The time for one cycle ouhz6l ;;r j:; rqpj6li, fm4odf a periodic process is called the

  For a periodic process, the number of cycles per unit ti:x ojtohe*3(ime is called the

  For vibrational motion, the maximum displacement from td cq 4a25w(xbnhe equilibrium point is calleda2w4d 5bx qn(c the

  A mass on a spring undergoes SHM. When the mass is at its maximumo94lkrvbj-kx n5ba ) )6y-ata displacement from equilibrium, its instantanor-vab6a)49kj t ba)kn -y5xl eous velocity

  A mass on a spring undergoes SHM. When the mass pab vsch+bf (,n/sses through the equilibrium posith,nbc(svb /+ fion, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass is at maxim0yy27vie(ij l13gd rnh)d2 qn um displacement from equilibrium, its instany31(i)rdgqh7i0j y2n nl 2e vdtaneous acceleration

  A mass is attached to a vnor uootnj+ld20b4df 7( +b1kertical spring and bobs up and down between points A and B. Where is the mass located when its kinetic ener un4otb+no2f7 kdob jr(d +1l0gy is a minimum?

  A mass is attached to a vertical spring and bobs e1 ;uoamf g/r7up and down between points A and B. Where ismoru7a;ge /1f the mass located when its kinetic energy is a maximum?

  A mass is attached to a vertical sprdw jd;/z,0gmt)c g5x wing and bobs up and down between points A and B. Where i;g0 )dwx5gt wj,mcd/zs the mass located when its potential energy is a minimum?

  A mass is attached to a vertical spring apbl:p mz a 1zu iyd))1f/5k.smnd bobs up and down between points A and B. Where is the mass located when its potential energ k):lp/ua ydimm1zs z1bp5.)fy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-sv fz1l3 lgk fy4 (j,h e4jj.ks1dkj(hro7*al1 pring system produces what effect on the system's mea l7*o 1ldvzy ek,kg k f.hfj1hjls((1rjj344chanical energy?

  Doubling only the mass of a vibrating mass-and-spring s7;h is;yy7glu n3k2 pyystem produces what effect on the systysl2;;7hk n7yiypgu 3em's mechanical energy?

  Doubling only the spring constant of a vibrs/ +6kupj m:zfi 86o6x/n q elg;tg2hx4qaaw -ating mass-and-spring system produces what effect on the system's mecham - ql6/px4/+o fs:a6knwe8qghu ga62zxjt;inical energy?

  A mass oscillates on the q6r+ leu /(,rjitlyp 6end of a spring, both on Earth and on the Moon. Where is theju err+ yp(/lq6t li,6 period the greatest?

  Increasing the spring constant k of a mass-and-spring system causes what kind o4q:ti+rohe e k, 0 o/k0m9gpw5dofq u/f change in the resonant frequency of the system? (Assume no change in the systemefemuwqih+t9oo /o g0:5k0,dr k p/4 q's mass m.)

  Increasing the mass M of a mass-and-spring system causee+b+ai lznm 4,s what kind of change in the resonant fre+,bma4 znil+e quency of the system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-sprin; fqa n9k;/q pdtt.b2pg system causes what kind of change in the resonant frequency of the systektp2q;f9da q n;/p b.tm? (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 szexf*-d7hl : (u/nt-c7gd ouhtring of length L. For this system, when un:d7e*n d(t7--hufuc gzx/ohldergoing small oscillations

  When the mass of a simple pendulum is tripled, the time required :g:t lb 9kgmf-for one complete vibrati9lktgg -m bf::on

  Both pendulum A and B are 3.0 m long. The period of A is T. Pendulum A is twicl+j6/jz u xp y:a1i,ite as heavy as pendulum B. What is tyl6xj /,j +uzip1ta:i he period of B?

  When the length of a sc-s/r btl3s/r2h,amkimple pendulum is tripled, the time for one complete vibratk,cba/- trsrhm/3 l2 sion increases by a factor of

  What happens to a simple pendulum's frequency if both its lengt52:2 -nh qzgcxmowrc2 h and mass are incrxcgh2 r2zwmo -qcn5:2 eased?

  Simple pendulum A swings back and forth s kx524zkwkuu mvaebf,d-i;)rv ,)4 iat twice the frequency of simple pendulum B. Which statement ismk es d w-,)5ui,xu kvzrk4f ;4a)i2vb correct?

  If you take a given pendulum c p.wnc0+m:bfy d:9lwto the Moon, where the acceleration of gravity is less than on Earth, the resonant frequencyd+ln.ywb0cp9:m:fc w of the pendulum will

  Curve A in Fig. 11-1 represent;fs f0x s;nzb) kdoge:70b4n ds

  Curve B in Fig. 11-1 remq l, 8ea5 /jvcvgq*y+presents

  Curve C in Fig. 11-1 reprembqnunng o,+ p07rtos4i1o cp6h4 6 .xsents

  For a forced vibration, the amplitudy jq/ ,j(g(.oobcl-bjj h1eu6 ky: matn/ )fk6e of vibration is found to depend on the

  In a wave, the maximum displacement of points of the wave from equili simmx5orm8 8.brium is called thms 885mixm ro.e wave's

  The distance between successive crh -ija)joqabs0yqp) p r21;q3 ests on a wave is called the wave's

  The number of crests of a (1osjc f*-o dsl)fy5zt(d l n6wave passing a point per unit time is called the wave's)5syold - lj(nz6 s1codtff(*

  For a wave, the frequenca:vx-9tou( fky times the wavelength is the wave's

  The frequency of a wave increases. What happens to then+r zlww*i* e24hfd1up;hxw 4 distance between successive crests if the speed remains con*z24r+u wphlw*;nfh4 1we xdi stant?

  A wave moves on a string with wavelen bh7wk+(z ud9zf bn)4xgth l and frequency f. A second wave on the same string has wavelength 2l and travels with the same velocity. What is the frew)h+u xd 7k(b zb94zfnquency of the second wave?

  Consider a traveling wave on a string of x;/w1akz3g/7fhi s wn length L, mass M, and tension T. A standing wave is set up. Whic 1 3nwif;hzxw 7gaks//h of the following is true?

  A string of mass m and lenbubek*-ocduw dj+(, ;gth 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 strikudcb , ;u-bw+*dj(o eng 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 speg; oo e.jfe)i)ed of a wave in the string is v. What will be the speed of a wave in the string if the length is fo;.jioeg))e increased to 2L, with no change in mass?

  A string of mass m and length L is under tension T. The speed of a wave 3ns v.iy-qfo9in the string is v. Whatiy f3vsnq-o. 9 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 ;*fm+y mapb5:nua i,tthe Earth, the relative motion between the S wave au+at piym*5ba nm:f; ,nd the particles is

  In seismology, the P wave is a longitudinal wave. As a P wave travels throu5o;sxbf/5jn bvv*2mew7b- r n gh the Earth, the relative motion bems* nxj7n5vvb; wb-f/5 ber2otween the P wave and the particles is

  The intensity of a wave isi x-i75cwbj y;

  A wave pulse traveling to the right along a thinn/zr(ba ;2-gw h0yrvb cord reaches a discontinuity where the rope becomes thicker and heavier. What is the orientation of the reflected and tran wr-nv/;b2y0(gr zhab smitted pulses?

  Two wave pulses with equal positive amplitudes pass each other o2ow47.wc nwyy n 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 sam7w 4y2wc.wnyo e time

  Two wave pulses pass each other on a string. The one travee jk r*bqowlq5/43w azc3y0e,ling 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 the same time5ekjaey43zrwl /0 3qo, cqbw *

  Resonance in a system, such as a string fixed r ,nu8 qlnu0)bat both ends, occurs when

  If one doubles the tension in a violin string, the fundamental frequencqhwv ;x-) us0oy of that string will incu )x;hsq0wo-vrease by a factor of

  What is the spring constant of a spring that stretches 2.00 cm 0 eat;kb,od/t-.d xqtwhen a mass of 0.600 kg is suspa,xe/dt-d. bkq; o0ttended from it?

  A mass is attached to a spring of spring constant 3 e1*tekoo9t b f/dk*p60 N/m along a horizontal, frictionless surface. The spring is initially stretched by a force of 5.0 N e1b*d 9 t/k*ptf 3keooon 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 spring of spryt:e pm:l9csrx;g *6+ q:ahwhing 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 oscillatiomag9y:w*hh+cp;x te :q6rs: ln?

  A mass is attached to a spring of spring constant 60 N/m along a hm-qnbtj/o 9t-4(aawm (i ;v+ynyfiq- orizontal, frictionless surface. The spring is initially stre/b9m o(-n wny -f-iy+ ttvai(4q qja;mtched 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 oscillation?

  A mass on a spring undergoes SHM. It goes through 12j1 r 0ivhoqvytd*(t 0xc /7uu0 complete oscillations in 5.0 s.ur(0c tv0o1d2ujti7 * vhqyx/ What is the period?

  A mass vibrates back and forth fe t p ys,o 2ai;xmy qqy5x42wr7dgf+,2rom the free end of an ideal spring of spring constant 20 N/m with an amplitude of 0.30grx+q;ye5tyi, qxds2 fw42 2omap,7y 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 l 1fza d:xh;d633lcx xt.oi )kconstant 20 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 total energy of the syslda oxfc 3xz3 :)k1txh 6i.;dltem?

  A mass undergoes SHM with amplitudel9, o:x wq68yn yj6ufr of 4 cm. The energy is 8.0 J at this time. The mass is yu l8w 6:q,fxjn9oy6r 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 sprik3 u*ova+pbs .0nk2if ng of spring constant 20 N/m along a horizontal, frictionless sur2isba03k*ku o.fnp v +face. The object oscillates in simple harmonic 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 cwt mbdu *7l0c 5 pf9kp;.nvi7tonstant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motiond9. pk0tb7cf5nv7 ;wu i*p mtl 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 sprb7,pye/kr1; g7vdvab( z(atl ing constant 50 N/m and set into simple harmoni( (bgdeva/t7bkpr 71 ,ay; zvlc motion with an amplitude 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 horizontal spring of spring jhf)r5 y0vcbhxz+s,1constant 50 N/m and set into simple harmrv)sh5,fhjy 10zbx + conic 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 of spring cbk5q017 g lsv pae3iek2 vh5,vonstant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kinetic energy of this vibrating 57vek pa,ghv0bvkqsile1 23 5mass?

  The mass of a mass-and-spring system is displaced 10 cm fr y sg(kz sj-yb,5 lx/mcv)i54kom 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,s g/kkis4l y jxyz-bmv5 ()c5 5.0 cm and then released?

  A 4.0-kg object is attached to a spring of spring constant 10 N/m. The o(4lf+8tj9 c+lllbn,df;z x lvbject is dibj++d l;4vlx zt9fncl,8lf l( splaced 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 3)(lwpo -1 j3iucpbq sconstant 10 N/m. The object is dip(c3pol 3) 1 j-usiqbwsplaced 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 +aw fu33(osfgw qy 2p+fn1 jlve7 k/y9a spring of spring constant 18 N/m, displaced slightly from its ek(p3f7q+yso/yavlg2fu f1w+ 9 j 3w nequilibrium position, and released. What is the frequency of its vibration?

  A mass is attached to a spring. It oscizaow v4w 0pw; n2:,hpnllates at a frequency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What is the maximum ;w,p2wpn o 4w :0vazhnvelocity attained by the mass?

  Two masses, A and B, are attached to different 4bv x40xts(tbsprings. Mass A vibrates with amplitude of 8xb4 (s t4t0vbx.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 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 stretches0 tv6b6e7+1woqbdc vq the spring 2.0 cm downward. The mass is then pulled an additidq0 b6q1t6obw+v e c7vonal 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 equilibrium the masse4uh5 )0x,oizoqws o* stretches the spring 2.0 cm downward. The mass is then pulled an addqe5 s*zi)x4w ,huooo0itional 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 equinrva o+)0f)p plibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and released frpan )0)vo+ rfpom rest. Write down its equation of motion.

  An object in simple harmonag;bw: * )ntamic motion obeys the following position versus time equ) w*btmag: n;aation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following position versusj./ng kmzv9 :cq8h* ff time equ*j98zg q/mvkch .fn:fation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following p/3*mz rj 1kjr kxib/m8osition versus time equationzr/m1m*x 3k /jjki8rb :
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end ooget9bsx, w60f a spring executes simple harmonic motion according to e6w ,tg0bso9xthe 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 m 6shwpb+mbgjc10 2m4constant of 20.0 N/m oscillates on a horizontal, frictionless track.m46+ bmb mjpcs 2ghw01 At t= 0, the 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 c/pt5pmbcfe -e2vi;c 3 omplete swings in 8.0 s. (a) What are its frequency and perie 3mp-pv5;f ci/et bc2od on Earth?

  A 3.00-kg pendulum is 28.84 m long - y6-/pcdc1mu-mbr 8sgkz p.n. What is its period on Earth?

  A pendulum has a period of 2.0 s on 4p 3srfk6l5g t5m i4iznf(uz3Earth. What is its length?

  The pendulum of a grang(zl(g k nn 2v30jt51v roy1vhdfather clock is 1.0 m long. What is its period on the Earth?voj2(r n1v 3h yt5nggz(1k vl0

  The pendulum of a grand,nmagl :t-p1kbbs40bl8etm h/ 7p ax0 father clock is 1.0 m long. What is its period on the Moon where the acceleration due to gravity ip0l1bgk:xb, mt 8t0en4-sbh amp la7/s only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attahxothy6 *d(k( ched 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 frequen (oxhh6*y (dktcy would have resulted if a 0.50-kg mass (same diameter sphere) had been attached to the string instead?

A simple pendulum consisting of a 20-g mass has initial angular displace 3j;mdi6 yrcy- t85nzmment of 8.0e. It oscill8y 3zr5m i6- d;nmjtcyates 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 "snahjgs/5s uhi/vy74 de7pshot" of a wave at a given time. The frequency of the wave is 120 Hz. ushdhgis47e j/y5 v/7 What is the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given time. The arn ,k0zsx)gz7yib8 0frequency of the wave is 120 Hz. Wg8 z)x7skn0ayi0,bz rhat is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frei28a1o/x( s tczgn5cy quency of the wave is 120 Hz. What icsacg8(2tx in1 z/y5os the wave speed?

  What is the frequency of a wave which has a perit4n f;(s 7djck5v/,hn 4cxzliod of 6.00 ms?

  What is the period of a wave with a frequency of 1500 Hz4zre l0v0gt4jtjr)j,tru 5 a+?

  What is the wave speed if a wave has a frequency of ,c ua(+g9z g k(ekssp2;n/ r)mn0 jhga12 Hz and a wavelength of 3.0 m?a,mzggcs h/ak02;(k n jrn g +eus9p()

  What is the velocity of a wave that has a wavelength of 3.0 m anx5d*mk p3v2+bc 4uiws d a frequency ofid4wsb5*kxc pvm2 u+3 12 Hz?

  What is the frequency of a 2.5 m wave th1z/5l h.wxqx raveling at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is under a tension ofh6uu l 7ise:/.b0akw 9gvs/m u 1350 N. What is the wave sp:g aklbsie7/m v h/.09su6u uweed?

  A string of linear density 6.0 g/m is under a tension 2yk2o4n ,a,g* sectq2pq (epnh9k *qwof 180 N. What is the velocity of propagation of transverse waves alok22,*q ynknh ,t9w(q eq2os *a4epgcpng the string?

A wave whose wavelength is 0.500 m g0hyqpr51du ( is traveling down a 500 m long wire whose total mag(h 1d0p5yrquss 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 propagatn va;9bnzn;z) ion of a transverse 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 frequ zba9nnn;)z ;vency of this string?

  If a guitar string has a fundamenta-i 98z+ap foma;:w3xj7yk i ebl frequency of 500 Hz, which one of the following frequencies cmb-;:i8w xfkajy+i937po ae zan set the string into resonant vibration?

  A stretched string is observed4u1erdrl9 2hxh8zx7+ e:bntj to have four equal segments in a standing wave driven anx4lxjbr u7thd9e e8rh :z2+1 t a frequency of 480 Hz. What driving frequency will set up a standing wave with five equal segments?

  A string, fixed at both ends, vibrates at a freqge eee-5 7u 8(f+d kfv.co3aowuency of 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency is needed if the standing wave patt oo73(dfueeag+f c5vk8we.-eern is to contain 4 loops?

  A string of linear density 1.5 g/m is under a tension of 20 N. What sa (9mcy6h x5ii0w6b9x4c.5wg oygvf bhould its length be if its funda6 ghb4bwfym 5.(ac5 ow yi69g i90vxcxmental resonance frequency is 220 Hz?

  Find the first three har8qowg s7czcoq69/yycp; l:a 5monics of a string of linear mass density 2.00 g/m and length 0.600 m when it is subjected to ten 9oo7aq 8 wc 6yl/sycg:czpq;5sion of 50.0 N.

A string of length 2.5 m is fih75ll.r8z pfk,f /ywie(fb9q xed at both ends. When the string vibrates at a frequency of 85 Hz, a standing wave with five loops .lqh7b9p8i/f,kz5(rw ey ff lis 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.