The time for one cycle.l 9j6:c (va*bktea/a0v- wha u fuv8i of a periodic process is called the

  For a periodic process, the number of cycles per unit timei 7z(4bzi 7ztn8hqp2 v is called the

  For vibrational motion, the maximum disie3* 2 gw1si0 (qd ono3mk*dlsplacement from the equilibrium point is called the s3 smi*wkeo n2dlo0iq* d(g31

  A mass on a spring undergoes SHM. When the mass is 32htdwxb/u ehawx 4( dbhi)-r0 2-u/b ootvw( at its maximum displacement from equilibrium, its inst (hdbexo-40xw/uw3/htob-bhw 2ivt 2)dau(r antaneous velocity

  A mass on a spring undergoes SHM. When the mass passes through the equilibriu lubh)6uu t(py+unk 72m positionkp uu(u)ut 2h ln7yb+6, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass is at maximum2gyv1d2 ypcga wz p0gb5y84t( displacement from equilibrium, its insb0tpcd g g(p4gy82w5v azyy2 1tantaneous acceleration

  A mass is attached to a vertical spring and bobs up and down between points Alla0ed: :tx )6q:v1htv) v2 ji;fwycz))tixi and B. Where is the mass located when its kinetic energy is a minimum? v xx v):ttcdjz:y1; t6li)02efai)lw: q hv)i

  A mass is attached to a vertical spring and bobs up and down between cc 49. ix:hoftpoints A and B. Where is the mass located when its kinetic energy is atx: 4cf c.ohi9 maximum?

  A mass is attached to a verti9g0o -vrh * tml(2r3s -8rzb+czzprxqcal spring and bobs up and down between points A and B. Where is the mass located when its potential energy is a cx* zo0zm+l9 rzrq3shv- (t2b- prg8rminimum?

  A mass is attached to a vertical sk4 l1+:-zohfhbb tx msy5r9i +pring and bobs up and down between points A and B. Where is the mass located when its potential eners1f:h4+z mokrx lb +5-biht9ygy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-spring system produces w4cnttwwcb 0:4 hat effect on the system's mechanical ennb c4twc4t 0:wergy?

  Doubling only the mass of a vibrating mass-and-spring system produces what evzp(vcywav/+k og 5)0ffect on the system's acgo kvv5w +)yv0pz/(mechanical energy?

  Doubling only the spring con0 l,a 6bci.d ykf8ed9ostant of a vibrating mass-and-spring system produces what effect on the system's mechaof 8 6ildkyedc,b0.a9nical energy?

  A mass oscillates on the syom..e2gf+p ad5:xx end of a spring, both on Earth and on the Moon. Where is the period the greatest.m e+sa2yxg.p:of xd 5?

  Increasing the spring constant k of a mass-and-spring system causes what kind xew /sis7k d2qxt);8e hy3fn 9of change in the resonah)iyt 2kfsn;d3e x/es7q 8x9wnt frequency of the system? (Assume no change in the system's mass m.)

  Increasing the mass M of ;in no(p) o-l 8*pgo;c ;tijika mass-and-spring system causes what kind of change in the resonant frequency of the system? *o g tpk(nil ioco;pn;-;8ij)(Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring systzue*cvbit0 ) /c;o(vgem causes what kind of change in the resonant frequency of the system? (Assume no other(o/t bc*evu z)i0 gc;v 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 a fvktq5r (-q50qokgo;4 u3hbnttached to a weightless string of length L. For this system, when undergoing small oscillation ;of5 4( kvqg5onuh tr-qq30bks

  When the mass of a simple pendulum is btn1-.w87g-c v+ pihu5yw1 uncnb+hq tripled, the time required for one complete vibrau+q-u11vc-bhwn ib t whg 7 yn5c.8+nption

  Both pendulum A and B are 3.0 m long. The period of A is T. Pene sivyy 58u29adulum A is twice as heavy as pendulum Bia8 vey5 29yus. What is the period of B?

  When the length of a simple pendulum is tripled, the time for one complete u ;t,jd+rqbx(s;g/ axu5pp*i vibration increases by a;(+g;j up r5qd bx tixua*p,s/ factor of

  What happens to a simple pendulum's frequency if both its lengtj)+yj bx ,i/ydh and mass are increas,byi/x )dj yj+ed?

  Simple pendulum A swings back and nyg0 nb52nx4y .bayz-forth at twice the frequency of simple pendulum B.yzbgy45bn .yax n2-0 n Which statement is correct?

  If you take a given pendulum to the Moon, where the acce g8ni)*,yye8 -awnqcm73 wuxdleration of gravity is less than on Earth, theg- w*wcinu)y7y3aq8 e n8d, xm resonant frequency of the pendulum will

  Curve A in Fig. 11-1 representseh x4y18gvob)

  Curve B in Fig. 11-1 representslfe)/ofm 56:1o:slz.bbt tfl

  Curve C in Fig. 11-1 repr4u b0oeta ;q6)c; cntvesents

  For a forced vibration, the amplitude of vibratiod:w (l-m 6c,s ohx23nhirboq.n is found to depend on the

  In a wave, the maximum displacement of points of the wave from-qp v21lx6vns+u z 2bm equilibrium is called the wavepmxqzv2vsl- n6ub 1+2's

  The distance between successive crests on a wave is called th290, h w i)4de:rzse.fa pyvrze wave's

  The number of crests of a wave passing a point per unit time is called the ws9tmbbpdll ,grk7w8x6 zj0 jeu::): k ru0km(ave'spm087b:,gb6u:d trke z smx )9ukl0r(:kjwjl

  For a wave, the frequency times the wavelength is thehncz)ap tv0mwph-1y / ; 7wlo8 s3ln4a wave's

  The frequency of a wave increases. Whatlon s kx85 e2og bkk)/b2cj-r9 happens to the distance between successive crest2knbc 5sg x/ool)k298jbrke- s if the speed remains constant?

  A wave moves on a string with wavelength l and frequency f. A second wave onnjy3iz2 )k6 fon3 t8ve the same string vnz6yi jnf2okt3)3e8 has wavelength 2l and travels with the same velocity. What is the frequency of the second wave?

  Consider a traveling wave on a string of length L, mass M, and sx8hjav5v9z2im) y o1 tension T. A standing wave is set up. Which of the followma825h1vzj iyxo9 sv)ing is true?

  A string of mass m and length L is und7ar+* mibbxz6ylz* 9xk.hr-rqou )5 xer tension T. The speed of a wave in the string is v. What will b5u7+rzkmx9ya.rh*6 b o)-xi rzxb*lqe 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 ki9: je jb u 4hv5(4d*dm oo6yq2fnwv2T. The speed of a wave in the string is v. What will be the speed of a wave in the string if t42:by e(d o i9 fvqh5wvj 24oknjd6u*mhe length is increased to 2L, with no change in mass?

  A string of mass m and length L is under tension T. Texrzeil:r06qqt5- s1z.b x 4jhe speed of a wave in the string is v. What will be the speed of a wave in the strinzzxtei. ls q 1x0e:6bqr45-j rg if the tension is increased to 2T?

  In seismology, the S wave is a ts4 yb)btlks-:t8q-p g ransverse wave. As an S wave travels through the Earth, the relative motion between the -q8:sy b4l tgtb )k-psS wave and the particles is

  In seismology, the P wave is a longitudinal wave. As a P wave trave823lzskb (ohqls through the Earth, the relative motion beh3(q8o slb2k ztween the P wave and the particles is

  The intensity of a waqphyp45bj yxt(s;.q ;ve is

  A wave pulse traveling to the right along a thin cord reaches a discontis2kqhq 2+di rr- 92:kvio 5ykpnuity where the rope becomes rqkoir9 pk 22+q: di k2s5hy-vthicker and heavier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass t0mgyvd1hp00 each other on a string, one is traveling toward the right and the other toward the lef 0y0gm0phd1vt t. At the point that they occupy the same region of space at the same time

  Two wave pulses pass each bgu5 (jbip+7ky0 9.hgoo .ahf other on a string. The one traveling toward the right has a positive. g j.b0i abpg9kf(5hoy+huo7 amplitude, while 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 string fixed at both ends, o(i*v:hfdb, el*o qv /dccurs when

  If one doubles the tension in a violin string, the fu 5ac2o (o4b3g,bh s5 yrbc.72x jjuleondamental frequency of that string will incro57 4,bysoe2j. 5bc 3oghcurl(ajx2 bease by a factor of

  What is the spring constant of a spring that2s6kur+ qco5qje2fhub )i. s3 stretches 2.00 cm when a mass of 0.600 kg i uio)sk 2shq.5qbfc 6u+ej2 r3s suspended from it?

  A mass is attached to a sphjr ,mapx;1x9 ring 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 th,rax1j xm;hp9 e 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 c z0x ffnk.1g2cdi.;bzonstant 60 N/m along a horizontal, frictionless surface. The spring is in fczg2x kb.z01idn;.fitially 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 of spring cnr+qc dlvb aw-af6 +sry.+57c onstant 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 is the frequency of oscillat.+5r7ycfaw+ arsdc- 6bl nv+qion?

  A mass on a spring undergoes SHM. It goes through 10 complete osc1 xe/6,e u qorb0lkby9illations in 5.0 s. Whb,er6k1q /y x0e9blu oat is the period?

  A mass vibrates back and forth from the free end of an ideal spring of sb;m wwjaarw ll7 f8k3)xnm -g)ld/9 7e,xfw g*pring 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 equie ja w9n wl/7-gd* 3)frbk;a mwl7x g8,)mlxfwlibrium position?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m along a horyl vp:o6mznmw.)q/l +u 3 m(o,r; ravoizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/syr;zo:.3vlmp qu( r+/ wova ml)om6,n at the equilibrium position. What is the total energy of the system?

  A mass undergoes SHM with amplitude of 4 d6fji*:f (gticm. The energy is 8.0 J at this time. The mass is cut in half, and the system is again set in motion wd(*ji6 gtff :iith 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 Nedzfur p x4i0o8 ;(s)(rijf4k /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 vibrat8rsx j44(0;)fzp ieir fduko (ion?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m along a es3+l 5u.y 0c:d8p buux om:bqhorizontal, 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 x:oeb u uqd:pm580ub+csy.l3the potential energy the same?

  A 2.0-kg mass is attached to the end of a horizontal t8 g bi3k +s/9v/mtnebspring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is bbs /t9+8 gvitn3/kemthe total mechanical energy of this system?

  A 2.0-kg mass is attached pq q,cw13o b:nto the end of a horizontal spring of spring constant 50 N/m and set into simple harmonic moti,1oc n3bqqpw:on with an amplitude of 0.10 m. What is the total mechanical energy of this system?

  A mass vibrates back and forth from tqq6qcxih mwk+7tf( 2 7he 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 energy of this vib6 qckif+2qwtx7 hq7( mrating mass?

  The mass of a mass-and-spring system is dmm/j 71dgi4vpr ao a ;v(p2jpdfj(:m7isplaced 10 cm from its equilibrium position and released. A frequency of 4.0 Hz is observed. What frequency would be observed if the mass hadijfg1/mmjapjovap(dp7v 7;(d4 mr 2 : been displaced only 5.0 cm and then released?

  A 4.0-kg object is attached 2a/ef)ps6, w3ao;j6x-eu y (vab:ew1qebqxato a spring of spring constant 10 N/m. The object is da1xuow(,p 2 xje; -/y6:eqba)6wes aqeb3a vf 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 of spring constant 10 N/m. The object ps) ;3 *ixipvais displxv si;)a3ppi *aced 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, displa3 cdxj4(5dl pqced slightly from its equilibrium position, and5lx qcdp(j3d4 released. What is the frequency of its vibration?

  A mass is attached to a spring. It oscili1hh9le yjvd5/gj/ -2bx uhc0 lates at a frequency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What is the maximum velocit-ih0/hl b2jvxj/ 19hcu eydg5y attained by the mass?

  Two masses, A and B, are attached to different springs. Masp v-5-(hmxq kix2,jv ms A vibrates with amplitude of 8.0 cm at a frequency of 10 Hz and mass B vibrakm5v- pqh-i( x,2xjvmtes 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 equilibriumqpjuk .befbp42 hs2sza. 0mx56 8de5r 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 th bep5p .u8bs s f0k22zj eqr5dhmxa64.e period of oscillation.

  A 0.30-kg mass is sub/(o uzn9 3/sme zt4rbspended on a spring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1z t/re/muo93 z4 nbs(b.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 eqw4u j wt-kt/(quilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance ofqwwt- u(4k tj/ 1.0 cm down and released from rest. Write down its equation of motion.

  An object in simple harmoni1;eojljsv,- v::e mh bc motion obeys the following position versus time equasm ;oej l:h:jv,b1ve- tion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys sotfl0c-t+sm + o.6nhka2xq8 the following position versus time equ+-fm+6qn. l0as 8coh ts2koxtation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the followil: k /awx*wzfymtdm;c0 x o3yez3h 0*2ng position versus time equatio tz2 03c0owfwdm yl x*kam3*x: ez;yh/n:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple h)p y(oskfoz-)g0x 0/t jhz7cm armonic motion according t tos7jy0kzgh x- m pof)/0z(c)o 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.cucmfb-,3zb5f0fvz/ a go , /s0 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 stretcom/a g, -v5,u/bfz0 ff c3csbzhed 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 p ,w97svtr/vvv 3:hog feriod on Earthv3tsovgh ,rwv 7:fv/9 ?

  A 3.00-kg pendulum is 28.84 m long. 2rzs5(gjkx4h832jcjv t*z b n What is its period on Earth?

  A pendulum has a period of 2.m-t px ;hsx4a90 s on Earth. What is its length?

  The pendulum of a grandfather t mpm0 57jnz-aclock is 1.0 m long. What is its period on the Eart 0ammjt-nz7p5 h?

  The pendulum of a grandfather clock is 1.0 m longv)y9o7+ m*k ad(kvqpo . What is its period on the Moon where the acceleration dueykokm7(p v*)9 qo+va d to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25fn i66pr dp.y3glt(1u-kg spherical mass attached to a massless string. When the mass is displaced slightly from its equilibrium position and released, the pendulum swings b( 6 d.i3u y1n6lppfgrtack 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 consisting of a 20-g mass h+q2p,v*igno0v0 pm y(;uad8bv tkp7qchs.1x as initial angular displacement of 8.0e. It osccap ,sy72 ix1vm. q tp8h+p ond0u0*v qv;k(bgillates 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 at a given time. The frequency 9 f+jf q 52v2d9hyxbihof the wave is 120 Hz. Whatd x ihqy295vf2 f9+jbh is the amplitude?

  Figure 11-2 is a "snapshot" of ajqsia uo b52tf)nw*86 wave at a given time. The frequency of the wave is 120 Hz. joa5f 2n*8 uibs)q 6wtWhat is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given time. Th, .rpky ;rycu4;g kkg5e frequency of the wave is 120 Hz. What is the wave speedu.;rr kcgg pkk4y ,5y;?

  What is the frequency of a wave which has a period w-gw) qe lhod2*1ypfqv8ixw v 6r 92+zof 6.00 ms?

  What is the period of a wave with a fpj+vf+6f y5sg requency of 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz and a wavelgw.* :;ii8+js yrzluiength of 3.0 ysiw;i .u irl z:j*8+gm?

  What is the velocity of a wave that has a w)abgvqz,*m -w d8/ nnnavelength of 3.0 m and a frequency of* 8- dnvq),zgnnw/ mab 12 Hz?

  What is the frequency of a 2.vmi j7 x05/wos5 m wave traveling at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is under a tension of 1350 qd2*kq ca8 )gs8uua5zN. What is the wave a 8auqz*s2ck8) qug d5speed?

  A string of linear density 6.0 g/m is under a tension of 180 N. What id c/x ui(k6u.rp9 ml,ts the velocity of propagation 9/ikcu,dmxr6.pu t(l of transverse waves along the string?

A wave whose wavelength is 8*jhb fcclmtx;/ :2ol0.500 m is traveling down a 500 m long wire whose total mas*l8b2:cljc /f otxhm;s 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 y8w9 gy:wbp. ln.b--wlp5jwl 2.0-m long string fixed at both ends is 200 m/s. Which one of the following is not a r bw 5l.p-w9 pwj:8 bl-wgyy.nlesonant frequency of this string?

  If a guitar string has a fundamental frequency of epbd 0bw w.-0a500 Hz, which one of the following frequencies can set the striw.web a00b-pd ng into resonant vibration?

  A stretched string is observed to have four equal segments in a tkr,8/ )nz8yk+nvoz+ch o*m u :vjnm+standing wave dr hmtkor*cjn8 ov 8) z+/vku:n+z+y mn,iven at a frequency of 480 Hz. What driving frequency will set up a standing wave with five equal segments?

  A string, fixed at both ends, vibrates at a frequency of 12 Hz with a standing+p -mf: 0qoxs vo07fhs transverse wave pattern containing 3 loops:f 7sx +0f-mo oqhvs0p. 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 o2;69vlu g mz-xbcr-:* rxno pxf 20 N. What should its length be iz2*-6x ru l-m9 orxg nbv;:xpcf its fundamental resonance frequency is 220 Hz?

  Find the first three harmonics of a string of livr;;m 16)s wc:jhrsa bnpxp4)near mass density 2.00 g/m and length 0.600 m when it is subjected to tension ofvcr );n4; )1 hraswppsjb6mx: 50.0 N.

A string of length 2.5 m is fixed at both ends. When the string v58ptm u9s0vyu ibrates at a frequency of 85 Hz, a standing wave with five loops is fsuu8yt 50 9pmvormed.
(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.