The time for one cycle of a periodic process is called the9tu a8;oo46;mvo8ydtlhd0pnk7 f o w)

  For a periodic proceu efyokfl sy ,fj*q. 4f.t5stm 48)dd8ss, the number of cycles per unit time is called the

  For vibrational motion, the maximum displacement from the equilibr7uu j6s d 5h)dnxa/*xfium point is called xnxh)5d7sj 6u a d*u/fthe

  A mass on a spring undergoes SHM. When the mass is at its maximum dimuu qzld51*7njx6kb 8splacement from equilibrium, ibxn *lz dq5jk7 uu861mts instantaneous velocity

  A mass on a spring undergoes SHM. When the mass passes through the equilibrium rnn t2miy/k3v *d9r+wzn f0v- position, its df+v-n nn3t/ rkzwmr2i9*v 0y instantaneous velocity

  A mass on a spring undjut )s-nh c*p8ztl: n4ergoes SHM. When the mass is at maximum displacement from equilibrium, its instantaneous acceleratio4:hutps jz)- l8*nntcn

  A mass is attached to a vertical spring and bobs up and down between point 3;zd7ugvv.hl s A and B. W.gz;3vvdul7h here is the mass located when its kinetic energy is a minimum?

  A mass is attached to ajs(k(5wvl xm7n/2qpkdq5sm fl 4jk 0* vertical spring and bobs up and down between points A and B. Where is the mass located when it245 xv pkwmmsj(7n l5/(lf* qjskd 0qks kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up and down between points A n wcuze 02e4-7rb8bv dand B. Where is the mass located when its potential energy is a minimu-zdubc 4 b2ee 78nw0vrm?

  A mass is attached to a vertical spring and bobs up and down between points A .2r +8uaffe9uaz -ux01kouu s and B. Where is the mass located when its p raz1fuu0+2uoku uf- .xsa8e9 otential energy is a maximum?

  Doubling only the amplitude of azb4 hca blti-v05 6q+k1ay(p9+knei r vibrating mass-and-spring system produces what e 14aa6b9 +-ib5 r(+peic nqlkzyvkht0ffect on the system's mechanical energy?

  Doubling only the mass of a vibrating mag0lx-n6v9y qz3d4j.pjj 7obf ss-and-spring system produces what effect on the s 7jb6jdqnjyfv9g. pl -z4x3 0oystem's mechanical energy?

  Doubling only the spring constant of a vibratingpqb64aj a rhnm 78)s0pke8u8g mass-and-spring system produces what effe84bh8ea)s 8 0panu 6qkgmr7pjct on the system's mechanical energy?

  A mass oscillates on the end of a euipvh6/9c u, ygc9r0 spring, both on Earth and on the Moon. Where is the period the greav9ceicr6yg/p9 u , 0hutest?

  Increasing the spring const)tpa.88 7bbajx1o ajai t q.(dant k of a mass-and-spring system causes what kind of change in the resonant frequency of the system? (Assubx 1 a)jabjt idap. 8.7to(aq8me no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring systeb: imk702 j8 oei su0bugfk7 hr/l:1rrm causes what kind of change in the resonant frequency of the system? (Assume no change in the systemf rujhliu/1k 2 b:7rm7:i00beogsk 8 r's spring constant k.)

  Increasing the amplitude of a mass-upsn 53 ul x4ekca45y*and-spring system causes what kind of change in xlu4k *c34ys 5ue5 apnthe resonant frequency 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 attaf faw1ln68u7a.;pj md ched to a weightless string of length L. For this system, w;p w8aad6un7.jl mf1f hen undergoing small oscillations

  When the mass of a simple pendulum is tripled3jbaw(6/z /cukg x:8x,ur g do, the time required for one complete vibrazk c/abgux/wjdr:o, xu g8 63(tion

  Both pendulum A and B are 3.0 m long. The )yw:wxu2d ocqsg z3s6* t/v1wperiod of A is T. Pendulum A is twice as heavy as pendulum B. What is the period of Bw2:yud*vwxo61sz) t swq /3g c?

  When the length of a simple pendulum is trie*( a8 cbvjd huqsddy:iu0/**o+ c v+qpled, the time for one complete vibration increases by a factor o8uv*vud c*/oq*ab(ed h+q sy: jd+ic0f

  What happens to a simple pendulum's freq9c oood:dgyl/ew i )1+uency if both its length and mass are increased?9o:wgy/o e)iodd l +1c

  Simple pendulum A swings back and forth *rum1l 5 (ixhlat twice the frequency of simple pendulum B. Which statement i( riu1 lmh*5xls correct?

  If you take a given pv(r7kbt;p i. vendulum to the Moon, where the acceleration of gravity is less than b v.rv(k7p;ti on Earth, the resonant frequency of the pendulum will

  Curve A in Fig. 11-1 reprey+3ok 0bb+fwvlui3:u gd2mdh-h; h r +sents

  Curve B in Fig. 11-1 4ujfz9r aoon6,) wr9arepresents

  Curve C in Fig. 11-1 repre4dpr70 :+ rh sxn6b2cdck p8bwsents

  For a forced vibration, the amplitude of vibratrrdh +swf.ik 982 es pd2*i4njion is found to depend on the

  In a wave, the maximum displacement of points of the wave from equilibrium y)d /rloxhu.5j/z4k mis called the wave.ox lu5 //jdz)hy4m kr's

  The distance between successive crestsxshz+0g 7 /naq on a wave is called the wave's

  The number of crests of a wave passing a point per unit time i9hv5al*x a lrfyx- 3l-s called the wave'* xyr93-a5llavlx - fhs

  For a wave, the frequency times the wavelength is the wave's;* dp .u8ktopnx42jwq

  The frequency of a wav5uqzks 2 p ++di3ali/ke increases. What happens to the distance between successive crests if the speed u+dika2sp/ +lzq 3i5k remains constant?

  A wave moves on a string with wavelength l ansdzjmp 4: u6i7d frequency f. A second wave on the same string has w:m 6p4jdzi7usavelength 2l and travels with the same velocity. What is the frequency of the second wave?

  Consider a traveling wave on a strvbv9vtl*v rr8*m1z8g ing of length L, mass M, and tension T. A standb8 vvr v*mlzrvt8 g*19ing wave is set up. Which of the following is true?

  A string of mass m and le/4its (ct3uoc ez2r7e:xxhmb a b.7m *ngth 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 mass of the string is increased to 2m, witr(b4m3/xh7t. e 7m:uo2cc axztbis*e h no change in length?

  A string of mass m a fzmnl.og91n/wp 3k5m nd length L is under tension T. The speed of a wave in the stfw5nkn3l/1 p.mmz9 g oring is v. What 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 L is under t4i50jmlg t6ug ension T. The speed of a wave in the string is v. What will be the speed of m45g6ju0 gi lta wave in the string if the tension is increased to 2T?

  In seismology, the S wav3z 7;zuff pijwkaq4 e2 :1cdwol10r/69ym l foe is a transverse wave. As an S wave travels through the Earth, the relative motion between the S wave and the particlq a3dl7 4p 6o2i9rkc u:f0z1ywwoz/lfe 1j;mfes is

  In seismology, the P wave is a longitudinal wave. As a P wave travels throua 0(o a;/m0bq + qtzbvy/xg2klgh the Earth, the relative motion between the P wave and (lb +/ 0v a2b/qoq0a zktgyx;mthe particles is

  The intensity of a wavy0m e ez2p-23bn o4i; 8oiwdcr)ftn; :n6ctjb e is

  A wave pulse traveling to the right along a tii4(ewv z 5+d lqi*mf*hin cord reaches a discontinuity where the rope becomes thi5miwq iz4*i ef+d vl*(cker and heavier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitud0- 7;c2ybxme lvqx;ofes pass each other on a string, one is traveling toward the right and the other toward the left. At the oxq-y x0;7v;lfb 2emcpoint that they occupy the same region of space at the same time

  Two wave pulses pass each o movb8htd 8ezp22o 6h9f 4kuj1ther 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. 28 upkoh1v9ode 2bm8 jzt4fh6 At the point that they occupy the same region of space at the same time

  Resonance in a system, such as a st,cij ./.mxsx xring fixed at both ends, occurs when

  If one doubles the tension in a vioyd; qso+f:x- dh1h7 lxd6w0pq lin string, the fundamental frequency of that string will increapq:f1hhx-do d0wd6s 7+qly;xse by a factor of

  What is the spring constant of a spring that stretches 2.00 cm when a mash:145gbcq/wfrnk 3 ov7k)ter s of 0.600 kg is suspendg:1r e3hv)kk/c4q7n 5bfto w red from it?

  A mass is attached to a spring of spring constant 60 N/m along a hodc 6t8 lz4- e*mgsai9-ih *nxrrizontal, frictionless surface. The spring is initially stretched by a force of 5.0 N on the mass and let go. It takes the ma- *cg rtms649dx-enil8*zi ha ss 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 a 0xfb:rn(q,z 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 tr,:nqzxab(f 0o go back to its equilibrium position when it is oscillating. What is the period of oscillation?

  A mass is attached tod)myr c mjl3kol/:a+4 a spring of spring constant 60 N/m along a horizontal, frictionless surface. The spring is initially ) /lc4 djym3r+lka mo: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. It goes through 10 complete o5hcy inr4nc8 c4oeg6-scillations in 5.0 s. What is tgc cy 5c4io-r68ne hn4he period?

  A mass vibrates back and forth from the frei. + *pjmee8vhru: y4ve end of an ideal spring of spring constant 20 v:iv myeur*.+ ph8ej4N/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 equilibrium position?

  A 0.50-kg mass is attached to 6nixv4u 4 v 3zldyt0-vq or6*ga spring of spring constant 20 N/m along a horizontal, frictionless surfa6gv-60vy 3qzlrdnvo4t* 4iuxce. 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 8.0 J at thidunolj 1 t(n4)s time. The mass is cut in half, and the system is again set in motion with amplitude 4.0 cm. What is the energy of the system n) ntu4nodj1( low?

  A 0.50-kg mass is attached to a spriw8pog0s/i6 oit/ lq2 qng of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in sig6 8wq0pi/q/lots2 o imple 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 constaue9o,vxmt+v+8 ( 1q 9gdb-azq3lm zlk nt 20 N/m along a horizontal, frictionless xg vlmqvm1o3-(u+k9e,l 98 ad tz+qz bsurface. The object oscillates 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 end of a horizo +oq-alw:a1fhntal spring of spring constant 50 N/m and s:hf awq- ao1+let into 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 horizonta-mx jo4a,ju mq850 :e/,aq wkw zgvh/hl spring of spring constant 50 N/m and set into simple harmonic motion with m4 q:kuj h,ah80 q/, agwo/w 5ezvmx-jan amplitude of 0.10 m. What is the total mechanical energy of this system?

  A mass vibrates back and fodz(xo ex- 1swg6i oll, y213icrth from the free end of an ideal spring of spring consx ,d3el -igsy 1zwol(i 1cox62tant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring system is displaced 10 cm from its equi/x0r ppzgk :uc*rew- *librium position and released. A frequency of 4.0 Hz is observed. What frequency would be observed if the mass had b-* rg ue*:rk/ pp0xczween displaced only 5.0 cm and then released?

  A 4.0-kg object is attached to2w ) ro9ncrx9 n3t+gbg a spring of spring constant 10 N/m. The object is displacwx)n2rnbtg3r9go 9+c ed 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 154wyqwg-8tj n0 N/m. The object i4n 5wt -wjyq8gs 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, displaced slim-l1 m4d;d71zd mwrqc ghtly from its equilibrium position, and released. What isddm1z c;-m mw7lrq1d 4 the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequency of 1.27 Hz wheqo+ ev2hb8z4a n displaced a distance of 2.0 cm from equilibrium and released. Whath +bv4z2aeq8o is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to different sprcr:lcj/dwi:o , 4 sp( /so4zamings. Mass A vibrates with amplitudem:/ lzaor/s4cwic( 4 d p,oj:s 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 spn/6c (tzt2mn oring. In equilibrium the mass stretches the spring 2.0 mnn2zt6o(tc /cm downward. The mass is then pulled 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 equilibrium5iijwfrs11ad a s8. 8 q)s-eep 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 total energy of the systessd) iipfe 181q 8raesj w.-a5m.

  A 0.30-kg mass is suspended on a spring. In equilibrium th-g(-b-yc rb ldjof.u0e mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and o0. (b-bc-ujlr -fdygreleased from rest. Write down its equation of motion.

  An object in simple harmonic motion obeys the following position versus time16 v e,vvy+d;y6krh4;zejgsu equatvve4, syy16gu h;j;dr+ezkv6 ion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following position versus tixi;m m ve8+ uch:7hgs. 9fh*8nlgn6nlme equat*v6hxg8n mng 7u. 9f hhi+8;le:mcl nsion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motionz:7)sypt io2a/k,,k m2 t1gww epzzy 2 obeys the following position versus time equ s/ 2e2yzwkpta2)to7k m1,,wz: zgpyi ation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free enq4lxt +pkzdo, w 73,yod of a spring executes simple harmonic motion accordingwqxt+k4l 3dyz, o,7o p 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 of 20qv2rvefp8* r1u. o+lc .0 N/m oscillates on a horizontal, frictionless track. At t= 0, the mass is released from rest at x= 10.0 cm. (That is, the spring is st qec28plru r*+f.vv o1retched 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 iw f57,uhrg (.veznikyjll/ ,u2 46nizts frequency and period on Earflk z,vnunwi, 27( h4g5rle/uzyi6. jth?

  A 3.00-kg pendulum is 28.84 m long. Wha4:qrxnpf *gq v6pq: 6e3mnhx (t is its period on Earth?

  A pendulum has a period of 2.0 s on Earth. What i02t9*h33egckunn) mddhc . ays its length?

  The pendulum of a grandfather clock is 1.0 m long. What is its period o:nm : 6iko-warwnq;p(n the Eart (:p6owakn;wn-mq : irh?

  The pendulum of a grandfa+mlbyc; ds+3lr s(i k1ther clock is 1.0 m long. What is its period on the Moon wher ;3l yl+s+bsmkd(1ri ce the acceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 04;rpww9lllj (.25-kg spherical mass attached to a massless string. When the mass is displaced slightly from its equilibrium position and released, thejp w4l;rl(wl 9 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 sphere) had been attached to the string instead?

A simple pendulum consisl)ypjl n7s(l 7uj4(xvting of a 20-g mass has initial angular displacement of 8.0e. It oscillates with au7(( ny4 lpl)jv7lx sj 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 time. The frefy)8 ihjs)6hw quency of the wave is 120 Hz. What is the y )8sjihf)6hw amplitude?

  Figure 11-2 is a "snapshot" of a wave at a givent0;vn,e6ydgx*8h m ou aauet(88 iz9i, nj9tl time. The frequency of the wave is 120 Hz. What is the wavelend8zn t teh9mu,8ii6yon8ux9;vg0aj l a(t,e *gth?

  Figure 11-2 is a "snapshot" of a wave at a .it6/gga,wngyr s80ta ;gpo; given time. The frequency of the wavesnya woi 8ag.gg tgp;,6;/r0t is 120 Hz. What is the wave speed?

  What is the frequency oy c+ /i./isa0+dfjf swf a wave which has a period of 6.00 ms?

  What is the period of a wave with a freqth ;zli:ztz5 ,q7)lrcql 7e di;4 l:aduency of 1500 Hz?

  What is the wave speed if a wave has a frequencyb 7n /9cp3eim7mtvgq7 of 12 Hz and a wavelength of 3.0 ipcmve/ 7gnqtb397m 7m?

  What is the velocity4gncjc/ j; qswm46:q7 1fcr 3v 4j ke41qrxnxs of a wave that has a wavelength of 3.0 m and a frequency of 71w;s c6g sfqjj nqr4: /1r eqxj4xc4nm4k3cv12 Hz?

  What is the frequency of a .z6u/-grvd kl2.5 m wave traveling at 1400 m/s?

  A piano string of linear mass dewiovd*p4w29* hez5zo nsity 0.0050 kg/m is under a tension of 1350 N. Whd z 5*oi* how42ewvp9zat is the wave speed?

  A string of linear density 6.0 g/m fvpb,yfq6nyy (2 ;qt8tq.v1 4y3b t ,i2jouqlis under a tension of 180 N. What is the velocity of propagation of transverse wyyb. fo(vf2lqtqiy3tvb t4y2,;6 jqu pq n1,8aves along the string?

A wave whose wavelength is 0.500 m is traveling down a 5 h0mi8 kc87lic00 m long wire whose total mass is8hlc7 ck08ii m
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 propagaafiz 0,0ob)k; v hq/sption of a transverse wave on a 2.0-m long string fixed at both ends is 200 m/s. Who,z s/av;00 qhp)fbk iich one of the following is not a resonant frequency of this string?

  If a guitar string has a fundamental frequency o4es 9l+png oa:4lddpt .hv-w1f 500 Hz, which one of the following frequencies can set the string into resonant vibration-op4el9:.dg+pwas tlh41vd n ?

  A stretched string is zd8 zk5r4.5jg6a umdvwsg c) 6observed to have four equal segments in a standing wave driven at a frequency of 480 Hz. What drivi 55wz sv u.gmk6d8rdzcaj6g)4ng frequency will set up a standing wave with five equal segments?

  A string, fixed at bhzehh6j0k v4p 16zr a 1aru+.xoth ends, vibrates at a frequency of 12 Hz with a standing transverse wave pattern contauxhpk 0j1ahhe 6+14zz var6r.ining 3 loops. 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 tension of 20 N. What should itsj8qz ,ep-9k bnyf8 sfvy3l+w5 length be if its fundamental relqj9p zsvwk f8, f3eyby-+58nsonance frequency is 220 Hz?

  Find the first three harmonp 7-hmv.vjjn6 ics of a string of linear mass density 2.00 g/m and length 0.600 m when it is subjected to tensio j7m vnhp6v-.jn of 50.0 N.

A string of length 2.5 m is fixed at both ends. When the string vibrat)juvk3.qjzu;rz3 rup6e. p+ ies at a frequency of 85 Hz, ju;r)3 uejiv.uzp.6rq+k 3zpa 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.