The time for one cycle of a perio2 (llmlq(y 6(vx1lcip dic process is called the

  For a periodic process, the number of cycles pep6h+/wm oq)yfr unit time is called the

  For vibrational motion, the maximu*vi3i+e pjk1r.hqx5wm displacement from the equilibrium point is callw+ xipvq 13ekrhi.j5*ed the

  A mass on a spring undergoes SHM. When the mass is at its maximum displacemer y+d:(gj j: qdvjl)2cd7ta a-nt from equilibrium, its iqr + tvcld(2 aj7)j aj:d:-ydgnstantaneous velocity

  A mass on a spring undergoes SHM. When the mass passes through the equilib2r3g v3webk9hkty q*2rium position, its instan9k 2t b32wykh*3qrve gtaneous velocity

  A mass on a spring undergoes SHM. When the mass is at maximum disj k ,)+6bfs5rgdcn*t tuz7g:kplacement from equilibrf*6stu 7r5)jg: cdkgz, bkn+t ium, its instantaneous acceleration

  A mass is attached to a vertical spring and bobs upz3ko +kwu--ed jhul4+ and down between points A and B. Whereoew u4zu--kj+dl3 h +k is the mass located when its kinetic energy is a minimum?

  A mass is attached to a vertica g )wkfj/;ijl1x *7bnx hl8ei7l spring and bobs up and down between points A and B. Wheg; 1f8n/7l7xkixlw) *h j jibere is the mass located when its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up and downglf vw;z2r9i pncql(qhc w4m g :t-32, between points A and B. Where is the mass located when its potential energy is a mi2i;z cflhn-w g,rv pm2g w9(l:c3 q4qtnimum?

  A mass is attached to a vertical spring and bobs up and down between points .f zwq*autp n .8i9u8owv71u jA and B. Where is the mass located whew87u1ovupt f.8jz.u9a ni q *wn its potential energy is a maximum?

  Doubling only the amplitude of a vibrating mabh1t9l z+vbp-nr/pa); cr8q,r tur(o ss-and-spring system produces what effect on the system's mechanical ehr - opzlbp1;qvcrbtu)t+ /98,(ranrnergy?

  Doubling only the mass of a vibrating mass-and-spring system prh /wu mcjqx(ti(2yqn0/1 e8p .bx0bxg oduces what effect on the systeutnq( .( cbj0e/ m81 ix /w2hpyx0gqxbm's mechanical energy?

  Doubling only the spring constant of a vibrating mass-an86o /-juf kpk3od0 gxwd-spring system produces what effect on theju8 fd/kx6-o kp0wgo3 system's mechanical energy?

  A mass oscillates on the end ofn,g6)-, dh* wm k5s*2hbcjefiz uth ;w a spring, both on Earth and on the Moon. Where is the period the greatfz,,6dw2*i-c mhkjbsg5hu e;h* n t) west?

  Increasing the spring constant k of a mass-and-springkjpy;b,( rpd0* m eui4 +1vpcp system causes what kind of change in the resonant frequency of the sy 0v4,udkepc +1rbmpp ;*iy(jpstem? (Assume no change in the system's mass m.)

  Increasing the mass M ofek.mw siq+uw47t 3p*r a mass-and-spring system causes what kind of change in the resonant frequency of the system? (Assume no change rsiqt4mk7w .u+ 3w*ep in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system causes what kind of cm;v3svax/ d/whange in the resonant frequency of the system? (Assume no other changes in the sxva3s v/md;/ wystem.)

  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 weightless string o)b)4 y 73 wokof3,dr+nzlwysn f length L. Folz kd n 4)37rw3 )s+ybo,ynwfor this system, when undergoing small oscillations

  When the mass of a simple pendulum is tripled, the time re a;3/t(yz2t u6vxu qddquired for one complete vibration xvtud6 az3u;/ty2q d(

  Both pendulum A and B are 38rt e6v 45flou.0 m long. The period of A is T. Pendulum A is twice as heavy as pendulum B. What is the period o4v eof8lt65urf B?

  When the length of a simple pendulum is tripledsos vvqo6+oc j41ql+gg u+ ,/s, the time for one complete vibration increases by a o6 o+/,vv4sjuc o1s+q+sglqgfactor of

  What happens to a simple pendulum's frequency if both its length and mass are:hax g8ysr9w6 incr9 hg:s68y xarweased?

  Simple pendulum A swings back and forth at twice the frequency of simplef3 w2xjzd(: ee pendulum B. Which statement is correct?z:ej fwd2e3x(

  If you take a given pendulum to the Moon, where the acceleration of gravityn78x+op wljsp+ 8qwa2d6 lpw; is less than on Earth, the resonant frequency of the penw8as6w pj p8 ;o7q+plnxd2w l+dulum will

  Curve A in Fig. 11-1 represents nub7jr agoxh6hw9(3 ,

  Curve B in Fig. 11-1 represe8eyarcrh 8,v rme-s(:nts

  Curve C in Fig. 11-1 re dqlxgmh3 nm4 , vwjx 4;mkquy**b-j ;1)qj7zdpresents

  For a forced vibration, the amplswst9.e/ ihc t3b((ji aii.(hitude of vibration is found to depend on the

  In a wave, the maximaevv r8a55p2k pn; er.um displacement of points of the wave from equilibrium is called the wave' ev5knva ;85pe2rr. aps

  The distance between slajj*4 dsss 5v1z0j1y:su y/kuccessive crests on a wave is called the wave's

  The number of crests of a wave passing a point p/v*v 5dfhf -joer unit time is called the wave'hfo*vd5 f- j/vs

  For a wave, the frequency times the wavel;0vc9ohfi8n4y oyafdud7+kl 1xd- )oength is the wave's

  The frequency of a wave increases. What happens to the distanaiplj ;j/1ofrj0 7fd74 -3y vdbpc u1qce between successivv1l f40id;u p- jcjo77yd3brf qj1ap/e crests if the speed remains constant?

  A wave moves on a string wit 5ukkwr6-ayxx 29*4l d2kvr rxh wavelength l and frequency f. A second wave on the same string has wak5x k*l r- 4yadxvrrw9u2x62kvelength 2l and travels with the same velocity. What is the frequency of the second wave?

  Consider a traveling wave on a string ofcb7 sv1 vgp5gp pc3tnfu4,sin8 / 6/tl length L, mass M, and tension T. A standing wave is set up. Which of the following is tru,8p/n6p34t 7cglus 5/ 1nifgpcv tsvbe?

  A string of mass m and length L is under tension T. The spe)13apyf/ h/ y )hhp)ytefqnir*zrc /y,;irf6 ed of a wave in the string is v. What will be the speed of a wave in the st*y31 /c p yyhre6n)ir r,/)pt;zay f /)ihqfhfring if the mass of the string is increased to 2m, with no change in length?

  A string of mass m an v2vol8ld i*sq87rs j0d length L is under tension T. The speed of a wave in the string is v. vorjdq 8 8ls7i0l2sv*What will be the speed of a wave in the string 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 e l/ b-ppym)(mspeed of a wave in the string is v. What will be the m/pby()m -lepspeed of a wave in the string if the tension is increased to 2T?

  In seismology, the S *fxgy ws)e8q(wave is a transverse wave. As an S wave travels through the Earth, the relative motion betwey fwq(s)8xeg*en the S wave and the particles is

  In seismology, the P wave is a longitudi+ (2tsp v2rk,q6eb nvfpgtedse1) 1 r+nal wave. As a P wave travels through the Earth, the relative 1+ spfksv ep+d2be(2tg n1, terrq )6vmotion between the P wave and the particles is

  The intensity of a wvfo1 u0w8a;4iql cw+ woz(-33iy r omqave is

  A wave pulse traveling to the right along a thin cord reaches a discontdxbo2;7x,f+9vgazs t7c2vi w inuity where the rope becomes thicker and heavier. What is the orientation ofvc,9id2+a;z o 2 svg7b wtxfx7 the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each other on a string, on+ tc -w7ntvvch3+1 kzbe is traveling toward the right1v+-v kc3tc tz nhwb7+ 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. The one joxi n+i 76wdg-4 9im-p(+ibsc2 qhdctraveling toward the right has a positive amplitude, while the one travelingmpw+d 6i +ii7gjb4xncd -q-ocshi(9 2 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 strikh-p+ 1f9f/kd rozer2,su8 m fng fixed at both ends, occurs when

  If one doubles the tension in a v fgrs;*ir /w3r e3hh ul3gp:1liolin string, the fundamental frequency of that string will increaseg gsw lir1/ ; *lh3uer3rpf:3h by a factor of

  What is the spring constant of a spring that stre fxp: y)i hhla9a:uf.7tches 2.00 cm when a mass of 0.600 kg is suspended from it?: 9a7ha: ixf) lhufp.y

  A mass is attached t4rpidvf+l krr5k1 /w .o 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 is os 5rik dvlp4 r+/f1wr.kcillating. What is the amplitude?

  A mass is attached to a spring of spring constant 60 N/m along a sv0uq(cj 8i 4zhorizontal, 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 equilibq48u(si c j0zvrium position when it is oscillating. What is the period of oscillation?

  A mass is attached to a spriuv y kk.zyn*m d/zqd.w) tz coe4193p8ng 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 is oscillating. What is the frequency of oscillati k. zez/yq y) c.o3dd9vpuk1zn wt4*m8on?

  A mass on a spring undergoes SHM. It +m:6vd- t mht3-f4f;hccr ug ggoes through 10 complete oscillations in 5.0 s. What is the period?hm -6hg f:ud4mc; 3trgcf-t +v

  A mass vibrates back and forth from the free end of an ideal spring o:dtj 3y0zp6 izf spring con0z:pi d tj3y6zstant 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 20flbyd1 sooqak n6+y5-wu 3xhl1 ;s8l6 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 eqxkq5lf 6 h ;1l nw oya-uod+6138slsbyuilibrium position. What is the total energy of the system?

  A mass undergoes SHM with amplitude of 4 cm. The energy is 8.0 J q-;0ui 6ik;hhhuc7w q at this time. The mass is cut in half, and the system is again set in motion with amplitude 4.0 cm. What is the wu;i-u;ihqck6h7 h q0 energy of the system now?

  A 0.50-kg mass is attached to a spri ol0cm 51sntok,0g4xrng of spring 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 amplitude of vibration? 0 ,gcskl4txo510rm no

  A 0.50-kg mass is attached to asum 40p+p2r.ap4h exx 1j5v yk spring of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates2p14a+ mrpx xse.kvhup4j y5 0 in 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 attached to the end of a horizontal spring of spring co29 :fxsa eg:yjso35:(: i)rqhr yazolnstant 50 N/m s3lex:g zqi:2 s(hfj rya59a:o): yorand 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 to2wmsb w),b fft;8 j2lz the end of a horizontal spring of spring constant 50 N/m and set into simple ,mjbz ;f2bl2 swtfw)8harmonic 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 frj*jp xh nhyj 53ddc-w7 d73ob(ee end of an ideal spring of spring constant 20.0 N/m with an amplitude of 0.250 m. What is theod(5j -*3ybd nd pw7hxj 3hc7j maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring system is displa6ig/ix;hs,1bee pb + mced 10 cm from its equilibrium position and released. A frequency of6s h;e1m/i bx e+b,pig 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 springuwst- . hls +cflb0y18 constant 10 N/m. The object is displacey-lfs1lbcs+t 8h uw.0 d 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 constanty(s3h wqi+t*z4ar ab 3 10 N/m. The object is disp ht3(r *awb s+ya3q4izlaced by
5.1 cm from the equilibrium position and let go. What is the frequency of vibration?

  A 2.0-kg mass is hungxhsy2 /ik p d;nl+ypxf)1f42a 6fxmp ) from a spring of spring constant 18 N/m, displaced slightly from its equilibrium position, and released. What i) 2 fhkxaiy;6)xp f41dylpm/n+pf x s2s the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequency of 1.2+l n)z-* ziub+1bjzlj7 Hz when displaced a distance of 2.0 cm from equinzu*jb bjl l+zzi-)+1 librium and released. What is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to different springs. Mass A vitx8fhp ;wy4 nd( ly yf2aocjc 87y/0-rbrates 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 maxityc7fa8ch0r 4(wxpy8/yy-nl oj f;2d mum speed of A compare to the maximum speed of B?

  A 0.30-kg mass is suspended on a spring. In equilibrium the :a ek2d/u9yaa8sx o;f o+* vqfmass 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 the ady9 v8akx:a/fs+2uofqo*; e period of oscillation.

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass stretc bt.wg nrx.a1:hes the spring 2.0 cm downward. The mass is then pulled x1.atg .rb w:nan 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 equilibrum w)tp :uvhkc;*.o(0 p lr3q;c3tyn qium the mass stretches the spr 3;k : h)ltqcu 3oyqnv0pw.*tmru(;cping 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 versus tim* qcm8ydt.agyqiizp) *25, zp e equy.apdg *q c5zzq ti2 p,y8m)i*ation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following positil/bfb .aqz*n 5on versus time equationb.qlzb a 5f*/n:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic mo7ooig3o/0vg a/, 2 coprfzm7wtion obeys the following position versus time equatioz 2 o,m iga/ro/w7cp ov73of0gn:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple harmonic motion aafilt9(k9 , yal9d7f according to yfll(9dkf7a at,9i9a 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 sprbqa6)jg 3gd3e1o kdl o235of3;lff jcing 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= 10.0 cm. (That is, the sprin62f3qb golf53jago1d ljf;3dc )oek 3g 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 are it jjtxqc4gd0k 0;im9. us frequency and period on k j4txqi;9.ju0 mgd0cEarth?

  A 3.00-kg pendulum is 28.84 m long. What is its period on Earth?,5* jmpx c(gpqct;3 x3yvxh h1

  A pendulum has a period of 2.0 s on Earth. What is its lengtht yo2gpxc u8 7y;fuv;2gu/1fr?

  The pendulum of a grandfather clock is 1.2gpgn sqqn :/ 8tq;./ (alzvvh0 m long. What is its period on the Ear2;v( naz/th vgnp q8.gql/ :sqth?

  The pendulum of a grandfather clock is 1.0 btcwjsv s/,h(0 aow50 m long. What is its period on the Moon where the acceleraw0os hbjs,v/c(50 twation due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass tr n ) mj:xo:)1vrboa-attached to a massless string. When the mass is displaced slightly from its equilibrium positi rr:)b:- ojto)n1vxma on 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 mass has initial angular displacement oa;obnvl2/ :upf 8.0e. Iaov:p ul2b/ n;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 "snapsh(df gu 3/nnm:tot" of a wave at a given time. The frequency of the wave is 120 Hz. What is the amplituu( :3mdnn gt/fde?

  Figure 11-2 is a "snapshot" of a wave at a given time. The:d 7ayk-gmt) +i/9dq y+ope gk frequency of the wave is 120 ) k97:+ keag-ompdidy qy/g+t Hz. What is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a giv1)eft 6nq q ;tby7yps5q-obf5rqqk 0*en time. The frequency of the wave is 12 b0oqy 5)pqr57nb1;k-s yt6qf* qqf te0 Hz. What is the wave speed?

  What is the frequency of a wave which has a period of 6.00 mc5 1 x6o8sdqz 32wlnqxs?

  What is the period of a wave with a frequek r(vfgo+nl;7 ncy of 1500 Hz?

  What is the wave speed if a wave has a frequency of 1j 2yx4n7 z4rq)5 rshor2 Hz and a wavelength of 3.0r4n75z r 4hojsqxr2y) m?

  What is the velocity of a wave that has a wavelv6j/bk: ox8 tpuyh/ pa+(+nvt)+ /swjl+kfs cength of 3.0 m and a frequency of 12 Hzapl+f8nj/:w//6su++cvtybk h)tj+v o (xkp s ?

  What is the frequency of a 2.5 m wave t, 1y1wl ozeot(9ee x2jraveling at 1400 m/s?

  A piano string of linear *y6 a1stn o2naz-t:q7zzuni 4 mass density 0.0050 kg/m is under a tension of 1350 N. What o:qnz-a7tz2un n6t4*szyai 1is the wave speed?

  A string of linear density 6.0 g/m is under a tension of 180 N. What imn 9(lgc24af9b3 glers the velocity of propagation of transverse waves along the gfla(bl29n9rcg43m e string?

A wave whose wavelength is 0.500 m is traveling down a 500 m long wire whr0uu7c i5;vs vose total mass;ucruvis5v 70 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 s+m-/ntlp(: 4vh moja ktring fixed at bhk o:v m-(l+jtamn/4p oth 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 :mpgjq)*uskg3 c3 d8bd-pck,frequency of 500 Hz, which one of the following frequencies can set the string into reson gub)3 c8qcdp jk3psd*,:gm k-ant vibration?

  A stretched string is observed to have four equal segments in a standing wnjelz5,1x7 s.g sxi6m ave driven at a frequency of 480 Hz. What dj 1egzxs.5sl 6n xim,7riving frequency will set up a standing wave with five equal segments?

  A string, fixed at both vv 5m 5v:*rez yzq*ij4ends, vibrates at a frequency of 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency is needed if the jzy45er*5: vzqv vm*istanding wave pattern is to contain 4 loops?

  A string of linear density 1.5 g/m is under a tensionb8je6j b; (gkn of 20 N. What should its lengt6 j(jb;ge8kn bh be if its fundamental resonance frequency is 220 Hz?

  Find the first three :ltw k . ;uly*dm1rwi4harmonics of a string of linear mass density 2.00 g/m and length 0.601m lt.wy:i4rlwu* dk; 0 m when it is subjected to tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. When the niv dg /w4gd7wl6p,l:string vibrates at a frequency of 85 Hz, a standing wal:n7w/lp, igv64 wd dgve 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.