The time for one cycle of a periodlr hzy)km)-r3 dam k p87kf84bic process is called the

  For a periodic process, the* owz9a.m7pur )dft8y number of cycles per unit time is called the

  For vibrational motion, the maximum displacement from the equilibrium fowtiummxmi m(127 ut/; zr n57y0 wj8point is calmy 5 uf78w17r j2;mtimnu mzt xw(/0oiled the

  A mass on a spring underg( 0o sgcj 4-yyiviy1+qoes SHM. When the mass is at its maximum displacement q yi(-jyg+cv10sy4o ifrom equilibrium, its instantaneous velocity

  A mass on a spring undergoes SHM. We. cu g5 )wept,m.ahy;hen the mass passes through the equilibrium position, its instantaneous velocit pt,m..g w5h a)yeuc;ey

  A mass on a spring unde4p7mq9i f .unhrgoes SHM. When the mass is at maximum displacement from equilibrium,ifnq4 hpm97u. its instantaneous acceleration

  A mass is attached to a vertical spring and bobs up and down between nri lz*5 taa44qnuh(9 /(gntwpoints A and B. Where is the mass located a wt4n4r5t9l(i g/n zhq*au n(when its kinetic energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down between point 7oo,ara + 2hhu *wp1ecr-nef5s A and B. Where is the mass located when its kinetic energy io5 ,+euao wn- c 17her*fa2hrps a maximum?

  A mass is attached to a vertical spring and; tkihd3: g6av bobs up and down between points A and B. Where is the mass located when its potentia6 d:vi a3htk;gl energy is a minimum?

  A mass is attached to a vertical spring and b v 5;j.)umkdq; ;lgiywobs up and down between points A and B. Where is thkmgvd q;j5; )u.ilwy;e mass located when its potential energy is a maximum?

  Doubling only the amplitude of a vibrat5o ir6dxb)d7-o : 1ouould.tzing mass-and-spring system produces what effect on the system's mechanical enerud6tord oi5.:z1 bu)do7l -xogy?

  Doubling only the mass of a vibrating mass-and-spo, 81g;bpjnzulf3 wo4;uul); *e r dnuring system produces what effect on the system's me;u;gowup1n er*u4l udf3oj 8zb ;) ,lnchanical energy?

  Doubling only the spring constant of a vibrating mass-and-spring system pro qzx9+nrevdc27h7e ) g7ndco7duces what effectqdeen g n97h )7c+7rdz2 ovxc7 on the system's mechanical energy?

  A mass oscillates on the end of a spring, both,2xr*8 he8yii wesiy7*, +dbwyhn,- ummbz*c on Earth and on the Moon. Where is the period the gre,u2nwbsiyhc,ziw8-di7y* er** bxyemh 8 m,+ atest?

  Increasing the spring constant k of a mass-and-spring sy2dr+o,.- cw fev8f4smnwqh4n stem causes what kind of change in the resonant frequency of the system? (Assume no ch.w -8w r csfnne,4hqov+fm42 dange in the system's mass m.)

  Increasing the mass M of a mass-and-spring system causes what kind o0o1nzsrpg u:7 endc( 3f change in the resonant frequency of the system? (Assume no change in the systes0 17:pgnoenrc uzd 3(m's spring constant k.)

  Increasing the amplitude of a mass-and-spring system ca;s0,gt eyqiln2th;2 b uses what kind of change in the resonant frequency of the system? (Assume no other changes in thetyg0 b2n;i2e, ;tqlsh 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 a-g26p8udzf rm+ pf z8jttached to a weightless string of length L. For this system, when26 + djppgfu 8zmf8zr- undergoing small oscillations

  When the mass of a simple pendulum is tripled, the time required for onwunz 8)w9 n (ncvucv/4e complete vibrationc wz cuv)w(49u/nn8 nv

  Both pendulum A and B are 3.0 m long. The period of A is T. Pendulum A is::b-ooz nhyayd28lf0:9i d bq twice as heavy as pendulum B. What is:q: -9obnfyih2d:yal d8zob 0 the period of B?

  When the length of a simple pendulum is tripled wv; kd tpr+xss88qq30, the time for one complete vibration increases by a factor owv0+sq8 3 qdx;8tsk prf

  What happens to a simple pendulum's djavz+ 6q1 51)kzle *io jipr4frequency if both its length and mass are incrk 614ij5 qaljrz1)ezp *do+vieased?

  Simple pendulum A swings back and forth at twice b-sa cud ,j1g(the frequency of simple pendulum B. Which statement is correct? 1,scd( j-baug

  If you take a given pendulum to the Moon, where the acc:r-2kzt rpze /eleration of gravity is less than on Earth, thkt2p-z rzr:e/e resonant frequency of the pendulum will

  Curve A in Fig. 11-1 represw kx l(jd )mvtx0v9k*d7r)db7gi th4 5ents

  Curve B in Fig. 11-1 re d) nfi*l5 1)n vtxd1pir:a5fmpresents

  Curve C in Fig. 11-1 represgs 8 , :npgxz9gcu+)plents

  For a forced vibration, the amplitude of vibratiodauu a.dbp4: w.*9yg/lpuez ; n is found to depend on the

  In a wave, the maximum displacement of .4;ts,t1 iiqvfg4*e thj 0wfe points of the wave from equilibrium is called the wave'fhgtv0i1e qt4 we ;fs,jt 4i.*s

  The distance between successive cre0i-n31r adrjqsts on a wave is called the wave's

  The number of crests of a wave passing a point per unit;w4fjn, wzd9w time is called the wave',9f;z dwwnwj4 s

  For a wave, the frequencyx h flt.: q3xf.h1o4h yj)o/kpm13fzd times the wavelength is the wave's

  The frequency of a wave increases. What happenso d,b6,f qc (hss4+lfl to the distance between successive crestscbsl 4,6sl(q dff h,+o if the speed remains constant?

  A wave moves on a string with wavelength l and frequenct 6q wit5n*un;y f. A second wave on the same string has wavelength 2l and travels with the same velocity. What is the qt5nt ;in6u* wfrequency of the second wave?

  Consider a traveling wave on a string of length L, mass M, and tension T. A sta e2w3jgq-; 72;psf8fupi xnqb z2+xbnnding wave is set up. Which of the jp2+x8z-q3b;nfg 2 e7w xuq ;s i2nfbpfollowing is true?

  A string of mass m and j38okx 8q7b 6abfldh8k/s6qklength 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 mass of the st6hdj/k7f 8x8 8lbs3aqbq6 okkring is increased to 2m, with no change in length?

  A string of mass m and length L is under tension T. The speed of f4y zdd+g2bmh5o vm (:rbzv-( 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, witvzmz( 2m(4d-bb y rv h5gf:d+oh no change in mass?

  A string of mass m and length L is un3 xvkqgtjo2 7g)tue 92k o9m,cder tension T. The speed of a wave in the string is v. What will be the speed of a wave in the strijxmq 9,te kku)t2 ggvo9o237c ng if the tension is increased to 2T?

  In seismology, the S wav/ azid acsin3.rg.;m h9/,b pje is a transverse wave. As an S wave travels through the Earth, the relative motion between the S wave and the particles ih /,.3d;9r./ajmgizsc pnabis

  In seismology, the P wave is a longitmc 2 dsicay6pf0;2l/tudinal wave. As a P wave travels through the Earth, the relative motion between the P wa ly 2p/adits;c6 cf0m2ve and the particles is

  The intensity of a w, /;8rg8c1qwn9y zj1nmm:n8 nkac kf xkg rh*5ave is

  A wave pulse traveling to the right along a thin cord reaches a discontinuity r kx;(p vqpwp7w2rn)v y0e7;awhere the rope becomes thicker and heavier. What is the orientation of the reflected and transmrpn;x72ya wwv;kr 7 (p v0)qpeitted pulses?

  Two wave pulses with equal positive amplitudes pass each other on a strit.fip j.yt5gmm5 :6qlng, one is traveling toward the right and the other toward the left. At the point that they occupy the same region 6g ft m:.yi 55qtljm.pof space at the same time

  Two wave pulses pass each other on a string. The one traveling toward the psme,;dy635mabk(5k - 8edoz0ly tx *bqcm, uright has a positive amplitude, while the one traveling towarbbdmq*az okte5 d(03x ms5 e ,6my; cpl-,k8yud 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 env1x7fj g/ x3qqds, occurs when

  If one doubles the tensionkl:uvpd 3aa (0 in a violin string, the fundamental frequency of that string will i:dvlap(3k 0a uncrease by a factor of

  What is the spring constant of a spring that stretches 2.00 c x20t/emql.*apsx m1r3 u yxj:m when a mass of 0.600 kg ilr3u* samj0/ q1x.te 2xxp: mys suspended from it?

  A mass is attached to a;aw+df) md /v1 pymlx; spring of spring 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 ;d )xal/ dm1mv;w+fypis oscillating. What is the amplitude?

  A mass is attached to a spring of spring constant 60 N/m along a horizontal, qfmr27 l4zyfr6 km. r(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 ilr m 4 7qzkr2.mfr6yf(s the period of oscillation?

  A mass is attached to a spring of spring const o/i i+;p+m0cuasvf* lant 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 0l/s0ac+ * f m+ouvpii;.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 5;s w7feb/elrSHM. It goes through 10 complete oscillations in 5.0w eelfs; /b7r5 s. What is the period?

  A mass vibrates back and forth from the free end of an ideal spring of spring r)pyqx*jf w zwp*dh,:m46/xgconstant 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 position?4gxphw,p mj:fyzw/ ** 6)xd qr

  A 0.50-kg mass is attached to a spring of spring 9borp48 ycab 5constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simplep8 yobrb5ca49 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 SHMsd.kbv7c-4rq rzb )n2 with amplitude of 4 cm. The energy is 8.0 J at this time. The mass is cr szc-q 7d2kv).b4 rbnut 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 oswvt hdvd(gqhx(/z,t1b 1c;8 za2 ;ybf 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 att q/ g 8s(czt, b(;v vh21wh;zddabx1y the equilibrium position. What is the amplitude of vibration?

  A 0.50-kg mass is attached sglpj5io033hz.l0cps t3o n3 to a spring of spring constant 20 N/m along a horizontal, frict53n i0olp.t3oh g c30j3slsz pionless surface. The object 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 xo.o*jgs *0 qaspring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the. qasjoo0*x *g total mechanical energy of this system?

  A 2.0-kg mass is attached to the end of a horizontal spr7z vzm ;waiwp),p+j+cz- hpy:ing of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10wcji)zzp + pw, m a-+yv;hz:p7 m. What is the total mechanical energy of this system?

  A mass vibrates back and forth from the free end of an ideal spring of sp)d/pd 0b z 83k uc2ycdgb6 odi6zi 6)o1thrzp)ring constant 20.0 N/m with an amplitude of 0.250 m. Wha )t/b6)z3p8 2 )k6c1hidcpi gu6zdzydr obo 0dt is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring system is displaced 10 cm from i34zswdtcc aw+;:tehfw a9h+ (olt 7/tts equilibrium position and released. A frequency of 4.0 Hz is observed. What frequency would be observed if the mass had been displaced only 5.0 cm and then release:hw7 tlo9+4ht+wwts3 zt;da/e fac (cd?

  A 4.0-kg object is attached to a spring of spring constant 10 N/m. The object ilp t28m)u wp7is displaced m82)pip7luwt 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 sprfhql gy.. x8r 6c.k5j gbc7a*fing constant 10 N/m. The object is dif5rc q76kg*a..f x.hg jbyc8lsplaced by
5.1 cm from the equilibrium position and let go. What is the frequency of vibration?

  A 2.0-kg mass is hun *,kali+0onpbg from a spring of spring constant 18 N/m, displaced slightly from its equilibrium position, and released. What is the frequency of its vib+n bk0p a*lio,ration?

  A mass is attached to a sprin mt) ,hn2r.fxgg. It oscillates at a frequency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium r gnxfm2, h).tand released. What is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to different springs. Mass A.n3pf 8e j.p)k pkz6wo vibrates with amplitude of 8.0 cm at a frequency of okep f6.j.kp)nz8wp3 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 stretches the53d;s/b ijz /dbma1 rr spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and released from rest. Calculate the period ;z /m5ijdrbd 1r b3sa/of oscillation.

  A 0.30-kg mass is suspended on a srp7o,e8 qxsad3l)n( qpring. 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. Calculate the total energy of the sydenpsxqla8(q or 7,)3 stem.

  A 0.30-kg mass is suspended on a spring. In ezly+ + q:uzco+p5- a9w5v;j lsvv*i rwquilibrium 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 equation of -lc*va p vi+w 55ou:svj; qlr9z+w+yz motion.

  An object in simple harmonic motion obeys the following position ve 6ngfkrgt;;8j rsus time equati8gk;;6fg tnrjon:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple ha h ;jbe+i2u,anrmonic motion obeys the following position versus time equation:a2 +bj i;,hneu
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following ppn/ ib3rsk/t.m, c :teosition versus time equation:r3 spi/ nt. cke:/bm,t
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spgbb;r2n74jl iring executes simple harmonic motion according to the equation bij;bnrg7 l 24$y = 0.50 \; \sin (18\pi \times t)$ 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 r52rmdio hzm3rx i c3g.yx99f3-ccg 7 force constant of 20.0 N/m oscillates on a horizontal, frictionless track. At t= 0, the mass is relea5fy h -32crcmg xid7.3mcz99or3ir xgsed 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 complete swings in 8.0 s. (a) What are its frequency and peo d*6bjs3 s7e 3i*ab2wgigx9b riod gis2o6*j 73bd*9e s x3 wgbbaion Earth?

  A 3.00-kg pendulum is 28.84 m long. Wgru3 q 2zb5o.khat is its period on Earth?

  A pendulum has a period of 2.0 s on Earth. What istq4 sy/ .ji3pn its length?

  The pendulum of a grandfather clocjh j)(d2ja6g; y q2mmnk is 1.0 m long. What is its period on the Eart(mjyj d2g6n q mj)a2h;h?

  The pendulum of a grandfather clock is 1.0 m long. What is its perintufzyc;h zgo 1m0fb jdrfi+;.e8 v9 y7.u,9rod on the Moon fur0 v,;eoz8ff79j9drn;y m. cy1uzt.i+bhgwhere the acceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg stx t;m/wh5 u.wpherical 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 have resulted if a 0.50-kg mass (same diameter sm whut/ 5t;xw.phere) had been attached to the string instead?

A simple pendulum consisting of a 2 f m0sq x6-wy(bbd8t52rax x-c0-g mass has initial angular displacement of 8.0x8-6t w(rb a-5bcxq0m dyx2s fe. 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"x6u wp5 wffen (5 j9um:ewfcl)-mx-x / of a wave at a given time. The frequency of the wave is 1p-em 5e(- u/ lm)uxw6:5fn9xffcjwxw 20 Hz. What is the amplitude?

  Figure 11-2 is a "snapshot"fvrrbw y ; /,.9ak*kyl of a wave at a given time. The frequency of the wave is 120 Hz.vwr9akb yf./ ; k*y,lr What is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency ozl11x pi( jhzd3qk (z2f the wave is 120 Hz. What is the wa(j1zp l(zq2xi3zkd 1hve speed?

  What is the frequency lwp9nl7w v 59rof a wave which has a period of 6.00 ms?

  What is the period of a wave with a frequctu gjw .839tz4y ax9zency of 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hzwjr9rbr(ag4c ,w+ dh 9 and a wavelength of 3.0 cdrhwg j b,9r49+rw(am?

  What is the velocity of a wave tha,sb0wk m (yvx0s7pb7 3 ee;juat has a wavelength of 3.0 m and a frequency of k u3;bbmx77p wa v s00e,ysj(e12 Hz?

  What is the frequency of t;s tjun8(h/u a 2.5 m wave traveling at 1400 m/s?

  A piano string of linear mass d2w6oo.s)bg,ax hy ,x kc5so)oensity 0.0050 kg/m is under a tension of 1350 N. What is the wave s h.aox)6 y2o,kw ob5)o xcsgs,peed?

  A string of linear density 6.0 g/m is under a tension of 180 N. What iszae8lfxqn,a.34x.rm+s v k )b the velocity of propagation of transverse waves along the strikqea,zl.8s+ xf. vaxr)4mnb 3 ng?

A wave whose wavelength is 0.500 m is traveli nz4 tj2rqkt+,3tmh0 ing down a 500 m long wire whose total mass isrmti23th0kjt, q n4z +
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 p)0o:2mmt3c vhaw1 vd a transverse wave on a 2.0-m long string fixed at both ends is 200 m/s. Which one of the following is not a resonant f)vmt:odvhpaw2c3 m 10requency of this string?

  If a guitar string has a fundamental frequencyism: txy-ec)n l0 g f woyt,;..g7muv; of 500 Hz, which one of the following frequencies can set the stlut7, fs wmcg-oxe :t.g; i.n m0y;)vyring into resonant vibration?

  A stretched string is observed to have four equal; chwh jy/,qp2kby9 g71jc1 hs9nfs3 b segments in a standing wave drs /c 9h ykg yphh,sbj37j9;f bw1nq1c2iven 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 frequency o/my/r 3dw15 ytla3rg3 48xqkq-dxdn .bts z+jf 12 Hz with a standing transversejwn3g+1kmdx8x .y3qalrr -z/s qd/b d5y3t t4 wave pattern containing 3 loops. What frequency is needed if the standing wave pattern is to contain 4 loops?

  A string of linear density 1.5 g/m is under a tension of 20 N. What should lb4w37ln/p 9rg mv0j bits length be if wl9/ 30mgjpnlb 4vr7b its fundamental resonance frequency is 220 Hz?

  Find the first three ha5thr3,ifig2 s oc*a9wzmt 089i;n*xntfuc.qrmonics of a string of linear mass density 2.00 g/m and length 9 rt5tf *nn 92.qus hzgctax8m*cfo 0iii3;w,0.600 m when it is subjected to tension of 50.0 N.

A string of length 2.5 m is fixed at bhve,6d79w mh both ends. When the string vibrates at a frequencye,9w76hvdb hm 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.