The time for one cyclt*;iijr05n zpe of a periodic process is called the

  For a periodic process, the number of cycles per unit time is iybud4a+m /s8 called the

  For vibrational motion, the maximum displacement from thvl613q+a vb2yr y , 7m)ourasye equilibrium point is caly1yb a3v ) rr7o,am6 vl2yus+qled the

  A mass on a spring undelw/dv8dma,bso 0 dl2 (rgoes SHM. When the mass is at its maximum displacement from equilibrium, its instantaneous velocitydd(lsd,lo2 b0/m8 a vw

  A mass on a spring undergoes SHM. When the mass passes through the equilibv ec01o 8pxrh3z1x l n*:pzk;wrium position, its instantaneoz*p0xoh; l zk1w8v 1r :epncx3us velocity

  A mass on a spring undergoes SHM. When the mass is at maximum dis2ut .*r/se o9fpe 6dkj y(ow3fplacement from equilibrium, its instantan /utr *ejf2d.yo63 owp k9fe(seous acceleration

  A mass is attached to a vertical spring and bobs up anu+o qmx,vox /0d down between points A and B. Where is the mas/o0vmxqo u+ ,xs located when its kinetic energy is a minimum?

  A mass is attached to a vertical spring and bobs n(6.29 5obhi4y s h:fwtsyi(knjkeald52k7oup and down between points A and B. Where is the mf 6 w:in2sk5e(i7y(2t .ay kshl dbonh9ok j54ass located when its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up 1/h rd, ke5ozkand down between points A and B. Where is the mass l1e d/ 5hko,rzkocated when its potential energy is a minimum?

  A mass is attached to a vertical springb 96b8 djmjb1g and bobs up and down between points A and B. Where is the mass located when bdj6 18j9mbbg its potential energy is a maximum?

  Doubling only the amplitude of a vibrating mvd,c5p 4b;- tn /ng*uhq7b ve .cebc1tass-and-spring system produces what effect4ttgced v7,nb-. hq v u b/bnc1ec5;*p on the system's mechanical energy?

  Doubling only the mass of a vibrating mass-and-sa tq2x6b3dwr.r gf(y2 pring system produces what effect on the sr3(b2.x6t2f grway dqystem's mechanical energy?

  Doubling only the spring constant of a vibrating mass-and-spring system p4)hr fe1aczl4roduces what effect on the s f)l41a rce4zhystem's mechanical energy?

  A mass oscillates on the end of a spring, both on Earth and on the Moon. Whqam.du1 uan0xm+ - wv.ere is the perio-nxw0+qm. a mdv1.uuad the greatest?

  Increasing the spring constant k of a mass-and-spring system cau 5hz* 8wc(wq k,nx+bnzses what kind of change in the resonant frequency of the system? (Assume no change in the systemzqw nkhbxn*8, z( +c5w's mass m.)

  Increasing the mass M of a mass-f kbpc8d,dv 04-ja8k sand-spring system causes what kind of change in the resonant frequency of the system? (Assume no change in the system's sprksb8d j ,c8 -v0pkd4afing constant k.)

  Increasing the amplitude of a mass-and-spring system causeskcr;-2m x e;ij what kind of change in the resonant frequency of the system? (Assume no other changes in the -ex;2;cj rikm 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 of oo yv+;wa81f tlength L. For this system, when unwty 8fao+1vo;dergoing small oscillations

  When the mass of a simple pendulum is r9gbc8 :iwgha0 . 6nortripled, the time required for one complete vibr9bwoa r:h0ncg.ig r 86ation

  Both pendulum A and Bqf wc 61q:0kk/v5ahja are 3.0 m long. The period of A is T. Pendulum A is twice as heavy as pendulum B. What is the periodv1awc:a q kkj50fq/h6 of B?

  When the length of a simple pendulum is tripled, the time for one cjao1n7tf7 vt( 86/kfptl.se4xnqj ,uomplete vibration increases by a factor k xj7l4tno j(/1 a8sfe6v7,q p.tftun of

  What happens to a simple pendulum's frequency if bot rhc5 uov0v .tb*8fi.uh its length and mass are increased?c.u.i vuothrf80b 5v*

  Simple pendulum A swings back and forth at twice the frequenc9+ .:bjdojqy by of simple pendulum B. Which staq9+j.d:y bbo jtement is correct?

  If you take a given pendulum to the Moon, where the acceleration of graviu zt9ql/h;.joty is less than on Earth 9ulo/h;z.tqj, the resonant frequency of the pendulum will

  Curve A in Fig. 11-1 represtprn) b -wyh4x;45 pxwents

  Curve B in Fig. 11-1 representsvqpa:48(rwh (lx.tipw:b; xv

  Curve C in Fig. 11-1 repr,yzdwn x*kkc 9d4b+hf 9nlc /*esents

  For a forced vibration, the amplitude of vibration is foz3ppg5r 3 w (3-ljir da4lhn)qund to depend on the

  In a wave, the maximum displacement of points of the wave from equilibriu2o(uvnv 05 o8utp grz8m is called the zp085 vog82 nrvou(tuwave's

  The distance between successive crests on a wave is called)ywlwtb6c /u8hd ; 3rw the wave's

  The number of crests of a wave passing a point per unwe/co2,vu*a3:lwczh1 lbq. h ildc0)it time is called the wave' zlw0c b.l:ai2chc,*3q ow l/)uh1e dvs

  For a wave, the frequency times the lcf zr )j1fk0,a wqnr4*vkw28 wavelength is the wave's

  The frequency of a wave in( y odd+ p7,.-duekajncreases. What happens to the distance between successive crests if the speed remains cop,-nkd(uj +d ed.y7aonstant?

  A wave moves on a string with wavelength l and p7q *s n* vx4 iemtxg:srsc9/4frequency f. A second wave on the same string has wavelength 2l and travels with the same velocity. What is the frequency of the7*psmssg ic/: 4n q9 *x4vextr second wave?

  Consider a traveling wave on a string of length L, mass M, anqv5.p-f up,56ltacb bbl77m5kr i: urmw.t.e d tension T. A standing wave is set up. Which of the following iqm 7 u.b5cl6apib.b r v75kl. t:mruep5t,-wfs true?

  A string of mass m and length L is under tenn)doic ;/u(rbsion 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 string is increase;duncr )o i(/bd to 2m, with no change in length?

  A string of mass m and length L is under tension T. The spee.m s izr 6m,xm(;p9i q4wehw1sd of 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 inwz(i.,4; ws1hmsq mxr69pe im mass?

  A string of mass m and length L is under tension T. The speed of a w k4to 9)vud 0w17bymfe;pd2t xave in the string is v. What kw0y u 1)29f e4totx p;dvdb7mwill be the speed of a wave in the string if the tension is increased to 2T?

  In seismology, the S wave is a transverse wave. - ln.. bd /5cbxcotg;d As an S wave travels through the Earth, the relative motion between the S wave and d5xl-;. .dnt obc cg/bthe particles is

  In seismology, the P wave is a longitudinzne03hyjo-a65 j1rmv al wave. As a P wave travels through the Earth, the relative motion between the P wave and the par6mo n hejzr3y 51vaj-0ticles is

  The intensity of a wavu0(t0 u(sgkh6 zf hi+ce is

  A wave pulse traveling to the right along a thin cord reaches a disconti, wob kvu3-ap+nuity where the rope becomes thicker and heavier. What is the orientation of the reflected an,pw+v 3o -ukabd transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each otheiv u:rx3r5qsl3 m(vgai /*s)a r on a string, one is traveling toward the right and the other toward the left. At the point mvi g: v)raraxui53( 3 q/sl*sthat they occupy the same region of space at the same time

  Two wave pulses pass each oth9i hsc +xxa ph*knm.36er on a string. The one traveling toward the right has a positic+k3i.s*xmnp 6xa h h9ve 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 fixed at both ends k ttetrgpxvqymz,2wi:4 s1 :96oac w;h:9ce7 , occurs when

  If one doubles the tension in a violin string, the fundamental frequency of th jb+pdh1v.s xdl3no5 )at string will in.dh531d p+s lob)vjnx crease by a factor of

  What is the spring constant of a spring that stretches k dc33 h yqim-6ftp24 4octcr.ynw4p0 2.00 cm when a mass of 0.600 kg ct4ci 3r km3h2y40.o4ntfcw-p y6dpq is suspended from it?

  A mass is attached to a spring of spring constant 60 N/m along mvij (6i9(g ipa horizontal, frictionless surface. The spring is initially stretched by a force p(9j( iimgi v6of 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 svp5i68 haxn gpz;zv/3pring of spring constant 60 N/m along a horizontal, frictionless surface. The spring is initially stretched by a force of 5.0 Np6 85;i3xzvzv p hna/g 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 spring constant 60 N/m along a horizowd+kat+2uft 9novn;3;fi3d a ntal, 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 equilib d 2od a3kt;vt nfw3f+ni;+au9rium position when it is oscillating. What is the frequency of oscillation?

  A mass on a spring undergoes SHM. It gomr+6k n ,gj:nor6 jkb*es through 10 complete oscillations in 5.0 s. Whatk 6r*6 nj+nbk r,om:gj is the period?

  A mass vibrates back and forth from the free end of an ideal spring of spring cmumxp3;8 /n qionstant 20 N/m with an amplitude of 0.30 m. What is the kinetic energy of i8qm;3nx/upm this vibrating mass when it is 0.30 m from its equilibrium position?

  A 0.50-kg mass is at.v3 f;h beog 2w/iutg.5n3ugehgw8 c. tached 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 133 / tughigebgn . ;weuwhcg2..5fv o8.5 m/s at the equilibrium position. What is the total energy of the system?

  A mass undergoes SHM with amplitude of 0y+ kvgv+ 5ak( h5un hgsk5xro)rg/q34 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 amplitude 4.0 cm. Whatu honhvk3 5 x0rg 5+r5kqga sy)v+kg(/ is the energy of the system now?

  A 0.50-kg mass is attached to a spring p hw:)c/ayk2atcg ;5t;u- byoof spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmo/gbpak- h cyu 2to;5cw:yta;)nic 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 coqj lop(6y)4p cnstant 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 equilibj4y 6q p(loc)prium 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 horizc8rixbam-b ;(ko0y7: j 6uyrgontal spring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 k;7r:rygba-i6 om 8 y(cbxuj 0m. What is the total mechanical energy of this system?

  A 2.0-kg mass is attached to the end of a horizontal spring of sp18o,nnswz q+us3 wxmi 1 e -e01lmsc,qring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What 13qs,sxin1w en0wmq lu1+-c em, so8zis the total mechanical energy of this system?

  A mass vibrates back and forth from the free end of an ideal spring of spring cogbw2*wrwp1 +tnstant 20.0 N/m with an amplitude of 0.2rw2 * b+twwgp150 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 e(0ji4f3d*, st t dibqcquilibrium position and released. A frequency of 4.0 Hz is observed. What frequency wouldb3,df( jtti*q4i0sc d 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 co*rrfphr 5 c 8h5vfjm1 xp/rf0.nstant 10 N/m. The object is d*pr.fhrvr /p f051mhrfx8c 5 jisplaced 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. The objec+y(ga 1w3jqeit8vw+ gt isyqagi ++ j v3twgw(e18 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 spring of spring constanci p:q(c bcx 3c;5*ltdb*mwq5t 18 N/m, displaced slightly from its equilibrium position, and relx; q(cpi:d5qbc 5lmctw3cb **eased. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequency of 18ab f me39vqz 4zw97bfvddj-6.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What is the maximum velocity attained by the m ev63z-afdmjqf899zw7 v4bbd ass?

  Two masses, A and B, are attached to different springs. 4kd4 (vc27frkyv n:t fMass 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 maximcy7 tkff:d2(4 vvknr4um speed of A compare to the maximum speed of B?

  A 0.30-kg mass is suspended on a spr9vh x 0l:c7 dd *rudktx:*tr0ning. In equilibrium the mass stretches the spring 2.0 cm downward. The 0rnku:cxd r l7vt*:90 txddh*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 sprlhj,;uw9ff3r 6pa1 cv:wkn3cing. 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 ,;9 3chcv6af:w r 3pnw1kjlufsystem.

  A 0.30-kg mass is suspended on a spring. In equilibrium the mas/e 1f vj-uwkmy,ogvrw;1 g 81hs stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down a g8wegwkj,fo1/r v-1mv 1;uhynd released from rest. Write down its equation of motion.

  An object in simple harmonic motion obeys the following postrfn)9 kr bqrjxh(556ition versus time equat9trxq 5)h nj(rb6kr5fion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following posit-e)ijel tbkt4lr2 hm16.gy2 8j:bvke ion versus time equati4r1elj 8e2y.jmk ib )ktl-b veh t62g:on:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeeosrx3 ze 9ds*85ak8ik yf7 :h/p)tl wys the following position versus time equhk5xkp)88 rizso9s/t dee law:7*3 y fation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the freep2459wqtzntbz7 jstz v y(:.n end of a spring executes simple harmonic motion according to the (vtz 9 t.n2qytbn54pwzz :7js 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 ./weofd )kbw/ . xj1uyof 20.0 N/m oscillates on a horizontal, frictionless traw uk.yj/ef.xd1ow /) bck. At t= 0, the mass is released 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. +gemwfm c7o6 y:fv3c2 (a) What are its frequency and period fy6g3+fmc2: c ovw7emon Earth?

  A 3.00-kg pendulum is 28.84 m long. What is its period on Earu/1xtl1iyq +9 zohp 1vu/ ,dcith?

  A pendulum has a period of 2.0 s on Earth. What is o/b8rsdlx1bi6 e(4llits length?

  The pendulum of a grandfather c9qv v)n5y cdx2lock is 1.0 m long. What is its period on the Earth?5) 2ncyvvx9qd

  The pendulum of a grandfather cloc sx6zsiy7022 xaao8ol 8.gbe dlby97bk is 1.0 m long. What is its period on the Moon where the accel2y2 8ybb7oz.s7x0sai 6 bx8ole ag d9leration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attached to a massless ,exr,zynf twgn*y34 w9u95wg string. When the mass is displaced slightly from its equilibrium position and released, the pendulum swings back and forth wi, nnefr9wzug,*tgy4x 59y ww3th 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 displacement o2l pprkfdz/7zw 9za3 -f 8.0e. It oscillates with a pea9d2 /r zwz37pplf-kz riod 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 wvkp 1 n7cecnyd 1d;.7wave at a given time. The frequency of the wave is 120 Hz. What is the amplitude?ecn1p 1nvd7y dk7.;w c

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency of the wavuq(ulc zqt lrc9ko(7r /4 rj3+e is 120 Hz. What is the wavelength+7rc4t rj3rq qz o/uu(c9 ll(k?

  Figure 11-2 is a "snapshot" of a wave at a given time. jmb r+a87soqvfy h4/af:- qq.The frequency of the wave is 120 Hz. What is the wave /:qvyqf+bhr o7.- ama jfs84qspeed?

  What is the frequency of a wggd-qo0)+-nhjw yy( qave which has a period of 6.00 ms?

  What is the period oj z z. )ay4;vfbh.ml)gf a wave with a frequency of 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz ad3f wg x5pc ebew h8om.z80 zqn6*u/6jnd a wavelength of 3.m*ww3pejzcndx/8e 8 0gubo.zf 65q h6 0 m?

  What is the velocity of a wave that has a ho-g,bxg3 mh2 wavelength of 3.0 m and a frequency ofg-,mhoxh g2b3 12 Hz?

  What is the frequency of a 2.5 m wave ty6 go25wmiipxfa 8 p42raveling at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is under a tens:k8hgkpsy yp *2/ dp7wcx/uz( l/9wfoion of 1350 N. What is theu9dky(h ypp8: fl* g/2czx/psowk 7/w wave speed?

  A string of linear density 6.0 g/m is under a tension of 180 N. Whao(pft)(fu -j ztj s*y+t is the velocity of tzjotsf(yf)-( + u*jppropagation of transverse waves along the string?

A wave whose wavelength is 0.500 m is traveling5urq ++pqr3dg4 zko 6d down a 500 m long wire whose total zr+pgodur4+dq 63q 5kmass 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-m long: 7b0cei *bwh; ju,cnm string fixed at both ends is 200 m/s. Which one of e:*,jbuih0n;cc wm7b the following is not a resonant frequency of this string?

  If a guitar string has a fundamental frequency of 500 Hz, which one of the folly,,v ) af3iugaowing frequencies can set the s3 a,g,a)vifyu tring into resonant vibration?

  A stretched string is observed to have four equal segments in a standin7fqjo tr)(pmr/ spn9- g wave driven at a frequency of 480 Hz. What driving frequency will set up a standing wave with five equa7 qj)-m9ropf (pr/tnsl segments?

  A string, fixed at both ends, vibrates at a frequency of 12 Hz with a e1:sp:ol9 )w.qjkp4m xtbqo9-;ciny5 o vwe0 standing transverse wa9sql : iw9te; .v5p :)bow0-qjp4 eyk1m noxocve pattern containing 3 loops. What frequency is needed if the standing wave pattern is to contain 4 loops?

  A string of linear denlq r*g4hg (4mvsity 1.5 g/m is under a tension of 20 N. What should its length be if its fundamental gq4*g4rvlh( mresonance frequency is 220 Hz?

  Find the first three harmonics of a string of linearp/8q72jnk g nv mass density 2.00 g/m and length 0.600 m when it ispn 2 gk7vnjq/8 subjected to tension of 50.0 N.

A string of length 2.5 m is fixed attr fwsjejnaf/eimwg /)9 05 ,8htb;7o both ends. When the string vibrates at a frequency of 85 Hz, a standing wave wi nw8wr/m9g 0abs,j 7e; /i5oftjht f)eth 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.