The time for one cych9ik .cihb s -b4 0n:u6abci0xle of a periodic process is called the

  For a periodic process, the number rn*;uz *h0 jw,;vg3mu*y dbod of cycles per unit time is called the

  For vibrational motion, the maximum displacement from the equilibrium point ishchs47l 5b;d9 fz kuq4 called th 5qf4; kz7hcl9sb u4dhe

  A mass on a spring undergoes SHM. When the mass is atoz sm1*l5iczwa5s (3v its maximum displacement from equilibriim5 c3sosz5*z la1w(v um, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass passes through the g yy7nn .90h-o ulv31p8xpmq9;h ymifequilibrium position, its insta-xf0 p989 mohigvqp n;n7.mu y3yl 1yhntaneous velocity

  A mass on a spring undergoes SHM. When the mass is at maximum disr*xkyldl/ ,74amkh 6 wplacement from equilibrium, its instantaneous acceleykwkh,/* ld 7xml6 4raration

  A mass is attached to a vertical spring and bobs up and down between points f k8w;.ea-hdoq:as a9A and B. Where is the mass located when a. a-qad:kwh s8;e9of its kinetic energy is a minimum?

  A mass is attached to as2u7rke,cvon :+ sx8 n vertical spring and bobs up and down between points A and B. W,7+nors n2:cvkuxs 8 ehere is the mass located when its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up and down between points Ay px;w3t5/zxkyft 5e;: t4r6ybl ke 2c and B. Where is the mass located when its potential energy is a minzebyrpe34c;t/ lxtk625 tyyx fk ;5w:imum?

  A mass is attached to a vertical spring and bobs up and down between pointsq8gk d7qa(j ev5*un *m A and B. Where is the mass located when its potential energy is a maximum?g qu*e kj*q5nadm8 (v7

  Doubling only the amplitude of a vibrating mass-and-spwz9 wzm*vl(e 23smcc4ring system produces what effect on the system's me *v( cmc3z29wwzls4m echanical energy?

  Doubling only the mass of a vibrating mass-and-spmnsz tz)vy (dail87umr:hrm )i. 0)f*ring system produces what effect on the system's mecha)lmza ftn)rm u7 d8m y*hv.sr0:iz i)(nical energy?

  Doubling only the spring conset 2i.:b.swf,x/pp dvtant of a vibrating mass-and-spring system produces what effei/p t v.e,f.:sxwdp b2ct on the system's mechanical energy?

  A mass oscillates on the end of a spring, both on Earth and on thj6i vao yam)c ij/1s76e Moon. Where is the period the greatej1i)ms/ iovaac6j7y 6st?

  Increasing the spring constant k of4l j76 ( zyjatzt4 jk0xupnb0+ tp3r9f a mass-and-spring system causes what kind of change in the resonant frequency44 +xp0ntz6ut9lr z f7(ybaj3 kpt jj0 of the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-sprinq7nup+;ysw xmxt (;0 gg system causes what kind of change in the resonant frequency of the system? (Assu;wupt mn;x(s +07xygqme no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system causes what kind of changeh 4eoo+ez(.zhd4f v:s in the resonant frequency of the system? (Assume no other changes in the sys 4 (4o+f.eve:zzhhdos tem.)

  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 stri*u: 8.c-x /cbzlikwq euov;pp goc 76(ng of length L. For this system, when undergoing small oscillationslx:p*eb ccvwq 7; g -/ ouic(uop6kz8.

  When the mass of a simple pendulum is tripyns-h. 74ac1 q0m gfv(4gua tuled, the time required for one complete (gca4uftm1 0n4 .hvq 7guys-a vibration

  Both pendulum A and B are 3.0 m long. The period of A is T. Pendu ximm rziq(l8xkqx49 ( 8(+7tqia8etd lum A is twice as heavy as pendulum8tm ei(a(dq8t+ l4x87qixi x r9( qzkm B. What is the period of B?

  When the length of a simple pendulum is tripled, the time for one complete vibr:vn.v:8:/ab7oxwytfpm( ac y ation increases byvb :8/o(7 . aa:xy vp:cmfyntw a factor of

  What happens to a simple pendulum's fre pu/5broe+w 4zquency if both its length and mass are ine pu5r4o+ bz/wcreased?

  Simple pendulum A swings back and forth at twice the frequency of simplek 0xl)uo mk:3r pendulum B. Which statemlu)k mko0r: x3ent is correct?

  If you take a given pendulum tu4awiam -+km* o the Moon, where the acceleration of gravity is less than on Earth, the resonantwmm*4 a kuia-+ frequency of the pendulum will

  Curve A in Fig. 11-1 represents y6bcei.gv*d)r57 yfo0hqx0i

  Curve B in Fig. 11-1 represenv1jj cm -ch v89rpvz95ts

  Curve C in Fig. 11-1 repreq5m2b k ( zn:no)d )y:ocqcdt-e7x.uxsents

  For a forced vibration, the amplitude m( ip fu.t691hc-+denb )bjajof vibration is found to depend on the

  In a wave, the maximumkg2w- f dsv2-oj*b(pjjg bu (, displacement of points of the wave from equilibrium is calg (bpjb*su w -2jo,(g- dkfjv2led the wave's

  The distance between successive crests on a w ;cuy aomr80xsl 3vl05ave is called the wave's

  The number of crests of a wave passing a point per ul*9 7 :c fzz5gr lz5b8lpm6oadnit time is called the wave'p9z zf l7ml8r gcz*ao65 :d5bls

  For a wave, the frequency times the wwy(/l 3 -t8fmai+bxp javelength is the wave's

  The frequency of a wave increases. What happ b+5sm2a/*mdx+ ys jamdb.1laens to the distance between successive crests if the speed r2bm+/dyadjaa ms mb 1 .+*l5xsemains constant?

  A wave moves on a string with wavelength l and frequency f.mra7o.g+ pcu6+nqkl5 A second wave on the same string +6lmgrkq. ac+po7n u 5has wavelength 2l and travels with the same velocity. What is the frequency of the second wave?

  Consider a traveling wave on a string of length Lt7vlza+pgfp s-9k0e9, mass M, and tension T. A standing waa9v 7+et -zlgfpk0p9 sve 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 wa2v ohe3.f6 nuz.8vj +s1hdiqhve in the string is v. What will be the speed of a wave in the string if the mass of the string is increased to 2m, with no change in leng8 ie. 3ndh6 sz12.jhohu+vqvfth?

  A string of mass m and length L is under tension T. The speed obxea95icsxss+l) 5 : qf 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, with no change in ma5q s )cae 9l+xxbsi5:sss?

  A string of mass m and length L i: pvib+dkmaw l4r/w(2 s 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/ pab+d( wwk r4l2vim:T?

  In seismology, the S wav je-3sa*lo9;pkewdgua:jw6oei9 9 0h e is a transverse wave. As an S wave travels through the Earth*hsd iaa-9; 6ok0gu9:e wep wj9oje3l , 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 thr2ujrp -n,go10 2nufoy ough the Earth, the relative motion between the P wave an2n ,10ryon2gpo jfu-u d the particles is

  The intensity of a wave i. 8un smba,pxh x8r0 i5lvvs9da;(3sis

  A wave pulse traveling to the right along a thin cord reacxd skd3xuo *0 6pqv,c;zs+2gzhes a discontinuity where the rope becomes thicker and heavier. d *ugo vzxks3,cp+;qzd 02xs6 What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each other on a strz*eo(l)slsk0yy x3 f) lsi+-iing, one is traveling toward the right and the other toward the left. At the point that they occupy the sa*s)s +-( siz yy3eflkx)0 liolme region of space at the same time

  Two wave pulses pass each other on dvel 36n+pqi 3a string. The one traveling 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 ofv+n3 p63idl qe space at the same time

  Resonance in a system, such cgp35ue -yk mh4) th7nas a string fixed at both ends, occurs when

  If one doubles the tension in a violin strilsam*;j xkp 8m/ x+ m2pu;8lhqng, the fundamental frequency of that string will incpa m pq8lxks8;xm; umj*l2h+/ rease by a factor of

  What is the spring constant of a spring that stretches 2.00 cm wlnl2ci,l h4*he cd0x8 hen a mass of 0.60ch,2cl dl 4 nihx80*el0 kg is suspended from it?

  A mass is attached to a spring of s6lswrup/bji-uih2t.2 p3 4 vjo 09ikqpring 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 go back to its equilibrium position when it is oscillating. What is the amplituderi.2iuq w0sp9 j-hilvb3p ok jtu462/?

  A mass is attached tod4ot( p, idot3 a spring of spring constant 60 N/m along a horizontal, frictionless surface. The spring is initially str, (d 4oodptti3etched 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 sprin,vb k*au0 yxeuz (7m19 rwuot.g constant 60 N/m along a horizontal, frictionless surface. The spring ,w1(kueu rax.u v9 7t0*ymbozis 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 frequency of oscillation?

  A mass on a spring undergoes SHM. It goes throughun: lz p)-pdp0bmk;k+ 10 complete oscillations in 5.0 s. What is the )p+ pz0l dnkmpbk-:u; period?

  A mass vibrates back aifhb9a3rt q) 3nd 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 ktq)i9f3 bhr3a inetic 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 horizo3ajy-qy;ij p. ntal, frictionless surface. The object oscillates in simp3 qjijyy;.p-ale 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 p*bb/qzks2-g with amplitude of 4 cm. The energy is 8.0 J at this time. The mass is cut in half, angb* qsk2 /-zpbd 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 spring constant 20 N/m along a horikpvhmj 5 cluzl8((uy.r46 to*zontal, frictionless surface. The object oscillat 8ymr* uvu.k4oz l5lhc6(pjt(es 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 toii( pg gvc. w1eoe765u 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 positouiwg1(56.gce p v i7eion. At what location are the kinetic energy and the potential energy the same?

  A 2.0-kg mass is attached to the end4/x/nfpb;asfl iwb * 4 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 /lbinab / s4*;fx4pfwmechanical energy of this system?

  A 2.0-kg mass is attachewoll1/d /8 ) cnra4l 4px4jtsgd 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 daw)sjl/4pll1 4ong4c8/xt r is the total mechanical energy of this system?

  A mass vibrates back and forth from the free end of an ideal s6 k(*g gddhwz5*03w(oiilx uapring of spring constant 20.0 N/m with an amplitude uw3 (k*g6d wzh5o0iag*xd(li 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 equilibriu0 or 6yluf2xmhbj4 ,7sm position and released. A frequency of 4.0 Hz is observed. What frequency would befu6 b0yms2j rxh4lo7 , observed if the mass had been displaced only 5.0 cm and then released?

  A 4.0-kg object is attached to a spring omw:kfnpg f 05-t:tp )zzmu/3p f spring constant 10 N/m. The object is disp0nftk/ gtfz -p 3)p:w5mz:pmulaced 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. gfb6 1e6 rbsk( The object is displace k1bsrb(66ef gd 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 :fg13y hw+blaiyr:xs)j-3py* s ;q qpa spring of spring constant 18 N/m, displaced slightly from its equilibrium posiy qhrw:3y1 qssf-xlipb )+j*;y ap g:3tion, and released. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequplsfh+ t :bjga897(cn ency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What is the maximum velocity attained b+ 9fpt(jabcn sg:8h l7y the mass?

  Two masses, A and B, are attached to different sprin k*0 )j5dow): z vx-7brqapk mf(hytd(gs. Mass A vibrates with amplitude of 8.0 cm at a frequency of 10 Hz and mass B vibrates wi d*hx)jm5( p0(at7:-o fdwkzyqb) krvth 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 suspendi)d muh5)tk 7r+5clf eed 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. Ca) hmdufti5e) 7cl5k+ rlculate the period of oscillation.

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass str x3v ei9r:a0t cj q2aj28jacs7etches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0a0qc i:2vjt j8 c3jasaex 792r 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 tnm23 p)o ace;0,r y6ylz4w souhe 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.ym3pwooe0y)l4u6c; r n, sa2z Write down its equation of motion.

  An object in simple harmonic motion obeys the following position versus time equi4l :4 sk o r2ka3fsdl,43qtiui nx*q5at oskk3,fis5idt xl ia nql4424u3r*:q ion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following s v0, m*bqzpwr7j- wneam(x53position versus time equr *pw- zqabjvx m3mnw05,7s( eation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following position versus time e +qot+( kblkr-qu(-tqb+okk+ rlation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple hanj/) ugo104tu3ybk oyrmonic motion according 0 )kb 3gou1yjy 4/otunto 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 20.0 N/m oscillates oh+ 3m4qhzxwg80mn hd v :g-;amn a horizontal, frictionless track. At t= 0, the mass is released from rest at x= 10.0 cm. (That is, the spring is0vd:g4z-h mhwqh 8n a;m3+mgx 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 9o.e 8 gkid-bvswings in 8.0 s. (a) What are its frequency and period on 89 ke.iv-gobdEarth?

  A 3.00-kg pendulum is 28.84 m long. What is its period on Ear,y.w8 xdq220*ckpr-vy qk 2(csrxxzzth?

  A pendulum has a per 3;+ dpjbuwbk-0 vmogtjp b-.4iod of 2.0 s on Earth. What is its length?

  The pendulum of a grandfather clock is 1.0 m long. 30wsaom( )ttn:ip+ml What is its period on the Eartotsa03i l m+ tpm:()wnh?

  The pendulum of a grandfather clock is 1.0 m long. What is its period q2+4 crj/xiwttdlx;8 on the Moon where the acceleration due to gravittqrd x/ j2w8x;l i+c4ty is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attach+kupyc d:k *j1ps6727djh:eqz 5pf v qed to a massless string. When the mass is displaced slightly from its equilibrium position and released, the*pj5pcf:z2vhds ke+d7 k71:6uqqpy j 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 has initial angular do1qpsdij ib . ,w/yd 6(up77xuisplacement of 8.0e. It oscillates with a pwppiub/o jd (.7ydu7,6xi1s qeriod 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 "snp- k9yfh68o aiapshot" of a wave at a given time. The frequency of the wave is 120 Hz. What is the 68k9-iafyhp o amplitude?

  Figure 11-2 is a "snapshot" of a wave ategryyj3:wx 35 a given time. The frequency of the wave is 120 Hz. What wy gjy3e:3x5r is the wavelength?

  Figure 11-2 is a "snapshot" of a w,(d ulfc/v6+ev )qq zm/3f+iohl hfa8ave at a given time. The frequency of the wave is 120 Hz. Whq+fmq3fle6 f, )hl d //vv(ho+iua8zcat is the wave speed?

  What is the frequency of a wave which has a period of 6.00 ms?( -hlvs jvp33q .h-ihle*n pz/7t5n xf

  What is the period of a wave with a frequencyn.c63,4d ne;cldb jxb6-rpo x of 1500 Hz?

  What is the wave speed if a wave has a freque rxv*+v1gqzk b705p8*lu zs gcncy of 12 Hz and a wavelength of 3.0 +0gvr1 pbczkg *zlqsv*u87 x5 m?

  What is the velocity of a wave that has a wavjra,zrh .(-if elength of 3.0 m and a frequency of 12 Hzia r(zh,f-rj. ?

  What is the frequency of a 2.5 m wave traveli45zk73le kfl png at 1400 m/s?

  A piano string of linear mass densip.i*ej n o,z-kty 0.0050 kg/m is under a tension of 1350 N. What is the ko*-jip. ,e nzwave speed?

  A string of linear density 6.0 g/m is under ( a8spvlw9dp*l*okf . a tension of 180 N. What is the velocitydvkf 9op8s(*ap*l.lw of propagation of transverse waves along the string?

A wave whose wavelength is 0.500 m is traveling down a wde1u8r.1it3 kq85m du u;3pl)dvgce500 m long wire whose total1lwvdk38gt rumce1i;5u )dpd e. 3uq8 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- 4;l :w;c1 yt8opr.o8beqjze fm long string fixed at both ends is 200 m/s. Which one of the following is teo1b ;;cy8 l zrfpw8ejq:4.o not a resonant frequency of this string?

  If a guitar string has a fundamental frequency of 500 Hz, w9b.zob4udm6ncly;ok. u 5n; ghich one of the following frequencies can set the string into resonant ol ;n;g5 nducmb 94kyb6..uozvibration?

  A stretched string is observed to have four equal segments in a standing wave 0u zq6) t(i:bq1pu ghcdriven at a frequency of 480 Hz. What driving frequency will set up a standing wave with fiv q q(c):zp61u bhgtui0e equal segments?

  A string, fixed at both ends, vibrates at a frequency of 12 z)v-j6( eayj ,lzxcc c5h4 -nyHz with a standing transverse wave pattern containing 3 loops. What frequency is needed if t5 ez-chcy4l xy)6az -,jcj (vnhe standing wave pattern is to contain 4 loops?

  A string of linear density 1.5 g/m is under a tension of 20 Nplz :-h- vy-svbf :q0v+z6gxg. What should its length be if its fundamentavvgp-z h-v:xb +sl6zq-0 :fgyl resonance frequency is 220 Hz?

  Find the first three harmonics of a string of linear mass diqpvtiq; as42qy* ydw:w.x+ ft 5*6dzensity 2.00 g/m and length 0.600 m when it is subjected to tensi5*q xv si. ayd q:w f;w46tdqpty+*zi2on of 50.0 N.

A string of length 2.5 m is fixed at both ends. When the string vibrates at z n9r(snxis7+ w*yfhh n+.n4ma frequency of 85 Hz, a standing wave with five loops is formed.f4nnwsh9r*7 s.+mh +nn(xz yi
(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.