The time for one cycle of a periodic process is call)g+2wwe vewma 26 po-ved the

  For a periodic process, th wm2800 dfgpwne number of cycles per unit time is called the

  For vibrational motion, the maxu m8qw3 y ukfkun68+6cimum displacement from the equilibrium point is called tn86 yu+3kk ucu8 f6wmqhe

  A mass on a spring undergoes SHM. When the mass iay)*n2zlgx,xfso* 4y s at its maximum displacement from equilibrium, its insfy, gs4x*2)yn *zxlao tantaneous velocity

  A mass on a spring undergoes SHM. Wh3te28x gkjp8h95;yt 9t3 pnjmtfik:h en the mass passes through the equilibrium position, its instantaneouttte928k 95 mgnppk3j8t;f 3h hjixy:s velocity

  A mass on a spring undergo3ffbx32frg6is)hf m br: si5*es SHM. When the mass is at maximum displacement from equilibrium, itsr*ibi r f5fs smghbx3:f)6 2f3 instantaneous acceleration

  A mass is attached to a vertical spring and bobs up and down between poleu7 pr t sl2+t,5fi xq+:1 g 7siutufom5;tu;ints A and B. Where is the mass loc25 :itoustspt+gff7 xru teu ,l5q l1 im7;+u;ated when its kinetic energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down between po-ftn fupvz ;y3(f9 5g(nr9sswints A and B. Where isu pt nfg5 f3-fv(ysw9znr9(;s the mass located when its kinetic energy is a maximum?

  A mass is attached to a vl hm)dsv, bh./mvn)4 )n ;vblrertical spring and bobs up and down between points A and B. Where shv/l ))mvn;rdmh.bl ) n4v b,is the mass located when its potential energy is a minimum?

  A mass is attached to a vertical spring and bobs up and d59 n7ga53 qlylrx:huj z7ip:7i qczn/own between points A and B. :9qn j77zna5ixzl3h7i lrc y:q p5ug/ Where is the mass located when its potential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-spring system produces wha:k x .i/ q9(nsazd5weaop1t 0xe4j q4lt s1wod4x5 na/0e 4.: kqqjl 9(ipaextzeffect on the system's mechanical energy?

  Doubling only the mass oz+fn *xwh l)gehywj943 o5 2ujf a vibrating mass-and-spring system produces what effect on the system's mechgwhw35hyl +*2uz njox49f )ejanical energy?

  Doubling only the spring constant of a vibratingz yu-u ;snr(84zjs+5,o dpyud mass-and-spring system produces whats48yu 5o ,jrzu+ddyuszp( ;n- effect on the system's mechanical energy?

  A mass oscillates on the end of a spring, both o.t*p4gjck2;xw(ixld l n j4v3 jbrv68n Earth and on the Moon. Where is the period the tvi lv*r;xpj. jjl4(4 x8ngwd6b2c 3k greatest?

  Increasing the spring constant k of a pz xv:+jm 8o(hmass-and-spring system causes what kind of change in the resonant frequency of the syo(vp h 8j+xzm:stem? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system bgxo/9p +vmya o5k-v-0n3tff causes what kind of change in the resonant frequency of the+o0pv n xa fg5tmoyv-fk39-/b system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude ofq*w e: ungdw-.z d- jkgfaa1q0.*vd.f a mass-and-spring system causes what kind of change in the resonant frequency of the systevqgaw- .-g:1df * u a .q0kednwdzj*f.m? (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 Mjkh1+hmd,k b4 leoln9 do 331x attached to a weightless string of length dhljbml34 e3 h1 nokdo +x,k19L. For this system, when undergoing small oscillations

  When the mass of a simple pendulum is tripled, the time required fl;,y6as vh6i njt):kvsw1 9ot or one complete vibrati:ohvs9 ,tlk6as 6 1ji);t nywvon

  Both pendulum A and B are 3.0 m long. The period of A is T. Pendulum A is f3wmsjlt4p lt3sgm8a )gnf)x*n s)/-twice as heavy as pe/f f-t)s84majm n)3spg*)w lg xt 3slnndulum B. What is the period of B?

  When the length of a simple pendue3u.*z,tuc z flum is tripled, the time for one complete vibration increases by azfeuz* u,tc3. factor of

  What happens to a simple;)dzmrz -sz p+ pendulum's frequency if both its length and mass are inc;d)+s- zz pzmrreased?

  Simple pendulum A swings back and forth at twice the frequency ofxn , j.gvdlkl1(hk3,l simple pendulum B. Which ( ,3gl. n1kxvkll jhd,statement is correct?

  If you take a given pendulum to the Mogjiyue:63 fmm g8mox5l 4;3 zfon, where the acceleration of gravity is less than on Earth, the resonant frequency of the pendulum jiyml3o3;4fgzemug8x6 5: f mwill

  Curve A in Fig. 11-1kaj t lv31/7b:;xx jlph5dx0 o represents

  Curve B in Fig. 11-1 representsv aycoxo qrn0a2)0n (/,2xwiynned (1

  Curve C in Fig. 11-1 represen(61bkj5o0kixeoo p s,ts

  For a forced vibration, the amplitude of vibration is found )tik 06.e*xxdpbn. o dto depend on the

  In a wave, the maximum displacement of points of the wave from equilibrifslxbl2w.nc;z43 vl / um is called the w2/;bsl4flwcnv lz.3x ave's

  The distance between9;o5o.v1i kbfh ;.9 nqmp lrgd successive crests on a wave is called the wave's

  The number of crests of a wave passing a point per unit time is ca. 43xykmx.r a4nbs* erlled the wave'ka4x3esmybxrr . 4.n *s

  For a wave, the frequency times the wavelength is the wse83jyn-3iijo8 oj 1j/ n0ipuave's

  The frequency of a wave increases. What happens to the f3 fri 90bl*3bkq df4vdistance between successi9 iblbr3*f3 fkqdv f04ve crests if the speed remains constant?

  A wave moves on a string with wavelength l and frequency)en e:bg;:1pygoep 5j f. A second wave on the same string has wavelength 2l and travels with the same velocity. What is the frequency of the second wave j5 py)enbp1oeg;e:g :?

  Consider a traveling wave 1*j v*goqi)lr on a string of length L, mass M, and tension T. A standing wave is set up. Which of the folloi *o )rjq*glv1wing is true?

  A string of mass m and length L is under tension T. The speed of a wave in the(j9jr9wk-yu yb g ly 1-1ljmx0 string is v. What will be the speed of a wave in the string if the mass of-1ywmkblj-1uj(r yj 90x y9 lg the string is increased to 2m, with no change in length?

  A string of mass m and let 1 uz/wmyo0a6ngth L is under tension T. The speed of a wave in the string is v. What will be the speed of a wave in the string if the length is increasedyw1u z/ot m0a6 to 2L, with no change in mass?

  A string of mass m and length L is under tension T. The spz+k dt qaiq+ ()p0e8opeed of a wave in the string is v. What will be the spez )eidp0taqk8 ( oqp++ed of a wave in the string if the tension is increased to 2T?

  In seismology, the S wave is a transve 5pq 4a4*kqfyqrse wave. As an S wave travels through the Earth, the relative motion between the S wave5 f a4q*p4kyqq and the particles is

  In seismology, the P wave is a longitudinal wave. As a P wave travels thri ()9*wcsvpqsough the Earth, the relative motion bes(s vpcq)*wi9 tween the P wave and the particles is

  The intensity of a wavew m-hea9t v)h0 is

  A wave pulse traveling to the right along a thin cord reaches a dx ,q)egv0awao )m 2c)4i:rpmriscontinuity where the rope becomes thicker and heavier. What is the ori ,rm0:oxg4 ) a)c) 2mwqpvaireentation of the reflected and transmitted pulses?

  Two wave pulses with .zm (xhdell(g7v-r(l equal positive amplitudes pass each other on a string, one is traveling toward the right and the othlx7 dlz (vl-gh((me r.er toward the left. At the point that they occupy the same region of space at the same time

  Two wave pulses pass each other on a string. T w grdx/l (5wmku(;8xydyyb l6/b+tc sv71yd3he 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 that they occupy the sadlvk 8+/xc5d;y(bm ylb t 1r3s7ygww6d /xy u(me region of space at the same time

  Resonance in a system, such as a strsv 175qy7iqs03n1y, b b wevjring fixed at both ends, occurs when

  If one doubles the tension in a violin1)iliz 1 9vxnt string, the fundamental frequency of that string will increase by a fi1) 1v9ti lzxnactor of

  What is the spring cchh75 y-jyny2lrm4n hl 698 uzonstant of a spring that stretches 2.00 cm when a mass of 0.600 kg is suspended froz8llyn5r29cy 4 mj h-h7nu6hym it?

  A mass is attached to a spring of sprnwjjs57fdu3,fn c ,6fing constant 60 N/m along a horizontal, frictionless surface. Thend3 jufff,7 6jw s5c,n 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 of spring constant 60 N/m along a horizontal cqp b9o6i3*y*scvhiq.-bt s071c h gz, frictionless surface. The spring is initially stretched by a force of 5.0 N on the mass an-b10t iq i cphsy*c 9vsb6h3.o* g7zqcd 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 conshozz-rf 9kx .n ;nq (ojlrz-)+tant 60 N/m along a horizontal, frictionless surface. The spring is initially stretch9 z ;j-o.zxz(ql)f rrk+o- hnned 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 t* ps48tk6by uf+n* h;mkfa cl/hrough 10 complete oscillations in 5.0 s. What i8ph*ut4kcy f/nf+6 *sba m lk;s the period?

  A mass vibrates back and forth from the free eizv-m0o p- h be19:blend of an ideal spring of spring constant 20 N/m with an amplitude of 0.30 m. What is the kinetic energy of this vibr pe 1ehz :b9-0vmbiol-ating mass when it is 0.30 m from its equilibrium position?

  A 0.50-kg mass is attached to a spring of springo9hv lp)hrg*,k g(mc grn u)+) 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. Whalchu+ )m)vh*g, r )9 gnpro(gkt is the total energy of the system?

  A mass undergoes SHM withe3ap34 (lrj ar amplitude of 4 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. What is the energy of therl3jerp43(a a system now?

  A 0.50-kg mass is attached to 2qpn 6a6gg5ayhxi)x +,o- av ta spring of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has-oq2g 6 g5n+vhy ),6taixxap a 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 hor(v,j kc hp1g:ifbwb -9izontal, frictionpbifgv , hcj b(-9kw:1less surface. The object oscillates 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 attache l;-(egl8gaix 8ul*gl d to the end of a horizontal spring of spring constant 50 N/m and set into simple harmonic motg* 8ielxlg8l (ula-; gion with an amplitude of 0.10 m. What is the total mechanical energy of this system?

  A 2.0-kg mass is attached to the end vr5gsn b1(84 2anu jhzof a horizontal spring of spring constant 50 N/m and set into simple harmonic motion with an amplitude ofs(n 8b1j h5nzgvra2 u4 0.10 m. What is the total mechanical energy of this system?

  A mass vibrates back and dir v:wj9 1 wop/ da:r;i6ds(zforth from the free end of an ideal spring of spring constant 20.0 N/v o::1zw6asid p/(r 9ji dd;wrm with an amplitude of 0.250 m. What is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring syst;in/w43a /g 7gxd i4mym d01fk9 dsrixu00nqtem 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 disp/n90fmtud40gd i7 imq0xg3yw n4d;1 xiasr/klaced only 5.0 cm and then released?

  A 4.0-kg object is attached to a spring of spring constant+wm5x8 /br +/gbt4h*nt u 3zkpp0xecf 10 N/m. The object is displacee/fgbmt pcwzt/ n0h5kb+*+4xpr8x3 u d 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 n (inq1bo; h*2vs uuz5of spring constant 10 N/m. The object i1n qob5 *i unus;z2v(hs 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 aa(fvt a vqo16uo(uuf89o +4lo spring of spring constant 18 N/m, displaced slightly from itoauuft+(o f8auvol q1 o4 9(6vs equilibrium position, and released. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequency of 1m80g;d -he4r+ o6 txowce*bx b.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What ix*- ro 8 wh6gbx;d4t +bmeoe0cs the maximum velocity attained by the mass?

  Two masses, A and B, are attached to difzegjw-a, ; qz5ferent springs. Mass 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 -5a,e;jqg zwzof A compare to the maximum speed of B?

  A 0.30-kg mass is suspended q8 5gge9w:sx3 kk/ bfcon a spring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an addic8kxs f eg35gw9/ q:bktional 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 equilibrium the mass strt anxz2: a3w:retches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and r3nr :zt:aax2w eleased from rest. Calculate the total energy of the system.

  A 0.30-kg mass is suspended on a spring. In equil 6qpxa*+agf,wibrium 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 do 6+ga ,*pafxwqwn its equation of motion.

  An object in simple harmonic motion obeys the followiw9r-ra.r wba t3(q0r wftp9,ong position versus time equatiorf, w9t pb3ro w9q r-a0rawt(.n:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following position vers5 - zg/u+-)wzj(-xbyzbqse,hyggk r/us time equatio- z-b5k qjz/,gbx/u-w (yh+)ygs ge zrn:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harm,i vryruo (/lhec z*xtv.7s+5onic motion obeys the following position versus time equatvrr.*5 tle,vxo (c7yu izs +/hion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring exe naf;o)ma( a.ecutes simple harmonic motion according maa;e(af.n ) oto 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 constant of 20.0 N/m o7p5wvkg*p753 psjzn0j zf/0 b1sbrf mjxn w18scillates on a horizontal, frictionless track. At t= 0, the mass is released from rest at x= 10.0 cm. (That is, the spr0 fkzx30s5w*vg/ r18m5zfbpswjjpn77 1 njpb ing 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 cs 9 v3: rj-k)vav bw;oo)hyb.aomplete swings in 8.0 s. (a) What are its frequency and period on Ev;vo93-.:vbj)bk hsa oa)y r warth?

  A 3.00-kg pendulum is 28.84 m long. What is its period on Earth?))xu)q9.z7 5:vdykxl max cy9 kl*mnc

  A pendulum has a period oi,b+6dyoefvn-s +g6c8q :dix f 2.0 s on Earth. What is its length?

  The pendulum of a grandfather clock is df*qk yb+c :g/1.0 m long. What is its period on the Eartc g+d/f:k* ybqh?

  The pendulum of a grandfather clock is 0iqg9n 05y ct9ts;xql1.0 m long. What is its period on the Moon where t9;9 nt tq0scxg5 yiql0he acceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherica1s bxm7 c*ie7/,3cdhfeiah8tl 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 resu7sm,dcteeha1 ibx 87*3hi/ cflted 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 in6*fhuj7 h- u hkuky*jt71.xnoitial angular displacement of 8.0e. uhuk jf1nh*y*k. t7u -6xjo 7h It oscillates 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 given time. jaubfz: ch cs3y2ikge c*j(:i96*s b+ The frequency of the wave is 120 Hz. Wha2 bi6 k:fya+ jj*(bc 9*sg iuhcce3z:st is the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a give)ob,rtg (kxd 2lp z;fdqo5)9 hn time. The frequency of the wave is 120 gfo9d;lztb)k ,5od h( x 2qr)pHz. What is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frb b 9qlb2b8jp f2o)9tr-th -tdequency of the wave is 120 Hz-q 9bh)f9bp dl2rj8b- o ttb2t. What is the wave speed?

  What is the frequency of a 7t5 g- er n .+9v:wkksckv:gjmwave which has a period of 6.00 ms?

  What is the period of a wave with p(q+q/lalu +pz 9qkz4 ag44pc a frequency of 1500 Hz?

  What is the wave speed if a wave has a frequency o4.yv, x qbb 1zrfd78ntf 12 Hz and a wavelength of 3.04f .nr bqbtv17 ,dx8zy m?

  What is the velocity of+1qhml:6/. ,e ezcl ziyhbr9p a wave that has a wavelength of 3.0 m and a frequency of 12 Hz?9 ,eeqh.li+6mrzb zl:h c1 /py

  What is the frequency of a 2.5g p9et 91t).sqbif(zj m wave traveling at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is under a tensjp;(;+:zyy h vfkg01lnb j5tfion of 1350 N. What is they0 ftzljf1:y ;khb( 5+vpj;gn wave speed?

  A string of linear densit2o 9/+9j 4lizgprvijn fzs q(-y 6.0 g/m is under a tension of 180 N. What is the velocity of propagatio/ ij l-jzgprqs+49zo2n9vf( i n of transverse waves along the string?

A wave whose wavelength is 0.500 m is traveling dowmn19fsj m 2qt*n a 500 m long wire whose total12*jtn9ms fmq 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 stri8 (uhylfq/e n3ng fixed at both ends is 200 m/s. Which one of the following is not a resonant frequency oqf/ e(uy3hn8l f this string?

  If a guitar string has a fundamental frequency of 500 Hz, which one of the fxx6 pgjy9xuqq: y-u6 ,ollowing freque:u, x qxy6-gy u6pxj9qncies can set the string into resonant vibration?

  A stretched string is observed to have four equal segments in a standing w:xsqrms nbs2 dv7p21;ave driven at a frequency of 480 Hz. What driving frequency will set up a standing s1ndm;br 7x2ssq p:2vwave with five equal segments?

  A string, fixed at both ends, vibrates at a frequency of 12 Hz with cwn l sl5(m4)ca standing transvsc5lm() w4l cnerse 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 20 N. What sh xj8au:ky0vmwt3 ) 4reould its length be if its fundamental resonance frequen3r40x )k8yv:ue mtja wcy is 220 Hz?

  Find the first three harmonics of a string of linjq1t7 m3s e)wlear mass density 2.00 g/m and length 0 jq t1w)3emsl7.600 m when it is subjected to tension of 50.0 N.

A string of length 2.5 m is fixed at both 3b 0t2)h7 bj5raxsjk 7i7bzypends. When the string vibrates at a frequency of 85 Hz, a standing wave with five loops iyxpbtj5a7 zr)kb7hs 7i2 30 bjs 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.