The time for one cycle of a periodic process is called thrzp+/j9gv)7l a j9au)opl/ru e

  For a periodic proce/vm*qjr9. wz z;,a hwpss, the number of cycles per unit time is called the

  For vibrational motion, the maximum displacement from the equili q3ruk o(-3x6-yvxdq(t avj-hbrium point is cavo( ad-j( x-q3q - urykhtx6v3lled the

  A mass on a spring undergoes SHM. Wsr+u6; 4 ejzc+re alnyku( 2i1hen the mass is at its maximum displacement from equle+aresuij2 1y ;r z cn6k(+4uilibrium, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass l:p1 v(h frf/w t(psv+passes through the equilibrium position, its instantaneousrp(1f/w+ths pl ( vf:v velocity

  A mass on a spring undergoes SH pa ithrw0b,f9 .+w)jnM. When the mass is at maximum displacement from equilibrium, i hwi0t,+a prb )n9jf.wts instantaneous acceleration

  A mass is attached to a vertical spring and bobs up and do7zjwqtoo 4+)b y o7;c1 ,q8orvcvmug (wn between points A and B. Where is the mass located when its kinetic energy +q4boc8o7yw;,mcuv)rvo zjogq 7 (1 tis a minimum?

  A mass is attached to a vertical spring and bobs onz jdh ((fjiw3*l/ysla78u,up and down between points A and B. n3lldi,(uj7 *8yhaf/jozsw( Where is the mass located when its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up and down betw + ida xjpq8k8kj5+.oaeen points A and B. Where is the mass l8j x j a+kpiqak+.d8o5ocated when its potential energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down between points g)c + )ay8pozgA and B. Where is thzgc)po+ 8 agy)e mass located when its potential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-spring system,u+8kwtjq,ff, e;md s chtc44 m)fz+ pzf8xu1 produces what effect on the system's mechanicj,4 xt+,48fh qu f),dpf wzk st1z8mf c+ecu;mal energy?

  Doubling only the mass of a vibrating mass- fh9 ppq5x4di qt+ogj.xr:7 0n/e ie;tand-spring system produces what effect on the system's tp;d0e jxf7pioenq5:. /t 4rqh9i g +xmechanical energy?

  Doubling only the sprge*t1ugp5i :- fl0 kjning constant of a vibrating mass-and-spring system produces what effect on the system-l ungtjp:e kg*0f51i's mechanical energy?

  A mass oscillates on the end of a ski4n+(,exrb e pring, both on Earth and on the Moon. Where is the 4rbx+e ,(ekniperiod the greatest?

  Increasing the spring constant k of a mass-and-spring sy)d:m3 ehz ;kpnstem causes what kind of change in the resonant frequency of the system? (Assume no cha:)zd mkn; 3hpenge in the system's mass m.)

  Increasing the mass M of a mass-and-sprib3 k-wkzxu4np9b6 ut 7huy56sz jiw2:ng system causes what kind of change in the resonant frequen6u25zkw7utpns-k yxjuhb : 439iz6w bcy of the system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system causes bw1 (4 prg(gofs9ngf/what kind of change in the resonant frequency of the system? (Assume n4 1gso /(9f(brngwfgpo 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 weighbczihdhsu7t ;bw.w0 l/7d-6 pyzc)6otless string of length L. For this system, when undergoing small oscillations cspc -zd0dwwi h7to)6.y7;hb z6ul/ b

  When the mass of a simple p l9ppdco/.3 +h1y6 pljxqtqx0endulum is tripled, the time required for one complete vibly1 p.l+30qjcp/p6 xht 9xdqoration

  Both pendulum A and B are 3.0 m long. The period of A is T. Pendulum A is m7,g3a7(0ytig zno(oc dgb+n27e tzpht(c 7xtwice as heavy as pendul yoz2no0mztc(d 7i ,7a+etgbgt (nx3cp7h7(g um B. What is the period of B?

  When the length of a simple pendulum is tripled, the time for one completk /:v-gpftz,pr*7hqs e vibration increases by a factor off: rpps ,v -zqt*g/7hk

  What happens to a simple pendulum's frequency if both i + 1y8bi-: a ngi,hm pd0v(fya:ywyf 5rjiw;v,ts length and mass are incrj ;hr1:vm+wip5yd,-a0fvg(ib :f,y y aiw n y8eased?

  Simple pendulum A swings back and forth at twice the frequuxehk)) *p xh)ency of simple pendulum B. Which statement is ux)x h)ehk )*pcorrect?

  If you take a given pendulum toqqw(u) 0ry:hvupm hj8. 2 mvk, the Moon, where the acceleration of gravity is less than on Earth, the resonant frequencyum,w0uqv8k) jhqv.hm rp 2: (y of the pendulum will

  Curve A in Fig. 11-1 represennm ptj7q 24r)xts

  Curve B in Fig. 11-1 reprew*q ; (f+wsluc:r- udksents

  Curve C in Fig. 11-1 repr cq3iyhu;f-g jy d3*h(esents

  For a forced vibration, the amplitude 8zhpgo6v 7qm0 of vibration is found to depend on the

  In a wave, the maximum displacement of points of ;l*yqvs*)go z the wave from equilibrium is called the wave'gy z q;s*l)o*vs

  The distance between successive crests on a wave is called the wad.tjcw)q1 gu b,uf.pyuxj7ex f( -k 4,ve's

  The number of crests of a wave passing a point per m+k0q5dgl e s ojd u/3b:/+sw(la)zlg unit time is called the wave' 0j/bsdgkgaz lq5 +l: (/3d e)umowl+ss

  For a wave, the frequency times the wavelengcl ;u v7m lc)mx3 7bo//;rdlo8ziycw/th is the wave's

  The frequency of a wave increu)v0xm0co t -uases. What happens to the distance between successive crests if thut-o 0xu0vm) ce speed remains constant?

  A wave moves on a string with wavelength l and frequency /x(s,m 7gjtw83 gw vemf. A second wave on the same string has wavelength 2wgtwms8m /jvg7e(x 3, l and travels with the same velocity. What is the frequency of the second wave?

  Consider a traveling wave on a string b) 8ji slp;j84 zy0y6saj1lgfof length L, mass M, and tension T. A standinz; l6l4fyga8j 0s s)i 1j8bpjyg wave is set up. Which of the following is true?

  A string of mass m and length L is under tension T. The speed of a wave in tq fqph 15tt0 reux8dy8 )v/2dmhe string is v. What will be the speed of a wave in the string0t)fq dy2 5trh 1qxd/pe88 mvu if the mass of the string is increased to 2m, with no change in length?

  A string of mass m and length L isl k4p05tbjk:. egha7d3gb/a d under tension T. The speed of a wave in the string is g pajkl:/d5g4a0h.ek bd73 bt v. 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 tensio7.e dcpegih6: sdlehy9 5-9qgn T. The speed of a wave in the string is v. What will be the speed of a wave in the string if the lqs95 . dghe6e9 -yphecg7i :dtension is increased to 2T?

  In seismology, the S 20qg3s s/r z6ss/q nhfwave is a transverse wave. As an S wave travels through the Earth, the relative motion betwnsq z/s/03r2hf 6sg sqeen the S wave and the particles is

  In seismology, the P wave is a longitudinal wave. As a P wave travels through thi(hog.vz zh:; e Earth, the relative motion between the P wave and the particles h:g ivzoz ;.(his

  The intensity of a wave is;bf n8hb3ji6i

  A wave pulse traveling to the right along a thin cord reaches a dvtrjsh nqydd/kr++rs) ez i*f. /()b+iscontinuity where the b)vq)+dht *d./i ny rsjker++s zf/r(rope becomes thicker and heavier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each other on0y/: wtk 5efkv a string, one is traveling toward the right and the other toward the left. At the point thk wev :/5yktf0at they occupy the same region of space at the same time

  Two wave pulses pass each other on a string. The one tr)rmyme 9f 4pppsgnoay+ 3skb63l;5h8aveling toward the right has a positive amplitude, while the one traveling toward the lef6g38rms)y b+foep495p ;ym a shlpn k3t 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, sfp q07b)*ke jpuch as a string fixed at both ends, occurs when

  If one doubles the tension in a violin string, the fundamental frequk5(9n 1axxpq :qtk6b jency of that string will inta kb 6 5p9kxq1jn:x(qcrease by a factor of

  What is the spring consy /j0hoe-* mihtant of a spring that stretches 2.00 cm when a mass of 0.600 kg is suhy* j-i/eo0h mspended from it?

  A mass is attached to a spri*g 1gj ur*at9xng 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 0.5x*jtag g9u *1r0 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/m along a horizontal, fr-grlk 9w(nn z1ictionless surface. The spring is initially stretched by a force of 5.0 N on the mass and le wl-k gn91(znrt 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 abco1-vt3.r 7su:wl8o f-xm f x spring of spring constant 60 N/m along a horizontal, frictionless suxot lf7m. bc s1-8xfu:-rowv 3rface. 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 oscillation?

  A mass on a spring undergoes SHM. It goes through 10 complete o 66k cb;y1a6duopmfy. scillations in 5.0 s. What is the p;66. ka cmdofpyub6y1eriod?

  A mass vibrates back and forth frc nas )39a/dqmom the free end of an ideal spring of spring constant 20 N/m with an amplitude of 0.30 m. What is n9cd3 ) a/mqsathe kinetic energy of this vibrating mass when it is 0.30 m from its equilibrium position?

  A 0.50-kg mass is attachedt+rt jnn 455td to a spring of spring constant 20 N/m along a horizontal, frictionless sjrt5+n5ttn4 durface. The object 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 amplitude of 4 cm. The )o.a n rp1 h7i(hc,jw w6zd(yrenergy is 8.0 J at this time. The mass is cut in haryd1rjhpow.z(7 ) (6 hc,ni awlf, 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 attached to a spring of sprxd(gn 63j(c .wp8y unsing 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 iu3dnw6cs( (xn8.y pgjs the amplitude of vibration?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m kr k.pdef0;p ;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 and the potential energy p0. ;kpdk e;rfthe same?

  A 2.0-kg mass is attached to the end of a horizontal spring of spring contwki*7 y.7mlc)k z8axf r x-0qv). xlhstant 50 N/m and set z.fa)0 q7vxklk h -8*xt)7mlrwc yix. 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 attacp8uyryg) z*c )hed to the end of a horizontal spring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0. c rp)*y8g)uyz10 m. What is the total mechanical energy of this system?

  A mass vibrates back and forth from the free end of an ii*n*apr8fo 5m em dv;w8lk6 *sdeal spring of spring constant 20.0 N/m with an amplitude of 0.25ds;wr*m8plk v *6e*ifn oa 8m50 m. What is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-s-,fjb2wpfz2 epring system is displaced 10 cm from its equilibrium positio-f2 2,pwbjefzn 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 xcr)*d9hs 42 o8o hozc10 N/m. The object i 8cr*zoc hs2doh4 )9xos 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 tou8w 5fd9hab mxqk:+:o a spring of spring constant 10 N/m. The object is displaced:obh+u 85k w:fdxa mq9 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, :mylq* k 38mg1 jhubpk,v:7 hmdisplaced slightly from its equilibrium positi hm:uqh 3pmjyk8, 7vkm1* b:lgon, and released. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillatx+tmh wem 28n6 ex.bbd5k*exm-:1y yfes at a frequency of 1.27 Hz when displaced a distance of 2.0 cm from equilx 8m:emmxfdty.y*1 n 2e 6khxe+ b5wb-ibrium and released. What is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to different springs. Mass A vibrates 930edgfh tas7h(g 3iqwith 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 of0h3 i9sfdtgq g7a3he( A compare to the maximum speed of B?

  A 0.30-kg mass is suspended on a e 9rql- c;94w0( age:spbcohxspring. 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 rest. Calculate the period os; c-ew b:p9 e4oxl90cr q(aghf oscillation.

  A 0.30-kg mass is suspended oxi3nawm7d, (q0f.:oeyxz5u tn a spring. 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 froxn: 3w(eu0 i5 mo.yxdtq7f, azm rest. Calculate the total energy of the system.

  A 0.30-kg mass is suspendkftt+ xydccn( .)z.) qrr;vd9ed on a spring. 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 relear(+. zt.9cnvkrfdxq)yt ;cd)sed from rest. Write down its equation of motion.

  An object in simple harmonic motion obeys the foll7gn(gs3 ,xp:1 rjisev4g /o8 2iizq mmowing position versus time equaiz s1: 7pmvejixsgigm/2r8q (,no g 43tion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following p2s n;b g;o-4lwsci +fvlv( 3n)w mad0aosition versus time equav4+o( 3w w vfaslsgl;-bnm)dc02i;n ation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following position ver01e/wu:c s tnx+uz b:/da jgx:sus time equazxgd:/ecw:+uj ta:/1nbxu0stion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple harmonic motion f i:rrjj 1pl(t773-cards e7jaccording to the jdc e1rj ri7 r7pfast3j(l:-7equation $y = 0.50 \; \sin (18\pi \times t)$ where y is in meters and t is seconds. What is the period of vibration?

A 1.5-kg mass attached to sihup i:um+sm+9k k bu3caxcor7) *8-dpring with a force constant of 20.0 N/m oscillates on a horizontal, frictionless track. At :*so -dbx ukc+i mphiak9)cu u3+mr78 t= 0, the mass is 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) Wr) u. w9ewl(b. o.4rugfnx58jiow c ;yhat are its frequency and period on Eartce9wb. jng o;84rw.)wix( your5f ul.h?

  A 3.00-kg pendulum is 28.84 axz* 1mvwc 6vfbm d.b(z-a5)z m long. What is its period on Earth?

  A pendulum has a period of 2.0 s on Earth. What isy bjng.j94v5 wsbqdo- :59 bjvjz1gv; its length?

  The pendulum of a grandfather clock is 1.0 m long. What is itm+o;zncjdwfk q0b:)-u5d83n crua2 i/ ndrq4 s period on the Eaw 03qdu8zaiqk4)nouf drb+j2 d- cn :;rmn5/ crth?

  The pendulum of a grandfather clvaak+z,yu,uc;79i0xuxxkz , ock is 1.0 m long. What is its period on the Moon where the acceleration due to gravi a, x xuvzzia,0,y7+ kuu;x9ckty is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attached to a m:zl ;. rm/5qvaf77o fgqm wwma, xb/t/assless 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 fre: z/5 xoa7wmm , faw .fm/;qqrtbvlg7/quency 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 angula,lfm p a.ak 4s(5+rhlar displacement of 8.0e. It os.ll+a5 rps4m ,kfaa (hcillates 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 at a given time. The frequency of the+2t5zc c0o fdv:4orin wave is 120 Hz. Wha+c c0fn r :2vo54dztoit is the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given time. The f+f jnny 0dcvtaeay1hj3a92 ; 0v5 -tcxrequency of the wave is 120 Hz. What is the wavey;jccetv d 9 h0yn -a nt5j2vaf1a0+3xlength?

  Figure 11-2 is a "snapshot" of a wave at a given timnnnlkrb,7/3fmoo t 3 -)yd 6tpe. The frequency of the wave is 120 Hzn, plt73 omn- tydkno3 /r6)bf. What is the wave speed?

  What is the frequency of a wave w(1 *ar ie+.jmjm :tscd*x* aafhich has a period of 6.00 ms?

  What is the period of a wave wow7c65mrw1f gr1w ,xtith a frequency of 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz and a wavele32daqa bt(otuca ac hmstf0i8mr:sdz,8 ,6 1)ngth of 3.0 m:,t6 0m8qcsa(if8daus,1 oaat2d)3 bh t crzm?

  What is the velocity of a wave-wcpq;,dp ; lfg+i ,rl that has a wavelength of 3.0 m and a frequency of 12qd pf,ll;+-gr cw;,ip Hz?

  What is the frequency of a 2.5 m wave traveling a( 1igycw exw kq-(f25nt 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is under a tension of 13h 2eo.o o-uy3*kok,-t jcokx950 N. Whakt y-ou eoohx2 k9oj.o3k,c*-t is the wave speed?

  A string of linear density 6.0 g/m is under a tension rgojb3fn,qlu8-y :m;; ulj uc i*( sn-of 180 N. What is the velocity of propagatiob; ,l:ucng n*q -8flm r3-i ojujusy(;n of transverse waves along the string?

A wave whose wavelength is 0.500 m is trryl0d -)plc7 laveling down a 500 m long wire whose total c0dl7pry )l-lmass 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 string fi72d qvkf:o2rj:8qnsx xed at both ends is 200 m/s. Which one of the folljq do2:n82rkvsx 7qf:owing is not a resonant frequency of this string?

  If a guitar string has a fundamenta9y5 eo 01/hueuery/ool frequency of 500 Hz, which one of the following frequencies can set the string into resonaeo/oue9 u/5 o1er0hyynt vibration?

  A stretched string is observed to have four equal segmentsl0n;v76bbrt-m0. zlcpd sfz0 in a standing wave driven at a frequency of 480 Hz. What driving frequency will set up a standing wb- z zprlf.d smn0tl07vb0 ;6cave with five equal segments?

  A string, fixed at both ends, vibrates at a wez )pebzc+) (cr (cidj0(fh (u)zhj/ frequency of 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency is needed if the standing wave pa(e+e/c( hj)z j)(zb ur(d )0fwp zhccittern is to contain 4 loops?

  A string of linear density 1.5 g/m is under a tensionc:h8yc0q acp1zl,: hoh(sr n3 of 20 N. What should its cno:0 a3hys, ch8:(q h lzcp1rlength be if its fundamental resonance frequency is 220 Hz?

  Find the first three harmonics of a string 80l -nrwd9tyn me w /g5b8fm3xof linear mass density 2.00 g/m and length 0.600 m when -8bm g etwnwd0rxyl9m 5f38n/ it is subjected to tension of 50.0 N.

A string of length 2.5 m is fibiq *6eimww9d 5so8z5xed at both ends. When the string vibrates at a frequency of 85bqesmw6 9i *5d5owz8 i Hz, a standing 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.