The time for one cyclewq;y8kz k1 *xm8jpg-s of a periodic process is called the

  For a periodic process, the number of cycles per unit time is c-ij:4pyb wti5y;0l yk)f5 msialled the

  For vibrational motion,prfwp z9(vi87;u2e ud the maximum displacement from the equilibrium point is cv8df9i up ;7puwz (2realled the

  A mass on a spring undergoes SHM. When tkrbvt -:,gsd0 he mass is at its maximum displacement from equilibrium, ,dg0 -:rsvkbt its instantaneous velocity

  A mass on a spring undergoes Szaaaqf7l;n d1nfrt6x+ 5 m0v /HM. When the mass passes through the equilibrium position, its iz01l;5m/ fda7 r+ an6qn favxtnstantaneous velocity

  A mass on a spring undergoes SHM. When the mass is at maximum d1i lsuhpt)je,l ;o2e(isplacement from equilibrium,) e;( 2she,lljup1i to its instantaneous acceleration

  A mass is attached to a vertical spring and bobs up an; 6 3elui90lz.auzvard down between points A and B. Where is the mass lor6a3zlu0.ae vuilz ; 9cated when its kinetic energy is a minimum?

  A mass is attached to a vertical spring and bobs up;: 5pda)eehi +y31e hfl9pfy t and down between points A and B31d f)ile;y ytp5fap:eh+he9. Where is the mass located when its kinetic energy is a maximum?

  A mass is attached to a verti.ig:d+zc. f* m0y sbvgcal spring and bobs up and down between points A and B.f.*d vzgm+b yg.0: isc Where is the mass located when its potential energy is a minimum?

  A mass is attached to a vertical sprr +shk4a 7unky9h (:kuing and bobs up and down between points A and B. Where is the mass located when its potential energy is a manuhrh(9 +7kk4 ka:ys uximum?

  Doubling only the amplitu nj0a/m3m()s2rzrv5d(g q9d qv;5d k 7s dwnxxde of a vibrating mass-and-spring system produces what effect on djm van2g( rr;)9xmq 0s/(swdqdvdxz 3 55nk7 the system's mechanical energy?

  Doubling only the mass of a vibsdo1c-dil a6tc-/ 3abrating mass-and-spring system produces what effect on the system's mechanical easci 3 o1bta6/-ld-cdnergy?

  Doubling only the spring constant dfz 8 (,d.ajvjof a vibrating mass-and-spring system produces what e j8djvf,z.a(d ffect on the system's mechanical energy?

  A mass oscillates on the end of a sprk,l.y b*tg 2; xuw0yuez2h )tving, both on Earth and on the Moon. Where is the pey0 vz th x2*kt,uw.y;elu2g )briod the greatest?

  Increasing the spring constant k of a mass-abh qj9kc1 /,zm.ewz p)nd-spring system causes what kind of change in the resonant frequency of the system? (Assume ), qwp1 9mke.bzzj/chno change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system causes what kindxy0o8 n6 xoa. sckgh:gxs7+xd .pc8p1 of change in the resonan.d8 xygh s:x + px.8cosapxcn16okg07t frequency of the system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system causes what kind of change a4/uofk 8y;l-k;nuxjin the resonant frequency of the systemux/u8 4j;yko; f-n lak? (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 a mass M attached to a weightless strine ivsdk4qjd0bxf-j0+usu; .- p9p lpv;1rkb)g of length L. For this system, when undergoing smax;+i- e4jv s) 0b-bdqu l.rs;kv0p upp1fj9dkll oscillations

  When the mass of a simple pendul9,zyfqyuloslok .k+1sf/g4+ um is tripled, the time required for one complete v+/sqklf 4z9,uoys+ 1gky.lof ibration

  Both pendulum A and B are 3.0 m long. The period o tu))1v+ziwmq si3y3lf A is T. Pendulum A is twice as heavy as pendulum B3sii+l)u1ywm zqtv3). What is the period of B?

  When the length of a simple pendulum is trioh4gk(pyofsgb2.mgmtw*-d j5 6 m2 b: pled, the time for one complete vibration in2b5:smt6w hoymb*po4g(mg .k 2f j-gdcreases by a factor of

  What happens to a simple pendulum's frequency if b 9qfr,z (dvn6o9jfmd1oth its length and mass are increasezjd9vo9fdm(n ,q61 f rd?

  Simple pendulum A swings back and forth at twice the frequency of simy f3jdy;sdrrx3gh a/v( (+b3 eple pendulum B. Which statement is correc3(brayjr/(;3hs + vef gdy3dx t?

  If you take a given ixex,5x2z9f9hxm* u ydsj 1lv/zb;c )pendulum to the Moon, where the acceleration of gravity is less than on Earth, the resonant frequency of the penduluy*;zs5v,uj)he9/i9lxcf z 2x1bx dmx m will

  Curve A in Fig. 11-1 retxx+k 5o3a y noqx -z92)0bbncpresents

  Curve B in Fig. 11-1 repre;t* 2r ses2rahsents

  Curve C in Fig. 11-1h1 (kpud.2ux d represents

  For a forced vibration, the amplitude of vibv6 1 h2elg.ivxration is found to depend on the

  In a wave, the maximum disrf. eo.6er3tf placement of points of the wave from equilibrium is called 3rter.f fo.e6the wave's

  The distance between successive crests on a kwsg5 us2u989xd ;9y/m dfetfyz b2p.wave is called the wave's

  The number of crests of a wave passing a pointpudn:f8yh2zvlf 937yx b(.wa per unit time is called the wave'dlyav98y wp u xh2.bf7n (:f3zs

  For a wave, the frequency times the wavelength is th;q xkb,5nu (fsguh4 5rc 18h*kdrc gj1e wave's

  The frequency of a wave increases. What happens to nxwaq3d7 2-hlka5:u v the distance between successive crests if the speewvl d5ahkxn3:7- ua 2qd remains constant?

  A wave moves on a string with wavelength l and frequyqy/ vfg-10 b c-/*n3a yslpleency f. A second wave on the same e/ cv-ypayblf0 *-1lg3ysnq /string has wavelength 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 9 wu.-b(plxig M, and tension T. A standing wave w .pilb 9(gux-is set up. Which of the following is true?

  A string of mass m and length L is under tension T. The stu8soa 21hi2y peed of a wave in the string is v. What will be the speed of1h2aiyo8sut 2 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 t 6, be 2bby*4tsodi3tspeed of a wave in the string is v. What will be the speed of a wave in the string if ,yt ttbb6e*bsi3do 24the length is increased to 2L, with no change in mass?

  A string of mass m and length L is unde.v2;r9z1uzl te gh jz0r tension T. The speed of a wave in the string is v. What will be the speed of a wave in theue2t9r vjl.gh ;z1z0z string if the tension is increased to 2T?

  In seismology, the S wave is a transverst/ 0 uqp(s9nbge wave. As an S wave travels through the Earth, the relative motion between the S tbqu ( 0/9spgnwave and the particles is

  In seismology, the P waku3e 9nn14 njgve is a longitudinal wave. As a P wave travels through the Earth, the relative motion between the P wave and the par neunjg1k9 4n3ticles is

  The intensity of a wave-ly;sts0 ;h4h /l n verxwd(e5 is

  A wave pulse traveling to the right along a thin cord reaches a discu(ae+0z-m j* l: rbiamontinuity where the rope becomes thicker and heavier. What is th*: rumzma(e-l0a b+ije orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pafnqor2h( u *q*cd1*ukss each other on a string, one is traveling toward the right and thefocrnh( u 1k*uqqd *2* other toward the left. At the point that they occupy the same region of space at the same time

  Two wave pulses pass each other on a string. The one traveling toward the rigdtcbna 9 kl6 cl1z;l 9r(s.r9qht has a positive amplitude, while the one traveling toward the left has an equal amplitude in the negative direction;bn6ld1lcqa zk ct(sl 999 .rr. 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, ou f0wxm yq8*ngg;wu a42mu 5b.ccurs when

  If one doubles the tension in a violin string, 39 ld3mbk/c gp :4debothe fundamental frequency of that string will increase by a factor4g/bp3mk db d:9eco l3 of

  What is the spring constant of a spring that stretches 2.00 cm when a mao,. 17ct/ yr,rvxettd1q)u yd ss of 0.67x)1.tdtrtry ev q1,dc/ y, uo00 kg is suspended from it?

  A mass is attached to a spring of spring n+*ddrd*g ew4hhr:odtzl( 1pp5- b8bconstant 60 N/m along a horizontal, frirbb51 4**(d+h:g tdw 8n hz-dodrepplctionless 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 2 t zwxi q:jzpbjd37r4-pju+7 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 period of oscil -3jxpb w+:putz q2zjd4ji r77lation?

  A mass is attached to a spring of spring constant t3gzt 7.p f exxjmta4h wx6pohv92/ (160 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. a6/v31t.x9gxhtx7ozpt pf (4 ewj m 2hIt 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 oscilln ah8(twec 1bq.b+ou0kqb; ex-8qa 2t ations in 5.0 s.qoatn0ku (a8;q+xh1qbb e-.8be2 wtc What is the period?

  A mass vibrates back and forth from the free end of an ideal springesp* wvr)k8)c usg- n)8 /hsxw of spring constant 20 N/m with an amplitu /8*ssweu8 )cxgksrh-p n)v )wde 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 spring of spring const0 jr+1h j ulxpq/r).zlant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 hzp. +rllq/juj)x10 rm/s at the equilibrium position. What is the total energy of the system?

  A mass undergoes SHM with amplitude ofw uyqc +w-9qu cze n*f693cn+r 4 cm. The energy is 8.0 J at this time. The mass is cut in half, and the system is again set in motion with amplitude 49c c w qfz+n9rqyu*w6necu-+3 .0 cm. What is the energy of the system now?

  A 0.50-kg mass is attached to a spring of spring constant 2, 7 wzs-6j:abksk5wx5o tmzh30 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. What is the amplitudbw3ha6k j-k zowx mtz5s5,7 :se of vibration?

  A 0.50-kg mass is attached to a keplt 4*)x5*se b4j yjspring of spring constant 20 N/m along a horizontal, frictionless surface. The o44*bsxj e*pk) jt ye5lbject 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 spamy*6r ciip (/9d jg8pring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the total mechanical energy of this system?*y j9 iar(/6cm8digpp

  A 2.0-kg mass is attached to the end of a horizon*uvlb4nr5t qao3gmgu- 2xg .4tal 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 this-ux3o r5vglg*mqg 42u.tba4n system?

  A mass vibrates back and forth from tj2rjb qi vsk0,:pe 8h2he free end of an ideal spring of spring constant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kinetic,:p0rj b2is2 keqjv 8h energy of this vibrating mass?

  The mass of a mass-and-syur -um g:y*msai9;v5 pring system is displaced 10 cm from its equilibrium position and released. A frequency of 4.0 Hz vm*yua r;u9 :-is g5myis 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 10 N/m. T+u l-nvn y)2elhe object is displacedenv )yl -n2+lu 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 constlh7tj8bl/f j( u r*oa1e3zal2ant 10 N/m. The object is displaj ll8u1(ha3*zbtajl roef2/ 7 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 constant 1t rjby2/v4bw4 8 N/m, displaced slightly from its equilibrium w4tj4ry b2/bv position, 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 du w631 b mc- .9 rsdb4mfm4-.ylnhhhdkisplaced a distance of 2.0 cm from equilibriumhb-44m..um63w1 bcrhm fs khdd9y- nl and released. What is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to d4z,h8 j *f us,ru,pgrlcnm0mzf82 cy0 ifferent 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 0uj* 4s8gnmh ,fc,z,urrc8fpzm2ly 016 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. Iut x )hoav292b/*ybul n 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 rest. Calculato92ul* b2u hxvb)/ta ye the period of oscillation.

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass stretches the j)o )4exct4 utspring 2.0 cm downward. The mass is then p tu 4)cje)o4txulled 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 mass str57nru2petpns z1fq-6 etches the spring 2.0 cm downward. The mass is then ppnu eft z1s 75-n62qprulled 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 2rd2* chiue(oversus time equationu h2cde i(or*2:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following position versus time napk4 d34x9kr equati3n kap k4x9rd4on:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmobiu6uj-p.op :g6b q5 enic motion obeys the following position versus time equatigj 6b pe. p6i-uo:bq5uon:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the frekb/o aqmi)y3- e end of a spring executes simple harmonic motion accor/y3)mq-oi ab kding 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 constant of 20.0 N/m oscillc;g k4jm4motmj,/q7o ates on a horizontal, frictionless track. At t= 0, the mass is released from rejgk; 4,m /7qjm o4tmcost 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 dl u,tz6c, 5h5wzgx fltn37v4s. (a) What are its frequency and period ong65,wz7 z3vndlut ftxl5 ,ch4 Earth?

  A 3.00-kg pendulum is 28.84 m long. What is its period 4 wns574.-unewsdpa v on Earth?

  A pendulum has a period of 2.0 9;efd4z,aqju s on Earth. What is its length?

  The pendulum of a grandfather clock ;4) :ve(4 i/lrhkbca.ppxp5roucu3mis 1.0 m long. What is its period on the Eart3h; /.ux ko(vcp )4 iaeb5: 4cplpmrurh?

  The pendulum of a grandfather clo(i91b 3)asji.nfb4 j pvi 1mdzck is 1.0 m long. What is its period on the Moon where the acceleration due to gravitpvjbsja bi(. dn f)314 imz91iy is only $1.7 \; m/s^2$?

  A simple pendulum con1r2mw7xajr . /yeov) tsists 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 resulted if a 0.502jye)r.rw /avxt mo17-kg mass (same diameter sphere) had been attached to the string instead?

A simple pendulum consisting of a 20-g mass has initial angular displacem7mofbbkf8j 0t p 5/i:cent of 8.0e. It oscillates 0m kf7:o8/ bc f5ibjptwith 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 the (6s2xw- xezne wave is 120 Hz. What is the amplituesx x(ne62 zw-de?

  Figure 11-2 is a "snapshot" of a wave at a given time.qdo k7tgk1 z++ The frequency of the wave is 120 Hz. What is thkk g71o+zt d+qe wavelength?

  Figure 11-2 is a "snapshot" of a wave at a giivt,8.f 14da4h ,xu icfnc2px ven time. The frequency of the wave is 120 Hz. 4p1v8ux.x4ic,a2 hti nc, ffdWhat is the wave speed?

  What is the frequency of a wave which has a period of 6.00 ms 5f3cujnpuy)7o4h n /t?

  What is the period of a wave with a frequency wdu+tqw 3dtb-)k4 -u wof 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz and a wavelengt /oim5d5e: xzih of 3.dm 5z/ei: o5ix0 m?

  What is the velocity of a wave thatf-,(jq gbrqzf 0ygu3:(lf)f q has a wavelength of 3.0 m and a frequency of 12 f0bfu y)gqfz: qfj3,-qlrg (( Hz?

  What is the frequency of a 2.5 m wave traveling ab prro o*0*7d,b d2cbkt 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is under a tension xo wz46g3 3r4yl nu0 f5,hdpytof 1350 N. What is t4z4o3nul5d3 6yh 0wp xfgrt,y he wave speed?

  A string of linear density 6.0 g/m is under a tensio4 ( rordf1fg f*pe/l+tn of 180 N. What is the velocity of propagation of transverse waves along the strinf(lf f*otp4rg1 /+rdeg?

A wave whose wavelength is 0.500 m is traveling down a 500 m hi urj):wa m18long wire whose total ma1jrum i8 hw):ass 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 ,b1x)cr0 h w c df;sbtkhahx0k-p64k,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 s -1c 6kxt r4kck,0hadhf,pwxb)hs0 b;tring?

  If a guitar string has a fundament);sp)( ;dq.eesaglai1i0 grduav9 q9al frequency of 500 Hz, which one of the folloi)le(da r d e;019gisguasaq; p )9v.qwing frequencies can set the string into resonant vibration?

  A stretched string is observed to have four equaw1( ohb8yjsy; l segments in a standing wave driven at a frequency of 480 Hz. What driving frequency will set up a standing wave with five e oyysjwb(1;8hqual segments?

  A string, fixed at both ends, vibrates at a frequency of ;zmzp l-1zn hz:-eam 8i9vs 4r12 Hz with a standing transverse wave pavz9-1a:;4m-ismnrl8ze z zhp ttern 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 ilhj arj t6vsa/z,e/*8b, w/ mas under a tension of 20 N. What should its length be if its fundamental resonance frequency is 220 va /z/ r hbe,,s/atwaj6jl8*m Hz?

  Find the first three harmonics of a string of linear 19/gbq q*:fou z)nkf68 gzzvs mass density 2.00 g/m and length 0.600 m when it is subjected to tension og v kngfzbus8*z)qf:6/1q oz 9f 50.0 N.

A string of length 2.5 m is fixed at both ends. When the string viz. ttchzm;a87k;r dt;brates at a frequency of 85 Hzta87mh ;;.tz c dk;zrt, 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.