The time for one cycle of a periodi-z.uf;0dr+erym ly(v dnd(- mmd eb:3c process is called the

  For a periodic process, the number of tt8zo, l) 9yz0ablqi u.x58jvcycles per unit time is called the

  For vibrational motion, the maximum displacementnl 6qlod6 )nk7 n1q.dx from the equilibrium point is callon6n. 6q1 lq7l) kxddned the

  A mass on a spring un8t9,rjgopq n* dergoes SHM. When the mass is at its maximum displacement from equilibrium, its instantaneous velocitqnt ,org pj9*8y

  A mass on a spring underg3e sv/k r b;9)o2lwudngs)b2ioes SHM. When the mass passes through the equilibrium positionlr e ob)2d s3s;2bv)igu/k n9w, its instantaneous velocity

  A mass on a spring undergoes SHM. When the masshxz+ d w-46r9sqna k4w is at maximum displacement from equilibrium, its inh xasd6 wwk49nrz+-q4stantaneous acceleration

  A mass is attached to a v/ zp06 c(i,tcw)bkljjertical spring and bobs up and down between points A and B. czj/ljcbw,k( ti0p6 )Where is the mass located when its kinetic energy is a minimum?

  A mass is attached to a verti hjqdvv;6w::4 t, e/ea vd:kwyiy3zg 7cal spring and bobs up and down between points A and B. Where qd d /v: i gkyv:73ay:z,wje 6t4;vhweis the mass located when its kinetic energy is a maximum?

  A mass is attached to a verti5-z/oc5 ej yvacal spring and bobs up and down between points A and B. Where is the mass located when its pote5/co veayj-5z ntial energy is a minimum?

  A mass is attached to appr/lmfwf.1 (sr/wh 8 vertical spring and bobs up and down between points A and B.l p(. //rfmh18pws fwr Where is the mass located when its potential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-spring system produces wha.2:,b/ m:gtcfq oukuhyp2v0rjk n:b0t effect on the system's mechvf y c0mgn/2h,:.2k0 rk:otj:u bb qupanical energy?

  Doubling only the mass of a vibrating mass-and-spring system prgy0+fapk+7no kd6cm-a5y z4 moduces what effect on m+54n fkaa- ozcm7yypk+d g60 the system's mechanical energy?

  Doubling only the spring constant of a vibratingeyvc/9s ((vg0u-j yl v mass-and-spring system produces what effect on the system's mechanical ener/(uve sl vy 0jc-v9yg(gy?

  A mass oscillates on ti+7fqv; mehp(p67 fwb he end of a spring, both on Earth and on the Moon. Where is the p76q he+bmi fw(fvp 7;period the greatest?

  Increasing the spring conbbw+ tp)(kg ,cstant k of a mass-and-spring system causes what kind of change in the resonant frequency of the system? (Assume no change in the system's ma+bb g,p(tc w)kss m.)

  Increasing the mass M of a mass-and-spri.:oo05s fea3c/x xs0ig0mc zing system causes what kind of change in the resonant frequency of thi0xm 0i5 z 3ec/.gsaxcfo os:0e system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring systemu7 l 7vekek/ -lq3k8ub causes what kind of change in the resonant frequency of the systeuk ee377vlk buq8-/lkm? (Assume no 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 weightless string of - hcb rd;jew* pq(x+( asd67ullength L. For this system, when *e;splcw(7ur 6q hx(j-b +dd aundergoing small oscillations

  When the mass of a simple pend/nmt,,so0xh b p11a suf*:aukulum is tripled, the time required for one completeuks m0ath/:s1 a,ux fbo pn*1, vibration

  Both pendulum A and B are 3.0 m long. The period of A is T. Pendului43r: ed1zf 9vtahrs 98 kaxk*m A is twice as heavy as pendu9krh8 3:zr9e*xvd1istk4af alum B. What is the period of B?

  When the length of a simple pendulum is tripled, th7:xsseq e(.hxd8(y 5xa dhrv0e time for one complete vibration increa.y8d7q(hxx0 evdr :a(x se5shses by a factor of

  What happens to a simple pendulum's frequency if both i3m/ (iic,ptz cts length and mass are in( i,/zmic3ptccreased?

  Simple pendulum A swings back and forth at twice tzf6s;0ar z4u b n y3ucagk14(mhe frequency of simple pendulum B. Which stateme6b(;3ykuunrzfzm 0ca ga 4s41 nt is correct?

  If you take a given pendulum to the Moon, where the acceleration of gravitwh 79, i( bvidl:yu 3nqbgik;1y is less than on Earth, the r:n(vq;bu, iydl3 i9gbhk1iw7 esonant frequency of the pendulum will

  Curve A in Fig. 11-1 represf2j c6 qin:v;havn4y ,ents

  Curve B in Fig. 11-1 represeo/3qlew 57tcu *zegpal8x, t0 z2s,di nts

  Curve C in Fig. 11-1 reprev t-6 jb 6dgr/xdtz4o0sents

  For a forced vibration, the9i2w qhlfqm2* amplitude of vibration is found to depend on the

  In a wave, the maximum displacement of points of the wave from equilibrium lcq5v2 /el2v5wss u :jis called tqv5w 52s2/:eslj vcu lhe wave's

  The distance between successive crests on a wave is called /jas rn*zyp2:8jvi 27hrv)cx the wave's

  The number of crests of a wave passing a point per unit time is called the01l bivthy2*f wave't *vfihl1yb20 s

  For a wave, the frequency times the wavelength i//lr y1 nfv0s3vuyoa 9s the wave's

  The frequency of a wave increases. What happens to the distanuwc- )b/n9k5bj5 glujx( x +fx1h +8c,hwwtf yce between successive crests if t 5whxy-f+/j8 nx)g c(xlhjkt 9w ub+wcb,u1 5fhe speed remains constant?

  A wave moves on a string with wavelength l and frequency f. A second wa5vo3 ta0x p0ex6zw -fove on the same string has wavelength 2l and -va 3xf6ozw5o0pte x0 travels with the same velocity. What is the frequency of the second wave?

  Consider a traveling wave on a string 0k d7cl v51ymnhc+wwf,t 6vi(of length L, mass M, and tension T. A standing wave is set up. Whih+vtk(dvwicf0m 7,cy15l 6wn ch of the following is true?

  A string of mass m and length L is under tension T. The speed of a w7sew qf/xju +w;7hqa 9sm) j9save in the string is v. What will be the speed of a wave in the string if the mass of the string iseu+7m9 wxs7)/q; s9jq jfshw a increased to 2m, with no change in length?

  A string of mass m and length L is under tension T. The sz0v0on-no mnin4( h /zpeed of a wave in the string is v. What will be the speed of a wave in the string if the length is increased tov hi4/nz0 ( onnmz0-no 2L, with no change in mass?

  A string of mass m and lengj)r s0qe5uzder ( oop9*nrx (7nwso2(th 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 is increased to 2 5z9xno27 0o essjo)e(qrur*(r(nwdpT?

  In seismology, the S wave is a transverse wave.l.ivc)/s gn m,v2 )swg As an S wave travels through the Earth,,. gs)vlnsw )m vi/gc2 the relative motion between the S wave and the particles is

  In seismology, the P wave is a longitudinal wave. As a P wave travels thr,jca1 gva8ks/tym f .b1+, ujcough the Earth, the a .cu g+18,cv,ykfm jsj ta1b/relative motion between the P wave and the particles is

  The intensity of a w gwebjcd l36*fm1mwe 86*nj9have is

  A wave pulse traveling tofe 7*zfq 5b/pvhw;2em the right along a thin cord reaches a discontinuity where the rope becomes thicker and heavier. What is the owfe ;hbfvq* z2m7ep5/rientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes omi:c,:p)nqh+5 zzpq h9pu ; ypass each other on a string, one is traveling toward the right and the other toward the left. At the point that the 9zp,;h 5p q::mpy)h+zqicuon y occupy the same region of space at the same time

  Two wave pulses pass each other on a string. The one traveling toward )e+,swxph 0igthe right has hps g 0xwe)i+,a positive amplitude, while the one traveling 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 string fixed at both ends, occurs whenufi)o)j 3ijew -of6)s

  If one doubles the tension in a violin string, the fundamental freq iuo pmmus(ar08/1h9ytf q75euency of that string will increa09 hoef1 pu/r7aq5imy8( tsmuse by a factor of

  What is the spring constant of a spring that stretcheab/c7gt jn1w+s 2.00 cm when a mass of 0.+an g/wjtb7c1600 kg is suspended from it?

  A mass is attached to a spring of spring conswxf-wvlah68l0oj ) v)clje dby2:,w0 tant 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 tdj y0:l0 vhxfbvowwl)8c6lj ,2 e) a-wakes the mass 0.50 s to go back to its equilibrium position when it is oscillating. What is the amplitude?

  A mass is attached to a sprin xktwz5 +3ibd9i,yvsn9 -hss4 g of spring constant 60 N/m along a horizontal, frictionl99ysz sivt3dib,k+5 4wn- h xsess 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 of oscillation?

  A mass is attached to a spring of spring constant 60 N/m along a horizontal, gcr,.p3 ml u)gw;4t wlfrictionless surface. The spring is 3l l;m)w.4upwrcgt, ginitially 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 6 cupc6:/ oqdacd3-l-wpoud*6z;ya xscillations in 5.0 s. What is the 6a q; pczu:da /y3*c-d 6w6pc-ludoo xperiod?

  A mass vibrates back 8jmj :jmm:x07( qzh hxpa,; rpand forth from the free end of an ideal spring of spring constant 20 N/m with an amjzp 7 8m :j0 ;jmaxp:,mr(hxhqplitude 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 20 N/m along a zf m -f2sbnihqa 3 causk-no9292a0)g3v7kkhhorizontal, frictionless surface. The object oscillates in simple harmon9ha3skaas 7 kfng ) 2i2-qk0hf39cv zo2nu-mbic 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 u7bcc- m -rqyrl(7ql *g*dmb3 cm. The energy is 8.0 J 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 energm3ulq-m(q ydrcbc*-7 *bg7r ly of the system now?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m along a hovlb.2o 6kfnq6rizontal, frictionless surface. The object oscillates in b2qfl6ovk.6n simple harmonic 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 atu67vqf8s m4nhu+m)vgv9 d h b/tached to a spring 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 e9muv b+hfu/d vnhv87 s) g6q4mquilibrium 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 spl0)84dnqi c+2io7vj,,l lzymji/v u pring constant 50 N/m and set into simple harmonic moi+/jp ljui ,yi 7l24z0vodvl8mn,c)q tion 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 ju+ywu*pq t i:s+8be2 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 mechanicab+ wtyeusjq2i8+*p u:l energy of this system?

  A mass vibrates back andudu4l0 5mt jeaf;hg42 forth from the free end of an ideal spring of spring constant 20.0 N/m with afdjg4t4u2umhl5 ;e0 an amplitude of 0.250 m. What is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring system is displaced 10 cm from itp 4pd1dni uj )k.hc2bd40hitis*0 d t2s equilibrium position and released. A frequency of 4.0 Hz is observeskd.i0nh uddb2 pi4d t1tp4 h *j02ci)d. 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 consta h4vc8o g:b(vewoyi f42*402kv plrra nt 10 N/m. The object is displaced2y vkvva r :gfo2w04b8l(*orep4 hi4c 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 consta71r;:mg7vb17 frkzyt* dap b f -:fhzqnt 10 N/m. The object is displa7dp z7 vr*mft qz:-fyak:;b7hf1rg 1 bced 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, displaced slig7 )gtoh/) ok n h/ijc956uifewhtly from its equilibrium position, and released. What is t6ni )ef9 c/t7kgou/joihw)5 h he frequency of its vibration?

  A mass is attached to a spring. It oscillatoy 5dfr6* /oczes at a frequency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and relea6 y/5forcz do*sed. What is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to different springs. Mass A vibls+: eis +9mmp;nmi x+rates 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 maximum speed of A compare to the maximum speed of B m p:e l9i+s;mn+msix+?

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass stretcu-y rcfz2klum6t 221 phes the spring 2.0 cm downward. The mass is then pulled an additional distance ou22muy6pktl 1r f2-c zf 1.0 cm down and released from rest. Calculate the period of oscillation.

  A 0.30-kg mass is suspended on a7ehcmu *p3v*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. Cal*vecapu m*73hculate the total energy of the system.

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass str:-hws,g9o ;:da:vdqld c cl*ietches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and rei9 olg: hdddc,lw-av:*q :c s;leased from rest. Write down its equation of motion.

  An object in simple harmonicqf70 akd-d3 v j0i1llgadfv (, motion obeys the following position versus time equatij0ag1flql dk7, 0fv d a3-v(idon:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obpy(mx q4)y70o fby6nueys the following position versus time equation mx(npyb60yyf7q 4)uo:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following position v6j 9 ;3kufsomoersus time equati9j o fmu3s6;koon:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes-m u2ya0 cb*vq+1xxg q simple harmonic motion according toxgq-2v mca xby +*0q1u 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 force constant ofm0)/2stfjmu zh(9j +dtu jg9 n 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 stretched by 10.00 cm.0 j9n9m)2(h/ttfjgz sju+u d m)
(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 swgj );.oc9.snq qgt+c z/ad ty9ings in 8.0 s. (a) What are its frequency and pea/. ; )ds9cyctz gqgt+noqj.9 riod on Earth?

  A 3.00-kg pendulum is 28.84 m long. What is its perioy *f,1aru oex6d on Earth?

  A pendulum has a period of 2.0 s on Earth. What is ipp-or1 2hol 2. isql8p+jex4 ats length?

  The pendulum of a grandfather clock is 1.0yvsq0b m.f0ln of1+j.klwah4 3g vl(4 m long. What is its period on the Eamh okvlw fq.f(31sj40g +yll nv4a b.0rth?

  The pendulum of a grandfather clock is 1.0 m long. What is its period on rwiu(5;l anh9the Moon where the acceleration due to g;aui (nhlr 95wravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg sphe.upj7f a2e4hz rical 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 hu4zej 2p7. hfaave 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 displac1yqy l.vwl t15ement of 8.0e.wyly1v51lt.q 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 ke18yk wy93kagwlu3d 6k9f: p 5jzt*t a wave at a given time. The frequency of the wave is 120 Hz. What is the amplitu f9gka* :ly5k891kuwtj6y3d zt ewk3pde?

  Figure 11-2 is a "snapshot" of a wave at a given vi;nwzzeph(5nnqx(jdzz: 5q s;j6 *1time. The frequency of the wave is 120 Hz. What is thejsd;p(i; zn5 qzxqw 6v:*z(jn5z1 neh wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given time. The f-mpl)m(q, xs:z ggs 5/pnb,lprequency of the wave is 120 Hz. Wh:p,sm splp,l qmnz(b5gx )-g /at is the wave speed?

  What is the frequency of a wave which has a peris wvdz88ip4.*zom)v,l jqou 2od of 6.00 ms?

  What is the period of a wave with a freqo0lg4+f1f lm0m mhi6 kuency of 1500 Hz?

  What is the wave speed if a wave has a fn3lfky 70as.urequency of 12 Hz and a wavelength of 3.0sl. u n3afyk07 m?

  What is the velocity of a wave that has a w dnbj/ky3,,deavelength of 3.0 m and a frequency of dn3jdby ke ,/,12 Hz?

  What is the frequency of a 2.5 mv7o9h /l izm,o wave traveling at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m y)h iz+g7i,fr is under a tension of 1350 N. What is the wavr7z+g,i i)yfhe speed?

  A string of linear density 6.0 g/m is under a tension of 180 N. What is t6z .jvhhd t;8jhe velocity of propagation of hz86;hvj dtj. transverse waves along the string?

A wave whose wavelength is 0.500 m is traveling down a 500 m long wire whose tp(kb7 /w4 a(nvnc+wg qotaq/c7wn(4w(b pgvank +l 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 transverse wave on a 2.0-m long string fixey-)e7x t;kfk xt7 9nvyd at both ends is 200 m/s. Which one of the following is not a rx k7; yxy-tte)vf n9k7esonant frequency of this string?

  If a guitar string has a fundamental freque:0z d;o du5lcs7pu: pyncy of 500 Hz, which one of the following frequencies cu7z cy :;5 ulpd0dso:pan set the string into resonant vibration?

  A stretched string is observed to have four equal segments ia 0:ejy;rvm d/n a standing wave driven at a frequency of 480 Hz. What driving frequency will sr/d;e jmvy:0 aet up a standing wave with five equal segments?

  A string, fixed at both ends, vibrates at a frequency of 12 Hz with a standingga,a( ; c*,i y k*+cfxuhdh-mg transverse wave pattern containing 3 loops. What frequency is needed if the standing wavc*m( ag,khdiyux*g- h , caf+;e pattern is to contain 4 loops?

  A string of linear dex a uj502a-bgwnsity 1.5 g/m is under a tension of 20 N. What should its length be if its funw ax 0j-gbua52damental resonance frequency is 220 Hz?

  Find the first three harmonics v( p2gt0ip /ve7/dpfzof a string of linear mass density 2.00 g/m and length 0.600 m when it ig0dzp/pf v/i e(7 2vpts subjected to tension of 50.0 N.

A string of length 2.5 m is fixed at bothk/m 4ttw /fx:8cu k3i h,gp/:ju9abmz ends. When the string vibrates at a frequency 9/aib/ ::j /fktx4zwtmcmu3pu g,k8 h 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.