The time for one cycle of a pe*-hwn )c agkc4riodic process is called the

  For a periodic process, the number of cycles per unit time is called th zulmd4 hk4 7h.ez*0nye

  For vibrational motion, t4 oeny a;fvmna) g3.5vr0/+vv gn/zhfhe maximum displacement from the equilibrium point is c0vy)fa nm/ 4fzrgg3v;o.va5enn +/ hv alled the

  A mass on a spring undergoes SHM. When the m i8dx7k vv u)rl3t70cpass is at its maximum displacement from equilibrium, its instantaneous 3xuvp7lvdc) k8 0r7tivelocity

  A mass on a spring undergoes SHM. When thy t1r7bu),4 y4p7 oetyoc9cgx e mass passes through the equilibrium position, its instantaneou9 ,71eyugt )coxp4rbc oy t7y4s velocity

  A mass on a spring undergoesl 0qm)5dpm0w+t uy 8zr SHM. When the mass is at maximum displacement from equilibrium, it q8+luzpymdmr )0w50t s instantaneous acceleration

  A mass is attached to a vertical spring and 37gefsbzk)ql6 l / 0qabobs up and down between points A and B. Where is the mass located when its kinetic ener3/a bgf7s)l0ql6zkq e gy is a minimum?

  A mass is attached to a vertical spring and bobs up and down between points A hit0eg59/x ts and B. Where0 xse ig9t5ht/ 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 pj h0qus1et/4c0 jixc:jr 9iv .jta/i3 oints A and B. Where is the mass located when its potential energy is ahjv c ixtqrs0/:ca0j1/.3j t 9i4ui je minimum?

  A mass is attached to6ij 8 z0ltg/ qbzc)ab5eim)o/ a vertical spring and bobs up and down between points A and B. Where is the mass located when its potential enel abmb6 )z8/qj 5)ctzgo iie0/rgy is a maximum?

  Doubling only the amplitude gl73h gxuo 5a: ajrkj anqyg;6b24 e:6of a vibrating mass-and-spring system produces what effect on the system'a jlr:uqjx;n gkgo7b 62563ah4:yg aes mechanical energy?

  Doubling only the mass of a vibrating mass-and-spriuz8- i.**d0acengf gvng system produces what effect on the system's mechanical energ ga0z**.iv8de-fcu g ny?

  Doubling only the spring constant of a vubsudwt(-l1x0 v6 dt;ibrating mass-and-spring system produces what effect on the -xv61u l w dt;u(sd0tbsystem's mechanical energy?

  A mass oscillates on the end of a spring, bothhqt,/lzr y l7. on Earth and on the Moon. Where is the period the grealy q,hl/7zr .ttest?

  Increasing the spring constant k of/)s i hqdw;t2mzzq 18l a mass-and-spring system causes what kind of change in the resonant frequency of the system? (Assume no change in the dzz1il;82h ) tsqm qw/system's mass m.)

  Increasing the mass M of a mass-and-spring systeku ,rr-(7ndtq.zdm v- b5z ygr*o79kpm causes what kind of change in the resonant frequency of the system? (Ass-n -b.q z9to,5r7uy(gmk k*rr7vp zddume no change in the system's spring constant k.)

  Increasing the amplitude of 0o-5x.npg w-x1 xlnnsnbcmy7 (z7n h 1a mass-and-spring system causes what kind of change in the resonant frequen(ymnhwo1lx.-7 nc7pgx05 nn-bx1sn zcy 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 o9qc80 t wv qdu4wi/k;mk4 nz0af length L. For this system, when undergoiqqck0 0w a;d k/4m4z 9wiunv8tng small oscillations

  When the mass of a simple pendulum is tripled, the time required for one completvlq3awpk/t i a.w,i ;q4tz+8fe vibraq8 i ;v fp.3awi+/lt4 tzkqw,ation

  Both pendulum A and B are 3.0 m long. The period of A is T. Pendulum A is twiy2jfb6w0-lup ywxh,.z umts071 q*dxce as heavy as pendulum B. What is the perbmx17f2-0dsj06qw .zwx y*, py tluhuiod of B?

  When the length of a simple pendulum is tripled, the time for one complete vibrat9; 5sak yy71b 7f1bvif*/;ejhtbcsz o4d9ration increases by a fac5ft1ti7cobv*byj 9a9zheba 4f7 k 1s;ds/r;y tor of

  What happens to a simple pendulum's frequencyo+ oh -8 hbk6mx b,p7k8jlwuy3 if both its length and mass are increa6obm kpu-ky83+,hjl 8wx o7h bsed?

  Simple pendulum A swings back and forth at twice the fred li,ea+a)qy )8jd:h t fzavl,l9 2b(rquency of simple pendulum B. Whichlqblf,( le9i)zhyj)atv28: a dda+,r statement is correct?

  If you take a given pendulum to the Moon, where the acceleration of gravity is;i*1d9l hrla s less than on Earth, the resonantr9 lihasd* l;1 frequency of the pendulum will

  Curve A in Fig. 11-1 represevpz/ (f0cnz,ck :k-t bnts

  Curve B in Fig. 11-1 represdbxq g.r md-*,ents

  Curve C in Fig. 11-1 represen7gn8x1vi:jnq nu5vi( ts

  For a forced vibration, the amplitude of vibration is found to depend jhm +7hrp r:u8on the

  In a wave, the maximum displacement of po p).)8 llvblpie(cn4rhlwc*+ints of the wave from equilibrium is called the 8 l) h )w+bcirlp4*e.vll c(npwave's

  The distance between succeb7npss6 .rf6p: 0dcdessive crests on a wave is called the wave's

  The number of crests of a wave passing a point per unit timlu/ylm,cd a 1llj-. b-e is called the wave'sbclyaul1/j ,l d-m.- l

  For a wave, the frequency times the wavelength is the wave's2)kot8c4,coz yq, oay

  The frequency of a wave increases. What happens to the distanfw*/b6+ xavgbbmy k s.r de,93ce between successive crests if the spkxe,rfw3* bsb6g 9 a.+ym/bv deed remains constant?

  A wave moves on a string wikouf hu91p.5 v t-b1ntcj *vn:th wavelength l and frequency f. A second wave on the same string has wavelength 2lbt5 jh*f1 c.o 1vk9p-:nntuuv 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 tension T. A st:ys nu.8/h jwp it;yj0anding wave is set up. Which of the f h s: wtuipj/ny0;j8y.ollowing is true?

  A string of mass m and length L is under tension T. The spyn oruvj8 v:yd9,/d -loq/q )dy oqs97eed of a wave in the string is v. What will be the speed of a wave in the string if the mass of -vs qo/8:/luqy9qo r9d)d 7d ,nojvy ythe string is increased to 2m, with no change in length?

  A string of mass m a8uugy .hq sh-9nd length L is under tension T. The speed of a wave in the string is9gh8.hquu- y s 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 tension T. The speed n. ja)hqb)e3hof a wave in the string is v. What will be the speed of). nj 3ahbh)eq a wave in the string if the tension is increased to 2T?

  In seismology, the S wave is a transverse wave. As g-9 es+szry0ph pl6bk r7*cw24rbd4r an S wave travels through the Earth, the relative motdr79b*srr6+4p kb gph sz -w4er c2y0lion between the S wave and the particles is

  In seismology, the P wave is a longitudinal wave. As a P wave travels throug0 gxe1ula)6vb e *wrv6m( rn0oh the Earthvgl0xvr 01um)e(*o6enr a w6 b, the relative motion between the P wave and the particles is

  The intensity of a wave h vr mb-m+a r98t;jkpb9h3a,vis

  A wave pulse traveling to th;)fm-i-+i*ztu) /1ln a*xznfey drsde right along a thin cord reaches a discontinuity whern-/ar;du le)ixmsz f)*1ny-z d+ ti *fe the rope becomes thicker and heavier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each othezu7ij/pxn0 yixkj/ 3+)jyd (d r on a string, one is traveling toward the right and the other toward the left. At jkx dj d37yujn/p0iz/(y+ix) the point that they occupy the same region of space at the same time

  Two wave pulses pass each other on a string. The one traveling towrt5* rk;f:r2 udz;js8cl7x cyard the right has a positive amplitude, while the one traveling toward the left has an equal amplitude in the negative direction. At the point that they occupy the same ; 5 *lsj8 :rcfcuk2zyr7xr;d tregion of space at the same time

  Resonance in a system, such as a strivu32bc.4. 5u; o hooox4:po 5h dlt.,ownkvlcng fixed at both ends, occurs when

  If one doubles the tension in a vixc*lqs20sl8t:d fsnb 81 tb/ oolin string, the fundamental frequency of that string will increase by a8tf solndsbc :b/ l1st0qx82 * factor of

  What is the spring constant of a spring th/bwaxfj j 8 9sxidt2/;at stretches 2.00 cm when a mass of 0.600 kg is suspendeddsj29/a 8;xw jbxtf i/ from it?

  A mass is attached to a spring of spring constan1ubq2go( w8fdhf3tdxc c;eyb0/12z-na - iiu t 60 N/m along a horizontal, frictionless surface. The spring is initially stretched by a force of 5.0 N on the massit zyoc22n3uh1ia-du1x8gbf;b-0dc wq f( e / 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 constamk m-u, v:wowr,hmrm)r* 3-iznt 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 3mmwmru-wrv,r o* h )mi:z,-kperiod of oscillation?

  A mass is attached to a spring of spri- 6nqnq0/)jcz ihg jllq)g +g9ng constant 60 N/m along a horizontal, frictionless surface. The spring is initially stretched by a force of 5.0 N on the mass andz)gniqqj) nlj-9/c6q0glh+ g 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 comp; lnp 03xsqb6w7mlml/ lete oscillations in 5.0 s. What is thl7qx0l;bmnl6 /spwm3e period?

  A mass vibrates back and forth from /l-7ndh ugwwf)68 jk ethe free end of an ideal spring of spring constant 20 N/m with an amplitude of 0.30 m. What is the kinetic energy6 h7)/8w ndg lfkew-ju of this vibrating mass when it is 0.30 m from its equilibrium position?

  A 0.50-kg mass is attached to a spring or *)vwya(aw/ ,3leieg f spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of yl*v(,a)wew/a3ier g 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 *c q ewtwt6 ;4q4uoy)z8.0 J at this time. The mass is cut in half, and the system is again set 6yq 4)ttqow*4 wczue;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 constar q:-rhpdw h,wg u)51znt 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 aw, rdwuhg1pz) h:-r5 qmplitude of vibration?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m al(su+sqzxl9y467d13jlni q h8ns- wf i ong a horizontal, frictionless surface. The object wq4iix1ys7 f6u8n+-hsd( 93 qljzs nloscillates 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 horizontal spring of spring h7wo pc9w t.kt5(.igt constant 50 N/m and set t. o7t wptic95.w(hg kinto 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 owgjng+ y +..o) ek2mls ypl)9yf 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 total mechanical energy of this system l+ew j)p9).y+so gyl2ymk.g n?

  A mass vibrates back and forth fro4kyp eikgf)0pbe/r6 0 bkp+xr c 9;o+fm 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 kinetirx) + b pb;ryce+kfpkk9 g/4eof6i 00pc energy of this vibrating mass?

  The mass of a mass-and-spring syst: wtrp +rt5m/wgl(-prqe ( h0pem is displaced 10 cm from its equilibrium position and released. A frequency of 4.0 Hz is observed. What frerh tq/r 5r(tlp:m-0p+ epg(wwquency would be observed if the mass had been displaced only 5.0 cm and then released?

  A 4.0-kg object is attached to a spring of spry-nado/cu x80 v7z uw4ing constant 10 N/m. The object is displdnuo8ua4 c-7 0zwvy /xaced 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 ,gg oake: /n3mconstant 10 N/m. The object is displakngg ,o/e:3m 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 /f1gndwvy3 + oN/m, displaced slightly from its equilibrium position, and released. What d+/fyn wv3og1 is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequenc8 /og tvxisbxtmllur ,3:+ .9my of 1.27 Hz when displaced a distance of 2.0 cm from mbtlg : .x9rl+, /ivutsm83oxequilibrium and released. What is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to different springs. Mass A vwlo4, ay .wn6 njnd1(nibrates with amplitude of 8.0 cm at a frequency of 10 Hz and mass B vibrates with amplitude of 5.0 cm at a frequency of 1jdnno6nnal( 4y,.w1w 6 Hz. How does the maximum speed of A compare to the maximum speed of B?

  A 0.30-kg mass is suspended on a sfb 4llv85d5s4dz)pxj6 q2l zopring. 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 the 58bz lzdd5)oqx4lljp2s v4f6 period of oscillation.

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass stretches x 04ba0v,nxzg67 mdgkj)bgn7the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and released from rest. Calculate the 0gn b47mx jzxvk b)6a7, 0dggntotal energy of the system.

  A 0.30-kg mass is suspended on a spring. In equilibris7koryw, l tlc/k 0s,9um 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 dows 0k,9 cs y/trk,ll7won its equation of motion.

  An object in simple harmonic motion obeys the following poes,jc 7 7fxlm)sition versus time equatisx,)7 me7fl cjon:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following position versus b 10gs+nu4v qj0 ca.ngtime equasjqngv g00cu 41b.an+ tion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the followingqb4b/ *e;7gny l1* ;vjab bhuk position versus time equka/1;4b*n;7vheuqlbby * bjg ation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the;1r8vh kpzyqfs3tb/; free end of a spring executes simple harmonic motion according to the equatiorqzkth3 1f/p8;;v b syn $y = 0.50 \; \sin (18\pi \times t)$ 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 cor6 ivpgaw+du ilp )tyk7/p/* (nstant 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 is, the spring is stretched apdi7i r *(gk ) +v6yl//pputwby 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 complg1ell7/j zdu kqx+nlrr97a41ete swings in 8.0 s. (a) What are its frequency and period on Ealu1 7l7/a xqglr 914+jkezrndrth?

  A 3.00-kg pendulum is 28.84 m long. What is its period on Earth?bu fqtt .hv se *1eev)3cp/)4a

  A pendulum has a period of 2.0 s on Earth. What is its ynjwtoj5vhxr3e(9e q h45 +2 slength?

  The pendulum of a grandfather clock is bpnp)g t 4t;(g1.0 m long. What is its period on the Earthg;( ptbng4)tp?

  The pendulum of a grandfather clock is 1.0 m longeu1ei mdu6x5,j -ur+z* x v7sd. What is its period on the Moon where the accelerations5uevj* 6x,7uexidr+m-zd1 u due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attached to a massl,mi,ezes. n1gess string. When the mass is displaced slightly from its equilibrium position and released, the pendulum swings back and forth with seei1n,.z, gma 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 lqfrl8hcld 4.,2iuw57mo pp(initial angular displacement of 8.0e. 7lwl, cp5 r.i4dq(8p folh2um It oscillates 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 )da7nkh3 wr ag9wu j2xud-77mof the wave is 120 Hz. What is the amplituuuxkm2)9gwdj7 wr7hn ad7- 3ade?

  Figure 11-2 is a "snapshot" s5 .fftgh2r .wof a wave at a given time. The frequency of the wave is 120 Hz. What is the wah frst52w.fg.velength?

  Figure 11-2 is a "snapshot" o qzq4tq7zcp:u )eq t3 legm(-7f a wave at a given time. The frequency of the wave is 120 3qqq: 7mtq)( gut7ce z-4zple Hz. What is the wave speed?

  What is the frequency of d2**tc. 4f)ko+pzt uq6yqve h a wave which has a period of 6.00 ms?

  What is the period of hjk k16i ). x1z:c)orchs.fuma wave with a frequency of 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz and a wavelength of i.lud8 pf acad6taomzd:5/ ryp0b;003.0;6a i0.cda0 rzpabdmdt0/58 f ol:upy m?

  What is the velocity of a wave that has a wavelength of 3.0 m and a frs)k/ s0b8 ;yv5h,tisa btk ,hxequency ofh08xa,bb itk)5v/;k, syt shs 12 Hz?

  What is the frequency of a 2.5 m wave tra/g jgdvs:qm1 -veling at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is under a tensijaww t )2 /3w curtjt/jo4ka:9on of 1350 N. What is 9/jtcauw3r :kw)to j a2w j4t/the wave speed?

  A string of linear density 6.0 g/m is under a tension of 180 N. What is the velr ika.c v1j/8;qfulr0 ocity of propagation of trk/ jaqrr01lu .8vifc ;ansverse waves along the string?

A wave whose wavelength is 0.500 m ishj1gp * 2 : bi-0nmdlieut6645sfboqh traveling down a 500 m long wire whose total masiq 6dhbf:mi*b6tnl5 oeupj- 2gsh0 41s 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 .rlk+ 2/bp 56dfco(4ybur4x) ked5u+oi i lkpa 2.0-m long string fixed at both ends is 200 m/s. Which one 4ry)5ik ukklirex/.f+b25ldo u +b4 c pp6d(oof the following is not a resonant frequency of this string?

  If a guitar string has a fundamental frequency of 500 Hz, /n4 zupjfgr nf ( 4f:,8 pjis*msfz(6swhich one of the following frequencies can set the striu86 f(inz(,zpjss*:n f m/fprgs44 jfng into resonant vibration?

  A stretched string is iz/ ln(ekx11o observed to have four equal segments in a standing wave driven at a frequency of 480 Hz. What driv(kxnz/ el1i1o ing frequency will set up a standing wave with five equal segments?

  A string, fixed at both 56hfou1tli8ns8hts-pew1 0 cends, vibrates at a frequency of 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency is needed if the standing wave pattern is to swstp6fiuhn5 0 e lth11o8c-8 contain 4 loops?

  A string of linear density 1.5 g/m i, d,asi (pywqf-3+:d t nxzy3os under a tension of 20 N. What should its leng i(wztqnpx yds -d+o3 f3:ya,,th be if its fundamental resonance frequency is 220 Hz?

  Find the first three harmonics of a string of line98, sm :suw f0hcd1mv3bvyxh .ar mass density 2.00 g/m and length 0.600 m when it is subjected to tension of 50.0 Nhh89f ,vuv bd0w.y:3 m sxcsm1.

A string of length 27o/dbu* 89 bqqst 3ccf3gu9db .5 m is fixed at both ends. When the string vibrates at a frequd c9qfbd3/ *buc oqs3 g7b8ut9ency 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.