The time for one cycle of a periodice,(jde 6gw1o:i ,pp2y aexwn2 process is called the

  For a periodic process, the number of cycles per uni7 jy8;1kahqxp8h1peyfdz5z 2t time is called the

  For vibrational motion, the maximum displacement from the equilio4uw lz:va 5* a,h9ifebrium point is called the:fu az5e,*4i 9vawho l

  A mass on a spring undergoes SHM. When the mass:9rpq. 5doy4w,4 v4esobrd t5cd zp+k is at its maximum displacement from equilibrium, its instz4: ,5rpyd5ed srwoq9cv.4d pk 4+otbantaneous velocity

  A mass on a spring undergoes SHM. When the masz4vx 7: on)te+:gytpp q7j nw9s passes through the equilibrium position, its instantaneou7ze) vy+p 7 njt:opwgx49n :tqs velocity

  A mass on a spring undergoes SHM. When the mass is at maximum displacement fr7t 7zh./e-u fwlw7w :kfzblb 0om equilibrium, its instantanfw.f7wukz0h7z :-blbt w 7e/leous acceleration

  A mass is attached to a vertical spring and bobs up and down between points A e d8.,lhwf3uw and B. Where is the mass located when its kinetic energy is a mw, l8 .fhdw3euinimum?

  A mass is attached to a vertical spring and bobs up and downoco2duadts 9 :-n,luqj)7 l)p between points A and B. Where is the mass located when its kinetic energpasoj,l d7t:o dun 9l) q)2uc-y is a maximum?

  A mass is attached to a vertii6gl36k p6x tk 9qkh1ucal spring and bobs up and down between points A and B. Where is the mass located w uxphkikk1 q366lg6t9 hen its potential energy is a minimum?

  A mass is attached to a vertiti .5;lzq a0cwcal spring and bobs up and down between points A and B. Where i05 cz.;qlw tias the mass located when its potential energy is a maximum?

  Doubling only the ampliy)xb t 4yglt014ax (mrtude of a vibrating mass-and-spring system produces what effect mx4l1a0yr 4) xttbg y(on the system's mechanical energy?

  Doubling only the mass of a vibrao 2q-+b br) m6a;dpyaiting mass-and-spring system produces what effect on the system')dp +q mr;6a-oabiyb2s mechanical energy?

  Doubling only the spring constant of a vibrating mass-and-spring s5ce-ew.c1xh - q*39blwsxn tnystem produces what effect on the syste nn1 9e35hbxxtq.*- -escwwlcm's mechanical energy?

  A mass oscillates on the end of al b n91 foshnz 11-a.ypr,q9tu spring, both on Earth and on the Moon. Where is th19 11 o y-qsaz,fluptnb.r9h ne period the greatest?

  Increasing the spring constant k of a mass-and-spring system causes what kind o seh.3gej0 dtfk(lt,1d8ia hglzbr/70 u (m y*f change in the resonant frequency o7 zsfhd/3u teymlr1 t*k,a0ji(egd h.gl 80( bf the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system causes what kind of change in mm1i)e *nzixy+sm y6)efw9z (the resonant frequency of the system? (Assume no change in the system's sprins9mi(zi *)mm 6f 1)yzexwey+ng constant k.)

  Increasing the amplitude of a mass-and-spring system causes what kind ofa3wl a.+ u)knb change in the resonant frequency of the system? (Assume no otheru a)naw+bk3l. 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 agi-j c68ph7egk nl-l** tjx voth,4)*g*r ijxttached to a weightless string of length L. For this system, when undergoing small oscl gth8jk)reigj- tplv*g h* jx*i7*n c ox-4,6illations

  When the mass of a simple pendulum is tripled, the time required(w9x3 64j+ersi6c 2k xcdev6gb xxh;t for one complete vib6c htie xjx (3dw9xve;gsrck64b+2x6ration

  Both pendulum A and B are 3.0 m long. The period of A is T. Pe*h/zmsml;:a:fmbq x q( o1 w0endulum A is twice as heavy as pendu1* bm/;mzqw:ae0 hlx mfso q(:lum B. What is the period of B?

  When the length of a simple pendulum is tripled, the time fon8/x*(1okdlbi n5hd puzv9ex13 ;c hkr one complete vibrationxbp/11iu8 d*nl;5hx 39h zevckknod ( increases by a factor of

  What happens to a simple pendulum's frequency if both its length ebs04(fj(rjem: uynw c+x81hand mass are incrb4sxn1e m+0jy(fwr u hc:j(e8eased?

  Simple pendulum A swingsbazesr 4;of4/j.v 9cm back and forth at twice the frequency of simple pendulum ma bje.f/z;vsrc44o9 B. Which statement is correct?

  If you take a given pendulum to the Moonrfyf ,-28qcqwh e:kh; , where the acceleration of gravity is less than on Earth, the resonant frequenchhc q, kyeqwf:; f8-r2y of the pendulum will

  Curve A in Fig. 11-1 ryt/r fuydt* 3*epresents

  Curve B in Fig. 11-1 lab3c1rhmm hf ,9 7*w5z7cdgk represents

  Curve C in Fig. 11-1 ts:o1.u 2akb qrepresents

  For a forced vibration, the amplitude of vibration ispe je ,8yp fm5fsn3iga.w.1.n;z fzhd) ;mqk , found to depend on the

  In a wave, the maximum displacement of points of the wave from equiv5 0+oacp s 0:mp n2/jc7:k1 vufnpsuilibrium is callj1n cv7sukum2cpv+ o p ::a5/00fn ipsed the wave's

  The distance between successive crests on a wavj,le6w7f lf 8te is called the wave's

  The number of crests of a wave passing a point per unit time is called the wa*/j+8 8ovr.5f5s6iday ps qh2lwbitj ve'8yioa* s5l/.6 thj q8sd2+vrwb 5j fpis

  For a wave, the frequency times the wave9 .l3dibqzk; 58gjmzelength is the wave's

  The frequency of a wave increases.10 w5ibilmrcjiu+ 3 iud vw:-- What happens to the distance between successive crvl:i cbiumi3jd5-0uw wr 1+-iests if the speed remains constant?

  A wave moves on a string with wa(1tr9xx+w m nd +.ghgyvelength l and frequency f. A second wave on the same string has wavelength 2l agx yt 1w nxg+h.+dmr9(nd travels with the same velocity. What is the frequency of the second wave?

  Consider a traveling wave on a string xdjj+ plez;x. s.0 rv)of length L, mass M, and tension T. A standing wave is set up. Which of the following is truelvx .0pz;ej+dxjsr).?

  A string of mass m and length L is under tension T. The speen)c0xn4hfi0ttg o xfr xk:2: 2d of a wave in the string is v. What will be the speed of a wave in the string if the mass of the string is inc f0t2 nf0:):cx4trnx ihox2kgreased to 2m, with no change in length?

  A string of mass m and length L is under tension T. The sprk., bvp5rlmz*h*pvv -io/2u eed of a wave in the string is v. What will be the speed of a wave 2 -z*m5i *phk ,v/ruvpobvr. lin 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 T. The speed of a wave in the 4cqfv5rq8 fy ,(q dfm+string is v. What wi4,d +m fq8vqqyf5(rfc ll be the speed of a wave in the string if the tension is increased to 2T?

  In seismology, the S wave is a transverf t:f3o7l rwonf evbum 7 4+9zsy7k0z0se wave. As an S wave travels through the Earth, the relative motion between the 9m zy0f7o4o :lzkwr+t3 7eb0sfnv7u f S wave and the particles is

  In seismology, the P wave is a longitudinal wave. As a P wave travels through thb++gibv+g/vobz86f mj5dca )e Earth, the relative motion be+ /a+zd jb65vbbgi) mv+ofgc8tween the P wave and the particles is

  The intensity of a wave i9a5 :uddirbt7 y vedev89kp4 -;60 qllr:ddurs

  A wave pulse traveling to the right along a thin cord reaches a d;mpbs x1zw(c+iscontinuity where the rope becomes thicker and heavier. What is the orientation of the reflzw+ msc( b;1pxected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pasww7 ks8n81j o1ajiw 4ss each other on a string, one i w8j ona1 kw8wj4s71sis traveling toward the right and the other toward the left. At the point that they occupy the same region of space at the same time

  Two wave pulses pass e9z0fk l-*r+0cu knh6zscx, erach other on a string. 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 that they occupy the same region of space ah k, +xz9k rc60lnsu-0 ezfr*ct the same time

  Resonance in a system,872r8bfut7s aj h(8q pagkg.yzeq.,w such as a string fixed at both ends, occurs when

  If one doubles the tension in a violin string, the fundamental frequenc y41 nr.zssl/; s 3/jydmxwg)yz;(c- hsugm)sy of that string will increase by.gj m s y;3z);z(4-rygmwsxsuc)/ lnssh/ yd1 a factor of

  What is the spring constant of a spring that stretches 2.00 cm when a mas(0v ( gxvg5wttirii5*6uktg1s of 0.600 kg is su6gk 5vvugt0(15ri g tw(*tixispended from it?

  A mass is attached to a spring of spring coafki :.ldcw;.9b 1z qnxmr6k1nstant 60 N/m along a horizontal, frictionless surfacebqd6cxw nak .kmz91i;l r: .f1. 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 of sprfl+g3tf ozk/ :ing 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 t f3gz: f+oklt/akes 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 ax(dg 2a r;pv3o spring 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 when it is oscillating. What is thexo23g r(;pvda frequency of oscillation?

  A mass on a spring undergoes SHM. It goes through 10 compleri5h8/nlf7 8wryz1b5t d/th cte oscillations in 5.0 s. What i7lwc 1fi/dbr t8tn5h8 hz /y5rs the period?

  A mass vibrates back and forth from the free end of an ideal spring *tz )neuv7a1iof spring constant 20 N/m with an amplitude of 0.30 m. What is the kinetic energy of this vibrating mass when it uei7n*v )za1 tis 0.30 m from its equilibrium position?

  A 0.50-kg mass is attached to a spring of spring cbyo; hf9n9 6tbx75 bksonstant 20 N/m along a horizon x9tsfnbkhb5;9yob7 6 tal, 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 total energy of the system?

  A mass undergoes SHM with amplitude of 4 cm. The energy is 90- gsx3( ) jen)0dihcnjflgg8.0 J at this time. The mass is cutc30jds ghn-xn )g(0 )e fjg9il in half, and the system is again set in 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 cl ipi,vt ;rb*1onstant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic ibil 1pr;*tv,motion and has 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+o*;jnwskfk;scxlt97a n,iw12 e4ht 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. Atek4 tw n2+jh;a;ktsif ,x7s9n w*l1c o what location are the kinetic energy and the potential energy the same?

  A 2.0-kg mass is attached to the end of xwtmwkq.9/ 3z a horizontal spring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.1m.9 x3tqw/ zkw0 m. What is the total mechanical energy of this system?

  A 2.0-kg mass is attac2s ykx.hc l+,mhed to 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+l kmhcsy. 2x,y of this system?

  A mass vibrates back and forth from the free end of an ideal spring of spr hoz02kl (z/61zi m)gba7iu vying constant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kine0zg 2iau)m6 o/7hlyi(zzk1vb tic energy of this vibrating mass?

  The mass of a mass-and-spring system8krp0n)h: lu84s s4yoe/ef tstivi)+ is displaced 10 cm from its equilibrium position and released. A frequency of 4.0 Hz is observed. What frequency would be observed if thepes0l:8 ot)iyk hs/8rt4siv+e)f n4 u mass had been displaced only 5.0 cm and then released?

  A 4.0-kg object is att, dlh9 otlg32yuprl2+ached to a spring of spring constant 10 N/m. The object is displaced byugl+d9 l2rphlyo3 t2,
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. v3u wk99epw/p The object is displaced bykww9p 9puv/e3
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 sprin99 f;y/ljhyhsg of spring constant 18 N/m, displaced slightly from its equilibrium position, and released. What is the freyy9h9 s /;lhjfquency of its vibration?

  A mass is attached to a spring. It oscillates at a frequency of 1.27 Hz whea5 q/ xdtioe;rpu d fza5:uz,t4/;j+yn displaced a 4 d/tzdyuaez/jt+r ;f :xaup;5q,oi5distance of 2.0 cm from equilibrium and released. What is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to different springs. Mass A ;- ndl7qfw0rj( bguupa h06.avibrates with amplitude (gf7wl bu6nq ru;aah-d 0p0. jof 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 of A compare to the maximum speed of B?

  A 0.30-kg mass is suspended on a s59*y opb(b:ptdte q o9 jbr4.upring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an rtby d59 e4o (bpb*q.jotpu9: additional 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 stvgs*iug iu rv3arh0*( ,)dtr9retches the spring 2.0 cm downward. The mass is then pulled an additional distance rggsruvih v,3*0 *(9t a udir)of 1.0 cm down and released from rest. Calculate the total energy of the system.

  A 0.30-kg mass is su5b p1g/kz-wfi*qzf p;9 xr8rrspended on a spring. In equilibrium the mass stretches the spring 2.0 cm downward8gwr*x/z-p zfb r 5qrki9f;1 p. 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 following position versusxue k66jc gt)8qd 7.gl time equation:.g dcxgqe uj)7668k tl
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following r ;u)ccchjm3zfb.v /o9 3/lb eposition versus time equat9/rc /.fbvo;lcj) c3buz em 3hion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following position /v n7(-lu jybpversus time equab-pn(/jluv 7y tion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple harmonic moth0t +ie qe3uh7 a:j,jq/y/wvmion accordinye+eqivj, jm 3hq h0w:at/7u/g 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 constant o tka.)itkibv,yu3. obri*d*1f 20.0 N/m oscillates on a horizontal, frictionless track. At t= 0, the mass is released from rest at x= 10.0ib).o1y,i* u*br i.t kadtv3k 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 t8kqusck9z7teiljb: 6 u5(/oswings in 8.0 s. (a) What are its frequency and period9kt/6qokzcu8uij( 7b 5t les : on Earth?

  A 3.00-kg pendulum is 28.84 m long. What is itk 4jijebqoev;iszpr28(p w64 8*ne3 ls period on Earth?

  A pendulum has a period of 2.0 s on Earth. What *;a.npc,,t7 g lyc:w*f/tskz2nr geh is its length?

  The pendulum of a grandfather clock is 1.0 m fcwv(t4: t4 hrlong. What is its period on the Earth tc4tv (fr:4hw?

  The pendulum of a grandfather clock is 1.0 m long. Why/nyg ;la n62p+1 wi8yc qch)dat is its period on the Moon where the acceleration due;yq1 n2h ng /w8l)aicd+py yc6 to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical ma:c;c+ gsgjmz0v 4vwy (ss 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 y; vg:+v(cwzgj 0 mcs4resulted if a 0.50-kg mass (same diameter sphere) had been attached to the string instead?

A simple pendulum consisting of mip0u56* d, qwiundz;a 20-g mass has initial angular displacement of 8.0e. It oscillatesiiqp0u,n6m*5; wz d du 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 w (aprd eu+9:,9piqw6y *zydcy-mnr2nave at a given time. The frequency of the wave is 120 Hz. Whatrnne(my du-9ypy9+p6:c wr*,i2azd q is the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given time. Th;ffn*/*xew lxcnn h n 4/n12zne frequency of the wave is 120 Hz. What is then/l 2 e1n4fn/*nh; zx*xwnncf wavelength?

  Figure 11-2 is a "snapshot" of a w tnr 3pjwz-7,kave at a given time. The frequency of the wavj,rzp-nk7w3t e is 120 Hz. What is the wave speed?

  What is the frequency of a wave which has a period of:/q0c wrlep e7 6.00 ms?

  What is the period of a wi g t2qg(4zg0h6w -jqkave with a frequency of 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz and a wavelength of 3.kran5 pp-fas7d )3q6n 0f)r3skpn n76 pa5 dq-a m?

  What is the velocity of a ovp36q 9 e(pqvr)l6 drwave that has a wavelength of 3.0 m and a frequency of 12 v6p9 ( prvr )q6edloq3Hz?

  What is the frequency o )d+h6+m xtw.uwwaney 6k4-zn ym/3ycf a 2.5 m wave traveling at 1400 m/s?

  A piano string of linear( cw6fsd, 0d6n rvr/te mass density 0.0050 kg/m is under a tension of 1350 N. Wh66/ dv wcnrd,ftsr0e(at is the wave speed?

  A string of linear de e7/ gaigm7 bn/.m c9b;1oymsonsity 6.0 g/m is under a tension of 180 N. What is the velocity of propagation of transv9g7cmng7is .oye/o/ m;1m b aberse waves along the string?

A wave whose wavelengtuptdyc )emn0c6 *p,d+7 6jxa xh is 0.500 m is traveling down a 500 m long wire whose total med7+x, mxdn*c 6pu yc tj)p6a0ass 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 lon9/krw(k)s t l (0h2rbuxxm1a7tnkn2ig string fixed at both ends is 200 m/s. Which one of the follo htbr1la2sr()kn/ 20k(nut 7xm9 ixwkwing is not a resonant frequency of this string?

  If a guitar string has a fundamental frequency of 500 Hz, which one e7ip fvtj-qj5y4 nhgo-tgy*1z-sj9 6 of the following frtp5sqyzt4 n fv-ihj e1jgg*76-9-ojy equencies can set the string into resonant vibration?

  A stretched string is observk-uxevb;s) pew ,m9pk 8k;jm)ed to have four equal segments in a standing wave driven at a frequency of 480 Hz. What driving frs)v uj9;p k)-,kepmmbkwx;8e equency will set up a standing wave with five equal segments?

  A string, fixed at both ends, vibrates at a frequenc:5plm frv -/ r uoac3z20pam 2uj2sh6jy of 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency is nepvjmu a:o5a 32fsz6 r-c 22l0/u mjhpreded if the standing wave pattern is to contain 4 loops?

  A string of linear density 1.5 dz.r+sga z.i; g/m is under a tension of 20 N. What should its length be if its fundamental resonance frequency is 220 rs ;.aizzg.d+Hz?

  Find the first three harmonics of te6us6kv ao,,, 3dl cza string of linear mass density 2.00 g/m and length 0.600 m when it is subjected to t dtozs v,a,6k c,lu3e6ension of 50.0 N.

A string of length 2.5 m is fixed at both m,jqav cl71 l2e* nket1l9+yoends. When the string vibrates at a frequency of 85 Hz, a stly7*9+, o ljmkq vl 2ceent11aanding 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.