ in the string is v. What will be the speed of a wave in the string if thei r-ux 1ip/ :qyd,xyd6 length is increased to 2L, with no change in mass?

  A string of mass m and length L is under tension T 4 xhz.tu,fbk1c 71zyv. The speed of a wave in the string is v. What will be the speed of a wave ,4f bvhc1zxtz71uky. in the string if the tension is increased to 2T?

  In seismology, the S wave is a transverse wave. As an S wave travels -(1bwe+qdu r yr9rr1a through the Earth, the +yr(d 9rurr-1b1ew qarelative motion between the S wave and the particles is

  In seismology, the P wave is a longitudinal w:0 hq cdqtw(p)ave. As a P wave travels through the Earth, the relative motion between the P wave dwhc)qq tp0:(and the particles is

  The intensity of a wave i vx6z19;vfg0)ls gqtxs

  A wave pulse traveling to the right along a thin cord reachui .ojxjojrkb,+63* 5 6oicx*y e(z lpes a discontinuity where the rope becomes thicker and heavier. What is the orienooxe pj+*3xjl6(*5z r6i uy .bo ick,jtation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass mdp- rjroih65l6b:u . each other on a string, one is traveling toward tljrmou5pr6i bdh-.:6 he right and the other toward the left. At the point that they occupy the same region of space at the same time

  Two wave pulses pass each other onpc,k6gopp;9h 8cy v8p,b6hud a string. The one traveling toward the right og hb 8hyc;6ppkp,c6ud p98,vhas 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 the same time

  Resonance in a system, such as aj+e jasrr 31wm7 1l(bo string fixed at both ends, occurs when

  If one doubles the tenwxv (hbu1pcp,dd/vtpf26/4 +9f)vvh*fyb y m sion in a violin string, the fundamental frequency of that string will increy9pvu1f ff4pbc vym)/ 2 /(tdwhv+p6 *hd,vbxase by a factor of

  What is the spring constant of a springz+tsqq74- u iy7x 9yhq that stretches 2.00 cm when a mass of 0.60t97 sq-4yqhu7yiz+ q x0 kg is suspended from it?

  A mass is attached to a spring of spring constant 60 N/m along a hor4oa s6k+mtn ,nizontal, frictionless surface. The spring is ini 4n,tonmks6 a+tially 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 constanq os3 gf32mwb167j0cpjb. sfq t 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 oscillatingwg 12qom7q33bs 0 sfbjj6fcp.. What is the period of oscillation?

  A mass is attached to a spring of spring constant 60 N/z w:kmrpk2c*l-6vke z9)jdo. 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 oscilla ) ovz e.-2dmr*:lkckzjp9kw6tion?

  A mass on a spring undergoes SHM. It glrm.5 nbcup4wa; mb bf/36v;xld q 1n3oes through 10 complete oscillations in 5.0 s. Whatanv/l3x.cbn dq;6w15m ;bbf 34pmu rl is the period?

  A mass vibrates back and) ; kvzqklvr43imr2ca bd16u2 forth from the free end of an ideal spring of spring constant 20 N/m with an amplitude of 0.30 m. What is the kinetic energy of this v4k a u2q;vdb312m6kzrrv)icl ibrating 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 alc488aujdtt* fong 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 thj*au cttf 4d88e total energy of the system?

  A mass undergoes SHM with amqaqsfkvg* -4( u9e9(y5 d umcyplitude 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 with amplitude 4.0 cm. What is t 5*kq a(sc4qm (9vy fdeu-u9gyhe energy of the system now?

  A 0.50-kg mass is attached kqga y+7-udr2 to a spring of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple har yudk+7qrag2-monic motion and has a speed 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 o;v )uwc* *9yh+x t9 ewrz/ls(y; lziyc:s9l sff spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates t(yy9/ ;*+s rxlcysh*ulz cv ef9swiw;:)l9zin 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 attachedmrlalsyh: nh58o94.rtmeoa 3;c s+c4 to the end of a horizontal spring of spring constant 50 N/m and set into simple harmonic motion with an aolhlm8hn: at m3+9y.s r5c44c; oaresmplitude of 0.10 m. What is the total mechanical energy of this system?

  A 2.0-kg mass is attached to the end of a horizontal spring of spring constan,sbns.aqp +1xe8xj5k 77; 8rtyx h xeat 50 N/m and set into si es7atq+8s1x e7;p hj8x.x,rbn x y5akmple 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 xu tn0 **qt*z:ve dcivwoe;/+free end of an ideal spring of spring constant 20.0 N/m with an cd*xtz *+q0w* e uti ev:/vn;oamplitude of 0.250 m. What is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring sys rua2k :i;fz/0rc uc4p;lk9j(nol2i j tem 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 and then r(c:cu;k2 p;il4l jukj9n/ofarz02i released?

  A 4.0-kg object is attached to a spring of ;ww i+sc wt k(* u.qbe2j0cul;spring constant 10 N/m. The object is displaced . +qk0wtjbuw cs *c;;w(eui2lby
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 co cp.e 3 33,inxzbk*evjnstant 10 N/m. The object is dis *33c 3 vxijenk.pb,ezplaced 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, displaced sbwpx s y-4r p/)5 umzfqp*:1e:heogu-lightly from its equilibrium position, and released. Whatxrpof4)wme-*- sy1hb pgup/: z: qu5e is the frequency of its vibration?

  A mass is attached to a spring. It oscillatg t5ql x*lk;0v2tjg* res at a frequency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What is the maximum velocity attrx; 5ttkgll0gj*v2 * qained by the mass?

  Two masses, A and B, a*3rv qzprcu- z9pz9 pz:* y3djre 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 5.0 cm at a frequency of 16 Hz. How does the maximum speed of A comp* zprr z9 pzqy3 :cud3*zpjv-9are to the maximum speed of B?

  A 0.30-kg mass is suspended on a sp wf;qdlof 6g23z)vu 90 ce kidlz*2g1 ja3fp1jring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pu3ijp 6ldof k; wzd *f1)91v2u glqcz jgf2a3e0lled 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 spring. In equilibrium the mass stretches ttfja5)5 b+)*otlar eihe spring 2.0 c5)efo tlti*5ra ab) j+m downward. The 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 equilvmq7 c:i+czcd ;8mqh kyb m7+)ibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm iz; c+ +cyckvqbqm) h8m 7:m7ddown and released from rest. Write down its equation of motion.

  An object in simple harmonic motion obeys the following positic*tgdedwl2op pya o )6 10n**uon versus time equatiwu)doa *cplgp6y*2do0t1en* on:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following positiot82c1m/7yqz:zu qudg: 3gzqs n versus time equation:s3mug1qd:zc q/q7u: z 8g y2tz
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple hartl 6a:dsmaie0/ r-(o fmonic motion obeys the following position versus time equat 0:tiame(lds oaf 6-/rion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the y kmbh:+tz)6 afree end of a spring executes simple harmonic motion according to t6)mat:k+yzh b he 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 ton8:l 7p7 vyhv9nilstbzdf: / -t 9gs:o spring with a force constant of 20.0 N/m oscillates on a horizontal, frictionless track. At t= 0, the mass is released from rest at x= 10.0slsofnt v97dnhzi lpt vy:g:79:/b -8 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 swing o:..qk,kv9mbi 0: sgdmu3xyhs in 8.0 s. (a) What are its frequency and period on Earth? b:gi3md.:kkosv .h, q9 xy0mu

  A 3.00-kg pendulum is 28.8o /noytuw x5-,i lbh12 .:s5rgu vahf94 m long. What is its period on Earth?

  A pendulum has a period oyov+wm +c*)ja x4dt5 1sg1d. y1icwayf 2.0 s on Earth. What is its length?

  The pendulum of a grandfather cloqg)*rvx-f21 cu qa :otck is 1.0 m long. What is its period on the Earcg)ar*tqo2 1fx: uv-q th?

  The pendulum of a grandfatvwmc8p b ju;7en3n81 wher clock is 1.0 m long. What is its period on the Moon where t1wb3me 7w u pj;88cnnvhe acceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum coa6 bjgbp5* 6vsnsists 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 back and forth with a frequency of 2.0 Hz. What frequency would have resulted if a 0.50-kg mass (same di5p *gsba66 jvbameter sphere) had been attached to the string instead?

A simple pendulum consisting db*mmdbl j:0n56 b9nk/v0k7z6 lio dgof a 20-g mass has initial angular displacement of 8.0e. Imk l9 66bn 0: g0kj*dvbdz5b7 io/ndmlt 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 pu*2nr1-grye:3i zhgqsxk33 * , 7okve:o rd aat a given time. The frequency of the wave is 120 Hz. Whaur v :p*ngx* ogqi:13yh2d3eo7- kr3 ks,zaert is the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a go. .x +jfm// rxdfc(caiven time. The frequency of the wave is 120 Hz. What is th m/ j.cocx.(r+dx/ffa e wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given time. The fhu: 9uix2 7jsqb;90/oscj aawmf. (pfrequency of the wave is 120 Hz. What is 7uf/j9h;p.x:w u afjsomb(c 9qs 0ai2 the wave speed?

  What is the frequency of a wave which has a period oftpzc-,rg2 xdf vv 8x7a+o )3bl 6.00 ms?

  What is the period of a wave with a frequency of 1500cv5f8t z ol6g7 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz and a wavelength of 3.-tvb hfjoogvnm 2 mv s.7.2:agf1 up-40 mu vb7-fo t24vfm-jo.gvsm p12gh.n:a ?

  What is the velocityqc6 c(lqyo03 y of a wave that has a wavelength of 3.0 m and a frequency of 12 Hz?0yylq6cq3c (o

  What is the frequency of a 2.5 m wave traveling at 14 u3vvt),*p z;pfqk:1e hnevvqp8i)f 8 00 m/s?

  A piano string of linear mass density 0.0050 s48 nmn y)gqd7kg/m is under a tension of 1350 N. What is tq4 ny7 8md)snghe wave speed?

  A string of linear density 6.0 g/m is under a tension of 180 N. What is *iclt1x)2/2tlf w vi kthe velocity of propv2)tci xfkt*iw1ll2 / agation of transverse waves along the string?

A wave whose wavelength is 0.500 m is traveling down fv :p * /y *9-ociq:oqjsjx5hca 500 m long wire whose total mass isfy vh*:*q-c:q5 jooc 9isp/x j
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 propagationr8 ebw6+cv *xb:9dpze of a transverse wave on a 2.0-m long string fixed at both ends is 200 m/s. Which one of the following is not a resonant frequency of this stringr:xzev+d6peb8w *b9c?

  If a guitar string has a fundamental frequency of 500 Hz,rv++z72 rx wl,cc+ okj which one of the followic7 vxr+wo++l, zc r2kjng frequencies can set the string into resonant vibration?

  A stretched string is observed to have four equal segments in a standing *9nekn bg85 tw oyld2s0saq-9wave driven at a frequency of 480 Hz. What driving frequency will set up a standing wave with five equal sg2*sb95dk 8n y-lo0nesq9a tw egments?

  A string, fixed at both ends, vibrates at a freqc(w9+vxx9 nhp uency of 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency is needed if thchwnv+ p (x9x9e standing wave pattern is to contain 4 loops?

  A string of linear density 1.5 g/m is under a tension of 20 N. What sho+)ll o 0yxid 9 ,b6ng dfinep510wm8euuld its length be if its fundamental resonance fpi,e 16fdxdmyun 50li w0lnob 8)9ge +requency is 220 Hz?

  Find the first threel06r xd5 jcyzkpi;4dhcb3 1z ( harmonics of a string of linear mass density 2.00 g/m and length 0.600 m when it is subjected 6rdb zkh5cd( 30;4xcpyzl i1jto tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. When the string vibrates at a k6hfdo99fos2:x*hr4xf o7vrfrequency of 85 Hz, a standing wave with five loops is formed.dh2rxk o6 o7 rvf*:4hx9sof9f
(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.