The time for one cycle of atq 29mgl+a,,qir;g v d periodic process is called the

  For a periodic process, the number of cycles per unit ti 59evlt. 8s+vafdk j kc0t.os*me is called the

  For vibrational motion, the maximum displa7wju ho,s,g;*k + 0tapz qwgv,cement from the equilibrium point is ca gv7, +hau0;zogww,k,*ptsj qlled the

  A mass on a spring undergoes SHM. When the mb* k 7 .vgpog2,k,mzd;jbl. lmass is at its maximum displacement fbvpgo, bdzm;2.klm,.lkjg 7 *rom equilibrium, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass pas0nags4:8kg lee n.9vgses through the equilibrium position, its instantaneous velocit.4s:g aenv8nggel9 0 ky

  A mass on a spring undergoes SHM. When the mass is at maximum displacement fro/9v+n l7qrponddy0o53lz f 2 om evd7n+n/ 5lqrz0 3dyp9l2 o fooquilibrium, its instantaneous acceleration

  A mass is attached to a vu1v.0xe cyw9 fertical spring and bobs up and down between points A and B. Where is the me09vw1f u cy.xass located when its kinetic energy is a minimum?

  A mass is attached to a vertical spring and bobs up an 1vg44oha3rgcd down between points A and B. Where is the mass located when its kinetic ener arhg34 1c4ogvgy is a maximum?

  A mass is attached to a ve qveaka fln) 2(l;e11jrtical spring and bobs up and down between points A and B. Where is the mass located when its potential energy is a11fa qa 2lnl(jk; eve) minimum?

  A mass is attached to a vertical spring and bobs up and down between fj8kfzb1 8m- qya 3c+29eancfpoints A and B. Where is the mass located when its m-n+1y8ebc8ffk j azaq2 39cfpotential energy is a maximum?

  Doubling only the amplitude of a vibrating ma0w(hybc:i dyk (nh3 *ug6uao5 ss-and-spring system produces what effect on the system's mechanical energy*cu:hy0hbd 5(6g yki(3ouan w?

  Doubling only the mass of a vibrating mass-and-spring eg7ps9 gk10 -s:cnvjv system produces what effect on the system's mec0 -v:eg1jnsv 9p kgs7chanical energy?

  Doubling only the spring constant of a vibrating mass-g uvh 0tntg q7)ul :etlla1t+v,5e8.rand-spring system produces what effect on the hq l0+ltna1regevtv :t8u7 ) .t5 ,lgusystem's mechanical energy?

  A mass oscillates on the end 2h7 r:us:iqfm of a spring, both on Earth and on the Moon. Where is thesh:rmu:i q2f7 period the greatest?

  Increasing the spring tsjpmnhp,o e/q30 -w0 constant k of a mass-and-spring system causes what kind of change in the resonant frequency of, 0pwpq omh0 -3jsten/ the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-iva6w1 hmf+vz-t56m1fpewf :and-spring system causes what kind of change in the resonant frequency of the system? (Assume no change in the system's spring constafw+p16:m hi zat1fm-5 v 6fevwnt k.)

  Increasing the amplitude of a mass-and-springl .+vpv +jt-ag system causes what kind of change in the resonant frequency lgjt+pav +-.v of the system? (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 shzqr1y3luy0n u 50f(btring of length L. For this system, when under(nf br q31uy hlzyu005going small oscillations

  When the mass of a simple pendulum is tripled, the time required duc w5co0(nh)1e +znb for one complet)h zwo0cn(5 c+ e1dnbue vibration

  Both pendulum A and B are 3.0 m long. The period of A isrf 2;z./xy bou T. Pendulum A is twice as heavy as b/oz2xyfr; u. pendulum B. What is the period of B?

  When the length of a simple pendulum is tripledpp3vw ny2me1mv)0 qv8 , the time for one complete vibration increases by a fac e8)m0m 3y1pvp2v wvnqtor of

  What happens to a simple 8fha- c:c)hql *l 3tmlpendulum's frequency if both its length and mass are increase -l:tal*hf8) 3qm clhcd?

  Simple pendulum A swings back and forth at twice the freqyv qx60p yms cpi 7o(7u56r+cbuency of simple pendulum6( u 76prbcoyvsp0 m 5icxq7+y B. Which statement is correct?

  If you take a given pewj t;oj4m8 e v8x7:vk7xpb4 tdndulum to the Moon, where the acceleration of gravity is less than on Earth, thvt7jvmtx 8: d b4o8w;ejk74pxe resonant frequency of the pendulum will

  Curve A in Fig. 11-1 jqo:fy 6r6/jzrepresents

  Curve B in Fig. 11-1m fzc3fy g,3f( represents

  Curve C in Fig. 11-1 ridar ;4 d;bp.gepresents

  For a forced vibration, the amplitude of vibration is found to dsh, 4/reomx,o+z0:d oj r5 flxepend on the

  In a wave, the maximum da0a 3sgz6zc0y isplacement of points of the wave from equilibrium is called the wyag0s6 z3zc0aave's

  The distance between successive crests on a wave is c gqd j7qf;a1.ealled the wave's

  The number of crests of a wacp *x 89sj0magww,f,d+.fee tve passing a point per unit time is called the wave's jpd8 + wf,0fs tcx*e9.e,gwma

  For a wave, the frequency times the wavelength is the wave's qdr2/ bi9cm,bqp3 mj 5ztkd.-

  The frequency of a wave8s1zm; v;ms2 kdvopt; increases. What happens to the distance between successive cr ;8;k2;pmv vosds m1tzests if the speed remains constant?

  A wave moves on a string with wavelength l and frequency f. A second wavew(imz(l6 su c, on the same string has wavelength 2l and travels with the same velocity. What is the frequency of t(c6 (zulism w,he second wave?

  Consider a traveling wave on a stringt 16: xn jlbm9v3jwm( gyp7rh/ of length L, mass M, and tension T. A standing wave is set up. Whi1bh: j7/6gpmrv( wxt9j l3nym ch of the following is true?

  A string of mass m and length L is under tension T. The splmnmu1yz5m4 gcm;q+9 n9c dv0eed of a wave in the string is v. What will be the speed of a wave in 9v zq nmclm0dnu19yg4;c 5+mm 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 tension T. The speedt4y q6fwz3f2 y 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 in m6f3y ztq4wfy2ass?

  A string of mass m and length L is under tension T. The speed of a wavoe,ywr ,;e6hm e in the string is v. What will be the speed of a wave in the string if the tension is increased to 2Te 6;ohwyem,,r ?

  In seismology, the S wave is a transverse wave.p5/,cx ef6pij a:.vy l As an S wave travels through the Earth, th exv f6/.ai5:yp,plcj e relative motion between the S wave and the particles is

  In seismology, the P wave is a longitudinal wave. As a P uv:/ pdt;4/p 2 loyv*xsg.rom h g8e;ju/n s*pwave travels through the Earth, the relative motion bsym2/d*p:tppvx.l; e / *4usrouvo gn;jh /g8etween the P wave and the particles is

  The intensity of a w0 e:ntojv-:cd11gd scave is

  A wave pulse traveling f))*j nzj //puk kg(irto the right along a thin cord reaches a discontinuity where the rope becomes thicker annukrjkgz/( fi) /)p*jd heavier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pasgcpg wxq/8l/.1l8a* 5 7muar b g8e0xhjivjk9s each other on a string, one is traveling toward the right and the other toward the left. At the point that they occupy the same region of ub589l788ipjgg xqx. mv0a r g 1kw//*jchleaspace at the same time

  Two wave pulses pass each other on a strinupl t 5qih(1g6g. 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(u 6ph1qtlgi 5 that they occupy the same region of space at the same time

  Resonance in a system, such as a string fixed at jtp q28y. sd5lboth ends, occurs when

  If one doubles the tem9h99l x zst j cvx07-a5n1qz vdhwc66nsion in a violin string, the fundamental frequency of that string will increase by a factor atshh l650zdxz- 99q c6cv1wx9 nvmj7 of

  What is the spring constant of a spring thbn4 wsfxyvt 1u96g:p( jdc86hat stretches 2.00 cm when a mass of 0.600 k wv y4hx:us6jgtnb pcd 81(f96g is suspended from it?

  A mass is attached to a s s/j+51jgouo1v -gcf ycc,3 hfk9 k-nipring of spring constant 60 N/m along a horizontal, frictionless surfasjiuj9g1 f 3y,g/c-cchnkk- 1+oov 5fce. 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 amplitude?

  A mass is attached to a spring oae0 5b cy3cf kkg90um9vpaqgz2-62x 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 equilib2g ez 0bmypa9cu 6c253o9xk0 vkaf g-qrium position when it is oscillating. What is the period of oscillation?

  A mass is attached to a spring of spring constan1t)1lgpjc klq7ed r;+md eb (vf*;b 9jt 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. Iql)1*jk+ g(; jf;dbevrm cde9pt 71blt 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 through 10 complete oscil4dg p;i fgpo5gf 3e- t8f8dz8elations in 5.0 s. Whtedep pi8 3z;8d 5fogf-8 4fggat is the period?

  A mass vibrates back ab+owuov3np*o(w de9om y (cl65r;5j g nd forth from the free end of an ideal spring of spring constant 20 N/m with an amplitude of 0.30 m. Wh; lugrbv(ojmoe6d+ 3 p5cwowo5y 9n (*at is the kinetic 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 alon8m ukl ylb:bgx s6 vr1:)ybtg+2cc */cg a horizontal, frictionless surface. The oby/kc2rc)6:bv*mglg b 1uc: +lt sb 8yxject oscillates in simple 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 with amplitude of 4 cm. The energy is 8.0;7zlyeirmx,h m(5:kln 8jp s ; J at this time. The mass is cut in half, and the system is again set in motion with amplitude 4.0 cm. What is the energy of the symmp (el;k7ysrjx8n ,h5i:z;l stem now?

  A 0.50-kg mass is attachedj:(nebt5 biwfg.s0/ w 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 ( few.t /bgj5sbni:0w1.5 m/s at the equilibrium position. What is the amplitude of vibration?

  A 0.50-kg mass is attached to a spring of spre b1mjf s3lgzp6;mf ;7xtjx/7ing 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. At what location3mpfxj;fe m7 76t lbz1xg/sj; are the kinetic energy and the potential energy the same?

  A 2.0-kg mass is attached to the end of a horizontal5ac 9o fp,bepr3g1ud0 spring of spring constant 50 N/m and set into simpuo r93g1,fd5p e 0pbcale harmonic motion with an amplitude of 0.10 m. What is the total mechanical energy of this system?

  A 2.0-kg mass is attached toz :id89d3k onfbl)qa(jx l:1 g 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 energ:(kq dbl8n1zj :3i 9xgold)af y of this system?

  A mass vibrates back and forth from the free end o2k34evii+2 v6knxu0 sac8kykf an ideal spring of spring constyax u83ivvsk2i 0nekk4c6k2+ant 20.0 N/m with an amplitude 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 fromg41w h;fsfi5i its equilibrium position and released. A frequen hifwif 54s;g1cy of 4.0 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 attached to a spring of spring consu8jfr -hl-0f4ch, 3pbol 8 xvrr*-yhmtant 10 N/m. The object ichbp hul-f*f48v3jy xrl or8-0- mh,rs displaced 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 ;x.cwlj,um0d a spring of spring constant 10 N/m. The object is didmwj; 0xlc u,.splaced 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 sc7*1 8u,vl( xnnlrml zpring of spring constant 18 N/m, displaced slightly from its equilibrium position, and released. What is the frequency of its vibratio,clrunm*z1 l nx7(l 8vn?

  A mass is attached to a spring. It osc (: m- 20behbqytuzea-illates at a frequency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What is the maximum velocity attaa 2yhe0e:z-(-tqmb bu ined by the mass?

  Two masses, A and B, are attached to different springs. Masx a1*mhsh-a)-.)w ok cje*c ops A vibrates with amplitude of 8.0 cm at a frequency of 10 Hz and mskhpo w*oamx)j* .c1ech -a)-ass 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 equilibr g.fhpg:-/nmnpm8gr7 ium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cmngp. g 7-p8n:rfm /ghm down and released from rest. Calculate the period of oscillation.

  A 0.30-kg mass is suspended on a spring. In equi; 3 0*ohfpn7qv-mch rnlibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional dista- cn 3qvrmn;*hf0oh7pnce of 1.0 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 the mass stretches k.qv ku jb* o6y0i05lathe 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 of0u 6 *5k ia0lvkjoy.qb motion.

  An object in simple harmonic motion obeys the following position versus tbrv1c0eu;s w 3ime equatiowesu r0cv;3 1bn:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following po)mu f:d sfxh6,1jui+k2c b.jv sition versus time equation:6)j.v:hd1mk,bf s +ujx fuic2
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the ffq+ t, au sifg wc(z;nak5h.r(07kiy4 ollowing position versus time equaticru4 af+k7 k5.hiztwyq( ,f ;0 ga(nsion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simphf 8dchl;r/ r; s9ifz0gy4 xggl,bp2(le harmonic motion according to the equ02rxffhhd (lg8p9;g4i l;ybz gs ,cr /ation $y = 0.50 \; \sin (18\pi \times t)$ 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.v75h z zl*swu2(b(pn z0 N/m oscillates on a horizontal, frictionless track. At t= 0, the mass is released from rest at x= 10.0 cm. 7b2ws lp n(u zh5(zzv*(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 swiq0cpq1-r zrr 5ngs in 8.0 s. (a) What are its frequency and period 1rcz5qr -0qrpon Earth?

  A 3.00-kg pendulum is 28.84 m long. What rl+2 97r*g2ecbwol,gi w z4jt is its period on Earth?

  A pendulum has a period ofmlkela2w./j9i g.( qt 2.0 s on Earth. What is its length?

  The pendulum of a grandfather clock is 1hbaw ij 0ejq(r.iq-.d--/1zf ;vi htn.0 m long. What is its period on the Eaq-wh.1inirf z0/; ta-.i-v( ejdhqbj rth?

  The pendulum of a grandfather clock is 1.0 4x 0vq2lsdu*g ynxj 3,k*mv+rm long. What is its period on the Moon where the acnvu k**3sdlmy,2 q0+rjvx 4gxceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attac c tllzs,um(. b *tfv805fif*ched 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) had been attached to , lfv8b ct0(s*5fftc. u lzmi*the string instead?

A simple pendulum consisa.pey hpda6qw6b ;zb00g:.bbting of a 20-g mass has initial angular displacement of 8.0e. It oscillates with ag6 qbbap 6:y0wb.h zedp;ab.0 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 8fb6n sflak l:t;x 7c(fdv4-ca given time. The frequency of the wav8c;t :v4bk d(nlcfa-x7 s6ffle is 120 Hz. What is the amplitude?

  Figure 11-2 is a "snapshot" of a 6ey*at 1s*o ubwave at a given time. The frequency of the wave is 120 Hz.a*b se16*t you What is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequavs 6 486qwxba9*n r,yn9ruucd0 1a k +zhm5mtency of the wave is 120 Hz. What is the wave s5k99 ,mauvz1wx b +rnqu 6d4asm*r0 ht 8a6cnypeed?

  What is the frequency of ayftjf/19c s 7h-*vf fd wave which has a period of 6.00 ms?

  What is the period of a8ya4q; gugstu*ierrb.g8) r: wave with a frequency of 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz and a wavelengthfqj+q d:m4f 1z of 3.0 mqjfd:fzq m+1 4?

  What is the velocity of a wave that has a fo2i.2brzr n.wavelength of 3.0 m and a frequency of 12 Hz?.2znf i.orb r2

  What is the frequency of a 2.5 mf0/6ogya,zcj53g kc0jz0jb/hha 3 eu a-n2 xm wave traveling at 1400 m/s?

  A piano string of linear mass density 0.0050eza 4;6apv9 oi kg/m is under a tension of 1350 N. What a zvea 4io;p96is the wave speed?

  A string of linear density 63 ku o3s,xqdp1.0 g/m is under a tension of 180 N. What is the velocity of propagatioo dxs3q3kup1 ,n of transverse waves along the string?

A wave whose wavelength is 0.500 m is traveling down a 50t44k,kh2q s uz0 m long wire whose totu24 tz qs4kkh,al 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-m long sfn6um b-z11m3kw/r ed tring fixed at both ends is 200 m/s. Which bf/61m1nrzdeu3k - wm one of the following is not a resonant frequency of this string?

  If a guitar string has a fundamental frequency of 500 Hz, which oncla eam dg p613 4buoq2w/se+ (m6nyk8e of the following frequenciesycm6q(w3ak2u +en e g1 4l6b/sopam8d can set the string into resonant vibration?

  A stretched string is observed to have four jmxd;-49 mq 1uzbh7fsequal segments in a standing wave driven at a 9shj;quf1d- zb4 mm x7frequency 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 a s3e m.l6 ii8kr 11)tzkwqos8lktanding transverse wave pattern containing 3 loops. What frequency is needed if the st1 36 leqrk1l8si)8zo tkm ikw.anding wave pattern is to contain 4 loops?

  A string of linear density ov5/bj(xebfeu8(p7i 1.5 g/m is under a tension of 20 N. What should its length 5e7jubx(e/ fp bvi8o (be if its fundamental resonance frequency is 220 Hz?

  Find the first three harmonics of a string of linear mass de; 9omaf vqv:r4nsity 2.00 g/m and length 0.600 m when it is subjected to tension ofvmf :q v;o9ar4 50.0 N.

A string of length 2.5 m is fixed at b 7qscow802zlz oth ends. When the string vibrates at a frequency of 85 Hzw2czl870 zosq, 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.