The time for one cycle of a periodic process is called the/1a dv wyh2.v*uf )dlu

  For a periodic process, the number of c 3mh4j7zda+teycles per unit time is called the

  For vibrational motion, the maximum displacement from the ewvhj--;n ;gran8mz y;quilibrium point is call vr jn-zmg;na-wh;;y8ed the

  A mass on a spring undergoes SHM. When the mass is at its maximum displacemdc6 7y+gfkog;6(qmc+- he vwcent fre 7 gyv6ok wf;d-gm 6++qhccc(om equilibrium, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass passes through the ntg+xq4 5vla e m(4x7bequilibrium position, l vxt7a5 4+(e gm4xqnbits instantaneous velocity

  A mass on a spring undergoes SHM. When the mass is at maximum displacement frvviy f 1psn9ax:9hwk5u0y8( jom equilibrium, its instantaneous acceleration5kxf19(8sjpn ia0 y y9:wvuhv

  A mass is attached to a vertical spring and bobszoet;97ixw+2 ,uh amx up and down between points A and B. Where is the mass located when its ki7,hz+; o9ixmeax 2u wtnetic energy is a minimum?

  A mass is attached to a vertical sb+xggptw5ia);a31w x pring and bobs up and down between points A and B. Where is the mass located when its kinetic1gwpx+ba ia3) x;gw 5t energy is a maximum?

  A mass is attached to a vertical spring and bobs up and down between poi-mysw )skbpc07d fy., nts A and B. Where is the mass located when its potential energy is a minimu 70sw my-kybf) cpd.,sm?

  A mass is attached to a w1p*0tog09h r4k7 dm.uvpar uvertical spring and bobs up and down between points A and B. Where is the mass located when its potential energy is a maxm.4 wtr 9gdk *auuoh70p1p vr0imum?

  Doubling only the amplitude of a vibratin3a8,q8q q itn28 b(iopvo5i tgg mass-and-spring system produces what effect on the system's mechanical energy t2v ( ,5qg inqiptbo8o83a8iq?

  Doubling only the mass o.hyu wr8gkw9 +l69mtri rjm:+f a vibrating mass-and-spring system produces what effect on the system's mechanical energy? r ykrrw9m8jhi+. wm9+glu: t6

  Doubling only the spring constant ofwh +9x+7(kbnf.e a unc* jd8 8ufke7zd a vibrating mass-and-spring system produces what effect on the system's mechd7+nu+ed zk a wu9n*xc 8(.7behkff j8anical energy?

  A mass oscillates on the end of a spring, yzg*/:6onn,j h w7xg )kw0a wvboth on Earth and on the Moon. Where is the period tha/g)ng*jn 6 oxw7w0h:v ,zywk e greatest?

  Increasing the spring constant k tef4jg j;1m qlo(8euxi, a)*x of a mass-and-spring system causes what kind of change in the resonant frequenc) o1amq4lxet xij;*, 8f( jguey of the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system causes what01:i:ly3 (aq vlvmph w kind of change in the resonant frequency of the system? (Assume no change in the system's spring cim3:p0h(:y vwav q1l lonstant k.)

  Increasing the amplitude of a*( -bf0e u+ (vnh0lkz.qdamy i mass-and-spring system causes what kind of change in the resonant frequency of the system? (Assume no other changes in the system.)yh(*0 + m .vlnfkuzd -(0qbiea

  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 7kb5/is 8fs2/n mhejb h9+iecto a weightless string of length L. For this system, wks9i/ehi8m bns+ c fjb e72h5/hen undergoing small oscillations

  When the mass of a simple pendulum is trip r4vrfn.vs++f led, the time required for one complete vibrati 4 vrsf+fr.vn+on

  Both pendulum A and B are 3.0 m long. The peri+dqbh:b7puww j :o/ p6od of A is T. Pendulum A is twice as heavy asjd+uo wp:w: bhpq/b7 6 pendulum B. What is the period of B?

  When the length of a simple pendulum is tripled, the time for one complete vinzknf;(/y(nis .8lwl( nkeq(o ihm/:k pu -3d bration increases by a fakl /np w-(izkh f8.;d( m/kn:nqos(uy3i nle(ctor of

  What happens to a simple pendulum's frequency iv jrupxj1615* *xuzrtf both its length and mass are inc6x rz1x5j jrtu1p* *vureased?

  Simple pendulum A swings back and forth at twice the frequency of sie0+bxata4pu- mple pendulu4a+0 xuba- eptm B. Which statement is correct?

  If you take a given pendulum to the Moon, where the acce0(efyva6.d h eh.e 3vwleration of gravity is less than on Earth, the resonant frequency ofy e(e 3d6 evh0v.h.wfa the pendulum will

  Curve A in Fig. 11-1 reprev --nngz(lh5 rsents

  Curve B in Fig. 11-1)syh1 i1y8dc3 5jq a8aallbk 2 represents

  Curve C in Fig. 11-1 repro-tsbr cw3djjw.d/:he3 45 ksesents

  For a forced vibration, the amplitude of vibration is found to depend on fp/9+bkbzak)3z f r;bthe

  In a wave, the maximum displacement of points of the wa z6q rk:s; p8s b,yi;z7ymv0eave from equilibrium is ca:r v ;qe,szz ympa;7iys8 k60blled the wave's

  The distance between successive crest0wj*.aspa nf/:v tu(-wvgl e 3s on a wave is called the wave's

  The number of crests of a wave passing a point per unit time isi9c8 eri pcd1 84)c3a2mows md called the wave'smcm12c4w9di8ps 8ra d 3oce)i

  For a wave, the frequenc0ded6rihi)wx58 o 7z yy times the wavelength is the wave's

  The frequency of a wave increases. What happens t jz)- +q5+ f4p6jqbud-jn,sq ffs d7mbo the distance between successive crest64 +fs+b qj sjpz ),bdd7 mq5-qjfu-nfs if the speed remains constant?

  A wave moves on a string with wavelf1i) k;gels+tu k2oox n5g,0z(1o vplength l and frequency f. A second wave on the same string has wavelength 2l and travels with the same velocity. What is th n;(0ol1ux 2fzs kl1oviogp 5eg+k),te frequency of the second wave?

  Consider a traveling wav- h mg05h*p,ln.caugy e on a string of length L, mass M, and tension T. A standing wave is set up. Which of the following is true?mn-c0,5g a.plhuh g*y

  A string of mass m and length L cd06rir x/ :erzotv+;is under tension T. The speed of a wave in the string is octr0ex:+r ;r6/ i vzdv. What 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 length L is under tension T. d/kcp) tc f*7jz9djkvo7 hi0 +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 i9 kkj)odzc/7h jdicvft+ *p07ncreased to 2L, with no change in mass?

  A string of mass m and length L is under tension T. The speed of a wave 3:m-wg6wmoch in the string is v. What will be the speed of a wave iohw :w c3-mm6gn the string if the tension is increased to 2T?

  In seismology, the S wave is a transverse wave. As an S wave travels througf0ji6e2 e;xzvh the Earth, the relative motion between the S wave and t2 0x ejz;f6veihe particles is

  In seismology, the P wave is a longitudinal wave. As a p :pj /2:1pqf.qss +y9uykwbb P wave travels through the + sfpqby.u2 :k9b yp1qs:w/jpEarth, the relative motion between the P wave and the particles is

  The intensity of a wave isk4wa4 64srko wo.ij5 a

  A wave pulse traveling to ther3p *wg 8xxuco:1k)gf right along a thin cord reaches a discontinuity where the rope fkxorpxc 3w:ug8*)g 1becomes thicker and heavier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal t 4:b8ia 0,gmm*5jwbko. iw kzpositive amplitudes pass each other on a string, one is traveling toward the right and the other toward tba8, gmwot:bkj*z wki .i45 0mhe left. At the point that they occupy the same region of space at the same time

  Two wave pulses pass each vkvp /t-6cdm 6other on a string. The one traveling toward the right has a positive amplitude, whiv-dvm6kctp / 6le the one traveling toward 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 stripw2:4 lgw da0ilnvgi:.v5;w mng fixed at both ends, occurs when

  If one doubles the tension in a violin string, t+7d mn.w5ocu the fundamental frequency of that string wil. cum5 o+ndtw7l increase by a factor of

  What is the spring constant of a spring that stretf+.pjg :w;zppb7abs5 yzs*(h ches 2.00 cm when a mass of 0.600 kj*sp; +zwg. 7pasf pb(bhzy5:g is suspended from it?

  A mass is attached to a spring of spring constant 60 N i7svjx w-; *lcz*ccq:/m along a horizontal, frictionless surface. The spring is initially stretched by a force of7licq* xs*w:cc-z; vj 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 xfwzy+u- 4isneb fa8;i1x+rlbr* k;- 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 is the4fe wrk 8+n-fbsur+1x;lx*-zby i ;ia period of oscillation?

  A mass is attached to a spring of spring constantfpsbeb-e (+e7 29p/vv jr: lcx 60 N/m along a horizontal, frictionless surface. The spring is initially stretched by a force of 5.0 N on the mass and jbbs lx +2/er ee pc:-7fvp9(vlet 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 throughd cp 60v*z8ecmi9l(t 2qi1y mw 10 complete oscillations in 5.0 s. What is the q89ii02(16zpyl mdetcw mvc*period?

  A mass vibrates back and forth from the fre /rv2y ,qam-kze end of an ideal spring of spring constant 20 N/m with an amp-2km z qr,vya/litude 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 a spring of spring constant 20 N/m along u a2/ r;l*zddwe c6g-ga horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s at the equilibrium positrza6g;d g*-dec2luw / ion. What is the total energy of the system?

  A mass undergoes SHM with amplitude of 4 cm. The energy is 8.0 J at this tim4pjnuu25 whl9d/1qu )jj* xkie. The mass is cut in half, and the system is again set in motion with amplitude 4.0 cm. What is the energy of9uj2w*d hkuj5 piu/j4)xnq 1l the system now?

  A 0.50-kg mass is attached to a spring of spld7bj:xc1:f5g 3 arkt3va g8cring 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 amplitude of vrtacg8cjbf5vxl3 d: ak 173g:ibration?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/abruj*+nr +mv 6j9i5 jm along a horizontal, frictionless surface. The objectmjnja+ jir9+*65uvb r 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 attache60 9xymyqrmh(db -a)dpyrx4 8d to the end of a horizontal spring of spring constant 50 N/m and set into simple harmonic motion with qr60-adrb yy)p 4 9mdy8h(mxxan amplitude of 0.10 m. What is the total mechanical energy of this system?

  A 2.0-kg mass is attached to the end ofbxs8yi m4 1jtl,bd 7 tpgv3u,8 a horizontal spring of spring constant 50 N/m and1g8vtu 3j di,bpty b,7mx4s8l set into 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 an ideal spring i3 *0 *zvms5ui) sgihe0 p)rjgof spring constant 20.0 N/m with an amplitudhvezi35 00pugj) iss m** gri)e of 0.250 m. What is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring system is cd a.,on49brb git)v/ 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 displaced only 5.0 cm and ttgbrc.iv/49 d) b, noahen released?

  A 4.0-kg object is attached to a spring of spring consth; 0zn;nez7l eant 10 N/m. The object is d7nelenz; hz0;isplaced 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 o7ri:vquer1iq* - dsxxi;(u t ;f spring constant 10 N/m. The object is displaced i;si u u-x :x1eviqr(7*dtrq;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 sprie1 q d;f4pzxf c*,vik7ng constant 18 N/m, displaced slightly from its equilib;p,x41i ffz eckd*vq7rium position, and released. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a ;kg8xsqs:v3 3shh lc7ctvm )k7/cig (uhi(l,frequency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What is the maximum (s )h/gu:vgm xhkist;s,civkc 3(3hl7 c78qlvelocity attained by the mass?

  Two masses, A and B, are attached to different springs. Mass A vibrattp;c8 ylc ry9td/i+d;2 l. syces with amplitude of 8.0 cm at a frequency of 10 Hz and mass B vibrateits.2ypclly8 +drd9;ccy ; t /s 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. In m- /0bu7nxi4qh howh;* o/f0 wy4 wcvqequilibrium 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 c fwhyhm qovi;n0uw o 0 -74/wxh/*b4qthe period of oscillation.

  A 0.30-kg mass is suspend* zthx.t ipmeqlur5y,zl2)79 ed on a spring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additionatqlmizp5rh yu)9*2le 7 zx.,t l 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 equilv vh1g -p4 do6fdcrq9s7:s+m / k;veoxibrium the mass stretches the spring 2.0pkhvsro/m1vdxf76 4sc:v e9-do qg+ ; cm downward. The mass is then pulled 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 posuxvkj+dt 5 :-7qya7bdition versus time equatiotj+5u :v7 kbyddxq- 7an:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the folodn2- ;2e4 h1l n k2qyfguth.klowing position versus time equation:o.qtn hd22e1ylu; gkk4f2hn-
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following position vers d7)ifo.- pjslus time equati-fj). so 7ipdlon:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end ofnx b c mow)q00l/1r:x1b yulp89dls1 f a spring executes simple harmonic motion according to the equaticx1nl w)smp ru1 b8oqxf0l1y dl:b0/9on $y = 0.50 \; \sin (18\pi \times t)$ 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 N/m oscillqv:;r3c6 2 hvruh(wl wm/;(3zjx lvc wates on a horizontal, frictionless track. At t= 0, the mass is released from r 6lwrx;h2 3:w (/lj(mh3u vzcq; wvvcrest 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 com/6q (vgoci mxtjol**t 5/3qejplete swings in 8.0 s. (a) What are its frequency and period ono mxgle/vt jj*q( tc5*/o63iq Earth?

  A 3.00-kg pendulum is 28.84 m long. What i/ zma3gs 6ktmpok) 88cs its period on Earth?

  A pendulum has a period of 2.0 s on Earth. What is ritydgu1-/tr j)r80nits length?

  The pendulum of a grandfather clock is 1.0 m long. What is its perior ehck1 znck2q-lh /l-*r*r:nd on the Ealkrqrcr/ch*- hlkn2n e *-z1 :rth?

  The pendulum of a grandfather clock is 1.0 m long. 7 )qmhu*h 2ckb What is its period on the Moon whecq2hk*7m h )bure the acceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg u(g (goj 6a(fespherical 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-(e(u o6fjg (agkg mass (same diameter sphere) had been attached to the string instead?

A simple pendulum consisting of a 20-g mas/6-j lutwk* xks has initial angular displacement of 8.0e. It oscillates with a 6x-l* ktuwkj/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 "sna 2 8 wln ihroj,0vdgdo3pm)(zq4l(z9qpshot" of a wave at a given time. The frequency of the wave is 120 Hz. What is t3l(qr0nd, qg vzohw4d2pz9mlio j)( 8he amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency 5m b s1b3rh-0az : rxj-4qc)hps b9dweof the wave is 120 Hz. What is t -4z se3 a:50 r9mhjdsb1br-) pwhxcqbhe wavelength?

  Figure 11-2 is a "snapshot" of a wave3b fkys i*up qbzo;7r;4 1e7ik at a given time. The frequency of the wave is 120 Hz. Wb7;1sp4 ;k ifuozb *3ker 7qiyhat is the wave speed?

  What is the frequency of a wave which has a period of 6.0l.ttl+4 px)gq 4;t k +aghc:hr0 ms?

  What is the period of a wave with a frequencymipj+is: k,b9 of 1500 Hz?

  What is the wave speed if1h1a7 wx t2owj22gnzu a wave has a frequency of 12 Hz and a wavelength of 3.u2a22owh xztn 1j 1gw70 m?

  What is the velocity of a wave that has 2d7pmch/ f 9zu da oavetb7f9 y.+t+;ka wavelength of 3.0 m and a frequency ofb.m +ed 9a7y c7;2p9 fvz+fdaohk/tut 12 Hz?

  What is the frequency of a 2.5 m wave traveling at 1400 m/s?8t;nk qklj /e9

  A piano string of linear mass density 0.00vl:/1que4 cyn50 kg/m is under a tension of 1350 N. What is the waveu1/ 4nvyl:c qe speed?

  A string of linear density 6eh uh 2t-ya+b r)l83 18sjsfsr.0 g/m is under a tension of 180 N. What is the velocity of prop b-s rshjhtf r83+21sea)8ulyagation of transverse waves along the string?

A wave whose wavelength is 0.500 m is traveling down a0pb8-b 2ersh 5 gkjlxyqu puic(7w7 2) 500 m long wire whose total (rupghwxj) -52kleuq8 7c7b0ys2 b ip 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 lon*6zyzwmo ip ,o3utv0*g string fixed at both ends is 200 m/s. Which one of the foll*yp 3*v6 zu 0iwomo,ztowing is not a resonant frequency of this string?

  If a guitar string has a fundamental frequency of 500 Hz, which one of theteud2d(lk/ p 6 follod6klpu2/et d( wing frequencies can set the string into resonant vibration?

  A stretched string is observed to zy:e,5gqhfp 6fr7d:o have 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 segmer 5dgf6,z:7yhq:f e ponts?

  A string, fixed at both ends, vibrates at a frequency of 12 Hz with a standinl qvqf38sd zu5 )l. tlg)3am+rg transverse wave pattern containing 3 loops. What frequency lqdulag) v.f)5 q3z8 3tmrl +sis needed if the standing wave pattern is to contain 4 loops?

  A string of linear d :gpmn/k);axd ensity 1.5 g/m is under a tension of 20 N. What should its length be if ik ;:n/admpg x)ts fundamental resonance frequency is 220 Hz?

  Find the first three harmonics of a string of linear 9heuy-cc o5yp q3li iozo92,9 mass density 2.00 g/m and length 0.600 m when it -ziql ocey93cho p5,9io2 yu9 is subjected to tension of 50.0 N.

A string of length 2.5 m yu2y l58vhe ),q6jbagis fixed at both ends. When the string vibrates at a frej lh) ,uv5eg8a6 2qybyquency 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.