The time for one cycle of a periodic .ddyps ce)ui6 zfb6 */process is called the

  For a periodic process, the number of cycy/: 2gpohiyw ;les per unit time is called the

  For vibrational motion, the m1ud( ta4 7yv:dtfvwr5aximum displacement from the equilibrium point is called t 1 4ravttf(:5uywdd7vhe

  A mass on a spring undergoes SHM.w 5o1fe3sxkk+2 ;ow sg1oht6y When the mass is at its maximum displacement from equitoof1 + xhy6kow;52kgws 13es librium, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass passes throj is. ,g y.w*qgv:z1ydugh the equilibrium position, its instantaneous velocit.gy1*d:v w,ij y zsqg.y

  A mass on a spring undergoes SHM. When thefu1es2 sp8hn* mass is at maximum displacement from equilibrium, its instantaneous accen82p1ue s*hsf leration

  A mass is attached to a vertical spring and bobs up and down be(cquf0 wvh+ lq* x u(fhyg0r):tween points A and B. Where is the mass located when its kinetic energy is a minimw(xu0 *r+0hfcqhv yfl) g u(:qum?

  A mass is attached to a vertical spring and b1gxu vq/n) g-.r 8kuvikj+4z gobs up and down between points A and B. Where is the mass located when its kinet vugk)/ g+xjr.k-gu4v8 1iz nqic energy is a maximum?

  A mass is attached to a vertical spring and bobs up a pb+w3,.(jmwcbnest 9 nd down between points A and B. Where is the massbwc.,(s nwbt m9j3e +p located when its potential energy is a minimum?

  A mass is attached to a vertical spring a4tl62ghy 9 -juwfdoy*nd bobs up and down between points A and B. Where is the mass located when its potential elf- 9yo 6d2wyht*uj g4nergy is a maximum?

  Doubling only the amplitude of a vmoah(8hrdo ) (i 74ysmibrating mass-and-spring system produces what effect on the systod(myo as) h78mri(4hem's mechanical energy?

  Doubling only the mass of a vibrating mass-and-sprinf i:h5r- cvv 1gz00yyh)n8echg system produces what effect on the system's mechanical0h105hyrvei:gf)- c8 cyzvh n energy?

  Doubling only the spring constant of a vibrating mass-and-sprw/c 0 xzh/c:ph:;+ttxi(u praing system produces wh:z( / :ph+hutt0/wpr;ci xx acat effect on the system's mechanical energy?

  A mass oscillates on the end of a spring, both on6pmq9rv6u,;ho*x z w s Earth and on the Moon. Where is the period the o96qz m ;u6sw x*h,pvrgreatest?

  Increasing the spring hw)bb(j zo z ,nk3s2t0 ypt34xconstant 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 mass 3 ,o zwztnyxs3 ()bt40hpk2j bm.)

  Increasing the mass M of a mass-and-spp5 hu; ,l-6cqjob *4ofkt1bo8gczw j9ring system causes what kind of change in the resonant frequency of the system? (Ascl 9ughofw6 bj8pt 1o,kbc zj*4qo-5;sume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-e4)/ j8h( lmogbvjb wg-/e2a:0ovdrpspring system causes what kind of change in the resonant frequencjo420:bo lgrb)em/ dp (a/v8veg hjw-y of the system? (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 consqxp4t 4ja569a0-k+urzd jr maists of a mass M attached to a weightless string of length L. For this system, when undergoing aj+ - rm4t5 0dxaq6 zkp9j4rausmall oscillations

  When the mass of a simple pendulum is tripled, the time required for oyv6lvlht/,/lmtr;m zo 5 o ,6xne complete vibratzv,hlxlyr 6tvo ; 6om5l/mt/,ion

  Both pendulum A and B are 3.0 m long. The pehwt5( :oy6c/vbnn5 sb 7nt.rfriod of A is T. Pendulum A is twice as heavyb 5w:onn cfv7 hsn6.t(/y b5rt as pendulum B. What is the period of B?

  When the length of a cetvo0r,3va/m6lp 0b simple pendulum is tripled, the time for one complete vibration increasesaovv60 ctb ,rl p/m03e by a factor of

  What happens to a simple pendulum's frequency if b 5mwclxfwh,z(ba :k72oth its length and mass are increaseaz cbl:,x57mw (2fwhkd?

  Simple pendulum A swingsgo;0q5 ql znwht4u1u) back and forth at twice the frequency of simple pendulum B.zqu ;l5oh)0 gwtq4un1 Which statement is correct?

  If you take a given pendc tbw0imk09*hplj16 sulum to the Moon, where the acceleration of gravity is less twjsk 0l6th0m 9*pc1bihan on Earth, the resonant frequency of the pendulum will

  Curve A in Fig. 11-1 represents f1m0v9dad :9 bazchc,

  Curve B in Fig. 11-1 rep fjrj4a,h) h4sresents

  Curve C in Fig. 11-1 recbdv-ja9z6c76 s4pvbpresents

  For a forced vibration, the amplitude of vibration is)l2zynl 9 p*be found to depend on the

  In a wave, the maximum displacement of points of the wavj17ksjgk yq 23 neom8b6.*frbe from equilibrium is called the wab7*ngo2 yr e qkj 6.kf831bsjmve's

  The distance between successive crests on a wave isyhi),.j qy3x y called the wave's

  The number of crests oz m8zc ibg3z7y(*1j osf a wave passing a point per unit time is called the wave'omzjz7( i*gcyb z1 83ss

  For a wave, the freq8lugl,y:.ygy qxu8z7 uency times the wavelength is the wave's

  The frequency of a wave increases. What happens to the distance between succes0 p-72 p4pfss0embw mk 4jpw/xsive crests if the speed remains constax pbp2j4mks /p4s7m pfww0-0e nt?

  A wave moves on a string with wavelength l and v ),u8qzpz;wyfrequency f. A second wave on the same string has wavelength 2l and travels with the same velocity. What is the frequency of the second zuqy;wv,) 8 pzwave?

  Consider a traveling wave on a string of length L, mass M, and tension T. 6e qcpbet-b+6 A standing wab6 pte -6bc+qeve 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 wavyzc i fk1;m5ue jd7e5b yf9:p+e in the string is v. What will be the ;+czpd5y f9ubjyef7m: 1 5keispeed 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 is under tension Tkyy2w 3wmg u-0z0* bpm. 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, withy *k0p2 ywgbum-wz 0m3 no change in mass?

  A string of mass m and length L is under tension T. Thesw47 qrsi +y 5xo-f4rl speed of a wave in the string is v. What 7xwosrrs4 +f yi-4ql5will be the speed of a wave in the string if the tension is increased to 2T?

  In seismology, the S wave is a transverse wave. As an S wvr:q+ nbbk, (t:, sxc y,fsog*r3i*ijave travels through the Earth, the relatcif +,(nrsx:,*,:3sy rkbo j vbiqt*give motion between the S wave and the particles is

  In seismology, the P wave is a longitudinal wave. As a P rt02c6m) 9r rgmrhwb t4 yv8/zwave travels through the Earth, the relative motion between r/t 2v) 60ym 9mbh8zcr4trwgr the P wave and the particles is

  The intensity of a wavett wt7ch+m 06s.mn+ dua ot 21yq*j4sn is

  A wave pulse traveling to the right along a thin cord reaches a disco7dz bawqd1 jg122.knu9 .xfvintinuity where the rope becomes thickev1uwd9id7 g.af 2 2bx.qjznk 1r and heavier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes passu;;pp604gorb bebep( each other on a string, one is traveling toward the right and the ;e6 04p(brpb;po gebu other toward the left. At the point that they occupy the same region of space at the same time

  Two wave pulses pass each 0aq qa+4ize2s8k 5*.zvsdsi sother on a string. The one traveling toward the right has a positive amplitude, while the one traveling toward the left has an equal amplitude in the negi. da*aisk 2s zz8eqs50 s4vq+ative direction. At the point that they occupy the same region of space at the same time

  Resonance in a system, such as a strin b5w 1vaejrl8lx8 c-(xg fixed at both ends, occurs when

  If one doubles the tension in a violin stringk)dyjrj/(qi/r+pj5 1 l rn7dw, the fundamental frequency of that string will increase by a fact/ p (r+wrdjn/l i5jkd1)jr qy7or of

  What is the spring constant of a spring that stretches 2.00 cm when re)kjx*d7 y7-rfrt l) a mass of 0.600rd7frlrky 7x- j)t)e* kg is suspended from it?

  A mass is attached to a spring of spri53te2vep 9d pjk0 ; qnm2xrv.cng 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 le2.pctjk92m0p vdqv nx3ee r5 ;t go. It takes 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 spring of spring constant 60 N/m a4c8oj-**pb-usys v8 eph- ucblong a horizontal, frictionl- *4bs*syc8uhobupjev 8 -c-pess 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,g ji0u,*.vyqj frictionless surface. The spring is initially stretched by a force of 5.0 N on the mass and let go. It 0jgj ,qy.v*iu 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)g cpygc, 30cj SHM. It goes through 10 complete oscillations in 5.03yp c,0c)gg jc s. What is the period?

  A mass vibrates back (d1:srl3( )nd -gq8yr zgld sjand forth from the free end of an ideal spring of spring constant 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 equilibriulj3(gd ys n:gz )81sqrlr -dd(m position?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m along a h27j7y+uhj wbmip; 1eoorizontal, frictionless surface. The object oscillates in simp7y7w jb2o+p;m ih1jeule 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. Thi(u/p(8+q/i e jrggwae energy is 8.0 J at this time. The mass is iigqu+j e 8(pr/ (/gwacut in half, 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 sprinh*n/n* 3hdd ct tl4z-eg 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 amplitndt/c-e nhd*4z*h3 t lude of vibration?

  A 0.50-kg mass is atta9kr+x1s ;an xyo-f/xv ched to a spring of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a spee9; sn xoyvxxr+k /1f-ad 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 spn:tt ;yq +fzh9ring constant 50 N/m and set into sim z:nt9t +qyh;fple 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 to the end of a 7mkaw *g:) fpdhorizontal spring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the total mechanical7 m:w)kpfd *ga energy of this system?

  A mass vibrates back and forth from the free enrsqxf5* z09e6,glv :h df+tw-sgoc (nd of an ideal spring of spring constant 20.0 N/m wi0t+ fxd9s,sfonqeglcr:( wg5-vz6h*th 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 its equil7dqlca/ kn9xb:.*di j ibrium 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 cd7xnqil: bd. *j kac9/m and then released?

  A 4.0-kg object is attached to a spring of springd/zi8la69f)q oq b.+si s 4qne constant 10 N/m. The object is displacd/ln o4 .q9b)izqaes+sfqi 86ed 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 N2k2wq1d w3d(r- lfnnn/m. The object is displ1krdwfn2l-(nw 2 dn 3qaced 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/mv1g e stje3z n *r(ih+7m;)tclrf 2fijq-j46v, displaced slightly from its equilibrium position, and released. What is the frequens6-7*j zt+emf4j(f nliqv r1;e vcihr 32gt )jcy of its vibration?

  A mass is attached to a spring. It oscow8 */p/trnlms8wg3millates at a frequency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium /rps/g8mtw l3w*n om8 and released. What is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to different springs. Mass A vi gzj6+tsh ))ambrates 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. j)h)z t6g+am sHow does the maximum speed of A compare to the maximum speed of B?

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass tc.u4: xqcyk6+m8i qa pp:mzu-i; ;wp stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and released from rest. Calculatqp4 ; u-m+mii.: ;txwy68ppkaqc uz:ce the period of oscillation.

  A 0.30-kg mass is suspended on a spring. In equilibrium the mas(+l*am kty ndnv2hd2e m..2vss stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and released from rest. Calculat.( 2kdnsn.2+tmm 2ae*yl vvh de the total energy of the system.

  A 0.30-kg mass is suspended on a spgj a.;zctah-d: sopw8v.qi8 :ring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an adwt8a.v8poai-z .:js qh c:d g;ditional distance of 1.0 cm down and released from rest. Write down its equation of motion.

  An object in simple harmonic motint 4-9wkqnl/w on obeys the following position versus time equatiolwnt 9 n-kqw/4n:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following positionht f+1 7tptks8 versus time equation:pk1+8 thtt f7s
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic 3me hw9: l:ranmotion obeys the following position versus time equation:h3 am :9en:rwl
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes ok q6e 9trv g:)x./rolsimple harmonic motion according to the eq / eqolg96 ):xrvokrt.uation $y = 0.50 \; \sin (18\pi \times t)$ where y is in meters and t is seconds. What is the period of vibration?

A 1.5-kg mass attached to spri -b asoq)ix.e+g:ht5p ng 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 sx:ets+g bho5i a .-)qppring 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 swing z zip) on+ps+(gj u/c/.hdv8hs in 8.0 s. (a) What are its frequency and period oisj(//p hn +vdoz.+zu 8p)gh cn Earth?

  A 3.00-kg pendulum is 28.84 m long. What is its xq9shc0ldus+ah n8 i,b861vbbkf1p-period on Earth?

  A pendulum has a period of 2.0 s on Earth. What is its leng vyga4tl iwp4/-. ,xvv1)6say( wpjata+9b kmth?

  The pendulum of a grandfather clock is 1.0 m long. Wwny1i 1 3zpnr/hat is its period on the Ear1npw/r 1nz3 yith?

  The pendulum of a grandfather clock is 1.0 m long. What is its period on the e2 )+bkr;qws/h v /1jaw leru3Moon where the acceleration due to gr rqlrw 2e/v;)k3b h+ usaj/1ewavity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg sphw+fh1(r y9)ycr/kriz erical 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 friwy/y) (f rz r+19khcrequency 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 o dxbr3v9jqah3/jbe;yzk ,+x (f 8.0 k+ b/d3xjr;,vbeqx z9jyah( 3e. 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 at a giv ).og ea tv+j,4g yu;agvd)1ofen time. The frequency of the wave is 120 Hz. What is the amplitude? yo, )g;ju4. g v+td)f aovgea1

  Figure 11-2 is a "snapshot" of a wave at a given timalznt7 vr7:*7 eaqr v;e. The frequency of the wave is 120 Hz. Whn;v 77t7rl:av z*eraq at is the wavelength?

  Figure 11-2 is a "snapshot" of a wavw :lu0xioxa+z(( hq*w e at a given time. The frequency of the wave is 120 Hz. What is the wxow awh*q0i z(xul(: +ave speed?

  What is the frequency of a walbqcyxrs**7u.fhc 1 0ve which has a period of 6.00 ms?

  What is the period of a wave with pn(xls u(9w, rr g 4,;5cekcwta frequency of 1500 Hz?

  What is the wave speed if a wave has ;j p3 xhtr6/-vdylfy )a frequency of 12 Hz and a wavelength of 3.0 m3 6 y hf-)dlrpxtyjv/;?

  What is the velocity of a wave that has a wavelengthxus(uas: ;i)ahk; / h)ctada + of 3.0 m and a frequency of 12 H/dc(;k a;+)a:ash iu)a suhtxz?

  What is the frequency of cp: q8 k.-2hmducjz a;a 2.5 m wave traveling at 1400 m/s?

  A piano string of linear mass deadi;pyfyw,/(ot l;s / nsity 0.0050 kg/m is under a tension of 1350 N. W ylw;;/ t /(si,dypoafhat is the wave speed?

  A string of linear density 6.0 g/ghpzsx-72+ a 1b gzqsioy 3.uiv.a: )pm is under a tension of 180 N. What is the velocity of propagation of transversa+puao2q)hgb.ygi7 :v. -zpsszi x 3 1e waves along the string?

A wave whose wavelength ir ((jc ekrpu70s 0.500 m is traveling down a 500 m long wire whose total mass ujr ce0p7 k(r(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 propa i;5qcg0evo ; w/bp1rggation of a transverse wave on a 2.0-m long string fixed at both ends is 200 m/s. Whier;g b v5/0ocwqi g1p;ch one of the following is not a resonant frequency of this string?

  If a guitar string has a fundamental frequency of 500 Hz, which one of the follo2gb rl,d3p o5(kk8iajz8fi o-wing frequencies(o5kifk,8o 2ia pr bdgl3-j z8 can set the string into resonant vibration?

  A stretched string is observed to have four equal segm;n* 1km oj go*10o:xdhp. tfmagu() coents in a standing wave driven at a frequency of 480 Hz. What driving frequencyox a1h(otm fo*: gj.d*;1kmc )pnou0g 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 standing ,a7ebage srhb0i 51 :wtransverse wave pattern containing 3 loops. What frequency is needed if the standing wave pattern is to contain 4 loops?baw0i a1,g e bs5r:eh7

  A string of linear density 1.5 g/ t + 1pxp(fp;m1i;qynou euw/+m is under a tension of 20 N. What should its length be if its fundamental resonance1 u;np/+yeqi pf;umwtp(+1 xo frequency is 220 Hz?

  Find the first three haf((ek:hvkzv7ckd ughv -419n rmonics of a string of linear mass density 2.00 g/m and length 0.600 m whze:1nghc7vv( h9kv kfdu-k(4en it is subjected to tension of 50.0 N.

A string of length 2.5 6( qxi 7zbe . 6me;c:y ewjoj;13lpvlsm is fixed at both ends. When the string vibrates at a frequency of 85 Hz, a standing wave with five loops is fo. jv7l;:p eo;3 wembs(qz6ixy6j 1ec lrmed.
(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.