The time for one cycle of a periodic process is called g2z13q1 guqb mthe

  For a periodic process,579: dhcbdzpk the number of cycles per unit time is called the

  For vibrational motion, the maximum displaxfkh8/j*yix, cement from the equilibrium point is called tj8*, /kixfx hyhe

  A mass on a spring undergoes SHM. When the mass is at its maximum displacementd,hbe0m;mfr )1 zqau ( from equilibrium, its eaum1;rhb,(df) z m0 qinstantaneous velocity

  A mass on a spring undergoes SHM. When the mass passes through the equins+6oriw r+r (librium position, its inr ri+s+nr6o(wstantaneous velocity

  A mass on a spring undergoes SHM. 9bgmg;q.f 3d. na3 ctcWhen the mass is at maximum displacement from equilibran3f q td39cm.g;b. cgium, its instantaneous acceleration

  A mass is attached to a vertical spring and bobs ul 05odkcns/w 9 dix*9hp and down between points A and B. Where is the mass located when its kinetic energy is a minimum* 5kdlc0x 9h s/9wnoid?

  A mass is attached to a vertical spring and bobs up and down bp/ k(4nmae;d y7l hma;k;x:zwm/pte6etween points A and B. Where is the mass located when its kinetic ea e/a;kmlpd n mx; ;/h(kmwet7 :y4p6znergy is a maximum?

  A mass is attached to a vertical spring and bobs up and down between points A 03b5sx3 usi *3v-orn cowhx0aand B. Where is the mass located when its poturwb33 vos ac3 hos5i n0xx-0*ential energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down betweenvpo 2, / gi v24bkmfwl4z/6gjl points A and B. Where is the mass loc4vl f/mj6k,/b2v42zgl g owpiated when its potential energy is a maximum?

  Doubling only the ampdujr 8qq4fc4 .l m(.ftlitude of a vibrating mass-and-spring system produces what effect on the system's me4qm8t ffj..rl qcu4(d chanical energy?

  Doubling only the mass of a vibrating massn9ontft00 le j n0ws22-and-spring system produces what effect on the t n9wfe j2n200tl nso0system's mechanical energy?

  Doubling only the spring constant of a vibrating masski6ys w-aifc6 u8v azqc0pt 6-50f8zj-and-spring system produces what -aq65izak6vci-fup8 f y0wt8j6z sc0effect on the system's mechanical energy?

  A mass oscillates on the end of a spring, both on Earth and on the Moon. ,+g:j ut5h xjq Where is the period +, htj5xqugj: the greatest?

  Increasing the spring constant k of a mass-and-spriao5 bi0)2iklsbr+hvd g)f1 esp bw6jv16r +p0 ng system causes what kind of change in the resonant frequency of the system? (Assume 06i bv2 b )f vd1k5j0paire6l1 sbph+o+ w)sgrno change in the system's mass m.)

  Increasing the mass M of a mass-and-spring snd;9mq27chpp82 cpl qystem causes what kind of change in the resonant frequency of the system? (Assume no change in the system's spring constant k.p72chl9c ppn ;8 2dqmq)

  Increasing the amplitude of a mass-and-spring system cause /u5np0jzu+ ;(mzz2 cpt /khmns what kind of change in the ujnzn km2z/cp5p+u 0m/ ;thz (resonant frequency 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 consists of a mass M attached to a weightless swsp,:(xsaf + ntring of length L. For thiss: ,nsfx(p+aw system, when undergoing small oscillations

  When the mass of a simpl4gmjv q+ij95 q(zmg /*vf/o kpe pendulum is tripled, the time required for one complete vibratio(+/ govk9mmpqj/ 4qivz *g5jfn

  Both pendulum A and B are 3.0 m long. The period of A is T. Pendulum A is tw1rc t09dl9)om 4o sc7gg wzgktbru(42 ice as heavy as pendulum B. Wh0ggm 9z)(4 to74rb rtl gc2ow s19uckdat is the period of B?

  When the length of a simple pendulum is tripled, the time for one complete -nt hx.cbilh re8 9q05-1j0w,irwtr w vibration inriw8j,-wn5lt b c 9rq0-x wt1i.er 0hhcreases by a factor of

  What happens to a simplgnn6 1iaj8(.qhhdn(m e pendulum's frequency if both its length and mass are increased?h(am.( nqnij 6n dh8g1

  Simple pendulum A swings back and forth at twice the frj n/fx9z8fxolf j7 -1gequency of simple pendulum B. Which statement isnf x 18gjz/jfo-9 fxl7 correct?

  If you take a given pendulum to the Moon, where the acceleration of gravit. (rjqr; bbp(ry is less than on Earth, the resonant frequen;r (prjq b.br(cy of the pendulum will

  Curve A in Fig. 11-1 reo)+(k 1ygwuzq presents

  Curve B in Fig. 11-1 rep)1 e fne+ rzuxqi7-i*zresents

  Curve C in Fig. 11-1 represents7tot sebn*.-l

  For a forced vibration, the amplitude of vibraw xsujx;1f3hbf 0b-z0tion is found to depend on the

  In a wave, the maximum displacement of poismvvaa/ 95caba 9l 01xnts of the wave from equilibrium is calx1m avsa/cv5 aal 990bled the wave's

  The distance between successive crests on a wave is caghsqgr/el 9 j;)gjfb wx1.8n /lled the wave's

  The number of crests of a wave passing a point pb wp lx ds3v-z0py 3*zvs)iid 0r0i.n.er unit time is called the wave's.v vsr3.yi*0n-s0x iz 0zl3dwpdp)b i

  For a wave, the frequency times the wavelength is the6uu3wn:0w slq68kh (hh5wur a wave's

  The frequency of a wave increases. What happens to .lx.v x-y +1qlws ,p;lmqodq6the distance between successive crests if the speed remains constantd vx.p.m,l sxo ;qwyllqq-1+6?

  A wave moves on a string with wavs 45xd xjnne28i( d/mvelength l and frequency f. A second wave on the same string h d/ n mvs(exd85in2j4xas wavelength 2l and travels with the same velocity. What is the frequency of the second wave?

  Consider a traveling wave on a string of le-w5 :emms,drf ngth L, mass M, and tension T. A standing wavesrdm-,5ewm: f 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 tsfqi lqs0hi) :x2( dc/he string is v. What will be the:0i(/fdcssi)2qx qhl 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 is under tension T8) s6wkqfk:h0mcbzq bfjt d+7g 24;nf. The speed of a wave in the string is v. What will be the speed of a wave i sjd:f6n zbk;407bgt)h q+82cwqmff kn 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. The 32 ;av7o y4l ju4tx05wtqn uanspeed 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 t o;u3wxt0j4yv4l52a n aqnu7T?

  In seismology, the S wave is a transverse wave. As an if. *ao/mebl )al/8teS wave travels through the Earth, the relative motim o*ee)ifbla/.ta l8 /on between the S wave and the particles is

  In seismology, the P wave i4 b-,oii b8mdts a longitudinal wave. As a P wave travels through the Earth, the relative motion b-ibmdoi ,t8 4between the P wave and the particles is

  The intensity of a waver xzy1v s 3g8a0a 3bv*d2o*bve is

  A wave pulse travelingv4tm+w/aq 6 bjl8o3*kc 3luvh to the right along a thin cord reaches a discontinuity where the rope becomes thicker and heavier. What is the orientation of the reflected and 8 4bvo3utkw a m hvllcj+q*3/6transmitted pulses?

  Two wave pulses with equhh ;mzl izk u96g3*)sgal positive amplitudes pass each other on a string, one is traveling toward *9k 3zi;6g suhmzlh)gthe right and the 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 travel0kxwnp bzc447r .dgq-ing toward the right has 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 tig7n zcd.kq xr-w044pb me

  Resonance in a system, such as a string fp) wuhvzy0 4v)ixed at both ends, occurs when

  If one doubles the tension in ap0/stth4a 9+z)sedfk violin string, the fundamental frequency of that string will increase by p)a4z0 /d+ kse tftsh9a factor of

  What is the spring constant of a spring j u/e-wf2z 1k b4btt7tthat stretches 2.00 cm when a mass of 0.6z4k wjf1b-/2t tbu7et 00 kg is suspended from it?

  A mass is attached to a .h9eazxzxa8r2 :e y j;spring of spring constant 60 N/m along a horizontal, frictionless surface. The spring 8:y zr ahzj. 2a;9exexis 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 amplitude?

  A mass is attached to a spring of spring constant 60 N/m along a horizontal, *+zs*t .rvhy58 0la9cs);lo a ghtw0jcx5uxnfrictionless surface. The spring is initially stretched by a force of 5.0 N on the mass and let go. I85*ch svja 5g9owl;r x slh0nzyc+a0xt.ut*)t 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 const k; t+r/cyr5)gnrm fy/-iqou- ant 60 N/m along a horizontal, frictionless surface. The spring is initially stretched by a fy k/ );rcim r+y-oftn5-qurg/orce 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 comple56kzj1sd0zs l.vc7ml te oscillations in 5.0 s. What is thevz5lcl kdzsj 0s6.71m period?

  A mass vibrates back and forth from the free end of an ideal spring of -w(b+f(4g h1b1xeeqfa au9.2nnihpuspring constant 20 N/m with an amplitude of 0.30 m. What is the kinetic ea+( (h1agqexi hfpe u-buwn291bnf4.nergy 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 coi2 rwulq,bphp/(4- 3 7h7wzpt (jyt eunstant 20 N/m along a horizontal, bp l7(p ,w-ju/yq2 3 rwh7te(zu4ip htfrictionless surface. 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 energy is 8.0 J at this time. qfodp8o7k5vbi3oww( e2 2w /,w *v .bphnqki( The mass is cuiq(hp3pdk27.bk,/vwifvww qeo5(o8w * no b2 t 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 -zoz8djf we ;-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 equilibrium position. What is the amplitude of v --ed8o;w jzfzibration?

  A 0.50-kg mass is attached to a spring b6jk a+nqv 2v(bo /)pip3 t5m.zkmm,u of spring constant 20 N/m along a horizontal, frictionless surface. The object62,(+m qmk v)ptvo j/a5ubimbpn 3.kz 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 spring conktav kl su+c6l/1w,5u/ w8n(mgrzib3stant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. +iw(z68sut3/k 5 amv1 k,glr/wbl un cWhat is the total mechanical energy of this system?

  A 2.0-kg mass is attached to the end of a horizontal sp;2u w/ cyg6euaring of spring constant 50 N/m and set iwu/ a2ce6g;u ynto simple harmonic motion with an amplitude of 0.10 m. What is the total mechanical energy of this system?

  A mass vibrates back and forth from the fsli9l .ogx9i.ree end of an ideal spring of spring constant 20.0 N/m with an amplitude .lsx.9 9igiolof 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 j)mkdjqtq*5.y + uc 3nfrom its equilibrium position and released. A frequency of 4.0 Hz is observed. What frequency would be observed if the mass had been displaced only 5 +d j5c3*t)m.kjuq ynq.0 cm and then released?

  A 4.0-kg object is attached to a spring of spring constant 10 N/m. The:5 +0fqxugpo uhf jm97 object isq7 fgo:j9fmup+ux 50h 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 to a spring7aopb .ok2a +laa2 3d aahl0hr,is9m)3a d7h x of spring constant 10 N/m. The object is displaced byo .k07hxa2d) +io7a 3s,3plaah2a amldbh ar 9
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 spridpy-w :mbu py;ci1j/8 ng constant 18 N/m, displaced slightly from its equilibrium position, and released. What is the frequenc -:mpi /1jwycpdyb;8uy of its vibration?

  A mass is attached to a spring. n85 v**/k nsthcrlrqspkn44 0It oscillates at a frequency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released hk4nv *pq4nskcr0/8n ls *5tr. What is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to different spriiim ea y;il9b/6 t3v7ings. Mass A vibrates with amplitude of 8.0 cm at a frequency of 10 Hz a3;7i6/ y tiie mbival9nd 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?

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass stretcpfl9rl2m824aezpk. p rnn . snc67 mx)hes the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down annp9npl86s fr m) 2n42mca.rxel.zpk7 d released from rest. Calculate the period of oscillation.

  A 0.30-kg mass is suspended on a spring. In equih. au;j io10nd ol)v/jtxd, y1librium the mass stretches the spring 2.0 cm v;id.ja)y 0,l/tdno 1 hx1oujdownward. The mass is then pulled an additional distance of 1.0 cm down and released from rest. Calculate the total energy of the system.

  A 0.30-kg mass is suspended on a spa:. s wdu/ihpxo /p5a4ring. 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. Write down its equati/. dah/5pxi: pwo4suaon of motion.

  An object in simple harmonic motion obeys the following poys6aejnwgf y3 o-t6 ct+x:+5h/gnf.dsition versus time equationn h+ f -dj3.fsy6ytg/o 5ga:cxt n+6ew:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the follorm 4,vbuo+)pg;dwg 4zk :iy s.wing position versus time equa4d4g bruozw.)+:smky ,p ;vigtion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys thedov g06 v/s+waer4qc2 following position versus time equ+42da6 g0oq rvvw/cseation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free en4qdr- *uivhe3) l3 9v bxkb/kze0y dt2d of a spring executes simple harmonic motion accord3)b z/d4ekvvik2rbldeq 0 y h9-x*u3ting 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 force constant of 20 d2 6l.c2htqb3 w2wdgp.0 N/m oscillates on a horizontal, frictionless track. At t= 0, the mass is q23wbdw 2.hpt2 6cgl dreleased 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 compl syib b .4+rwjim i*qc:k-c*en4q +6nmete swings in 8.0 s. (a) What are its frequency and period+binrsk+m ie w-*cjq 4 c*6y:qbi4 .mn on Earth?

  A 3.00-kg pendulum is 28.84 m long. What isj px (:.mlicm,p, tp q4bncs*) its period on Earth?

  A pendulum has a period of 2.0 s on Earth. What is ita5;. enjfxhn+5pmzjh (m/8eo s length?

  The pendulum of a grandfather clock is 1.0 m long. What is its periodo:tg/c dp5g.kc8 pp .h on the Eargtg ckphcp o/d ..p:85th?

  The pendulum of a grandfather clock is 1.0 m long. What is its peri.7,aji d:rf,zpldrf9 od on the Moon where the acceleration due to ,zl ,ri7. 9 fadrdjf:pgravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg s4umc)vi 78 9tq,x *.mi saiuwjpherical mass attached to a massless string. When the mass is displaced slightly from its equilibrium position c9iwti4mx7m vj*uqu. ,a)s8iand 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 the string instead?

A simple pendulum consisting of a 20-g mass hu :*qax*q3 vgqas initial angular displacement of 8.0e. I3:q q*a *xvguqt 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 b 045(pl6w(dmitwley given time. The frequency of the wave is 120 Hz. What is the amp(lt4 (5lwp60 eydmbiwlitude?

  Figure 11-2 is a "snapshot" of a wavs ag7 -izx+ c jlpn/sqi8*06gqe at a given time. The frequency of the wave is 120 Hz. What is agp-l768gsq+/ 0cnq* isx zj ithe wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency of the wav4j9fm ) dcatgpf:/vw -e v/adc-mwjf4:)g9 ft pis 120 Hz. What is the wave speed?

  What is the frequency egc)g +bw*1io vx+z9tof a wave which has a period of 6.00 ms?

  What is the period of a wave with a frequency of 1500 j :uy jh *q2;2,xdmy-.gbdd osHz?

  What is the wave speed if a wave has a7u0m5.-,zr xojoya dv frequency of 12 Hz and a wavelength of 3.0 m?x,. 0zmj ao-u ydv75ro

  What is the velocity of a wave that has a wavelength ookpb6k39dvovqg- znj8)pr 6 5 f 3.0 m and a frequency of 12 Hz?jqpb8pkov )3-5o6 v k6rg9dzn

  What is the frequency of a 2.5 m wave traveling at 1400 m/,fq phn 1i fav.khj2d d(oa+mco-3-1qs?

  A piano string of linear mass density 0.0050 kg/m is under a w45 tcact1np*kdiwu 8458s( dxorgk2tension of 1350 N. Wkw4snu5*c4ta 5( kg1d c2 droiwp88xt hat is the wave speed?

  A string of linear density 6.0 g/m is under a wahu,n +2be (ytension of 180 N. What is the velocity of pr habu(2n yw+e,opagation of transverse waves along the string?

A wave whose wavelengckemamt jgc-58v4k3, th is 0.500 m is traveling down a 500 m long wire whose totatkvm -c5am4e,gk3cj8 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 g 5.*q ejj+ynestring fixed at both ends is 200 m/s. qn*j.j5 ge e+y 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 one of k5lri7/ 3:ii hzlvkqws: +,rpthe following frequencies can set the strinp/ i wq7li5z ,khs:v:rlikr +3g into resonant vibration?

  A stretched string is observed to have fourht6n84ascy8* q8a.x3 i hlw jn equal segments in a standing wave driven at a frequency of 480 Hz. What driving frequency will set up a standing wave with five equal s4cal638wa 8 n*ntxhq8i.hj sy egments?

  A string, fixed at both ends, vibrates at a frequerpibrh8 ; (y55p0uy)q*j vakmncy of 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency 5v h(yk5i m;*q08y r jrbaupp)is needed if the standing wave pattern is to contain 4 loops?

  A string of linear dens7nx)prg7vh yq0a*z11oe q9w dity 1.5 g/m is under a tension of 20 N. What should its leng0eqopd)grw9 *z77x1n1q av hyth be if its fundamental resonance frequency is 220 Hz?

  Find the first three harmonics of a string of linebriz 6k 2 gruv z :4bhraimnls66,1--lar mass density 2.00 g/m and length 0.600 m-lr:b6n zhgms461vi zau-rr 6b2 l,k i when it is subjected to tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. Whena35mr;3 zyepwc2:ttv the string vibrates at a frequency of 85 Hz, a standing wave with five loops is formed mz arp52;vyt et3cw3:.
(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.