The time for one cycle 59exoqxih 6*xoxkk qv()yata q -13 8nof a periodic process is called the

  For a periodic process, the number of cycles wsec+):e (zdr -xp7yd per unit time is called the

  For vibrational motion, the maximum disp5:erhudp 6kz:g0 f l8(les b*xlacement from the equilibrium point is called thed kexfz0eg:h* 8l5 purl(:6 sb

  A mass on a spring undergoes SHM. Whl (y 2sp;mf,xzr8asf/en the mass is at its maximum displacement from equilibrium, its instantaneous vfzfs,as8; pr(y mxl2/elocity

  A mass on a spring undergoes SHM. When wsr/y *cl al0gb;(y*mthe mass passes through the equilibrium position, its instants*ly(;ml/bac 0wg *ryaneous velocity

  A mass on a spring undergoes SHM. When the-kiz;wrn6x h1k1;9gi47g*s lfqg pmj /8gqy e mass is at maximum displacement from equilibrium, its ingqig;/m-i g zh;wr18*fs1enkg pq96 74jxlyk stantaneous acceleration

  A mass is attached to a vertical j 6fweor8ht0l+0*7(a vpmpjdw5abs. spring and bobs up and down between points A and B. W 6folt(v 0 j*dwa0h+besa.pjp57mw r8here is the mass located when its kinetic energy is a minimum?

  A mass is attached to a ve f rtczp4566bbrtical spring and bobs up and down between points A and B. Where istz 4bb66rp cf5 the mass located when its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up and down betweenamb 607* zdbeu points A and B. Where is the mass0ea zu bdb76m* located when its potential energy is a minimum?

  A mass is attached to a qyxr3(o e*vg 4ib/x. kvertical spring and bobs up and down between points A and B. Where is the mass located when its potential energy is a e (xx 3i*qr/gybovk 4.maximum?

  Doubling only the amplitude of a vibrating mass-and-sp )acae s66hu813z0brqsop oc8 ring system produces what effe eh rzqcpa1cuoa3b)8o s60s68ct on the system's mechanical energy?

  Doubling only the mass of a vibrating mass-and-spring system producok+(zs8ye .qs es what effectqssz e(o 8+.ky on the system's mechanical energy?

  Doubling only the spriyfg. rka/syn 7z-e)ucroh 0+7ng constant of a vibrating mass-and-spring system produces what effect on the system's mechahyz.rr-ne7 g 7+/0 yk sa)fuconical energy?

  A mass oscillates on tsa9mx0 t28fo z+jw2g dm 07qfwhe end of a spring, both on Earth and on the Moon. Where is +td 0qj9xg280 mom z72wafwfsthe period the greatest?

  Increasing the spring constant n) sacbx /t)h-k of a mass-and-spring system causes what kind of change in the resonant frequency of the system? (Ass-c)a/sntb h x)ume no change in the system's mass m.)

  Increasing the mass M of a mass-and-smwa9(oy.nhgn6d7u 3 ws- av.q pring system causes what kind of change in the resonant frequency of the system? (Assume no change in the system's spr7y.nuwa-(g9vohd q6 s3wa n.ming constant k.)

  Increasing the amplitude of a mass-and-spring systemx:dpnw em d;-(n7h0flbu5bcl tt0. -a causes what kind of change in the resonant frequency of the system? (Assume no nxllb un 0p(htam;w:t-7-0.dc bdef 5other 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 consistszv32b44uk7ggc qv lb9 of a mass M attached to a weightless string of length L. For this system, whe44 zgbc7 v gkbv39qlu2n undergoing small oscillations

  When the mass of a simple pendulum i2h e6 x.pjek/sv8x5c rs tripled, the time required for one complete h/p.5 vr2c6xxjse8 ekvibration

  Both pendulum A and B are:r y0kii(xruxhqqx nh-vg :u/i*, i20 3.0 m long. The period of A is T. Pendulum A is twice as heavy as pendulum B. What is the (: xu02hu 0x g,:r-qi*/ivh iqxkr nyiperiod of B?

  When the length of a simple pendulum is ,jso,j 2tw k*,gnk)fs ju.rx ht2,i 9stripled, the time for one complete vibration increasoj.ku9rt2 gf i2j,stw, k)*sjn sx,,hes by a factor of

  What happens to a simple penduo omqau6 -z,(zlum's frequency if both its length and mass are incz, zqum oao-6(reased?

  Simple pendulum A swings back and forth at twice the frequency of simple pe4l)nv1)rsw o nndulum B. Which statement is correcov)) nn1rl ws4t?

  If you take a given pendulum t.f+(b u-yloszhgy4 *zo the Moon, where the acceleration of gravity is less than on Earth, the resonant frequency ofzgy.b sf- *h(o4 +lzyu the pendulum will

  Curve A in Fig. 11-1 represepj( hj;k5: tn m,kn7nynts

  Curve B in Fig. 11-1 r5spjtye0( 7 n,jsuxu2epresents

  Curve C in Fig. 11-1 r.sizc,l m - ,jli3wi4vepresents

  For a forced vibration, tope )zm9, imoc+/.zghhe amplitude of vibration is found to depend on the

  In a wave, the maximum6zb2vga xq9w1 displacement of points of the wave from equilibrium is called 6z2bwx q91 agvthe wave's

  The distance between successip h2m4h;:v z3t;tc- oe .3nhfytujsup u*:e8tve crests on a wave is called the wave's

  The number of crests of a wave pfifj :v+7v7i3ud2fx put)- kzassing a point per unit time is called the wave's7p7ztv u f:f)+dv fu3xi ji2-k

  For a wave, the frequency times the wavelength is ths82 7nepqqja qb3q(p- zg :op;qm*xj) e wave's

  The frequency of a wave increases. What happens to the distance b spl1c+ r;osn* ud5wt/m w:q7qetween successive crests if t oc ;+t7wqludrnsm:p* 51/qw she speed remains constant?

  A wave moves on a stringimhv5l7)s ibu3mr uzz7grr.( 3 rc,u- 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 5uhm7gumsiizr3(rvr u.z7 ,- 3 b)lrc frequency of the second wave?

  Consider a traveling wave on a string of length L, 2+tb.pb;tg,g x wc*nhmass M, and tension T. A standing wave is set up. Which of tcwth.+2pg; x *nbbg,the following is true?

  A string of mass m and length L is under tensi63sch k(rsjv2on 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 increased to 2m, with no change in lens6j svh3k( rc2gth?

  A string of mass m and length L is under tension T. The6 *o, f8 -q3(i/yj 4yynx0yyocrcn jfb speed of a wave in the string is v. What will be the speed of a wave in the j*8 y c/( 46orn,nfjyy3qb0 fy-oxicystring if the length is increased to 2L, with no change in mass?

  A string of mass m and length L is under ttl wm( u(-q2d l+g8bfhension T. The speed of a wave in the string is v. What will be the speed of a wave in the stringd(uq m bg+tl 8-w2f(lh if the tension is increased to 2T?

  In seismology, the S wave is a transverse was 6sq4p i5)oylve. As an S wave travels through the Earth, the relative motion between the S wave and the particpss4qli5o) y6les is

  In seismology, the P :wjli/s8p u+(daedl) ,f22 i:c y9fu, sahwsh wave is a longitudinal wave. As a P wave travels through the Earth, the relative motion bp iy(8 / a 2s:ud c)wjahsf:lul,s+9w2d,e hfietween the P wave and the particles is

  The intensity of a w8roupcxx *+, vave is

  A wave pulse traveling to the right aln yn/puvx(j)/g4ffoubpe2t.y p .(*yong a thin cord reaches a discontinuity where the rope becomes thicker and heavier. What is the orientation of the reflected an y/ppyx(fu/e )jbfugny t2 *.v .(nop4d transmitted pulses?

  Two wave pulses with equal positive aer d nlb-qnz9j/,y 0030 orrpzpi3p1smplitudes pass each other on a string, one is traveling toward the right and the other toward the left. At the point that they occupy the same/ ,pznn 1e0o0srbqli903ydrjp p3zr- region of space at the same time

  Two wave pulses pass each other on a string. :+r( fr * wma.)dv14/jui ffli ndrr0fThe one traveling toward the right has a positive amplitudrd1arrj:w mu0 rff4) /i.+ffn(ildv *e, 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 time

  Resonance in a system, such as a string fixedt0:agio 5w oo4 at both ends, occurs when

  If one doubles the tension in a violin string, t+4*+gtpfp cnrgzp;; y he fundamental frequency of that stg 4ppz+;;yrc+pngft * ring will increase by a factor of

  What is the spring constantmmw4sis z-7 :hzf f,6a of a spring that stretches 2.00 cm when a mass of 0.600 kg is s , azsw :mf7hfs64z-miuspended from it?

  A mass is attached to a spring of spring constant 60 N/m along a horizontal, friahbg yxg97/b ,ctionless surface7bghbx ga 9y,/. 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 amplitude?

  A mass is attached to a springf8vcb,cp ;rq 2 of spring constant 60 N/m along a horizontal, frictionless surface. The spring is initially stretched by a force of 5.0 Nq;fpc 82r ,cvb 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 oscillation?

  A mass is attached to a spring of spring constant 60 N/m along a horiz)0n mp- h vs:/1ouhnpnontal, 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 h/upn:0-v) sm 1hpnno frequency of oscillation?

  A mass on a spring undergoes SHM. It/o/qgucs*cw*: bmspc,h: 0h:x l j-lo goes through 10 complete oscillations in 5.0 s. Whaxc c*cj-*/0 omqw, g/hpbushlo ::l:st is the period?

  A mass vibrates back and forth from the free end of an ideal spring of spring8 r/(de/s3 ytahyowp4 constant 20 N/m with an amplitude of 0.30 m. What (8 pyr43w/yd/ost ha eis 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 constant 20 Ntk.6 jw(z h9;tij(+1-jzo6ewc hb jbc/m along a horizontal, frictionless surface. The object oscillates in siwi( e+ (bwz9h-b6 kc1c.ttj z6jjojh ;mple 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 5;yz1c0h sku-ik jqo:px+n(4mx sk9s at this time. The mass is cut in half, and the system is again set in moticzx4kjp5xhm0si( oy9; s-k1:nk q us +on with amplitude 4.0 cm. What is the energy of the system now?

  A 0.50-kg mass is attached tom3a)ir)jltwltku - ,* 8ycg*se.5 dcc a spring of spring constant 20 N/m along a horizontal, frictionless3kej,rc 8tluimad)-c.5 tg*y)wcls * surface. 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 constant 20 N/m along a h i 8kd:i9bmhk3orizontal, 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 potenti :ikb9 8idkh3mal energy the same?

  A 2.0-kg mass is attached to the end of a horizo3o+zw7pw (sxp/pak0 e ntal spring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m(3k w7/zps wo0xpa +pe. What is the total mechanical energy of this system?

  A 2.0-kg mass is attached tocyb+ jjh h4 2yt-+,qsz 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+jj,2h4t cybqzh-y s + the total mechanical energy of this system?

  A mass vibrates back and forth from the free end of an ideal si*jt0 )dqxwq,uog3(n pring of spring constant 20.0 N/m with an amplitude of 0.250 m. What is the maximum qd) 3,qx*ing (wu0tjokinetic energy of this vibrating mass?

  The mass of a mass-and-spring sygevg8 p.3c* ;qr9 kibljesou z.bv/:2 stem is displaced 10 cm from its equilibrium position and released. A frequency of 4.0 Hz is observed. zqpsv ev. buj3: lio9.krc*e2 ;bg/g8 What frequency would be observed if the mass had been displaced only 5.0 cm and then released?

  A 4.0-kg object is attaci/-(h g l/ 4 dw:dwoo.bi0nfzahed to a spring of spring constant 10 N/m. The object is displace/b wgnz/4(wd- oli i0f:doh.ad 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 g yvhztd laxd u* e127q/ *v816cnq,dda spring of spring constant 10 N/m. The object is displaced d yxvqc,*q1 2e7*dzvdtu1hd86/ag ln 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 spriny*:c (;w1j w+fpo qkllg of spring constant 18 N/m, displaced slightly from its equilibrium position, and released. What is the frequency of its vcy l+w1(f ;k p:olwqj*ibration?

  A mass is attached to a spring. It oscillates at a frequency oft,z(2okpy +b o 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What is the maximum o,t2(o+zy pbkvelocity attained by the mass?

  Two masses, A and B, are attached to different springs. Mass A vibratdit gd( y072wzes 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. Hoz2i y0(dtw dg7w does the maximum speed of A compare to the maximum speed of B?

  A 0.30-kg mass is suspended on a sprintwkt2b59 , jfwg. In equilibrium the mass stretches the spring 2.0 cm w,btk9 tfjw25downward. The mass is then pulled 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.v4o5mab,wb g- kv s4 lwnl+l,) 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 releaklvlwblm)v wasn ,o,b-g5 +44sed from rest. Calculate the total energy of the system.

  A 0.30-kg mass is suspended on a spring. In equilibrium thvfoc)o 7m8 jiy.1dt6ve mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and releas do.6 mifo8jvctv7y1)ed from rest. Write down its equation of motion.

  An object in simple harmonic motion obeys the following positidao/fh:,dj*j.2v n 4c;cns x von versus time equation:c.ds: xjnd;4v on *vhfc/,a2j
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion ojb /zt n:qtluhj9a6(vo c 1e83beys the following position versus time equation6qu8bj: o3 9ten1 zcv/lajt(h :
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion3,;dykc8 t cjpnu :qa07ek7ed obeys the following position versus time equation:8 ;enyc,ud0 3 jq7dpaet:c7k k
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple harmonic motion 0vs 5+.hh7x:ng:ebg :k0b gcbyuwt,w according to syvg7+::xew0,5 bhwu g0bh.b c k:ngtthe 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 constfamhtd -m.8a3 q+wn k 24v0dnkant 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. (That is, 0k h-dnvm4d3w a m82+tq.kanfthe 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 swi)8gkq5lfxv k.ngs in 8.0 s. (a) What are its frequency and perio5vq f.xl8 )kkgd on Earth?

  A 3.00-kg pendulum is 28.84 m longnke9) +k+ 7llkunr i.l. What is its period on Earth?

  A pendulum has a period of 2.0 s on Earth. What is0,p+klh ky,toy;ql5c its length?

  The pendulum of a grandfather clock is 1.0 m long. g db:r -lm //n1ae 1c93sq)3ikcecgwn What is its period on the Earthn cm3cgsec a:d-/lw) 9 ni31k/bgq1 er?

  The pendulum of a grandfather clocn i05q fvlx.n6k is 1.0 m long. What is its period on the Moon where the5q. if0l xnn6v acceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass a qwjgrmp0+q oz7 v+)h7ttached to a massless string. When the mass is displaced sq7qwv0gh )+j7ro+mp zlightly 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 instead?

A simple pendulum consistic, 2 bo;6vpphi62zoitng of a 20-g mass has initial angular displacement of 8.0e. It oscillates wt o2hc6i2opp, v6 z;ibith 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 -p0 .lgz2 vitgd1/wqk of the wave is 120 Hz g/1dzgti0.pw2 lk-qv . What is the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given timeu) ktcjxa3 j:-. The frequency of the wave is 120 Hz. What is the a3:kj t)-xcj uwavelength?

  Figure 11-2 is a "snapshot" of a wave at a giv7 4n03)h- jxwmuqirjeq,j7 ajen time. The frequency of the wave is 120 Hz. What is the wav xja4)qq07rij-3j7 meu njwh,e speed?

  What is the frequency k r7lp l; /*:0c i4xkfig5 s5hr9qiowjof a wave which has a period of 6.00 ms?

  What is the period of a wave with a freq.e0 /k vvwycn:uency of 1500 Hz?

  What is the wave speed if a wav w 46euwq7yqml k/;8fqc /ub9q fq6y4ke has a frequency of 12 Hz and a wavelength of 3.0 m?ufq4yqq / w6bcf/8uw9y4kqe67qk ;ml

  What is the velocity of a wave that swq e3blb n-e s89qs*:has a wavelength of 3.0 m and a frequency of 1:e8 nb9sb-wsq ls*e3q2 Hz?

  What is the frequency of axe ;3,v)ku rl;: aud(xh)5a8oh z wyjn 2.5 m wave traveling at 1400 m/s?

  A piano string of linear mass density 0.0050 aelqfaa- , np.bm12/h kg/m is under a tension of 1350 N. What isn/ -ah.q2l,pa eab fm1 the wave speed?

  A string of linear density 6.0 g/m iv7 lp:x wp*k*lygn+f0 s under a tension of 180 N. What is the velocity of propagation of transverse waves along the strfglw:7xkn*p*l+yp 0 ving?

A wave whose wavelength is 0.500 m is traveling dsyu*0t/ltm),;cnxvo6q (gh t5r cx x9 own a 500 m long wire whose total magry09nstcu)txvm6*c; x,( q x5h /lot ss 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 fixe,unyw -wy f3n6piy6n/h,s2 nvd at both ends is 200 m/s. Which one of the following is nn ,,6-vnwpy3/n2iw yu6ysf hn ot a resonant frequency of this string?

  If a guitar string has a fmqd 0nq55juk7undamental frequency of 500 Hz, which one of the following frequencies can set the string into resonant vibr05mdqj7 nq5ku ation?

  A stretched string is observed to have fo1zk tlq2je2 + oz)lt-rur equal segments in a standing wave drivet2)e 1qzjl2l zk-+o rtn at 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-bba2 -n5ksc3qzj g f1 frequency of 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency is needed if the standing wave pattern is to containkgn1a bc2-35f-zbjs q 4 loops?

  A string of linear density 1.5 g/m is undd -)w g np.e-jv6qxt0her a tension of 20 N. What should its length be if its fundamental resonance freqd0h -vqxne twj. 6-g)puency is 220 Hz?

  Find the first three harmonics g8cq ivx772ty85u5igtxm y (nof a string of linear mass density 2.00 g/m and length 0.600 m when it i t8 i7g5qmcg2xy7t8v(5un ixy s subjected to tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. When the string vibrate9r:u um .)rtyxi,9 6t tv*dvhzs at a frequency of 85 Hz, a standing wavezmt:rvt)u,ry*9d u9i 6h.xvt 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.