The time for one cycle of a periodic process 9 )sjl/jasm3 dis called the

  For a periodic processx +m:dwa3vcddd 570iy -ng bs2, the number of cycles per unit time is called the

  For vibrational motion, the maximum displacement from the equilibr+st7- v.y;,pkxv7gk e o,xcvqdsyt*z m q434h ium point is calle, vtv mekv 47ksqq74hz;p+-g xo ,3*yd.txcysd the

  A mass on a spring undergoes SHM. When the mas zx4eamy e*4d*l(;oids is at its maximum displacement fro4dai ;4* exymdeol z*(m equilibrium, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass passes through the;ooa qz/:l af d2si55u equilibrium position, i5 5:qz lds;of/ua2 oiats instantaneous velocity

  A mass on a spring undergoes SHM. When the mass is abl6x 4wp8-4fslc ty9y q76vbrmww s39t maximum displacement from equilibrium, its instantaneous lw6t349yw rp9q l6yvm f4csb-x 8sw7bacceleration

  A mass is attached to a vertical spring and bobs up and down between64n0u, oc hnfb points A and B. Where is the mass located when nh,uon0 c f4b6its kinetic energy is a minimum?

  A mass is attached to a vertical spring and bob/fzm u) *k;q5n5e)v0s jxmkms s up and down between points A and B. Where is the mass locj)m*v sfk/ 5k zs5em0u n;xmq)ated when its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up and down between point2ob5 h,rkhh 4pno v06ys A and B. Wherhhh0o,pn 2k4r 6oyb5ve is the mass located when its potential energy is a minimum?

  A mass is attached tosye/ vz0 8ddiymok/6: a vertical spring and bobs up and down between points A and B. Where is the mass located when its potential enerk8dv 6zod:0yeyis/ /mgy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-spring system produces whatiue m /lv xl0nd/qgr*re hq g2 35fb4yod4;.+t effect on +4x4fheo/5l l re3i2bunqty /g;0. d rvmgq*dthe system's mechanical energy?

  Doubling only the mass of a vibrating mass-and-spring system producesvshtmk 4kv7840 ikml+ what effect on the system's mechanic4v0kksh+m mktlvi 7 84al energy?

  Doubling only the spring constant of a vibrating mass-and-spr my5l1lanpo4d j20nf ;ing system produces what effect on the system's lydp m4;n0 25laf1jno mechanical energy?

  A mass oscillates on the end of a sprin*cp r5gb):nohx,c mo4 6 l/hdcg, both on Earth and on the Moon. Where is the period the gr,o/l:5bdc4cnc6hmrx) *ogp heatest?

  Increasing the spring constant k of a mass-and-spring system causes whatdpj:1 z+ur2gw kind of change in the resonant frequency of the system? (Assume nou: +gjw1 z2drp change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system causes what kind ofs h;a7z9tqz0w -z9pc f change in the resonant frequency of the system? (Assume no change in the system's spring constanqaf9t9zsh -w 7 z;0pczt k.)

  Increasing the amplitude of a ma*w*x)/yh,hwiu bl , rpss-and-spring system causes what kind of change in the resonant frequency ww/p hhy*),x* br l,iuof 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 mass M attached to a weightless string of lengtdo5je )- hdl2zdl1d8v h L. F1hdld)o85z -djdl e2 vor this system, when undergoing small oscillations

  When the mass of a simple pendulfd8-e z/kt9 nl yoo:e2um is tripled, the time required for one complete vibre2y- eoflo 8nzk:t/9 dation

  Both pendulum A and B are 3.0 m long. The period of A iiq;a s)(6p qidol 6wp2s T. Pendulum A is twice as heavy as pendulum B. What is the period of Bld ii ;)w2s(a q6pp6oq?

  When the length of a simplzt 4c2pdmr0v/ e pendulum is tripled, the time for one complete vibration increases by a 4zr2 p/vcdt0mfactor of

  What happens to a simsfvx;-xdb*e;q 3xrepun-w- .ple pendulum's frequency if both its length and mass are incr. s*bd3v r-wx;f-uqxenp;-e xeased?

  Simple pendulum A swings back and forth at twice the frequency of simple pen:c.40) tnqm-llqs /fx /q-osr-hgr0k tzf,h fdulum B. Which statement is correct?0s)0t/-rgn k cqzl4 /lot:sq.mr- f x,hhf-fq

  If you take a given pendulum to the Moon, where the accecd(po jg0v dgim;f1of6 j2w(6 6msx+m leration of gravity is less than on Earth, fido jco6 j(6xg m0mp(w6gf+s12d;mvthe resonant frequency of the pendulum will

  Curve A in Fig. 11-1 repreq(5 2at3 /ejahsdcremi6kz0 7 sents

  Curve B in Fig. 11-1cmcll bd6*73q kc1c ,z represents

  Curve C in Fig. 11-1 represmx,ew2 i:fq q,j12qsnents

  For a forced vibration, them+3bg(g wa mc3 amplitude of vibration is found to depend on the

  In a wave, the maximum displacement of points of the wave from equilib7j1: em rv3)md oeu.qbwt1 .ksrium is called the wa ejomr3mdbqw k11ts)e7.: u. vve's

  The distance between succ 3j ./zqtau;hxessive crests on a wave is called the wave's

  The number of crests of ai,hwee5ntezws2;ca xq b2 dg+ (9xso, 6 qd33x wave passing a point per unit time is called the wave's qcit3h,o3dgwxen 6es s29(5 a,+;exxbw2 qz d

  For a wave, the frequency times the wavelength iuwth)8h8 6h9ufsyq i/s the wave's

  The frequency of a wave increases. What h/w uh4wn il 2g56u b:e48leagwappens to the distance between successive crests if the spewnw5ba/l4gilhu wu46e28 g:eed remains constant?

  A wave moves on a string with wavelength l and frequency f. A secoi1:a;fxqf dkh qa50k a6s0f*fnd wave on the same string has wavelength 0 sda:fafi 5xkq aq*0f1k;hf62l and travels with the same velocity. What is the frequency of the second wave?

  Consider a traveling wave on a string of length L, mass M, and tension 5 1 v87trltr8; asyukxgh+n :e+ue6d oT. A standing wave is set up. Which ofo t5uxry;hrgldv :+886 s et1n7+ek au the following is true?

  A string of mass m and length L is under tension T. The speed of a wave in theszls ;vvz5bnq8s-qx 76*kg6 uz6wxv 6 string is v. What will be the speed of a wave in the string if the zbs56xk8 7vq6z l *unsg q-z;w6vvs6xmass of the string is increased to 2m, with no change in length?

  A string of mass m and length L is under tension Ttzyb4)ng*ux 9r 9mx5m . The speed of a wave in the string is v. Wh)99xmxr4*y bt 5mnzgu at 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 Lnuwyxf v)o 72 :4t8q+ zj5i6lqldd*kn 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 tension is increased to 2*4l q nw7xuq vi +:nlyj6)f d5z8ktod2T?

  In seismology, the S wave is a transverse wave.62 h9j91t z h-tbutzozos w7e. As an S wave travels through the Earth, the relative motion betweezz ju9 tobz2t796 teho1h.- swn the S wave and the particles is

  In seismology, the P waveb t l )1pd3sqohk;as)vun*:, d/ o86s+nmudom is a longitudinal wave. As a P wave travels through the Earth, the relao:+hpdob1smsndn;)vk3lu uqa,*6td s )mo/ 8 tive motion between the P wave and the particles is

  The intensity of a w0q+n eb y,-mxu ab6nwd5 w5q+save is

  A wave pulse traveling to the right along asy. i/+ j5qdk)4kwmpf lps p86 thin cord reaches a discontinuity where the rope becomes thicker and heavier. What is the orientation of the reflected and transmitted pulsedk /qswi )jl+ m8pysp5.pf4k6 s?

  Two wave pulses with equal poder+z- v0ei8vsitive amplitudes pass each other on a string, one is traveling toward the right and the iv-+0 dr8 ezevother toward the left. At the point that they occupy the same region of space at the same time

  Two wave pulses pass ea3irbc g4 4qnas(yz+(pthe + otj 94oi*ch other on a string. The one traveling toward the right has a positive amplitude, while the one traveling towaryh+ ao 4zi9cnbrs q( +g4e(o tip4jt*3d the 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 strl5drie* mzo 3rb)b1b ;ing fixed at both ends, occurs when

  If one doubles the tension in a violi. v ,a0kgjxf)2v op dp18qwoz9n string, the fundamental frequency of that jx2 vq8f9)vg a,k oo.p 0p1dzwstring will increase by a factor of

  What is the spring constant of a spring that stretches 2.00 cm when a mass oa neh/h+(pd5 nf 0.600 kg is suspended from ihan/ 5 pe(dn+ht?

  A mass is attached to a spring of spring constant 60 N/m along aszsx) bj-8+i - fl/i 9uz0hylv horizontal, frictionless surface. The spring is initially stretched by a force of 5.0 N on the mass and let go. It takessu8s+ -iill0v 9)yhfbzzx -j/ 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 akfa c/zds*nxjah h-w2u::q.. 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 pos*xsdfzajqk :.nuhcw:-/ h 2a.ition when it is oscillating. What is the period of oscillation?

  A mass is attached to a spring of spring constant 60 N/m along ai h516vi sr.xd1jn4x 6dwlw,+xc:voz horizontal, frictionless surface. The spring is initially stretched by 6:, xd 1v+.d1cns jw liz64 hvxxiwo5ra 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 through 10 complete oscillations j s538h0w9d7za bty:rpf6 t ypy kak8+in 5.0 s. What pyyr6kt09y ah 3ajt8s7zb+k85p wf:dis the period?

  A mass vibrates back and forth from the free end of an ideal sprinmtzibwya4 p (o,+k92mq:*nlc g of spring constant 20 N/m with an amplitude of 0.30 m. What is the kinetic energy of this vibrating mass when it is 0.30 m fr9l4om(qy,nk :p+wcizt* a2m b om its equilibrium position?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m aloxwsr pp;zdspj- +09wzb :)dt:ng a horizontal, f9:sdx)0b zwpj: twszp ;drp+-rictionless 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 ampp7wr*qk8yb0 eewq bsgln6;4+litude of 4 cm. The energy is 8.0 J at this time. The mass is cut in half, and the systemb8l qen; g0r4 7kwp6+y*sq bwe 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 t mle5buj)( aiy8 (zjb)o 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 i )ea(m5)b8 jzljby( uthe amplitude of vibration?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m alonin/e +ib8-tlbj:k ,ik g a horizontal, frictionless surface. The object o 8+iji,i-lekk bbt/n: scillates 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 attached to the ea7-t vcc/lar- p3x)r6igzz8w o* c8 qend 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 mechanivgz*atq- 6izcrcr- a3 8l /xwp7)co8ecal energy of this system?

  A 2.0-kg mass is attached to the end of a horizontal spring of spring constant 9iv k n,)aw 7vz/kcxz8lal/*t50 N/m and set into simw, /invlv kl9 axka/7*8) ztzcple 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 o( cor7g,z1 tet2 o1ekf80(oyc d pxf(an ideal spring of spring constant 20.0 N/m with an amplitude of 0.250 m. What is tky (t(eo1 p cr8cto,7f o1xed(z0f2oghe maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring system is displaced 10ssv 54 sa0sg hehh6k0- 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 displachhs0k5s eg h6a0sv4- sed only 5.0 cm and then released?

  A 4.0-kg object is attached to a spring of spring constant 10 N/m. Th*np(v1 cv +h.budi8jbe object injc.d8v i1(vb ph*b +us displaced by
5.1 cm from the equilibrium position and let go. What is the period of vibration?

  A 4.0-kg object is attachmtra:vc; m3(e ed to a spring of spring constant 10 N/m. The object is displace(mec am3;v:rtd 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/2 ao-z daiy3a8m, displaced slightly from its equilibrium position, and released. What is the frey28 aiazo3 da-quency of its vibration?

  A mass is attached to a spring. It oscillates at a frequency of 1.27 Hz whe i.h0d7dq:an pn displaced a distance of 2.0 cm from equilibrium and released. What is t0d. qinap:h d7he maximum velocity attained by the mass?

  Two masses, A and B, are attached to diff*ag- 2dzccz k/h0qo,3pri. tferent 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 of A com0 * -pki3o/.rcdq2czghzfa t, pare to the maximum speed of B?

  A 0.30-kg mass is suspended on a spring.gk*;+ro3 wrb m 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 rest. Calculate the period of oscillatko wr+b3mrg* ;ion.

  A 0.30-kg mass is suspended on a spring. In equzk dr)tsj(+ t)q7fvp 29kj d9pilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional dis(tzd7 9qkj)9v 2ktjrspf) +dptance of 1.0 cm down and released from rest. Calculate the total energy of the system.

  A 0.30-kg mass is su i 21tkzvy (y.farhm83spended on a spring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulh. m(2vtiyy 1akf3z8 rled 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 g/jw wqotmh 0f8pvn b 4)r q6n3f99-slversus time equj nwq34f 60srw)o fp9lmvn tg9bq8 /-hation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following position versus timex24o5yt hd p bspbs.,xih1) j. equa. 4ots5h,h) x pbdbsi1j xpy2.tion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following posxsq++ys/l xg) dxuo 88ition versus time equatig+xx ss8)ud8y/q+ox lon:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end ofq-i0 sa xfgn.95d(e - w7u9izkimwiy8 a spring executes simple harmonic motion according to th8i95a -7i9(efy.-wkwgsqni0 dm iuz xe 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 59heu50syqen2tov 0h 20.0 N/m oscillates on a horizontal, frictionless track. At t= 0, the mass is released from rest at x= 10.0 ch052e9ns vqyouthe 5 0m. (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. - 5vgu1ds fe+vvvu89 z (a) What are its frequency and period on Ea1vv-d9gsu+5v uf z8v erth?

  A 3.00-kg pendulum is 28.84 m long. What is its period on Earth4+s-lnm gvv;q( z6klz?

  A pendulum has a period of 2.0 s on Earil*e48uk m)xe th. What is its length?

  The pendulum of a grandfather cloflr2b nl0mu.w3+t1v q ck is 1.0 m long. What is its period on the Earfrmt21 q.lbv+0uwl 3 nth?

  The pendulum of a grandfathtcy;9 xy9dcd2.bp :qw er clock is 1.0 m long. What is its period on the Moon where y2 ;cdp 9tx:yb9.dc qwthe acceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attached toz(15ad;j(wh+(f wog;cy fygg 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 ywc+; (z ygao(5( ;1wg jfdgfhHz. 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 db13dpiliwt j-xa+ )520-g mass has initial angular displacement of 8.0e. It oscillates with a period5-l1 dwx+pt daj3bi) i 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 t4jb;it)itu-b+p-- .abf p 2 vvw4wgxeime. The frequency of the wave is;ax tv4b -w-)i2ubg - 4.jvpp+iteb wf 120 Hz. What is the amplitude?

  Figure 11-2 is a "snapshot"p,zpu 0lm9hr3vl l17 t of a wave at a given time. The frequency of the wave is u0 7z1,l9rhplm3l vtp 120 Hz. What is the wavelength?

  Figure 11-2 is a "snapshot" of a wav satxe zpq8ch2xy; syq7--xo)i : *au6e at a given time. The frequency of the wave is 120 Hz. What is the wave y;a uxyoac*26st z 7q:-xeh p) qixs8-speed?

  What is the frequency of a wave which harj;24 4 x *xqgmhy3tr4cpzjc .1kzqo:s a period of 6.00 ms?

  What is the period of a wave with a frequency ; b r25,ocnyk ,f1zxekof 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz and a waveleng9k 3sf;xcsjn )th of 3.9 s;3s fjkcn)x0 m?

  What is the velocity of a wave that has a wavelength of 3.0 m and a freque0jl3w tfod(.20 uink tncy of 12 Hz?ikl wtu0 3jdt2(o0 fn.

  What is the frequency of a 2/ j1a /oitcnvcvcn,03 .5 m wave traveling at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/mwyq8mf.dud : m4/t0r iy 07nx,nfjv/ beu4rf2 is under a tension of 1350 N. What is the w/ m mun 002u.fye4 bvdxyni, w78t4fr/dfqjr:ave speed?

  A string of linear density 6.0 g(y -g 9/ ahc4dccnre-s/m is under a tension of 180 N. What is the velocity of propasncy gce--(ar9 4/hdc gation of transverse waves along the string?

A wave whose wavelength is 0.500 m is trt;oazlf;x19qmy2 ls 2hy)*qw 6d v6jkaveling down a 500 m long wire whose totala)lm* dtqy 19;2v qz6wj;lx h 2fy6kso 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 transversxiehx.l (e(-x cz9qk( e wave on a 2.0-m long string fixed at both ends is 200 m/s. Which one of the following is not a resonant frequ-k9(.(celz( xx eihqxency of this string?

  If a guitar string has a fundamentc-wjl+ /r xee0al frequency of 500 Hz, which one of the following frequencies can set the string inw l-/rc xee0j+to resonant vibration?

  A stretched string is observed to jo;os7hz hq-0have four equal segments in a standing wave driven at a frequency of 480 Hz. What driving frequency will set up a standing wave with five equal segmeoh-;sjz o q07hnts?

  A string, fixed at both ends, vibr. +x lt41fe :vqgqufn8ates at a frequency of 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency is needed if the standing wave pattern is to cf.+u:qfl8x1v4 gntqeontain 4 loops?

  A string of linear density 1.5 g/m is under a tension of pj, ykviv95g)20 N. What should its length be if its fundamental rvki, jpv95g )yesonance frequency is 220 Hz?

  Find the first three harmonics of a string of linear mass denswnpn t,t7k 5)iity 2.00 g/m and length 0.600 m when it is subjecteki)tw t5n7,pn d to tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. When the strq1a/zyap;2jl*aw ch ag9;v smjz9.1 zing vibrates at a frequency of 85 Hz, a stan9 9z1.lp/a1ajvj; zhca wgsma*2 q;zy ding 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.