The time for one cycle of a /wts dk 5nl-:kperiodic process is called the

  For a periodic process, the number t9mdgb) :ax g.of cycles per unit time is called the

  For vibrational motion, the maximum displacement from the equilibriuskky*)32 xavtq38 fwy m point is called th x3 fy*8qwkvk32ty)sa e

  A mass on a spring undergoes SHM. When the mass is at its mal1 lnybr +.7h o.uqf0nximum displacement h+.1n0 ofln7.l qryb ufrom equilibrium, its instantaneous velocity

  A mass on a spring undergoes SHM. Wlyx3 y mnum2dqu )vq6f)1.ok-hen the mass passes through the equilibrium position, its instantaneous.u2 qvku)n3 6qo1f dlm-y x)my velocity

  A mass on a spring undergoes SHM. Whena rg, nb8(wf-jc w1sca,2(gnx the mass is at maximum displacement from equilibrium, its instanta -jw(aarxbw g(,cn 82s ,1gncfneous acceleration

  A mass is attached to aogl l47 r(epc;;btg,m vertical spring and bobs up and down between points A an cm7l ;(gtre,o4b; plgd B. Where is the mass located when its kinetic energy is a minimum?

  A mass is attached to a vertical 3im 1 q2d+pr;1ar/lv ur6axd zw*mj7p spring and bobs up and down between points A and B. Where is the mass located when its kinetic eneprd7l rd*21vp+au6 m r;1j imq/ az3wxrgy is a maximum?

  A mass is attached to a ver :4bdsm-ura.6 z4rknt g0yk+c.m-o detical spring and bobs up and down between points A and B. Where is the mass located when iu:k.yazm 0g.consd- 4+m 4-dk6treb r ts potential energy is a minimum?

  A mass is attached to a vertical spring and bobs up and dow3 vu6byj -u7esn between points A and B. Where is the mass located when its potential energy is a maxi76y3beuvj su-mum?

  Doubling only the amplitude of a vibrating mass-and-spring system produces whuot )l iv-+ fzau0(e ewe8vf()at effect on the system's mechanicaf8+efo0a-wie( v)zel t u (u)vl energy?

  Doubling only the mass of a vib/ is,f pm qgqqjs.6+(grating mass-and-spring system produces what effect on the system's mechanical m/(g.jspg,i qf+6qsq energy?

  Doubling only the spring constant of a vibrating mass-and-spring sysr4qy1x+zee )e tem produces what effect on q1zyx 4)ee+er the system's mechanical energy?

  A mass oscillates on the end of a spring, both on Earth and on the Mpr z/vl55fk2mw 09y bj1wep(toon. Where is9(p20yp5mv f5wwbl 1krzte/ j the period the greatest?

  Increasing the spring connss( 6 w7wi nrj;;hna *:rbz8tstant k of a mass-and-spring system causes what kind of change in the resonant frequency of the system? (An r wzih:*s (78n ;tbswn;aj6rssume no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system causes /8khr*l7ryp t what kind of change in the resonant frequency of the system? (Assume no cha*/rhp8ryt7 klnge in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system causes what kind of cha/: bqw wm hf30c9vlgcwd)/ ,pumqnl:7nge in the resonant frc wmwl v3 mldcp:0nq)//,qgu97w b:fhequency 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 weiw+ 5ihyrij(z3ghtless string of length L. For this systemhz3(yrw i ji+5, when undergoing small oscillations

  When the mass of a simple pendulum is tr3yp t eca13 p;*3vfmpqipled, the time required for one complete vibration3 c;3ap*qp y1f 3mtpve

  Both pendulum A and B are 3.0 m long. The period*q2kps *uv i2v w-(hnw of A is T. Pendulum A is twice as heavy as pendulum (*2 n*p2sv hwi-kq vwuB. What is the period of B?

  When the length of a simple phj3n .fl59.wpv p tb5gendulum is tripled, the time for one complete vibration increases by a pnw. 5l3jbhv 5.gft9p factor of

  What happens to a simple pendulum's frequency if both its length aam:ma;o tiy.j;)m f;4 wisy l0(0mv pand mass are increase:o0m ();;yt.aymvas4 0a ifij mwlm p;d?

  Simple pendulum A swings back and forth at twice ts 5ncl w1sp *ew.a/jok4: 1su4rvwrr8he frequency of simple pendulum B. Which statement is correc. /o1srw a1juv:c* wp54slr4kw8snr e t?

  If you take a given pendu*6 .7mgqal/0rzy nr ) xhfh7dqlum to the Moon, where the acceleration of gravity is less than on Earth, the resonant frequency of the pendulh.q* d qy7gf /marlz6 xhn)07rum will

  Curve A in Fig. 11-1 represents)yff wx0la 0my cjvc: 3g2i4:z

  Curve B in Fig. 11-1 repw;m.qgj 4d xzmjn+s+.resents

  Curve C in Fig. 11-1 represent+,ayxgub,(3 * yaz vpf(x eca.s

  For a forced vibration, the amplitude of vibration is found to depend emvvvbs 3.(pt7ie19p on the

  In a wave, the maximum displacement of points of the wave from equilibrid 3ltztcb,: *xob,p7jum is called the *3t zxcotdpjlb,:b7 ,wave's

  The distance between successive crests on a wave is c 97ek;vijmm-)ajcdgjb f-6w ;alled the wave's

  The number of crests v5te wokrf23t izfk.q)*l. y71;enphof a wave passing a point per unit time is called the wave'o5e1k wzfvti3 7 rp.;.*t)y qnleh2fks

  For a wave, the frequency times the wavelength i+hag9iv z6r fjc7y2(6d4kp yms the wave's

  The frequency of a wave increases. What happens to thve j1*4e:f -k f05 qfu6qrl,mqi*njooe distance between successive crests if e6ok 4qrf ef1**,j l0 ji- :u5vfnqqomthe speed remains constant?

  A wave moves on a string with wavelength l and freq0(as /w9gb 3inh9hd0nkj0nh quency f. A second wave on the same string has wavelength 2l and trawg0/ 3ns0(9kh 0inajdh9qnb h vels with the same velocity. What is the frequency of the second wave?

  Consider a traveling 1wrc 3csk(*tmwave on a string of length L, mass M, and tension T. A standing wave is set up. Whrcmkw(13s ct* ich of the following is true?

  A string of mass m and length L is under tensip7p8 eie:abjkj8 wc ,3on T. The speed of a wave in the string is v. What will be the speed of a wave in t,kicap3p8 bj87 e jw:ehe 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 speed of a wave in the 2o fzw2d9 pw0r +c2pw3qo:roqstring is v. What will be the speed of a wave in the string if the length is increased 2+2 w d9wzrfpw3coo0qp:o2qr to 2L, with no change in mass?

  A string of mass m and length L is under tension T. The speed of p;:p oqvaa(-shg8y;p a wave in the string is v. What will be the speh ; sav8(ppya :o-;qpged of a wave in the string if the tension is increased to 2T?

  In seismology, the S wave is a transverse wave. ,tki:j9 cn(, uw*qvdt+e/vakx6+pcf As an S wave travels through the Earth, the relative motion between the Sku9+,vnt c k/fa+i* :t(jqd6xc,v w ep wave and the particles is

  In seismology, the P wavefa1n20 943p lv .dsa4jnripk j is a longitudinal wave. As a P wave travels through the Earth, the relative motion between the P wave and the particles 423r0pln npaijas1 d . 9vkj4fis

  The intensity of a wavbxoh30wj .*snojgy v m73wb73e is

  A wave pulse traveling to the rigi lx9r msb-pggs)a8l ; :eu/s;xfj6r3ht along a thin cord reaches a discontinuity where the rope becomes thicker and heavier. What is the orientatibxijegsf/: 9prrlal;;m6-s8x3)u sg on of the reflected and transmitted pulses?

  Two wave pulses with equal positive amg/ik 9w8 7 g,v o,zq(o*lyrgfced.il 8plitudes pass each other on a string, one is traveling toward the right and the other toward the left. At the point that they occupyg(ey, io c8rv8dl lk.q7og*wz,9ig f/ the same region of space at the same time

  Two wave pulses pass each other on a string. The one traveling toward the rig7cfu igj0f/e e mbj86:ht has a positive amplitude, while the one traveling toward the left has an equal amplitude in the negative diriuf8mb0 ee7f/: c6jgj ection. At the point that they occupy the same region of space at the same time

  Resonance in a system, such gz s-s0hatfa:gj* 3u5 as a string fixed at both ends, occurs when

  If one doubles the tension 29eej7ya7 9dje )amgh;hv ja)in a violin string, the fundamental frequency of that string will increase by a fea )9h7a2dh;j)e 79m vjeg yajactor of

  What is the spring constant of a spring that stret3a zw5hqst8 ntv-:b;q* bfjg4ches 2.00 cm when a mass of 0.600 kg is suspn-*;sgqbt4wh 5zb:aj8tf qv 3 ended from it?

  A mass is attached to a spring of s6gizn,o nft ls 1i82**.uopoq pring 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 tt uf *lg,psi8 zonqo 2no1i.*6akes 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 constant 60 N/q-8 +r,rrvlg gm along a horizontal, frictionless surface. The spring is initially stretched by a force of 5.0 N lrgq8 gr-+r,v 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 ole+6egb 91 drzf 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 e6e zrd+gb 1l9go. 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 undergoesz em 1ha4c.m:76 1qzff(,nkulqmo+gw SHM. It goes through 10 complete oscillations in 5.0 s. W4 1mf(z6 +olaqhnf,e7zc:qgmmw k .1uhat is the period?

  A mass vibrates back and forth sa1c g,jjwq5hfu-n*jlx e1/2 oc6)w ffrom the free end of an ideal spring of spring constant 20 N/m with an amplitude of 0.30 m. What is the kinetic energy of this vibrating mass whenw)-6xho/ s5wj2 c jgnu a, qj1fc*fle1 it is 0.30 m from its equilibrium position?

  A 0.50-kg mass is attached tx+8avr-:lbka q+nn2 q o a spring of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speedq a2rn8:-qlnk a+vx b+ 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 at this.y e-wu9oi5xsp+ ael6 mnr i.- time. The mass is cut in half, and the system is again set in- a+meo nxilw5.s-y9pei .6ur motion with 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 along a hx m7t2lvo q;-c3air (ce r:g*korizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s at the equilibrium posk ve-tc3 lcxq:; rgmr* (a27oiition. What is the amplitude of vibration?

  A 0.50-kg mass is attached to a spring 82yo bv2eqs0f .8 4 3o1pjzjx srcfh+mof 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 tfjyob13.fmv qzj22 p4 r8xe+ s08scho he equilibrium position. At what location are the kinetic energy and the potential energy the same?

  A 2.0-kg mass is attached to the endzek,m, f 4js7k 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 tokfkz4ems j,,7tal mechanical energy of this system?

  A 2.0-kg mass is attached to the end of a horizontal spring of spring constander,0* ly j(fft 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What yrfj ,l fe(*0dis the total mechanical energy of this system?

  A mass vibrates back and fn:g9 )opa31x jq iel)tc.l0naorth from the free end of an ideal spring of spring constant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kinetic energy ofijnl0 e9nx3)):c1aplgatq. o this vibrating mass?

  The mass of a mass-and-spring system is displaced 10 cm from its equilibrium pos-1xa+ 0)w+jkxi/ntwlwme u d/ ition and released. A frequency of 4.0 Hz ixi)+0uww/awk t/ e-l nm jx1d+s 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 ofgy f.8g: 6t9f)rlbmd us::ktz spring constant 10 N/m. The object isgs:)9k tu l8:bztrm.:ff dg6y 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 a spring of spring constant 10 N/m. The obje lt1fz1)pgz ve s -h(p+/gtng +-mka)hct is displaceds z hgtk+- l-z m)vfpe+ggn1th/1)(p a 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 co2k ;veb5yv9sjs*qtnpxv v 92 *nstant 18 N/m, displaced slightly from its equilibrium position, and released. Whasvpv2sxejvn 92t9k ;5ybq* v*t is the frequency of its vibration?

  A mass is attached to a4zou7s/a qbk . spring. It oscillates at a frequency of 1.27 Hz when displaced a distance of 2.0 cm 7 /ku s.4ozabqfrom equilibrium and released. What is the maximum velocity attained by the mass?

  Two masses, A and B, are atta0ix btmuhijbj87x+o a6ci 4 14ched to different springs. Mass A vibrates with amplitude of 8.0 cm at a frequency of 10 Hz 0jxx7ti 6b ji81hma4 +icuo4b 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 thmmw0:q +v skwrn+6 uj7b- dstfr9n/ d5e spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and released from rest. Calculate thed5 -+ku0/rwtrwf qnm: db nmvs+96s j7 period of oscillation.

  A 0.30-kg mass is suspended on a spring. In en+0hokr .tmu 9quilibrium 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 ooukh tn.+r9 0mf the system.

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass stretches the brm zs+2r/eib;1 wktog42* x yspring 2.0 cm downward. The mass is b2xr2m* k1se got;4 iyrb/+z wthen pulled an additional distance of 1.0 cm down and released from rest. Write down its equation of motion.

  An object in simple harmonic motion obeys the following position versus o-o:9yco 3 iurtime equatc ri -3ooy9:uoion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following position versus timaza*2 k/ca2w gaxr)y7e equaa2*w)a a 2yak zgrxc7/tion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmovu-xtld.:8g t nic motion obeys the following position versus time equation: -udlg8:v tx.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 o:ni bijcyz/72 t09r sspring executes simple harmonic motion accoo i9yjrb0c/zn t 2:i7srding 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 cii:uw 08.; yvp+mge8x2 d /9yryek0d ans*xmponstant of 20.0 N/m oscillates on a horizontal, frictionless track. At t= 0, the mass 8ydp9w8xi20 nre +0m * gp;kduyvs.yaxiem /: 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. (a) What are its freque:m5lwyklx800dl; s3;fq rr pxncy and periq3x0l dk05lxwfly;rr :sp;m 8 od on Earth?

  A 3.00-kg pendulum is 28.84 m longh,*y :b7wk abv. What is its period on Earth?

  A pendulum has a period of 2.0 s on Earth. What isfly3f p600uuf, vj2c v its length?

  The pendulum of a grandfather clock is 1.0 m long. What is its period on the Eav;ct jk9s ikock6+o;,rtk6jv,+o;9c;ock sitk h?

  The pendulum of a grandfathup pr8 *auc:yjn)/pw* er clock is 1.0 m long. What is its period on the Moon where the ac/*w)ap un 8c*p:pury jceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consis cg 3b.loo+.hh5g gld.ts of a 0.25-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 ig bcllo+ohdg..5hg 3. f 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 displacement0cvwgcfn 0bo o;q ;lx:8r 51qi of 8.0e. It oscillates with a period of 3.00 s.0oqq 8 wxnv :5f;bi01lc;orcg
(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 given tg190fs,sg 8 gi bp -hm5wrq8lbime. The frequency of the wave is 120 Hz. What is the amplit fgm-r,phgl08 s1bi 9bqg58swude?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency of the wg7z:e i- 2jat/tl-jhyave is 120 Hz. What is the wyg-t /2j t:-jlhaize7avelength?

  Figure 11-2 is a "snapshot" of a wave at a given ddjgm-d.r(d,gx 2,bnrwx q8 ok f+ 4z-time. The frequency of the wave is 120 H8rd xo wf2 +gnzkd ,g,md( j.d4-rbqx-z. What is the wave speed?

  What is the frequency of a wave which has a period of 6q4jh.0a :xj /ad mb5w- .qqeys.00 ms?

  What is the period of a wave with a frequency of 1500ch n/y 9r:qsf3kaq34l Hz?

  What is the wave speed iytn+zn7 ;han b 5kix,5q*z5fhf a wave has a frequency of 12 Hz and a wavelength of 3.0b,i*n xh5ay;h7z nnz5 +5ft kq m?

  What is the velocity of a wave that has a wavele i1v 5.c;27ys . .a6cqwne)h9cohe-yzjd fds sngth of 3.0 m and a frequency of 12 Hz?)sqz -.iawjsoy7ds96h5nyef c v2d.1hcc.e;

  What is the frequency of a 2.5 m wave traveling at 1400 m/se xi;2h5 jzj okc1tj15?

  A piano string of linear mass den*im8f aj k3is9sity 0.0050 kg/m is under a tension of 1350 N. What is the wave speedsifj9ma i38 k*?

  A string of linear density 6.0 g/m is under a tension of 180 N. What is th6 5 fo 1h2;uafljfuk0k0l7ltce velocity of propagation of transverse waves along j6ff0 c1uau ;h k5l7kl02tlfothe string?

A wave whose wavelength is 0.500 m is traveling down a 500 m long wire whopq50)vf m m +nia,i*bgse totalf5 )mb i*+n0g,qipma v 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 d+.xrf6*+c0f yorpo x4 lwwa:2.0-m long string fixed at both ends is 200 m/s. Which one of the fol6.w+ o *:4orcwlyfr0ax xdp +flowing is not a resonant frequency of this string?

  If a guitar string has a fundamental frequency of 500 Hz, which one of tg.qcgwrly n+2,b d(v ,r6nz(rgdd9h 6he following frequencies can set the string into re9w62, crz6h,ddvndygg (rqb.rn( +glsonant vibration?

  A stretched string is observed to have fh-sbm: nek n.x 7tw32kour equal segments in a standing wave driven at a frequency of 480 Hz. What driving frequency will set.s kw2knxe-:7m3t bh n up a standing wave with five equal segments?

  A string, fixed at both ends, vibrates at a frequency of 1 nu pcg+qaej(6(* 4tiw0ero(; mavgm32 Hz with a standing transverse wave pattern containing 3 loops. What frequency is needed if th( 0m mi3 re4gajc(vtg+6a(u;*nwo qep e 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 ityff .,0nmmyc b9 xqx::8 xnf/fs length be if its fundamental resonancexfc/ mqfmb ,89yx f:.ynf0:nx frequency is 220 Hz?

  Find the first three harmonics of a stxz 6u. dt2obzs b13dz-ring of linear mass density 2.00 g/m and length 0.2t.d3 bzus-z 1zob6dx 600 m when it is subjected to tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. When the string vibrates a bf(uj;f7m-ga t a frequency of 85 Hz, a standing wafj-;7ga (u bmfve 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.