The time for one cycll; /o( gce adfxun9w88e of a periodic process is called the

  For a periodic proce 8qa v6 p7rf.::lgcvq;mnfr7xss, the number of cycles per unit time is called the

  For vibrational motion, the maximum displacemenlv0gjsu2ab jp87bz k fju3e1b0: v41m t from the equilibrium point is called th:4 mukzbbp1l 1v u ja83efj bv70j02sge

  A mass on a spring un(cx-sqk z- xe-un 9x1cdergoes SHM. When the mass is at its maximum displacement fro 1s-x(cke-x9ncxzq u- m equilibrium, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass passxoi( . lc9h6+ey4h.shf--elb,qh rpr es through the equilibrium position, its instantaneous vq4.ox h(-r6libcf re+ -s, hyh9e .lphelocity

  A mass on a spring undergoes SHM. When the mass is at max3tl7zi 5r+vmmycw-59(.b flnqi5z nj imum displacement from equilibrium, its instantanzcn(-j bwvi3r.75 mifl z9ql5y5n+m t eous acceleration

  A mass is attached to a vertical spring and bobs up and down betwfodu/,upc u68 een points A and B. Where is the mass located when its kinetic u,8cd fp/uu6oenergy is a minimum?

  A mass is attached to a z,4lt56 nmzj kvertical spring and bobs up and down between points A and B. Where is the mass mj54l6k t,zn zlocated when its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up and down v0gt+/ n +ranx)8dwhf vte7v2between points A and B. Where is the masstw 82hfdxv+/an 0evrvg7n +)t located when its potential energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down betweenz*(eijvy;co 4 points A and B. Where is the mass located when;4jo zv(* ecyi its potential energy is a maximum?

  Doubling only the amplitude of a vibrati dc0;(r 8ee:doc ,3erir u,qjjng mass-and-spring system produces what effect on ij( qdcer,3:o8r cu e0;j de,rthe system's mechanical energy?

  Doubling only the mass of a vibrating mass-and-spring system prodt76hn .xelaqtgl 4 1xjvm++q:za m b*r s((m1kuces what effect on the system's mechanical ea xn*m+km.qhsb r x(:a4e+ z 1jltg7t16l(qmvnergy?

  Doubling only the spring constant of a vibrating mass-and-spring system pr.sf 8v*j4e80fobdrl5fy4e p x)sa)kooduces what effect on the system's mechanical energybxf vf)ssp4e.of8 580yek)odral * j 4?

  A mass oscillates on the end of a spring, botl:4gh+, p zcj,+.rqhvzkg,:j zd ids3o;: au ph on Earth and on the Moon. Where is the periq+:vdh, c: gj3p:.kjr,s,+ u4 ; zo ldzzgihpaod the greatest?

  Increasing the spring constan;/4v- b,qi/w it orzbprd+g- ct k of a mass-and-spring system causes what kind of change in the res-4iqg; w,bc-virb /p /zdr+t oonant frequency of the system? (Assume no change in the system's mass m.)

  Increasing the mass M nqg3c4azp)) djwc b6mrk6 6y+of a mass-and-spring system causes what kind of change in the resonant frequency of the system? (Assume no change in the system's spring constant kw 6) 6bmag4jnz)rc3+pc k6dyq.)

  Increasing the amplitude of a mass-and-spring system causes wh+ekg fd 02kg.d56zdjiat kind of change in the resonant frequency of the system? (Assume no other changeddgek5kf .26d0ji +gzs 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 weigvns(,crcisn wi.83v 9 htless string of length L. For this system3srn nv ,8 c(is.w9vci, when undergoing small oscillations

  When the mass of a simple pendulum is tripled, the time req2y(qygw66xbggo, ;d grn +s2 nuired for one complete vibrati6nx 6g ogq2gb g2(nwy +d;rys,on

  Both pendulum A and B are 3.0 m long. The period of A is T. Pendulum A ij/9w a, ds4e p,bud;e9a5fd lbs twice as heavy as pendulum B. Whaweddap5,; udb9l j,ebs94f a/ t is the period of B?

  When the length of a simple pendulum isf) z;wq/xr)pi tripled, the time for one complete vibration incp;i)wf)qx/r zreases by a factor of

  What happens to a simple pendulum's frequency if both its length and mass are incwt*f 1qqu khtb y1kq(n q67h;44j 7wacreaseck qt*64q;whhyt77 1kqnuf 4b wq1(ajd?

  Simple pendulum A swings back and forth at twice the freqwv 5.vtzybz6r89tnje50 xkx3 8 h/ucz uency of simple pendulum B. Which statement is corr zc z36nx09weruv8b/55 .ykht 8jzxt vect?

  If you take a given pendulum to the Moon,7 xu-1 4q l xah,gei7nodo4,mf where the acceleration of gravity is less than on Earth, the resonant o7dn qx7u,e4a, oh 14-xiflmgfrequency of the pendulum will

  Curve A in Fig. 11-1 reusljt4o3r jw m8 u3t37presents

  Curve B in Fig. 11-19)wy89vu d(t. ,wvudhb 7rrda represents

  Curve C in Fig. 11-1 reprek2gt)v9s wv pi 4n.h7dsents

  For a forced vibration, the amplitude of vibration is found to depend on - hk : 9.btdyguh9qf3zqi ;9ttthe

  In a wave, the maximumqwef02s 0 pcr7 displacement of points of the wave from equilibrium is calledw rc s207fqep0 the wave's

  The distance between successive crests on a wave is called ;7m)g-a6eqkjzc )p mv the wave's

  The number of crests of a wave passing a poio )flje tub34fy0r( x5;g;emlnt per unit time is called the wave'e;yflbfut)0 45 ;x g mrj(e3ols

  For a wave, the frequency times tho6 lb*n5+4a:lggb; : p9rwjk pe;q idoe wavelength is the wave's

  The frequency of a wave increases. What happeoq oq3b2+;gtmix 7g (yns to the distance between successive crests if the spemoq+ xt gy7 b;ig(3q2oed remains constant?

  A wave moves on a string with wavelength l and freqwzcia ci36*dazp* g+ 2 c6bmb:uency f. A second wave on the same string has wavelength 2l and travibg2zc6* zi*:apw m6abc+c3dels with the same velocity. What is the frequency of the second wave?

  Consider a traveling wave on a string of leng+ il7a km(bjj7ku)z)y th L, mass M, and tension T. A standing wave is set up. Which of the b7(umlkjj+ iy )7)zakfollowing is true?

  A string of mass m and length L is under tea1 f:,xyniyvg,nbv3 3 nsion T. The speed of a wave in the string is v. What will be 3 b1 a,,vnxifg y3:ynvthe speed of 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 anpq/p+-ms6g q id length L is under tension T. The speed of a wave in the string is v. What 6+pqpsmq g-/i will be the speed 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: bxzkvji gjfyg(; j69spo0;: T. The speed of a wave in the string is v. What will be the speed of a wave in the string if t oj yj; f9pbgi6gv :xj0;z:s(khe tension is increased to 2T?

  In seismology, the S wave is a transverse wave. As an S wave t7g p-585ilka)ljswo p*u g4lkravels through the Earth, the relativeg5*- 5lo)8a7lsi l gkwpu j4pk motion between the S wave and the particles is

  In seismology, the P wave is a longitudinal wave. As a P wave tr mi i ah7nl qtvmy/3h.n9w+0g7avels through the Earn g 7 3wla9h .hymvq/it+m7ni0th, the relative motion between the P wave and the particles is

  The intensity of a wave i*zb pw,l-lmt kq.zr72s

  A wave pulse traveling to the right along a thin cord reaches a discokyxn l 5l6r*- p(ww/h2l:* / vauschrentinuity where the rope becomes thicker and heavier. What is the orientation of the reflected and transmsh 2/w/(* yvxn5h *ra-cre6u plllwk:itted pulses?

  Two wave pulses with equal positive amplitudes j z t3pmtfr24lk43xi+ 9nc5 rdk pvb.9pass each other on a string, one is traveling toward the right and the other toward the left. At t4 l3ztd.f2ckx4rb3 jkp np 9v5r+9m ithe 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 towaufedjnq f.6 d;h e/,i.rd the right 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 atdnqd 6,iu.efef.j/ ;h the same time

  Resonance in a system, such as a string fixed at both ends, occ2 p5js ,rj-forurs when

  If one doubles the tension in aexmr*63qhhb q9xj g;dvs2 / 7d violin string, the fundamental frequency of that string will increase by a facrh e6qv37dj 2;hq*9m/b sx dxgtor of

  What is the spring constant of a spring that ste,b9 :x-gss*fq 5viuyp gj,8cretches 2.00 cm when a mass of 0.600 kg is suspended from v-5g* 9b ucs,ijyxfs gq ,p8e:it?

  A mass is attached to a spring of spring constant 60 N/m -t5r6ikhi fg- along a horizontal, fricifi -5g -k6trhtionless 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 when it is oscillating. What is the amplitude?

  A mass is attached to a sprinhzveb(;kotpwu4 t:.+ ol4x vm)l;h2+x0 nm sy g 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 equilibrium position wh;z 0l+h pt.4x2( v +hstmn;y)v ue:wbx lookm4en it is oscillating. What is the period of oscillation?

  A mass is attached to a spring of spring constant 60 nkz; y .gakkui- 3m*z y5p.,ldN/m along a horizontal, frickp; kkzd ng,3m .ya-y5uil* .ztionless 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 when it is oscillating. What is the frequency of oscillation?

  A mass on a spring undergoes SHM. It goes 2 ,l()lyw me5hnbadqpoln:39through 10 complete oscillations in 5.0 s. What is the perioq:n, )lolwe( myl hbd52 3pa9nd?

  A mass vibrates back and forth kpkaw67.j sg 3from the free end of an ideal spring of spring constant 20 N/m with an amplitude of 0.30 m. What is the kinet kkspwg3.a67 jic energy of this vibrating mass when it is 0.30 m from its equilibrium position?

  A 0.50-kg mass is attached7fvvc :+p2(g kxtob( e 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. What is the to(cgb 7+pteo f2x(:v kvtal energy of the system?

  A mass undergoes SHM with amplitude of 4 cmtn nzo af6. 1pt4-b.-o57qv wo,sozcx. 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 co6v7-ot azc1 n-z5 sf.bqpn, 4.ooxwtm. What is the energy of the system now?

  A 0.50-kg mass is attached to a spring of sprin cvcm8o63w8 8pm.xwyf g constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has acf86. 83o p ycv8xmmww 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 spr*zlljda 7 hvbj4,4rk43t ; 4zqkmk3ecing constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/sajc vk4bh4el43d mzkjr 4,7l;z3tkq* 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 horizontal jw.sv,w ,j wgw)+3gtz spring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10sj)wt3wz., jv ggww,+ m. What is the total mechanical energy of this system?

  A 2.0-kg mass is attached to the end of a horizontal sp cr3j) b;vxz /d :v(zsbq7w4lzring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.b bzz xcrzs)v:( 3j7q/ld v;w410 m. What is the total mechanical energy of this system?

  A mass vibrates back and forth from the free end of an idea doefqn*a( 4d dafbd-5 i.8ol:l spring of spring constant 20.0 N/m with an amplitude of 0.250 m. Wha4( *iaode :qdl n8 bf-o5dfa.dt is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring sys2pt.9b+ 5 tzphh1qtg poemis 7+sx34utem is displaced 10 cm from its equilibrium position and released. A frequency of 4.0 Hz is observed. What frequency would be observed if the mass had been displace phb +q 25u.i19xet4s op7gp hsmzt+t3d only 5.0 cm and then released?

  A 4.0-kg object is attached to a spring is 6 j(jdk ufm0)3m5xyof spring constant 10 N/m. The object is displaced5dsyuj30 mjxi(mk6 f) 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 sp g :jei-;u3ko:7wdswftp 4 f(aring constant 10 N/m. The object is di7- :jp(wgs3 ti ;4fo ewudfka: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 spring of spring constant 18 N/m, displaced slighpgl(8kj: ah9wl m r.)-wuak; rt1 (agitly from its equilibrium posi9 wh.agp(trkj -w:ukl a1r(am )8 ig;ltion, and released. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequency of5y0 yua3wmp p8 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What is the maximum velocity atya0pmpw53y8u tained by the mass?

  Two masses, A and B, are attached to different springs. Mass A vibrates witp- )1 6cqqv /0lwrxafuh amplitude of 8.0 cm at a frequency of 10 Hz -xqua1/6 pvl)0cq fr wand 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 sprinp 5ixgv,43u e+h+xf ue0 f8pljg. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance ogupxi 4v 8ju0 f3+5e+lf hpx,ef 1.0 cm down and released from rest. Calculate the period of oscillation.

  A 0.30-kg mass is suspended on a sprinh he(nrv-+g7iv,x ed 6g. In equilibrium the mass stretches the spri +h hx-egrv 6evni,(7dng 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 system.

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass stretches th- muopc/krqp- *1m1d)8zg soj6gvzk,e 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 equat pukv 1gmz)coqd1 8 6m/ j*,gkspz-or-ion of motion.

  An object in simple harmonic motion obeys the following position versus timuy)ful *qik*e; p :gz+e equatioip u* le )u+g;qf*zyk:n:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple h a2w6ix ;1q y4ezv4p)azse0y yarmonic motion obeys the following position versus time equationxa 1zez2) i4esyv0a;w yy4p6q:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys th e/ /(gmsajde72bp -tp30kqxwe following position versus time equatione 7pbkge mxwsj(/ 0 -daqt3/2p:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a springgbon xoj82i:lp f1k6*e t;q d7 executes simple harmonic motion according to theot6 qb2:jd; fe 8p1kgo lxin7* 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 constanxst i4bh mmo;wj.k is1(+w(m4t of 20.0 N/m oscillates on a horizontal, frictionles14bj h(x m+ks.4m sowwi;ti(ms track. 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. (a) What are its frequency a g9(u ;l:tq qo)aasra,nd pe9,() ;a oq: gqalausrtriod on Earth?

  A 3.00-kg pendulum is 28.84 m long. W58f/ ciymwmy/xm w j(+hat is its period on Earth?

  A pendulum has a period of 2.0 s on Earth. Whatfqc23iuc i29dje. los2 l1)ct is its length?

  The pendulum of a grandfather clock ia;r8du0p u -bus 1.0 m long. What is its period on the Eartbup uar-8u;0 dh?

  The pendulum of a grandfather clock is 1.0 m long. What is i/04ch99fb/iprv+ +nd-d )myzp( ov jtq 2pjvjts period on the Moon where the acceleiyftv h2+9m0cbj9 j/op j4dvr +(-pqn )/zpdvration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum cons)t 73dwvu i;tqists of a 0.25-kg spherical mass attached to a massless string. When the mass is displaced i)t7q3u;v wd tslightly 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 the string instead?

A simple pendulum consisting of a 20-g mass has inifo fp4;uxak kn2+ 0 n+u(fw7zatial angular displacement of 8.0e. It oscillates with a period of 3f+ku2zn+xa (; f04wna f 7kpou.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 wavgp uc5)40k. *tcini nge at a given time. The frequency of the wave is 120 Hz. What g*0 )p.n ikcn5i4utcgis the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given ti* shk p0y )us.(vfmh8dzcdt: k-+uy:lme. The frequency of the wave is 120 Hz. What is the wavelengt0u.) -hhysd(d psku+y *kf mcz:v8:tl h?

  Figure 11-2 is a "snapshot" of a wave at a given tim o i 57z6r5.cfo5c qw,0lyt6we p5htqke. The frequency of the wave is 1z5wtq 7qc ophy rl 6e5tk5,f5.w0 o6ci20 Hz. What is the wave speed?

  What is the frequency of a wave v5 xkg luwrj 1;*7sa4 tur9w-ewhich has a period of 6.00 ms?

  What is the period oo iy9o t4)lh26: jrd7j:spoia f a wave with a frequency of 1500 Hz?

  What is the wave speed if a wqla(1q5w q6w gi g q1opxs/z0/ave has a frequency of 12 Hz and a wavelength of 3.0 (q wxil1o/0qwg 615 /gqqpasz m?

  What is the velocity of a wave that has a wavelength of 3.0 m ar9,i m( -hpirsdvtq5 et,rld- .k ;;find a frequency of 12 Hz?; 9 lfiqievi-rdr. drt ,kphm;t5 ,s(-

  What is the frequency of a 2.5 m wave ts8pe07awk9 5 or3o5ss3hqlesraveling at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is 0mdpl+l f +wm t/t7-e*)waixt under a tension of 1350 N. What is the wave speedtdl0fwtep lwm ++tma)7*x-i /?

  A string of linear density 6.0 g/m is u(zx r: v 2mbpgl6cli,2nder a tension of 180 N. What is the velocity of propagation of transverse waves along the s( lxrm 26p:vgz ,il2cbtring?

A wave whose wavelength is 0.500 m is travb7g,ll*ml, aveling down a 500 m long wire whose total mass islall 7mg, v,*b
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 stringhmvylccd ,qy1w 1lzq8w51e 0( fixed at both ends is 200 m/s. Which one of the following is not a reson(w 1y1 dqz ,5l0wlv1h8mecqcyant frequency of this string?

  If a guitar string has a fundamian* s wnhs;zs1)r*yqm b08x 8ezh4:fental frequency of 500 Hz, which one of the following frequencies can set the string0 n n qy8bs exi1)h:rfaz*zwshms *84; into resonant vibration?

  A stretched string is observed to have four equal segments in a stand;9. xsres39(kosb oz ging wave driven at a frequency of 480 Hz. What driving frequency will set up a stas99o xreb .s(kz go3s;nding wave with five equal segments?

  A string, fixed at bothf +wr :zi:,fxkb h7szvdh- qur1w-)(d ends, vibrates at a frequency of 12 Hz with a standing transverse hrf:i:fb1wvx(-zds)z,qr k7u+dw- h wave pattern 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 20wm+(x k e6d4ovl ne/f;pi,.fpn(3glo N. What should its length be if itolf fiv6 dn+e3/ ;(4lonk(mxe ,wpgp.s fundamental resonance frequency is 220 Hz?

  Find the first three harmonics of a string ofe 2)re 5ed39xb h.aflp linear mass density 2.00 g/m and length 0.600 m when it is subjected to tension of 50e.lp2eb 5rhe3 faxd9) .0 N.

A string of length 2.5 m is fixed at both ends. When the s;as s,lzja0m vb ::es3tring vibrates at a frequency of 85 Hz, a standing wal: saam;: 0bz3svsej,ve 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.