The time for one cycle of a periodic procetmk(omk+ 9-ps)o/ ced ss is called the

  For a periodic process, the number of cy o p1p6g+23h3djonplwcles per unit time is called the

  For vibrational motion, the maximum displacement from t/8g6g6 wb ynple+z5e bhe equilibrium point is callyeeg6w lb6+ bz5 /8ngped the

  A mass on a spring undergoes SHM. When the mass is at its max/g ywes*to *qkfb;;t3lrsu67g t5ov27 he/m cimum displacement from equilibrium, its instlsgt/5sc 26 ; oou** 73/t vtrykq;hfge mwe7bantaneous velocity

  A mass on a spring undergoes SHM. When iix cf.9n0 1-yvw2xp hthe mass passes through the equilibrium positio n0h vfiy9-xwicx. 12pn, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass is at maximum displacement fromrq7 qn0x0ue*emo+8 d,y (ej vs2si;tc equilibrium, its insyoqmv0eu * + e;, qc nr8x(j2id0s7esttantaneous acceleration

  A mass is attached to a vertical spring and bobs up and down between poz9*a p-,uvbc dints A and B. Where is tbv,*dpz -9uac he mass located when its kinetic energy is a minimum?

  A mass is attached to a vertical sprinr/9 sbra 0w2tng and bobs up and down between points A and B. Wher / nwsrtr2ba09e is the mass located when its kinetic energy is a maximum?

  A mass is attached to a verticayte 4ee63 br)lgt; .hkl spring and bobs up and down between points A and B. Where is the mass located when its potential energy isyh3rg;ee tlktb.4)e6 a minimum?

  A mass is attached to a vertical fqerbu*, p6/;lygkhn/- or jcimhfr(0*n*. uspring and bobs up and down between points A and B. Where is the mass located when its potentrr.l( ik f*u np*hef-r/ ub ;gcj/h*y60qnmo,ial energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-spk pd1dti o,0k)ring system produces what effect on the system's mechanical e d,p)0kot kdi1nergy?

  Doubling only the mass of a vibrating mass-and-spring system prod,dxee6 :offxm suxav8g4:z90 uces what effect on the sysuvxzxs f,ee64x gf8:oma:90 dtem's mechanical energy?

  Doubling only the spring co+rw *txf9mteo 8p:; tto: vz)vnstant of a vibrating mass-and-spring system produces what effect on the system's mechanical ene *txoof:w)mttpte v+r8 9v:;zrgy?

  A mass oscillates on the k ,e-(tmj hj h-lps1k*(naoc6 end of a spring, both on Earth and on the Moon. Where is the period the greatestpkc*j-j 6kn es(,a1tlo-hhm( ?

  Increasing the spring constant k of a ma9 /l)bq +ww 47wuhvf(jcmpn6s ss-and-spring system causes what kind of change in the resonant fr( p 9vlcb)fqhmn ujw+7/4 w6swequency of the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-andq,brj52u )f g4bdis/g-spring system causes what kind of change in the resonant frequency of the system/d,su 4qg2g5ifjb) r b? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring sysu -dz9 cap/-4qwmxce ;tem causes what kind of change in the resonant frequency of the system? (Assume no other changezdqw/-x a;euc 9-m4c ps 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 strio+f, v:)ms6 , ygmzwurng of length L. +u6ms:mfr wgov,)y,z For this system, when undergoing small oscillations

  When the mass of a simple pendulum is tripled, twn 9j9:s7:n5x0yn bywwrb ; yghe time required for one complete vibrb59nj b s w 0y7yr:;wgw:xn9ynation

  Both pendulum A and B are 3.0 m lon n1a9 ef(u,z0t xp.wpng. The period of A is T. Pendulum A is twice as heavy as pendulum B.u(ftaw9z0nxp,n 1ep. What is the period of B?

  When the length of a simple pendulum is tripled, the time for one o 6vl 18 9qwy:d6d;wdyiid8nh complete vibration i16 hi 8;iwdw9ddd o:yv68 nqlyncreases by a factor of

  What happens to a simple pendulum's frequency if both its length anqh n 0br.w70wujsivwxvn3 (auk jag 21402h1a d mass are increasedkj v0uh7x0u1i13 wqj 2r b (wwvn a0agshn.42a?

  Simple pendulum A swings back axf0 agxj *s(joee;vpn;:p)q)l(b+ sf nd forth at twice the frequency of simple pendulum B. Which statement(s+0f: jxl);pejo*fa gbx;qe) ns(p v is correct?

  If you take a given pendulum to the Moon, where the acceleration of gravity is t xeor0zf 5j+ ((1dbpzless than on Earth, the resonant freq p0dr(z( jo+51fexbz tuency of the pendulum will

  Curve A in Fig. 11-1 reprsmf15-g4w,gsbdero8sk )d ) aesents

  Curve B in Fig. 11-1 repre a(ixvq*we:*4 (ngvu 6izs,fvs 2nxd.sents

  Curve C in Fig. 11-1 represe;9cghh; y9ku;zkb/+kzg( my-i eya z0nts

  For a forced vibration, the amplitude of vibration is foun v--v/avqxc b a4k3ilw0z ,9tbd to depend on the

  In a wave, the maximum displacement of points of 3ud.2+ vthx3vot kfu:the wave from equilibrium is called theuh dtov 2tf3k+.x: vu3 wave's

  The distance between success;a op6vq p6n1c0le.zjive crests on a wave is called the wave's

  The number of crests of a wave passing a point per 5o e .ihdz2,5mpmbh ny63cy: vunit time is called the wave',cnmez5hp325m b yv :yoih.6 ds

  For a wave, the frequency times the wavelengeq7gd:c. k edfqeem9 599)njgth is the wave's

  The frequency of a wave increases. What happpg30t rz0rfx n)bz++ 0a3p ttpens to the distance between successive crests if the speed remains con zpt )bgr+tprf0p3xtz030+na stant?

  A wave moves on a string with wavelength l and fr wu1v epj6 czu9x60hi0br.d.pequency f. A second wave on the same string has0puv69z 6pir.ujd ec0bw1 xh. wavelength 2l and travels with the same velocity. What is the frequency of the second wave?

  Consider a traveling wave on a string of k:5a;h y,erh ;pt x:zqlength L, mass M, and tension T. A standing wave is set up. Which p;hazt erhqxyk:5:; ,of the following is true?

  A string of mass m and len4c ol)+4rhxr.64ec bhlgv -sjgth 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 strc44)v hrj+4bxshog .c r6l-eling 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 z5(aq.;hk no9c;f)vg r fs(-.br tjqvwave in the s.fkat f5(sgqv n.qbo9h-rj r)( zc; v;tring is 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 anuy03f,n rd vrht2.n 2pd 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 tension is increa02vd2 ur.3r nnypf ,thsed to 2T?

  In seismology, the S wave is a transverse wave. As an S wave travels throuc 7kw1mry c:3vgh the Earr :1ck7ym wc3vth, the relative motion between the S wave and the particles is

  In seismology, the P wave is a longitudinal wave. As a P wave travels tt0 bopqyghx7v44 q-t (hrough the Earth, the relative motion between the P w t04 opy4qxgtvh-b7 (qave and the particles is

  The intensity of a wave isw r1b0pl z/bbzvc4), 8s/zieh9 pm ho/

  A wave pulse traveling to the right along a thin cord reaches a discor+- ktdodb9*txzm62 :/bi rmqe /w exw8g:o*jntinuity where the rope becomes thicker and heavier. What is the orientation of the reflected and 8mdtzj9/dmqo:kw x*b2*r/6ixee -ogbtw+ :r transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each other on )cr2 4x fidkt4a string, one is traveling toward the right and the other toward the left. At the point that they occupy the same region)fc2i xr 44tkd of space at the same time

  Two wave pulses pass each other on a 37ho 84w/u.xn)hm c3rqtkttsstring. The one traveling toward the right has a positive amplitude, while the on tt3c 7hns 8xtqhmu.)rw/k34o e 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

  Resonance in a system, such as a string fixed at both ends,(hm:71.k k f(huk a4oczm4o/eb v v4yo occurs when

  If one doubles the tension in a violin string, the fundamental frequency of thatdndsme r78p,0 string will increard epn0m7, sd8se by a factor of

  What is the spring constant of a spring that stretches 2-2bs yxk( sb3i.00 cm when a mass of 0.600 kg is susp (2bxsskby-i 3ended from it?

  A mass is attached to a spring of sprnhch.9we 7dy :ing 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 we9ny: . hcd7whhen it is oscillating. What is the amplitude?

  A mass is attached to a spring of springc0m*:dt su*dhz 1j wom1or33 s constant 60 N/m along a horizontal, frictionless surface. Thu 3*cshddo13 zwtoms: j*0rm1e 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 period of oscillation?

  A mass is attached to a spring of spring constant 60 N/m along as.rw93n u 3gga;w*moo horizontal, frictionless surface. The spring is initially stretched by a force of 5.0 N on the mass and let go. gsg or ;3o.*wnma9w3u 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 oscillations in2ats(8on *gyiaid*h 0 80*ti;rt ic1 mzf.q np 5.0 s. What is the per1ay*h8 .pt n( 0 no*gqc*idi0mizfi2s8t ;ratiod?

  A mass vibrates back ax*biu)bvcl)s- 9wx t k/3vc/nnd forth from the free end of an ideal spring of spring constan tv) )/39 bbn/i v-ck*xcluxwst 20 N/m with 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 attached to a sprin50c)*j uln 8sj0gjo n9-dsy img of spring constant 20 N/m along a horizontal,n*djg- o0su)s9nl0i8 5jmyc j 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 total energy of the system?

  A mass undergoes SHM with amplitude of 4 cm. The energy is 8.0 J at tfplbjhyz *6mph 9g3*y6f ye88his time. The mass 63 m9jefphy6*8 hpyfz*8y gl bis 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 pnxl 1i5is8ku4:;0ci3n.udmdhg3d z a horizontal, frictionless surface. The object oscillates in simple harmonic mm4dxuic0h glp z. 1i s83dnkdn3i: u5;otion 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 N8d:ho ue fiq/uw +he-(h5 +fde/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.e(+we h + h/5e ufi:q8du-ohfd At what location are the kinetic energy and the potential energy the same?

  A 2.0-kg mass is attached to the en,wfc 3kua: 7mqd of 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 u3 7kawq :,cfmthis system?

  A 2.0-kg mass is attached to the end of a horizontal spring of spring dp 5)ezcw r+qyc7:c6i constant 50 N/m and set into 6:r+5c qiczeyc7dp )wsimple harmonic motion 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 idsgpxe/; kox zw0x 6.2deal spring of spring constant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kinetic energy of s p2z;xo60w edx./xkgthis vibrating mass?

  The mass of a mass-and-spring system is displaced 10 cm from ideqydnax qx/9oxt* +8 0w5j- ets equilibrium position and released. A frequency of 4.0 Hz is observed. What frequency would be observed if the mass had beex+nqex*dto 0dw-q x59a8e /yjn displaced only 5.0 cm and then released?

  A 4.0-kg object is attached to a spring of spring constant 10 N/m. The obcl pjpb i(c30-ject is displace(pb 0pi-c3 cljd 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 10 N/m. mw9 )u;ylrnkb0xo 3. k: fuk6c The object is dx63y)9c u mo;bl:0fkkn kw.ruisplaced 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, displjkbz74 /q9c tgaced slightly from its equilibrium position, and released. What is the frequency o9 /7z 4cbtkgjqf its vibration?

  A mass is attached to a spring. It oscillates at a frequency of 1.27 Hzrprp:;lqik ;g3 4;,uxqhb9 x-tm kuz 8 when displaced a distance of 2.0 cm from equilibrium and released. What is the maximum kux xq ,zhrm;i8-:t lprg4;k qb3u;9p velocity attained by the mass?

  Two masses, A and B, are attache:3j v/r(,kcdllciqoi1 *v yh0d to different springs. Mass A vibrates with amplitude of 8.0 cm at a lc* r ioj,ckvvq/iyl01 d( h:3frequency 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 equilibrium the mass stretchayu8gf nccgim ) -(m++es the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down an+u fya gn+8)( miccmg-d released from rest. Calculate the period of oscillation.

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass stretchesiqj i8 c epq)6rbm ix23,ro(-m 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 tota, mr2ebicior6() p8iqx3-jq ml energy of the system.

  A 0.30-kg mass is suspended+xjlly*kkt)9 y:cp 2ttye 5g3 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 released from y pk+5xtc) 39*lyeglt:t yk 2jrest. Write down its equation of motion.

  An object in simple harmonic motion obeys the following position yrb1 o+ li-d9sr5zvw) versus time equati-zsy+1vrbo 9d iwr l5)on:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obey888o hw o)oyu kggh 49hkhl 4zak.y9f.s the following position versus time equ 9oh8489hwkgz.huykko.ga o8l)hfy 4 ation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following position versus time jwzq+r//6;ixz,,urz yqfs 7 uequatio uyz 7r/,,x+su;zq/wr iq fz6jn:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple harmonic motion aq3 u(- vu8+re7mg fttlccording tv u7re8+3qtm -uf(glto 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 constant of 20.0 N/m oscillates os-:mh :fwdn(em4r96 omlb :o w 5wwal*n a horizontal, frictionless track. At t= 0, the mass is released from rest at x= 10.0 cm. (That is,fna o wb-* ml4l es(w96mh:w m::ordw5 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 fre jkd8bdf./dp ;quency and period on Earthdf8d.p/d jb;k?

  A 3.00-kg pendulum is 28.84 m long. Wwh-p. u6y5 8wur5 hbdchat is its period on Earth?

  A pendulum has a period of 2.0 s on Earth. What p*2n a +a*mapmis its length?

  The pendulum of a grandfather clock is 1.0 m long. What is its pej u,* ib57lmck3-wfa ;*l lwozriod on the Eakml,cfll5 zo-* ;*37auiww jbrth?

  The pendulum of a grandfather clock is 1.0 m long. What u8 ;gdpe2j-q,x :osewr 4-fexis its period on the Moon where the acceleration due to gravity is only f4j;8rxedgx: -2qew o-pesu , $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical massc-h t1i7a l7nj attached to a massless string. When the mass is displaced slightly from its equiliai 7ln7-j1ht cbrium 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 20-g mass has initial83lvcz jl,hyg m7 -q3r angular displacement of 8.0e.vg cmj78qh-zy,r 3l3l 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 "sna3bc 3n,zshftuu968 + +whtgm qpshot" of a wave at a given time. The frequency of the wave is 120 Hz. What is the ampltzuhu ,n39stqc 6 +w38 mg+fbhitude?

  Figure 11-2 is a "snapshot" of a wave at a given tit;g 3jl:fhpq k +ld0++zj hdn,me. The frequency of the wave is jd 3p:j+n k+t+0 ldhqz l;,gfh120 Hz. What is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency of the w.) dbweg;o:toli: 2nxave is 120 i go)ew tdbx :2;lon.:Hz. What is the wave speed?

  What is the frequency of a wave which has a period of 6.00 mumh4rx -*qcm3oinim.;n ;f;os?

  What is the period ofn2k:f )bidb 2xutgmrd f+i7- * a wave with a frequency of 1500 Hz?

  What is the wave speed if a wave ubc1xx- r0r u8has a frequency of 12 Hz and a wavelength of 3.0 m?bx1r -0uc 8rxu

  What is the velocity of a wave that has a wavelength of zdc x - 5agzuq(37wi4s3.0 m and a frequency of 12 H 3ai 5wgsxz z4-cdq7(uz?

  What is the frequency of a 2.5 m wave traveling at 1 v).siim wqae7*fs xrff32o v+bq/m11400 m/s?

  A piano string of linear mas rk)n na.,q*-opqdi4q 4oll n2s density 0.0050 kg/m is under a tension of 1350 N. What is qlqid)o, ro4pknn .4n 2 l*-qathe wave speed?

  A string of linear density 6.0 g/m is uic v6adt 8vs8*td pm0b 8ph/n(nder a tension of 180 N. What is the velocity of propagap 6/8dt8nvadv8mtiphs*0 ( cbtion of transverse waves along the string?

A wave whose wavelength is 0.500 m is traveling down a . f1dw57itsb s6z/bch 500 m long wire whose total s.tdz6bsh/ 175 c bifwmass 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 arc.o7iv s)/ rjfd h0u* 2.0-m long string fixed at both ends is 200 m/s. Which one of the following is not a resonant frequency of this stjor f/d*rc. u 7s)ih0vring?

  If a guitar string has a fundamental frequency of 500 Hz, which one of l( mt99* tpxb rjy;qs*the following frequencies can set the strinstm tr *9lx( qb9*;ypjg into resonant vibration?

  A stretched string is observed to havy47 )a o/xb4np13nqhk y h65ad.rmt fr:om0n ve four equal segments in a standing wave driven at a frequency of 480 Hz. What driyybn 4k0a rom )m.7d5:p31faq v6 hrh/ 4nonxtving frequency will set up a standing wave with five equal segments?

  A string, fixed at both ends, vibratde k s+kepvt,i5ri 62,es at a frequency of 12 Hz with a standing transvers,k rke+itdp 6v2s e5,ie wave pattern containing 3 loops. What frequency is needed if the standing wave pattern is to contain 4 loops?

  A string of linear density 1.5 g/m bgizbgo( 05y5 is under a tension of 20 N. What should its length be if its fundamental resonance ig0z gyb55b(o frequency is 220 Hz?

  Find the first three harmonics of a string of linear mass density 2.00 zl7hg5s3r b l 1j46t;p.pd+pido3z m vg/m and length 0.600 m when it is subjected tvt; 1si zljlrp5g6od d. +h373pmz4bpo tension of 50.0 N.

A string of length 2.7 p6vn4km8bavoi p-7g5 m is fixed at both ends. When the string vibrates at a frequency of 85 Hz, a-8p 6in774 ko avpmvgb 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.