The time for one cycle of a periodi nf4q chg21g9uc process is called the

  For a periodic process, t u70gmpaf8hm/r/hb(h he number of cycles per unit time is called the

  For vibrational motion, the maximum displacement from the equilibr q*.r4h-by)6+ 14bc9 zawsah ;wvtmp ew;kgqwium point is called the aktb- wwv4)49sygw 1mr h;q bw+ce6a.*;zqph

  A mass on a spring undergoes SHM. When the mass is at ij 5b sp:0z./0iopuuk1c5v biyts maximum displacement from equilibrium, its instantaneous velocitp i uo5/.ki1j05 0cubpvysb:zy

  A mass on a spring u:odfk c*xc yfy6:yj:r2s95zm (k kq6 andergoes SHM. When the mass passes through the equilibrium position, its instantaneous vel 6 kqf okc5:s2c9jyd y (rmfkxa:z:y*6ocity

  A mass on a spring undergoes SHM. When the mass is at maximum displac27(y hoqkye8c ement from equilibrium, itsyo 78(2yec khq instantaneous acceleration

  A mass is attached to a vertical spring and bobs up and down between points A a-g.ierz kz r+b0e45itnd B. Where is the mass located when its kinetie rt05ikze.g - +bzr4ic energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down between points yw,k*er6agp6l d7ae 907a ofg A and B.awfrdyakop6e77g6 0lg a*9,e Where is the mass located when its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up and down begn- f c1-wub; ffidfwe;6)eq+ p,w)dctween points A and B. Where is thq-)w+c-p cff,ebwid wu f eg6;1fn) ;de mass located when its potential energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down between points Aya8 m88h j+;w obnd,fk and B. Where is the mass located whenk8bn+w8d8;y fmh aj, o its potential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-sprind)tu r;,f vydeiyt62p- v6;ltg system produces what effect on the system's met6u;rdy-,yi )dt eplvvf2t ;6chanical energy?

  Doubling only the mass of a vibratizna f0+,(u ixgng mass-and-spring system produces what effect on the system's mechanical enzfxa gn(i0+u,ergy?

  Doubling only the spring constant of a vi; p98 q-oma;b anaze2(nsdrn 9brating mass-and-spring system produces what effect on the system's mechanical e8dom;an a9;2r 9sbqpe-n n (zanergy?

  A mass oscillates on the end of a spring, both on Earth and on the Mooy gr)6p3). 7o enplegzn. Where is th) )yo prgln.ep3ez7 6ge period the greatest?

  Increasing the spring constant k ofc9 tr3gvl /;fw a mass-and-spring system causes what kind of change in the resonant frequency of the system? (Assume no ct;wrv9fgc /3lhange in the system's mass m.)

  Increasing the mass M of a ma167yvq uvn v ,v;/unpqss-and-spring system causes what kind of change in the resonant frequency of the system? (Assume no cpqnvy6; v /vvn7 u,qu1hange in the system's spring constant k.)

  Increasing the amplith ::qatrs(c:u( ,uht nude of a mass-and-spring system causes what kind of change in the resonant freque:q( (,ua h:crtthnu:sncy 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 mass M attachedb z7u +v1j)7 (a sashfw83imhgjb:vv- to a weightless string of length L. For this system, when undergoing small oscillationsiuaf-mb v(7a3bjw 7vs sh +j 1g8)z:vh

  When the mass of a simple pendulum is tripled, the time required for one g3qyrbu2:w6-)( vkq kefnlej ci1i9 fu5m.) icomplete vibration6kjq.ig3ev5(-i: nuf k iu y1bmwrqle 9))c 2f

  Both pendulum A and B are 3.0 m long4a1 .kyz;6 4j*bjaeb(xw9er eob.g ig. The period of A is T. Pendulum A is twice as heavy as pendulum B. What is the period ofz( 6g.j4 yx;beo.er4ag*wab9 bijk1 e B?

  When the length of a simple pendulum is tripled, the time for one )lo 8atbeh i9qb4uoxg(i(k q 99 i,0nacomplete vibration increases b9og94,9 (q)au nbqkb8o0at xhii(iely a factor of

  What happens to a simple pendulum's 4vy4h286ceks n8 gpocfrequency if both its length and mass are increape2v 8coc4h68 ky4n gssed?

  Simple pendulum A swings back and forth at twice the frequency of simple giu531 je ggr2htt02d1g xxn3 pendulumed t i5 320n1jgxg3 2u1hgxrtg B. Which statement is correct?

  If you take a given k p30 zbip,*zwpendulum to the Moon, where the acceleration of gravity is less than on Earth, the res*pbzk z3ip,w0 onant frequency of the pendulum will

  Curve A in Fig. 11-1 rkk08;o/o *swyjoe *o zl/m1 jdepresents

  Curve B in Fig. 11-1 roqvu;v9nl4 hz+8 hl(i epresents

  Curve C in Fig. 11-1tr9)ptb;nat 8 represents

  For a forced vibration, the amplitude of vibration is found v) tndot ft(ly0ye4hv4ty*f4xb 55 a9to depend on the

  In a wave, the maximum displacement of points of the wave from eq8c6 z)nyq. egfuilibrium is callg8 )ncf6y eqz.ed the wave's

  The distance between successive crests ()lnsj1 3znge,fok b2on a wave is called the wave's

  The number of crests of a wave passing a po-n(j)h6 dydwj int per unit time is called the wave's-6h)dd yjnwj (

  For a wave, the frequency.-h bmb 9vqec9x g/zr4 times the wavelength is the wave's

  The frequency of a wave increases. What happens to the distance between success j7l* s) co87okdo :s+hao :c+oc;cabvive k)cd 8v* osh;+ljo:7ca+:cso o oc b7acrests if the speed remains constant?

  A wave moves on a string with wavelength l and.p p-ual3e6 kwqxq)ifcbr*22 frequency f. A second wave on the same string has wavelength 2l and travels with the same velocity. What is the frequeqfp6u r -e 3pbckq2xia*l2w .)ncy of the second wave?

  Consider a traveling wave on a string of length L, masy+cjuh30 u8milu0 v oo+y-u (hs M, and tension T. A standing wave is set up. Which of the following is truu8h0u3+y+i 0( vjc oyl-uouhme?

  A string of mass m and length L is under tension bwm-yjs;- z8z+zq. emT. The speed of a wave in the string is v. Wha-zymw.mb+-se z 8jz; qt will be the speed 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 lvcsgup;ad 1 s8u(6c15p ml6o oength 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 increased to 2L, witgs5u6 aod61smo vcp8u;pc1 l (h no change in mass?

  A string of mass m and length L is undemyom )6bd3hce9 )s 81p0tfowor 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 tensio t80oc w6 hpb)o1e3m9ys mdf)on is increased to 2T?

  In seismology, the S wave is a transverse wave. As an S wave travely(bm u:oiga1(kx9 elqjf*p :q l8rp 2jv :x6m,s through the Earth, the relatirvkqao8*: ej2pxf1gl,qj mbx iu(6 l:(9my:pve motion between the S wave and the particles is

  In seismology, the P wave is a lj.. 8i jg6rvrtjz4*o aazp1s) ongitudinal wave. As a P wave travels through the Earth, the relative motion between the P wave and the particr*z.14 a6)zjj g ts8vrjio.pales is

  The intensity of a wawz di*t 4t )d+vttg*ggm6 :db.ve is

  A wave pulse traveling to t2j/8.1kcyl/k7 e cf fbg hx3mihe right along a thin cord reaches a discontinuity where the rope becomes thicker and heavier.f jicgfl cke8//xykhm3 b21 .7 What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive am; e6rl1d ua9,x .wwockplitudes pass each other on a string, one is traveling toward the right and the other toward the left. At the point that ;rdw6xakle91cw u. ,othey occupy the same region of space at the same time

  Two wave pulses pass each other on a string. The one traveling towar+ izc6+vj wt/dd the right has a positive amplitude, while the one traveling toward the left has an equa6djvcit +z+/ wl 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 strinba96ty9e 1iz jq i,nj.g fixed at both ends, occurs when

  If one doubles the tension in a violin string, the fundamentk0 s nbue) -bhv4ogl an4,q06yal frequency of that string will increase by a fac4yo4s ) h0g0q,u an6-vn blbektor of

  What is the spring constant of a spring that stretches 2.00 cm whe:jy * ;p;nfinmn a mass of 0.600 kg is suspended ffyn; nim :*jp;rom it?

  A mass is attached t:t e ma fpg*xz+)3:abu+j pa ucj.gs1+o a spring of spring constant 60 N/m along a horizontal, frictionless surface. The spring is initially bfm u1+ug: g3aa .*:jjzp sax)+t+cepstretched 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 spring constant 60 N/m along a horizsy75t f4pmn 8yontal, 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 positi f7n4t58spmy yon when it is oscillating. What is the period of oscillation?

  A mass is attached to a spring of spring constant 60 N/m along a horizontabe 6f4/s-z xxul, frictionless surfa/6ues4 x-bfxzce. 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 frequency of oscillation?

  A mass on a spring undergoes SHM. /w2ubsy.stq;vi,w ol0 i 4t qt7rgg*1 It goes through 10 complete oscillations in 5.0 s. qi srttl01w .gsyt2 /i4wuo7;qg,bv* What is the period?

  A mass vibrates back and forth from the free end of ar6 dhj1e. s4bxn ideal spring of spring constant 20 N/m with an amplitude of 0.30 m. What is the kinetic energy of this vibrating mass whe1h6rsxj be4d .n it is 0.30 m from its equilibrium position?

  A 0.50-kg mass is attached to a springn4,ybed 1g)*l in 97oi.pvrml of spring constant 20 N/m along a horizontal, frictionless surface. The object oseb,o9nd mriy 1 pnl4) vig.l7*cillates 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 hxz3d e 1riy6n8+ /gjuy3dlj 2zpq-op 0,7wse energy is 8.0 J at this time. The mass is cut in half, and the system is again sj82+j17l qsx -ow03ieedzr dn ,gzppyuy/3 h6et in motion with amplitude 4.0 cm. What is the energy of the system now?

  A 0.50-kg mass is attached to a ea8hq35ho+ qtslx/+ h:r 2ma wspring 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 the ampli8+woxr+leatmq25a h3h: s qh/ tude of vibration?

  A 0.50-kg mass is attached to a spring o xe3/ujcq9 n2pf spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 /3cjx2neuqp 9m/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 horizontal spring oo3 j(kbc rb4p79f2wl mf spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the total mechanical energwcor72lpjk3 f( 9mb b4y of this system?

  A 2.0-kg mass is attached to the end9us4; pvv :4z p;pujmo of a horizontal spring of spring constant 50 N/m and set into simple harmonic mot;4zppu9m vjov4ups: ; ion with an amplitude of 0.10 m. What is the total mechanical energy of this system?

  A mass vibrates back au/kj 3.b r,vcg 4ry1( .dsgwoand forth from the free end of an ideal spring of spring constant 20.0 N/m with an amplitude of 0.250 m...s jyru1d 4b wr,o(agg c/vk3 What is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring system is displaced 10 cm f k)dcu 9yrxe;4rom its equilibrium position and released. A dy4k r9 xu);ecfrequency 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 spring of spring constant 10fu 2fsvgj*0 5f N/m. The object is displf*u0j5f fs2 gvaced 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 spr;ac sfec 5lw6sp+ at0(civ.xq(5 s.rsing of spring constant 10 N/m. The object ircp0 q e csvafx6ac55s(ssil. ;.wt( +s 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 spring constant 18 N/m, displaceiv3 i;4rtr0 wnd slightly from its equilibrium position, and released. What is the frequency of its iv ;it4rwr3n0 vibration?

  A mass is attached to a spring. It oscilv i7b+im:wd:xlates at a frequency of 1.27 Hz when displaced a distance ofi:vib:7wx dm+ 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:nep,o0 /-gq.q 6+yf* ufqvh 1bkraaz 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 ofpa h,q .ra6b1qv/e k- 0 u+fqf:noy*gz 16 Hz. How does the maximum speed of A compare to the maximum speed of B?

  A 0.30-kg mass is suspended on,1dlhzq5 p 2u6qhqi tj/9 y+es a spring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pul9yqhq 2qj1z uep lti+5h/ 6ds,led an 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 equiliuqkze 5yg1;i 8pj ;7cawr:i0+wo 5 nhmbrium the mass stretches the spring 2.0 cm downward. The mass is then pq15j8w;e+n5c g: r aikzwhi uy07m;o 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 suspended on a spring. In equilibrium the mct 8 5/8wir, jsa2ao2frnc9ds ass stretches the spring 2.0 cm downward. The mass is aaf88sd 22rw ts59o jnr,i/cc then pulled an additional distance of 1.0 cm down and released from rest. Write down its equation of motion.

  An object in simple harhi6,;zg d j:ks 3x*afxmonic motion obeys the following position versus time equationxgh:*z ;a6 k,3 xfdisj:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following positi 7b,eoqekk1(7 tz8qmi on versus time equatioe71 ,qokeb78q tkz (min:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following position versus crjq.0 v8z5antime equrz.q0 naj85 vcation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of aepl+1u gw (qk( spring executes simple harmonic motion according to the equatione+p((q ulw1 kg $y = 0.50 \; \sin (18\pi \times t)$ 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 fo3:d10 g,as lutjcdh*s rce constant of 20.0 N/m oscillates on a horizontal, frictionless track. At t= 0, the mass is released from rest at x= 10.0 cm. 3,tlsh*s1d:ua cd j0g (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 2:06a*btshqyr r ;, yqywp7nmin 8.0 s. (a) What are its frequency and period on Ep;*r w: r 20yn qybmy,sqa67tharth?

  A 3.00-kg pendulum is 28.84 m long. What is its period on alpq/ c)x1r1 f 5sr;vqEarth?

  A pendulum has a period of 2.0 s pid94*kjrqrp9ixfhcg2; * d;on Earth. What is its length?

  The pendulum of a grandfather clock is 1.0 m long. What is its period on trh8b;s(7lbyegi ,w8 y78f edjhe Earthgey8;rwil8yd( bfh,e7sb7 8j?

  The pendulum of a grandfather clock is 1.b9o ;pc ovnps:h+ ci 9u-x;7ex0 m long. What is its period on the Moon where the acceleration due to gravobe;-cn o:9 + xis7cuhvp9;p xity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mp2 ez0(8 rd+2sw jab9hh-u/gr /4pik v fkpzi0ass 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 resulte/zza4j (hrswpi2g dh0+k 8efup9r ip 0-/kv2bd if a 0.50-kg mass (same diameter sphere) had been attached to the string instead?

A simple pendulum consisting of a 20-g mass has initialaj9bp9e em .pyx s)r;) angular displacement of 8.0e. It oscillates with a period of 3.00 s9pex9 ;bs )m.rey jp)a.
(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 ak+nf0 0jn+bn .n lu18v-wm bqpt a given time. The frequency of the wave is 120 Hz. What is the -b8n0n0+umql.wk1 + vpnfjbn amplitude?

  Figure 11-2 is a "snapshot" of a pw xgeerz.004 wave at a given time. The frequency of the wav w0gxze0p.4 ree is 120 Hz. What is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given time. T ,r amv3owo7.ihe frequency of the waveoow.3v i,7mar is 120 Hz. What is the wave speed?

  What is the frequency of a wave wh0 flu:d iy03tcoocz*,/yc9ahich has a period of 6.00 ms?

  What is the period of a wave with a frequency of 1500 dt5:.v +w83yw ,eu9 eoim qzniHz?

  What is the wave speed if a wave has a freqpa b36 q3v*igruency of 12 Hz and a wavelength of 3.0 mbpr* i6vq3ga3 ?

  What is the velocity of aq,7 + +ebuz6db ;;gnz c*pxleq wave that has a wavelength of 3.0 m and a frequency of 1,dq* ze; xg un6;b+q+bz7clpe2 Hz?

  What is the frequencyg-yj8ylr 8itd4+ j e8o(jey* f of a 2.5 m wave traveling at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is under a tension of mz5o o:y -p2dw3 tq* woa6lap71350 N. 5t3a2m o -a:dlpq*7w6oywzo pWhat is the wave speed?

  A string of linear density 6.0 g:/+.qnfnxwk9y;c d gi/m is under a tension of 180 N. What is the velocity of propagation of transverse wa gwd/ xkfc 9;.:yq+innves along the string?

A wave whose wavelength is 0.500 m is traveling dm ex 6x4ucqw 34cx;(nbown a 500 m long wire whose totale6 4 ncq(xu3w;bcx4mx 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 transverse wave on a 2.0-m long string fixedjn2 bqqg6y .fk qryr.ud19:y( at both ends is 200 m/s. Which one of the following is not a resonant frequency of this strinby grq.6y:qyk(ufdqj1r2n.9 g?

  If a guitar string has ryaub sq0k3c)k*vh;(o.tqgseh73) w a fundamental frequency of 500 Hz, which one of the following frequencies can set the string into cth.kv3;se( g)30kr uwaqo* y7bq)hs resonant vibration?

  A stretched string is observed to have four equal segments in o soohlcyr0 mtsr. tde k-b9,:ifd) 76m,:w8pa standing wave drivet6m.e m:pt7osf k8 lc ,wdor r,i9b yos-0:dh)n at a frequency of 480 Hz. What driving frequency will set up a standing wave with five equal segments?

  A string, fixed at botp9x.w bn*)7q+mlh;e nenvm h4h ends, vibrates at a frequency of 12 Hz with a standing transverse wave pattern containing 3 loope)p.m94 nvqlm+h7nwnb x;* ehs. What 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 te y0ymk jdgn339nsion of 20 N. What should its length be if its fundamental n0 jm33dg9kyyresonance frequency is 220 Hz?

  Find the first three harmonics of a string of mp-at twg( ytm)k722 uhz8 gf)linear mass density 2.00 g/m and length 0.600 m when it is subjec7h )tz8tumky) gtma22g(fp-wted to tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. Whhj+-y ,va qeo(en the string vibrates at a frequeohvq+aj y- ,(ency 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.