The time for one cycle of a periodic process t rn2br :c)-etcu5tr2 k:)i eiow.wq2 is called the

  For a periodic process,b1wno h12fpm- m+*v 1ma mcq(r the number of cycles per unit time is called the

  For vibrational motion, the maximum disp6 hle: a)5/azc cw9ustlacement from the equilibrium point is called tu a:hewl6cz5 a)s c9/the

  A mass on a spring ut*y5 a b.fvehk/gs-p1tl; cb) ndergoes SHM. When the mass is at its maximum displacement from equilibrium, its instantan -)ytch 5be pg s1abkf.tl/*;veous velocity

  A mass on a spring undergoes SHM. When the mass passes through the equilibriux; ,xm7j 3dvcuqeq89/ja sd.mm po3e8,cvd/j jq9mx 7q.smad u ;xsition, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass iq3 (7iqjrt5n ws at maximum displacement from equ(qtq5ni3 7 wjrilibrium, its instantaneous acceleration

  A mass is attached to a verticagu0 r69(n jkplc+s xw0l spring and bobs up and down between points A and B. Where is the mass located when its kinetic en0pk9+0sc 6lgwnrj x (uergy is a minimum?

  A mass is attached to a ve bvuk gd.mx)o(. hqb44rtical spring and bobs up and down between points A and B. Where is the mass located when its kinetic energy is a maximu dgu4. mhq bkx(ob.v4)m?

  A mass is attached to a ver s b:* 1*tnjr0qfzzhl.a)ys2ltical spring and bobs up and down between points A and B. Where is trbzsh*q lj2.fy:)tl*za1s 0n he mass located when its potential energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down betw0q d ry axbir2 .ecymrl5;*7(feen points A and B. Where is the mass located when its potential energy is a maximu.2 mdrq lx;r( 07rey5 cibfa*ym?

  Doubling only the amplitude of a vibrating mass-and-spring system produces whatu3 vzijv:6qg5 z +;j9ik(zfw(e 5gz th effect on the system's mechani; vg 6(z+z :9wjkg5u3( z ej5vzhqiitfcal energy?

  Doubling only the mass of a vibrating mass-and-spring system produces what effeeunws1/pwo,e49 kujc iy- 8 5yct on the system's mechanicawne85-y,ykjoeuu p1 c9 wi /4sl energy?

  Doubling only the spring constant of a vibrating mass-and-spring system prod4ska2s8au2r, x r 6lwm xi9)bjuces what effecir 2xrawu8sa24 k9 b), 6xslmjt on the system's mechanical energy?

  A mass oscillates on the end of a spring, both on Earth and on the Moon. Where +./ko p ec9vx ++ycexa ip):zvpz*to1is the period the)9 pp+k o+c.e1oavct*vx :izep+x/y z greatest?

  Increasing the spring constant k of a mass-and-spring system causes whava7o3n,jy 2ttt kind of change in a,tvt2j 3oyn7 the resonant frequency of the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-rp3q8:fah 0b qspring system causes what kind of change in the resonant frequency of the system? (Assume no change in the system's sprrfb3q:hp0qa8 ing constant k.)

  Increasing the amplitude of a mass-and-spring system o*e5 jbzy4/ojh;mb 23z8 nqqncauses what kind of change in the resonant frequency of the system? (Assume no other changes in the system.)zjmzyj8/ 2 nb;*qh5o34n eobq

  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 s--hvkvm2 ;uqax ia9w 4tring of length L. For this sy v-m-a4i;9qa hv2uwxkstem, when undergoing small oscillations

  When the mass of a simple pendulum is tripled, thay kc:r32,3fj2 tkoj ne time required for one complete vibjotkf,c r2n: k33 yja2ration

  Both pendulum A and B are 3.0 m long. The period of A ia,ktw 9 nj7/umni0ue 7s T. Pendulum A is twice as heavy as pendulum B. What is the per,nwau/uj em9tni07k 7iod of B?

  When the length of a simple pendulum is tripled,899h9.g2 swpsn mlw fr the time for one complete vibration increases nmwg9 .fw2h98pl sr9sby a factor of

  What happens to a simple pendulum's frequency if both its length and mass are i( kopqp o*tclb48lv(elcp// 4ncreapv /p(l8*p(oqlk4 le4c/cbt o sed?

  Simple pendulum A swings back and forth at twice the frequency of simple ps5z*4;r5d z *vv ntm7 jy-ntryendulum B. Which stn js7tv* m5y-r z*d zv54t;rnyatement is correct?

  If you take a given pendulum to the Moon, where the accelera 5u-s o 1g2o ajot5*isxgkv:p8tion of gravity is less than on Earth, the reson vj2 xk:s8ggpoi*ut5-1aos o5ant frequency of the pendulum will

  Curve A in Fig. 11-1 1t 8 p7fa;ippwrepresents

  Curve B in Fig. 11-1 representdz*+4trr 4 slkx 08ufws

  Curve C in Fig. 11-1 reutgx9n4ucelpgk aa2( ( m.6r:presents

  For a forced vibration, the qi (9nljzj0:ue :+kcb/1 a yqzamplitude of vibration is found to depend on the

  In a wave, the maximum displ:jv7b k22xbn 3pe/kf;fxbeh .acement of points of the wave from equilibrium is called the wave's37kb;jvfneb f2/xex .p h:kb 2

  The distance between successive crests on a wp2yxzr(i 6r* jp5yf n am6xp4,ave is called the wave's

  The number of crests of a t: 6c*, jn8z:3kb v)vm wzkgdcwave passing a point per unit time is called the wave'sc:*bv gt vn: wkc6,38kdz)mzj

  For a wave, the frequency times the walsysb( n67e+a:3tfyct-a aj n(k25qgvelength is the wave's

  The frequency of a wave increases. What happens tikzrp;zrtcl gc lf)s815 r608o the distance between successive crests if the cs5tczpz0kilf8l r1 g 86r; )rspeed remains constant?

  A wave moves on a string with wavelength l and frequencyv y65h t.)nrwl f. A second wave on the same string hawyht5l v.6)rns wavelength 2l and travels with the same velocity. What is the frequency of the second wave?

  Consider a traveling wave on a string of length L, mass M, anpska(xz2 h +tp5vin2/ yk5khkf,90e nd tension T. A standing wave is set up. Which of thk y2k25za9pe xp,sh/ +ikfv5hk nn(0te following is true?

  A string of mass m and length L is underp 38*w - a6wv,sijzytr tension T. The speed of a wave in the string is v. What will be the speed of a wave in the string iyrjt*6vp was 8 -wzi,3f 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. Thej,1atso:t te) 4 m5fzf speed of a wave in the string is v. What will be the speed of a wave mt1 ze jf) f4o:as,t5tin 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. Theqq)tfh;*r-. k b :sodk speed of a wave in the string is v. What will be the speed of a wave in the string if the tension is*k tb.qq-do s)rfh;k: increased to 2T?

  In seismology, the S wave is a transverse wa0kbx -k* joyun(57o nave. As an S wave travels through the Earth, the relative motion between the S wave and tu oao*(n0kyb -75kj nxhe particles is

  In seismology, the P wave is a longitudinal wave. As a P wave t7loi3mns* rn /ravels through the Earth, the relative motion between the P wave and t mnsn/rl*37o ihe particles is

  The intensity of a wavehxq0+fcx8:xrpa qia k28, npeu34j7j is

  A wave pulse traveling to the right along a thin corducjbu8 y71/2a xm )rgh reaches a discontinuity where the rope becomes thicker and hea/xjm2uu h1r)g cyab87vier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each other on3ngczr*k b wfgai3:.4 a string, one is traveling toward the right and the other toward the left. At the point that they occupy the same region :gk 33.i4rngca*bzw fof space at the same time

  Two wave pulses pass each other on -0e jme-rrv/cnc*aady0: kl- a string. The one traveling toward the right has a positive amplitude, while the one traveling toward the left has an equal amplitude ir0c *avre-ajn /-edk-lmcy0 :n 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 string fixed at both ends, occurs whlmxuu1/h,yr9 en

  If one doubles the tension in a violin string, the )xwtv -m e0n-kt)bb x)fundamental frequency of that string will incre -wm)bk)v)bxetxt0- n ase by a factor of

  What is the spring constant of a spring that stretches 2.00 cm wer-p0oi8 4*wjje9ueu siex 7;nq6nc /hen a mass of 0.600 kg is sus8oe0e*ir7 s9-4i;ue/cwn u 6jjpqxe npended from it?

  A mass is attached to a spring of sprinn2d+1 fzasx8uh+ jkr2ap:wr) g 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 osciaa 22w8fr+ hkjd rn u:+p1szx)llating. What is the amplitude?

  A mass is attached to a spring of spring constant 60 N/m along a b em-mx2v.n7k 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 oscillat7k.-2 vmbemxning. What is the period of oscillation?

  A mass is attached to a spring of spring constant 60 N/m alon7blc)u.wp3xk)4 wuw wg 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 oscillationw.k w4 7uxwluc))3pw b?

  A mass on a spring undergoes SHM. It goes to8dk .2hcg0iu y g 7bgb28h5ofhrough 10 complete oscillations in 5.0 s. What is the pergy.og7ucbh88 5 fbkio2 2 0dghiod?

  A mass vibrates back and forth from the free end of an ideal spring of spring f dxp3 ;r1st5ed+b*to constant 20 N/m with an amplitude of 0.30 m. What is the kinetic energy of this vr;p detb5x 13o tfs+*dibrating 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; op u-mcguxd )2-yme; N/m along a horizontal, frictionless surface. Topm;ugxm-- )2yc e;udhe 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 energy is 8.0 J t)js uc77vo0j71 ajiqat this time. The mass is cut in half, and the system is again set in motion with amplitude 4.0 cm.io71c vq usjt77jj0a) What is the energy of the system now?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m along am2au9 8nfzgr9 horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed ofu9z 82an9m grf 1.5 m/s at the equilibrium position. What is the amplitude of vibration?

  A 0.50-kg mass is att deuaf8c2 7o6pached to a spring of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates f6a pdo72ceu8in 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 constanvb-*u 0zzt9fo(cm ho / e3r.kot 50 N/m and set into simple harmonic motion with an amplitudf0b(u.kvmc3/ t rh- o*ezzo9oe 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 constant 6mc-s-gzedzugtr*f0* rff0mj7s0 (p50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What isfu tgzjms0 fr06z-(7 cmger* pfd-*0s the total mechanical energy of this system?

  A mass vibrates back and forth from the free end of an ideal spring of (.8r o6 cnmx:ggshpi5 spring constant 20.0 N/m with an amplitude of 0.250m6o crs 58.ixgn: g(ph m. What is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring systeh4l0vng)l 3h*wk qs, dk5 7hfum 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 di uv5g ,0d3s4 qlnw*hk) 7lfhkhsplaced only 5.0 cm and then released?

  A 4.0-kg object is attached to a spring of spring constant n*fhn2er+ hw1 10 N/m. The object is disp1nwrn2 he+fh *laced 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 crpyglkyzed85v0 k3xn l/6 kk(ay78 n:onstant 10 N/m. The object is displaced3z6/v807n5ky :p(ke dx krlynylga 8k 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 consr5a+ax wa,:ojtant 18 N/m, displaced slightly from its x aar5 ajw,o+:equilibrium position, and released. What is the frequency of its vibration?

  A mass is attached to a sprc.j fkps+0l2,svsfy/ing. It oscillates at a frequency of 1.27 Hz when displaced a distance o0v+/2,yff sps sjl .kcf 2.0 cm from equilibrium and released. What is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to different springs. Mass A vibrates wivz ,a/kc 0mdc f/uqr+2th 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 compare to the maximum speed ofcrmu/ 2 z,qacv/0f+dk B?

  A 0.30-kg mass is suspended on a spring. g9p xpnvv0lq hu01*uh,e-pj, In equilibrium the mass stretches the spring 2.0 cm d0p1pug0 hv *9xu,v qnjhpe l-,ownward. The mass is then pulled 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 eqk7x t:hg90;dfcw/ :r;ft:x -enpzjqp uilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and rele;x9rf g/7pzq nwpkct:fh::tx0j -e; dased from rest. Calculate the total energy of the system.

  A 0.30-kg mass is suspen ap(j zo-+: dm/qx9trvded on a spring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional dista9/pm+ :z-qtxa djov(r nce of 1.0 cm down and released from rest. Write down its equation of motion.

  An object in simple harmonic motion obeys the followingele) 90e5sznrdv5 qx ( position versus time equation:vxl )e(nes50 9qzder5
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmoniya0 ze:,adnr4c motion obeys the following position versus time equaze4:d yna0r ,ation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic5nbhp7ly qx c a(kbb2 23,z/nx motion obeys the following position versus time equationb xh,bxz372b cy(nnpl2k /aq 5:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes sip0u3k01 kv *p nuyvo54uys*khl*n. wsmple harmonic motion accow 1s03kkuso0**nyupnv*.k hvu yp5l4rding 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 forc0 ,y,v e7kmwgy8v 3dige constant of 20.0 N/m oscillates on a horizontal, frictionless track. At t= 0, the mass is released from rest a y8dvg wy,0,m7e3igvkt 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 are its frequency , hz; phpm.1;in, tvbband period on Eahpivm.;tn bhp, b;1z, rth?

  A 3.00-kg pendulum is 28.84 m long. What is its period on Earth (6cosf k77pse?

  A pendulum has a period of 2.0 s on E .aemsaltw-z i+lo9owl( p*5. 9vxak1 arth. What is its length?

  The pendulum of a grandfather clock is 1.0 m long. What is its pe 1ink7+mkt/ 2wikuwbh(-hxkh5k5 y r(ib;e/g riod on the Eark 27wib-15gh m+nyk(w5 uix kkh t( ei/r/hkb;th?

  The pendulum of a grandfather clock is2kjvlhw2q6w ( 1.0 m long. What is its period on the Moon where the6vl2khw 2(qjw acceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg sphep7 / cqr3ohz3yrical 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 diameter sphere) had been attached to t7/3ypz q ho3rche string instead?

A simple pendulum consisting of a 20-g mass h1m9:c3l: r3pc viwiszas initial angular displacement of 8.0eri3z :mpwclsic9 13v: . It 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 atkfdu 4 7u23xrl: sb*pc a given time. The frequency of the wave is 120 Hz. What is the ampr u3fd7bxup2c:s*4 l klitude?

  Figure 11-2 is a "snapshot" of a wave at a8/ ijm4g - mhk ,yn5*toq6ledm given time. The frequency of the wave is 120 Hz. Wha o,kmngte6d-hml5*8 qi/yj4mt is the wavelength?

  Figure 11-2 is a "snapsh53ss2p: btzu1pqz,o v ot" of a wave at a given time. The frequency of the wave is 120 Hz. What issqt2v pz, so3bz:p1 u5 the wave speed?

  What is the frequency of a wave which has a period of 6.00);h m1nnrsu -k- 38ooz1 rddqf ms?

  What is the period of a wave with a fregc::ziv2 / jucquency of 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz and a wavelength of 3.dstjaq5a+y 3 *2d7iy l0 2d layda j 5s3yq+t*i7m?

  What is the velocity of a wave that has a wavelength of 3.0 m and 8r:dtge s :gj/y f)1lba frequency of 12 Hz?1 eyr )jdb: ggfst/8l:

  What is the frequency of a 2.5 m4tc4 1tsx ztha10yln4 wave traveling at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is under a tensic:c)1;d,+q r 0,uoy czklpdl ton of 1350 N. Whatcul;dc:qc0) 1zdyok ,plr,+ t is the wave speed?

  A string of linear density 6.0 g/m is under a tensia.2l+fzp+ jymfm)7r hx u(kx 2on of 180 N. What is the velocityf uxmfa2x2(l+r h. pkmy+z7j) of propagation of transverse waves along the string?

A wave whose wavelength is 0.500 m i xe:0a2*uijdm+nx+q:g(s uh: jfv -t ls traveling down a 500 m long wire whose total d-t:+ui(qe2ghj *ufamns lj:xv x+0: 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 of a transvji+nrlxh 3 -v faq- :9qsylw*3erse wave on a 2.0-m long string fixed at bovsw:lq9--f3rjxni + q h al3*yth ends is 200 m/s. Which one of the following is not a resonant frequency of this string?

  If a guitar string has a fundamentadyjqlazc,9., l frequency of 500 Hz, which one of the following frequencies can set the string into cdz .jya,9 l,qresonant vibration?

  A stretched string is observed to ha d)f3fg 3mdec3ve four equal segments in a standing wave driven at a frequency of 480 Hz. What driving frequency will set up a standing wave with fmf33fd)g3e cdive equal segments?

  A string, fixed at both 7 k8n9nd 1ipmkcthk;. ends, vibrates at a frequency of 12 Hz with a standing transverse wave pattern containing 3 loops. What freq 8i9kktp ch 7.n;mdk1nuency is needed if the standing wave pattern is to contain 4 loops?

  A string of linear density 1.5 g/m is under acnhte:mj6ig );4*ad k tension of 20 N. What should its length be if its fungm4tk ehc:*iajn;d6) damental resonance frequency is 220 Hz?

  Find the first three harmonics of a string of linear mass deu8ey yp crstu2q;v6fq2(+f0e nsity 2.00 g/m and length 0.60qur; tyu f 2ye pse0(c+8fq62v0 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 string vibrates atfn(btv *wr2 yk)y1c 6z a frequency of 85 Hz, a standing wave with five loops isk ynwcbvf1z( 26t) y*r 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.