The time for one cycle of a periodic process is call*ulhachcu 7( 7 u;ux5hed the

  For a periodic process, the number of cyclqm/ 2h8d/-huo t hrbl-es per unit time is called the

  For vibrational motion, the maximum displacement from the equilibrium point in7bw-wwns.2x s ca.n2 bww x7w-snlled the

  A mass on a spring undergoes SHM. When the massaq dj,mm 6 4s+viiznt-;.zf-u is at its maximum displacement from equils qauim- ,z+. ntid-;jvf 64mzibrium, its instantaneous velocity

  A mass on a spring unx9s* icvmdr 9 kjta(92dergoes SHM. When the mass passes through the equilibrium position, its insttckm9a j v9idx2(*r9s antaneous velocity

  A mass on a spring undergoes SHM. When the mass is at maximum displaceme8-stn: z krv,int from equilibrium, its instantaneous acceleratiois 8rz,t: nkv-n

  A mass is attached to a vertical spring and bobs up and down be 3a5znufp3oe 3oa) 9notween points A and B. 3 n5u oen3a f)p3z9oaoWhere is the mass located when its kinetic energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down betwe3vzw9w hano(. en points A anh.a3w zn(9 vowd B. 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 between poifkpgw. 0/:5te y8 h 8ydjpvtzz3sk /c:nts A and B. Where is the mass located when its /jzt8svywc8d50p.k:: z yh3/p ft kge potential energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down between pointsns fqan50knu )kp h7*3ja oz3. A and B. Where isn35h7p kan k a* 0)nofq.3zsuj the mass located when its potential energy is a maximum?

  Doubling only the amplitude of a vibrating masjjot8 e5ev -(fq-u wa,s-and-spring system produces what effect on th(jaejq ,ft w-evou-8 5e system's mechanical energy?

  Doubling only the mass of a vibrating mass-and-spring system jc2ir0v1 xt0a produces what effect on the system's mechanica1ri t00xcj2 val energy?

  Doubling only the spring constant of andazu c2oc5f/m61 ism 72i*cm vibrating mass-and-spring system produces what effect on the system's mechu2omf i 5/d1cs7nc*ci2z a6m manical energy?

  A mass oscillates on the end of a spring, both on Earth anrw3d i9ik/t -kd on the Moon. Where is the period twdti-9 krik /3he greatest?

  Increasing the spring constant k of a mass-and-spring system causes what k 3 p .yxn d8o3n1/*wrlkw+xfziein:3sind of change in the resonant frequency of the sys+xfi . d3x/enr wk :siwlp3ynn8*1z3o tem? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system cau( dttl;*9s-x/w6 d h 4ttzmyjxn;q6rgses what kind of change in the resonant frequez-dht 4xtr jt *(sywgq ndx6l6 /tm;;9ncy of the system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-sptnys5axu9dbke+o i46 vw /6u-ring system causes what kind of change in the resonant frequency of the system? (As+s k4w 6yx uonv-e6 /ua9ti5bdsume 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 attacm5jyoec e20e8hed to a weightless string of length L. For this system, whencj5 yeo8em02 e undergoing small oscillations

  When the mass of a simple pendul- xy m72tz7ozcum is tripled, the time required for one complete 77z czxtm -2yovibration

  Both pendulum A and B are 3.0 nl g8 thg)ic-wf)2v+v- 5mxoam long. The period of A is T. Pendulum A is twice a-xi tgh+)wvl) v2-n ac85gfoms heavy as pendulum B. What is the period of B?

  When the length of a simple pendulum is troo::s.h+ p wko7 -uwkp// kigyipled, the time for one complete vibration increases by a factor/:ho+p.yo : w/kk7oi- swup kg of

  What happens to a simple pendulum's frequency if both io66vfndkuc4n( gl8,go;pr5 jts length and mass are incre fvn6p6uj ocng k,rd4gl8;(5oased?

  Simple pendulum A swings back and forth at twice the fr p8ovhc 3qn;nr1,ad c*nmv 3p0equency of simple pendulum B. Which statement is correct?;n cnrqa30v8* p, dpnh1cv3om

  If you take a given pendulum to the Moon, where thhtdp,-t8(eod5y vd* de acceleration of gravity is less than on Earth, the resonant frequency of theo-8dthv y ( epd*td5,d pendulum will

  Curve A in Fig. 11-1 rebh*4q j/5,nmgmszn+ m presents

  Curve B in Fig. 11-1 repocj2uc,4b4o+kdn*q iresents

  Curve C in Fig. 11-1 iu2gn.pom2+n i,4j z0qix 0v arepresents

  For a forced vibration, the amplitude of vibration is s: * ua1zoqzgrk;b pi7tl:x 5.found to depend on the

  In a wave, the maximum usie* n9k rdc7d j,3,hdisplacement of points of the wave from equilibrium is called the wave'93nju skdi,e ch,* d7rs

  The distance between successive crests on a wavidyx1lt)u t-oli/hiq ; 27x0re is called the wave's

  The number of crests of a wave passing a point per unit time is called the wave'0).x epo/hj1*fmlcygpx*cyj fgol) m.1he /0s

  For a wave, the frequency times the wb ng*u e27n+, (x4.bonltoriyavelength is the wave's

  The frequency of a wave increases. What happens to the distance bi+acrz l*;c8: ahp. )1 mjyqwsso2-po etween successive c.)jp ao wo mczh-s2;1apis: r q*lc+y8rests if the speed remains constant?

  A wave moves on a string with wavelength l and frequency fktdrfmvd 5 3pwm :,2/l. A second wave on the same string has wavelength 2l and travels with the same velocm52dpfr /l,m t3wkdv :ity. What is the frequency of the second wave?

  Consider a traveling wave on a string of length L, mass M, and tension T. u,o, p0xq c0q.p*5 vzkz byg9e A standing wave is set up ,xq.zyzvbe o*k q, cp05g09up. Which of the following is true?

  A string of mass m and length L is under tensrk(v84k ntr3cpx34d8uw e 3ls ion 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, with no cs3w 4(tkcd3uv rrp8n3xkle 84hange in length?

  A string of mass m and length L is under tension T. The speed -t ub8s w71jlyat8j, uof 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, with no change 8b-1luj8y a7ustj ,wtin mass?

  A string of mass m and length L is under tension T. The spedpg6ey d /;u08 o mtbs4wfeae 36du(7hed of a wave in the hdu 8we3t/6ud6g4md7ye(feo p bsa; 0 string is 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 transverse wave. As an S wave4ih ( tu9ird-h travels through the Earth, the relative motion between the S wruhi-h9id 4t( ave and the particles is

  In seismology, the P wave is a longitudinal waww:/mt i1mf .ave. As a P wave travels through the Earth, the relative motion bemw /a:mwf.i1ttween the P wave and the particles is

  The intensity of a wave ii.( 0,u0ui 3znhfe tues

  A wave pulse traveling to the right along a tk, (mpw edxx4 4prp-c5g4vf)ihin cord reaches a discontinuity where the rope becomes thicker and heavier. Whax4kd5 v g pm,efr4xi)wp4pc -(t is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each other onvz jtd i8i7-nrgs4vk)x r b)),3kmaf- a string, one is traveling toward the right and the other toward the left. At the point that they occupy the same 8)s i3-xkvrgdtamjv) izrf)-b7 n,k4region of space at the same time

  Two wave pulses pass each other on a string. 5)d n)joe5d-6yiwu sm The one traveling toward the right has a positive amplitude, while the one traveling toward the left has an equal amplitude in the negative dir-uydewisjd6 ) 55nm)o ection. At the point that they occupy the same region of space at the same time

  Resonance in a system,eev 8*9xck(r/ -zvdyo such as a string fixed at both ends, occurs when

  If one doubles the tension in a violin strit ru 95i.fi jp/tsgf2mn,ld */ng, the fundamental frequency of that string will increase by a factor of mrp5ds/ni, lutj f9 /*it2.fg

  What is the spring constant of a spring that stretches t9.- xjsm 5aau2.00 cm when a mass of 0.600 kg is suspended sj m.9t ax-ua5from it?

  A mass is attached tottsec w qb1t5bw; :9 ;rh0s9ee a 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 position when it is oscillatinwq5 etseb ewrh ;9t0:b1;t9scg. What is the amplitude?

  A mass is attached to a spring of spring constant 60 N/k ,l*/vflycl zn2: g z7jly/c-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 z jczlc7-*/v,lf2l: nlgyk/y 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 sprins/3xcs kza9s 1g 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 positi39cakssz1 sx /on when it is oscillating. What is the frequency of oscillation?

  A mass on a spring undergoes SHM. It goes through 10 complete oscil)5gqlh c(7- fuexzif- lations in 5.0 s.zl-qu) hi( 5-ef gc7xf What is the period?

  A mass vibrates back and forth from the free end of an ideal sprj *mt*p 6xdx0sing of spring constant 20 xp*0t xsm6j *dN/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 yj8s,hld wl+v1un 8ii8ppz5k6 6t i4tto 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 thnlt8pp vi6ds,iu1wth8i j8y6zl45+ ke total energy of the system?

  A mass undergoes SHM with amplitude of 4 cm. The energy is 8.0 J at this-w d/x vj 7(b:pj ifxwcv v2wp1o/h/2y time. The mass is cut in half, and the system ijv (b-hdw:2/7 y2wwcpv/1pvoi j xx /fs again set in motion with amplitude 4.0 cm. What is the energy of the system now?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m along a horzj /x .s3lz;wuizontal, 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 amplitude of vibration?z/us.3 lwx;jz

  A 0.50-kg mass is atta6)7tb 18scig poa* nkohptc:m5jhr: 8g ki.,b ched 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 equilibrium position. At what location are the kinetic energy and the potential energy ato )*,pgbi:omsp 68n8gc 7ihb crk1 :k.t5hjthe same?

  A 2.0-kg mass is attached to the end of l-w nfpws*ta: 4-.k2k j sl8xca horizontal spring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of n -wsjt4lxlk2*8.pfs : - akcw0.10 m. What is the total mechanical energy of this system?

  A 2.0-kg mass is attached to the end of a horizontgt 0 rel(nhn 09kopn+7al spring of spring constant 50 N/m and set into simple harmonic motion with anp0n7kn(oh rl t+0eng9 amplitude of 0.10 m. What is the total mechanical energy of this system?

  A mass vibrates back and forth froep8tdv(cj: pf6s-u5g m the free end of an ideal spring of spring constant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kinetic enep p e8gd 6c(j:tvs5fu-rgy of this vibrating mass?

  The mass of a mass-and-spring system is displaiv8v0-kudqi9pl(f;ut.p /o tr*s6b obi r2c5ced 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 been8 plrf vb9kq/s.0o*irutu b(c-ov p25idi6t; displaced only 5.0 cm and then released?

  A 4.0-kg object is attached to a spring of spring constlwp3v9fo,h7p ant 10 N/m. The object is dif3w 9lv 7ph,opsplaced 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- b09keyqbl(a4:mz. poaskwt:jdy9 8 10 N/m. The object is displaced 9k e(.pzadbq:8atl y:y4 s ojk-mw0b9by
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 ofrn;z02nze t. eyyq+(l spring constant 18 N/m, displaced slightly from its equilibrium positio2q.+e(;lnyzr0tz enyn, and released. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequency of/mz 5uh*fpl)w 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What is the maximum velocity attlfp*m5uz)w/ h ained by the mass?

  Two masses, A and B, are attached to different usdx +i,t-hc 2springs. Mass A vibrates with amplitude of 8.0 cm at a frequency of 10 Hz and mass B vibrates s+udic 2x-ht, 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. Inc; f 6a-rfnt/x 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. C-r ;xat/ fnf6calculate the period of oscillation.

  A 0.30-kg mass is su,isao; 9 g3hxospended on 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 rest. Calculate t;ho9a 3,g ixoshe total energy of the system.

  A 0.30-kg mass is suspendu-ide:xfoh*+ rm .x-j ed on 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 rest. Write down its eqfoxrux.j*+d-h -im: euation of motion.

  An object in simple dww eib:eg(y,9;b(ntjb eas;v 2y( a:harmonic motion obeys the following position versus time equai;jbwyyv bteaew(:2 9d:g b; , a((nsetion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the followin1*)dy* h9vips1q waqvg position versus time equatiqs1hv*)9 w dyvaq1 p*ion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following position v97*oxu+yeg zkm1mt 3nersus time equa 1t x*7ouz 9e3n+mkmgytion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple:m7,ru 4tubpl harmonic motion accordt74bp lumur:,ing 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 20.0 Nufb *.korq8e8 /m oscillates on a horizontal, frictionless track. At t= 0, the mass is released from rest er8boukf 8q* .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 sw7 bch 6w2l )lf)l2pbawings in 8.0 s. (a) What are its frequency and perioab w )lc2phlb 67fl2)wd on Earth?

  A 3.00-kg pendulum is 28.84 m long. What is its peri a:iui4fg:k6yh5n sa( od on Earth?

  A pendulum has a period of 2.0 s on Earth. What is its t-ilngd .geq76i- u*f0, ccfylength?

  The pendulum of a grandfather clock is 1.0 m long. What is itha0e(ao uc0b/ rl( s)zs period on the Ear baro0lhue)0a z( cs/(th?

  The pendulum of a grandfather clock is 1.0 m long. 4hw y +zcq64teWhat is its period on the Moon where the acceleration due t4wy e4cqh 6t+zo gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25 ; bgp8j.hd16fzpz. zmkt vsqvl*;.u88z4u gw-kg spherical mass 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 resulted if a 0.50-kg masj w.gvg z8p.qvpubmh t;8 *1.8;zuzlkzd4s f6s (same diameter sphere) had been attached to the string instead?

A simple pendulum consisting of a 20-g mass has initial angular displacement hm ;a/ ww;0ac:;hvr spof 8.0e. It oscillates with a period of 3.0ramw / swhpv 0ah;c;:;0 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 givenx;g;w zhaeja-0y6q fq;*k8a c time. The frequency of the wave is 120 cq*ajyqg xk6a ; w8hz0;fa;- eHz. What is the amplitude?

  Figure 11-2 is a "snapshot" jbf g5-.op hve+ ):hpwof a wave at a given time. The frequency of the wave is 120 Hz. What is the wav: fv-+b5je)ow.hghpp elength?

  Figure 11-2 is a "snapshot" of a wave at a given tis/ nujp 5uyjd5 /hx*y:me. The frequency of the wave is 120 Hz. What is the wave d/s5:n ujjp * hy5/xyuspeed?

  What is the frequency of a wave which has a period of 6.0wq69 a 9mco5/lv zp)mc0 ms?

  What is the period of ak:9.kof5ilc h wave with a frequency of 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz and a waveleng 4ud1dc)ii+m/voml+ rth of 3.0 m?1u4rvi /dmi+do lmc+)

  What is the velocity of a wa*3ct rxz toy9fkz. w*q84c+4o mcv gu,ve that has a wavelength of 3.0 m and a frequency of 1c8 yv*9o uwkfczt3r+cg 44,omtq zx*. 2 Hz?

  What is the frequency of a 2.5 m wave traveling at 1400 m/sw4h2uxgrw(7j o(3w yn?

  A piano string of linear mass density 0.0050 kg/m is under a te/ .r,tb nd*m q6tft4oond++psnsion of 1350 N. Wh s4/rbdtnom*t nq.+f ,+o dtp6at is the wave speed?

  A string of linear density 6.0 g fy 6 j7k/eq4+4lkw vehy;)vaxr*kso;/m is under a tension of 180 N. What is the velocity of propagation of transverse waves along the w6ry7q e/*k)+4ekyfhso;4v jk; lvxa string?

A wave whose wavelength is 0.500 m is travelin*fgq6t:3sf s4jpgos ty ,/-vog down a 500 m long wire whose total mass 4-*tvs sytsgo/, q:6opfg3f jis
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 tra 4s8ukxb. yqg9nsverse wave on a 2.0-m long string fixed at bou ygks8xq.9b 4th ends is 200 m/s. Which one of the following is not a resonant frequency of this string?

  If a guitar string has a fundamentlwa kqwg zn c7tkbo(5 dag(*) vn2fm2h5;l.v+ al frequency of 500 Hz, which one of the following frequencies can set the stridk(nfb5vt (agwk+lvl5q27 g *mow.2 ah);z cnng into resonant vibration?

  A stretched string is observed to have four equal segments in a stjt nr e mhp1;6:nic56 5djqzk)8 8rafranding wave driven at a frequency of 480 Hz. What driving frequency will set up a standing wave with five eqq nrtpj686 r5 a:rhn;5f e mdik8j1)czual segments?

  A string, fixed at both ends, vibrates at a frequency of 12 Hz with a s79. s0lqmd3is k7rc -;a0pe1o9yri gdg, pidt tanding transverse wadcikdl3dipysm e r9g7tio q 00-9ga.s,1rp7; ve pattern containing 3 loops. What frequency is needed if the standing wave pattern is to contain 4 loops?

  A string of linear de*5ra*cdpik*m.4z)rwd (ltc cnsity 1.5 g/m is under a tension of 20 N. What should its length b)ddc zc * kt *rrm(*5cal.ip4we if its fundamental resonance frequency is 220 Hz?

  Find the first three t8hkxozrd*7,c d; .37abv g ycharmonics of a string of linear mass density 2.00 g/m and length 0.600 m when it is sudb7x3c tg,y7ov k8z cdah.;*rbjected to tension of 50.0 N.

A string of length 2.5 m is fixed at both esrb 1y- uv ge5./t3 mgnknc-*dnds. When the string vibrates at a frequency of 85 Hz, a standing wave with five loops is formds1vmbc-/r 3g ung 5et.-*nyked.
(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.