The time for one cycle of a period1c*6 ljsd q8jik6x9moic process is called the

  For a periodic process, the number/hiq bc:30 *81gnoh3zmc0k g-wcfytf of cycles per unit time is called the

  For vibrational motion, the maximum displacement from the llzn6-c .sl5yequilibrium point is called tsl. y6n-z lcl5he

  A mass on a spring undergoes SHM. When the mass is at its max6f ;*i221 oj/tyjcdpw6be ftz imum displacement from e ztbtd62/jpj*e 2co; wiff6y1quilibrium, its instantaneous velocity

  A mass on a spring undergoes SHM. When the f/yyyi:6hl4 u78ueq fmass passes through the equilibrium position, its instanl67y:y uiqyue8/ ff4htaneous velocity

  A mass on a spring undergoes SHM. When the mass is at maximum displacement frpp9 lki h77j93t vwjd*om equilibrium, its instantaneous acc3jph7wtid97vl* 9 j pkeleration

  A mass is attached to a vertical spring and botwgmlg9ht 1ck( a08r0bs up and down between points A and B. Where is the mass located when its w1 9gt0k ct(a g8lmr0hkinetic energy is a minimum?

  A mass is attached to a vertical spring and bobs up an ctxo7by; .ogr1f9;o htms3m*d down between points A and B. Where is the mass located when ibcxyoo7ms ott;;3r*g h1m. f9ts kinetic energy is a maximum?

  A mass is attached to a vertical spriy+, it8xd9 zzeng and bobs up and down between points A and B. Where is dz+z,8t ey9ixthe mass located when its potential energy is a minimum?

  A mass is attached to a vertical spring and bobs up and downjaf a/ .jer/d0i0g gm9jh69i4)m arln between points A and B. Where is the m)h jja.gg/0e 046nj9ir9raa dilmf m/ass located when its potential energy is a maximum?

  Doubling only the amplin;m6aoabg.g j;8,lnk 7 w-riktude of a vibrating mass-and-spring system produces what effect on ther;6i -og.7,a 8akglmbknnwj ; system's mechanical energy?

  Doubling only the mass of a vibrating f1wuw;; c5ax imass-and-spring system produces what effect ou;5 wa;i wf1xcn the system's mechanical energy?

  Doubling only the sprin0 d/aon f:hi0zg constant of a vibrating mass-and-spring system produces what hf0n:oia/dz 0 effect on the system's mechanical energy?

  A mass oscillates on the end of a spring, both on Earth and on the Moon. Wheop9y2m9 d)8umyjq f9sre is the period the greatest 99ys9myp8)jdm oqf 2u?

  Increasing the spring constant k of a mass-and-spring sys kz*z+/dg2p :z rr*.*pwjh ie3.b1wh5hixzzmtem causes what kind of changew1w2gemj.hpi5bhhz.z*3rk+:pz** xzi/ rdz 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 systebn*hs w 8/ib5(mkqn r 5.iwpjqs8w*e,m causes what kind of change in the resonant frequency of the system? (Assume no change8/rw. *8i*b i(5ehwmj sb5knqws ,pqn in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spr6,ci*v ( da1tmcxkbu)58 nndt ing system causes what kind of change in the resonant frequency of the system? (Assume no other changes in the system.numt,8ak6bxv1 (*c5d)cin td)

  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 strrbn4 t n- ;8e)zxor:quing of length L. For this system, when undergoing smalzr4 q:bn ;n)ex-toru8 l oscillations

  When the mass of a simple pendulum is tripled, the time required for 9t.nnpko57tz one complete vibrationk9n 5zo7. ptnt

  Both pendulum A and B are 3.0 m long. The period of A is T. Pendulum A is twtlk*s.;8v j bsice as heavy as pendulum B. Wha.;s k*svl8jtbt is the period of B?

  When the length of a simple pendulum is tripled, the time for o7j suy30rg;yine complete vibration increases by a facto307jry iug ;ysr of

  What happens to a simple pendulum's h6yw .mbjw pe3;4e:anfrequency if both its length and mass are inw4b ewm ehj a:;yn.6p3creased?

  Simple pendulum A swingsx 00b,bycsc 9x-xtiz* back and forth at twice the frequency of simple pendulum B. Which st xxt 0*bc0-b sy9,xizcatement is correct?

  If you take a given pendulum to the Moon, where the accele8d86koin qaqa53e kz z,o w,* 5wnt8ieration of gravity is lee5,d8i oa6n*w 8znet q3ik85aowqz, kss than on Earth, the resonant frequency of the pendulum will

  Curve A in Fig. 11-1 r9a+r9ax bt16zd : uongepresents

  Curve B in Fig. 11-13v *7u teq9dkcjg 1li8 represents

  Curve C in Fig. 11-1 represents mrbdw/yrs),7

  For a forced vibration, the amplitude of vib4o + vbkrw(cg cpu;ld9m+j5 8xration is found to depend on the

  In a wave, the maximum displacement of points of the wave from ejxmc3:bs pn.d5y6g4e quilibrium is called the wave5scgjy 34p.e:m6n bxd 's

  The distance between successive crests on fs0rv1ybhj6) r) 8bbq a wave is called the wave's

  The number of crests of a wave passing a point perr k q5sb08qdm0j fim 8y:mn3*u unit time is called the wave'sm mnjd*m qfu503sy8 iq0: b8kr

  For a wave, the frequency times the wavelength is thx-5scroel4h- e wave's

  The frequency of a wave increases. Wcygpvb(6-y(c+(0y 8kgi vpzchat happens to the distance between successive crests kcyvygz0gvb+c(p-8p( 6ic y( if the speed remains constant?

  A wave moves on a string with wuyckcrj70++6 2c g yakavelength l and frequency f. A second wave on the same string has wavelength 2l ajcy+02y7argc+ kuck 6 nd travels with the same velocity. What is the frequency of the second wave?

  Consider a traveling vq ep,waxrzs x pr ;:-c0bb:)4wave on a string of length L, mass M, and tension T. A standing wave is set up. Which of the follow:b)xxp 0,4pwre-car qz:bv s ;ing is true?

  A string of mass m and tn e9d/)n+ake4qzp i+8o6imm length 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 mass of the str o++i4 qtnpzma e/i6m9)n8ekd ing 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 wa(-hao 2/vu itsve in the string is v. What will be the speed of a wave in 2svui toa-/( hthe string if the length is increased to 2L, with no change in mass?

  A string of mass m and lpd*0/fzbggnsl 6 d7,ad(. lyx7k 2esfength L is under tension T. The speed of a wave in the string is v. What will be the speed of a wavkddx,slp el.nf/ 6(7 b0sad*g27ygzf e in the string if the tension is increased to 2T?

  In seismology, the S wave is a transverse wave. As an S wavehdbzs.g m:g np)06x9d travels through the Earth, the relative 0pg6bm:.n )dd9xzgh s motion between the S wave and the particles is

  In seismology, the P wave is a longip*i/o+u f55/ +k3,a qvbj 1v ancxgifvtudinal wave. As a P wave travels through the Earth, the relative mvg o *fq3,kca/pu5++n5ij 1ib/xfv a votion between the P wave and the particles is

  The intensity of a wave i*q9oxxgv+ znv /x/(i)g 2 jfets

  A wave pulse traveling toj)i/(njw2,i0ndofku :f 5x gp the right along a thin cord reaches a discontinuity where the rope becomes thicker and heavier. What is the orientationi5wx n: j,k(2i /ogffdu jp0n) of the reflected and transmitted pulses?

  Two wave pulses with equanv6 y9ktfnxx(an)t *, p35zlyl positive amplitudes pass each other on a string, one is traveling toward the rightn nt6xaynlk9,px 5( f )3z*yvt 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 eac j e briap17y6k4hs/t/h 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 space at the same time/kbrs iap 746 yj1t/he

  Resonance in a system, such as a string fixed at both ends, o9nz+d gf9 yo-dccurs when

  If one doubles the tension in a violin string, the fundamentald-symr- zhypg8 +qp6* frequency of that string will incre rzy-sg m8+p -hyp6d*qase by a factor of

  What is the spring constant of a spring)paau+ /gux+(jzq* q/)hq ffw that stretches 2.00 cm when a mass of 0.600 kg is suw+p)+ qqgh/faq/ u (*xj)fzauspended from it?

  A mass is attached to a spring of .c;jcgy5b *:g7 i2 8d2ympueh2amm gvspring constant 60 N/m along a horizontal, frictionleved ;m*2c 8iy5.ggcapm7jm: uy2gb2hss 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 amplitude?

  A mass is attached to a spring of springy 3mf zvp3bkwa,ai 7r z .yx;8v5)k:mk 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 equili ;3wb7:8ykfk35)v,izkaazxm p. mr yvbrium 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, 5y4alweqm( o+d5 vx.efrictionless 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 oscillaeo 5a+d(we mvqly4 x5.tion?

  A mass on a spring undergoes SHM. It goes through 10 complete oscillations q3:dou 3;c*u;75 avqslj 3zo vi 9tqljin 5.0 s3vz:5djq3;vq73tl9u cj;qo si lo * au. What is the period?

  A mass vibrates backu;waq1mmtsc u57fi-jx ah2 ;, 0phyh: and forth from the free end of an ideal spring of spring constant 20 N/m with an amplitude of 0.30 m. What is the kinetic energy of this vibrating mass when7tij: h;m w5yh 2cfaq,usum-1h0 x;ap it is 0.30 m from its equilibrium position?

  A 0.50-kg mass is attached to a sprinkd 0vc oiu5u +j/q5j hz1e8i0ig of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillatz 8 ohikiu5uqj00cedij1 v5/+ es in simple harmonic motion 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 this time. ;d;pim -usul8 The mass is cut in half, and the system idum lpsi8u-;;s again set in motion with amplitude 4.0 cm. What is the energy of the system now?

  A 0.50-kg mass is attached gpm3rsz lp9hl ) ,+p+jto 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 1.5glmp+lp pj),h+9sr z3 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 a5 tun1c.ofpb 3long a horizontal, 5fc 3p bn.t1oufrictionless 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 to the end of a horizontal spring of spring constab9szl0c)f7b dnt 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the total mechanical energy of this systemz0sd7l )9fcbb ?

  A 2.0-kg mass is attached to the end of a i fgng 2(;u*l( a lq /ekr2mys:enky:*horizontal spring of spring constant 50 N/m and set into simple harmonic motion with an amgl2yk nqelkm(gu(*a: s2ern; : /fiy *plitude of 0.10 m. What is the total mechanical energy of this system?

  A mass vibrates back and forth frxcnyc :7o+4 evqwt6n4 om the free end of an ideal spring of spring constant 20.0 N/m with an amplitude 6+ w4vtyconc7eq: x4nof 0.250 m. What is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-a1++si 73lryrm 1an0l2x k izkqhp)c( wnd-spring 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 then rel1)pr7+ zxm+h rny l(03kkis1cawql2i eased?

  A 4.0-kg object is attached to a spring of spring const )h4u i0(j,bpepgl 1ozant 10 N/m. The object is displac)pjle gp z,b (410iuhoed 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 1 9;oy+etcaz1)efb6d5 ;n q xbj0 N/m. The object is displaycj ;x;+feb6obne1 tqz9) 5da ced 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 cb1hi. kl)x+hag*nl o1onstant 18 N/m, displaced slightly from its equilibr*x+hli1 g.ol1 bk)hnaium position, and released. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillate 2) 2qhgixpu:spuhmt)/9 k+hnvq4 ou9s at a frequency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What is the maximum velocity attained by the hp x2 h+9tk2 vgm4uno:i )9h /sq)qupumass?

  Two masses, A and B, are attached m3 o( v0yxrjm);zwlv6to different springs. Mass A vibrates with amplitmz6(;m3 oyvv0 xw )ljrude 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 equh/5-pcciqagpf 7 /tq6ilibrium 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 pehfgq-pi qtp7c//a 56criod of oscillation.

  A 0.30-kg mass is suspended .jdejrn.mrmzte,oe2 t (8/ c* on a spring. 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 releadzn(.j, re*erje/2mt t.c8 mo sed from rest. Calculate the total energy of the system.

  A 0.30-kg mass is suspended on a spring. In equilibrium the masc kvs7;e/j8pl s 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 down its equation of motvp8clej/; k7 sion.

  An object in simple harmonic motion obeys the seq-)7fd e23jnuf4gs following position versus time equation:)s2feeufgjs-n q73d 4
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple ha m zcyr4wtc 0dfz/s435rmonic motion obeys the following position versus time equati 44 yzm dfc0crz5t3w/son:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motia3w /o;u a /map krfww3h27rhtw* j,i5on obeys the following position versus time equation:h fwt,wkw urahaa2* mw53;/i/7jrpo3
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the fre ssez,fk7s7 /s8iz xu6e end of a spring executes simple harmonic motion accorse,z/uks76fsi8s xz7 ding 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 spr7wcsez(n- ;vf ; t9jgv32hadzing with a force constant of 20.0 N/m oscillates on a horizontal, frictionless track. At t= 0, the mass is releaj;eg h (-z zf9tswv37d2;avc nsed 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 frequenkal6c0bc 3r/b e:j wfaf4mr y*.p61uccy and perio ya0m4:6. r f3r*kfcpw1ua lbc6bc /ejd on Earth?

  A 3.00-kg pendulum isv 6jg)c5:dsz(9quc80th (kckn h/wmk 28.84 m long. What is its period on Earth?

  A pendulum has a period of 2.0 s o 5lw aghw(g18ibx-;l an Earth. What is its length?

  The pendulum of a grandfather clock is 1.0 m long. What is its period on the Eam /z7z;i u-aggw5uj)y rtw/75;ju mgiz-ag z)uyh?

  The pendulum of a grandfat0lx t3l h,tkv(her clock is 1.0 m long. What is its period on the Moon where the acceleration due to gravity0ttvx hl,l3k( is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kgwxpdu b7 /3t0t 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 would have resu3tt7pw/ xud0blted if a 0.50-kg mass (same diameter sphere) had been attached to the string instead?

A simple pendulum consisting of a 20-g maw/i+q 9 wcxor(ss has initial angular displacement of 8.0e. It oscillates with a period of (+w/r iwox9cq 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 fri 4z7lcp )nbgm+5wnr .equency of the wave is 120 Hz. What is the ampl5.n+w p) icgz4r7 nblmitude?

  Figure 11-2 is a "snapshot" of g-2*nv0ywsq /0ml6qm 4znv ac a wave at a given time. The frequency of the wave is 124mv*ngvqaq 2c/ z6ywl-0s0mn 0 Hz. What is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency of uf2+.g/n+ k ay km2mcuthe wave is 120 Hz. Whmf/.+ nkcg u+am22 kuyat is the wave speed?

  What is the frequency of a wave which has a period of 6.00 6 y4g:;6*;v.culf9cjg4ftkqc vdau oms?

  What is the period of a wave with a freque3y)2y:d-iw- cxf ;fi/aqigw g ncy of 1500 Hz?

  What is the wave speed if a wave 4)footmk 2r1 3mpmi4 ohas a frequency of 12 Hz and a wavelength of 3.kt1)m3 o 4oi ofrmm24p0 m?

  What is the velocityg 6zea::*f;fm-jf tj8i+ tzkd of a wave that has a wavelength of 3.0 m and a frequency of 12ftj6 mgz k 8;e d*ti+:-jzf:fa Hz?

  What is the frequency of a 2.5 m wave traveli2hnq :)2gkrx zng at 1400 m/s?

  A piano string of linear mass 5wnus 8(6mx7ot m,c lpdensity 0.0050 kg/m is under a tension of 1350 N. What is the wave m l(n8upcw,o6txs 75m speed?

  A string of linear density 6.0 g/mzxjys uuwr)ua 4*+25kmqdg 3k524ub mn69au b is under a tension of 180 N. What is the velocity of propagation of transverse waves along umu45+ u skr5 2yagmbajx)u*b9qwdzn ku3642 the string?

A wave whose wavelength is 0.500 m is traveling down a 500( jbgf8t lj3 ,edl74nf m long wire whose total ffnjteg bd l ,jl38(74mass 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 w3: g0kdlrl090 lwr ppzave on a 2.0-m long string fixed at both ends is 200 mwz 3dl rp0g0l:rl9 pk0/s. Which one of the following is not a resonant frequency of this string?

  If a guitar string has a fundamental fkg+j8h dl 9z1ia9dq* orequency of 500 Hz, which one of the following frql gok99h*di8+ jaz1d equencies can set the string into resonant vibration?

  A stretched string is observed to have four equ7p i3f46imfkwm1k(qkal segments in a standing wave driven at a freqk1 f37i 4pwmkmkq(i6fuency 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 a 4qj - zfhtz4m2xto7v*l u2z(of 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency is needed if the standint2 vlzauqo4*-zz4f2x7t jmh( g wave pattern is to contain 4 loops?

  A string of linear density 1.5 g/m is under a tension ofdz4uv vrm va)0j2 x02q 20 N. What should its length be if its fundamental resonm2v)dzqrjva240 xvu0 ance frequency is 220 Hz?

  Find the first three harmonics of a string of linear mijs s m 7i*u+cpt s+3;hp;n0lnass density 2.00 g/m and length 0.600 m when it is subjected to tension o hsj;nu7ip 0s* p+tc 3i;m+lnsf 50.0 N.

A string of length 2.5 m is fixed at boerv:l c) ur*.v1 8psrfth ends. When the string vibrates at a frequency of 85 Hz, a standing wave with five loops is f :lvv1rsrep.c f*8ru )ormed.
(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.