The time for one cycle of a periodic proce o*+vi a1j80cy)jhccv /zs g*uss is called the

  For a periodic process, the number of cycles per unit time is cxmma 2 zoy94,valled the

  For vibrational motion, the maximum displacement from thev5e 3muddv t(sah p/jjku862b zbv62.v/i lc6 equilibrium point is called thetvdvjvc83.6 auj5i / 2kz6bu6bm/ d(2lpsh ve

  A mass on a spring undergoes SHM. When t*r1y e 5fg(bnkqxk7 n(he mass is at its maximum displacement from equilibrium, its inst(1ebxn7k(5g nfqkry * antaneous velocity

  A mass on a spring undergoehb *8,hr ghwp4s SHM. When the mass passes through the equilibrium position, its instantaneous velocityh84*,ghr ph bw

  A mass on a spring undergoes SHM. When the mass is at maximum displacement fro,,nzpxyw5ypm g63: t*het5* 8xk zhxx62veu r m equilibrium,5zxue 8tk px nxzvg2w3y6x , p*he*m 6tr5,yh: its instantaneous acceleration

  A mass is attached to a vertical 9v oxz+p85kij spring and bobs up and down between points A and B. Where is the mj+ 8 kpo5x9zviass located when its kinetic energy is a minimum?

  A mass is attached to a vertical spring and bobs up and do5b r0*0t lbm(0fy yttj;62w cnz qyat;wn between points A and B. Wher ttwyqt;0b 5r0yl jy62ca (zm*;ft0nbe is the mass located when its kinetic energy is a maximum?

  A mass is attached to a vuii;wa3s*prk7e r/zv2cmrf8i na3 )+ ertical spring and bobs up and down between points A and B. Where is the mass located when its potential ep+a;*nafr/3e72 )i k irsu8cz 3mrw ivnergy is a minimum?

  A mass is attached to a vertical spring and bobs up and down between pointrqhay.4o ,u n;0s+ whbs A and B,uq s40y;ha bnhwro. +. Where is the mass located when its potential energy is a maximum?

  Doubling only the ampli i5za1z31 ehbhv )o5uxtude of a vibrating mass-and-spring system produces what u5ax zeovhz15b )1ih3effect on the system's mechanical energy?

  Doubling only the mass of a vibrating mass-and-spring system produces what by1-lea7z b) teffect on tly 1bz)- bt7aehe system's mechanical energy?

  Doubling only the spring constant of a vibt0 t z4/(jl6xdo rnz5t 2fq.dzrating mass-and-spring system produces what effect on the qzotj6f/dtr2z 4 nl(x5t z0d.system's mechanical energy?

  A mass oscillates on the end of)hp;aqnjvjuscy h(g4y8/2 t) a spring, both on Earth and on the Moon. Where is the perioda; j2qv/g4p8)n h(tyjs) ych u the greatest?

  Increasing the spring constant k of a mass-and-sprin9 mwv1 11l c1wvo +gpckf3 3zjp/wt/ cwv(off4g system causes what kind of change in the resonant frequeo(k fw/1wt+fvj w 3gmppv/cz9o 141c1vlcf3 wncy of the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-l. :pwktbyp*,sbz 32 cbg96wsl0ir 1g spring system causes what kind of change in the resonant frequency of thb p t6cwb y:zgl.gksp9,*1 l23ws 0brie system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-m gmh4fkqa -h6wb92v)and-spring system causes what kind of change in the resonant f9k)wmg-qh6f bhmv4a2requency 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 of6you/o d0 er8lfe9f4k a mass M attached to a weightless string of length L. For th6f lu4o /8edo9kfe0yris system, when undergoing small oscillations

  When the mass of a simple pendulum is tripled, the time required for onet 8 u:qcbwjnc01 d2zx5 complete85n dc1cj0qb :xuzwt2 vibration

  Both pendulum A and B are 3.0 m long. The period of A is Tiny zhz.2-hgbh7w*qy- t 0h465ibj zr. Pendulum A is twice as heavy as pendulum B. What is th -bg-r6*nhh 5b zh.y0hjy4wtq i2zi7ze period of B?

  When the length of a simple pendulum is tripl 2 x5pkhv ndg(m(b0e:led, the time for one complete vibration increases by aex l5 phm(d0gvn( b2k: factor of

  What happens to a simple pendulum's7 4d/ 1xplmzdx frequency if both its length and mass are increalx71dzd/mx 4 psed?

  Simple pendulum A swings back and forth at twice the frequency :v upu0 lpgfhb; ;b5a avdhm)gyi(, ,.of simple pendulum B. Which statement is clhgmv.v,,hi5;ab fpub d ) :gpya(0 u;orrect?

  If you take a given pendul zk 0kldq.bk(1um to the Moon, where the acceleration of gravity is less than on Earth, the resonant frequency of the pendulum wil(bk q1kkl 0.zdl

  Curve A in Fig. 11-1 reprbi ppjylh510 d : d;vt9/m7upaesents

  Curve B in Fig. 11-1 representj 82;*ux r akk47b8jpbk6+ rzt 7protas

  Curve C in Fig. 11-1 rep3f0xk w w)2jyrresents

  For a forced vibration, the amplitude of vibration is found to depend on the-v:)p kif py2 up8s0oq

  In a wave, the maximum displacement of points of the wave frq+8u q vvcxb/ 3tzaw:)oj;dx5om equilibrium is call)wvxj /b: d8c;u3o t+zaxqq5ved the wave's

  The distance between successive crests on a wave is called thbrssvh2y1o9a y56g(,qkwr)ye wave's

  The number of crests of a wave passing a point per unit time is called the aoft/+ 41jhy e+t kr9xwave'srx+o+ teyj /t k91afh4

  For a wave, the frequency times the wavelength is the wav a)(qdopa0ey mr9x *i39luz;ae's

  The frequency of a wave incrvpa 5.ktz:)h8fil.fr0 xjb-, hk i(hleases. What happens to the distance between successive crest).:0h.ifprk h kl(5zvahltjf-b 8 xi,s if the speed remains constant?

  A wave moves on a string with wavelength l and frequency f. A secgaz qb8t *:):rw (q/wf6gjxhd/gg a1h ond wave on the same string has wavelength 2l and travels with the same velocity. What is the frequency of the second waadg1hrhgtg:ab wgx/ fwj (86/qq :*)zve?

  Consider a traveling wave on a string of length L, mass M, and tension T. A sk9z 0:)xa,7*ldeceq ycthze0 tanding way acd qt7xe:0cel09h)e z,k* zve is set up. Which of the following is true?

  A string of mass m and length L is under tensiop/ be5/ :zamgkn T. The speed of a wave in the string is v. What will be the 5mg/ab/kp:e zspeed 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 tension T. Th v5bva;g )lt,b9nhwsc -2+7 xz p:umxfe speed of a wave in the string is v. What will be the speed of a wave in the string if thb p :wx9xtsm;h)cabgfv,n -+2 5vz 7ule 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 wa hc9dl90e bpx;oh3j-*add ;y hve in the string is v. What will be the speed of a wave in the string if t 0 jdh-oe3cp9dbl* ; dxyh9;ahhe tension is increased to 2T?

  In seismology, the S wave is a transverse wave. As an S was rhp:g.n,,w 33fs dadve travels through the Earth, the relative motion between the S wave a:3pwhr,dsg, f 3. nsdand the particles is

  In seismology, the P wave is a longitudinal wave. As a P wave travels t:zf,*ys s.x+qvi q,c o7+ lxohhrough the Earth, the relative motion between the P wave a qyx+z sx+sl,.7 :of*oqc,iv hnd the particles is

  The intensity of a wave 5;+lo z4gk bbiq0y9swis

  A wave pulse traveling to the right along .yonlzl j b0a8kj u 2b3.le..ga thin cord reaches a discontinuity where the rope becomes thicker andu . nl0z jl.e gk.2ja3b.ol8by heavier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass emfkpo lm1aj 8;81a; /mb9j pvcach other on a string, one is traveling toward the ;ap1kj m9vp8fmljm o1 b 8c;a/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 on a string. wp*d 4hrz i8hc1,t;lf ur(w j7u esu3a 24qh5o The one traveling toward the right has a positive amplitude, while the one traveling toward the left has an equal amplitude in the negative direction. At the point that theufwczul;orh,3*ap eqrt (d 7 hw 4jh42158suiy occupy the same region of space at the same time

  Resonance in a system, such as a string fixed at bothp5/4/gqa9 vu bpuipn9 ends, occurs when

  If one doubles the tension in a violiw1:m ykds9 m vw((4(jzqaqn(jn string, the fundamental frequency of that sk4 waz9q1sd:m(j(v(nw j(qym tring will increase by a factor of

  What is the spring constant of a spring that st akmwkc4:5aa 2retches 2.00 cm when a mass of 0.600 k2k5 c:aw4kmaa g is suspended from it?

  A mass is attached to a spring of s12iy b d.jsi ,srk/d0b- ksaqg 0ij6:lpring 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 back to its equilibrium position when it is oscillating. What is the iiki1 s/ls:gaj k 0qrd .,2db0ybs-6 jamplitude?

  A mass is attached to a spring of spring constant 60 N/m along a horizontg(7y)n;vdsjsp0-+th90h jwuu -e a rv9vml/fal, frictionless surface. The/ -luv s0j0ehgm h (ywvafjsv+ 9;prd9t-n7)u 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 period of oscillation?

  A mass is attached to jjkip6 m;v/b i1qnk 8,a spring 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 back to its equilibrium position when it injq/8kj;1 i,pk6bv ims oscillating. What is the frequency of oscillation?

  A mass on a spring undergoes SHM. It goes td7 ,.d;:yayjvm n5uxr hrough 10 complete oscillations in 5.0 s. W: dj m yr.dxavu,57yn;hat is the period?

  A mass vibrates back and forth from the free end of an ideal spring of spring )3ffngg4aeh/oa 7 p n00kz3 ctconstant 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 equilibriuma4p f03 e f0/73gzn)ncgtkhoa position?

  A 0.50-kg mass is attached to a spring of spring constant 20 N81ss p6ibn j1s/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 positioi6 b n1ps8ss1jn. What is the total energy of the system?

  A mass undergoes SHM with amplitun48v( ) jb9wtz td*verde 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. Whjet8bw(*v4)tn9v dr z at is the energy of the system now?

  A 0.50-kg mass is attached to a spring of s pd3i:8 k:vr8th nycv;pring 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. What is the :d88vvi; hnk 3cyptr: amplitude of vibration?

  A 0.50-kg mass is attached to a spring of spring constant 20 .o9p a do)0u+pd(4lzmfr5pz jN/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 are the kinetic energy an 9(zpp 5 uloj)afo.4zr pm+d0dd the potential energy the same?

  A 2.0-kg mass is attached to the end of a horizontal spring of spring constant (fyaa ( .6iv:ckoojr8 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the total mechanicalo((:r8fk.v ocy6ajia energy of this system?

  A 2.0-kg mass is attached to the end of a horizontal spring of s 5xa:6dq rx j/9xmrcx-p)mmn.pring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the total mechanical emm ja5xp) nxrdm 6rx9/q cx-:.nergy of this system?

  A mass vibrates back and forj(r3s b khq-0mth from the free end of an ideal spring of spring constant 203jb(-sh rkmq0.0 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-spring system is displaced 10 cm from its equica;z3eq o- vnm/4adr l7( gv5blibrium positiz cr/-n5bm3v;e 4(lg7daqva o on 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 released?

  A 4.0-kg object is attached to a spring of spring constant 10 N*b6 lcy2r t 3 vpj-q53vophli(/m. The object is displaced byr6 ip3hj(pvy* o25 tvbllc- 3q
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 ofkpc8w -dh(e p6 haypt2/op,q;74ncep v +mii; spring constant 10 N/m. The object ishik42a ,y -/( p enepho;m8q w+t;dc i6pv7cpp 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 const(a5j9(kyltu jp rrl;g/-g )wbant 18 N/m, displaced slightly from its equilibrium positi;j(y) krlul/(t9gg- p 5wbar jon, and released. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequency of 1.27 Hz whe *) o(8mfvkzfwn displaced a distance of 2.0 cm from equilibrium and released. What is ofw*fvz(8mk ) the maximum velocity attained by the mass?

  Two masses, A and B, are attached to diff 3v-4h boqohh/erent 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 43-h hq/oh vbodoes the maximum speed of A compare to the maximum speed of B?

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass stretchjv2qud w2,ji, l:uc, vqyd+( bes the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and released from rest. Calculate tduv: +q2dvuqj jc,2,(wblyi,he period of oscillation.

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass stretches the :uni*w ,xy r.f3tx.w:hqtpl2 spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and released from rest. Calculate the total energy of the systpx.:rh 2u:qtwiy. t xlnf*w,3em.

  A 0.30-kg mass is suspended on a suds:ffz1ym0vg*8f tce) r;8w 1ebd4u pring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an ad1;fdm *8tvr gfu s:bw4fez 0ce)1uyd8ditional 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 posj lw6balljw er d/un-9z, 592cition versus time equati56zeba2l9rj9wd ,cwnlu- l/jon:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following position versus time k3f.))muwc 4 pr 3pf::whpku2 gor5vdequation: rmkpd.c 4:f g3f)pw2ukh5)urvp:w 3o
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motiopp*f.(r) c cein obeys the following position versus time equae*i (r)p.fpc ction:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of yn40 0ocwg u(v2(z(gqzk91pb5 ihqnya spring executes simple harmonic motion according to they 2 5h u yob(gwzi9vp( n0(zkq0qcn41g 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 oscillates o10yi9i,1 t7;9en wptll cgsyst,o7iin a horizontal, frictionless track. At t= 0, the mass s 7 ;g1icswi ylit91y 9tli,,0 tepn7ois 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) What are02vbpk a 1oj du*u8t0o its frequency and period on Earthu2o 8t0* 1vdbo0 jupak?

  A 3.00-kg pendulum is 28.84 m long. What is itsltbhu-s. t4a7 0yk -uf period on Earth?

  A pendulum has a period of 2.0 s on Earth. What is iyphmc *y1ux8 v.u 1tw+ts length?

  The pendulum of a grandfaeo1 pkm-ndnf26x ck1 0ther clock is 1.0 m long. What is its period on the Earth k 0kxcmf1o n61dn2p-e?

  The pendulum of a grandfathefv;k169bsqp6xq7n y wfv7t0pn 7 k ;vnr clock is 1.0 m long. What is its period on the Moon where the acceleration du67 wqsfqn9 y1 7k 6vvkpb;vnx7pft n;0e to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attached to a massles)pui;v7oczb fa6ru92 s string. When the mass is displac2;zp)6f r 9o u7bciavued 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 masz hzi2i38nr7a s has initial angular displacement of 8.0e. It oscillates with a period of i32 hiz8zan7r 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-auwrvw gcz6*. v6,i v a given time. The frequency of the wave is 120 Hz. What is the amivg,r v6c .wz-w u6*avplitude?

  Figure 11-2 is a "snapshot" of a wave at0u- gtt9bj+2h9xzy cs a given time. The frequency of the wave is 120 Hz. What is the w-ty +hbsj2xg0c 9zu t9avelength?

  Figure 11-2 is a "snapshot" of a wave at a given time. Tha * ii:m(sr:na91ad vye frequency of the wave is 120 Hz. What is i*imny9sv1a ( ::adr athe wave speed?

  What is the frequency of a wave whicbgxb 377io o5+*qeqxch has a period of 6.00 ms?

  What is the period of a wa df*ux6 ,+pm+9r-azmvspuo 2kve with a frequency of 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz an:cn wsuao;0 n8d a wavelength of 3.0 mucn;sno w:0 8a?

  What is the velocity of a wave tha x/izy.jcrs +1t has a wavelength of 3.0 m and a frequency ofc xz.+j/yri1 s 12 Hz?

  What is the frequency of mri:pfqv f9ekez2t: y; m1g(3.ycwa6a 2.5 m wave traveling at 1400 m/s?

  A piano string of linear mass density 0.0ww h8x5 f4 ,ow.wai6yq050 kg/m is under a tension of 1350 N. What is the wave speedqha586fwwiw4xwy,.o ?

  A string of linear density 6.0 g/m is under a tension a04tkq gy4rdz /52nnuof 180 N. What is the velocity of pro5nd4 gzry24 /tq0uka npagation of transverse waves along the string?

A wave whose wavelength is 0.500 m is traveling down a 500 m long wire .*z*q5rc ea ljwhose total mjc 5*. azlqre*ass 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 a 2.0-m long za1ji q5ql25(xpho e4string fixed at o5xli1qa 2qz4pe h5 (jboth ends is 200 m/s. Which one of the following is not a resonant frequency of this string?

  If a guitar string has a fundamental frequency of 500 H3k-;r gt2pccgz, which one of the following frequencies cacg;p2 gtcrk 3-n set the string into resonant vibration?

  A stretched string is observed to have four equal segments in a standing wave o-v28jmexe+k driven at a frequency of 480 Hz. What driving -o e8k2 ejm+vxfrequency will set up a standing wave with five equal segments?

  A string, fixed at both ends, vibrates at a frequency of 12 Hz with an +eq rl45-lbkxkx 1;8mllbq9 standing transverse wave pattern containing 3 loops. What frequency is needed if the standing wave pattern is to contaim+19; q4 qe rnbl-xlkll58b kxn 4 loops?

  A string of linear density 1.5 g/m is under a tension of 20 N. What she)5pob+/7h s n4r, vq pivzi;iould its vr7eiiqs;h )+vpb5p4/o z i,nlength be if its fundamental resonance frequency is 220 Hz?

  Find the first three harmonics of a string of linear mass densi .1//blp7 khbxfpo+x dty 2.00 g/m and length 0 kb.x7pdpx/lo fb h1+/.600 m when it is subjected to tension of 50.0 N.

A string of length 2.5 m is f6u: p9u2jrndm0pj7sxkwk- y 2 fbg5 o4,fx/clixed at both ends. When the string vibrates at a frequency of 85 Hz, a standing wave with five loops is formn 9ujfpdr 5fusk-xo/ l2g0xjm,c6 :b24pk7yw ed.
(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.