The time for one cycle ofu:cxlt h4 a crbz64 .xohem,;/ a periodic process is called the

  For a periodic process, the number of9v;whjcip vn x89*d u9 cycles per unit time is called the

  For vibrational motion, the maximum displacement fr9:)by vm(szfby t4/tgom the equilibrium point is cbsmf/: tg)yz t y4v9b(alled the

  A mass on a spring undergoes SHM. When thep/*dehmf9l lx6yw 07g mass is at its maximum displacement from equimdgh/*y 06fpl wex79llibrium, its instantaneous velocity

  A mass on a spring undergoes SHM. When/+diot vi.,* jea9 gsy+c.hj,)yg g tw the mass passes through the equilibrium position, its instant a+se..j /dcghi yt, ygvg)*oji9t w,+aneous velocity

  A mass on a spring undergoes27:rlzmb -gx i SHM. When the mass is at maximum displacement from equilibrium, its instm:rgxz2i-lb 7 antaneous acceleration

  A mass is attached to a verticaw+7ln p 6b5(+ko v l ,7ueowu,bhpogc4l spring and bobs up and down between points A and B. o4 6w+en opo,wp7 ubc +bhl,gluv(7k5 Where is the mass located when its kinetic energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down betxn;0z bc2l.;dgs(t20 rnufaoween points A and B. Where is the2safu;;b0td(2 n 0.rgox lncz mass located when its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up and down between points A an m3a*a lr qhb u5kbx62ybb09p3d B. Where is the mass located when its potenti90b5hbpuxqaa *bb3 ly63k 2mral energy is a minimum?

  A mass is attached to a vertical spring and bobs up and downm,k zp*ebp* :z between points A and B. Where is the mass located when its,*zb *mzpp:ek potential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-spring syste6asid re/ hjdfo2a1 5;m produces what effect on the system's mechanical 1j5of2rdai se/a d;6henergy?

  Doubling only the mass of a vibrating mass-and-sprinzs+5z hmw-ufiqo):h1 g system produces what effect on the sys15fmiohwhz z+q:u)-stem's mechanical energy?

  Doubling only the spring constant of a vibrating mass- 1tbrtm07l2 etc7 8x9oxa y9hdand-spring system produces what7 rb91e h78xmo ltxt0cyda92t effect on the system's mechanical energy?

  A mass oscillates on the end of a smi r3 g vsrmeo)czi2,(c5e olb1 .6jp.pring, both on Earth and on the Moon. Where is the period the greaic3mej .o 5p.,czmrevbgl(r)1i 6o2s test?

  Increasing the springku5 p 0*hjcln3xen(6 s constant k of a mass-and-spring system causes what kind of change in the resonant frequency of the system? (Assume no changenc 3kn(s56lp0 j*exuh in the system's mass m.)

  Increasing the mass M of a mass-and-spring system causes what kind of chanr*q 0cij ;fgc;a- j,ypge in the resonant frequency of the syst0cc f qr; p;gja-yj*,iem? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a 5knwwyf)m:i+j,u7z m mass-and-spring system causes what kind of change in the resonant frequency of the system? (Assumjmky+n ww:i ,)57zfume 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 attnd;gx2 ;7i u(y2: pxbu (edjykached to a weightless string of length L. For this system, when undergoing small oscillationjdb ixkun; x( ;72p(y:e2gudys

  When the mass of a simple pendulum is tripled, the timec4,jz z ae3fg8 m(b.xl required for one complete vibrationj8lz,egm4 z caf(xb3.

  Both pendulum A and B are 3.0 m long. The period of A is T. Pendulumxyjwf9v *aw(d:n (3 .n gxzah- A is twice as heavy as pendulum B. What is the pa*xn h -(agj d.z3w9(n:xyfvweriod of B?

  When the length of a simple pendulum is triplexbrfcsw3l75b. hj1q 59w koaaep )28wd, the time for one complete vibration increas.15hol985pqkfe 7 )casw 2jwb3x bw ares by a factor of

  What happens to a simple pendulum's frequency w 5; dmxn9jnx;l .b*qjif both its length and mass are increa9wj n *bqd;ln ;x5mj.xsed?

  Simple pendulum A swin bc8w7pqxpu li-as5,+gs back and forth at twice the frequency of simple pendulum B. Which statement is corp-u7+slxcq aiw b5 8,prect?

  If you take a given pendulum to the Moon, where the accelerati mp0kvc,m6i*br/c m)o 3eg ez:on of gravity is less than on Earth, the resonant *r,0c3:6)zimc b mo eek/gmpvfrequency of the pendulum will

  Curve A in Fig. 11-1 repres y*axoym(ap* g.(y 6tvents

  Curve B in Fig. 11-1 reprvi.*)pm m;tytesents

  Curve C in Fig. 11-1 rebg5xir 1k5 k wfscm0yvjg ;(-)presents

  For a forced vibration, the amplitude of vibration is found to d9y 7lo msvax22;kf9 rqepend on the

  In a wave, the maximum displacement of points of the wave from equil+ql n;lwr 3n5tibrium is calt3;q +nwrln 5lled the wave's

  The distance between b*g. x(lac1t9c xx b,lsuccessive crests on a wave is called the wave's

  The number of crests of a wave passing a point per . d2xqsxm y;y4wh/,ii2 gndg 1unit time is called the wave' ni/, iw1ym qhd24xsd gxg.y;2s

  For a wave, the frequency times the wavelength is the wave'sv6) (6xur5uibfx7 u9dkb 3 ryg

  The frequency of a wave increases. What happens to the distance between succel gg41((h+z zhgh+tressive crests if the spg+hzg t l41e(rzhgh(+eed remains constant?

  A wave moves on a string with wavelength l and fre: qwsfi 0,necs7nsk r62v2i q.5,ud tmquency f. A second wave on the same string has wn7 q6s.v q:fdr50i,n 2ssct,iwmk2euavelength 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,8+ *8-it2ge c/iisvuo cnyo-u and tension T. A stand8v/8-+c*gio iytuins2 ceou -ing wave is set up. Which of the following is true?

  A string of mass m and length L is under tension T. The speed of aej *kh 4,9gmg3s. vrdy wave in the string is v. What will be t 9gek.dm* hj3r4g ,vyshe speed of 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 length L is under tension T. The sphm/p 1at72 i--q:s1;9w xkugryq mp eteed of a wave in the string is v. What will be the speed of a wave;1rag 1u- /x y7t kwqe9sm:-hqi2p ptm in the string if the length is increased to 2L, with no change in mass?

  A string of mass m and length L is ;ht1 f r/sm/ayxy s+hvhqv 62)under tension T. The speed of a wave in the string is v. What will be the speed of a wave in the strin)qa6m/vy fsyr2 +h x/ v;hhst1g if the tension is increased to 2T?

  In seismology, the S wave is a transverse wave. As an S wave travels through tt:dy4 ob 1t)myhe 4 )ombt:1dy tyEarth, the relative motion between the S wave and the particles is

  In seismology, the P wave is a longitudinal wave. As a P wave +wpc fdn j:8ec 31g aneb us+va.hf/+4travels through thn1facvgn c3fsaeu:d.+4/8 ehb+w j+ pe Earth, the relative motion between the P wave and the particles is

  The intensity of a wax6z+y k bq t0d;-t(mpda8xg e8ve is

  A wave pulse traveling to the right along a thin cord reaches a7ll/qlk7g 1tdf v(0 t9w*ayay w94kol discontinuity where the rope becomel af(l914lq/tkgtk7wdwv70y*y ola9 s thicker and heavier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each other td9t-r 3(4zv3qg7-nrtn f suv on a string, one is traveling toward the right and the other toward the left. At the pois-4v qg7-9zr(nt 3ftrt un3v dnt that they occupy the same region of space at the same time

  Two wave pulses pass each other o9gjs v :7.klippj-79 z vmx)tcn a string. The one traveling toward the right has a positive amplitude, while the one traveling toward the left has a97gv:j-j)ltc 7.ikspxm v 9zp n equal amplitude in the negative direction. At the point that they occupy the same region of space at the same time

  Resonance in a system, such as a string fixed at)* ny z/vdy ;fo5a1egu/ sso+q both ends, occurs when

  If one doubles the tension in a violin string, the fundamental freque+uyk 294bjix zt1 ncu :0fzkg/ncy of that string will increase by a factor nuzgyb1/2+94jz 0u t:kc ikxf of

  What is the spring consj1 ,m7,ccxvc: wsun,2l*2wez o o 1kqetant of a spring that stretches 2.00 cm when a mass of 0.600 kg is suspended f: xwks,e ,c 1n 1zqeu2c*jw 72olo,cmvrom it?

  A mass is attached to a spring of spring constant 60 N/0ojot)t ;t6 oa01f2g e)rweer m along a horizontal, frictionless surface. The spring is initially stretched by a force 02eotg) ja;r1 0eor6ttwe )of 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 ce(f2 vlv2g b9lg010uegkmd(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 position when it is oscillating. What is the pmf b c(0vgll gek2g29(e0vd1ueriod of oscillation?

  A mass is attached to a spring of spring constant 60 N/m along a horizontal, fri:.xu-;ts xtp+xsj2gaq q ne13 ctionless 3 u n2sj.x1xqa:sgq ; ept+xt-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 oscillation?

  A mass on a spring undergoes SHM. It goes through 10 complete oscilsy.u nwi r,b++lations in 5.0 s. What iy+,.s r unbiw+s the period?

  A mass vibrates back and1rte8 domx++ : dtngeu )i-n)q 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 eqgni-te+ txdd) m 8ueo1n: r)+nergy of this vibrating mass when it is 0.30 m from its equilibrium position?

  A 0.50-kg mass is attached to a spdvh h80 wum,j;b 5m+xtring of spring constant 20 N/m along a horizontal, frictionless surface. j5hm d+ 8;xvmuh0b wt,The object oscillates 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 t*20le tj uhwgbg50 7 zb3ys,ggime. The mass is cut in half, and the system is again set in motion with amplitude 4.0 cm. zw70b y53g gujge2*ts0,h glbWhat is the energy of the system now?

  A 0.50-kg mass is attached to a spring of spring constant 20 1d5bd yoa7w-bN/m along a horizontal, frictionlo-a d5 17dbbwyess 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 attached to a spring of spring constant 20 N/m alonrkqcb -;7 b lr:xgdt31g 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 what location are the kinetic energy and the potential en- qt;bx kgcdbl37rr:1 ergy the same?

  A 2.0-kg mass is attached to the end of a horizontal sprie d b9s3o60)txm1c/nw.u rl bcng of spring constant 50 N/m and set0)9b cs/ cmn. rlxw3b6 e1oudt into 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 of a horizontal spring o-ow*do rsd9vnvw3h3k -si(yzz n q5 53f spring constant 50 N/m and set into simple harmonic motiows v--hyk5n*wd5dq3s noio3( zz39 vrn with an amplitude of 0.10 m. What is the total mechanical energy of this system?

  A mass vibrates back and forth from the fr4uh 1l*v/x ppeee end of an ideal spring of spring constant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kinetic energy olx4ue hv/p 1*pf this vibrating mass?

  The mass of a mass-and-spring system is displaced 10 cm (roq u;zz3 a5); jrravfrom its equilibrium position and released. A frequency of 4.0 Hz is observed. What frequency would be observed if the mass had been di3;rqj o)rz ar5;(uavzsplaced only 5.0 cm and then released?

  A 4.0-kg object is attached to a spring of spring constant 10 N/m. The object ig- d(0azmbls0bup leig*+nz9 j1u)0ys displaced z1yz+ eb0*pud9u j gm0bsi g)nall-(0 by
5.1 cm from the equilibrium position and let go. What is the period of vibration?

  A 4.0-kg object is attached toy*sgjd gmsc 9gtom 1s/z95)l- a spring of spring constant 10 N/m. The object is dic9 mgolsd)s jsy9*gm51t/g - zsplaced 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, displibb ph 2umu(+j lrj5.cq() d(naced slightly from its equilibrium posu)ml(+jj.(hcpubd2q5( bni r ition, 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 di/wsi ysw8 o4i-ssrs)4 splaced a distance of 2.0 cm from equilibrium and released. Whass- ys8roi4s4w w)i/s t is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to different springs.a; vkju in,8ttq5bmh 2pe c6 i 0l(g3xlo;9b0u Mass A vibrates with amplitude of 8.0 cm at a frequency of 10 Hz and mass B vibrates with amplitude of 5.09x0(lac0g nh 6jqiu o;lmie3kp;uvb b 2t,t58 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 stretches thmw ;fn6wlp. p)e spring 2.0 cm downward. The mass 6)fpw wnlp;m. 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 v)3 :tbus2o p3j0pfb7: dpblr on a spring. In equilibrium the mass stretches the spring b)7d2plbbjr pv o3u:p: 3sft02.0 cm downward. The mass is then pulled 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 equilibrium the mash :pxmm:,sio+ 2li)tj s stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cmxlp ih,:2+ ojmst:m)i down and released from rest. Write down its equation of motion.

  An object in simple harmonic motion o4t/vt6m qgsl2j(mjz6o 4oqd7beys the following position versus time equatio gmzj/q(sm6do 46 74ql2vjtt on:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys th4;*e ifp0vdhc auy05ce following position versus time equation:uce0 v5 a;di4hcfyp0 *
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following position ver1yh 71 iu bp-05w *,uyj ggwtjlu-wyj)sus time equationp5-1yuug,1 yy hl0iw-7uw * bjj)jwtg:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple yekpuw b y2y5 :a6b/z3mywr,z* +qy d8harmonic motion according to the e3/zy6:yuw*m2,5y +ak wyd 8ry bebqzpquation $y = 0.50 \; \sin (18\pi \times t)$ 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 i1-xgemq9 pved(5j)e of 20.0 N/m oscillates on a horizontal, frictionless track. At t= 0,ev9x(g 5)qi dp-ee1 mj the mass is released 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 qngi/:ftve/ (ny)/ykc-g. ylcomplete swings in 8.0 s. (a) What are its frequency and perigf(lkg/-eyc)nqyynt/ . /i v:od on Earth?

  A 3.00-kg pendulum is 28.84 m long. What is its periodkut-gj2ef17t)zb7 iyo . gih) on Earth?

  A pendulum has a period of 2.0 s on Earth. What is its length? , jn 7bk44/0uqj,bedftt gl iq6gwr,:

  The pendulum of a grandf:6g.u(6h5 lmijc fgw ejjl u7 fqi1y-/ather clock is 1.0 m long. What is its period on the Earthw l u/.fl j j6uficghm -1(6eq5yji7g:?

  The pendulum of a grandfather clock is 1.0 m long. W6 cd4ipav5y 3phat is its period on the Moon where the acceleration due to gravity is only pdc4i6ay3 v5p$1.7 \; m/s^2$?

  A simple pendulum consvv:0ixia6 i/qists 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 would have resuiq/i6:i vaxv0 lted if a 0.50-kg mass (same diameter sphere) had been attached to the string instead?

A simple pendulum consisting of a 20-g k e1qtibt*lr13rt+ t*mass has initial angular displacement of 8.0e. It oscillates witr 1ilk*t3rtb e1+t*tqh 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 of 2eiv.fp)3v ot:,z ljrtni.k0 the wave is 120 Hz. What is the ampl 0j.or tfizv2k,.iet :lpv3)nitude?

  Figure 11-2 is a "snapshot" of a wave at 4m0uq-.s)gflpfx+jgb bd ) -n a given time. The frequency of the wave is 120 Hz. What is the wavelengpbqd4 + gl)ux-m-s0.bn f g)fjth?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency of the wav1 hdpcryvia vv+y+1gn v0w(1 +e is 120 Hz. What is the wave speed?h p+cgv1r+w1(10d i +ayv vynv

  What is the frequency of a wavengwy+uhd(p8n.wd2z:0p o1 ed which has a period of 6.00 ms?

  What is the period of a wave with a frequency of p nkv.jc6+w3irb 2ry81500 Hz?

  What is the wave speed if a waveljcs :ec9j q78 has a frequency of 12 Hz and a wavelength of 3.0 ms 7jcce8l:j 9q?

  What is the velocity of a wave that has a wavelength gbuq/ch1b,y zf s+z(p/o7rzhgo(i0 8 of 3.0 m and a frequency of 12 Hz?z (b/gihuo hpz(f q8c+/7z1o0s,r gby

  What is the frequency of a 2.5 m wave traveling at 140j 7i+v g:l q7z6i-hdfn0 m/s?

  A piano string of linear mass density 0.00l csj.f , gkn c5m(n4km30ktq0td-xj;50 kg/m is under a tension of 1350 N. What is the wavqj3nnckmkgs5xk04 jtf- . d;(0m, ltce speed?

  A string of linear density 6.0 g/m is under a texy9s)* zg/rvp 6 jl/xunsion of 180 N. What is the velocity of propagation of transverse waves alo p jsyrgu/v)lx*/ xz96ng the string?

A wave whose wavelength is 0.500 m is traveling down a 500 m lon20zvj alh1 4z kipm*wjf:t 5*rg wire whose total mass ik jrz i2wf4 ljvh0mz*:p1 a*5ts
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 string q okw :a69.hhb48eu zmk tm33lfixed at both ends is 200 m/s. Which one of the following is not a resonant frequency of thisl4z 8h:o.ktmukw63h qb9 m3ea string?

  If a guitar string has a fundamenta p 6rqpoclf3 lb-) ;4mcqb.qf3qbh7 d.l frequency of 500 Hz, which one of the following frequencies can set -3qdbc7 c . h)bo;3b46mqpr llpqff.q the string into resonant vibration?

  A stretched string is observed to have four equal segments in a stanj pni9vc clzb4xxw 2gy-a,0);g3ss (lding wave driven at a frequency oxc(sc y)n bv94,3gx szwla0p-i2 ;gjlf 480 Hz. What driving frequency will set up a standing wave with five equal segments?

  A string, fixed at both ends, vibrath , m0rrv:ll5lx ozo/io1kb,6es at a frequency of 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency is neolo zrbml56l1vk0o i,x: h/, reded if the standing wave pattern is to contain 4 loops?

  A string of linear density 1.5 g/m v.y hg5*8ks. ctltir,is under a tension of 20 N. What should its ly g c*tkl hiv.,5s8.rtength be if its fundamental resonance frequency is 220 Hz?

  Find the first three harmonics of a string ofv(2p fodif0p :hps bh,b4gq33l4a1mc linear mass density 2.00 g/m and length 0.600 m when it is subjected to tension of 50.0 Ndspb1c4l4i3f ovp 20(m3fgp:, bha q h.

A string of length 2.5 m is fixed at both endjo f3arlsyodgi: /o0 jp; 0y n.9.b9sos. When the string vibrates at a frequency of 85 Hz, a standing wave with five loops3nf9y ob.ypjoa;so/olrj:g s0.9 i0d 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.