The time for one cycle of a periodic p9v 6,)usq ys 6hd0vawyrocess is called the

  For a periodic process, the number of cycleseejbb6ve4p.z 7h x)qb6,h;y t per unit time is called the

  For vibrational motion, the maximum displacement from the ey 93 slv1m3o.:g zaxegquilibrium point is called my ze 3osg3lx1. g:a9vthe

  A mass on a spring undergoes SHM. When the mass is at its maximum dispdya7c8b o) 82mb a68wfout 4,2kywd 3 sgio:jilacement from equilibc,)uo y md8y6b obs2dit7w awg8 :ja824ofi3k rium, its instantaneous velocity

  A mass on a spring undergoes SHM. When the m 4uc* ywsbq8tjh3 (:hck.+xqvass passes through the equilibrium posv+t .x c*8yqb(3uqwjhks 4:hcition, its instantaneous velocity

  A mass on a spring undergoes SHM. When tzi-(7es .uz qk16lvaphe mass is at maximum displacement from equilibrium, itaszl1vze.-7 k(q6 p ius instantaneous acceleration

  A mass is attached to a vertical sol;vy x*n4 zi)pring and bobs up and down between points A and yiz;4v*nlx) oB. Where is the mass located when its kinetic energy is a minimum?

  A mass is attached t1+ot,f 9qjy8qww en7wo a vertical spring and bobs up and down between points A and B. Where is the mass located when its kinetic energy is a maximum9qwtjy qw,we 87f1no +?

  A mass is attached to a vertical spring and bobs up and down between pojigchwu9) ;phr(0xvd6p q9t sn0c:w: ints A and B. Where is the mass located when its potentiw qrhup09n:)jth;w(s 6ip dx0cv9 c:gal energy is a minimum?

  A mass is attached to a vertical spring and bobs (rwtw2h6g1ij up and down between points A and B. Where is the mass located t w(12jr gih6wwhen its potential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-sprvkiqr4fagvl 6 86nds)51d m4iing system produces what effect on the system's mechanical ener8fk4mn4 lv5)1giv6ds di ar 6qgy?

  Doubling only the mass of a vibrating mass-and-spring system produces 8580tq dvh6p 0b6annrgtwuy /what effect on the system's mechanical d r80yh auw6pt8n bvqg5 /06ntenergy?

  Doubling only the spring constant of bw qt3jb hy514m 25elid6 *svma vibrating mass-and-spring system produces what effect on the system's mechanic23w d5ibqym4 5l1bj hts*ev6 mal energy?

  A mass oscillates on the end of a -3ie5mnd,vbjlnl o9,1;a zua wxab90 spring, both on Earth and on the Moon. Where i vi3-l,b5;abnl mw,9 aae z9nxo0d uj1s the period the greatest?

  Increasing the spring constant k of a mass umb ;pq1csm(/-and-spring system causes what kind of change in the resonant frequency of the system? (Assume no change in the system's mass uq 1sm p(m;c/bm.)

  Increasing the mass M of a mass-and-spring system causes whatkzqn/8 jxc82ijw+;j g kind of change in the resonant frequency of the system? (Assume /8k+q g x8in c;2zjwjjno change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system causes what klepwdy z.*n 4 2aer g/po0q48uind of change in ez d2l8u/ag0e w4 *q.pr4onpythe resonant frequency 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 mntzf nw2nj4,x4h6 o4y ass M attached to a weightless string of length L. For this system4zy6w2t xfnon,nj h44, when undergoing small oscillations

  When the mass of a simple pendulum is tripled, the time required for onahk5uf+6i ; 8 wzjqn1pe complete vibr8hwuf 5a+nq1i6kp z;jation

  Both pendulum A and B are 3.ia 482a tmf/ tj 88qoyi+y2kej0 m long. The period of A is T. Pendulum A is twice aay2o+82 m8/ k f yiij4aeqj8tts heavy as pendulum B. What is the period of B?

  When the length of a simple pendulum is tripled, the time for one complete vgjowl:( e 8v5dibration increas(8gole5v :w djes by a factor of

  What happens to a simple pendulum's frequ dxshl;*zn3f3ency if both its length and mass are increas* z 3hfnsdlx;3ed?

  Simple pendulum A swings bacp36faf0 mcw; m mqvb01)h4wlqk and forth at twice the frequency of simple pendulum B. Which statement is corre0)lqmh4q bm3 0w;p1acv f6 mwfct?

  If you take a given pendulum to the Moon,vp jz lu) :dc5v1rc8, kqj9bf8qh,7 bvzc.ib2 where the acceleration of gravity is less than on Earth, the rebr1bcj5c vcqhk.7zd8pv9)i ,8 , 2b zvlq:ujfsonant frequency of the pendulum will

  Curve A in Fig. 11-1 r/ .cfvi k-7cyubp0)qxepresents

  Curve B in Fig. 11-1 represent 1g nhny:y;,vop bqo(7s

  Curve C in Fig. 11-1 reybepk -;nku(rg*9z ..cuf of(presents

  For a forced vibration, the ampl.1hc hf(c xcxfw-vw,(blf, (hitude of vibration is found to depend on the

  In a wave, the maximum displacement of points of the wave from equilibriu ax5kk1mi e7s 8vk9 pev.ufw7h.3rn.im is called thvi.hse9a e7 r.v7 u1kxkp3n.wf mk58 ie wave's

  The distance betweeng avb/a b4 9*mz4oo(f s9m:tbf successive crests on a wave is called the wave's

  The number of crests of a wave passing a point per unit time is called the wl)or3 xh :-qmp z39vpnave'sp9x pv-z 3)qoln:rh3m

  For a wave, the frequency times the wavelength is the warsi: 9b--lb zzpip,)q l9x- xcve's

  The frequency of a wave increases. What hafiwsc a 5z 4s;t62;oae2lq q+gppens to the distance between successive crests if6s z4 os; +q q2c5;wlaet2figa the speed remains constant?

  A wave moves on a stapsq2y6 ;v8.r gf/fskring with wavelength l and frequency f. A second wave on the same string has wavelength 2l and travels with the same velocity. What is the frequency of the svyk a6ss . rfp2;q8g/fecond wave?

  Consider a traveling wave on a stpsj 2b c*9 xzrrtk a04l.51clhring of length L, mass M, and tension T. A standing wave is axhzc5b9t4 . lr0skrp1 cjl2*set up. Which of the following is true?

  A string of mass m and lenglfcl:,7k s +skth 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 string is is:,cs lf7k lk+ncreased to 2m, with no change in length?

  A string of mass m and length L is under tension T. The speed of a wave in the s /x xwr):h)4h(n xxmwttring is v. What will be the speed of a wave in the string if the length is increased to x/(n rw 4mwt)x)hhx:x 2L, with no change in mass?

  A string of mass m and length L is under tension T. The speed of a wave i8fc4g-t + eem01 wkmwun the string is v. What will be the speed of a wave in tg1-m f8u+ wkecw0m 4ethe string if the tension is increased to 2T?

  In seismology, the S wave is a transoml+skw q.dvt2y g/pgb+8kze c ;o2 8:verse wave. As an S wave travels through the Earth, the relative motion between th lws8+zqyb/ dk.p c m:g2 g;v8+eoto2ke S wave and the particles is

  In seismology, the P wave is a longitudinal wave. Asg) d7nx j3p9kmrregu j(y)+t) a P wave travels through the ()nge 7)g rk)39d+jp yutxjr mEarth, the relative motion between the P wave and the particles is

  The intensity of a wavem92kdiv5 4*d1dk)pk bwgcz4 h is

  A wave pulse traveling to the right along a thin cord reaches a disco;mc4rq ib,/+5 qprr*1ily*bxrf qru *ntinuity where the rope becomes thicker andxil ubr ,;i*q/rfm+q yqc*pr* b1r5r4 heavier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplit 9tmfm8;w jwq-udes pass each other on a string, one is traveling toward the right and the other toward the left. At the pointwfmq; -wmt89j that they occupy the same region of space at the same time

  Two wave pulses pass each other on rb n/od3t03gxgk1gi (:/crhaa 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 3/1:gio 0cdrrntggaxkb h3/ ( the same time

  Resonance in a system, such as a string fixed at bothx4fm fo+n6iwvfb3 +w 5 ends, occurs when

  If one doubles the tension in a violin string, k1v- k2x u2-u x4pcnd2jqnh7p the fundamental frequency of that string will increase by a factor ohv24kpu x -xn- k q7dc21nujp2f

  What is the spring constant of a spring that stretches 2.00 cm when a mass of 0ohi46c hokc54 .600 kg is suspended fr 6hoco5hci4 4kom it?

  A mass is attached to a spring of spring constantug b4 m.2s81l lrs,kmh 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 ampli1r8,gb4mksu lm2sh l.tude?

  A mass is attached to a spring of spring conz9x4lg4wup cg s*v+t1stant 60 N/m along a horizontal, frictionless surface. The spring is initially stretched by a force of 5.0 N tz s g+4*gcpx19wl4uvon 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 constaskm; )f5h r7otnt 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 equioktsmh5 7r; )flibrium position when it is oscillating. What is the frequency of oscillation?

  A mass on a spring undergoes SHM. It goes through 10 complete oscillati:;c4hd.xgj6 uylp8ikons in 5.0 s. What is the periogudcy6:;4hi lp8j .xk d?

  A mass vibrates back apduckn4*n, 4kw 7dx w(nd 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(,n dn 4wuk7dpk*cw x4 its equilibrium position?

  A 0.50-kg mass is attac96tf)cojt 22nmj zgvd, d0ltj( qmgd0910 fophed to a spring of spring constant 20 N/m along a horizontal, frictionless surface. The obf0m6 0zg0tlpo md9gjtf jo( vdq2 cn9j12,d)tject 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 p4 rnmqswm jf-a(53a 7x:r7db.0 J at this time. The mass is cut in half, and the s37am :- r5xqnjb daf4r( spm7wystem 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 tomyy; 0prvr ;+y a spring of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed ;y ym0;r+ yprvof 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 ho5y+lj drgi-h j 3-j4fyrizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s at the equilibrium position. At wha-y5 fd3-4jjriy hj +lgt location are the kinetic energy and the potential energy the same?

  A 2.0-kg mass is attachc-;jf efp41 t .to 9guur7lceoyj .50ced to the end 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 energ;9fpc1o egjy5t .fe 7rcuu. c4jlo-t0y of this system?

  A 2.0-kg mass is attached to the end of a horizontal spring of spring conb*avwk,7/cc*jlbi g ;stant 50 N/m and set into simple harmonic motion with an amplitudi 7cc;*kb,aljv /*gb we 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 ideal g qie- c:tgq+ 8oc-wf;sj,9we spring of spring constant 20.0 N/m with an amplitude of 0.250 m.:,gecc w;o-fqi9gqwj8+e t s- What is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring system is displaced 10 cm from its equilibrium po j6cz.px h5,eisition 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 thejci5x.p,6h ez n released?

  A 4.0-kg object is a9msif3 qzb * wt.ri4.ittached to a spring of spring constant 10 N/m. The object is*4z. br.iiw mi3t q9fs displaced 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 s6 1 2tv g;dvd7grv6qlof spring constant 10 N/m. The object is displaced b6 vsg6tdd7v1 l; vrg2qy
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 s2u.)k .gd,btrei;9ozwypi u/ pring of spring constant 18 N/m, displaced slightly from its equilibrium positionue,;o )9zybg2iir w .t up/d.k, and released. What is the frequency of its vibration?

  A mass is attached toppha)cl+*q homn ..3 z(q -gro a spring. It oscillates at a frequency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium a gcmq 3opr .op*z- l(+n)qh.ahnd released. What is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to different springs. Mass A vibrateu0 4mbydl1p u8j9vq8 - cqcda(s 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 16 y(qm1u0 u 4c9bjd a8qvd-pl8cHz. 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 stret)+hlg ps 9bf)dches the spring 2.0 cm downward. The mass is then pullblgphdsf)) 9 +ed an additional distance of 1.0 cm down and released from rest. Calculate the period of oscillation.

  A 0.30-kg mass is suspended on a spring. In 5t m ,9l5ukxbgpl.)hzequilibrium the mass stretches the spring 2.0 cm downwar,k lxut.g95bl hzmp5) d. 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. Iefk ) g2 ku0t.jylf9ct/w3 zf t--klu7n equilibrium the mass stretches the spring 2.0 cm downward. ej k-kck-ttl2/f3u 9z lu f70y wf)tg.The mass is then pulled 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 versuby2uvlc f,. 9ds time equaub .fcy2,dl9v tion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following posi :6elsu5y o(q4j6pn2a- pgtbetion versus time equati4yt op ee 6l-g2:bpsn5uq6a( jon:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following powv0ryg 32.ifd:a dz;(eknh8qsition versus time equatioq:2 .0 (fwkvdy;nrgze3hia8d n:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple harmonic motio t8g)fgyd* jx/n uv/nlpf+e87n according e+ng7f g/t/ 8plvdxujf ny*8 )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 cgqmwv t,m*-z- onstant of 20.0 N/m oscillates on a horizontal, frictionless track. At t= 0, the mass is released from rest at x= 10.0 cm. (Thg- -mqv tmwz,*at 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 (axs /pou3,ktw*a j5w and period on Earthwuxk3j 5waa(p,o/* ts?

  A 3.00-kg pendulum is 28.84 m long. Wha)ly2- ,wqm x,t y7fqmpt is its period on Earth?

  A pendulum has a per c 9gxnt( w43i/+t07pcu,n ji, bfdsyfiod of 2.0 s on Earth. What is its length?

  The pendulum of a grandfather clo59y txkwp( yy9ck is 1.0 m long. What is its period on the Earth?5yyx ywkpt(9 9

  The pendulum of a grandfateo-8k8b: 8qe2fctg1 sqeiz*j her clock is 1.0 m long. What is its period on the Moon where the acceleration d 1b 88 ost*ei-keceqqjf:zg2 8ue to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attasqbted 6n vqht,+b4a82. e 6nzched 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 0.50-kg mass (same diameter sphere) had been attached to6q8va 6nqd b , 2tebs.nhte4z+ the string instead?

A simple pendulum consisting of o8v zu1e .4w vv2xlpw-a 20-g mass has initial angular displacement of 8.0e. It oscill vwlv-.pvw4e 8zo21xuates 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 awh5y,8 yz2qzk given time. The frequency of the wave is z8yk 25hzy w,q120 Hz. What is the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given tiq9b-rr0ar )69tqx usgme. The frequency of the wave is 120 Hz. What irr09q9a q-x6b ur)gtss the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given time. 20xtxclc c ;w ne, -inpvzul83vzc1-4The frequency of the wave is 120 Hz. What is the nx1zev t vc308 u;2xnic cclz4w--,lpwave speed?

  What is the frequency of a wave which2dx,o8 l vj;gn has a period of 6.00 ms?

  What is the period of a wave with aqb ku 4:,m0kbj frequency of 1500 Hz?

  What is the wave speed i287x+abbfo 3cmeucn )f a wave has a frequency of 12 Hz and a wavelength of 3.fmoncx)3+bc8 7a 2b ue0 m?

  What is the velocity of a wave that6ophvk 8b0*e z has a wavelength of 3.0 m and a frequency of 10 h6epvk8o bz*2 Hz?

  What is the frequency of a 2.5 m wave traveling at cozbf7 1d dbf7za1 ;q;1400 m/s?

  A piano string of linear mass dec8. 5; x tdkwt) d1 k0f),fvcunoa/haensity 0.0050 kg/m is under a tension of 1350 N. What i ;cnh x.t)o /8fdev 5),udckwakf01at s the wave speed?

  A string of linear density 6.0 g/m is under a tension of 18 5f) 3zlkag.uez2td *+pjnut20 N. What is the velocity ofjt25+)npz f kdg zt*.3le2uua propagation of transverse waves along the string?

A wave whose wavelength is 0.500 m is traveling down a 500 m long wire whose de -9b;:vuio ..ljn 7u08qrav7b.p-zgg atr dtotalljgua e0p-:do.t;r9 iv .7r- gbvbqd.z78nau 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 on a 2.0-m long strinl2v y*)n7zmr vg fixed at both ends is 200 m/s. Which one of the following is nov*ry7lz2mn)v t a resonant frequency of this string?

  If a guitar string has a fundamental freqy7.k k /noka)duency of 500 Hz, which one of the following frequencies can set the string into resonant n) k.k7/ky aodvibration?

  A stretched string is observed to havpmsd6kk1s4 5s e four equal segments in a standing wave driven at a fre1dsp 54msskk6quency of 480 Hz. What driving frequency will set up a standing wave with five equal segments?

  A string, fixed at both ends, vibrates aiasz/li)/d n gg*( y,kt a frequency of 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency is needed if the standing wave pattern is to cog g k*()dyi,nzl/ /aisntain 4 loops?

  A string of linear density 1.5 g/m is under a tension of 20 N. Wh6y tfgkj v(-a75gn4ddgxh 7nfc; 3a+bat should its length be if its fundamental resonance frequgn 7vfcat-g+dknx4 ;3f5aj hdy6 b g(7ency is 220 Hz?

  Find the first three harmoy -4.gtz s,f7hbcur-enics of a string of linear mass density 2.00 g/m and length 0.600 m when it is -.c7 sfb h,t- yzeu4grsubjected to tension of 50.0 N.

A string of length 2.5 m is fixed at b+7w-kajrf is())+cf bqcl4r .p rpp s-oth ends. When the string vibrates at a freq+cp) clrwi4jksr)f+b(prq7-saf . -puency 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.