The time for one cyclj 53famwp+j0ucpi u(lt.00f de of a periodic process is called the

  For a periodic process, the number of cycles per unit ti/ o lu8.rn ;3(u8yombtwt miuu8/(gei me is called the

  For vibrational motion, the maximum displacement from the equilibrium pt2p-f;t.e p y.ctd wh9oint is called t.92;y tdthepf-c tpw.he

  A mass on a spring undergoes SHM. When the mass is at,5,v hnsa+d 92onfw zz its maximum displacement from equilibrium, itd+a2f , vozsnzh9,wn5s instantaneous velocity

  A mass on a spring undergoes Sq39ab5 zy;fp5itc yddd 98w0ypuf2 k4HM. When the mass passes through the equilibrium position, its yy8k9wdu3t;pfz0 iddbq 9 ypac 425f5 instantaneous velocity

  A mass on a spring undergoes SHM. W;faybl5 0w+em hen the mass is at maximum displacement from equilibrium, if0meb;lw a+5 yts instantaneous acceleration

  A mass is attached to a vertical spring and bobs *h /a jxz8l .tf+l(tvfup and down between points A and B. Where is the mass located wh hl*z l(/a.8tvfj+xtf en its kinetic energy is a minimum?

  A mass is attached to a vertical 3z 0kdtejnp93 ).kmbvdodn+, spring and bobs up and down between points A and B. Where is the mass located when its+.mv),3t03nd j kodbnedkzp9 kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up and down between points 7ef1 w 1ikl4sjA and B. Where is the mass located when its potenti1 f1ejsk7i lw4al energy is a minimum?

  A mass is attached to a vertical springh+ 3m/pz- n9o pmm6 +xubqnjo3 and bobs up and down between points A and B. Where is the mass located when its potential mon 9 /n3o p -huzm++xb36pmqjenergy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-spring system produces what,.m bvl50v 0em5rjg(wjop9l y effect on the system's m .50ym095m ,g(vjlvprlj wbe oechanical energy?

  Doubling only the mass of a vibrating mass-and-spring system produces whata7j;yh 1fmsx) effect on ;mash)jyx17 fthe system's mechanical energy?

  Doubling only the spring constant of a vibrating mass-and-spring system ,g-l cpmb0i8j produces what effect on the system's lc8pm -j b0ig,mechanical energy?

  A mass oscillates on the end of a spring, both on Earth and on the Mocwg eoe; ke.9(on. Where is the period the w9;kgeoc(e .e greatest?

  Increasing the spring qi)pt*vpg1d oaafcg*t4(s :co n7;6 iconstant k of a mass-and-spring system causes what kind of change in the resonant frequency of the system? (Atca6s(p g *7acii)ngdqo; 1:* fvpo4tssume no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system causes what kind zfa;p95dxh0 y of change in the resonant frequency of the system? (Assume no chzp;d 5y09 xafhange in the system's spring constant k.)

  Increasing the amplitude of a mass-andrx/f0:lk;o(ix9 lvtwlj u :- e-spring system causes what kind of change in the resonant frequency of the system? (Assume no other r/jxi-(t9: ;xlkw eo flu:0lvchanges 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 weightless string omcc mftjx b.cx35//d .m4w/my f length L. For this system, when undergoim ym5bccfjmmw.4. /d xc3/t/ xng small oscillations

  When the mass of a simple pendulum is tripkcyn:2rb) zna;-5oo:b u cs1pled, the time required for one complete vibraz: )u1nna2 cs- ork:bcpo;by 5tion

  Both pendulum A and B are 3.0 m long. The pdz ip wev,9sns.0lerqfq(5) tgc55 2c eriod of A is T. Pendulum A is twice as heavyn9ezqir(w50c. 5glcpt fv qds5s)2, e as pendulum B. What is the period of B?

  When the length of a simple pe;m ,ze 0j.yukfndulum is tripled, the time for one complete vibration increases by, zjeu y0;.fkm a factor of

  What happens to a simple pendulum's frequency if bom;ad,3d8aomc*1 nyt/ g )whcjf7/f xpth its length and mass are increa,/d f)xyo j3 am/8gca ;7w* dt1hncmfpsed?

  Simple pendulum A swings back and forth at twice the frequency of sjtd6 /bmsh59*wv-s:p o 9qegs imple pendulum B. Which statementhqsd/v jgtps99 w65-me:sbo* is correct?

  If you take a given pendulum to the Moon, whe p.pozy ;-l9 prtq-c4ujn.nka d7,/hy re the acceleration of gravity is less than on Earth, the resonant frequency of the z pk/lud9oyct r4p;h7n-qpa y -,j..npendulum will

  Curve A in Fig. 11-1 repjf t-b)cm2if/eyw 3(zresents

  Curve B in Fig. 11-1 repr g wc0a.g o;t)udgz00cesents

  Curve C in Fig. 11-1 represeokekuq0r; o h.+8) w:,vjqg ssk9w*rknts

  For a forced vibration, the amplit6k/ a 8m/qi;dvsuh /ssude of vibration is found to depend on the

  In a wave, the maximum displacement of points of the wave from equ*vg wf :ly:t5bzn,6z tilibrium is called th:ztvynl6zt:gf 5,bw* e wave's

  The distance between successive crests on a wave is callss3rc1) ,f4 pbe wcryus/0-ezed the wave's

  The number of crests of a wave passino5 (z/ s/jrxrug a point per unit time is called the wave'o/rjr /sux(5zs

  For a wave, the frequency times the wavelew1gpjjt/:vpz fi 2aj+c;(5z6 ms*x unngth is the wave's

  The frequency of a wave increases. What happens toxv+3o: z tk c qh6v*p19qdurc, the distance between successive crests if the spd cq,vo+*vp 3tqzkx:6 hruc 19eed remains constant?

  A wave moves on a string with wavelength;pair b0 1n:uh l and frequency f. A second wave on the same string has wavelength 2l and travels with the same velocity. What is the frequency of n0ia:pbu; r h1the second wave?

  Consider a traveling wave on a string of length L, mass M, and tension T. / t3m)smoka (3 jlkiy*A standing wak(tko/j mm3iy*) 3ls ave is set up. Which of the following is true?

  A string of mass m and length L is under tension T. The speed of a wave in thbu 2*r1dwt 1o-9siodptu1c.7 n qo8bve string is v. What will be the speed of a wave in the string if the mass of the string is increased to 2m, with no change in d2 v 1*pdurb 18.9swoioo -1nc u7ttbqlength?

  A string of mass m and lengthdyinf;e4jf- a7 da.x4z-az+ r 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 increzffidy. j-7;-4 +re z nxdaa4aased to 2L, with no change in mass?

  A string of mass m and length L isp63h1kk/olj: y c zrk, under tension T. The speed of a wave in the string is/y61 cl hk3k:oz rkp,j v. What will be the speed of a wave in the string if the tension is increased to 2T?

  In seismology, the S wave is a trtydibx( ac5;6 ansverse wave. As an S wave travels through the Earth, the relative motion between xc5b;t(d6ay i the S wave and the particles is

  In seismology, the P wave is a longitudinal wave.o06/ b aqkwo9w As a P wave travels through the Earth, 69o k0wa/bo qwthe relative motion between the P wave and the particles is

  The intensity of a wave 2x ngo 3yc5js(is

  A wave pulse traveling to the right along a thin cord reaches a discontis4pc4 3oeposu:27*uk gp,ndynuity where the rope becomes thicker anupo 4*oseu4 s:c,ygpndk73 p2 d heavier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each othe)u86j8sd4iuasa-h arv u13 g ar on a string, one is traveling toward the right and the other toward the left. At the point that they occupy the r i 3- 48d)sa1ajvuusa ahgu68same region of space at the same time

  Two wave pulses pass each other on a string. Twyr)g*p w p0 c(fx((xkhe one traveling toward the right has a positive amplitude, while the one traveling toward the left has an equal aw)*y0(xkp(gcxrf p( wmplitude 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 yeu70rl 32g lgfixed at both ends, occurs when

  If one doubles the tension in a violin string, tlfyxp( iue8+1he fundamental frequency of that string will increase by a (p 8i+ uel1yxffactor of

  What is the spring co/s +x32 (eedrw6qpr7labbgi, nstant of a spring that stretches 2.00 cm when a mass of 0.600 ,w2rx(e6q/bipead+ br73 lgs kg is suspended from it?

  A mass is attached to a spring of spring constant 60 N/m along 6v-a b(4mz3oq946r 5zjbipfshv t; bsa horizontal, frictionless surface. The 6;vb3-4fs(b5o4 q iz sz9vrpam6 jhtbspring 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 spriny 0 hi2y4p*ugfg 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 osy4f0 2p*yuhgicillating. What is the period of oscillation?

  A mass is attached to a spring of spring constant 60 N/m alongf+wbve fuxml8( v37j 0 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 juxwv v8+mel 703(ffbwhen it is oscillating. What is the frequency of oscillation?

  A mass on a spring undergoes SHM. It goes tw/cr3-ayibg qxk)/+ frfxi ty:f2n oa(8 2w*fhrough 10 complete oscillations in 5.0 s. What is thi tf -kqcb a x yf :+(8onrw2i/3)war/yff2*gxe period?

  A mass vibrates back and forth from the free end of a8 d3)m)cnfx9 vrbpee,n ideal spring of spring constant 20 N/m with an amplitude of 0.30 m. What is the kinetic energy of this vibratxv8),e39 er cpb) fndming mass when it is 0.30 m from its equilibrium position?

  A 0.50-kg mass is attached to a spring of sprinvpwco,db br .)78xdn-7cot+sg 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 txt nr8v cboc+)dd.bs,7o -7wphe total energy of the system?

  A mass undergoes SHM with (c /-a9dk; wir v4ar nvtbz ;df,k*2ixamplitude 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 enadk4bz cifw;* kni; x dr(vat92, rv-/ergy of the system now?

  A 0.50-kg mass is at jt6gh2(bpg , g/e.qrotached 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 equtp6jg.gq (2,bgoer/h ilibrium position. What is the amplitude of vibration?

  A 0.50-kg mass is attached*c.v- k 8m)xcmeor hm9 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).hm-mvr8ok cc*e 9mx /s 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 horizon *ynvu ;jnksk* 5/olx.tal spring of spring constant 50 N/m and set into*5son*xukk; jlvn /.y simple harmonic motion 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 of a horizontal spring of skk5 3*qsc p5wjpring constant 50 N/m and set into simplcpk sqw3* 5k5je harmonic motion with an amplitude of 0.10 m. What is the total mechanical energy of this system?

  A mass vibrates back and forth from the free end of an ideal5 ) hjb+uc*e+lejh4 nw spring of spring constant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kib +4*hlc w+je)eh5nu jnetic energy of this vibrating mass?

  The mass of a mass-and-spc(-+hjx j 07k nuz ux*2qif4krring system is displaced 10 cm from its equilibrium position and released. A freq(2xz0f+ uj - 7xn4khqu*rkc ijuency of 4.0 Hz 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 sy5h 2/dtvprq)hsg , l+pring of spring constant 10 N/m. The object is qst dhy)+v,5gp/ 2hlrdisplaced 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 ovhs(sool z) 89bject is dvh (sos 8)9lzoisplaced 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 *,o yibqypr qitrfh3 *k0ua /+,6(gnw:u1xzuspring constant 18 N/m, displaced slightly from its equilibrium pop,*uu,/y(qn1 + x g3z0kuy6ab:*ihr twqifr osition, and released. What is the frequency of its vibration?

  A mass is attached to f6gzq8b j:-kevh* lhuh0f87 ka spring. It oscillates at a frequency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What is the maximufz 7hhk6j8-ul beh g v0kfq*8:m velocity attained by the mass?

  Two masses, A and B, are attgfa khcd) a0q9j j46v9ached to different springs. Mass A vibrates with amplituck9a f6h)4dja9 vq0jg de 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 of A compare to the maximum speed of B?

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass stretches bvlgsw* 4)+ hlthe spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and released from rest. Calculate the pergw)s4v h *llb+iod of oscillation.

  A 0.30-kg mass is suspended on ad+,w +vil: nkc spring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an lvc:n dwk++,iadditional 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 in 3j;.tak+pz a spring. In equilibrium 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 rest3;kt.zjip n+a. Write down its equation of motion.

  An object in simple harmonic motion obeys t6i1 3 oxache *qqn,rih8j +fq)he following position versus time equq1) cqea +of83 xjinqh,6hr*iation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmgiyr lc25*zynbh8m+z yak7 - 0onic motion obeys the following position versus time equationhy 58clry 2bmk -zz*y7ia+g 0n:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the followinu360tcd:u1x* opt elp g position versus time equatio dt t6oc1pex0 up*l:3un:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a sprinja;dy lcdm4 z9v5 j,2ng executes simple harmonic motion according to the eqlajcjv dmz 594,d2y ;nuation $y = 0.50 \; \sin (18\pi \times t)$ 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 oscil :rwmal00yn6jf(up. s lates on a horizontal, frictionless track. At t= 0, the mass is released from rest at x= 10.0 cm. (That is, the spring is stretsw( 0rpa0f:.yj6unl mched 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 comp -xo-r8fqp,ez8 1 nqnke14cx zlete swings in 8.0 s. (a) What are its frequency and period fqq8no 8rz1cx e1zn-4-k,expon Earth?

  A 3.00-kg pendulum is 28.84 m long. What is its period*1wbz8ps n2a u on Earth?

  A pendulum has a period of 2.0 s on Earth. Whato6twr39m b06 )lrc gaa is its length?

  The pendulum of a grandfather clock is 1.0 m long. bwa va:5cl3c,.ows 8 y(lua-n What is its period on the Eaa l ywv3:s,u8nal a5-(b.cc worth?

  The pendulum of a grandfather cloc; a v2/1zri qoiu7yjz7k is 1.0 m long. What is its period on the Moon where the acceleration due tjoziyiu7v7 1r za/q2;o gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attached * ;dmz+4s vgoay(pcdg,.*zah-f f c0sto 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 if a 0.50gdzhyco a p4s+**(m fa -;,c0.dzvfsg-kg mass (same diameter sphere) had been attached to the string instead?

A simple pendulum consisting of a 20-g mass has init dm.nb f4;z4wcial angular displacement of 8.;n.z4fcb wdm4 0e. 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 .flucme.i5 :pp,4ok9 d+i zpmtime. The frequency of the wave is 120 Hz. What i. dm,ie.iop fp9:zucm 4k5l+ ps the amplitude?

  Figure 11-2 is a "snapshot" of ht.fe3;c *6 yu m*wzy5vzlf,pds) 7gfa wave at a given time. The frequency of the wave is 1pdvef*7,f 6;z5gchmw*. z 3fu )tyysl20 Hz. What is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given timebes4yma (4c f+v+lt3e . The frequency of the wave is 120 Hz. What is the wave speey3e (4lt ems4 cbv+f+ad?

  What is the frequency of a wave which ;o1am7 mupci+ has a period of 6.00 ms?

  What is the period of a wave with a frequency of 1500xv 6tjq4*zny* Hz?

  What is the wave speed if a wave has a frequency of 12 Hz and a wavelength of 3b)qx55o*sxc r .0 mx5b ) ors5q*xc?

  What is the velocity of a wave that has a)e 3 0em/ zeaksk/8vbm wavelength of 3.0 m and a frequency ofsa/b zm0vke m38ke/e ) 12 Hz?

  What is the frequency of /zk- t):jl aih;gm)qpr r1br8a 2.5 m wave traveling at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is under a tenr43 b m8px9 wktbvi6v8sion of 1350 N. What is the wave spbtp mv63b48rkv x8 wi9eed?

  A string of linear density 6.0 g/m is unde /zty0h.nu e-atc*zn-bqti* 9r a tension of 180 N. What is the velocity of propagation of transverse waves along theetbnzt 9c0* q h.* a/u-tiny-z string?

A wave whose wavelength is 0.500 m is traveling down a 500 z / 3fd2desm;dm long wire whose total mass /d3s2 fzd e;mdis
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 string fij(( m4xxxecl0 xed at both ends is 200 m/s. Which one of the following isx4(mcxl0e xj( not a resonant frequency of this string?

  If a guitar string has a fundament b kr,qfj2w,p2al frequency of 500 Hz, which one of the following frequencies can set the string into resonant vib w bj,,rqpf22kration?

  A stretched string is observed to have fox :q+ka e3w6jiur equal segments in a standing wave driven at a frequency of 480 Hz. What de:iwj 6aq+x3 kriving frequency will set up a standing wave with five equal segments?

  A string, fixed at both ends, vibrates at a frequen1w5gc)nt2vg ktlz 9zgn. v/+rcy of 12 Hz with a standing transverse wave pattern containing 3 loops. What frevn. tn g g)gzw/lv1tcr+29zk5quency is needed if the standing wave pattern is to contain 4 loops?

  A string of linear density 1.5 g/m is under a tenm8.ftt2 7g8dhl ,j ksdsion of 20 N. What should its length be if its fundj2kld,dt hs 88gmf.7 tamental resonance frequency is 220 Hz?

  Find the first three harmonics of a string of linear mass density 2.00 g/ pz8 q22 g)icag+g.pqjm and l p)z. c2qaqj2+g gpg8iength 0.600 m when it is subjected to tension of 50.0 N.

A string of length 2.5 m is fixed at bot ;(gjis 7,egas /pya)zyv ,tl;h ends. When the string vibrates at a frequency of 85 Hz l7, vs/t,g(ygs)yaj;pea;i z, 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.