The time for one cycle of a periodic process is called se; o 90omj:sug2r4abgg9/ ya /uy6ds the

  For a periodic process, the number ofx) bps:ru7oqvvhlx4xh4wt711av ;9 o cycles per unit time is called the

  For vibrational motion, the maximum displaceme2)*w qxlx*/uharla/e pb7 zy)nt from the equilibrium point is called tuzb) aelyh2xaw/qp* /x)l7 *rhe

  A mass on a spring undergoes SHM. When the mass is at its mam6*r.yhu(l f uximum displacement from equilibrium, its ins(hf r.l*u6 ymutantaneous velocity

  A mass on a spring undergoes SHM. When the mass pas(wd8 /ji3l cydl/cs5k8 xep( gses through the equilibrium position, its instantaneous velocitcylg 8pd5/ 8(s/jiec3wdk(x l y

  A mass on a spring undergoes SHM. When the mass is at maximum displacement fdzk.va-a1 st l :mi(9ju rs9g9rom equilib 9v akslu(sr9d m-tj1aiz.:9grium, its instantaneous acceleration

  A mass is attached to a vertical spring and bque.twy84 7z w)z n*zlobs up and down between points A and Bwtz *lwyznq78).ez4 u . Where is the mass located when its kinetic energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down between poin um1 xe-az7;g, awo4r*g 2gpedts A and B. Where is the mass located w;z 2-p e rag4o*e1dw,gxmua7 ghen its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up and down 9ubl*jbn) whvpx, hk7+x 8 s)ibetween points A and B. Where is the mass located when its potential energy is a mix +p,j9w l7u*isnhkx8 b)hb)vnimum?

  A mass is attached to a vertical spri-,(6 *u9j 4a4gnokdy l2sb,kna kxxwong and bobs up and down between points A and B. Where is the mass locateu a94 d*24ay -wo kxnolxg (k,k,j6bsnd when its potential energy is a maximum?

  Doubling only the amplitude gd e0/ba8)s+kf(dcao of a vibrating mass-and-spring system produces what effe)acbd0oa+s / df(gk8ect on the system's mechanical energy?

  Doubling only the mass of-pxhni 0o i9x( a vibrating mass-and-spring system produces what effect on the system's mechanical eni(0xi 9-hpnoxergy?

  Doubling only the spring constant of :r/7fjssyzsk fyvzbz-12 4+ sa vibrating mass-and-spring system produces what e -sb srvzzz2k1f:s/y+7yjsf 4ffect on the system's mechanical energy?

  A mass oscillates on the end of a +crpfu / m6v*cikj:g3spring, both on Earth and on the Moon. Where is the period the grur:c 63if/*cmpv k j+geatest?

  Increasing the spring constant k of a mass-and-spring sl1bgudm8) gf)(p dyr -ystem causes what kind of change in the resonant freque(r yd-gm8 dbu)l1 fpg)ncy of the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mol:l91m yh;h 6qs u2hdass-and-spring system causes what kind of change in the resona9 h1q;62shu:yd olhlmnt frequency of the system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system 3qmk7q n-q prpdvg8(g.b h6g0causes what kind of change in the resonant frequency of the system? (Assume nq3g-6q m8 rbd7pgk.vqhg0p(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 st+. -erxvvj nyi ,n/t2jring of length L. For this sy/v+ r.ijy -et jvnx,n2stem, when undergoing small oscillations

  When the mass of a simple pendulumz4l.j4 2e+ mlruydn8m is tripled, the time required for one complete l. m42ez4yj m8d+nulrvibration

  Both pendulum A and B are 3.0 m long. The period of A is Tew-28z)w ,9b zfaf( tepwq6nf. Pendulum A is twice as heavy as pendulum B. What is th , -2ef bfpza w)wfeqz6(ntw89e period of B?

  When the length of a simple pex 5olq7 ps0c lru:hb84ndulum is tripled, the time for one complete vibration increases by qxll:hbsr p807uco 54a factor of

  What happens to a simple penhnqqmk ,xb,44dulum's frequency if both its length and mass are increa ,mkh44qxnbq,sed?

  Simple pendulum A swe) cxa k;d.eqksuf5x6 x2.rl,ings back and forth at twice the frequency of simple pendulum B. Which statement is corre25x kdexsef.;., qx u6)rk alcct?

  If you take a given pendulum to the Moon, where the acceleration zgq1d k4qcdj.ma ;1;efms; f5of gravity is less than on Earth, the resonant frequency of the pendulum willzs 5k gfqa;edjd.mc4qf1 m;;1

  Curve A in Fig. 11-1 repr yyf2 eba ;pn(g.d/toemq+6;j esents

  Curve B in Fig. 11-1 represeqj8rw a 6x1a4wwukh. .nts

  Curve C in Fig. 11-1 rhm 8 sz4ym-be7epresents

  For a forced vibration, the amplitude of vibration is found to depend on ; p+c cs;fj2vnthe

  In a wave, the maximum displacement of points of the wave fj n1 ev,-mb-phfk b0l1 ,zr1plrom equilibrium is called the wavhmv jp-fkez r- pln,b 1b,11l0e's

  The distance between successive crests on a wave is called the wave'se5;vuni 93x ew

  The number of crests of a wave passing a point per unit time is called the wp+emdhmsn+e -d+5qhs:z 5l 2 ze/7fciave'+5mcelzs ddeh7h-+5m nz eqi+/p2s: f s

  For a wave, the frequency timeg0 oq0yyhefe upeth*(6q +d -4s the wavelength is the wave's

  The frequency of a wave increases. What happens to the distance between succehx ps,;smjmi6p ,6bx5 ssive crests if the spmpspb,,x xhms566 ; jieed remains constant?

  A wave moves on a string with wavelengtho7 x/k3j )cwol l and frequency f. A second wave on the same string has wavelength 2l and traj)c3owk/l 7o xvels 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 6: o;kw8 ; ahwzp*2 5(naqvkchxz)udttension T. A standing wave (:ukhz*z6a x;k 5 w2 dtcn)vqop a8hw;is set up. Which of the following is true?

  A string of mass m a2eqz1 wd2.ubyc;qhueueglvc( d8(:.sx b t (.nd length L is under tension T. The speed of a wave in the string is v. What will be the speed of a wave x2 ;:cq1t (ve2(8y.de .ubs.hb( l cguwuqdzein 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 speed qc:0b0ps vno4osg amr x,p z48lf.t:(-cs dd 0of a wave in the string is xcv opsqd0bsno r8a0l f4(ms.gd:0: t cp-z,4 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 and length L is under teb3a/p n:zu(rl nsion T. The speed of a wave in the sla zb(n:pu/r3tring is 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 wave. As an S wave travels through te* wma++z9o9 as5zd(z*njn ip he Earth, the relative motion between the S wave and the particles*e+i 9 zad nnzmwp*95o( zs+aj is

  In seismology, the P wave is a longitudinal wave. As a P wave travels through t lq5b7fgj2 1guue9tan 4 p42fm4 csnm9he Earth, the relative motion between 47ba92lnnp uu4et51g29 gjc4 mffsm q the P wave and the particles is

  The intensity of a wave is,( ti)a+nltq p

  A wave pulse traveling to the right alon.qa,f-5g o trhr +8uvmet;2iy g a thin cord reaches a discontinuity where tth;r imyr,. t+-eq v8a u5fgo2he rope becomes thicker and heavier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each other oo rn(hwvw-( i; 64eaxrqfmu;y4 uqg* ,n a string, one is traveling towa mnr *6x,; fuqw;i- ev(rwouq4ahg y(4rd the right and the 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 sc2y(j8q*fvok-n +vap ,ucf 4 one traveling toward the right has a positive amplitude, while the one traveling toward the left has an equal amplitude in the negative dirv-ap,2y8f+fq njv s4 *( uckocection. At the point that they occupy the same region of space at the same time

  Resonance in a system, such as a strisq mdd)1 kr6; uagr5y/ng fixed at both ends, occurs when

  If one doubles the tension in a violin string, the fundasb,p5j/.a1 urjy8f vu((vbynb5hd k 8mental frequency of that string will increase by a factor osd.r jy1,8 a5 nf vpvu (8khbj/u(5bybf

  What is the spring constant of a 9vxe0-0s oxk vspring that stretches 2.00 cm when a mass of 0.600 e -s vkx0ovx09kg is suspended from it?

  A mass is attached to a springqu;cq nv4 7+ds 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 +s ;vqc4nu qd7it is oscillating. What is the amplitude?

  A mass is attached to a spring of spring constant 60 N/m along a hor2qz mo/jxz9cv; z( n3pizontal, 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 oscixjnpz 2qoz (; mv3zc9/llating. What is the period of oscillation?

  A mass is attached to a spring of spring constant 60 N/m along a hort k3p *ad7v-o 95hshlsizontal, 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 frequency of oscillationv hah97ts ks o3p5-ld*?

  A mass on a spring undergoes SHM. It gosol f kgjlc+i01y*:-ses through 10 complete oscillations in 5.0csl yg-jis:l1f+ 0k*o s. What is the period?

  A mass vibrates back and forth from theprmt01 qxa 0k4 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 0rqa01x k4pmt it is 0.30 m from its equilibrium position?

  A 0.50-kg mass is attached to a spring of spring co2 btkpj +y/x;6 mhe/yrnstant 20 N/m along a horizontal, frictionless surface. The object or2kye;ht/ pm +6x bj/yscillates 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 this time. 8ooabiythz (q:b 8; s4 The mass is cut in half, and the system is again set in motion with amplitude 4.0 cm. What is the enerqabzhbo4 s(8;:iyo8 t gy of the system now?

  A 0.50-kg mass is athit0v) uwgw6j *r/w, ptached to a spring of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmo /t pg)uijvw h,6rw*0wnic motion 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 N/m alonmz*mwai)g l8c ,x gh,5g a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a sp8*ghz )l,gaw, m 5imcxeed 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 spring constant 52 c c*mkcqgy5qz(n0w* 0 N/m and set into simple harmonic motion with an a*gzn*c0 qc5cwk (m y2qmplitude of 0.10 m. What is the total mechanical energy of this system?

  A 2.0-kg mass is attached to the end of a horizontals d ci1mi-k ip/+3+rpe spring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is thp i/ri dpik+e+m -c31se total mechanical energy of this system?

  A mass vibrates back andsjpl nm( (psty*i+h6(okywix km6 (62 forth from the 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 energy omo6pk y s6(*ims nh pt6y (xl(2wk(ji+f this vibrating mass?

  The mass of a mass-and-sx-okgd- w w3e)pring system is displaced 10 cm from its equilibrium position and released. A frequency of 4.0 Hz is observed. What frequency would be obse3dwe -)-wxkgo rved if the mass had been displaced only 5.0 cm and then released?

  A 4.0-kg object is attached to a spring of sprse2by,gd k :;ping constant 10 N/m. The object is disgyb 2,skp de:;placed 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 spri-gv,2.m hnz ring of spring constant 10 N/m. The object is v zrn2,.gmih -displaced 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 slu 8*y61qe gqzoex/x4aightly from its equilibrium position, ay/xq4z q6e g* uexa18ond released. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillatew ,cn56:fi-6p c wl/b2dzlryls at a frequency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What isl,6p y w nb:cl5l62wc rdfi-z/ the maximum velocity attained by the mass?

  Two masses, A and B, are attached to different springs. Mass)+t oq jqwx4r0p-ogzv o*xhd)ezb7g5(1 b6oe 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 16 Hz. How doezox5o qg vt)q eh4ob )+j -(zgrpexb0d 17wo*6s the maximum speed of A compare to the maximum speed of B?

  A 0.30-kg mass is suspended on a spring. In equilibrium q2rnu x2.z 6ndthe 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. Cal2nn qx6 .dzur2culate the period of oscillation.

  A 0.30-kg mass is suspenddn bx7m:5u5;b rjn79 6dfvmvwed 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 rest. Calculate txb d;7nw:5mvb5dvr mf nu7 6j9he total energy of the system.

  A 0.30-kg mass is suspended on a spring. In ea:4m bsycf2z8quilibrium the mass stretches the spring 2.0 cm downward. The mass i8m4c2az y:f sbs 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 versus tim2nqadkd ( ah.8e equat2(nq.a d8hdk aion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following pos+qv81lj1e ddre ))ifkh )go v(ition versus time equatv ldv1f8j)oe()iq 1 rgek d+)hion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obn (:k hfb7 2 ld+d7blgx+q9czo.xevd5eys the following position versus time equationb b+:dd(5l9 7kz.h lxfoevcq2 gd7+nx :
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring cz;i,t2,t rloq8ti8g)ku ;p jexecutes simple harmonic motion according to the equatioc ,t igru;zt8ti;8lq,)2 kojpn $y = 0.50 \; \sin (18\pi \times t)$ 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 a1st *n st5rm6constant of 20.0 N/m oscillates on a horizontal, frictionless track. At t= 0, t5 6srtm1n ts*ahe mass 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 in 8.0 s. (a) What are its frequency anqmfb,f f;cf 0c1: xc*nd perimcx1 qc:nf,fc* f0bf;od on Earth?

  A 3.00-kg pendulum is 28.84 m long. kjxm2w i/nzap:s5t0 9 What is its period on Earth?

  A pendulum has a period of 2.0 s on Eu*zb /xah 8s21,yzp tharth. What is its length?

  The pendulum of a grandfather clock is 1.0 m long. What is its per ei2p/+kys b.16fm l.k;zd rif+tor) hiod on the Earth ).pysb+t.+klhr16o r/mzi ;ef df ik2?

  The pendulum of a grandfather clock is 1.0 m long. What is its period )a2cpx1;hpgxon the Moon where the accelerat1p p2ahc )xg;xion due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attached to a massless stn8 yqykuei44d*zo;y y7.bg4tring. When the mass is displaced slightly fro y4y7 4qb8 yuy* gzdoikt.4;nem 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 instead?

A simple pendulum consisting n u8)-2hjahckzi /t f8of a 20-g mass has initial angular displacement of 8.0e. If )az/hhj2tn-u ik8 c8t 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 gie/u/qon7 8x sw6amt3iven time. The frequency of the wave is 120 Hz. What is 8sx n7 q3ia/ mte6uwo/the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency :/k,8x timwil -ja* kfb7tmp9of the wave is 12t :8 mi lbjkf7maxw,9p* ik-t/0 Hz. What is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given time. r/)0gt8w gtuo The frequency of the wave igw)u 0rtg t/o8s 120 Hz. What is the wave speed?

  What is the frequency of a wave a0 :(73sp/uekne kbgh vku:4nwhich has a period of 6.00 ms?

  What is the period of a wave with a frequency of 1ghsng//i ;+xkwun.au ;1 fnd8500 Hz?

  What is the wave spe jhs 5s 2bqd(ni33a-xsed if a wave has a frequency of 12 Hz and a wavelength of 3.0(dnji52- s q33asshb x m?

  What is the velocity of a wave that has a wavelength yzs(qs6 +i-x 4h.vakn of 3.0 m and a frequency of 1 q4 y-6axn is(+z.hkvs2 Hz?

  What is the frequency ax9 e7mcxy +9dof a 2.5 m wave traveling at 1400 m/s?

  A piano string of linear mass density 0.00506 oasu t 5b7s4;w9 jrpku7;dqt kg/m is under a tension of 1350 N. What is u ;4bs9 toq5 ;uwdt7k7japr6s the wave speed?

  A string of linear density 6.0 g/m ib02:;t7r :nr o vgzasv*7hdpks under a tension of 180 N. What is the velocity of kr*rvpzd tn7os 7hav0 ;2b ::gpropagation of transverse waves along the string?

A wave whose wavelength is 0.500 m is traveling down a 500 mth(u ( xc4kkq 6a(4ze9+rt soz long wire whose total mass iek6z at x(hc+s(krtz4uoq94 (s
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 transverseqbf ,(m:zzz-v,1 w3q an7cz vw wave on 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 this string?71(zw, w3zvv:, b nf-qqcamzz

  If a guitar string has a fundamental frequency of 50:u q(- u;padgf0 Hz, which one of the followin p: dgfa-u;uq(g frequencies can set the string into resonant vibration?

  A stretched string is observed to have four equal segments zhp2/p -dw/ 5 mrdc8aw(qw4x cin a standing wave driven at a frequency of 480 Hz. What driving frequency will set up a sta/ wqzpwr(58pach /- c dwd2m4xnding wave with five equal segments?

  A string, fixed at both ends, vibrates at a frequency of 12 Hz with a /)uc1 4ykjvxbrtfhe2lb .1u3 standing transverse wave pattern containing 3 loops. What frequency is needed if the standiyu3rc1 bl1. f)t4 hejvxb/uk 2ng wave pattern is to contain 4 loops?

  A string of linear density 1.5 g/m is under a tension k7u9 ,hm wd5,qfihim2 of 20 N. What should its lengfh9qmwii 7dku2,, 5hm th be if its fundamental resonance frequency is 220 Hz?

  Find the first three harmon2x4q h5xipnnv;(nfg yzy 1v iw876ay,ics of a string of linear mass density 2.00 g/m and length 0.600 m when it is suv waqn i hxv;57inxgzfy6,pyyn 14(82bjected to tension of 50.0 N.

A string of length 2.5 m is fixed at both (7u8,*zel mqfx ;v* ke 3wgpnuends. When the string vibrates at a frequency of 85 Hz, alevm8*p, 3;guu q*e (fz7w nkx 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.