The time for one cycle of a periodd t8tk)m)dzg/ ic process is called the

  For a periodic process, the numbez 2/f,c.kfbgk x b)(qvit,z+ xr of cycles per unit time is called the

  For vibrational motion, the maximum displacement from the equilibrium point ise ux01v+cw :, eqxfvd3 called th31cuwx d:x0veqfve,+ e

  A mass on a spring undergoes SHM. When the mass is at its mioce73i d k2+v3+ehvbp 9j7d5k0 uvbj aximum displacement fb+jhe3v9 70pvd cbi3 eovuk2+d ki75jrom equilibrium, its instantaneous velocity

  A mass on a spring undergoes SHM. When the zjqr+h j:5aluyof )48mass passes through the equilibrium position, its instantaneous velocityolq)zj 5ra :h8y+f4ju

  A mass on a spring undergoes SHM. When the mass is ao.gbzyj(v + rf.q8gu(l2o 6af t maximum displacement from equilibrium, i. glojoq(u82zaf(v bfyrg 6+.ts instantaneous acceleration

  A mass is attached to atj*ubtaxshkv *,n -.0ede07y vertical spring and bobs up and down between points A and B. Where is the mass located when its kinetic energy h ,ek -ujbvtx*.d7a 0y0ts*neis a minimum?

  A mass is attached to a vert yib.nao/06lhtp6 y 3o,s3 osoical spring and bobs up and down between points A and B. Where is the mass located when ito.3ns66/yohl y,sit3 o p ab0os kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up and down between points um5:fv5z pg7o :aua 8sA and B. Where ivpz::u5s 857 uom afgas the mass located when its potential energy is a minimum?

  A mass is attached to a vertical spring and boqjj k/bz wtay+;c651 dbs up and down between points A and 6w+qjy a;5tdc bzj1/kB. Where is the mass located when its potential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-ajuvj ;)6/hcm(eqmp nnl/fh4 /nd-spring system produces what effecn ve (n pj;hcm/lf6 /)4uqmjh/t on the system's mechanical energy?

  Doubling only the mass of a vibrating mass)ru0 oxn5- eubbo-ic9 -and-spring system produces what effect on the system's mechanx)0ocnb-boui9 ue- 5rical energy?

  Doubling only the spring constant of a vibrating massu(yj dk +cz(-x; h9nne-and-spring system produces what effect on the system's mechani+9njhd yxz n(c(keu-;cal energy?

  A mass oscillates on the end of a spring l1gy d7yevdz7c(rs90, both on Earth and on the Moon. Where is 0yyzd17g7crv e(sd9 lthe period the greatest?

  Increasing the spring gni)ibn +1x*m constant k of a mass-and-spring system causes what kind of chang*in)n 1gm +xbie in the resonant frequency of the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system causes what by(1*,us xlwq/atevs mq*; 0x6 ajcl(kind of change in the resonant frequency of the system? (Assume no change in the system's sprx *u;e(q6mbwyj 1v/ l,*c0qasltxs(aing constant k.)

  Increasing the amplitude of a mass-and-spring system ca bxcd ma9e7*z/og7 s4luses what kind of change in the resonant frbg z7doca/e *9s4xlm7equency 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 attached to a weightless string of lengthwi9*ow rfs t+ 3p-xb8e L. For this sys*s w3o-i8fe wb t9+xrptem, when undergoing small oscillations

  When the mass of a simple pendulum is iqr b;5xd67nttripled, the time required for one complete v5b7;d trxq i6nibration

  Both pendulum A and B are 3.0 m long. The period of A is T. Pen wc,o9z* g,czwasxi3 -dulum A is twice as -s,,cww9 *ozg3czxai heavy as pendulum B. What is the period of B?

  When the length of a simple pendulum is tripled,mw4)gpv8o3 dv the time for one complete vibration increases by)8go34p vdm wv a factor of

  What happens to a simple pendulum's frequency if both its length and6dtw*c5 *xb/u ,c xem fwb7a/ fbf9bd8 mass are increased?*mcbba7 8 5 d9wxudbfceb6/tw ,*x/ ff

  Simple pendulum A swings back and forth at twice the frequency of simple 30o h5n(d+bdz a bk(gjpendulum dkbb h5+0(j o(zdnag 3B. Which statement is correct?

  If you take a given pendulu+do37 l sv5ldy.gout0m to the Moon, where the acceleration of gravity is less than on Earth, the resonant frequency of the pendul ylo3 uslod75+vg0dt.um will

  Curve A in Fig. 11-1 repr 6fadbiu+ r23lesents

  Curve B in Fig. 11-1 representv )+t3wmh u+mp;s yx3ds

  Curve C in Fig. 11-1 reb.8gz. qg,1oh /ziwi 7blwfvmfe3 y/5presents

  For a forced vibration, the amplitude ofjf tqixd4c 6x.y5o.tsg;+5zed; r9rz vibration is found to depend on the

  In a wave, the maximum displacement of points of the wave from equilibrif 2h5vg9 pbo- c-u(ac ffpa5o(um is calledp-covg o5-ac ufb5a(ff29ph( the wave's

  The distance between(:f*i z,xdcgk successive crests on a wave is called the wave's

  The number of crests of a wave passing a point per u (6a f2tid.hmanit time is called the wave'st.2(dhfaam i6

  For a wave, the frequency times the wavelehmta4g 8-s45k3dzvk xngth is the wave's

  The frequency of a wave incree ovv sl7pix vjxy 8w x391ts3s,4ed*:ases. What happens to the distance between successive crests if the speed remains conxxd8* s:vvwysp7i o v9x, 43st3lee1jstant?

  A wave moves on a string with wavelength l and freque0xnotjf6p0 8pncy f. A second wave on the same stx 0pn6p80ojf tring 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, j(dn0 *ojau4fand tension T. A standing wave is set up. Which of the following is trf( a0j*j4uo ndue?

  A string of mass m and length L is under tension T. The speeew. rv1 k i4a iw8kqb6.rwj83bd of a wave in the string is v. What will be the speed r .ibwi.eqk814v b k8wjrw6a3of 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 leng69/ta6i3p m 0eoi/bfd ipjmp(th L is under tension T. The speed of a wave in the string is v. 6p i9p0mjp6 i/em/d b(ao3 itfWhat 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 tension T. The speed of a wave ip5kagx b.q+ i(n the string is v. What will be the speed of a wav a.x5i q+kp(bge in the string if the tension is increased to 2T?

  In seismology, the S wave is a transverse wavq(b fro(5v:tqqs 16 d0fugq1de. As an S wave travels through the Earth, thq6 gbo5udqfdtv(1(:s 0 rfqq1 e relative motion between the S wave and the particles is

  In seismology, the P wave 5c8d5vrwdt dg:xw -g5is a longitudinal wave. As a P wave travels through the Earth, the relative motion betwee- wt8:v55w xdd5cgdgrn the P wave and the particles is

  The intensity of a wav vfd,yr z54rpno/u. -ce is

  A wave pulse traveling to k8e2mbvai3fq2( vfr9 xnu-pb y6.z1e the right along a thin cord reaches a discontinuity where the rope becomes thicker and heavier. What is the orientation of.zvubn b kp6qe 1v9 a(82 -2feym3rixf the reflected and transmitted pulses?

  Two wave pulses with equal positiv exjqnj3zdb f0(h 9p7)e amplitudes pass each other on a string, one is traveling toward the right and the other toward the left. At the point that they occupy the same region of space at the sa ()3dp7 bze90jqnhjfxme time

  Two wave pulses pass eacq t-u/kx4 cuc78xnf(gh other on a string. The one traveling toward the right has a positive amplitude, while the one traveling toward the left has an equal amplitu4t-8qx/7u knc xu c(fgde in the negative direction. At the point that they occupy the same region of space at the same time

  Resonance in a system, such as7 yb0ev r7hn 5.+jmfiq a string fixed at both ends, occurs when

  If one doubles the tension in a violin string, the fundamental frequency of thar 5qa3( mjkodm/:uvq8t string will increase by a facto5kj qu:damvq(/o m83r r of

  What is the spring constant of a 50i+y,uv jdiq 0zp23mezcue7spring that stretches 2.00 cm when a mass of 0.600 kg is suspende235 e qd m+y700cuzjziv,iep ud from it?

  A mass is attached to a spring of sp;pzqyn 0hc; f1gmh)4 jov+8jjring constant 60 N/m along a horizontal, frictionless surface. The spring is initially stretched by a force of 5.0 N on tzf)c;j p mq;1 j48jngo0yhh+vhe 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 horizontal,j zc-a1guk 3*x 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 oscilcx*z 1au3kgj-lating. What is the period of oscillation?

  A mass is attached to a spring of spring constant 60 N/m along a horizontal0j8u zssr. 1 lun,dt2u, 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 i dsnuj.rz ,0u8u 2t1lss oscillating. What is the frequency of oscillation?

  A mass on a spring undergoes SHM. It goes through 10 complete oscillations inl.ba g0sl5ego:*f ij( 5.0 s esgg :lo a.l0j*5(bfi. What is the period?

  A mass vibrates back and forth from the fpbo*) utfy +shx:2w,free end of an ideal spring of spring constant 20 sf2:*u,bh+x po)fytwN/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 a spring ofoqxgg z2n(pohq ( /m1- spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speedn pz2x1o g-qo( h/g(qm 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 8ot0gx h. ,kq-y.0 J at this time. The mass is cut in half, and the system is again set in motion with -gty,.kxho 0qamplitude 4.0 cm. What is the energy of the system now?

  A 0.50-kg mass is attached to(rpa48tru.j0i rm kb. vuc 7l8j-.ztc 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 the ampl ( b.tp.4juc rr-c7i ru80v tjmzkal.8itude of vibration?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m along a horizons e0e.1a zki6,(:wp+mqlgd.g(tc/ twy y d 3khtalt,yq3+s0 . hdgdkwa1(pg.c e/lym ietz (6k:w, 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 the same?

  A 2.0-kg mass is attached wxou j-qhsat73 .m pl.udt0 l,6 y-q6vto the end of a horizontal spring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the total6 quh,lp0wm ao ltt.jsq-3d uvxy6.-7 mechanical energy of this system?

  A 2.0-kg mass is attached to the enyc y4rvx4 0 r..ylgee60u1jha d of a horizontal spring of spring constant 50 N/m and set into sic1v .r0hxygre. 64 y4aulje0y mple 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 spr *z h exd ju1e7x67tmtbfqn,31ing of spring conz 1 3ubxt*ex md17n76q,thjefstant 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 equilibrium v,dpw ipae3:9h qta7-o g(.neposition and released. A frequency of 4.0 Hz is observed. What frequency would be observed if the mass had been displa7: v ho9 aa ,(egpn.w-p3teidqced only 5.0 cm and then released?

  A 4.0-kg object is attached to a spring of spring pii0 ba4p m:p-constant 10 N/m. The object is displaced im: ai4b ppp0-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 objezozkx*: eq yx 6j/+t*jct is dispojq*ze6 ykz/ x+x j:*tlaced 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 slighsin0l *s2k3ccpm :t1ytly from its equil3l2snypts1ckc: m 0* iibrium position, and released. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequency of 1.27 Hz whto-5nffg9p0 o ns3ia(en displaced a distance of 2.0 cm from equilibrium and released. Whatt3n(o5-gfpna i 9o 0fs is the maximum velocity attained by the mass?

  Two masses, A and B, arj; *gu2gw 8pare attached to different springs. Mass A vibrates with amplit;pgja wrug28*ude 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 spring. In equilibrium the mass uvt9 cf i(;ft,9e5q j:h6jxt lstretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm 9vx5(ftlqtj : eif;hjt c ,9u6down and released from rest. Calculate the period of oscillation.

  A 0.30-kg mass is suspended on a spring. In equilibrium the salp1vqk . d6r:bt .)bmass stretches the spring 2.0 cm downward. The mass is then pullqk .:6vr)d p1 .altbbsed 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 ec h.sd b;.rc:squilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and relea.;. hcs :rscbdsed from rest. Write down its equation of motion.

  An object in simple harmonic motion jlis1qnr 0/d2obeys the following position versus time equn / isq2rj0ld1ation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following nzzficz (h: qx/(/-gt 6b+rn nposition versus time equatz ( bn/zxnriq /+th-n(fc6gz: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 vers2kpe9twnl; * nus time equanp*e wk 29;nlttion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes n e+y5lt zhv-b9gi(v -simple harmonic motion according to the eq-ve+igy 9 n5bvthl -z(uation $y = 0.50 \; \sin (18\pi \times t)$ where y is in meters and t is seconds. What is the period of vibration?

A 1.5-kg mass attached to spring wit5dionv 3g k4,xh a force 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. (That o5d ,gi4x 3kvnis, 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 in 8.0 s. (a) What are its wpnyy95, ey 1/ fqgo2ofrequency and period on Eanooe5,1p9w/gfy yy2q rth?

  A 3.00-kg pendulum is 28.84 m long. What is its period on (kxf.gy2 t*z7 xj/inaEarth?

  A pendulum has a period of 2.06) :dyhkq5n um s on Earth. What is its length?

  The pendulum of a grandfather clock is 1.0 m long. What is its peri6ng eci:+ yo nfrp33)mod on the Earinf)3 m+e6 pnogy3c: rth?

  The pendulum of a grandfather clock is 1.0 m long. What i vv7x)fgwlh 6;s its period on the Moon where the acceleration due to gra7 hxg vl)fw;v6vity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mase- ajijbxwg: mrbsn(6imwg70 w 7*4 7js attached to a massless string. When the mass is displaced slightly from its equilibrium pjm7r0:-mswijwa 7 jgbw* geb6i 74nx(osition 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 mass (same diameter sphere) had been attached to the string instead?

A simple pendulum consisting of a 20-g mass has initial angular) 9hmrniu8skr) o8h0+dk l, uy displacement of 8.0e. It oscillates with a perioukm90dho 8,y r+))isnrh klu8d 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 of3k 4k,ps(9p w9gx kh:cy bsw5n the wave is 120 Hz. What is the ampli3n 4b spw5g 99yw: sk,kph(cxktude?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequencyn,yaaz7l./,f1aympjntb-; tq, sz5 s*r/aqg of the wave is 120 Hz. Wh7apyzl//r 5 n1q,*s,f,sy ztajbmtg;q. an-aat is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency of t8ye4h9z l:p ;bqt7vjh6zw.vm he wave is 120 Hz. What is the we.wvh; z l byv64t9z87mp:hqj ave speed?

  What is the frequency of a wave which vq(y l yio2ep4uo6f4 2 1t+dnmhas a period of 6.00 ms?

  What is the period of a wave with n x-6fx 75zt;pslj4lra frequency of 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz and a wavelength of fr c6xly.6:ib7y ,tid3 af k:o3.0 m?x.3ir:ol: tyfb f,7cyid ak6 6

  What is the velocity of a wave that has a wavelength of 2l(lbj0 vg t) oj1qyi93.0 m and a frequency of 12 Hz12y0 ojj gilq t(v)l9b?

  What is the frequency of a 2.5 m wave traveling at 1400 mdr0 +haw/ iu1c/s?

  A piano string of linear mass density 0.0050 kg/m is + 8y0g9u6 jdin2zzz4syld .ktunder a tension of 1350 N. What is thzs4ju 0z6 ndzg ydyl+8.k9ti 2e wave speed?

  A string of linear density 6.0 g/m if6e6qjgw 93v z)j m2xfs under a tension of 180 N. What is the velocity of propagation of transverse waves along the strgfwm6j xz63q j )v9e2fing?

A wave whose wavelength is 0.500 t3/fvsz2:l ij3a ps4hm is traveling down a 500 m long wire whose total mass is4pit32jz : vs/ha lf3s
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 propagati5x *wnj+ ob46np d;ett33cynr on of a transverse wave on a 2.0-m long string fixed at both ends is 200 m/s. Which onct3xt brj*e p n+;yw346ndo5ne of the following is not a resonant frequency of this string?

  If a guitar string has a fundamental frequency of 500 Hz, which one of the fo 6 jt 4gchjlcd2ewcv q.t o-73pe,0p+bllowing frequencies can set the 6h2q0.3 ecdjvwlc4o jptg tb-7p+c,estring into resonant vibration?

  A stretched string is observed to have four equal segments in 6yttdm 6fhr c/+j:6ora standing wave driven at a rot rt/dyc6+6:6hfm j frequency of 480 Hz. What driving frequency will set up a standing wave with five equal segments?

  A string, fixed at both ends, vibrates1 . 0hfqm)no5mf8*x6k3lakf5i siwbc at a frequency of 12 Hz with a standing transverse wave pattern contai*mn3 f1.b56qim8w k kax5hc ol)0sfif ning 3 loops. What frequency is needed if the standing wave pattern is to contain 4 loops?

  A string of linear density 1.5 g/y0wxh5hk8 3xbl.h8 vhm is under a tension of 20 N. What should its length be if itsh5xw bk0 h3vyxl.hh8 8 fundamental resonance frequency is 220 Hz?

  Find the first three harmonics of a string of linear mat,h1 2b c4khcsss density 2.00 g/m and lengthhc2 4tk,cbs 1h 0.600 m when it is subjected to tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. Wh(l bpq3t -7v2av*twv3bqu 82t dxwh+j8z9f mm en the string vibrates at a frequency of 85 Hz, a standing wave with t98v3ut+ fvbdt- q7*lm 282w(mqpvbj3xawzh 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.