The time for one cycle of a periodic p, ,+v2 t+rf;ajrchfwyrocess is called the

  For a periodic process, the number of cycles per unit tiwuz29n0 o r6odme is called the

  For vibrational motion, the maximum displacement from the equilibri)paz/ tccy; .ct/8k6iqhx/u sum point is called ;ts zxy/a kci/6qc)t. /8ch puthe

  A mass on a spring undergoes SHM. When the mass is at its maxp5hcrs 56 fa(ximum displacement from equilibrium, its instantaa x(h556rps fcneous velocity

  A mass on a spring undergoes SHM. When the ldlg z5i34wf7 mass passes through the equilibrium position, its 5llz4g7 diw3finstantaneous velocity

  A mass on a spring undergoes SHM. ahi +pbe5nv0 , When the mass is at maximum displacement from equi,ivn0p+ h5aeblibrium, its instantaneous acceleration

  A mass is attached to a verticac,j 1vhx2lg . k4lqv0 xcnz9-il spring and bobs up and down between points A and B. Where is the mass located when ix-ihjz, . x l 0vnc124kq9lvgcts kinetic energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down between poinm+l b- zrv/.q3kkh,cdts A and B. Where is th-rcml k b vkd/3q+,.zhe mass located when its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up and down between pointyj a k e u uk9);j9cvaop3xq0,/94wbiws A and B. Where is the masxuy9 0vwuw4aj qp)3a9;ekk9ijc ,/bo s located when its potential energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down between points.a52nipq+j x a A and B. Where is the mass located when its potential eneria5p2.n+jx a qgy is a maximum?

  Doubling only the amplitude of a vibkzaa+-p uylijwfv w- u+2dp59b99,n urating mass-and-spring system produces what effec9 lkja -+nu wz+upw,d 9i5ubf -avyp29t on the system's mechanical energy?

  Doubling only the mass of a vibratisw96ybx2:v fj ng mass-and-spring system produces what effect on the system's mechanical ene fy6vs2j9:b wxrgy?

  Doubling only the spring constant of a vibrating mass-and-spring system pro f2oq ;.ek+dzl /sxa9j1n4pe vduces what effectn. 9sok;jdqp 41/xez2+ flvea on the system's mechanical energy?

  A mass oscillates on the end of a spring, pv bq17 0bifl6both on Earth and on the Moon. Where is the peri10b q6ipb7vl fod the greatest?

  Increasing the spring conkufx)+, lrv6* yae1x dstant k of a mass-and-spring system causes what kind of change in the resonant frequency of the system? (Assume no change in + ,x d)urv1lxyae* fk6the system's mass m.)

  Increasing the mass M of a mass-and-spring syyte4p.uogxbs,8a0a 6*j limt* 0tte 9 stem causes what kind of change in the resonant frequency iy .086*epsjtt,0g u9bl*ae amxtot4of the system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system causes what kind ofho rt c)4c6rpm 8y6ozo2wq7 cerv1)h1l0-vs y change in the resonant fre72r1moct8y64rsq0 - v oc 6rh ehp)cvyol1zw)quency 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 a mass M attached to a weightless skbytd4w8davm44 cy b o0,w +:vegl.v3 tring of length L. For this system, when undergoing small oscillati+kbme0yywgv4d, v4 co:.vw 3alt 8bd4 ons

  When the mass of a simple pendulum is tripled, the time required bfyqd/qbja/ + 6x mbf*pe:57 nv d39rzfor one complete vibratqn e+bx v/qr/ maj*fzb: 3 pbfd957y6dion

  Both pendulum A and B are 3.0 m loc6 p(ky;e1dqb ng. The period of A is T. Pendulum A is twice as heavy as penp1k ;eybd6cq(dulum B. What is the period of B?

  When the length of a simple pendulum iismp*8 4 ipj0ss tripled, the time for one complete vibration increases by a factor0j*s s4 ipmip8 of

  What happens to a simple pendulum's frequency if both 15+b iwyh a5i2ybb4s/q(oka l its length and mass are incrobbsb a i iwy5+qyl /h(215k4aeased?

  Simple pendulum A swings back and forth at twice4oa derp9d/ e,z w(j.e the frequency of simple pendulum B. Whjd4wpe (/ r9. eodzea,ich statement is correct?

  If you take a given pendulum to the Moon, whe r7utk1* bgyk+re the acceleration of gravity is less than on Earth, r+ *by7gukk 1tthe resonant frequency of the pendulum will

  Curve A in Fig. 11-1 h-ul +n(b7* ywc1d;iacz5wh -aqhb/nrepresents

  Curve B in Fig. 11-1 r*sh(9 1x-mk lm32 hbu sbln5udepresents

  Curve C in Fig. 11-1 represeq)dvn)ax2c olmzs07+bp. r s.nts

  For a forced vibration, the amplitude of vibration is found to depend on the95)i6m 8* bujr(kwqio ewqy3a

  In a wave, the maximum displacement of points of tt1eq 8*bd dkat9w mhv8ilc);5he wave from equilibrium is calhq1l58v9i8*;da d) e ckmtwbtled the wave's

  The distance between successive crests on uya ( 2u,fob*aa wave is called the wave's

  The number of crests of a wave passing a poinw/zzd;**m.sin g,+s ee qj wf*t per unit time is called the wave';ew* e iqg.s/*fnmw,zd*z +jss

  For a wave, the frequency times the wnmt* r// dydv *ak.sp1avelength is the wave's

  The frequency of a wave increases. What lhhn*f ldxmskoq *e op*5 87-7happens to the distance between successive crests if the speed remains constant?8lkh*qmn5*h x eldf7*os 7o-p

  A wave moves on a string with wavelength l and frequency f. A second wave on eq0)-moy;r( tneq6dr the same string has wavelength 2l and travels with the same velocity. What is the r e6;qqyrnot0edm )-(frequency of the second wave?

  Consider a traveling wave on a string of length L, mass M, and tenepgc2xq )pc bo2576d usion T. A standing wave is set up. Which of the following is trueb d5g7 oup 62xcqpc2)e?

  A string of mass m and length L is under teu73,5z lsxhgq nsion T. The speed of a wave in the string is v. What will be the speed of a wave in the str7u5hls zx3 gq,ing 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 tens.4 e.ywoy- ,*bfc:7sjuqg tzdion T. The speed of a wave in the string is v. Wh:o uygdf7, .4weqzcbs.- y* jtat 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 and length L is under tension T. The speed of a wa4zvg* mb 6q2kjve in the string is v. What will be the speed of a wave in the string if the tensiom2gjvz *k6qb 4n is increased to 2T?

  In seismology, the S wave is a transverse wav.--qh yvpwyn p c8m+,we. As an S wave travels through the Earth, the relative motm.-hy qcynww+pv- 8, pion between the S wave and the particles is

  In seismology, the P wave is a long)/nq ;8y1k mcx)gkrilty8pr*itudinal wave. As a P wave travels through th*x 1myl)in py)k8g8k;/rct qre Earth, the relative motion between the P wave and the particles is

  The intensity of a wavedm)pi3vh966r z tf+ ev is

  A wave pulse traveling to the right along a thi:vzf0b1z: 8dc h7uwo yn cord reaches a discontinuity where the rope becomes thicker and heavier. What is the orientation of the reflected and transmittezz0y:8wcv b1f7 :udo hd pulses?

  Two wave pulses with equal positive amplitudes pass each othr fuc(* w.prhkg+)ib06)jw j.d(f xl ner on a string, one is traveling toward the right and the other toward the left. At the point that they occupy the same region of space at the same tidcnjwxil6w.+ f0h fru( b kjg pr(.)*)me

  Two wave pulses pass each other on a stringfd-v* u19xzx s. 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 regionz -1vsxx 9udf* of space at the same time

  Resonance in a system, suche5 lcael2 :l)g3 6x, giya7rbn as a string fixed at both ends, occurs when

  If one doubles the tension in a violin string, the fundamental e9w2 6fy2v.h8vaf t x1fsb p9ffrequency of that string will increase 8 26v9s fbyv1px2w.fa9h ftef by a factor of

  What is the spring constant r)p.zaj-t)g1/bk4hhw-z p*nvz0*c v+ k ngn iof a spring that stretches 2.00 cm when a mass of 0.600 kg is suspended frn+4v-c0ph zga/i-wg1 zk *nvnhtjk ) )pb*.rzom it?

  A mass is attached to a spring of spring constant 60 N/m along a horizontal, -7 6xnepbktl ,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. Wha nxbe 7t6kl,-pt is the amplitude?

  A mass is attached to a spring of szng2oajh;h i3fqv a-bio ,0tf3 )e -(mpring 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 iqe m;,fg(vniifj3aao hh t-)02 zb- o3ts equilibrium position when it is oscillating. What is the period of oscillation?

  A mass is attached to a spring q(z09 uyyq a x:pgj;f/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. /;jqu yf:g9zp 0qa(xyIt 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 osca3 l5 7d.ce qlgjfc2b :7a6mtjillations in 5.0 s. Wha3qj :bea 75glm f7cl c.djat26t is the period?

  A mass vibrates back an +gy ,dpc+ 9q eva*g)wxo6:jrpd 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 when it is 0.30 m from its equilibrium poy6gxgjow)v p qp+cda: 9 e,r*+sition?

  A 0.50-kg mass is attached to a spring of sp neqqf.j6 xr-6ring constant 20 N/m along a horizontal, frictionless surface. The object -qxq6n. r j6feoscillates 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 ampli.(gct8 t fl0potude of 4 cm. The energy is 8.0 J at this time. tg.(pl0 ocft8 The mass is 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 spr4 gcdfc1:d;uap ymo +3ing constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion a 3uc;af4 yddcgpmo:+ 1nd 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 along a hyzg o53+w zou w),3wa* nhx9cdorizontal, 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 a h9*3cduo3 wz wwxa5y,)on gz+nd the potential energy the same?

  A 2.0-kg mass is attache,9lbz7dd k- ifd to the end of a horizontal spring of spring constant 50 N/m and set into simple harmonic motion with and-9d, zbf7kli amplitude of 0.10 m. What is the total mechanical energy of this system?

  A 2.0-kg mass is attached to p+)t (i:t g4nw;upiofthe end of a horizontal spring of spring constant 50 N/m and set into simple harmonic motionin:itpwt)p ;4 o (+gfu 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);hoqwy +peqp:jc v5 g67wc o w)1iu3m end of an ideal spring of spring constant 20.0 N/m with an amplitude of 0.2e51ujp)mw)cgvi+o6h po :y;c 73wqwq50 m. What is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring system is displaced 10+hy)qutf2e: e 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 releae+h 2tefqyu :)sed?

  A 4.0-kg object is attached to a spring of spring constant 0 (rmg /8gjhm*qo3llt10 N/m. The object is displacedmj 3rg 8oq *lhtl0/(mg 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. nh5y*-4inrg xThe object is displr5*yn-hgx 4 niaced 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, displaced slightg8zdfif r8 o(el6 ,c6sfdi 7)3z,wfybly from its equilibrium position, and l z6ifd ei7gfw8rf,fd6bz(,s c8o 3y)released. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequency o*2;gk9 008 fogtz tjrm hs)ymkf 1.27 Hz when displaced a distance of 2.0t;jy9g m)zrmt8g0*0 ofhk k2s cm from equilibrium and released. What is the maximum velocity attained by the mass?

  Two masses, A and B, are attachx lv;:.zmbzz.eucr 5( ed to different springs. Mass A vibrates with amplitude of 8.0 cm at a frequency of 10 Hz and mass B vibrate(zxmz r:lez uc5vb;.. s 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 stretches the d.(6z wqifk +jfu b2xb5 5x8gkspring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and released from rest. Calculatefq +f 2bjb6 dx.uk5i(kg5xwz8 the period of oscillation.

  A 0.30-kg mass is suspended on a spring. In +* o( ot,pmbmsequilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an t, omms*bpo(+ 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 equilib ;ycimpxx,0izyp2 .x* rium the mass stretches the spring 2.0 cm downward. The mass is then pulled ai*z .2y0,xmcpx;y xip n additional distance of 1.0 cm down and released from rest. Write down its equation of motion.

  An object in simple harmonic motion obe192mg ue 2dkft p.ua8/e rsk2uys the following position versus time equation:u82dt u.efe k/g ra9m1su2p2k
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following position ve(t7u:qz f ccp3rsus time equatfz 7tq(c:u p3cion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following pwa qn 47ayuy.yiukd,x)bp;.g+hw 7+ josition versus time equationx+ j+4.wgn yy7;y,a u7pbhk udqia.w ):
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes nyef4l;).n z3n ol:kwit8e(q simple harmonic motion according to the ;nl e3nywn8kt(ie4z :o fl.) qequation $y = 0.50 \; \sin (18\pi \times t)$ 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 const+ c q h/(+ggbkgn ml5.m,n3k; bxy0*hlwdjo5jant of 20.0 N/m oscillates on a horizontal, frictionless track. At t= 0, the mass is released(m.w c+bjxn,; 3g+5hl*qdk5mgy hl /bgko0nj 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 frequency ac+lgsz c .1 sw5z+kyh6nd period on Ea g5+yzwzkc 1lcs.h+ 6srth?

  A 3.00-kg pendulum is 28.84 m long sevtro3 t8mw;6d /d8k. What is its period on Earth?

  A pendulum has a period of 2.0 s on Earth. What is its leng*xky;*1-v *r he jibndth?

  The pendulum of a grandfather clock is 1.0 m long. What is its per/72ube w o.j(u*zylz aiod on the Earjwyzluu*2e a z.bo/(7th?

  The pendulum of a grandfather clock is 1.0 m long. What is its periokwq0h5zew49jz /;h rrd on the Moon where the acceleration due to gre h;5 wzj 9qrr4khw0z/avity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attached to a massless 0aom+ nbr;f(tyvt 4r0 jze v626pra;ystring. 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 0.50-kg mass (same diameter sphere) had been attached to the string insteabap0zfe+( rao vm 0;; yrj4n26yv r6ttd?

A simple pendulum consisting of a 20-gxnbg + 5)fj*zi mass has initial angular displacement of nx jz 5*if)+bg 8.0e. 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 "snapshot" of a wave at a given time. The frequency of wj8tyk;7w+z*zlz5( uwv3jy fthe wave is 120 Hz. Whatu*w(8wk 3 wvlyj7zzf +t;yj5z is the amplitude?

  Figure 11-2 is a "snapshot" of a wave ard6cn cl) o*0h/1gsbddbtl (2:)tgtcnm bb56 t a given time. The frequency of the wave is 1206 r *bobc2t n/50bt6h) gt1b l:nccldsd)dgm( Hz. What is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a give;xzejwd 62 fm3zho-6l n time. The frequency of the wave is 120 Hz. What is the wd-woze jfzlh m32 ;6x6ave speed?

  What is the frequency of a xu 6hikl3 /jfuz3x-;;lgoxq-wave which has a period of 6.00 ms?

  What is the period of a wavjlmmv d lii9.3oagyv(p+(; 5he with a frequency of 1500 Hz?

  What is the wave speed if *njvvo9fl:r8c6ml w ; a wave has a frequency of 12 Hz and a wavelength of 3.0 m*8;ow :rv jlmfn6cl9v?

  What is the velocity of a wave that has a wavelength of 3w y ,lcsj+y2c623zys g.0 m and a frequency of 12cs3c6j 2wzs l2 y+y,gy Hz?

  What is the frequency of a 2.5 m wave traveling at 1400 m/s mw/h8-;yd ,je4kcgtb (aa.tx ?

  A piano string of linear mass density 0.0050 kg/m is under a tension of 1350 N. so-b i7p*i vfm) :e(5nar:buv What is *ui : 5)b-sea7vo :vb ifp(mrnthe wave speed?

  A string of linear density 6.0 gikf/me,/nz3 ss2 i:zx/m is under a tension of 180 N. What is the velocity of propagation of transvesknzs i3z2, xmeif//:rse waves along the string?

A wave whose wavelength is 0.500 m z7w,lsndf;x awq7m:uyv0 3oe:i vaz:) o 5 9wvis traveling down a 500 m long wire whose totawo:i z7) a 0x; ma,yul3:7qwz5edwnvf9o:vsvl mass 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 o6 n1qiymav*2 w bg3zx)n a 2.0-m long string fixed at both ends is 200 m/s. Which one of the following is not a resonant frequency of tg)xb3niyw1 zm qv6a2*his string?

  If a guitar string has a fundamental frequency of 500 Hz, which one z3kc 4ki65 xlusg -dszln049rof the following frequencies can set the string into r dz k44 -sukrl3zlg6c5sx9ni0esonant vibration?

  A stretched string is observed to have four equal segments in ahd u:psyh6 -;w standing wave driven at a frequency of 480 Hz. What driving frequh-s hyupw;6 :dency will set up a standing wave with five equal segments?

  A string, fixed at both endr: w:4xxgpoa ;s, vibrates at a frequency of 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency is nex x:: ;wg4rpoaeded if the standing wave pattern is to contain 4 loops?

  A string of linear density 1.5 g/m is under a tension of 20 N. What should ip+iaied3kdb;u66*oio3k r u /xpp0 )pb)d1sq ts length be if its fundamental resonance fre; qoi0+p3pkad) 1id6 bk)sud3bo 6 xe/ *pirupquency is 220 Hz?

  Find the first three harmonics of a string of linear mass density 2.00 g/m )1imtzg o50vqand length 0.600 m when it is z5g)v im0t qo1subjected to tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. When the string vibrates at:;fd iy w;9 kog3z +v4a2bmgbp a frequgid43:;g p +owkzvab m;9fb2yency of 85 Hz, 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.