The time for one cycle or ;wh wvj6w;9 wcsc67npv67s pf1 h0tsf a periodic process is called the

  For a periodic process, the number of cyclesj muzz.d *t4 dd-x8h5y per unit time is called the

  For vibrational motion, the maximum displacement from the eqal/dzd2. p 0uzqw,s)p uilibrium point is called wzd/ups .,qd 0z2)lapthe

  A mass on a spring undergoes SHMbo7x rsd74ud -. When the mass is at its maximum displacement from equilbdo4s-7dr7 uxibrium, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass peuf,:9wyo)nrb ,(wp 1 2m i2un t vti+bic.)axasses through the equilibrium position, its t obpeib1:auif u2m,n,)w.cy+v () 9 2wnx rtiinstantaneous velocity

  A mass on a spring undergoes SHM. When the mass is ,ky 9i0xjix t8hqte- qq9x5l:at maximum displacement from equilibrium, its instantaneous achi 0yltxq x ,-q tqx5kei989:jceleration

  A mass is attached to a vertical spring and bobs up and down between points ,y5b,l) ji cmfA and B. Where is the mass lo,cbm,jl)yi5 f cated when its kinetic energy is a minimum?

  A mass is attached to a vebymqlvz7z11( :8e( igcbi mw)rtical spring and bobs up and down between points A and B. Where is the mass located when its kinetic energy is aq veml 8m1izbg7bc)y(zi(w: 1 maximum?

  A mass is attached to a vertical spring and bobs up and down between points gwqbg tnge2d a) /o;g:j3l 6eqz ;i:-cA and B. Where is the mass located when its potential energy is a minimugg 2z:b;dwn3 c:gqoetl 6 ;ae-qg /ij)m?

  A mass is attached to a vertical spring anbpn/fr/qf :tz1.(ie id bobs up and down between points A and B. Where is the mass located when itq/r nff/b. 1eizitp :(s potential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-sp ( s2n26mhf scdov-* v+jd1f8eclk z7wring system produces what effect on+* cjov2sm1s(fe7h2c wnfv-ld 6dk z8 the system's mechanical energy?

  Doubling only the malt sjqx0 /4p)kss of a vibrating mass-and-spring system produces what effect on the system's mechankx4q)0l/ tp sjical energy?

  Doubling only the spring constant of a vibrating mass-and-springnerbi8up ah 0 azc130w6.se d3 system produces what effect on the system's mechanic.s1r8bihu newa30a3d 6ze 0cpal energy?

  A mass oscillates on the endv.rht4 6ctsbqx/ 0 u/w of a spring, both on Earth and on the Moon. Where is the period the greatesb/v xtth0w. 6uc/qr4st?

  Increasing the spring constant k of a mass-and-spring system cause)2ideqm*s j+e ax9eb3 s what kind of change in the resonant frequency of the syste+ m2)9asd3xqjebe* ei m? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system causes whlmi2,(g9+u:g phsv 0bl. 25ew f nkmoaat kind of change in the resonant frequency of the system? (Assume no changegle: 95s.m0lhnga2m of(piw + 2,vukb in the system's spring constant k.)

  Increasing the amplitude of a mass-and-sp)m cuj*sfid .9ring system causes what kind of change in the resonant frequency of the system? (Assume no other changes in them 9 scifj)*.ud 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 ol/ x sm8a0sba*f a mass M attached to a weightless string of length L. For this system, when undergoingxa*bs/8msl a0 small oscillations

  When the mass of a simple pendulum is tripledc1r (hhheww **1-ydqk qd)i z,, the time required for one complete) q1w*,(hzikeqchr1 h*ddyw - vibration

  Both pendulum A and B are 3.0 m long. The period of A i*b/zo ejfpb9, s T. Pendulum A is twice as heavy as pendulum B.,ob*9p/jf ze b What is the period of B?

  When the length of a simple .af/v v5y.2ph jmq6o jjh*0phpendulum is tripled, the time for one complete vibration increasfypv0 j.mha/*2ph6hvj j o5 q.es by a factor of

  What happens to a simple pendulum's frequency if both its length3knxb )ov* lc h*)vhw. and mass are increasedklo vh3 b*)wx.vh)* nc?

  Simple pendulum A swings back and forth at twice the frequency of simple pendul ,7;qi:ragf zium B. Which statement is corre;z a irgi7,:fqct?

  If you take a given pendulum to the Moon, where the acceleration of 6-bcu* j9s 9wxqz.oss gravity is less than on Earth, the resonant fr 9cjq-bs6 *ssw.z uox9equency of the pendulum will

  Curve A in Fig. 11-1 represents *2n6wukb 6v-5tstift

  Curve B in Fig. 11-1 yi7c .nv.k/oolj q .p*represents

  Curve C in Fig. 11-1 repre)+ y4mqe ra)a3tht* gusents

  For a forced vibration, the amplitude of vibration ;(a qbj+g4qfo is found to depend on the

  In a wave, the maximum displacement of points jvsvq uw6 bs+07jo/3 bof the wave from equilibrium is called the wave'7u/+wvjq 36b0vbsj s os

  The distance between successive crests rig,7)a+lzmm*cyw62n wktv6 on a wave is called the wave's

  The number of crests of a waveeet w9z0o2tpbxy 8 s-; passing a point per unit time is called the wave'so2t9tesp -b 0e 8wz;xy

  For a wave, the frequency times the wavelength is the wave's r/v/wrga, 2iniu ij (yb 9yy7boy/6e1

  The frequency of a wave increases. What happens to the distance between z9byjmexd*atit 6 /0x 3p0plo3 o-6fxsuccessive crx ojo-x3pd0ax*/ iby3tp f60 9zlm6t eests if the speed remains constant?

  A wave moves on a strin 2 qs5ko;shvv,,y- onb2,q hhog with wavelength l and frequency f. A second wave on the same string has wavelength 2l and travels with the same velocity. W 5;syon,oqob,vv2,k 2s-hhq hhat is the frequency of the second wave?

  Consider a traveling wave on a string of ledujjo9.b,ge3omty*h8e j(4y ngth L, mass M, and tension T. A standing wave is set uuymgjoj8( e.b,4o ht j *39edyp. Which of the following is true?

  A string of mass m and len xeo(90npl 6ntgth L is under tension T. The speed of a wave in the string is v. What will be the speed of 6 op0xetnl9n(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 an 3vg+t6pt9n kss)gfa0m:iwa5 d length 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 inmtsg:nfp t69)v+i s30gk5a a wcreased to 2L, with no change in mass?

  A string of mass m and length L is under tension T. Th lrw9 j; qv h929e:)iay4xbxdte speed of a wave in the string is v. What will be the srx9:vby d)e ;x hiqajtl4w92 9peed of a wave in the string if the tension is increased to 2T?

  In seismology, the S wave is a transverse wave. As ai g9v1h*nx)ax1eti/+1 usmx un S wave travels through the Earth, the relative motion between the S wave and 1 1guaim+ h/)xs1 ine9v txu*xthe particles is

  In seismology, the P wave is a longitudinal wave. As a P wave travels fd(0r,mo2 5ar6j .odt6thj isthrough the Earth, the relative motion between tjti6rd0 5faoot hmd(rs,2 j6. he P wave and the particles is

  The intensity of a wave * 5pmpm7iu rnds.a8v4vpy 7t*is

  A wave pulse traveling to the right along a thin cord reaches a disconb ; lfz9*twogmc1io 9dgm:7d(tinuity where the rope becomes thicker and heavier. What is the orientation of the reflected and transmitted pi9:(oldz7 w9mmobt cg* d1g;f ulses?

  Two wave pulses withz*fa7ttte 5pv-.h- p e equal positive amplitudes pass each other on a string, one is traveling toward the right and the other toward the left. At the point that they occupy the sama-.zepv5e t7 f*tt-hp e region of space at the same time

  Two wave pulses pass each otherns8 4 t si:vcx 1kcwh)ydu6m:* 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 directiomvskc1:n*c :8tw6d 4)is yhxu n. At the point that they occupy the same region of space at the same time

  Resonance in a system, such as a z.ebf7f7u,w -9 b piszstring fixed at both ends, occurs when

  If one doubles the tension in a violin string, the funwljn( 9( q*s+a d8i6a)c1px:po np fipdamental frequency of that string will increase by a factor opa +9*(n c 1p pfp:s8jxilinow(qd)6af

  What is the spring constant of a spring that stretches 2.00 cm when a mass: ga:ys8p8 xxi6nvw +d of 0.600gdy+p invxxsa 6:w8 8: kg is suspended from it?

  A mass is attached to a spring of spring constant 60 N/m along un3;eui,nwp(hed :h9 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.dn pe(ei9h,u;: wnh3 u50 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,yp f-o8 fp,lkqa.-w7v frictionless surffpfqo,8- ka-w.v7 plyace. 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 period of oscillation?

  A mass is attached to a spring ) axt:f ipcx/fv:-qp.dqyjm 8(c(t 2 xof 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-((pf d py:ci cxxq:/m.txv)t2 qafj8 is the frequency of oscillation?

  A mass on a spring undergoxq5beb+p661 ko(h;wt u8+b v 0dplthdes SHM. It goes through 10 complete oscillations in 5.0 s. W8 h5b vl6;1d+tkd w(0q+ t6pxheu bpobhat is the period?

  A mass vibrates back and forth from the free end of an ideal spring of spri o7y;bkqf7a;xfc lr,gw c:)(c ng 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 from its equilibri l o( :c77y;bqa;ff,k)ccwxrg um position?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m along a hori4b;myw +e.n0 iihla2szontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s at the eie ia b 04h.mln2+s;wyquilibrium position. What is the total energy of the system?

  A mass undergoes SHM with amf rg +t:*tz70+ tebhs(an7abjplitude 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 m* s ef+tnthja(b:7g+ 7rta bz0otion with amplitude 4.0 cm. What is the energy of the system now?

  A 0.50-kg mass is attached to a spr6col wlacld ln638) v;ing of spring constant 20 N/m along a horizontal, frictionless surface. To v;lwdc lll8 a3)n66che object oscillates in simple harmonic 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 co)8 fe1uzx 4yo k 9ddc 4brynazhr8c.s0y-6 7dcnstant 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. Ato0hn.ry 4yk6de f14cu8x z d ba) -cds7zy8rc9 what location are the kinetic energy and the potential energy the same?

  A 2.0-kg mass is attached to atm g0w3i,,1,fy pfchthe end of a horizontal spring of spring constant 50 N/m and set into simple harffcawg m,y1,h0 i3 tp,monic 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 spring constanqj91; dzan6 yit 50 N/m and set ij61yd;q i9naz nto simple 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 au4lro0rb: j l3jc:m+kn ideal spring of spring constant 20.0 N/m with an amplitude of 0.25j: 0cul mb4rkl :o+3jr0 m. What is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring syst4f*aacg8- gjw8m9 nv2**lh/gsa ov ammo9e4uem 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 dis*aumhav vg lga-9 mn/m9*844* oc82owefgaj s placed only 5.0 cm and then released?

  A 4.0-kg object is attached to a sp v.n iup3c:yn9zxu+1h ring of spring constant 10 N/m. The object is displuzu.n9 nchxy1 v+ :p3iaced 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 5h hvlm0u9gx tp,+gi*object i*h v0, g5milp9+t ughxs 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 a spring of sprraen (u4e-p2 fing constant 18 N/m, displaced slightly from its equilib f(- enp4ru2aerium position, and released. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequency of 1.27 u6rz inx8 /(o*r0jbfhga8l+m1 kioocl *em.. Hz when displaced a distance of 2.0 cm from equilibrium and released. What is the maximumo klzo xr +c8rm/o.abeii 8l j*0gu1.*hmfn(6 velocity attained by the mass?

  Two masses, A and B, are attached to different springs. Mass A vibrayeh34vx/5zx*l6f tvx80 y 4b)tj qkhgtes 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 maxiq/v4f3v0hx gt 5x 6k8y*xlz)t j4heybmum speed of A compare to the maximum speed of B?

  A 0.30-kg mass is suspended on a s:tbcz k0k+;7 : hetkv3or.qktu0; wtmpring. 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 c.0uvtq keh :r to:+bktk3w z; ;t7k0mof oscillation.

  A 0.30-kg mass is suspended onb6wu/ 5i ak5snu,dt6bft/t9w a spring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled w,w 5b66/abf /5tkunsu9ditt 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 suspended on a spring. In equil4ks a3 xgfp.189 oewgfibrium 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 dow8g o agf.k1w4p se93xfn its equation of motion.

  An object in simple harmonic motion obeys the following posip53f xl w. q(-7zokobxtion versus time equatflqzwx7 obp5o 3(. x-kion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following position versus time equv01c3vahia/s gjz c 03atio 0scj0 3gzv/3a vacih1n:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonicabf*:d/9xyq 7n jzcbza- zqk/s7 ,u a ;a3qey7 motion obeys the following position versus time equati7ksn q/axq:z7*byqdcu/9- y z bae;, a3ja7fzon:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a sp. knj (ydme-yuww932y ring executes simple harmonic motion according to thndm2 w ky3e9-w.yj(u ye 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 cosz)sp:oe2 nj5 nstant of 20.0 N/m oscillates on a horizontal, frictionless track. At t= 0, the mass is rens)oz 2jpe:5s leased 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) What are its frequency and/0bbi ghr4i )f period on b0h 4giir bf/)Earth?

  A 3.00-kg pendulum is 28.84 m long. What is its period on Ear yvy7dqhq)ra3ag rlj /38 doj6-k.c0 fth?

  A pendulum has a period of 2. eb)o3z-z+mwc0og iv i4,*p nz0 s on Earth. What is its length?

  The pendulum of a grandfather clock is 1.0 m long. What is itsg jx0e4hdxs3qdwsn65w :2)px period on the Ea3 xwnj 42de6hxqpgxds5w :s) 0rth?

  The pendulum of a grandfathucn*7y6jlh70vzx xv4g m (3d wer clock is 1.0 m long. What is its period on the Moon where the acceleration due to gra74cmh7xwgd z x*3 uy60v jvln(vity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attached to a maseqdi.oq)38 zah)3dqc +v5cnusless 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 0.50-kg mass (same diameter se8hnqd q5ac 3z. qc3iv)+d)ouphere) had been attached to the string instead?

A simple pendulum consisting of a 20-g mass has initial angularf/ wg:c +(4ge l8utrwf displacement of 8.0e. It oscillates g(tw:f fg/8wuerlc4+ 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 u2q1 k)r0zf)g kc)nftm.0 ucw at a given time. The frequency of the wave is 120 Hz. What is t)nm)z. uqck1 gukw fc)t200frhe amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given n h 8fendy72 z.r6vg/ctime. The frequency of the wave is 120 Hz. What is the wh6/8dr nvg. zcyfen7 2avelength?

  Figure 11-2 is a "snapshot" of a wave at a givdrx*tw8v a 87len time. The frequency of the wave is 120 Hz. What is the wal ra wdx87*vt8ve speed?

  What is the frequenc d gh)g3v3em9j9-eye ry of a wave which has a period of 6.00 ms?

  What is the period of a wave with a frwn(,wnhfhnbp58;i 9 gn: z evqd )3uv+equency of 1500 Hz?

  What is the wave speed if a wave hag*9ys ;m vl as9ilf)g*r2g/ fvs a frequency of 12 Hz and a wavelength of 3.0 r g)fail/9y9 slg svg;**2vmfm?

  What is the velocity of a / ka mut38vw 0s,s 88qkkqpjf;wave that has a wavelength of 3.0 m and a frequency of k0m8,jpv8/aqqfsw u8 3 kskt; 12 Hz?

  What is the frequency of a 2.5 m wave trm)frdpa bw2s1,3 e lr4aveling at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is under a tension of 1350 0*s9p0j ,p2hl fh1n fxmhhkhg2ld;6q N. 0lshqfp0,xp*621h nhdk2mf lhhg9j ;What is the wave speed?

  A string of linear density 6.0 g/m is under a tension of 1kw b smq9,1h5w80 N. What is the velocity of propagation of transverse waves alon51w k w9q,hsmbg the string?

A wave whose wavelength is 0.500 m is traveling down a 500 m long wirebe1p1 s )lcyg:)o*e mdu; gql* whose total mass is*: ) gseblp 1mdoylu1*e;q)c g
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 transyci 02h0go. ks c/md*jverse 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 jicm/g*kc so0y 2h0.dency of this string?

  If a guitar string has a fundamental frequency of 500 Hz, wz9w65vmvq k9 fhich one of the following frequencies can set the string into resonant v95zm9wfkq6v vibration?

  A stretched string is observed dn) ukhj mddtth:f(n(u)xo 1f d92-o; to have four equal segments in a standing wave driven at a frequency of 480 Hz. What driving frequenc j ) 9:)n1d-nxuhkf ot(d2dmof;tuhd(y will set up a standing wave with five equal segments?

  A string, fixed at both 0 5/cghhqqv:z-tyq , .plo h*dends, vibrates at a frequency of 12 Hz with a standing transverse wave pattern containing 3 loops. Whpq- 5q chl0:.h,gqoh/*dytv zat 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 tensiogi2,+*j wj vzvn of 20 N. What should its length be if its fundamental resonance freqzv v,jw2i+g j*uency is 220 Hz?

  Find the first three harmonics of a string of linebth -p;aagbc 0.zyn+ 1ar mass density 2.00 g/m and lengh1pg 0+.cab; zt-nbya th 0.600 m when it is subjected to tension of 50.0 N.

A string of length 2l xl3 5tmmii+0.5 m is fixed at both ends. When the string vibrates at a frequency of 85 Hz, a standing wave with fm5 tmli3+ 0ixlive 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.