The time for one cycle of0c lmb: sjot.lty6y82y/g6g, fq i q4t a periodic process is called the

  For a periodic process, the number of cycles per unit time is calo.l,vs(ce gm 2led the

  For vibrational motion, the maximum displacement wst i2, xhapo t3p2).rfrom the equilibrium point is calas 2xip pw,2ohr3t) t.led the

  A mass on a spring undergoes SHM. When the masscs t*mc0r 1lv. is at its maximum displacement f.c 0rts c1*lvmrom equilibrium, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass passes through the equilibrbnj.a5c *fp+t (ei5a jium position, its instantaneous velc.e+fij5p 5t (n*aabjocity

  A mass on a spring undergoes SHM. When thqvi1k)g4 eohc-,um (ce mass is at maximum displacement from k,v1hgc(o u4m) ei-q cequilibrium, its instantaneous acceleration

  A mass is attached to a vertical spring and bobs up andebg,. xn 5b,i26m c ob3;iykeb down between points A and B. Where is the mass located when its kinetic ,5c i. be,b2nog bb3xk;6yiem energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down between pointeveii+ze++6z fa m5v2s A and B. Wh+ ve+ifem+ 5z6zia2veere is the mass located when its kinetic energy is a maximum?

  A mass is attached to a vertical 6 )iy3o:nux8d2ihp f qspring and bobs up and down between points A and B. Where is the mass located when its poteni x piq:6h8d2ofu)3 yntial energy is a minimum?

  A mass is attached to a vertical spring and bobs up anhp fo633 o*ba *g/zppvd down between points A and B. Where is the mfbgp/ o* zpha3vp *o36ass located when its potential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-spring system produces wvp- zu.z. sug.4m;ncqhat effect on the system's mechanical energy;vzucpu4gzmq s.- .n.?

  Doubling only the mass of a vibrating mass-and-springl6h-qj8 3yz .zsbab 1gk)zy*d system produces what effect on the sy qsby.6hgak-1z*8l)zyb jdz3 stem's mechanical energy?

  Doubling only the spring constant of a vibrating mass-and-springq6qi kt2bybr30 - 5siw vv,i+u system produces what effect on the6 3b+ k-vb5ir2swiy v 0,tqqiu system's mechanical energy?

  A mass oscillates on the end of a spring, jv*-ae-2*i4r pz ul*yn/gz xvboth on Earth and on the Moon. Where is the period the grea4 vu-jvny*/x*2 -ipzezrg l* atest?

  Increasing the spring constant k of a mass-and-spring systxb:-ee qm0n+65 nha/ydrb4u eem causes what kind of change in the resonant freque 6ba/0 mhqruxnee +n:b45-dyency of the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a o h+*gxgo*ve)/ f if0emass-and-spring system causes what kind of change in the resonant frequency of the system? (Assume no change in the system's sp*eeof+i/)gh*f v g0o xring constant k.)

  Increasing the amplitude of a mass-and-spring system causes w hjcn- pqpq zn )nn(k-9/9vca+hat kind of change in the resonant frequency of the system? cnnh -jaz+ p (-qnp)c/kqnv 99(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 string ofe;3eu d )v3i83u/e2r5aik lf6ws guyf length L. For this system, when undergoing small os5)y6rk2uaw3u3 fis/ e8 vu3g elfie;dcillations

  When the mass of a simple pendul n 9ppuvf3mtu:z.)c-yb0 /zxdum is tripled, the time required for one complete vibrati 0x9bzpt.m3 n/up:-vyu cd)f zon

  Both pendulum A and B are 3.0 m long. The period w zpn-u uso )g--po5x:of A is T. Pendulum A is twice as heavy as pendulupwzxog on:p5 us)u-- -m B. What is the period of B?

  When the length of a simple pendulum is tripled, the time for one comvz-jcka53i ( lw:l. zbplete vibrat-:za3wkz(l cb vi. j5lion increases by a factor of

  What happens to a simple penvxc5//-jy 5/c cik m5kopq*a p,boa /kdulum's frequency if both its length and mass are inc//,ic /amy-55kcax*vck qkp5o pj/b oreased?

  Simple pendulum A swings back and forth at twice the freq xk9/d hjg hug,ux30v(uency of simple penduluj 9xv/(hu,g hxd30k gum B. Which statement is correct?

  If you take a given pendulum t;;twx, v rypi3 e*/ovl+ydx:eo the Moon, where the acceleration of gravity is less than on Earth, the resonant frequency of the penpe wy+/v;*xl:tredi v ,;xyo3dulum will

  Curve A in Fig. 11-1 represen)yl3wm oas eq6du8u*: ts

  Curve B in Fig. 11-1 represej(+b kcg .v iq0(albf6nts

  Curve C in Fig. 11-1 rep,)ma *k( xskrqresents

  For a forced vibration, the amplitude of vibration is found to depenrw1 oi0feozkj:e 14s6 r9j5axd on the

  In a wave, the maximum displacement of points o qxy(7xn s2b2rtc b;o0f the wave from equilibrium is called ;rbto(bcx s7 2 ynq20xthe wave's

  The distance between successive crests on a wave is ch3uaa xp)8/6chx( bvxalled the wave's

  The number of crests of a wave passing wi0feen:nqas k;y 7o*pi4 0 o6a point per unit time is called the wave'ie0n4i:k s 0n6q*p fo7 oywea;s

  For a wave, the frequency times the wavelength is t90(7 vub-z 0gxst7lsoq jc48goog 2ka. o/sonhe wave's

  The frequency of a wave increases. What s;kooog37r0p wvme6 0happens to the distance between successive crests if the s;w ov6s 30okprg0 o7empeed remains constant?

  A wave moves on a string with wavelength lammvws*y v52( and frequency f. A second wave on the same string has wavelength 2l and travels with the sa syv2m 5a(v*wmme velocity. What is the frequency of the second wave?

  Consider a traveling wave on a strinp2b yoe1w.p*i am;e 7yg of length L, mass M, and tension T. A standing wave is set up. Which of the following is7 y. payi*wmeo ;e1bp2 true?

  A string of mass m and length L is under tension T. The speed 8 9h-f;i0hs01hipb,asv+ wkt ji0 dyhof a wave 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 chvi908p1iiwhh y-s btkjah+hsdf, 00 ;ange in length?

  A string of mass m and length L is under tension T. The speed of a wave ig adw9cr-)hp7 u3: -, ydc3;ysyonhydn the string is v. What will be the speed of a wave in the string if the length is increased to 2L, w7uw yh)odyd:yha-g nc9-,sd3 y;3 p rcith no change in mass?

  A string of mass m and length L is under toiw3d 6qf /jd -7xba9uension 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 incr96a/37obwdijdfx-u q eased to 2T?

  In seismology, the S wave is a transverse wave. As an S wave travels through7kwggl3 . b*ju mpjm79 the Earth, the relative motion between the9mm.73*j upjgkb7l g w S wave and the particles is

  In seismology, the P wave is a l+sju/jt jdxuov ab4deky ;2l9-:9)rq ongitudinal wave. As a P wave travels through the e4sr o+:/jt9u9buj; - v dayxjlk)d2qEarth, the relative motion between the P wave and the particles is

  The intensity of a wave is.csz6eaw4 xiu;0--trk or8 mu

  A wave pulse traveling to thtmrons:* /tv5 e right along a thin cord reaches a discontinuity where the rope becomes thickers:v /n*o5r mtt and heavier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amo,ie: (r bsabk( nxy)c 288mpcj;p6fz plitudes pass each other on a string, one is traveling toward the right and the other toward the left. At pj,pc z(miy 6n;o:a2brx(8 )cekbfs8the 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 toward tv.e4s7 0:,d uzlomudxhe right has a positive amplitude, while the one traveling toward the left has an equal amplitude in the negative direction. At the point tha,u xv4ue:sl07m.zo ddt they occupy the same region of space at the same time

  Resonance in a system, such as a string fixed at both ends, occ.tbq k p ,/gu5wlmui7,urs when

  If one doubles the tension in a violin swhqbp-y;z )le) y87 iftring, the fundamental frequency of that string will increase by a factorei7z; 8q -yl)y)hwf bp of

  What is the spring constant of a spring that stretches 2.0 gdgz+3 g(0d.k 6.wuucblhd) f0 cm when a mass of 0.600 kg is suspended fr l df +u0k(c..dwzu)gb3g6h dgom it?

  A mass is attached to a spring of spring constant 6 hbrmy3x h.2( 95vkfft0 N/m along a horizontal, frictionless surface. The spring is initially stretch v2tybffmx(h3 h9rk5. ed 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 con skf /-ci3g 1 sc+6hw,xhsaq8j ;/swvnstant 60 N/m along a horizontal, frictionless surface. The spring is initially strk/ sas+sf1 8xv;g-shcc6,3 w/hwj niqetched 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 +id;o6fr upo8 a spring of spring constant 60 N/m along a horizontal, frictionless surface. The spring is initially stretch ufr;i o8+6opded 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 xkabtq 2* 9bxep11-enthrough 10 complete oscillations in 5.0 s. What is the 91xpt*ek1nba 2e- q xbperiod?

  A mass vibrates back and forth from the free end of an ideal sprini6e0jbq7v,ypj r wydm9;c+4a g of spring constant 20 N/m with an amplitude of 0.30 m. What is the kinetic energy of this vibrating mass when itpjca9 6 ,yejv7i+w4b0 rqm;d y is 0.30 m from its equilibrium position?

  A 0.50-kg mass is attached to a spring of spring constant 2 zbpaec18k r440 N/m along a horizontal, frictionless surface. The object oscillates in simple ha4 c4kapbrz 1e8rmonic 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 adn hc .vy8f0gve-s3h0t this time. The mass is cut in half, and the system is again set in motion with ampl hd.0cfev8 ny-ghv0s 3itude 4.0 cm. What is the energy of the system now?

  A 0.50-kg mass is attached to a spring of swm03rvz2 ets en)o+p5 pring constant 20 N/m along a horizontal, frictionless surface. The object oscimws+to ez e 35prv02n)llates 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 along a horizups 9b k,d ux1.g9fto8ontal, frictionless surface. The object oscil89ksx9fu .,og 1dub tplates 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 h)ly b 9s:.sd1eldyh-g orizontal spring of spring constant 50 N/m and set into simple harmonic mo1-d:yb hl sed)y. lgs9tion with an amplitude of 0.10 m. What is the total mechanical energy of this system?

  A 2.0-kg mass is attached s* 8 2pnu-ox:vm dl2geto 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 total mechanical ener s *-8 dgpune:l22omxvgy of this system?

  A mass vibrates back and forth from the free end of an ids )qxo8vx/( kmbq )9wzeal spring of spring constant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kinetic energy of txk/qo(s9xb)vz m) 8q whis vibrating mass?

  The mass of a mass-and-spring systw:3im8pe.l 5vu8im, ym qz(h i j0ak6wem is displaced 10 cm from its equilibrium position and released. A frequency of 3 5 :j86m.eq,mmzwywu ih(8 kil0ivpa4.0 Hz is 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 atta7pt-q9n ( (nlb+alo yt rutc88ched to a spring of spring constant 10 N/m. The object is d 9 uarq(npt7l(b+ nyo88c-t tlisplaced 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 spr-ckb+w vf- f6rflhs 7,ing constant 10 N/m. The object ishk-+lfc -7,6bvr sw ff 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 from a snkec gks6 3ip. rsq0zxtnr9+99eu) n;pring of spring constant 18 N/m, displaced slightly from its equilibrium position, and released. What is the frequency of its vib);q cx 9u9zs i6r+ nrpsk.en3kg0n9etration?

  A mass is attached to a spring. It oscillat.llp1jy)+; )d ysb)n;en jxpbes at a frequency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What is the maximum velocity attain+ ;ldyjjs plp)ny) ;en)bx1b .ed by the mass?

  Two masses, A and B, are attached to different springs. Mass j6re9:v; glyag39pzl A vibrates with 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 16 Hz. How does the maximum speed of A compare to the maximum sv9;lg3z 6g rylap:e9j peed of B?

  A 0.30-kg mass is suspended on m2f 68b :yq-gn4boj;trxe b8ia spring. In equilibrium the mass stretches the spring 2.02bx6in; e b 4qy8 mb-j:ogr8tf cm downward. The mass is then pulled an additional distance 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 equil+ i w 9q,zj+o(k/pseywibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled awyeo,w pq+k/+9i s( zjn additional distance of 1.0 cm down and released from rest. Calculate the total energy of the system.

  A 0.30-kg mass is suspeeq :4-qu garle7vjf :dt a0xu:ai j(7/nded 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. Write down its equation of motio:i e(tjlr q0 u:7-e/v4uax7fg jdaa:qn.

  An object in simple harmonic motc;oc( addvwqgw a-4 3ee :k+y1ion obeys the following position versus time equatio -yav4+a1d ; e(wgqo3k:dcw ecn:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the follopj9tuul p1-r3wl28cf d d f;i2t-4 oibwing position versus time equation:9tud -luot41;2wc8rb i- 2p3lidjf fp
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following position 5lm8jt 3c9y m3 zea7fgversus time equatio l5fe 7jy 83tc3ma9mzgn:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple harmonic motiongynu9z-c9koj ;z) /v) bkr9u su -iq,t accordin-v9i bj9 uc9qk,u y u)zo;zr/nks g-t)g 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 fordk r8n13ff7,z fa, zkn wmr05ace 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 cm. (That is, th8nrk a01fffr a,znz dm5k 73w,e 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) W:tjc h:rx7d1j yqh ;r a.3h-hehat are its frequency and perio c jhy:- r1qderhhxhtja:7.3;d on Earth?

  A 3.00-kg pendulum is 28.84 m long. Wh3bqne7gv-i-yl qa )t4at is its period on Earth?

  A pendulum has a period of 2.0 s on vbn4e.4zc;i;z k/ vhyntr9 udt76d,ei *qw h+Earth. What is its length?

  The pendulum of a grandfather clock .g57fh)(tdb6i bjd2a zwr*dn9 pq 1uo is 1.0 m long. What is its period on the Earth?at ud2.r9p17w gd nbjhdf(z5qo*i6b)

  The pendulum of a grandfather clock is 1.0 m long. a 1io pvnr.ow(qhz4 e3eiyql9+0x1h +What is its period on the Moon where the acceleration due to gravity is o pn1h+9 l x(3oievirwo40.he+ ayz1qqnly $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attach*uzu gy c(5e;00 nww+yvl gv+jed to a massless string. When the mass is displaced slightly from its equilibrium position and released, the pendulum swings baul+ n0yzwvec ( u5gwjy 0v*;g+ck 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 co+emh yve8g1 v4bkn0c3.*ph ynnsisting of a 20-g mass has initial angular displacement of 8.0e. It oscilla3bhcv.vype keg * 180 nhynm+4tes 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 giv/j5 og*w klsajdmr 90;0 o.w a*uh.d-eo wcb3gen time. The frequency of the wave is 120 Hz. What is the am*k0bdajoh;59wo . g/j.0auwco md le-*grs3wplitude?

  Figure 11-2 is a "snapsf wgl ;6asj5h9 k)5xishot" of a wave at a given time. The frequency of the wave is 120 Hz. W6f whk9i ) s55;laxsjghat is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at ai+:cazti * ,ha given time. The frequency of the wave is 12i+ic a z,:hat*0 Hz. What is the wave speed?

  What is the frequency of a wa c w9o8x0n+3k.uj thzmx+1wnq ve which has a period of 6.00 ms?

  What is the period of a tydok3z636 z r2 hu;acw9*iutwave with a frequency of 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz and a wa 8nw*n2c q/ cnsa)trao (.5cjevelength of 3.0 m8e)/2nsacq. cjn c (*r5owa tn?

  What is the velocity ofrmocu.f)kqp -h7 gr -- a wave that has a wavelength of 3.0 m and a frequency of 12 Hz?7 ko gmcpuq)r--rhf.-

  What is the frequency of a 2.5 m wave traveling at 1sn m6rm:rnj4 37l ookvm(36il 400 m/s?

  A piano string of linear mass density 0.0050 kg/m mpn vq b v/hy6393b9gtis under a tension of 1350 N. What is the wave spqvmb3/ng p9t 3vbyh69eed?

  A string of linear density 6.a( xbkh)ztw sv7)g :;s0 g/m is under a tension of 180 N. What is the velocity of propagation of transverse waves along the string)a7 hts z(g;ks xb)wv:?

A wave whose wavelength is 0.500 m isryf/p+p 6fi +* yvbvv8yxu ,0a traveling down a 500 m long wire whose totalu*y ,8/iva+xfvb pr0fv+yp y6 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 propagationkdjakj 5aax:(+.. ozq of a transverse wave on a 2.0-m long string fixed at both ends is 200 m/s. Which one of the folo.5. k :xkj zaqda+aj(lowing is not a resonant frequency of this string?

  If a guitar string has a fundament82yml,0cx ht zh-ik9yal frequency of 500 Hz, which one of the following frequencies can set the strinzy c yli092mhh k8tx,-g into resonant vibration?

  A stretched string is observed to have four equu wupfs.o1 y4*al segments in a standing wave driven at a frfw.pu*1s4 u oyequency 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 Hz with ase a81d(cxs 0v standing transverse wave pattern containing 3 loops. What freqvsdxc 0a18es( uency is needed if the standing wave pattern is to contain 4 loops?

  A string of linear density 1.5 g/mc 5 d cqz,bb262pcap+fni ;aa4 is under a tension of 20 N. What should its length be if its 4f6c;ap 2z+ in2p q,bdca5bc afundamental resonance frequency is 220 Hz?

  Find the first three harmo0li; yzued0 c2 *ybv,znics of a string of linear mass density 2.00 g/m and length 0.600 m when it isd ec2u, v0z*yl 0;ibyz subjected to tension of 50.0 N.

A string of length 2.5 m is fixed aztxlpgzfxl 2,,8zp -;t both ends. When the string vibrates at a frequency of 85-8fp, xzpzx ltlz2 ;,g 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.