The time for one cycle of a,x5nc* tcr xo.5eyc:m periodic process is called the

  For a periodic process, the number of cyclesbz1r2bd 8ohw. per unit time is called the

  For vibrational motion, the maximum displacement from the equilibrim3fj cry vou56r.d jct 967xi(a(aj-kum point is called u7fjdj6-iaj 3. vx t ymc( 5a9c6(korrthe

  A mass on a spring undergoes SHM. When the mass is at its ma0;9kcnbm 1m5q1spn hoximum displacement from equilibrium, its instantaneous ve nh onmk9qm;51 c0p1bslocity

  A mass on a spring undergoes SHM. When the mass passes through the equmz 74gca2zi,1wgg3:v+w:y x+ pbl xp filibrium position, its instantaneous velocayz++m4,3g 1blx gvfp2g ip w7z::xcwity

  A mass on a spring undergoes SHM. When the mx -l1yyfw*)n uass is at maximum displacement from equilibx -)1nlufwy*y rium, its instantaneous acceleration

  A mass is attached to a verti3zqv 3 4kwgy(gcal spring and bobs up and down between points A and B. Where is the gzg34y3 (kv qwmass located when its kinetic energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down betweenot 27cwr3ac5oe bib0w4g8q- p points A and B. Where is the mass located when its kinetic energy is a oc072abtb34w5qwgi8-e c por maximum?

  A mass is attached to a vertical spring and bobs up and down between points A a q/guj,1a6*s;c waun8c+qi-pvhkq ) b nd B. Where is the mass loca,ah8qqcwvk s)b un1i j/*;p+ ag uq6c-ted when its potential energy is a minimum?

  A mass is attached to a vertical spring and bobs up and dowv ez)1 xbqf1 f8j0k90svmif.an between points A and B. Where is the mafjmfv9b0xa f1 ize 1s. k8v)0qss located when its potential energy is a maximum?

  Doubling only the amc/dod i1r- a6.w/frd tplitude of a vibrating mass-and-spring system produces what effect on the system's mechanica i.6rc-r/ wd dad/fo1tl energy?

  Doubling only the mass of a vibrating mass-and-spring systempxu5m v 7ultx53ln71a ) v1zwb produces what effect on the system's mechanical zulb xx5twlnap71vu3 vm175) energy?

  Doubling only the spring constant of g07 /sgd q1,omn5 bc.7gfzvnea vibrating mass-and-spring system produces what effect on the system's mecs17bq,0 dfe o.5m7ngnv cg/ zghanical energy?

  A mass oscillates on the end of a spring, both on Earth and on ;k-1; e5bpin wbwde-g the Moon. Where is the period the ebew -;bk pg;n 5wd1i-greatest?

  Increasing the spring constant k of a mass-and-spring system causes what kqgcg,knmu3+ 1xty1a3 ind of change in the resonant frequency of the system? (Assume no change in the systektgq m3c1,+x ga1 yun3m's mass m.)

  Increasing the mass M of a mass-and-spring sysfj ch69-.q jd-u:ur0lhn j)cp tem causes what kind of change in the r )jc r 9j-j.0:l6 hhpcqu-nudfesonant frequency of the system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system causes what b2rq;n4qtrsf;m zn* ssqk8s07 b8d t.kind of change in the resonant frequency of the sys70q;sbnzrdt.snr2 ;8fb qs qts8mk4 *tem? (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 attaui6e)3 eky)v5oqd(pg ched to a weightless string of length L. For this system, when undergoingu ))ev3pg (oq6eyki 5d small oscillations

  When the mass of a simple pendulum is tripled, the time requi2ba :c,jx6y-u n71rck ilec,dred for one completu-,e 2xik: cb167 dyjclc, nrae vibration

  Both pendulum A and B fcly/t-cz g l7q. hgu*u:(7zr are 3.0 m long. The period of A is T. Pendulum A is twice as heavy ag.7zl yh ulc fuc(gz7*r:-/tq s pendulum B. What is the period of B?

  When the length of a simple pendulum is tripled,,;ancliv5/9zt fj*ks the time for one complete vibration increases by a fan a9s t cz5/v;*l,jfikctor of

  What happens to a simple pendulum's frequency if both its lj st.7 y,7qsmzh5m /teuqt,h8ength and mass are increased?t ,/7,t8m t hhs sjqzqmey.5u7

  Simple pendulum A swings back and forth at twice the frequency of s8nfumg7*4hs l8; 7xpchx)bnm rf7.w e imple pendulum B. Which statement is correb7 e*rm7xn47hmw spg lhx8u ).;8nffcct?

  If you take a given pendulum to the Moon, where the acceleration of gravity i o saub:7 b6la(o+uh7zs less than on Earth, thoub 7 huao:l6b7 (as+ze resonant frequency of the pendulum will

  Curve A in Fig. 11-1 repres 6vxloowa0)0 v+/qe.agc:qe gents

  Curve B in Fig. 11-1 repres i9(y 5zrq5tupents

  Curve C in Fig. 11-1 reprebx*jklom9ve8rf 1 f /0sents

  For a forced vibration, the amplitude of vibration is fg.tdxgsfx0) a)me9+ a ound to depend on the

  In a wave, the maximum displacement of points of the wave from equilibrium :agzngv0:d;6h qlyw 4 is called thyg4hgd an:v0zlq :;6we wave's

  The distance between successive crests on ktz a8hb+7*p tm9kd k:a wave is called the wave's

  The number of crests of a wl mhy7fed0ry ,16r 0 aie3,gd2vh4vd zave passing a point per unit time is called the wave'6elrd0gv ydyzm0 e2h4, ,ivadf1r7h3s

  For a wave, the frequency times the wavelenaxkz*gwpc;)+srf -. y s3x 0pmgth is the wave's

  The frequency of a wave increases. What happens tco28a y u*8rhx)m9q1 yqe p4peo the distance between successive cresx8euy1* 4cq m8oe9qha2 ppr y)ts if the speed remains constant?

  A wave moves on a string with wavelength l and frequency f. A second wave+ ..o xyos/kawhu :-hk8i+qxk on the same string has wavelength 2l and travels with the same velocity. What is the frequency of the secoxh oiyxwq-k .osu+ /8ak.:h k+nd wave?

  Consider a traveling wave on a stl(p,ix2 h5uxk biz44oring of length L, mass M, and tension T. A standing wave is set up. Which of the following i4i5ip2b4,xku ( ozhl xs true?

  A string of mass m and lej79m9*elo8 7*kg bmm/ h0bxrvq8z ama5vr6hength L is under tension T. The speed of a wave in the string is v. What will be the speed of a wave in tx5 * lr8 zqmr0hmv7oakbe 9ev*amm76 8gh/ 9jbhe 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 T. The sgjgo8 -9o,l q5vr-sda peed of a wave in the string is v. What will be the speed of a wave in tg-9-jda8lqgsv5ro, ohe 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. q g+snpq6uk:) The speed of a wave in the string is v. What will be the speed of a wave in the string if the tensio:+uksq q)n6gp n is increased to 2T?

  In seismology, the S wave is a transverse g9/w5k:9rkiu zcshh. wave. As an S wave travels through the Earth, thhw /9kr.:u 5hc9gskize relative motion between the S wave and the particles is

  In seismology, the P wavnm)tr /lnpi 6(7:ahhre is a longitudinal wave. As a P wave travels through the Earth, the relative motion between the P wavr ih)(h/mnpt6: n l7are and the particles is

  The intensity of a wave bk.fcy5: 8 (uh.jzm n(g pr(huis

  A wave pulse traveling to the right along a thin cord reaches*a dq7zui,d p ;.dx0w gcxdg68 a discontinuity where the rope becomes thicker and heavier. What is the orientation of the reflected and transmitted puladqpgdid;wx 7 8z 6g .cxd0*,uses?

  Two wave pulses with equal positive amplitudes pass each other on a strk3r)zh a/ig+a ing, one is traveling toward the right and the other toward the left. At the point azika 3)g/rh+ that they occupy the same region of space at the same time

  Two wave pulses pass each other on a string. The one travelin 7*lmxbcr/medqvrk6a 5; n6yib :;e4 ag 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 s4v7 aq6axr6erem;ndk bbci:*yl;m / 5 ame time

  Resonance in a system, such as a string fixed 2l 0isqcq9s.k at both ends, occurs when

  If one doubles the tension in a vi q3ezl;6ag1qm +xtjy.olin string, the fundamental frequency of that string will increase by a +glyt6xqm;3.jqe1 z a factor of

  What is the spring constant of a spring tha b2 lyr6qbsoke8r6( (qt stretches 2.00 cm when a mass of 0.600 kg is suspended o q6q2rry6bk( l8(sbe from it?

  A mass is attached to a spring of spring constant 60 N/m along a horizontc99g /mbdf y3tal, frifbt dmg9/ 3c9yctionless 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 amplitude?

  A mass is attached to a spring of spring constant n(5a) n:uxu/g 7oa bmn60 N/m along a horizontal, frictionless surface. The spring is initially stretched by a force of 5.0 N on no) nnb:75au(uag/mx 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 v)di-o* 8czvr 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 godo ivr zcv8-*) back to its equilibrium position when it is oscillating. What is the frequency of oscillation?

  A mass on a spring undergoes SHM. It gef9ra2gjl)* ctp-, 3uf)b omboes through 10 complete oscillations in 5.0 s. Whaglt9 e*rfm)cf bab2u)p- o3j,t is the period?

  A mass vibrates back and forth from thepgy er;2,r /.h3dunsjk r,5szoyz-3 y 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 equilibrium 3 rzypsezrkyu2 d , ysgjh/3.r ;-5n,oposition?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m along a lk+nw8eub 6 97ui 8g5tm ljn8;bekvn;horizontal, frictionless surface. The object oscillates in simple harmonic motion and has ak86l; m5k n+ j7e9ni lvne8t;wu8bgbu speed of 1.5 m/s at the equilibrium position. What is the total energy of the system?

  A mass undergoes SHM with aml ,z(0i 9hsjlpplitude of 4 cm. The energy is 8.0 J at this time. The mass is cut in half, and the systi9zhls,j0 p(lem 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 spring constant 20 N/m along a ho1bep7a ia 0bu1rizontal, frictionless surface. T 7e1iba1bup0ahe object oscillates in 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 attached to a spring of spring constant 20 N/m alovoa cv0 2o9xn3lygh5:)mrwo7ng a horizontal, 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 areogy37hxv :v omlno2 c0ra5w)9 the kinetic energy and the potential energy the same?

  A 2.0-kg mass is attached to the end of a horizo z f- q;ew5w2grk4u :*(xhrcoontal spring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m*:rw gxko(q52; oczu hw4-ref. What is the total mechanical energy of this system?

  A 2.0-kg mass is attachedccb(gf v o vh4+,8xd,l 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 tf(l v,+8voxc d chg4b,otal mechanical energy of this system?

  A mass vibrates back and forth from the free end of am qcugh8x.)c5 uol 7l/n ideal spring of spring constant uu8.5cx 7chl)qo/mlg20.0 N/m with an amplitude of 0.250 m. What is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-t.bv:4+;/ h6ifjo ylmltc/uj spring system is displaced 10 cm from its equilibrium position and released. A frequency of 4.0 Hz ih;/oml6j j/vlui t.yt+ b4fc:s observed. 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 constant 10 N/m. The agix8; v;wm *sobject is i8 s*wa;mvx ;gdisplaced 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 nyqt15zfmu+8, in/i v10 N/m. The object is nz ynf ,15t+iqvmu8i/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 fromj o7zzz e(c6;p a spring of spring constant 18 N/m, displaced slightly from its equilibrium position, and released. (6;czo 7 jzezp What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequency of 3zgpf0 gc acv n e;q)a2,(x7fg1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What is the maximum velocity attained by the masz (x)3v qf0g7,;ga2gcp facens?

  Two masses, A and B, are attached to diffe1yowx8- 1lmy)osb im7rent springs. Mass A vibrates with amplitimy7wsym- 1)oox1 8l bude 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?

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass syb( -:-4d 5mgrwdrcjhtretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and released from rest. Calcuy gd5 c4:r-b (jmrhdw-late the period of oscillation.

  A 0.30-kg mass is suspended on a spring. Inckki; r1b d83twj94le equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional dk b 8etkci;4wrl193j 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 spring. In equilibrium the mass stretches the ssje kf:,c70/ni7jdr m pring 2.0 cm d77,erd f cmksj/n: ji0ownward. The mass is then pulled an additional distance of 1.0 cm down and released from rest. Write down its equation of motion.

  An object in simple harmonic motion obeys the following position1f7vn0zm iopr6 c 9v,w versus time equati, i09frv1mv6zw7c np oon:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonicgdt 7b otv3l.kox8p+v.xa/6y motion obeys the following position versus time equat.ov . bp/7+6ttlxxg yd3 kav8oion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following posi+dhee s nb/wm/, 3xn0x8ww wg3tion versus time equatw0hwxww8x n e s /mb,3d/3e+ngion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end i:a6 ir;e kfqo+o41pdof a spring executes simple harmonic motion according to the equatio;1i4ooqeai:k f pr d+6n $y = 0.50 \; \sin (18\pi \times t)$ where y is in meters and t is seconds. What is the period of vibration?

A 1.5-kg mass attached to sprinm xy k4s4mz p1b(o n6vd054rmr)c+oqtg 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 crm(4s ovrkz4m py1m+) 4tn5x0c6od qbm. (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. gmwbg;12yxy1 0 s. (a) What are its frequency and period bgxyw1g ;21m yon Earth?

  A 3.00-kg pendulum is 28.84 m long. What is its period on Ea/r u ;ec4sdmn6rth?

  A pendulum has a period of 2.0 s on Earth. What cwx z pnfx 8oyx3g8,tj4*(pf)d *jfh,is its length?

  The pendulum of a grandfather clock is 1.0 m long.02 lndl n9v+hue3t 8ys What is its period on the Eaue3snh0lyl d9vt2n8 +rth?

  The pendulum of a grandfather clock is 1.0 m long. What is its pu3l2f9k1w-r pk(sc v period on the Moon where the acceleration due to gravity is onlyckpru lfk12vpw 3s9( - $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attached to a masj(8 (mhmx;dj:5) .xqe qlpz smsless 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 diamj (ds.m : jp x8qzehqm5)m;xl(eter sphere) had been attached to the string instead?

A simple pendulum consisting of a 20-g mass ;vyeym cyinv.(;( 8sbi 5wuo 1has initial angular displacement of 8.0sieov1 w;(; c yi.m bv85nyy(ue. 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" 06bdvegrmyi 5y 4j(b: of a wave at a given time. The frequency of the wave is 120 Hz. Wr 04vb:byi j5 mdge6y(hat is the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency of themh89+ a)ptddf wave is 120 Hz. Wh ht d9d8fap+)mat is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given time. The f /y0ake9hl6 cr0h7dfirequency of the wave is 120 Hz. Whalyf7r6a eik 0d/c0h h9t is the wave speed?

  What is the frequency of a wa2ac4 ikqxx,v .3mr 1i9yr0ffwve which has a period of 6.00 ms?

  What is the period o4ugem-g z2q;bwveom ; slj9; 3ei 5(xuf a wave with a frequency of 1500 Hz?

  What is the wave speed if a wave has a frequencymt,zlad 9(j jytfy4 5xq3z6q/ w4zli7 of 12 Hz and a wavelength of 3.0 m4 3f4j t/x, yz9q65 qmzzllidta7(jyw ?

  What is the velocity of a wave tj : 8ck3eyc8dz2zosz8hat has a wavelength of 3.0 m and a frequency of 128:2 kzc8 czyeod 3jz8s Hz?

  What is the frequency of a 2.5 m wave tra gum1-3buj +(ix .yjmaveling at 1400 m/s?

  A piano string of linear mab) j24 w 0wgjti;hf utfr;fk6,ss density 0.0050 kg/m is under a tension of 1350 N. What is 0ftb; 2w 6r4g;t) fh jkufwij,the wave speed?

  A string of linear density 6.0 g/m is under a tension of 180 N. What iglri4p6d pbdk4 pl:j0989g u rs the velocity of propagatiorp90kpp:blg4 g 6di 4d8lru9jn of transverse waves along the string?

A wave whose wavelength is 0.500 m is traveling d 1zzd2v31arcxw p lf7*own a 500 m long wire whose tot1fd zvz1p 2xc*w7ar 3lal 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 prop ,-x*vkp)e 0 w tastla(tiz.9vagation of a transverse wave on a 2.0-m long string fixed at both ends -sp l ,i09*() tkax.evz wattvis 200 m/s. Which one of the following is not a resonant frequency of this string?

  If a guitar string has a fundam)wf lz 85dehk9ental frequency of 500 Hz, which one of the following frequencies can set the string into resonant vib8 w9 ek)5dflzhration?

  A stretched string is observed to have four eqm(qnh0b6khr q v 7.vycf9/0k e 5l0budual segments in a standing wave drivehdh09bn k(cm5.ef7yk v6vq0/bl r 0qun at a frequency of 480 Hz. What driving frequency will set up a standing wave with five equal segments?

  A string, fixed at both ends, vibrates at a frequency2s/q lmyd 7co7 of 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency is needed if the standing wave pattern l2y /dc7osm q7is to contain 4 loops?

  A string of linear density 1.7e (n4r:gt jqw5 g/m is under a tension of 20 N. What should its length be if its fundamental resonanceg:7rtewn j(4q frequency is 220 Hz?

  Find the first three harmonics of a string (jw(dsj 8ulcp :by/+z of linear mass density 2.00 g/m and length 0.600 m when it is subjected to tension of 50.0 N ( j8dsp:lb+cyzwu j/(.

A string of length 2.5 m is fixy n;3inbb,;v*s4ua tu bw(i;2txu* maed at both ends. When the string vibrates at a fre3iutm;u *; y4ubb(ab;w2i *ts n xna,vquency 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.