The time for one cycle of a periodic process is calle6j3r9e+ 6yollp e ahchb0:p5rd the

  For a periodic process, the number of c 5s i)zfhp p;1.yfhi(cz2xu+ nycles per unit time is called the

  For vibrational motion, the maximum displacement from the equilibriumpkfiubgac 9; e )q-y/9rxs h79 point is callr99i9 s/ ka;he 7yxbgpq) -ufced the

  A mass on a spring undergoes SHM. When the mass is amkozn+a /c2glsm +fc3 5n00gv t its maximum displacement from equilibrium, its instantaneousca05+z0mn k+g m nc fl23/sogv velocity

  A mass on a spring undergoes SHM. When the maswonpe h/1 i3f:s passes through the equilibrium position, its instantaneous velf3h1:o pew/inocity

  A mass on a spring u2( aixzpz)tbq-ro3 9 4bmxo5m;v 0 iujndergoes SHM. When the mass is at maximum displacement from equilibrium, its;3axi4umboqvztpr 9iz )x 25m(j0o- b instantaneous acceleration

  A mass is attached to a vertical spring and bobs up and down bn 7vt2jlvwk/qydg3xt ;:u.y+ / d5ulaetween points A and B. Where is the mass locatel+wv3k7v: /taudunj.ylx ;2gd/yt 5qd when its kinetic energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down between z52cta;zoh hfk 5q s27 wmo5z3points A and B. Where is the mass5ohao253m w5hz2z 7sqztk cf ; located when its kinetic energy is a maximum?

  A mass is attached to a2 i zzworh*sv h.iy+)4v.ofnh 7nws7k:y)y b- vertical spring and bobs up and down between points A and B. Where is the mass located when its potewz4sw ih h2n-y rosyvk)o)v f ..y:7i+bzh*n 7ntial energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down between f.cjx;q9zdyi6+ey * fp od:p6 points A and B. Where is the mass located when its potential ener;dxe fdp6y9p.fc* o qi :j+yz6gy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-spri/qg w7 l16,q/l vl+pzqwzj5zd ng system produces what effect on the swvl1 6dw gz q j/5lz/lzqq+p7,ystem's mechanical energy?

  Doubling only the ma7 (7rpm js4tc d/hdw1xss of a vibrating mass-and-spring system produces what effect on the system's mechanical enejs4w t/p77d(1r hxdmcrgy?

  Doubling only the spring constant of a vibrating mass-and-spring sy*a:m6idexw.pp 7 v2ufstem produces what effect on the sys pv6idwu7pxa 2*mfe:.tem's mechanical energy?

  A mass oscillates on the end of az73 c6sb8* xbaaak,c0 xqcm-z spring, both on Earth and on the Moon. Where is the period the greatam- ,z accbkz0x36 xsqa c7*8best?

  Increasing the spring constant k of a mass-and-spring system causes whaz)jyn *z ;f xtyl df*869tj,trt kind of change in the resonant frequency of the system? (Assu*)f zt6j ytrf,dzlx n* tj9;y8me no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system cwav3b5i 2:jy6qiauas4h xoff+ t3z/eh 1t48kauses what kind of change in the re a 1a4oea3i 5f t8jyht2x3/vz6+ bkisf4wu:qh sonant frequency of the system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system causes wha ;7prts(fx1 tpg5m ng(t kind of change in the resonant frequency of the system? (Assume no o 5n7p(s( 1gpmtgrx;ftther 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 weightlih o) naf9f9ifrg/ 84less string of length L. For this system, when unr4h)/n9i a9fo8fg i lfdergoing small oscillations

  When the mass of a simple pendulum isk csi)1d g5c;m tripled, the time required for one complete 1c 5mgkcsd);i vibration

  Both pendulum A and B are 3.0 m5pnire jv4,a8n/ y9jx*9 4axo8 qwpck long. The period of A is T. Pendulum A is twice as heavy as pendulum B. What is the pe4y5veojcn/94x ,x8p qpnw a8krji*9ariod of B?

  When the length of a simple pendulum is triz *hzl- yy7a+p7ht p:ypled, the time for one complete vibration increases by a factorzz*y:hpph tl+ y7a y-7 of

  What happens to a simple pendulum's frequency if both its length aujbh zd8:c5,yddu*0e87nc q and mass are increase nu:c7 qddacbh858* juyezd 0,d?

  Simple pendulum A swings back and forth at twinuq*h95o ij uj14b th7ce the frequency of simple pendulum B. Wh t4i j9j*h51u b7hounqich statement is correct?

  If you take a given pendulum to the Moon, where the acceleration of gravit8tczd59y6yn ;yq ,lgoy is less than on Earth, the resonant frequency of the pendudoyngc;,yylqt69 8z5 lum will

  Curve A in Fig. 11-1 represex8kvb/hua:jm 5 o34/(iqez8va d;qtynts

  Curve B in Fig. 11-1 repi7i1ler/ o/k+vcol sip,a d) qd(tp+ :resents

  Curve C in Fig. 11-1 represe*xx2 gdl (gp)lwj- mot2 f62agnts

  For a forced vibration, the amplitude of vibration is found tok 8s61 ud;gtqv depend on the

  In a wave, the maximum displacement of points of the ,a.t we;w7mzah 0qyf 8+ ;pbcbwave from equilibrium is called the a,bcqz8feyat;pw h7; bw .+m0 wave's

  The distance between successive crests on a wave is calq7sei wtwjx1t:5, x2p led the wave's

  The number of crests of a wave passing a point per unit time r/,nz8 ,pvpnx 0*kumhmipt /k)q 0ri 0is called the wave's,*vn/ )p /kirm0tqmz,h8ik pr un00p x

  For a wave, the frequency times q x(x)0 xkpkf5epw(j3the wavelength is the wave's

  The frequency of a wave iu nl29,cd -sgb idnd54ncreases. What happens to the distance between successive crests if the speed remains constan sdlcn-ig ,d9d5 nu4b2t?

  A wave moves on a string with wavele+ tp oive u*36a3wli)gngth l and frequency f. A second wave on the same string has wavelength 2l and travels with the same velocity. What is the frequency6 w3vpga)l eoi+i*ut 3 of the second wave?

  Consider a traveling ,fn gb rge :tht*9/b+dwave on a string of length L, mass M, and tension T. A standing wave is set up. Wb n rh9g bge+f/tdt:*,hich of the following is true?

  A string of mass m and length L is under tension T. The speed of a wave inga; i3 hl)(gjvh0rcy:d vbvl 0m181wm the string is v. What will0w:3rac 8;lgv gh)vhb mi mv0(1lj1dy 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 ushyg ) qeov(,2p w*gco67a0sc nder tension T. The speed of a wave in the string is v. What will be the speed of a wave in the string if the length is increased to 2L, with no change in m,e)(hg*cya sg72 vsc06oowpqass?

  A string of mass m and4f ns zdf3r+0yuu0c ;n length L is under tension T. The speed of a wave in the string is v. What will be the speed of a wave ff z;+un 3ry0nuds c04in the string if the tension is increased to 2T?

  In seismology, the S wavo13j d90of amoe is a transverse wave. As an S wave travels through the Earth, the relative motion between the S wave and 3o mjao0f19od the particles is

  In seismology, the P wave is a longitudinal wave. As a P was-sk3rw h4l c* h,2+zao3ole ove travels through the Earth, the relative motion between the P wave and the pa w, ho23klc+s4zo3 ohaslr-* erticles is

  The intensity of a wave is.f.67duouwta6 1zq + /mnejj l

  A wave pulse traveling to the right along a thin cord reach(y zjh7+j.*85wzpia vbg8cgj es a discontinuity where the rope becomes thicker and heavier. What is the orientation of the reflected and transmitted5+zy gj( j.p haj*7zb 8wi8cgv pulses?

  Two wave pulses with equal positive amplitx/ hs6lr.q 9y+p+ swn 26onuugudes 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 sam2uy w hx66sn.s g9uq/+lnr+ ope time

  Two wave pulses pass each other on a string. The on:pvbmaoh;k. ( e 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 .am k:(b;pvho they occupy the same region of space at the same time

  Resonance in a system, such as a string fixed at c qcwki7c()q2zncru8+i1c;+ krvu;z94 cpw tboth ends, occurs when

  If one doubles the tensio+ uc+9 coyto8rg3 i,z 7bf:nqsn in a violin string, the fundamental frequency of that string will increase by a fai bzr3 8ocunc+ g79ofy:t+ ,sqctor of

  What is the spring constant of a sprid3h/(u3 pbe)t5 p zoxqng that stretches 2.00 cm when a mass of 0.600 kg is susph qp b/t d3x(oep)uz35ended from it?

  A mass is attached to a spring of spring constant 60 N/m along a horizontal,z .zv4k +6tvvx 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 tx. v4k+ zv6zvequilibrium position when it is oscillating. What is the amplitude?

  A mass is attached to a spring of spring constant 60 N/m fv )oa7izn* a l7,1yjhalong 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 period ) a ifv7h,ao1l*yzj7nof oscillation?

  A mass is attached to a (5xqz*xw vfak:j , ;w7 kwkj:sspring 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 x7*:;kzw,q(w :fkj 5sxvj akw 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 througb6qwt10zj1f xh 10 complete oscillations in 5.0 s. What is the b6xt1f0z1q jwperiod?

  A mass vibrates back and forth from the free end of an ideal springger z6,,bh9zkq8rcm gi/ p n+. of spring constant 20 N/m with an amplitude of 0.30 m.9.mzgz bn,r8 h, pkcerq /+gi6 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 sprihg* -2iuvwmeor6k v63ng of spring constant 20 N/m along a horizontal, frictionless surface. The objec omk6 vr*wvh3- e6iug2t oscillates in simple harmonic 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 amplv *xl2 gcm++848emss,d vhmud itude of 4 cm. The energy is 8.0 J at this time. The mass is cut in halfdgmx4mv m8u+ h+e*, 8l2 vcssd, 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 attachedzlbn3 -k.e)vz to a spring of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmoniczk)vn-.eb3 l z 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 of spring constant 20 N/r0pu-a)m eo8+p9 vsps 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 t-ss )p vuo 90eapr8+mphe kinetic energy and the potential energy the same?

  A 2.0-kg mass is attached to the end of a horizontal nq :inwez:x 40spring of spring constant 50 N/m and :z qniw:en40x set into simple harmonic motion with an amplitude 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 sprin,lzb838y cc:nl+ i pseg constant 50 N/m and set intob+n3 s:zpc,lle8ciy 8 simple 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 v krz:;-jhcg k;lb qk6y; p0(vend of an ideal spring of spring constant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kinetic energy of this vibra; yc:-vgkqhvj k;rbz0;l kp(6ting mass?

  The mass of a mass-and-spring 61*7bn - 5jjqn6pjn.fcbht(ncl4g ds system is displaced 10 cm from its equilibrium position and released. A frequency of 4.0 Hz is observed. What frequency would be observe 1n(c*h5njpsn6t7g 6qf n-cb.4bdjj ld 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 Ndavyni 68ohquq -:wu33nh75o /m. The object is displaced o qnu vya :iuh783-3h56qnowdby
5.1 cm from the equilibrium position and let go. What is the period of vibration?

  A 4.0-kg object is attac,9 3+zg, dzskpx br2wj.yn s9nhed to a spring of spring constant 10 N/m. The object iswr n3xkss+2z . p y,bjdgn9,9z 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)f5po yds0xee- z (+rv spring of spring constant 18 N/m, displaced slightly from its equilibrium position, and released. What is thef5pyde +0(xso)rez - v frequency of its vibration?

  A mass is attached to a spring. It oscillates at a f.:npa+qbfh * drequency of 1.27 Hz when displaced a distance of 2.0 cm from equilibdnpbh *fq.a+ :rium and released. What is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to different springs. 474fvagwsu ,h Mass A vibrates with amplitude of 8.0 cm at a frequency of 10 Hz a us4w,gvha74f nd 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 o-q;/p abs2oc spring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional dsoq -c;pa/ bo2istance 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 stretchesz(+k vzxfue8yrxl11a.s1 m2+ ni s ol/ the spring 2.0 cm downward. The mass is then pullefisl1x mxolea8. 1k+ur/y(z 1 n2v+szd 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 svr7ajs s5gelf:zl2/(pring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cgss2 (7:ll5 /ejazfrvm down and released from rest. Write down its equation of motion.

  An object in simple harmonic motion obeys the following position versus vk-zrj + 3cf-xtime equatik-vf z-+ 3xcjron:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic q:+noil0v 5li motion obeys the following position versus time equationl o+qi0: l5vni:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following 1c*js96xjlhgdbn-:o(bbw+i position versus time equation+ nsi-c b9*1g bljbox(dh: j6w:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes sfld fto l8e ge 7-z3h6c15i0kpimple harmonic motion accordih 3k if8ee pl1 ozf05gtdl76-cng to the 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)mylwm1a(ld 2.l f u a0ome+l; force constant of 20.0 N/m oscillates on a horizontal, frictionless track. At t= 0, the mass is released fre lo2ll. )(;ua+m1d mw yfm0laom 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 coojzy; .dtk6 p/mplete swings in 8.0 s. (a) What are its frequency and periodk.6y /o;djztp on Earth?

  A 3.00-kg pendulum is 28.84 m long. What is its period on Ea/jbcbv* ;i2ne 1c/o jkrth?

  A pendulum has a period of 2.0 s on Earth. What is its lenb wr.3k/xl;qy gth?

  The pendulum of a grandfather clock is 1.0 m long. 7jbedoxyw .(01mj r2d What is its period on the Earth(xmydj1 w27ro b0 dej.?

  The pendulum of a grandfather clock is d/0(oiy*l)4yiqjo e be)mzs, 1.0 m long. What is its period on the Moon where the acceleratio( im0oo4q,sbd)yey ) l*/ej zin due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists o(q,wf p6c8 :26znk1hb uhbancf a 0.25-kg spherical mass attached to a massless string. When the mass is displaced slightly from its equilibrium position and rele :qu (h8czfa1,bhn 6b62wcnpkased, 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 ias/*.1xe p.ggrf o)i20-g mass has initial angular displacement of 8.0e. It oscillates with a peri. /ps.i g*xr1gefi )aood 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")yyrr f bj-ilce:)59m of a wave at a given time. The frequency of the wave is 120 Hz. Wi jemfr5y)c b:9y-r)lhat is the amplitude?

  Figure 11-2 is a "snapshot" of a wufpx),j (,4 ef*z0 osid4o)qye9m9 shdy; b jcave at a given time. The frequency of the wave is 120 Hz. What is the wavelength u ,40)4q)sd9c fmxyjedopfsjzb e*,oy;9 (ih?

  Figure 11-2 is a "snapshot" of a wave at a given time. z-ozu e7 a6rxbh.*0l e The frequency of the wave is 120 Hz. What is the eoaux7bez zh0 .*6lr- wave speed?

  What is the frequency of a wave which havq8jly r3l71 bul2f1js a period of 6.00 ms?

  What is the period of a wave with a frequency of8qgc) qba hn.3gosl 7. 1500 Hz?

  What is the wave speed if a wave has u /(ijq xehg.uk l1ilgl33p(+a frequency of 12 Hz and a wavelength of 3.i.l/guqlpue1+khi3 l3 j (xg(0 m?

  What is the velocity of3ml zp :,l4rfr a wave that has a wavelength of 3.0 m and a frequency ofml l ,z:prf43r 12 Hz?

  What is the frequency of a 2tql4 ,u dt67;yqks9 hp.5 m wave traveling at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is under a .gx93+z2 b qzzvephr:sr0mf,bz -ii4tension of 1350 N. What ixfz 9hb: mz-ibz+i0pz.v43 re2q g,rss the wave speed?

  A string of linear density 6.0 g/m is under a tension of 180 N.h ;teou h epl,h,-jg,;(3jx ri What is the velocity of propagation of transverse waves a;x , ;, lpuegj3otijehrh,h- (long the string?

A wave whose wavelength is 0.500 m is traveling down a 500 m long w yqddx*2pua5 r,;wz*wire whose totay; aqw w52,dpx*u* zdrl mass 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 z m7yl9c thvlo;t- d68qzi),iof a transverse wave on a 2.0-m long string fixed at mc ih,ido)v8 -7q69yzz;lttl both 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 k*d1o+2ba2il3djh zr , 6k)hqagwo9 uof 500 Hz, which one of the following frequencies can seo1r9z2uba6 ,wqa2 djo h3+k k*dgihl)t the string into resonant vibration?

  A stretched string is observed to have fourv z5 h*os+cs*h equal segments in a standing wave driven at a frequess5*+ o*hcvz hncy of 480 Hz. What driving frequency will set up a standing wave with five equal segments?

  A string, fixed at both ends, vibrates e8ws/)t8yf0c ot7v dlat a frequency of 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency is needed if the standing wave pattern is to contain 4 loops t8/wd ov)fcy8 7let0s?

  A string of linear deceo+ npm r15zwhtx2,0nsity 1.5 g/m is under a tension of 20 N. What should its length be if its fucw 1mzoxepnt2r0h ,+ 5ndamental resonance frequency is 220 Hz?

  Find the first three harmoni(ndks 6)c o a2ogmnyn,hvz8x s6f, 2a;cs of a string of linear mass density 2.00 g/m and length 0.600 m when it is subjected to tension of 58os2,6dy nvxhfamo ( 6nzg2 an;cs,) k0.0 N.

A string of length 2.be f7878s( et fqwbz*h5 m is fixed at both ends. When the string vibrates at a frequency of 85 Hz, a tq7we8zf(b sh *f b8e7standing 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.