The time for one cycle of a periodic proh 5*3bci flq:l0m ke)hcess is called the

  For a periodic process, the number of cycles per unit time is called thek:xbal n; 27qo,frn: 5yw axb1

  For vibrational motion, the maximum displacement from the t ; +l1pf+rdo)ye6y;bb7qix m equilibrium point is called thxy b1rmleyd7f;t+ )6bo;p +iqe

  A mass on a spring undergoes SHM. When the mask24* tu*5alanmq 7x nk- u8jzys is at its maximum displacement from najyzmx k-7 uq4l8a 2uk**tn5equilibrium, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass passes through the eqmq2o b4/tccm;i0j6zr lb l/0xuilibrium position, its instantaneoulq6cml;mb/2b0t4j ri/ oczx0s velocity

  A mass on a spring undergoes SHM. When the mass is at maximum dbt236j85 e lxyllc i7zisplacement from equilibrium, its iyl ilzx5ct2bl867 3 jenstantaneous acceleration

  A mass is attached th sm2c;xqhz5 (o a vertical spring and bobs up and down between points A and B. W2s;(h5mzhqc xhere is the mass located when its kinetic energy is a minimum?

  A mass is attached to a vertical spring and bobs up a gg8- qox6na8sajc 1i4nd down between points A and B. Where is the mass located when iscgxjai1 4n -8og86aqts kinetic energy is a maximum?

  A mass is attached to a verticalpsps-k +i8g v: spring and bobs up and down between points A and B. Where is the mass located when its potential env:si-s+8pp g kergy is a minimum?

  A mass is attached to a vertical spring and boch, /bsjlhka v)xr3g 4 fl7w6. fj-jg+bs up and down between points A and B. Where is the mass located when its potential energy is a maximuh 47)vba-gcf lrj ,3+hj xw6/k.glfjsm?

  Doubling only the amplitude of a vibrating mass-and-spring system producesnfu+: .ho tmb8hbz-0j what effect on the system's mechanthfu8 h m.+:bbjn0-o zical energy?

  Doubling only the mass of a vibrating mass-and-spring system produce foy9 x.yvhk/1 spc/+xs what effect on /kp +chy xys/ .xv1of9the system's mechanical energy?

  Doubling only the spring constant of a vibrzt9.o,(co* bw kv oh-bating mass-and-spring system produces what effehob ,c*o .b k(tov-z9wct on the system's mechanical energy?

  A mass oscillates on the end of a spring, both on Earth and on thegdneb:6w3u zq8 - i9st Moon. Where is the period the greag-wqd:6 89i t3suenbz test?

  Increasing the spring constant k of a mass-and-spring systemppm).exe :cie n3q1.ungdt(8 causes what kind of change in the resonant frequencyu ptn8dpgnee1.i3 . exm:c()q of the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-6p6iy klets e w9m.thi(bz8y/2, vi4y and-spring system causes what kind of change in the resonant frequency of the system? (Assume no change ih ezvpbyk2 , (i94tslyt.i8y/6ew im6 n the system's spring constant k.)

  Increasing the amplitude of z(g9, v pn(uwaa mass-and-spring system causes what kind of change in the reson9,(gzp wvnu a(ant frequency 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 masszamz(uh7k6mc o-y -* mk+3 faj M attached to a weightless string of length L. For this system, when undergoing small oscillz*(-3umyo zc6 a k+j7hm-fmakations

  When the mass of a simple pendulum is tripled, the time required for o+j3j yl8jy v n*(rqz5tne complete vibratiotrn+ 3(y l58qjjz yv*jn

  Both pendulum A and B are 3.0 m long. The period of A is T. Pendulum A 9tb; d;oi-q 3s8 x-m:+xbypwg( f/ob c) dgwnris twice as heavy as pendulum B. t; bo:)9d r(wsi-/wbb + f ogdcqmn-xpxg;y 38 What is the period of B?

  When the length of a simple pendulum is rmpcgtw 66l f8s6d r70o4p,p ,whbdx* tripled, the time for one complete vibration increases by a factor ofr7pcp8sg wx6 w0 d6fo 4pdbmr,l,6*t h

  What happens to a simple pendulum'6acfnqh e-7l y4mgt.g;c+h y5s frequency if both its length and mass are in7g-lyq;n.amht5f e+cg6y h4c creased?

  Simple pendulum A swings back and forth at twice the frequency of nl6wn.y 6e c71k(s bjgsimple pendulum B. Which statement is corrects b6(n 7cwn.gylj1k6e?

  If you take a given pendulum+ -raigrjg+x) to the Moon, where the acceleration of gravity is less than on Earth, the resonant frequency of the pendulum xg-iajgr)+ r+will

  Curve A in Fig. 11-1 rep eevasa:a btv6z9io( rkn8m .vkg 970(resents

  Curve B in Fig. 11-17 f)2gm6tu b:/atnmk06xf jj b represents

  Curve C in Fig. 11-1 reprn 6mi),k c2whresents

  For a forced vibration, the amplitude of vibration is found to depqqi oz705iwm4 2d2vtcend on the

  In a wave, the maximum displacemejbtaynk5 1qyj+ v 513vnt of points of the wave from equilibrium is called t1jq3nkt5b+y vyjv 5 a1he wave's

  The distance between successive crests on a wave is called the wa7w )ewhyf;n6ave's

  The number of crests of a wave passing a point per unit time is called the wave',09n x mkq6to6 hk8dtbs0t hkbo96d8k,qnx mt6

  For a wave, the frequency times lqyvsjt **p4):ie3 qethe wavelength is the wave's

  The frequency of a wave increases. ws ,)mra7-/em p9phhe;d6mwlzoj.a4 What happens to the distance between successive crests if the speed remains constant76 e ;w j,eam)/aldmrp.phs mwo-z4h 9?

  A wave moves on a string with wavelength l and frequencel km fqb9swb* wy39r2t;, h+uy f. A second wave on the same string has wavelength 2l and travels with the same velocity. What is the frequency of the secondqeryl9,kwwh ub+sf*32t 9;bm wave?

  Consider a traveling wav7+p y0:;8gt2;xxrkk nfb 02ycsny ihme on a string of length L, mass M, and tension T. A standing wave is set up.kh0k 2 p8fc+ib ;mnxn;7t2ys:ry0 xgy Which of the following is true?

  A string of mass m and length L is under tension T. The speed of a wa e)) vof;y.q9v nf*npzve in the string is v. What will be the speed f)*fq.pv;nnoez) 9yv 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 and length L is under tensh:6 keq+yq+d +kjhw;rion 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 increased w+:y;+jh d rqeh6k +qkto 2L, with no change in mass?

  A string of mass m and length L is under tension T. The spee6:.6 *afmwi6pb1:i pelad) vt a4svu hd of a wave in the string is v. What will be the speed of awva4p : *ep)f6m v 6d.btlsu1i6i: aah wave in the string if the tension is increased to 2T?

  In seismology, the S wave is a tran41v00bxu ,:guekqgdjkmp8 o 3sverse wave. As an S wave travels through the Earth, the relative motion betwe8d xumpe:vgk1buq, g4 k0o03j en the S wave and the particles is

  In seismology, the P wave is a longitud5k,m3 vdvg7 v .5 f8hapzhp.psinal wave. As a P wave travels through the Earth, the relative motion between the P wave and the particles .pp3,h5pamdshk .7 5 z8g vfvvis

  The intensity of a wave lp kvpe/ 2v;7ois

  A wave pulse traveling to the right along a thin cord reaches,aw0 .d:cn(5utdag maat-so c)z.- pc a discontinuity where the rope becomes thicker0-:wat .)mcsog5un(z- pdact ca,d .a and heavier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass eac;(g oyb vxt,-l7t.vpuh 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 space at the sam,tpvul7g( vx ;yt- bo.e time

  Two wave pulses pass each other on a string. The one traveling toward the righ8h(/ wxtaap; l 8u(bodrqjp:fb;u / i,t has a positive amplitude, while the one traveling toward ; fpbup(boi/(q8ht xr,wl/ j; ua:8dathe 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, occurs whe . +zsygg jt13szfdtv9,h j(2dn

  If one doubles the tension in a violin string, the fundamenta1c;w nl-y tu3vl frequency of that string will iv yt -3cwnl1u;ncrease by a factor of

  What is the spring constant of a spring that stretcheutlb +g k4ui.l o65eq0cp83e+2m m17atenu fis 2.00 cm when a mass of 0.600 kn ip7t 2eu+kou 8l4qgmf.u0 ec6tb 1+5mila 3eg is suspended from it?

  A mass is attached to a spring of spring constsc+ :/. xwlvofzi)it6a bgi 8x2.)riqant 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 +:z iv i)2oiq8 .wc)a6i/g.tr x lsfbx0.50 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 horizzj xen8m8li);ontal, 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 when it is oscillating. What is the pelx;m8ez8 i n)jriod of oscillation?

  A mass is attached to a spring of spring conyuff k),5hp:27t()r 2ykmuci8ie etzstant 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. Itr yp )y)f2ct5uhu k z8ie(2emik :,7ft 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 oscillations in 5eamevvc :e**6(fqr:k 0wf 2w3)cqkx2k0zk d i.0 ivdke)6*feak zk x3frm(weqv cc2:0k:q2 *w0s. What is the period?

  A mass vibrates back and forth from the free end ,68 eeoat)gbh( fo*t g(/gljrof an ideal spring of spring constant 20 N/m with an amplitude of 0.30 m. What is the kinetic energy of tb(eta*)g h ggo ,/(lrj8oe6tfhis vibrating mass when it is 0.30 m from its equilibrium position?

  A 0.50-kg mass is attached to a spring of spring constanbv*ip aqsf231hot838t1rl( fe8gpiv t 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harta l 8ftg3pv*( 8p hrbiq12 1ov8sfe3imonic 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 SHM4qlcvw-s ;k2a ibro 3. with 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 amp-wo;k4qa2bv is.r3lc litude 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 horizor)xg b (2hedy,ntal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s at thery2x(h ebd)g, equilibrium position. What is the amplitude of vibration?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m alorvvgas8,54j:s s ab3r7qwcxs97+ u uang a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s at th u78 +bss4cru9s,g5avvq7swjax:r3 ae 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 spring of spriq e+ (az.2suzmng constant 50 N/m and set into simple harmonic motion with an amplitude 2zeq+ mau(.sz of 0.10 m. What is the total mechanical energy of this system?

  A 2.0-kg mass is attached to the end of adc olpx+m:q da60 +3obah)3 v+-uqqwm 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 energy of this syste) x+u3:-q0+qlm +p mb oqdo63ah cvdwam?

  A mass vibrates back and forth from the free end of an ideal spring c 9ej+3 ntvx *mx/)qnwof spring constant 20.0 N/m with an amplitude of 0.250 m. What is*n9xvn q/3wj+ t)me cx the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring system is displaced 10 cm from fy- 4hrwgyb0n; e- h2ja2l:h yits equilibrium position and released. A frequency of 4.0 y--g;hn2 bh2far:y l jy04 wheHz 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 constant 10 N/m. Thkm0wp14 ij3/-z lv sdhe object is displaceddlvi 3/w m ksp0-1j4zh 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 evn4fw0f w6n9 k0zh3tt is dis 0wk90zthe6wv34nnf fplaced 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 pbpdr7 + bia4/of spring constant 18 N/m, displaced slightly from its equilibrium position, and released. What is the+ir4adb/p b7p frequency of its vibration?

  A mass is attached t.v )v sel+w5wunu3 4(cqxes0ro a spring. It oscillates at a frequency of 1.27 Hz when displaced aue4sqe ncrlus w 5xv0.)3v(+w distance of 2.0 cm from equilibrium and released. What is the maximum velocity attained by the mass?

  Two masses, A and B, arewp62 2fso h4psy-x(ah. n.6hgdznc 4 l attached to different springs. Mass A vibrates with amplitude of 8.0 cm at a frequency6dna264.hhs 2 l(-hsxnzpcp g .4fowy of 10 Hz 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 tw0n dm6th( e1ghe mass stretches the spring 2.0 cm downward. Theh1n 0 m(weg6dt 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 suspenitzslw a8 ; bu;f+57qc*vqd+ nded on a spring. In equilibrium the mass stretches the spring 2.8dw7iz+ 5clfv+sq* buqtn a;;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 susp j.odlg9 is5m6uy6qcf x r)amap7+ w-(ended on a spring. In equilibrium the mass stretches the spring 2.0 cm downwaru-id(psm.a5rf joqa ym)66l+ g x7wc 9d. The mass is then 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 fol 62mse okv..w-uexv/vlowing position versus time equv uv2s 6/v xk.weemo.-ation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion oit) i.*oax0r5ah4 gwubeys the following position versus time equation:.*o gaxar4t50 uii hw)
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following position ver .zbvfc1w;y( csus time equatic;zfb yv w1c.(on:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple harmonic mot wn6 ipi w.n4(+ ,rzmlht*p(btion according t(r*iltznmp4 wiptw h.n( +6 b,o 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 oscillcr* vt b:ez,v-2mw9kzates on a horizontal, frictimbr *te z2k-:cvv,wz 9onless 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) Whatm2yon03nd j l nog2g;v vk/m); are its frequency and pe/ d22nm l; jvkv ng)my3gon;0oriod on Earth?

  A 3.00-kg pendulum is 28.84 m lw x3 --t6tiu7hp sys(song. What is its period on Earth?

  A pendulum has a period of 2.0 s on Earth. What is rc 1e2f:rvxijmx s b2am.cbc)y6 : 9y-its length?

  The pendulum of a grandfather clock is 1.0 m long. Whatdq+:7q a/-ra op(negc is its period on the Eap e -/:(a7gq rnodcaq+rth?

  The pendulum of a grandfather clock is 1.0 mi/*arb nc.el7 long. What is its period on the Moon where the acci br.e7l*/nca eleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical m.r :cn;9b8) egybka uxass attached to a massless string. When the mass; bu)bk:9g nry ca8x.e 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 the string instead?

A simple pendulum consisting of a 20-g massy 9ts2zo 2:ifso 2eq6j has initial angular displacement of 8.0e. It oscillates with a pzf2yto ssj :6q2ie9o2eriod 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 ah-n2u 5ze 1 *sguerktf.wqhr;foa829 t a given time. The frequency of the wave is 120 Hz. What is t;fefeo 2 .19rn8ts* wzu-r5kh u g2qahhe amplitude?

  Figure 11-2 is a "snapshot" on(k6iav 5css rvb of:: c4wz:,f a wave at a given time. The frequency of the wave is 120 Hz. What is the wavelengtr5( cvf :6:vzabsk nwi4sc:,oh?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency of thoj b 6y*c/sdf3jm3gd- e wave is 120 Hzgjyb dj6-f3m3s oc */d. What is the wave speed?

  What is the frequency of a wave which has a period of 6.00uq5(rv;t(izt ms?

  What is the period of a wd:7 zffye )9mi 6dieg)ave with a frequency of 1500 Hz?

  What is the wave speed if a wave has a frequency of eybl/7 orn ev x9h vq(714)zxn12 Hz and a wavelength of 3.0 vb(xv1z 9oq7e eh/n7rx4n y)lm?

  What is the velocity of a wave that has a wavelength of 3uv:.)8x ndnlp.0 m and a frequency of 1uldnp.v8x:n ) 2 Hz?

  What is the frequency of a 2.5 m wave traveling at 1400 mv)f,/ 2prcnyp xnss8:h-qno 9/s?

  A piano string of linear mass density 0.0 y05aagisp*jk ;6quxbon 4 3mhvy ,0p: e1ht1j050 kg/m is under a tension of 1350 N. Whh5:gp1by,;0 ya j4qamp*ekn6 tuj vxhio 3s10at is the wave speed?

  A string of linear density 6.o2 b4 7zirkox*0 g/m is under a tension of 180 N. What is the velocii 2ox z*47brokty of propagation of transverse waves along the string?

A wave whose wavelengthnqvqd) 1 h4/aw is 0.500 m is traveling down a 500 m long wire whose total mass v qn/14)q dhwais
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 tran /2ilac+fun q5sverse wave on a 2.0-m long string fixed at both ends is 200 m/s.l/qi +2 an5cfu Which one of the following is not a resonant frequency of this string?

  If a guitar string has a fundamental frequency of 500 Hz, which one ox1 t fzr j(+y-gw24gycf the following frequencies can set the strizr x1w (g+yfyjg4- c2tng into resonant vibration?

  A stretched string is observed to have four eqd;nj k45m9yvm)dym 9vual segments in a standing wave driven at a frequency of 480 Hz. What driving frequency will set up a standing wave with five eqk v5d )m9d;4yymnvjm9 ual segments?

  A string, fixed at both en.0* xat-q prpm7u/- 4sjv xb p.ovopk.ds, vibrates at a frequency of 12 Hz with a standing transverse wave pattern containing 3 loopso v. j.p/ou-br*4qa- .x7kx0pps pm vt. What frequency is needed if the standing wave pattern is to contain 4 loops?

  A string of linear d5)esxmrgq j 0:yqm3 y.ensity 1.5 g/m is under a tension of 20 N. What should its length be if its fundamental reso0ms) yqe5 r:m qxj.yg3nance frequency is 220 Hz?

  Find the first three harmono8he cgh2 rt e5qdnpr; u4/,4sd( ms:jics of a string of linear mass density 2.00 g/m and lens/ em,s 45 ph8: 4tqoh2rjgn(rued;cd gth 0.600 m when it is subjected to tension of 50.0 N.

A string of length 2.5 m is fixed at both eniwxb etl:dsp 0t j10(+ds. When the string vibrates at a fredsbp 0jtle1 (xi wt0+:quency of 85 Hz, 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.