The time for one cycle of a peria *q,gjt* 9(dqdwha*u odic process is called the

  For a periodic process, the number of c1vxq:sd62sdlk 7 qfv2ycles per unit time is called the

  For vibrational motion, the maximum displacj .:1fxd npe7 yv4ur1lement from the equilibrium point is called 7dvnux1.yf e 4r jlp1:the

  A mass on a spring uyxy ;r,3h3h/ 6p8qbzx acw*vg 6tqcj( ndergoes SHM. When the mass is at its maximum displacement from equilibrium, its instantaneou6bc aqz33j*yxwp,(vg 8xhc/t ;rh qy6s velocity

  A mass on a spring undergoes SHM. When the mass passes through the equiy() -khk9q6idknc1mqlibrium position, its instantaneous vk )n-k6qcm 9ydhkq(i1elocity

  A mass on a spring undergoes SHM. When the mass is at maximum dispq/5so , zl0:wjdktj9t lacement from equilibrium, its instantaneous acceleration,so z9tjw q0:j/t5kld

  A mass is attached to a vertical spring and bobs up and down bet bh9c7a:5o2z i 1y6albwbb fk8ween points A and B. Where is the macab7l fz1i59 obh ab 62ky8:bwss located when its kinetic energy is a minimum?

  A mass is attached to a vertical spring y99w2 j6xmoml and bobs up and down between points A and B. Where is96l9ymxm w2o j the mass located when its kinetic energy is a maximum?

  A mass is attached to a ve7sl15tb,cvvk t ,l2lirtical spring and bobs up and down between points A and B. Where is the mass located when its potential energy is a minimuml 27tb ,tvlil, kcv51s?

  A mass is attached to a vertical spring and bobs up and down bp .u 6m zj- 5zxs;x3on6ausg/oetween points A and B.u x5nsjz ox o63-a.zpmgsu ;/6 Where is the mass located when its potential energy is a maximum?

  Doubling only the amplitude of a vibf h8, )s-iy-s,lcmrwkmjw qf8-;eei-rating mass-and-spring system produces what effect on the system's mecha kj h)me-8wesicyf8lq s i,w ;f-,-r-mnical energy?

  Doubling only the mavofuf1elww t*85 1ky/ss of a vibrating mass-and-spring system produces what effect on the f u5yo1l8 1 e*f/wktvwsystem's mechanical energy?

  Doubling only the spring constant of a vib)u jqki fnmt;)es (ebh5 *6f3hrating mass-and-spring system produces what effect on the system's 63jhhetq)u efn5)i*(smfb;k mechanical energy?

  A mass oscillates on the end of aidere tm040xlsq f2*a3ao(3s spring, both on Earth and on the Moon. Where is the perio42a fas3qer0 dt*l0sxim 3eo (d the greatest?

  Increasing the spring constant k of a m k8rihkc*kj rx.5-7tz ass-and-spring system causes what kind of change in the resonant frequency of the system? (Assume no change in thtx.zhr *k58-rcj kk7ie system's mass m.)

  Increasing the mass M of a ma5pk5,7ikekz8ul l1 e dss-and-spring system causes what kind of change in the resonant frequency of the system? (Assume no change7eu dek, z5 ki15plk8l in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system causes what kind sre;* t5e8+l fng/jjpg,n+19q thkjy of change in the resonant frequency of the system? (Assjjyp sk9r tn8hqj1;ge+eg/l t*+f ,n 5ume 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 at0hhk8da 4wbs(tached to a weightless string of length L. For thbsa8 kh04 (wdhis system, when undergoing small oscillations

  When the mass of a simple pendulum is tripled, the time rp34w+mfac 0 zvr4z4shqs /m s0equired for one complete vibracs+ hss/04z4q0 mpzr mv34awftion

  Both pendulum A and B are 3.0 m long. The peri - iqbcdh 9ad18m0e;lnod of A is T. Pendulum A is twice as heavy as pendulum B. What is the peria;81 0dm9e idh bc-qlnod of B?

  When the length of a simple pendulum is tripled, the time for one complehq+)-pe vaui*wr (k rq-on6l0te vibration increases by a face)nr-ikp6 +haowr 0u v(q *lq-tor of

  What happens to a simple pendulum' av(y+w 7d0 i6kjt3*m0ncb:p-j eczx jm(fsj7s frequency if both its length and mass are increasedaeccmi7kmn pjzj dwsy -fv0bt( *(3:j7j +x06?

  Simple pendulum A swings back and forth at twice the frequency of si tm;x ;;x dyqcm,ncagn1)w6 .rmple pendulum B. Which rga)y wx6q t1;m c,mnx;.n cd;statement is correct?

  If you take a given pendulum to the Moon, where the acceleration of gravity is ln8jfj1h..r ; eg3tj j4nsrle5ess than on Earth, the;nj13e .jnjr5s4g 8 hjltr e.f resonant frequency of the pendulum will

  Curve A in Fig. 11-1 ; 8v7vkwn iil1a2n uh1represents

  Curve B in Fig. 11-1 repres c 0wkilentysw *d*-7/ents

  Curve C in Fig. 11-1 go87nn-lku: b represents

  For a forced vibration, th-8xi(gcg/trgs ;+ xvf *;i s9fxigqs.e amplitude of vibration is found to depend on the

  In a wave, the maximum displacement of points of tbi8ld. b 27ok3g z4gsohe wave from equilibrium is calllod8b4g zs3bgok72 . ied the wave's

  The distance between successive crests on a wavhpbja.r 8(hh-qt q+2be is called the wave's

  The number of crests of a 8km+;p 1uy js bz-ia0gwave passing a point per unit time is called the wave'bjg1 ;k -am+up8syz0is

  For a wave, the frequ-5g5gil zp-deency times the wavelength is the wave's

  The frequency of a wave increases. What happens to the didkg(oe ;f*e 0fy/v.qbstance between successive crests if the speed e ko*.yefdgq( /bf ;0vremains constant?

  A wave moves on a string with wavelength l and frequen:vz - (d2or6.zmum4r lr ,grbkcy f. A second wave on the same string has wavelength 2l and travels with the same velocitd,(-24 r:m z .kmrvrgu o6rzlby. What is the frequency of the second wave?

  Consider a traveling wave on a stringbwy o8 hnb)(8nnte;s1 of length L, mass M, and tension T. A standing wave is set up. Which of the following ih n;8 w8ebnoyt1(b ns)s true?

  A string of mass m and length L is under tension T. The speed 9u dcb.d2 jq7d* 6faivof a wave in the string is v. What will be the speed of a wave in the string if the mass of the s d6j.dcdav*9i2u7q bftring is increased to 2m, with no change in length?

  A string of mass m and ld r;1s (r sg*nmbfzfzg2f()(oength L is under tension T. The speed of a wave in the string is v. What will be the speed of a wave in the string if the lengtf2*1(zz fo)sb (;g rr(mdfsgn h 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 a )p ;u0npo7(cj9ojnbwave in the string is v. What will be the speed of a wave in the string bpjn 7;po()0c nujoa9if the tension is increased to 2T?

  In seismology, the S wave is a transveuwq nmo 6f m8-uz-4gd0rse wave. As an S wave travels through the Earth, the rdmu8g--of06 qzmu4 n welative motion between the S wave and the particles is

  In seismology, the P1bkf; r2g.yll wave is a longitudinal wave. As a P wave travels through the Eal21; gbyr.fk lrth, the relative motion between the P wave and the particles is

  The intensity of a wave 89utlqkh 5k ,(rvm3qo is

  A wave pulse traveling to the righn/ )l*v6:fl6gvuntiet along a thin cord reaches a discontinuity where the rope becomes thicker and heavier. What is the orientation of the re* n vf/li:uve)lng6t6flected and transmitted pulses?

  Two wave pulses with equal positive v- o-eb9f6hjc amplitudes pass each other on a string, one is traveling toward the right and the other toward thb6vof ce9h j--e left. At the point that they occupy the same region of space at the same time

  Two wave pulses pass each other onbryhps yt698( a string. The one traveling toward 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 sam(r y9bpsy8 6the region of space at the same time

  Resonance in a system, such as a string fixed at both ends, occurs w w3;a5 . d thfcjnd5;na/rmg,zhen

  If one doubles the tension in a vio6yywkuff2 /+i g4t/lo lin string, the fundamental frequency of that string will increase gyk/uwyto +f6 fi l24/by a factor of

  What is the spring constant of a spring that stretches 2.00 cmt m( zya-ug/gw7k)y 1d when a mass of 0.600 kg is suspended frot1zkg) y7/d (ga-w umym it?

  A mass is attached to a spring of spring constant 60 N/m swp vd( tf*rr) fbd 3278mp7rpalong 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 bac2(m*f8 r7dpt7sd)r pw 3vbfrpk 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 alon, kbar+l1trv*( t8ivk g a horizontal, frictionless surface. The spring is init a(t8 *vi1,lk+r kbrvtially 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 constant 60 N/m along a horizontal, frel 2p1g;1x*t64hbk -zx nq ovlictionless 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 exeoz;2kg-x* l16n1 bp4lvt qh quilibrium position when it is oscillating. What is the frequency of oscillation?

  A mass on a spring undergoes S/9ygfj k+4djm HM. It goes through 10 complete oscillations in 5.0 s. What iyfjjgd4k9 /m+ s the period?

  A mass vibrates back and forth from the free enad4aqlt8:sotg : t8c*yo w0,zd of an ideal spring of spring constant 20 N/m with an amplitude of 0.30 m. What is the kinetic energy ofdq 4o tz8osa,t wc*8y0gl: :at 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 20tfuga1+22ausfu l; u 4 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motsfa;uu u1+42 a 2flugtion and has a speed 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 8.0 J at thy-il jrgp;ch mnj kcedj;ij e 7m0jm -114j,:.is time. The mass is- pnjm;j1 , j ;h4cjcljikjd10:ry7me.egm i - cut in half, and the system is 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 horizpix9w,+uo;thfj*,k ew 0oe1 rontal, frictionless surface. The object oscillates in simple harmonic motion and pwe* ;+o1jfrk w,09ieutx, o hhas a speed of 1.5 m/s at the equilibrium position. What is the amplitude of vibration?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m along a hmbij- *kgocpy 3*n;y- orizontal, frictionless surfaco;p *k c-gybyim-*n j3e. 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 to the eg;gm4 yn/w dmf -ek;dt6k(s nb r47on8nd of a horizontal spring of spring constant 50 N/m and set into simple harmonicky;8d nw4nktf/- meon7 4;mrg g6sdb( motion with an amplitude of 0.10 m. What is the total mechanical energy of this system?

  A 2.0-kg mass is attached 2g-l8) f mws)8o-t/tcawnpiggk:x r( to 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. W - gt fp rlxmtg)nwc2os:)kg w-8(a/8ihat is the total mechanical energy of this system?

  A mass vibrates back and forth from the fremzq dten9skos zu8ef3 +(fm) (u n+e0-e end of an ideal spring of spring constant 20.0 N/m with an amplitude of 0.250 m. What is the maximu z-3+zeuoes 8)e mt(9fqs0+ d(nnukmfm kinetic energy of this vibrating mass?

  The mass of a mass-and-spring system is displaced 10 cm from its equilrv+ f g-..b)cax+xdu5g 8sa7(csxbhr ibrium position and released. A frequenccar -x8( )s+7gbg. 5scr+xxf ah.duvby of 4.0 Hz is observed. What frequency 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 spring constant 10e s9wdendezx7v hs)x969r-7n N/m. The object is die de)-69 wzn x7ns9vdx97s ehrsplaced 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 spri0e b(ld .1jtivng of spring constant 10 N/m. The object is displa1eib ( dtj0.vlced 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, dispth n0( ;dgbe0ke3xd:claced slightly from its equilibrium pt3 :x(dn0b 0dece ;kghosition, 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 when khijue; ;jgllbt/-v 4zp2a *rl. /n.stt: 4svdisplaced a distance of 2.0 cm frovtts4r*/tlvenl l;j4 u-.g/ p:.a jki 2 bs;zhm equilibrium and released. What is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to different sps-r3b 5,t* ibyh8bdzvrings. Mass A vibrates with amplitude of 8.0 cm at a frequency of 10 Hz and mass zh-by *bt5r3b8s i,dvB 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 suspendedk hgo2vp+7qe4 on a spring. In equilibrium the mass stretches the spring 2.0 cm do 2hep gk+ov47qwnward. The mass is then pulled an additional distance of 1.0 cm down and released from rest. Calculate the period of oscillation.

  A 0.30-kg mass is suspended on a spring. In equilibrium the m(remm 9q+ kz znm24.uhass stretches the spring 2.0 cm downward. The mass is then pulled an additionalq9+( 2enm mhzuzrkm.4 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 equilibrium the mass stretche :r6r mffz*a,fy(5nbks 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 equat*ya6b5fn(,k z:frfm r ion of motion.

  An object in simple harb:p3)5unf ,zq 9gklj rmonic motion obeys the following position versus time equzf:gl3) 95 ubnp,jkqration:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following positios z((;6;u2yawzkp euln versus time equati2pz6 k;uuye(s;wzl a(on:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple n4sv1 mz4purz u(ra()harmonic motion obeys the following position versus time equ 4rzv1s rnm(apzu)u 4(ation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a sydfx7p8.qmb cv* 96gz pring executes simple harmonic motion according to the equation 9 6mybpxvgc.*7z8q df $y = 0.50 \; \sin (18\pi \times t)$ 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 oscillates onulz/iyyw1ha(r)hn0 qsi 1t m 7 tb3u62 a horizontal, frictionless track. At t= 0, the mass is released from rest at x= 10.0 cm. (That is, t l31 2t za7)tsqhi(i y /nm0h6ywru1buhe 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 ;fcxs(o y7y-:q i(hfk1d08ma hk +fjc 8.0 s. (a) What are its frequency and perfdh0x-yk 1mfa i h(js8foy(k: 7c;+qc iod on Earth?

  A 3.00-kg pendulum is 28.84 m long. What is its period on Eari;z6a mfj ,ch8th?

  A pendulum has a period of 2.0 9azczdb5 e:l) s on Earth. What is its length?

  The pendulum of a grandfather clock is 1.0 m long. n0)n;k:cb faf What is its period on the Earth?k n0fbcn;) a:f

  The pendulum of a grandfather clock is 1.0 m l5 :svyujcx1 o1ong. What is its period on the Moon where the acceleration due to gravity i1o:u5y1xc v sjs only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spher )/:;mg- p b48fpfh ,toblkofnical mass attached to a massless string. When the mass is displaced slightly from ito/t hp mb 4bkpn;-f,)lf gfo8:s 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 mass (same diameter sphere) had been attached to the string instead?

A simple pendulum consisting of a 20pap xopyxjj3)z hccu-o+*0 l xd p0.4/-g mass has initial angular displacement of 8.0e. It oscillates with a+a xxd-yj.c0lpohopjz 4)3p pc/0u*x 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 g/ejws)ct5f f)k l66rj5 zmg7liven time. The frequency of the wave is 120 Hz. What is the amplitudck l fms656)jl 5 egzrf/j7w)te?

  Figure 11-2 is a "snapshot" of a wave at a skc.i d;hih-h 188 9umiedic4 given time. The frequency of the wave is 120 Hu9imsd hice.d ;c ihi48 k8-1hz. What is the wavelength?

  Figure 11-2 is a "snapshy ue4ej x*g,eiys to;b,3ft3(ot" of a wave at a given time. The frequency of the wave is 120 Hz. What eix3,4 ufteoy(* t3y,jebgs ;is the wave speed?

  What is the frequency ofb uod6 0r9t;*gy 8cejf6zzuf - a wave which has a period of 6.00 ms?

  What is the period of a wave with a 8hu((-8ldak5 rzb g(bngh e;lfrequency of 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hzy)cl7kzfu7d . and a wavelength of 3.0 m?k.7 l zu)dcf7y

  What is the velocity of a wave that has a wavelength of 3.0 b x7fp1*c( xtom and a frequency of 11*( c7xxfo bpt2 Hz?

  What is the frequencym-akmig2/ 2kg.j t-r e of a 2.5 m wave traveling at 1400 m/s?

  A piano string of linear mass density 0.0050 km/6ucvqpl qns3a7ujq6 x:6)wu(0 pesg/m is under a tension of 1350 N. What is the wave spwqueux p:s6pq6 qn s 7au0)v lcm6(/j3eed?

  A string of linear d6izrb7e l/1o *x1 h6awrqu -dmensity 6.0 g/m is under a tension of 180 N. What is the velocity of propagation of transverse waves along the strin*x bewl6m/o1r76 1rh aiz-q dug?

A wave whose wavelength is 0.500 m is traveling down a r fzwxr1e79 4c500 m long wire whose total c1e4f xrzrw9 7mass 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 long st78/ffj -*g 3jmie zukkring fixed at both ends is 200 m/s. Which one of the following is not a resonant frequeg euj *zfm3 7ifk-kj/8ncy of this string?

  If a guitar string has a fundamental frequency of 500 Hz, whu h;gevjpk/fk t3x3 h3q+z.g; ich one of the following frequencies can set the string into resonant vibratitg; qfke+3 xhk.u jg3h;pv3/zon?

  A stretched string is observed to have four q)xc cyv) z-zxjqwo1( a8qei 63 +izj3equal segments in a standing wave driven at a frequency of 480 Hz. What driving frequency will set up a standing wave with five equal jx(3)cwxy)a 3ie1c + iz zz6 qv8qjo-qsegments?

  A string, fixed at both ends, vibrat9ahoc9 bl(*tqgbn)3 a es at a frequency of 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency is needed if the standing wave pattern(qbtcona3 alhb) 9*g 9 is to contain 4 loops?

  A string of linear densitds u:ewl2e-ivt : 2o.sy 1.5 g/m is under a tension of 20 N. What should its length b soe2wd:s.:2 tl-veu ie if its fundamental resonance frequency is 220 Hz?

  Find the first three harmonics of a string of linear mass densityjcd+8nni6j+kjm/7vf 1 ; leg e 2.00 g/m and length 0.600 m when it is subjected to tension+g1jkv 8e lfn/cjj76d m+;ei n of 50.0 N.

A string of length 2.5 m is fixed z,jscvfhqk2*)7 hqb,tl . q ,kat both ends. When the string vibrates at a frequency of 85 ,)t 2chjkzq*vb,khql.qfs,7 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.