The time for one cycle of a periodic protd+ln/ iw0b gx*4xvvv/ e+j (tcess is called the

  For a periodic process, the number of cycles per unit time n/a, )g gdqp-bjs4krt(c8 wl) is called the

  For vibrational motion, the maximum displacement from the equilib,q( o u*nzi*bx8bok io/0pe8ox -; tmtrium point is cant088x* tx(ooz/b b*-m iio , poeuqk;lled the

  A mass on a spring underb0n qm.g7x6xqxt1gf8goes SHM. When the mass is at its maximum displacement from equilibrium, its instantan8t0nq76.1 xxbqg fxgmeous velocity

  A mass on a spring undergoes SHM. 9,q zp cmogl51When the mass passes through the equilibrium position, its instantanepz 9qo5cl gm1,ous velocity

  A mass on a spring undergoes SHM. When the mass is at maximum displa*z:wnxb+muf4 mf 9-udcement from equilibrium, its instantaneous accbf*9uumdwf 4m z:-n+ xeleration

  A mass is attached to a vew(e/luchv uluek+:2vmix6k1low/ g8mf . ;h6rtical spring and bobs up and down between points A and B. Where is the mass located when its kinetic veh(ol81muc mkwu +wv6i e; x.k:hf /2u /g6llenergy is a minimum?

  A mass is attached to a verticbgc ie7); kj.dal spring and bobs up and down between points A and B. Where is the mass located when its kinetici.7cdej; b)kg energy is a maximum?

  A mass is attached to a vertichrkx udmt0d 2. rd/1g eetc 7pku:l;50al spring and bobs up and down between points A and B. Where is the mass located when its h me ucdkx:0trl1g d p7td; ke0ru./25potential energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down between points A eau16p d8usc6and B. Whap8d 6suue 6c1ere is the mass located when its potential energy is a maximum?

  Doubling only the amplitude of a vibra9rvglv59*ry z a 7h6czting mass-and-spring system produces what effect on the system's mecry 6g5 zhl*r9va9zvc7 hanical energy?

  Doubling only the mass of a vibrk10m/ qyhsow/ ating mass-and-spring system produces what effect on wm/hqs yko/1 0the system's mechanical energy?

  Doubling only the spring constant of a vibrating mass-and-spring syjsfoa3 t6 t6w+stem produces what effect on the systo3w6ftjs+6a t em's mechanical energy?

  A mass oscillates on thq n-3s)dg8yh fe end of a spring, both on Earth and on the Moon. Where is t 3 y8hg)nfqsd-he period the greatest?

  Increasing the spring constant k of a maixl l4 -5ejp2hj4we28dd.b jv ss-and-spring system causes what kind of change in the resonantdie4 e-dl458pl wvj xh.bj2j 2 frequency of the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-sprm3k:o*fsyh 5dhr4 mf9ing system causes what kind of change in the resonant frequency of the system? (Assume no change in the system's s*k3fo :r dysmfh4h5m 9pring constant k.)

  Increasing the amplitude of a mass-and*4mjd5/(r7f e ikcm-ri)c2e vzce 1qq-spring system causes what kind of change in the resonant frequency of the system? (Assume no other changes in th1qcqfd4 -zv iki25jc /m r* e)r(mc7eee 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 ato (hzj,-d;yh.fu8 qll tached to a weightless string of length lul,;dz .-(qy fh8hj oL. For this system, when undergoing small oscillations

  When the mass of a simple pendulum is tripled, the time required for one coku7v i4yf+m7yhfg opog 5027ymplete vibrati75vy7 fo2hu kggo40 fiyp 7y+mon

  Both pendulum A and B are 3.0 m long. The period of A invefhv2u+*: ns T. Pendulum A is twice as heavy as pendulumve: nnu+h*2 vf B. What is the period of B?

  When the length of a simple pendulum is lb p54ak1d2yjtripled, the time for one complete vibration ajd2kl1 by4p5 increases by a factor of

  What happens to a simplej 9,a0o6)td:f5q zbeerm b+st pendulum's frequency if both its length and mass are in :t)6etfo jdsam 5r ,9q0+ezbbcreased?

  Simple pendulum A swings back and forth au.3a.kal6/zik 5 corpt twice the frequency of simple pendulum B. Whu3r. o6ac.5i lp/kazkich statement is correct?

  If you take a given pendulum to ,j+*uah 3la dwthe Moon, where the acceleration of gravity is less than on Earth, the resonant frequency of the pendulum wih ad3j*ua +,lwll

  Curve A in Fig. 11-1 represe(xjw4ruw4vp sn ,(o(* itd/b dnts

  Curve B in Fig. 11-1 represenh:gx+ ktzxb09h2 5 aztts

  Curve C in Fig. 11-1 repre-zvee; ( q7xhtsents

  For a forced vibration, the amplitude of vibration is found to depend on thkd l6(xg, y7(jz/rs k 4jioy4y r7fnr5e

  In a wave, the maxim2u9mc* ygvks1einxpq *7o4x, um displacement of points of the wave from equilibrium is callegune k*imv47y9cx s2x ,1p*oqd the wave's

  The distance between successive cres uxnd3kjr3s;-ts on a wave is called the wave's

  The number of crests of a xen7 joq/: d0 *n hoetdm3x,wbepe/82wave passing a point per unit time is called the wave's q/3*wnjeoeo2ddpbex: / 7n,8em 0htx

  For a wave, the frequency times th c*w9bz0o3b gshqg/* ie wavelength is the wave's

  The frequency of a wave increases. What ha +hml sl1lveno7. y*;r) wv)e9vxs;mappens to the distance between successive crests if the speed remains constantnsrvex asvov9h1 m;ly))ll. *w 7m+;e?

  A wave moves on a string with wavelength l and frequency fm l1+f s91 m qeln6 khf2/1w+mucm,ykw. A second wave on the same string has wavelength 2l and travelsmcw1q y nhlw+1f ekmf9uks 16m+m/2,l with the same velocity. What is the frequency of the second wave?

  Consider a traveling wave on a string of length L, mass M, and t9lx 4g ;nul1w p o-cv3md(7bheension T. A standing wave is set up. Which of txmec941ln b;po(h 7wuvl g-3d he following is true?

  A string of mass m and length L is under tension gbj,)nuwb ynbq,:q.: T. The speed of a wave in the string is v. What will njgn .q:b,u)wybqb:, be the 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 speedq5xqr7/t yj 0j of a wave in the string is v. What will be the speed of a wave in the strinj/t r7j q50xyqg 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 dqs1a8iczv/y 54 e5pe wave in the string isyei4d z8pce5/ 5qsv1a v. What will be the speed of a wave in the string if the tension is increased to 2T?

  In seismology, the S wave is a transverse wat;x9io,)c i+vg a4y dbve. As an S wave travels through the Earth, the relative motion between th,9 c+id);otixvaygb 4e S wave and the particles is

  In seismology, the P wave is a6fn7ro5*3 dxe-gz)alb k ml. p longitudinal wave. As a P wave travels through the Earth, 6frkg l.nm xb)ald*o zp-e735the relative motion between the P wave and the particles is

  The intensity of a wave yxkait. o y +3-4r9wstis

  A wave pulse traveling to the right along a thin .e0u kdl6 osx9cord reaches a discontinuity where the rope becomes thicker and heavier. What is the orientation of the reflected and trds0kx9 u6l.o eansmitted pulses?

  Two wave pulses with equal positive amplir; :3,gfz-tr e 1uhtoktudes pass each other on a string, one is traveling toward the right and the other toward ruf t3g-:ekrh tzo ,1;the left. At the point that they occupy the same region of space at the same time

  Two wave pulses pass fjx8y43 c(rhbeach other on a 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 diryxf 3h(8jbc 4rection. At the point that they occupy the same region of space at the same time

  Resonance in a system, such as a st1c 5oddio/sq;v 9tel 4ring fixed at both ends, occurs when

  If one doubles the tension in a violin string, the fundamental frequemtrl ov 30i5q-2dmlr7ncy of that strm 7 l2vmdrtlq5io-03ring will increase by a factor of

  What is the spring constant of a spring that stretches 2.00 cm whenul x+ z6lm7 444xk5mj /79pfkw: yrhhngfn(s j a mass of 0.4m/g64fhw5n9l 7fr y x ljpsh:+(m 4knux7kzj600 kg is suspended from it?

  A mass is attached to a spring of spring constant 60 N/m along ayp f+9 f(iw.s-p b(pyc horizontal, frictionless surface. The spring is initially stretched by a forcefcfs iwpp( y- .ybp(+9 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 spring3 3/gmx7: 7eavvx uctg 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 vvx3c7/t ag m:exg 73uthe period of oscillation?

  A mass is attached to a spring of spring constant 8d *hyc6u.li9kf fknh .j;og 360 N/m along a horizontal, frictionless surface. The spring is initially stretched by a force of 5.0 N on the mass a3;o9 kfjc un8iy.lhf6 * hk.gdnd 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 oscillatk.bd cz88fv7u+ eevb5ions in 5.0 s. db758evu8fkv+ez b c .What is the period?

  A mass vibrates back and forth from thm62q9fs uth4q*c nq(kp- 1glde free end of an ideal spring of spring constant 20 N/m with an amplitude of 0.30 m. What is the kineticq psf2*td( 4c61uk9q n -gmhql 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 constant byy f2+kx:-0yt hpu;t2x te;i20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion andi;:20f xe tb pyt+2 ;ytxk-hyu 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 wo, h9:mnmyc:5q gl5tfw e98mJ at this time. The mass q59m,w9mg:58 wcfemnt :oy hlis 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 ji 2(a6glxp() :r y gp72glnvma spring of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and hma:76l g prg vi)gy(p2n2( xjlas 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 j yb:89fnn: ska spring of spring constant 20 N/m along a horizonta: y:fn89bjnk sl, 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 energy the same?

  A 2.0-kg mass is attached to the end of a horizontal spring of sprvtausxxw zhm /f(ykq(:0(8v 9 ing constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. Wha q a/fhux9xy08vv:s k w((tmz(t is the total mechanical energy of this system?

  A 2.0-kg mass is attached to the end fdel4wim))c7of a horizontal spring of spring constant 50 N/m and set into fe))c 4m wi7dlsimple 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 ideal spring ud4a6o cq0qb4of spring constant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kinetic energy of this vibrating macb q6ou40qd4ass?

  The mass of a mass-and-spring system is displaced 10 cm frv. eu8zv7m+av5 fr ku;+qq8opom its equilibrium position and released. A frequency of a7q qkuv+o8+5pz. mev 8;fuvr4.0 Hz is 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 v:8uaua:1axy.0 8zun1sqwc a constant 10 N/m. The object is displaceqaazwa v1u0:c x n8ya8:u1us.d 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 spm g4nofza,6 7o3d2cm65f pg8t xqtac -ring constant 10 N/m. The object is displaced byz2 cxafom6t pdmg,-t5fn ga4q6c837o
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 sl5conu yz9w)dk)31 iae)u/ ndpightly from its equilibrium position,kon3y5pdceunzw /i)ua d 9)) 1 and released. What is the frequency of its vibration?

  A mass is attached to a spring.7ku 13k steipc:mhw6e1ui ( s0 It oscillates at a frequency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. Wh tk:uuw7m11h6 30eksi(scip e at is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to differen.cnd- rs8r2lot 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 fr8- dr ls.2ncorequency 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 stretc pgd2b+ii;znrd49,m ox ze(3ihes the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down a2zmx ,g3o+n iri ;ezi(bp9 4ddnd released from rest. Calculate the period of oscillation.

  A 0.30-kg mass is suspended on2b6 nqk92rk, ,c+s wge+kf.xikxcfj9 a spring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then purc.xk ,9g+k,je w9f2x q nifsk 2cb+k6lled 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 equfdf rd64gp e y:,yx9v0ilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm vy ffd,6 9ry:0xgep4d down and released from rest. Write down its equation of motion.

  An object in simple harmonic motion obeys thqve in*mq:4ymgn;g+ *es:qyson40 7r e following position versus time equati47:oyq * es0q:ir gnmev*y4+ ;sqnmng on:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the; pv.npf4 m4jq following position versus time equa4q.j 4v mpnfp;tion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following98mwpe3rnx+pu) xe: d position versus time equati rxxd9 p:mwp83ne)e+ uon:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple harmonic motion ygz5hq5 6*+syewwt t:according to the eq6qt*+ egz tsw55 :hyywuation $y = 0.50 \; \sin (18\pi \times t)$ 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 forchon9p72yq59 xknqq d;z( n; kce constant of 20.0 N/m oscillates on a horizontal, frictionless track. At t= 0, the ma;2n z k nq7c o(5xk9qyn9p;hqdss 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 complete swings iv0;mj;s sc4o(h oug0xn 8.0 s. (a) What are its frequency and period ox0s m0 ohou;(4jgscv;n Earth?

  A 3.00-kg pendulum is 28.84 m long. What is its period on Ezol+y 5;va ;kjarth?

  A pendulum has a period of 2.0 s znu4)( 3xuk g q(6 diagbh3q:oon Earth. What is its length?

  The pendulum of a grandfather clock is 1.0 m long. 1y3 rne3rvgpglc 43- qWhat is its period on the Earth31g qr3nr-c3g 4eplv y?

  The pendulum of a grandfather clock is 1.0 m laoz6v1b*f(9o kla5zt q z7iy8ong. What is its period on the Moon where the accelerati8qiko(b zavz19 tl6z7* oyfa5on due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attached to a masslessc d9jbqhjl7n64*7iqw i-n fm ( 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 freque-7lidcqj n96*i 7 fwb4mnhq(j ncy would have resulted if a 0.50-kg mass (same diameter sphere) had been attached to the string instead?

A simple pendulum consie9n7h1cvb ai3 sting of a 20-g mass has initial angular displacement of 8.0e. It osc79in1acb e3 vhillates 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 the w7fyo6 os.cj.x ave is 120 Hz j6of .s.y7cox. What is the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a g kxq32 d0g86iln7 etrm).bn ciiven time. The frequency of the wave is 120 Hz. What is the waveleg6im.kn )l0exin t8qr d c3b72ngth?

  Figure 11-2 is a "snapshot" of a wave at :aqk2 u+l/(h/kb6ahixu th00i.at 1 dz vs 5iba given time. The frequency of the wave is 120 Hz/x+dkuusqiibaah/0h 56. i1bh (:ktv 0l2 taz. What is the wave speed?

  What is the frequency of a wave which has a period ovatr./mhj1 z3 f 6.00 ms?

  What is the period of a wave with a frequency of 1500 Hx3 +pxm*is 2zt u4acf)z?

  What is the wave speed if a wave has a frequena;sk0/pux*zn cy of 12 Hz and a wavelength of 3.0 m*0z; kxn/u pas?

  What is the velocity of a wave5 lnl958dms-/svq 4wih b4xhlx s* 1rj that has a wavelength of 3.0 m and a frequency of 12 4l sn 1mjxls* 585/vw4-db9 hx lsiqhrHz?

  What is the frequency of a 2.5 m wave 9rfou82vh + alni smy(v jpz43x(n4y6 traveling at 1400 m/s?

  A piano string of linear ma jpp: 8oj,sd80rzihh5ss density 0.0050 kg/m is under a tension of 1350 N. 8zo58jrhdpi jp s:,h0What is the wave speed?

  A string of linear densityyhv.ati.c80 8r +-;g incs-ggvy +u wo 6.0 g/m is under a tension of 180 N. What is the velo.uigh vv tn8++ gci;rgo w-ayc-s.y 80city of propagation of transverse waves along the string?

A wave whose wavelength is 0.500 m is traveling down a 500 m long wi)j 4oiicnz* m/re whose total*iizo 4nc )/jm 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 string fixed 054qa/kn uc2k/ rywwtkw;w7z at both ends is 200 m/s. Which one u/20; kw kcq457nwz/tw ywkra of the following is not a resonant frequency of this string?

  If a guitar string has a fundamental frequency of 500 Hz, whic:m)c*m 5ox jy-bt5qf s +2cm5nzmrn8i h one of the following frequencies can set the string into resonmfz bc -+x5mc5r5s2imm :oqt8 jn*)yn ant vibration?

  A stretched string is observed to have four equal segmeniks.ax,,x.mzl 9, 46pfidri7jk0 df mts in a standing wave driven at a frequency of 480 Hz. What driving frequency will set up a standing wave with five ef sz6d0dkxf,.x.i ,ajk7r9 lipi,mm4qual segments?

  A string, fixed at both ends, vibrates at a frequency of 12 Hz with a stand btgwo8 gapju0).(ar;c ir+p.xu .p .ting transverse wave pattern containing 3 loops. What frequency is needed if th.;apaj0 orut cwu+ ).bggx..ppi r t8(e 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 1lt l1rb d3yf,should its length be if its fundamental , fd1bly3t l1rresonance frequency is 220 Hz?

  Find the first three harmonics of a string of linear mass density 2.00va)n kldo7dou :es-2k0;w/ax g/m and length 0.600 m when it is sw:/e2)7uvndak l ;x0kaosdo- ubjected to tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. Whexe,r(rvd9ik xgr7a9 /-b4 x gen the string vibrates at a frequex rk-iveb9d,4 a9 (/r r7xgxgency 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.