The time for one cycle of a peri;js*f v)r4gdw: bjr +zodic process is called the

  For a periodic process, the number of cycles per unit pvt 0us: h.i 6ej.xle,time is called the

  For vibrational motion, the maximum displacement from the equilibrium point 2psq mss+gfrr8 9s2+cis called the p9s+2g2smq+c 8r srfs

  A mass on a spring undergoes SHM. Wh0tx cyqr;; .icm49p0csm ix 1oen the mass is at its maximum displacement from equilibrium, its insto;0spcc0myimt4ixqcr; 9.x 1antaneous velocity

  A mass on a spring unde(-5eoq/zyrv2tk,mzj6lfz n:7edm)d rgoes SHM. When the mass passes through the equilibrium position, its instantaneous velo:ez5de2nrf m z7omkz) (lqv/t -j6y, dcity

  A mass on a spring un-8wa:b d );wkx5kvafddergoes SHM. When the mass is at maximum displacement from equilibrium, its instantaneouswkaak :;-vx bdf58dw) acceleration

  A mass is attached to a v3 8i-m huikew z/jp67 z/xt+qlertical spring and bobs up and down between points A and B. Whe i+xp3ztjq-k e7h u6iwzm8//l re is the mass located when its kinetic energy is a minimum?

  A mass is attached to a vertical spring0fab u,wtc81 f and bobs up and down between points A and B. Where f,a8cfb01w ut is the mass located when its kinetic energy is a maximum?

  A mass is attached to a ver5i:udu;n wpk4 kl1ay1ae h*-w tical spring and bobs up and down between points A and B. Where is the mass located when its potential :*;kkwi451y andue ahulwp- 1energy is a minimum?

  A mass is attached to a vertical springwx8atev7 vpash(i / /, hzt;f0 and bobs up and down between points A and B. Wherex7,a/;z(e f8v t0ph/v hasitw is the mass located when its potential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-spribn-d4 11+i 4nsg oyuut x7hz*nwygx,0ng system produces what effect on the system's mechanical energyo s4xy1h*znuu7dxg4 -gn1ybit n, 0 w+?

  Doubling only the mass of a vibrating 1(ui e ydffts cl)p;e)x4c00amass-and-spring system produces what effect on the system's mechanid 0ftpe) xlc)1fi0 ( yuscae;4cal energy?

  Doubling only the spring constant of a vibrat pkpkho -/t/+ y;-nt1rl0yjx3rstu 9ring mass-and-spring system produces what effect on the system's mechanical enx +- prt3;krh10/rkynyps-l9jto ut /ergy?

  A mass oscillates on t7g,j3)dk8v1shhw .cm .v zypghe end of a spring, both on Earth and on the Moon. Where is the period the grvcd,pyg8 71hsk)gj3.h zwmv .eatest?

  Increasing the spring constant k of a mass-and-spring system cau) ,l et0r.,8wcjp:u g+gr;of kpejya /ses what kind of change in the resonant frequency of the system? (Assume no , 0rt:+jo,ea ;pj 8.wu) /kegcgylrpf change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system causes what h6q43 qn5degv kind of change in the resonant e5n ghv q346dqfrequency of the system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system causes whauij5 s 88r:bptt kind of change in the resonant frequency of the system? (Assume no other changes in the systeb su 88jt5irp:m.)

  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 wbez/gmq-7in27 vnte0 eightless string of length L. For this system, when undergoingg02v ibe7tm-n/q e n7z small oscillations

  When the mass of a simple pendulum is tripled, the t4tw kxr rn 5wo8(cb*.oo6shq7ime required for one complete vibratic7*wsxobrt.o on586 kqwh4(r on

  Both pendulum A and B +65t8fduj3 ,khq2 begbx ed4care 3.0 m long. The period of A is T. Pendulum A is twice as heavyx,ceu8bj+2 q5gdt3f4dkhe 6b as pendulum B. What is the period of B?

  When the length of a simple pendulum ishmax9 zu)bir 0s:8,wp tripled, the time for one complete vibration incrr smzai,x u8:)pb0h9weases by a factor of

  What happens to a simple pendulum's frequency if both its length and xivk,l82;x eeu3bv tk/ /gg4z mass are increasx t/g2 ;kvz3u bl4/ivexe8g, ked?

  Simple pendulum A swings back and forth at twice28 zl n n2h+6nktzx4 xfvvy2l) the frequency of simple pendulum B. Which statement ) x2n4xvl2tzn kzl8vn6+ f2yhis correct?

  If you take a given pendulum to the Moon, where j6wn j 9bn7owc8i:6z7 yf,kmxthe acceleration of gravity is less than on Earth, the resonant frequency of the pendu ,ojnmjb ww667ykiz:c8f7n x9lum will

  Curve A in Fig. 11-1 rolo4y ja7o)0o me5)pe epresents

  Curve B in Fig. 11-1 repres. gn px (rux9 epqu,u0olz:f2)ents

  Curve C in Fig. 11-1 represen. a4-hswgy,wgl vb6m3ts

  For a forced vibration, the amplitude . 4l umsxn0u* my5e9 maz*wwp6of vibration is found to depend on the

  In a wave, the maximum displacement of points of tf5myy;o:q(m fm ;o4o4au:d4ny 2y wrlhe wave from equilibrium is calledo44quaf dy;y:r lfomy(y2m ;45:m now the wave's

  The distance between successive crests on a wave is ca v cjac2cch/.ql* q51xlled the wave's

  The number of crests of a wave passing a point per:5-g 7blvbu o6ms9eho unit time is called the wave'seb6: mh-vo 5lo97u bsg

  For a wave, the frequ -5o6slldasrkjw 727w9 zyz3c 4lgju-ency times the wavelength is the wave's

  The frequency of a wave w) ps1+xlzc4x increases. What happens to the distance between successive crests if the speed remains 4x1s x )+lzwcpconstant?

  A wave moves on a stringo6pgqrcxgd.i)a 7sfk/;- 0lh with wavelength l and frequency f. A second wave on the same string has wavelength 2 g.cd7x ; ph)ir0-ol/fa6skqgl and travels with the same velocity. What is the frequency of the second wave?

  Consider a traveling wave on a string of length2 d:) 39c1rjwbsva-gmdtkd j 3 L, mass M, and tension T. A standing wave is set up. Which of the following is tructr3gbd)3 j9 1dvska-mw2jd: e?

  A string of mass m and length L is uvfi2b-55: n )zw yargander tension T. The speed of a wave in the string is v. What5frz:gn b-aw a)i2v5y will 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 rj ttna(u2(i9 bi 9xk;is under 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, wu(nbkix;( 9 jt a9t2riith no change in mass?

  A string of mass m and leng4bbb0tq2p8j,mn d6/a( ukt y mth L is under 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 tension ismtt8/4,0bp2yj 6n kmad( uqbb increased to 2T?

  In seismology, the S wave is a transverse wav(mo4m)j x6+bp 3nr dkme. As an S wave travels through the Earth, the relative motion betwe3d6o(b+jnprmx m4 m) ken the S wave and the particles is

  In seismology, the P wave is a longitudinal wave. As a P 3xlhs ik777b+ oymga1i*-lg twave travels through the Earth, the relative motion between the P wave and the parti-i 7li31h *77okgaxm+b yglst cles is

  The intensity of a wave is gk ,(xli8nu+ds; ,t 3pll1qe )6inqhh

  A wave pulse traveling to the right along a thin cord reo7v oi uxw4b;1b8- vhjaches a discontinuity where the rope becomes thicker and heavier. What is the orientathb -7bo j418xowi; vuvion of the reflected and transmitted pulses?

  Two wave pulses with equal hy(f9s 7v 4rb8* lxbjqpositive amplitudes pass each other on a string, one is traveling toward the right and t8jl( sh rfy b4xbv7*q9he 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 traveling tot,b o51z++2z y5 s/.njzxncgf( mptpdward the right has a positive amplitude, while the one traveling toward the left has an equal amplitude in the negative (.z npzf52mjty xb5/o++ 1ztns cgd,pdirection. 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, occursiqd,z2a6 .u cx when

  If one doubles the tension in a violin str+ cf(e9 kx-kcpntja0 /ing, the fundamental frequency of that string ak/ ntj(cpk+xf0c-9ewill increase by a factor of

  What is the spring constant of a spcj a.smk:1y/m 4b6bjr+xhtm+h 1up2s ring that stretches 2.00 cm when a mass of 0.600 kg is suspendek2as 1+yucxtjrpj4. m/b hsh+ 6:b1mmd from it?

  A mass is attached toa05 u1 on;nlkg 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;na k10 gun5lo 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 horizonil3 itt23. pzbtal, frictionless surface. The spring is initially stretched by a force of 5.0 N on the mass anl.tb 332pti zid 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 a spring of spri62gmz 545r x vtxf5pgkng constant 60 N/m along a horizontal, frictionless surface. The spring is initially stretched br2gz 5txpk5xv mg6f45y 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 osc*)i lc d+k5f+pu iye4killations in 5.0 s. What is the perd+ fki 45ek+u*cy)pil iod?

  A mass vibrates back and forth from the free end of an ideal spring ofk ben2of8l z3d+q7o )s spring constant 20 N/m with an amplitude of 0.30 m. What is the kinetic energy off7 +lk82z3)doqoesbn this vibrating mass when it is 0.30 m from its equilibrium position?

  A 0.50-kg mass is attached to a r35x 32ozxx m t65udfwspring 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 eqwx3d 32 56 uxtz5mxrfouilibrium position. What is the total energy of the system?

  A mass undergoes SHM with amplitude of 4 cm. The energy is 8.0 J at thb ddn:p-* w05b6 ;jg:i crcihcis time. The mass is cut in half, and the sysb;wb 60rjpc-ccdg h id5n:*i: tem 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 ofd-staqg 7udk0/t+dc juj+uy(8 (u8ci spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple har+jug j/dcqs8 dtuuycd7atu-0 k((i +8monic 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 too (-r cm)uvy-b a spring of spring constant 20 N/m along a horizontalrb-oymuv c )(-, 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 the same?

  A 2.0-kg mass is attached to the end of a horizontal spring of spr hm3w,/f qry xlk:j i(jv.-:juu3*tubing constant 50 N/m and set into simple harmonic motion with an amplitude oq mi/ r.ju w*3htv: jb k3:flx-(,ujyuf 0.10 m. What is the total mechanical energy of this system?

  A 2.0-kg mass is atta j2gqf/ rgcdc9ew.-r,ched to the end of a horizontal spring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the total mechanical energyeg c j,rr2d.q9cg- f/w of this system?

  A mass vibrates back and forth from the free end of an ideal spring of sprip) ;5 rvz5; cwjyis;ipng constant 20.0 N/m with an amplitude of 0.250 m. What is the maximum ki5;jiscpz 5;r;v)y wpinetic energy of this vibrating mass?

  The mass of a mass-and-spring system is displaced 10 cm from its ex0 z g ihz*7nmobl-v92quilibrium position 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 thnl7 h92i-v z*mozgx b0en released?

  A 4.0-kg object is attached to a snv-(qo ap6x94soz wim lak66 v -8)v +on/xzlspring of spring constant 10 N/m. The object is displac s-ov+z 64/8aoo(pq9)szvmn xnvw6x -6lliak ed 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 constant 10 N/m. -t8+qdpp l mtt9:vl99gx qph+The object i q9gmd:tp9qt+ 8vp 9hpl-+tl xs 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 0kg3un9x 81 mgmnue*oo50+emrixcl ; spring of spring constant 18 N/m, displaced slightly from its equilibrium position, and released. What is the fr00mmoelnx5+x uki81*;3gg9 roenum cequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequency of 1.27 Hz whenkwt6 wsh;pg7 :5j(gdc displaced a distance of 2.0 cm from equilibrium and released. What is the maximum velocity attained jkhwd6sp :wg(7 ;t cg5by the mass?

  Two masses, A and B, are attached to different springs. M prgqsbay131 ms96zi0ass 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 does 3 sy0r p11sbiqa6gz9mthe maximum speed of A compare to the maximum speed of B?

  A 0.30-kg mass is su 7c+h3opcyuo /spended 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 released ch73co +o yup/from rest. Calculate the period of oscillation.

  A 0.30-kg mass is suspendpu5*:0, v4j olfa0g klyozws( ed 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 released from rest. Calculate the total energyv(j0fyg : *sklo lp aw,uz0o54 of the system.

  A 0.30-kg mass is suspended on 9ik3xqq :jrj h*jpdgjnzc:+ 16 *ef( ta 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 fr k +3 jtnjdejqh*c*16:9:xprz (fqgijom rest. Write down its equation of motion.

  An object in simple harmonic motion ob2 8yck5cbwt; seys the following position versus time equatio;sy 82tb5cck wn:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmoni n ) 83;z4e :bwv qbbvw;u-k4n nf*zfb4g8gjucc motion obeys the following position versus time equationbz:qgww- j4;k uv4uc;3 4 v gb)bne8ff z8*nbn:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the followin 9pq(g1 lvizuw:am:.ag position versus time equaavm.p(wa:lg1 u z9i q:tion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple harmonic motionlcin; jpec/ zj+el,e 9j6y*; wddy;u 0 according to tyu6ej /icl*j0we ;z;+pdjcel 9;nyd, he 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 f52m aq. xt0rozorce 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 spring is stretc52. q ma0rtozxhed 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 frer0:b c5 3r-dnsmraq +puf-z2vquency and peri -q5ca3zbm uf2r 0:sv-+rrn dpod on Earth?

  A 3.00-kg pendulum is 28.84 m la bmswk4sn/)*vy7 rq41bly:o ong. What is its period on Earth?

  A pendulum has a period of 2.k3 zqc2 kqf-1z0 s on Earth. What is its length?

  The pendulum of a grandfather clock is 1.0 m long. What is its pe,id m18xyc kq5riod on the Eak,y1i5m8 qx dcrth?

  The pendulum of a grandfather clock is 1.0 m long.: qm;gx3 fc-0/,plkdtst,e x-3cras j What is its period on the Moon where tx,dkxp -3 qa s t3lfc-/0 ;m:stejr,cghe acceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attached to: gjr8rah,d0 b 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 d b,0:8ahjgrrmass (same diameter sphere) had been attached to the string instead?

A simple pendulum consisting of a 20-g mass has initial ang2hcbl:k v: 9b3rqzve. ular displacement of 8.0e. Ibb9 hz l 3re.vqvc:2:kt 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 at a given tim gjq53y7a:0cekrjec3bl, :uie. The frequency of the wavg:r :a,ukb yce30qec 7 jli5j3e is 120 Hz. What is the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given time 2,umk; r rtm.a.z bl2k-gkit). The frequency of the wave is 120 Hz. What is the ),umb2 i g;r 2zkkr.l.atkm-twavelength?

  Figure 11-2 is a "snapshot" of a wave at a gi 6g1.alw/tomg4o. 4kxxi 6tjs ven time. The frequency of the wave is 12xmk.tg o4j6a6l ix. 4s/go1tw0 Hz. What is the wave speed?

  What is the frequency of a wave which hasw xjai,g o+, wm/j,yu; a period of 6.00 ms?

  What is the period of a wave with a frequency of 1500 Hz9.krwe-k- d8 pxq;):ywixobg ?

  What is the wave speed if a wav/gl4xl e- sihux .dn,5le(q2ne has a frequency of 12 Hz and a wavelength of 3.0 m?ih/ ue g-exxsln5( ,n.l2 4qld

  What is the velocity of a wave that has a wavelength of 3.0 m anob9k,tf4bylf wut . /r ;lh*h0d a frequency of 12h*4/b t9;lhrkblf ,o.u0fwty Hz?

  What is the frequency of a 2.5 m wave traveling at 1*ll+y dpx; dtn 6i *21 vpz/(qediwn5j400 m/s?

  A piano string of linear massq f-- dr6qem2q density 0.0050 kg/m is under a tension of 1350 N. What r6d2q --qef mqis the wave speed?

  A string of linear density 6.0 g/m i .c5vuw4 uluao ct/4d.s under a tension of 180 N. What is the velocity of propagation of transverse waves along /a odcu44. wct.vul5 uthe string?

A wave whose wavelength is 0.500 m is travelit- ddv.j al5xqe -q3x0. kgtd+ng down a 500 m long wire whose total mae +xq gl0add q t.-kxv-jt.3d5ss 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;ztj)g-v2t on of a transverse wave on a 2.0-m long string fixed at both ends is 200 m/snzt2)tgv ; -jo. Which one of the following is not a resonant frequency of this string?

  If a guitar string has a fundamental frequency of 500 Hz, which onemw wg27r1pc*omo,n 6 osfe9f2rt-e6a of the follow* m7tasgn rprom 6 ,1 2ef2fcw6oew9-oing frequencies can set the string into resonant vibration?

  A stretched string is observed to have fx jj)0jnzwk+- our equal segments in a standing wave driven at a frequency of 480 Hxj j)kz+ nj0w-z. What driving frequency will set up a standing wave with five equal segments?

  A string, fixed at both ends, vibrates at a frequency of 12 Hz with a*cy0 8h ;7cc6lxw usqk2*p gyx standing transverse wave pattern containing 3 loops. What frequency is8 * k shxpq*;u6y x0y2cc7gwcl needed if the standing wave pattern is to contain 4 loops?

  A string of linear density 1.5 g/m is under a tension of 20 5ahb:3ehx q.u N. What should its length be if its fundamental re 3e5q.u:ahb xhsonance frequency is 220 Hz?

  Find the first three harmonics of a string of linear mass dei z;g-(0*u u-heyh,f;cjvmkw nsity 2.00 g/m and length 0.600 m when it is subjected to tensiozueg; ckj ;* hyi, wf-0-um(vhn of 50.0 N.

A string of length 2.5 m is fixed at both ends. When the string vibrb6y:a4gi c-vkpkohq8g 1h0d+ates at a freque v6+-c8a hy 4qkipdkgb0o:h1gncy of 85 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.