The time for one cycle of a periodic process is callbquy/r32z cn- ed the

  For a periodic process, the number of cycles per untac)*23vco rhit time is called the

  For vibrational motion, the maximum displacement fr8/.0to zwm ;kk/oojga (; atluom the equilibrium point is caot; 8(a. wkgk/mjzlot0u ;ao/lled the

  A mass on a spring undergoes SHM. When the massg eg. n0bc:y(pr.,zt4u jn8th is at its maximum displacement from eque.(tubh.,4 0cnrpg 8nytj :z gilibrium, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass passes througbwh:rbc ug u9.g 3l* )-tep2olh the equilibrium position, its *lo ul2e3bpw9c:)bu-g .rt hginstantaneous velocity

  A mass on a spring underookg ka7bx((b lh- ()ugoes SHM. When the mass is at maximum displacement from equilibrium, its instantaneous a h (olk) -(ugokxb(7abcceleration

  A mass is attached to a vertical spring and bobs up and d - mqxdk2v:c7mown between points A and B. Where is the mass located when its kinetic energd 2cm v-:k7xqmy is a minimum?

  A mass is attached to a vertical spring and be i v/v v9v(3e.f n:).vnxvxtrobs up and down between points A and B. Where is the mass located vvvn. / vifentrv x()e9x.3 :vwhen its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up ano god8fq dz(*7d down between points A and B. Where is the mass located when its potentg *8d(zqd7o ofial energy is a minimum?

  A mass is attached to a ve6e2z.57po* jenun kyrd y/ho 2rtical spring and bobs up and down between points A and B. Where is the mass located wheey uj r*p5dy/ en.no2z267koh n its potential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-spring system pr6 dwmnxv;x(n)p4tf6 6etla -r9+ues aoduces what effect on the system's mechanical energywf n9vt;+rte6a l dxn 6p4a-e s(ux)6m?

  Doubling only the mass of a vibratypuhm t+jp(q :4kzys ,f eo7w5r4)z2ving mass-and-spring system produces what effect on the system's mechanical energzs5yu:vj hor(etp 4y mwqfk + 742p,)zy?

  Doubling only the spring constant of a visqzxsmb .:qefr78le 3kp 5)9ta nk5 8mbrating mass-and-spring system produces what effect on the system's mechanical energy:emlaz 8k pst sqqebx)5 r57n8km9.f3?

  A mass oscillates on the end of a spring, both/hus/pdc g 4s1 on Earth and on the Moon. Where is the period the greatest?/ p41du sscg/h

  Increasing the spring constant k of a mass-and-spring system causes what kos8yja vfu6 z4ay8u+8 ind of change in the resvo6 8jf+ 8uzy y8au4asonant frequency of the system? (Assume no change in the system's mass m.)

  Increasing the mass M of aub,jt(nc jn.qf9 gb 1lgy59 5i mass-and-spring system causes what kind of change in the reb,ugb5l1n yf9 9(t q.gj5cjnisonant frequency of the system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring 4 oyeqv73.jgu+o0mdq system causes what kind of change in the resonant frequency of the system? (Assume no otheqd.3vme074o o uq+j gyr 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 stri69uhlrda3 p d;ng of length L. For this system, when undergoing small osc6 ;hr3lp9d audillations

  When the mass of a simple pendulwgwvy*.a (53n o6dpu ox9;z0rmirn+o um is tripled, the time required for one complete vibrat zoi0rxm.uy;9 +dr5a (6g wov*p 3nonwion

  Both pendulum A and B are 3.0 m long. The period of A is T. 0,r+ve mxm gh;Pendulum A is twice as heavy as pendulum B. What is theg m+,;mrh0v xe period of B?

  When the length of a simple pendulum ibo2bgt2di5n9t/ g6 s5 g7leaos tripled, the time for one complete vibration increases26sen57 5/ gtbgldo i t9g2abo by a factor of

  What happens to a simple pendulum's frequency if byaza1x-ti) +ewm+ 2vwh4 +7pyzi) irxoth its length and mass are incr)a4i++zw i+pxy1rtmwizh )v2x a -e7yeased?

  Simple pendulum A swings back and forth atvq k w;--r0m,e s:amlk twice the frequency of simple pendulum B. Which statement is correc, -mqversa;kwm0l -k: t?

  If you take a given pendulum to the Moon, w5 / ze:y6cwwdjhere the acceleration of gravity is less than on Earth, the resonant frequency of the pendulum will5/j 6wweyd:zc

  Curve A in Fig. 11-1 i-*j0 dfs2o)luckj l-9nx c6erepresents

  Curve B in Fig. 11-1 represenq dg +t-c.ww7v6f* ttats

  Curve C in Fig. 11-1 represents2d0x vun9-; x;h1 vitosrbx 3cpm4n.q

  For a forced vibrationoxnm-; bj(. 9(knjux:*n pb av, the amplitude of vibration is found to depend on the

  In a wave, the maximum displacemen i*oh u.xuo-p5t of points of the wave from equilibrium is called-uu.ho5po i*x the wave's

  The distance between successive crg dtoqd , 3t:ksawf040ests on a wave is called the wave's

  The number of crests of a wave passing a point per unit time is called t(qf yr.tq:*b v vi4dw:he wave's vyr.:*bqfd(: wqit4v

  For a wave, the frequency times the wavelength is the wave'uq,bped 55l1wj lk;9 w3xx:pxs

  The frequency of a wave increases. What happens to the disly:-5tgmwm u+(t)pke tance between successive :gp+e)ytmtl mwk-( 5u crests if the speed remains constant?

  A wave moves on a string with wavelength z)9 a /n /zn1dkkg0gurl and frequency f. A second wave on the same string has wavelength 2l and travels with the same vel )/dkagznz /un1rkg 90ocity. What is the frequency of the second wave?

  Consider a traveling wave on a string of length L, mass M, and6i- u n-q ijh)r4cho)c tension T. A standing wave is set up. Which of thc -iouh6n)ch 4-)iq rje following is true?

  A string of mass m and cph gch 4jq48)length L is under tension T. The speed of a wave in the string is v. What will be the speed of cj q84gchp 4h)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 tens5i: s85 genw 8yqz/ )fqgytfa- m6ec:s on,z6cion T. The speed of a wave in the string is v. What will be the speeqemgoeta)::6cwnczs5/y,y -5 6fi s fq g8n8 zd of a wave in 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 speed of a wave in th7sc7,47wn gfa:r eqnwe string is v. What will be the speed of a wave in the a:ns, n7gqcew f74wr7string if the tension is increased to 2T?

  In seismology, the S wave is a transewr46r 3 kl0ypverse wave. As an S wave travels through the Earth, the relative motio 6 0rlp3eywrk4n between the S wave and the particles is

  In seismology, the P wave ist5wy 9tr6zg p)asz.es7hk1p 9fipu* ; a longitudinal wave. As a P wave travels through the Earth, the relative motion between the P wave and the particles i sk7;ztw*s1h.p9tre) zy6ipf95 gp aus

  The intensity of a wave -ns6+4wjh;tz t g vnm*is

  A wave pulse traveling to the right along a0v7bzedp+nh ; thin cord reaches a discontinuity where the rope becomes thicker and heavier. What is the orientation of the ref;vn 0p d7hbe+zlected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each o ;r2 tyum (:klvxx b+3j6avg/ather on a string, one is traveling towardvkgv(aabxm/26+3j y xlt :u;r the 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 traveling tor9 1.p -r 1pegnntt2srward the rightgn etsrn1 r29t1.-r pp 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 time

  Resonance in a system, such as a string fixedk tta7fa5) dy (wu)+rz at both ends, occurs when

  If one doubles the tension in a violin string, the fundameno 2 -+uq6-;xe lqxrvoital frequency of that string will increase bo-x r-ux;e2 lo6vqi q+y a factor of

  What is the spring conskbcmlq hw/16dm.;lk -u 3prd/tant of a spring that stretches 2.00 cm when a mass of 0.60qlmp.6k1b3/ kmd- wd/ul chr;0 kg is suspended from it?

  A mass is attached to a spring of spring constant 60 N/m along a horizonta gmdlwvo/ dzf7c,nyc/ 2 ;3fz/l, 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 y2znd,d/7ffwg/3vl;o/z mc c when it is oscillating. What is the amplitude?

  A mass is attached to a spring of spris, p)kzb*15snbx vw ,kng 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 whenv k ,*,15bnzsps kx)bw it is oscillating. What is the period of oscillation?

  A mass is attached t vck t-8 6sl7h ,h)itgjq47yw gga.f)qo a spring of spring constant 60 N/m along a horizontal, frictionless surface. Theqigv 7qw46jhfgg .sh la)7k y 8tc,)-t 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 frequency of oscillation?

  A mass on a spring undergoes SHM. tg edg 76 ,bhi8lzf16b,z1wmt It goes through 10 complete oscillations in 5.0 s. What1htl 1z8mz,eb i6gwd6b,gt7 f is the period?

  A mass vibrates back and forth from the free end of an idea: *.q0m/js:t*v kz lxyl2seyv gwn9 e:l 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 0.3* ytk 2ln g0:je/:*:smvvesx lqw.y9z 0 m from its equilibrium position?

  A 0.50-kg mass is attachey(, )yvldzc)v+.iri jd to 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. Wyr,v +i )(j ycvi).zldhat is the total energy of the system?

  A mass undergoes SHM with amplitude 3hw/+vw8eki svqk a/0of 4 cm. The energy is 8.0 J at this time. The mass is cut in half, and the system is again set in motion with ivq+w3s/0ek k8ahv /w 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 alonw5inun .drbwk78u7bbc 0(z +eg a horizontal, frictionless surface. The object oscillates in simple harmonic motion and h+ .7k5znib u0rewnbw(u 78bdc as 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 along a gz 4g92 90uwiwnuf hb5horizontal, 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 are the kinetic energy and the potential energy thui9wg05nh gw 49fu2bze same?

  A 2.0-kg mass is attached to the end of a horizontal spring of :sg 6d4jyw-tj-)wvmx ;gne.sspring constant 50 N/m and set into simple harmonic motiong)mg 4jxs6we ; .-y:njt-vwds 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 horizontal4vfcth/ v90 yw spring of spring constant 50 N/m and set into simple harmonic motif t/ 4vywvch90on with an amplitude of 0.10 m. What is the total mechanical energy of this system?

  A mass vibrates back and forth from the free endl-j-g9(vvc g y of an ideal spring of spring constant 20.0 N/m with an ampjy9g (-cl v-gvlitude of 0.250 m. What is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring system is dis+js q9m k8he4;usauko6 6b*cv placed 10 cm from its equilibrium position and released. A frequency of 4.0 Hz is observed. What frequency would be observed if the mau6s us4qakv *oekj+h6 9bm8 ;css had been displaced only 5.0 cm and then released?

  A 4.0-kg object is attached to a spring of springtz/ tcpfr4**kw ij7wu*vc9 s- constant 10 N/m. The object is * w9tcsc ztr-pk47/vf*j u *iwdisplaced 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 co +8sle5,wdbe j8gr -innstant 10 N/m. The object is displaced byjr,+ 5e 8e8igbswd-ln
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 constans 2h ::dfh:x.x jms /7 1sobclt3yi7oet 18 N/m, displaced slightly from itsi :xsl7o73:/.oym h s2e1jxsdtcfbh: equilibrium position, and released. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequeax6 b;::+dwfb7ypr u oncy of 1.27 Hz when displaced a distbdu;7 of+wab:r6y: pxance of 2.0 cm from equilibrium and released. What is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to different springs. Mass A vibrates xeu-lg jb,p/:j* hfn6with 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 1hp,xb/: e uf*jj6l- ng6 Hz. How does the maximum speed of A compare to the maximum speed of B?

  A 0.30-kg mass is suspended on a -6 t4fjl0uf +.qvwpxo n q1-jbspring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional f -ox4ql +pvtbjw1 -f6u jn0.qdistance of 1.0 cm down and released from rest. Calculate the period of oscillation.

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass stretchesd9z3 kj076zl h x.lyagxo:)lv the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and released fromavh).o zxdll 9 jx3k yz7l:g06 rest. Calculate the total energy of the system.

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass stretchesk*vae-mp5c;wnyjn0/x0/, tx l9 uytk the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and release yxa;-u/k l9 nyp,0t 5 wvcx0jk/*tenmd from rest. Write down its equation of motion.

  An object in simple harmonic motion obeys the following position .t:qe)n lkuj* versus time equatio njt*lqk:e)u.n:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeld4b3(o kd66 fyh rus;-jva;gys the following position versus time equayd 4;6hoj6vg3lafu -;rd(skb tion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion ob1tb n9n r-c x+ibqp:evf5h(, reys the following position versus time equationtveh- 1n pqr9 cxr(ifb+,:5b n:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple harmonic kq.o2gl65 hj6ku ;shn motion accords6 .6 uh k5kqnh;jg2loing 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 20.0 N 2g8 v+ndh l8lamlb xlqh)e74,/m oscillates on a horizontal, frictionless track. At t= 0, the mass is released from rest at x= 10.0 hnvqh2xdla b)4ll e 8m +87lg,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 *9qhi v0z mn 6kofd9-bperiod on Eartb0n6i v9koz*-d m9qhf h?

  A 3.00-kg pendulum is 28.84 m lomw* ,mcm,2u:. yilygbng. What is its period on Earth?

  A pendulum has a period of 2.0 s on Earth. What 2)zk c m(jbd-;mm2n fvis its length?

  The pendulum of a grmgj e : dtzt(8rr4p;z uy wpig6o1x,((zcc9a4 andfather clock is 1.0 m long. What is its period on the Eart;4914 xrra twjpu8itpmgc e(y(d, (zg6 cz:zoh?

  The pendulum of a grandfather clock is 1.0 m long. What is itx2w6v0my 0zmsm1zmv 6s period on the Moon where the acceleratiosw6m mxm vz0y6zv02m1n due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25w*oxg 3fy q6ifzex sw7.;/i44k ol-nn-kg spherical 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 sphere) h; ezn-k 47/x3ni g s.4woif*yxw6qolfad been attached to the string instead?

A simple pendulum consisting of a 20-g mass has initial angu ev7/rj(yxj)jg*:g bmlar displacement of 8.0e. It oscillates with a period of 3vjexy j7m( gr:)gj b*/.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 wa hw k16(lbqbas)7,f hq -fj6spve at a given time. The frequency of the wave is 120 Hz. What bssq7w)1bp( k 6qflfj6h,- ahis the amplitude?

  Figure 11-2 is a "snapshot" of4r 36ndmnj3* n blx7s2beo0ks a wave at a given time. The frequency of the wave is 12 xb2smr7 ns4ek363 *bnj0o ndl0 Hz. What is the wavelength?

  Figure 11-2 is a "snapshot" 6lj u *yq,1 jn1oi xh/v;xupj-of a wave at a given time. The frequency of the wave is 120 Hz. What is the wave spexn1v *; o,jhl1jpy6/iqu -ux jed?

  What is the frequency of xdp 5jo (fa:/ha wave which has a period of 6.00 ms?

  What is the period of a wave with a frb*p )d* ajpl7b7y*bfkequency of 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz and a w fqpwh3 olksv;2qqgt :84 yk14avelength of 3.0 m?8k4qy4 3swhf ;qqopt1 kv:lg2

  What is the velocity of a wave that has a wavelength of 3.0 mtjc4vb2o5r8r stnzky , *6c.q and a frequency of c tzvyqcb2or8tr6*j4 n s ,5k.12 Hz?

  What is the frequency of v 8u):u c8buasa 2.5 m wave traveling at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is under a tensiontfg *:/ (aqjpnww 1tc4(z,b tk of 1350 N. What is the wave spt(:g*knwqzpba/ , j 4 f1cttw(eed?

  A string of linear density vhp s.e+ bt+g26.0 g/m is under a tension of 180 N. What is the velocity of propagation of transverse waves along the s+g2v+t.sbep htring?

A wave whose wavelength is 0.500 m is traveling down a 50vf a9pwinm i.zh 83,s-0 m long wire whose total mass is-awpi8 9 sh.izmvf n,3
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 pgb w r;9j qy2ckutsun6 0n2,(a transverse wave on a 2.0-m long string fixed at botu6ws9ry n2( q bcj ,;unpk2g0th ends is 200 m/s. Which one of the following is not a resonant frequency of this string?

  If a guitar string has a fundamental frequency of 5y5:7i()g me5yi,k j*lvzr djr00 Hz, which one of the following frequencies can set the string into resonant vibrat rzjmke,id( ylivj y)5:g5*r 7ion?

  A stretched string is observed to have ,e7xq sjm *mh,(lxxy,;; vf: wn)v9gz0 hkzutfour equal segments in a standing wave driven at a fhzx0x ut(n 9)* xw l7zsq, ;;mg evy,vjfkmh,:requency 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 of 12 Hs0 m,v7o yt12totm gs:z with a standing transverse wave p2mym:vott t,ssg07o1attern 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. j1r +bml eq2aso7v2 r( What should its lenr2o1j+2 l(vms a re7qbgth be if its fundamental resonance frequency is 220 Hz?

  Find the first three harmonics of a string of linear mass density 2.00/h;ccwgv.2, xr 6lkrv g/m and length 0.600 m when it is subjected to c./vwcl,v h;x62 rkgr tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. When the string vib1 yd-kxq* .mlxt1/a xkrates at a frequency of 85 Hz, a standing wave with five loops is formelt.xk/x *1d1mq ax-ky d.
(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.