The time for one cycle of a is;yr)9 hzm ,ah4e:3slu .vav periodic process is called the

  For a periodic process, the nqnffu(kg ;p9-n1gjp 8cp t h;:yani2cf sr.(,umber of cycles per unit time is called the

  For vibrational motion, the maximum displacement from the equilibrium point is cvk 5k958( ;amrqybnfka ay89krqbk5;k( mv5n flled the

  A mass on a spring undergoes SH,sygcr)y7 cp,ewd 6fgw6fe-hr)ze 2 3M. When the mass is at its maximum displacement from equilibrium, its instantaneous velocity cer7 sf3 6cef6w),dp2e ryhw,-y gz)g

  A mass on a spring undergoes SHM. When the mass passes through the f) 2s+gv- xbk7g88k u gmgm9vyequilibrium position, its instantaneous velociv gm7k2gk)ybmg9fxu +v8-s g8 ty

  A mass on a spring undergoes SHM. When the mass is rv ib,0suki) 4at maximum displacement from equilibrib ,ksvui4i) r0um, its instantaneous acceleration

  A mass is attached to a vertical spring and bobs up and down between po/xc1 9vafft. 7h; mgxmints A and B. Where is the mass located when its kinetic91f c7tgxmxv;m. f/ah energy is a minimum?

  A mass is attached to a vertical spring and bobs up and do,9kuscf 0i6r hwn between points A and B. Where isf 0uihr,s69kc the mass located when its kinetic energy is a maximum?

  A mass is attached to a vertical sprink2 u2ks516pmg vj3w uig and bobs up and down between points A and B. Whwik 6v5u1 j2 3m2upskgere is the mass located when its potential energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down between points A dz)qb; xnbeju a vc g-0ke/0e * ryod,gzc:;++and B. Where is the mass located when its potential enerb; g o )k0dzg z;b 0/ne +xdu,yerc:je*-c+avqgy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-spring +5dp hfh4( : uo dr5fb0;:ugyqp sza:usystem produces what effect on the system's mecuqbshd5pyua;:fprh: +50(z4:o d f ughanical energy?

  Doubling only the mass of a vibrating zl4se;fh2r5rje 7 htvv 6m k)xa, 3pd4h+z8qw mass-and-spring system produces what effect on the system's mechanical se qevl5 t2z4kh f+rdaxzr7h; h6 mv,wp8)3j4energy?

  Doubling only the spcd w7q 6u-xt8pring constant of a vibrating mass-and-spring system produces what effect ont uwx-6p 78dcq the system's mechanical energy?

  A mass oscillates on the end of a spring, both on Earth z)53q:xclv t5ziz7 lband on the Moon. Where is the period the grebi z zcvx5l7)l3 :t5qzatest?

  Increasing the spring constant k of a mass-and-s-q,yihje:tu fhfk 460pring system causes what kind of change in the resufi -ty,eqhkjh4:60 fonant 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 kind sjva;c, x8mpifii2.; of change in the resonant frequency of the system? (Assume no changi jxvci.2m8i,sa; f p;e in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring systebos6xo qu/hq38ja .)pm causes what kind of change in thuhxs) pq.j8abq3 o /6oe resonant frequency 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 a1 p2o ug /4ekixfal,k+ 4rhvr9 mass M attached to a weightless string of length L. For this system, when undergoing sma,ig4 lk 1refhv4aux9k/+ op2rll oscillations

  When the mass of a simple pendulum is tripled, the time required for onr/o;u n pe;-qxe completnqo up xr/;e-;e vibration

  Both pendulum A and B are 3.0 m long. The period of A4 ufv0usjmg oi00c-wcv3w; da0ok((d is T. Pendulum A is twice as heavy as pe;o jwwk0dvia0 s ( cdu(gm-4uo 0v3f0cndulum B. What is the period of B?

  When the length of a simu+6, p kn. ty2*bz /x8unvodtxmcx2l/r4vts: ple pendulum is tripled, the time for one complete vibration increases by a factor otm/kxdnr y t4 pctx*vsznul+x6o82. 2:vu ,b/f

  What happens to a simple pendulum's frequency if bo ycad521 ht f4vouk waob9a(532tz ei(th its length and mass are increaazcb5oav1f kao(( 259tu 4ti2he wdy3sed?

  Simple pendulum A swings back and forth at twice the frequency of gr b p*gl) j 28kmacw0nht3vdjzg,,(1n)0tfosimple pendulum B. Whichg*,830arjbl0nt ocdnwk))fgm,( j v 1 t 2gphz statement is correct?

  If you take a given pendulu vri-viw3zl2( ariw 8fu0:c6vm to the Moon, where the acceleration of gravity is less than on Earth, the resonant frequency oiilf8-r 2v zrvi3 :0w 6(cauvwf the pendulum will

  Curve A in Fig. 11-1 representbivzbyw4k)g3*mqv0 (rfh9 x2 s

  Curve B in Fig. 11-1 represe-saw : g(jqxpjfsc778nts

  Curve C in Fig. 11-1 repr jppm./qc9h 6eesents

  For a forced vibration, the amplitude of vibration is cm2 f(a4 lg,khv/8wvifound to depend on the

  In a wave, the maximum displacemenvr+bz/zfof(k4 z( ab2 6vs pf6c *2jjft of points of the wave from equilibrium is called the wave's ca+f62z(f/*bjbof z 4vpvzrf6j2( s k

  The distance between successive crests on a wave is called the wav+60xpc sei 9qpe's

  The number of crests of a wave passing a point per unit time is calleo+xel7zkv * 6pd the wave'sl + p6ozx7*kev

  For a wave, the frequency t pf e cwr51obfcg-vsekk6 5/9e10 f7gqimes the wavelength is the wave's

  The frequency of a wave increases. Wha:gno u0/nm*txp7g; knm g9pnu l/ gk95t happens to the distance between successuxo g7tn0n:g;gn m g* /5 mn9kl/ppu9kive crests if the speed remains constant?

  A wave moves on a string with 5rnj(h/9 zfkx-5/)bf q juy dmwavelength l and frequency f. A second wave on thed)9h/ nuf f5qxz -(5mkjbr/jy same string has wavelength 2l and travels with the same velocity. What is the frequency of the second wave?

  Consider a traveling wave o r+kn,nw.n;(h4gjwc un a string of length L, mass M, and tension T. A standing wave is set up. Which of the following is t(w nw+; 4n,.hrkc ungjrue?

  A string of mass m and length L is under tension T. Ths4c499xn gd 0fs,bm hce speed of a wave in the string is v. What will be the speed of a wave in the string if the m 0cf44nc9b, gmhxds9sass of the string is increased to 2m, with no change in length?

  A string of mass m and length L is under tension T. The speed of a wave in the7iaj*2v.i i2gr/s;fj q- 4fny*ol raj string is v. What will be the speed of a wave in the string if the length is increased to 2L, with no chjiiff4 q**r; jg/y.alr7 i-2v2oj nasange in mass?

  A string of mass m and length L is under tension T. The speed of a bd3ocpw .rz 4nff41*ewave in the string is v. cfdb 3 zn1pwo*e4f .r4What will be the speed of a wave in the string if the tension is increased to 2T?

  In seismology, the S wave is a transverse wave. As an S wave travel)dvo h8fa(9lys through the Earth, the relative motion between the S wave ad 8)fhoav yl(9nd the particles is

  In seismology, the P wave is a lo+12k5xj yc )ye9sq ppsngitudinal wave. As a P wave travels through the cq pyj9k+x 5pe1s)ys2 Earth, the relative motion between the P wave and the particles is

  The intensity of a wav2dpqtw5z1s) k e is

  A wave pulse traveling to the rig:-hdios au. g;ht along a thin cord reaches a discontinuity where the rope becomes thicker and heas: i ho-ud.ga;vier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal posfk27z 7irdr7ph4 i xf2itive amplitudes pass each other on a string, one is traveling toward 7xp 2idrrhfzi k4772fthe right and the other toward the left. At the point that they occupy the same region of space at the same time

  Two wave pulses pass e1 flawp7x )3txq78abfach other on 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 same region of s b) w8xqf a71xla73ptfpace at the same time

  Resonance in a system, such as kn(qyrdi8, 6jykkc 88a string fixed at both ends, occurs when

  If one doubles the tension in a violin stringo 0+gpsfe -dz p/k(t2o, the fundamental frequency of that string will increase by a factor ofs2-p0eg/kzpt ( + oodf

  What is the spring constant of a spring that sc,r8musqb7eu7x5t i-z s5*wf ,kmn7 itretches 2.00 cm when a mass of 0.600 kg is suspended fri8rqtu7 fu snk,- cime5m7 xw*5b,z7som it?

  A mass is attached to a spri6xq8qfjv4i bg4 0*zkvng 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 the mass 0.50 s vi xf*0z6q b8 jvg4k4qto go back to its equilibrium position when it is oscillating. What is the amplitude?

  A mass is attached to a spridoi/j* ix(xu1442y/li,6ukh ei a cbyng 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. Itx 2kiuh adeb4/i/6(j u lo,yyi1*xc4i 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 0+n q.rpmd7nkj:lia8mb4 o a9 a spring 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 the mass 0.50 s to go back to its equilibrium posi:o4ma r 8bnq7aj0.ndml9+piktion when it is oscillating. What is the frequency of oscillation?

  A mass on a spring undergoes SHM. It goes through 1 7cb*to2x *di6lcgodp 6m,. ux0 complete oscillations in 5.0 s. What is thegi6 72 dxdxcmu *o b,tc6o.pl* period?

  A mass vibrates back and forth from the free end of an ideal springev.aqs fhpqg-elm(z-;( :o +w of spring constant 20 N/m :p-l sg.v(qh;f+ (azemwqe -owith 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 at.c,c 9by:nav1 dfqs/d tached to 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.dvcy1cdnqfba ,/ .9:s What is the total energy of the system?

  A mass undergoes SHM with amplitude of 4 cm. The energy is 8.0 J at j+1)lz,f wj,:a j zveithis time. The mass is cut in half, and the system is againj ifejz),v j:la+1,zw 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 (d.yc -5ndj f2f glw.h- owuvf8a)4ri a horizontal, frictionlessl5v8-u ( .2hrio)4 wnwfg-ycdf.jfa d 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 vibration?

  A 0.50-kg mass is attachedk3znift.wcyg8y ,(d* to 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. At wha.ydn (if*c,z kyw8tg3t location are the kinetic energy and the potential energy the same?

  A 2.0-kg mass is attached to the end (x4 ypxyt5:cd of a horizontal spring of spring constant 50 N/m and set into simple harmony yc t:45dx(pxic 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 of a horizontwykkh3.oy2;aub -e0z .5j3ie e3o jlval spring of spring constant 50 N/m and set into simple harmonic motio3.03ley hi3e;zoeo b.-2jukav5 ywj kn 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 in)1 kld2;5: 6rlmij hd x5fpdbdeal spring of spring constant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kinetic energy of this vibrating masjf5 xd bdn5 :2l kd;rpiml6)h1s?

  The mass of a mass-and-stc 4d,czxqskn(c3/v; pring system is 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 thek3; (/czcqvn,dts4xcn released?

  A 4.0-kg object is attached to a spring of spring hpjqjgugo6ku ,-2 -v/constant 10 N/m. The object is dispjkg pvu-go jq2uh ,/6-laced 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 s5l*ve8 s in(1o pjwek/pring constant 10 N/m. The object is displaced slp(n/ij o *1ek8vw e5by
5.1 cm from the equilibrium position and let go. What is the frequency of vibration?

  A 2.0-kg mass is hun/fzdp0( mvt h:g from a spring of spring constant 18 N/m, displaced slightly from its equilibrium position, and released. What is the fv( 0zdpt m/fh:requency of its vibration?

  A mass is attached to a spring. It oscillates at a frequency of 1.27 Hz myk dzp+4t j)drz lf*78it*o.z;nzu6when displaced a ddtnr 6z); * tzjy udl87f4zi.+ zkp*moistance of 2.0 cm from equilibrium and released. What is the maximum velocity attained by the mass?

  Two masses, A and B, argq z .rs0d ozp2qg,57ue attached to different springs. Mass A vibrates 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 16 Hz. How does the maximum speed of A compare to the maximum spee72gz r,q.psdzqu0 g5o d of B?

  A 0.30-kg mass is suspended o8 17r gmaueptsrhq./ mpyu+)+n a spring. In equilibrium the mass stretches the springura p17.p)+s8yet+h/m gmqur 2.0 cm downward. 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 equilibriuko+ da bc3.ay+ m-ei)q 48fnism the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 csin f3+ diay-ma.becq+ )k8 o4m 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( f/9+gg ebiuynei6s1 mass stretches the spring 2.0 cm dow+fnii1e9bs(ug /ye6 gnward. 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 position versusxv w5b f3*n7xlvnwgzzu- k k.6k6/c z. time equatk6.b 3gv5zcn7.zkx- zx /*vwunfk6lw ion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obey 21azhu* hy/c3d u v;.9yuunqaf(p6t js the following position versus time equatio9hqp1a 32 h;au dj u/6(n.f yczuu*ytvn:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple h;siz ) h79bdem3d*. k:nvlb9yem5uj narmonic motion obeys the following position versus time equatihddnz)j e9i .m mub*n :59sybve ;37lkon:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple harmoagzk v0)l9mgi+9br/:rw tb r8nic motion accokz0 9ir:rmlbtr )gg8a /9 b+vwrding to 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 .k utbfkh;neti ldoa :p/2 .pp .::-cwconstant of 20.0 N/m oscillates on a horizontal, frictionless track. At t= 0, the mass is rkf:l: oa:i bw -;hcpu/t2ppen t. d.k.eleased from rest 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 complete swings in 8.0 s. (a) What are its fr*la5e9zg qa: cequency and peri e:9a5*zgqc laod on Earth?

  A 3.00-kg pendulum is 28.84 m long. What is its period on E (*gs tt ehe8(g*-fijvarth?

  A pendulum has a period of 2.0 s on Eartwo5 3yo,gy0se /n6y.n1 p1sdv cgtgm7h. What is its length?

  The pendulum of a grandfath0z -lw:(j/ ,gla;cy(wo oahiper clock is 1.0 m long. What is its period on the Eart0lg w( ojih: za;o,-c(p/wayl h?

  The pendulum of a grandfather clock is 1.0 m long. What is its period on the k5-5ygc mcpj(3a( ose.4alj)0 vkqoxMoon where the 50g. clkjs jey) (35o -a4mxap(ockvq acceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum co4opdf2mz-p ytw 73i x9nsists of a 0.25-kg spherical 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 wouwpf74- 2oidyx 9z3t mpld have resulted if a 0.50-kg mass (same diameter sphere) had been attached to the string instead?

A simple pendulum consisting of a ,j7qa*3z bk9 d-naixu20-g mass has initial angular displacement of 8.0e. It oscillates with a period of 3.00-n*aa u j73i9 xk,dbzq 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 ti2wft pmq;) (fome. The frequency of the wave is 120 Hz. Wha) wft;(fo2pqm t is the amplitude?

  Figure 11-2 is a "snapshot" of a wave at b 47)vt le xgf(au9hu;a given time. The frequency of the wave is 1v; 49bfh)l7a ue gxtu(20 Hz. What is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a giffb1is- v8 4 ucd)7 9;zfn,lsop)qbc fven time. The frequency of the wave is 120 Hz. What is the wave s)4o9u1ssffq,zfp;)n87vcb-clb f i d peed?

  What is the frequency of a wave which has a period of 6 rr3mnp7wwrvbv f3yj:6*y,; q.00 ms?

  What is the period of a k7 iro uo 4e2ga-+x;mwwave with a frequency of 1500 Hz?

  What is the wave speed if a wave has a freqn :mc+-ic bqn4uency of 12 Hz and a wavelength of 3.0 q- n4i cncmb:+m?

  What is the velocity of a 9i q16l jli3ljd0e5uiwave that has a wavelength of 3.0 m and a frequency of 12 l09qje1li5di l6i3j u Hz?

  What is the frequency of a 2.5 m wave traveling at a2qf8zkuq-gng dr -481400 m/s?

  A piano string of linear mass density 0.0050 kg/m is under a tengh d/;uq n p aw22g3/knuli.6osion of 1350 N. What is the wave speed?hkgo 3 2wng6/q/n. udap 2i;ul

  A string of linear density 6.0 g/m is under a tension of 1ms+ wj dg:ys9::k)(oaz9s9pufi si1d 80 N. What is the velocity of propagation of transverse waveszy)ufgss9p 9k::o ims :id(j adsw1 +9 along the string?

A wave whose wavelength is 0.5 i hyb045lm2)s-h8rccsexb - p00 m is traveling down a 500 m long wire whose total masscr80e 5-p y )2b l-b4mhsxihcs 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- -stsi 0yt pg3fq38qx:m long string fixed at both ends is 200 m/s. Which one of the following is n sy pt33-xfi8g:q0qst ot a resonant frequency of this string?

  If a guitar string has a fundame owf*3o1aeq )* thu or(/m8segntal frequency of 500 Hz, which one of the following frequencies can mo u1e 8*trw( qheofgos)/3* aset the string into resonant vibration?

  A stretched string is observsw 2my2(dxoq*d0wv7 kfz8 t5*5gelqqed to have four equal segments in a standing wave driven at a frequency of 480 Hz. Wha2ydwdl2g5*o 0*kx 85sewqvz7( qq fmtt driving frequency will set up a standing wave with five equal segments?

  A string, fixed at both ends, vibrates at a frequency of 12u;)v+npfpujwkhxp85-1 a;yuesm5 h 5 Hz with a standing transverse wave pattern containing 3 loops. What frequency is needed if the standing n81yef;u mawkh5shup5 ;u+x pjp5v) - wave pattern is to contain 4 loops?

  A string of linear density 1.5 g/m is under a tension of 20 N.upev 0 a*r 4zk 9ny:br./w8jip What should its length be if its fundamental resonancw*8k0u9a/n.eyjvpz4i : rprbe frequency is 220 Hz?

  Find the first three harmonics of a string of linear mass densi,g +fxddvls: zm g 98 u2uibyy5-v)qw,ty 2.00 g/m and length 0.yys:f 5zv9xw2 lmgubv q8d,,gid)+- u600 m when it is subjected to tension of 50.0 N.

A string of length 2.5 /+2r zz2ii stmm is fixed at both ends. When the string vibrates at a frequency of 85 Hz2 tmzz s+ii/2r, 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.