The time for one cycle of wqh xcrqly e*95*;q e6a periodic process is called the

  For a periodic process, the number of cycles per unit ti.,,wcg (c/rb hkxtfa+me is called the

  For vibrational motion, the maximum displacement from the equilibrium pod8cv:u th*jlts:q /h/m7 ou5y int is called thuc ht*y7vl:m o:tsuq 8h/ j/5de

  A mass on a spring undergoes SHM. When the mass is at its maximuofto84lx ,v:p4 h5*jxxn f :zkm displacement from equilibrium, its instantaneous veh85v 4xoxnj, :l*zfotp:xk4 flocity

  A mass on a spring undergoes SHM. When the mass passes through the equilikfe mip ,4-o/*jp3swd brium pi-d 3*p,jm s/eowp 4kfosition, its instantaneous velocity

  A mass on a spring underg(6ce4q(y: pgr2ozrh v4te ii6oes SHM. When the mass is at maximum displacement from equilibrium, itsotr4yih 6 (qr6c2peg4i vez:( instantaneous acceleration

  A mass is attached to a vertical spring and bou7*+i ewo ozf4bs up and down between points A and B. Where is the mass located whenefo*iu 7z4ow + its kinetic energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down betweenx.ytc)yol8/ 0kga-c;+ xtih g points A and B. Where is the mass located when its kinetic energ -c;lgk. a80oycgitxh/)x+yt y is a maximum?

  A mass is attached to a vertical spring and bobs up and down between poinyvbs *oozkh2ux0v yurf7 +1 +9ts A and B. Where is the mass located when its potential energbk vouzxyvr2 0u+ho7sf1y+9*y is a minimum?

  A mass is attached to a vertical spring and bobs up and down betww gm 9ddhmk )25c.h3dyeen points A and B. ddg5w2 my3.kcdm h9h)Where is the mass located when its potential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-spring sy 3sw s(f7jed3dstem produces what effect on the system's mechws3djdf s3(e7anical energy?

  Doubling only the mass of a vd;ebe x0)o:fto8yku7pflm+) ibrating mass-and-spring system produces what effect on the system's mechanicalbp mtuo+l87) ykefd;f)0:oxe energy?

  Doubling only the spring constant of a vibrating mass-and-spring system produc cfty/wob65zvebh;z s 9f/, -jes what effect on the system's mechanicavh /6 ztcb-;bf/,e9fso wzj5yl energy?

  A mass oscillates on the ensm04os:s7 hkhu 5hmg3:ete 5p d of a spring, both on Earth and on the Moon. Where is g0tke5u3o hsm:h7:hs4e s m 5pthe period the greatest?

  Increasing the spring constant k of a mass-and-spri. /i2h8o m4aliuv r3mbdlgu)5wc 5 ko9ng system causes what kind of c vib3iogmr2du c.k/5 4l8umw9l)oa5hhange in the resonant frequency of the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass- u ejch8m2ceykq1m*hb19 ,d 4staq**cand-spring system causes what kind of change in the resonant fehu k2jh,cqa4* *qmt1*8cdye1mbs9 crequency of the system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system causes what kh-63:t w4ipihg p j5lia vp-f7s/wa *sind of change in the resonant frequency of the system? (Assume no otherasplptvi-*jipa/wfh5 s 3wh 7 4-6i:g 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 ateyt .do 48t kk3.j*itvtached to a weightless string of length L. For this system, when undervtotj. 8kt*4 ed3k yi.going small oscillations

  When the mass of a simple pendulum isg - / esx;6iew,yxr7mz tripled, the time required for one complete vibratiowxzs ;r gi/76-y,exme n

  Both pendulum A and B are 3.0 m long. The period of A is T. Pendulum A is twicew2nsvcd/ k9g2jk g 7 hwfs)r;2 wi(h-h as heavy as pendulumwsg (c; kk92rhf / 7swvh-nwgjdi22h) B. What is the period of B?

  When the length of a simple pendulum is tripled, the time for one pgbxp2lf01z.x)9bgkj serh v zy1t26:1 n1bzcomplete vibration inc h jtvzk0nb6bl gpx:2bfg2.xye11pz1 s1) rz9 reases by a factor of

  What happens to a simple pendulum's frequency ij2 d: o5apyx)*gwhmzl)6b- vuf both its length and mass are increasl5uya-g o)x)*mdphv: zjb2 6 wed?

  Simple pendulum A swings back and forth at twice the frs( t;d7w8e anrequency of simple pendulum B. (;te87awnrdsWhich statement is correct?

  If you take a given pendulum to the Moon, where the accelera9f qd-erq0w3ition of gravity is less than on Earth, the res3rfd-i qw0q 9eonant frequency of the pendulum will

  Curve A in Fig. 11-1 represent.hbxsj1v7j6 oxg ot9+f4rcmeyto66qq90 li/s

  Curve B in Fig. 11-1 represem+hc66d2en,/r hjutb nts

  Curve C in Fig. 11-1 repb,+hnc4cd0u n resents

  For a forced vibration, the amplitude of vibration is found to depend on the9) ppe dff)( tzzj7xki0msi.1

  In a wave, the maximum displacement of points of the wave from equilibrxp*c07ebtz xo(z1 7qzium is called the wavp1z x7*7 zxb0to(e zcqe's

  The distance between successive crests 8xw;omlvtbmss/ beqc pdnq4/904/7 d on a wave is called the wave's

  The number of crests of a wave passing a polnwj1 o t/b.ru-wy12nint per unit time is called the wave'sro2w /l1byun-n.j1tw

  For a wave, the frequency times the wavelength is the wst4dloi;sxzorzs- nx*2 . :p5+sh0zbvw6p, uave's

  The frequency of a wave)k)2s: c(8tndbwuud - g em6 zea8n2fd increases. What happens to the distance between successive crests if the speed reudg2 eb:uzt fne2 -))cn6 (dma8w8 kdsmains constant?

  A wave moves on a string wicb8hsg+gdn)vwz01k, 7 un 4eath wavelength l and frequency f. A second wave on the samdaz+gh4k cs17)8g0envbn, w ue string has wavelength 2l and travels with the same velocity. What is the frequency of the second wave?

  Consider a traveling wave on a string of length L,:g0qwi.8ux xj mass M, and tension T. A standing wave is set up. Which ofx gxquwi .08j: the following is true?

  A string of mass m and length L is under tension T. The speed of a wave cd t:qi.2wuvfo(lg2, in the string is v. What will be the speed of a wave in the string if the mass of thi:2uwfg,l(vtq c . od2e string is increased to 2m, with no change in length?

  A string of mass m and length L is under tension T. The speed of ap9b 7obb z j1.t(:ar/t)cn mxw wave in the string is v. What will be the speed of a wave in the string if /t7 p.btb1b(m9ar :jx zw)nocthe length is increased to 2L, with no change in mass?

  A string of mass m and length L is under tension T. bqnl ;ujgo3hu 5,j:k2 The speed of a wave in the strinqju5k;l :2u3 bh,gojn g 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 nlh+qgd06 t2*9 hj umua transverse wave. As an S wave travels through the Earth,2t69+ ug0*nhdlu mjqh the relative motion between the S wave and the particles is

  In seismology, the P wave is a longitudinal wave. v wx:0/*:2 uufxbizak b1e1hc As a P wave travels through the Earth, the relative motion between the P wave and the particles iuua/ e0vibk12:1xxczf : b*hws

  The intensity of a waveowmi,42q1w3h6qh z itrvp pzkwk :2(t,c4 7we is

  A wave pulse traveling to the right along a thin)a+.1q8wly, gpoiowiq vzx 8 0 cord reaches a discontinuity where the rope becomes thicker and heavier. What is the orientation .iq0a qwl v+1xyw g8,o)i oz8pof the reflected and transmitted pulses?

  Two wave pulses with equal positive ampli w+5 o + 39g x5bjh9)u8bipa*qtjgwzkytudes pass each other on a string, one is traveling toward the right and the other to o)z9 9u+wwgx8 i+bya pt*g5 q5jjhbk3ward 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 one traveling toward the rs/j3j4if gsgg10;l isight has a positive amplitude, while the one traveling toward the left has an equal amplitu j0fj1i sgi;/sl4g3gsde 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 fixed at both; or n-bwy cp1srv 5vfq/40le6 ends, occurs when

  If one doubles the tension in a violin stri /alv0l karn*(7gs*dn ng, the fundamental frequency of that string will increase by a factor o/kl van*a*s 7rgl(0dnf

  What is the spring constant of a spring that stretches 2.00 chbe8ar(k ;d;dm when a mass of 0.600 kg is suspehrad8k ;eb( ;dnded from it?

  A mass is attached to a spring of spring constant 60 N/m along a horizontal * s7*3bc.x*v8x axvqxol sgm+, frictionless7.bxx3ss mq*gx 8v xvc*a* o+l 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 amplitude?

  A mass is attached to a spring of spring consta ojpa9b+ig*fqwco4 hxj:,5 l0nt 60 N/m along a horizontal, frictionless surfp9 i *lfqbwghjx,o4c+ 0:5ajoace. 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 oscillation?

  A mass is attached to a spring of spring constant 60 N/m along a horizontal, 6i*n 39jblvnofrictionless surface. The spring is initially stretched by a force of 5.0 N on the mass and let go. It takes t j*bin6vln 93ohe 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 u5m n)nm6tvr52j w(ui endergoes SHM. It goes through 10 complete oscillations in 5.0 s.ji2ne 5u65mrw nv)t (m What is the period?

  A mass vibrates back and forth from the freeh1+c*pbjn.zbj0 t4h a 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 maszt1pa4bj*hj .n+hb 0cs when it is 0.30 m from its equilibrium position?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m alongnxv6zy m 839ft4jjky2fxc:vh; 8 c b7n a horizontal, frict txfz8k2hmf3n v:;6 y8njj cvx 9b4cy7ionless 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 system?

  A mass undergoes SHM with amplitude of 4 cm. The energy 8( 0f-,1b u/4vm,ptnjck(cygc x 6diu) qchfyis 8.0 J at this time. The mass is cut in half, and the system is again set in motion with amplitude 4.0 cmf -4d ty,xu(6if0ucmv(kjy,/c1 c qcgbn8h)p. What is the energy of the system now?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m along ar:vv u.hhsvly/2u5 7t horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s a hvlst7 yu5:hv/ 2.vurt 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 albfwcd4bx*g 0)ong a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s at the equilibrium position. At 0xb )b wdg*fc4what 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 spgzic0sr :a.; qring constant 50 N/m and set into simp:gi.azcrqs0 ;le harmonic motion with an amplitude of 0.10 m. What is the total mechanical energy of this system?

  A 2.0-kg mass is attache;itb9iyq.o;h 6fr 5f7 viw,fkd to the end of a horizontal spring of spring constant 50 N/m and set into simple harmonic moti5vftf.i h k;9qf ii;bwo y6r,7on 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 e.jl6mj* 5n:ywrzk-t jnd of an ideal spring of spring constant 20.0 N/m with an amplitude of 0.250 m. What is t.y jwz6t5-:mjnl* kr jhe maximum kinetic energy of this vibrating mass?

  The mass of a mass-aclq:nx0l0sr5-y3g m.qitf9i 0eyu et8 7vt p2 nd-spring system is displaced 10 cm from its equilibrium position and released. A frequency of 4.0 Hz is observed. What frequency would be observed if the mass-vxci5u7llt3g y8 9q 20 tqfey e.sit0p0mr:n had been displaced only 5.0 cm and then released?

  A 4.0-kg object is attached to i9dl*2hgne/ ujxoz8: a spring of spring constant 10 N/m. The object is displaced 89ielnzdujo: g/ 2hx*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 springprj46 nx*u1 hrk52jsxau6 xu 7 of spring constant 10 N/m. The object is disp 7upuhx ju 5*6an6sx4rk2r1jxlaced 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 sprihf/il-y)8.xyyo3 oe n ng of spring constant 18 N/m, displaced slightly from its equilibrium position, and released. What is the frequency of its vibratio/iyl8 n yh )efy3o.o-xn?

  A mass is attached to a spring. It oscillates at a fre1otginx3f, l3 quency of 1.27 Hz when displaced a distance of 2.0 cm from eq 31,3 ixgtfonluilibrium and released. What is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to diffebd3; (q.k 5:roy9gago mcfho3 rent 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 frequency of 16 Hz. How does the maximum speed of A compare tobd3foa.rk3 (y9g cqo g o:m5;h the maximum speed of B?

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass strqef( wh,1(b1* yqzt jiz.ihz 7etches the spring 2.0 cm h( .qitzzifzwbq h1y(e17 ,*jdownward. 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. In equilibrium the mass stretb*g a5jf)s.+ 4xh (e5g wvawfhches the spring 2.0 cm downward. The mass is then pulled an vsgfwx5 4)hw +5ahb.ae (j*gf additional distance of 1.0 cm down and released from rest. Calculate the total energy of the system.

  A 0.30-kg mass is suspende c l0si8(ayb(td 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 do(0cb(aity l8s wn and released from rest. Write down its equation of motion.

  An object in simple harmonic motion obeys the following posichq5oa. v9g b3tion versus time equat ha. gv39boq5cion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following posit w2s7as r s4 p1kmmep-uz*6q ,02wfoetion versus time equation:42zqw-p2eo eafu 1mstr*s7k06 p, w ms
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys thej4 xgzu35ko(6bv w/ro following position versus time equa ogkzo6r(4ubx5j vw/ 3tion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a s lhtq at5f,+z7pring executes simple harmonic motion according+zl q5,7tfh ta 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 bq23rm )z0 jutig: ud3a force constant of 20.0 N/m oscillates on a horizontal, frictionless track. At t= 0, the mrgbj23tm:u)3zdiq u0 ass 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 freque+ bma2qb9c ymlda;m76 ncy and period on Earth+ ;blay 2cmm697ab dmq?

  A 3.00-kg pendulum is 28.84 m long. 4s iq7l*z 6om j+)dtn)e.eh (zvipsm5What is its period on Earth?

  A pendulum has a period of 2.0 s on E;;o (*dih-r4 b4oudld *g ygazarth. What is its length?

  The pendulum of a grandfather clock is 1.0 m long. What is its perio:ivfd:g v*dk6pm42de d on the Eartpd e6*:d2vg:ikmdvf 4h?

  The pendulum of a grandfather clock rjqkb8*nf55cz 1 jh5w is 1.0 m long. What is its period on the Moon where 5wb *kqr15h fj85znjcthe acceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attached to a masslesbe:qe14(: p fpx6 2pltq ofur7s string. When:q 7tlp:f4 6rbpu2xof1q (eep 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 to the string instead?

A simple pendulum consisting of a 20-g mass has initial angular displacement of lm- xns81k// 5uqdywz 8.0e. It oscillates with a pernu5ly -/1kzds mw x8q/iod 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" om:sj; u hv 3ncaw0m:y( nv8 /kh:hb;isf a wave at a given time. The frequency of the wave is 1b cvha; hs3 u;hs:wi /nn0(8mj:v:kmy20 Hz. What is the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency of the wa+f67zoo; ar.* fq iolmve is 120 Hz.o*ia7o ff o.l;r +6mqz What is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequen a2mi.ckm d3v4 fynp.)cy of the wave is 120 Hz. What is t cyfd)i..n2v m43kapmhe wave speed?

  What is the frequency of a wav l kdzusewl :/.4-nv3cycv4 l4wca: /le which has a period of 6.00 ms?

  What is the period of a wavemz* d0 cw5h,w m(hach- with a frequency of 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz m h; z ;*jus; gk42vnp45rzfdkand a wavelength of 3.0 m? gmz*kh42d rsj4 fn;pu;v kz5;

  What is the velocity of a wave that e4i: r c xf+effg/0bey,; y9d8oqvy7 +)uannqhas a wavelength of 3.0 m and a frequency of 12 Hz?+ey49f7a rfeycin:/noyuxd ,;fq ) b 0qg 8ev+

  What is the frequency of a 2.5 m wave traveling at 1400 y 3or ;ly qs51l5*cxrfm/s?

  A piano string of linear mass density 0.005 sfb52x;2uqmrdvt l -,; ncurpq6/0br0 kg/m is under a tension of 1350 N. What is the wave speed? rq2mbtc6,bsvp; -d;5r 2x0lunfrqu /

  A string of linear density 6.0 g/m is ucf +fk)p knfx0a/ 8yc:nder a tension of 180 N. What is the velocity of propagation of transverse wa):cp/8ak+fckx n0f fy ves along the string?

A wave whose wavelength is 0.500 m is travqugxz+)4,,v4e m c ttkca* 3gieling down a 500 m long wire whose tota 4c,tux,3 qtm z)a4icekg* gv+l 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 trani7;4 q8 u. p6x cz,ia d+dw*f3b: yxtackfplk9sverse wave on a 2.0-m long string fixed at both ends is 200 m/s. Which one of the following is not auiz9p:t ckwlxypx4 a8c;*3k+q,.f 6 daibdf7 resonant frequency of this string?

  If a guitar string has a fun*m udg/uj twg e1b636zdamental frequency of 500 Hz, which one of the following frequencies can set the string into resonant vibraw edgt1j36bu */mgzu6tion?

  A stretched string is observed to have four equal segment3)zixkqilw6d* n4wy 7 s in a standing wave driven at a frequency of 480 Hz. What driving frequency will sw3y*i6xnkwl q7id z) 4et up a standing wave with five equal segments?

  A string, fixed at both ends, vibrates at a frequency of 12 lr ;d3 e2swdfdfp g*79Hz with a standing transverse wave pattern containing 3 loops. What frequency is needed if the standing wave pattern is to contain 4 loo2ffr* gd3spd7 9wl e;dps?

  A string of linear density 1.5 g/m is under a tension of 20 N. What should i5:aecd2yz5ddy m*6ubvhb9: rts length be if its fundamental resonance fr96 dyadhymb2ed z rc5 *::b5vuequency is 220 Hz?

  Find the first three harmonics sj5 t-m .pez6v;rpnf/of a string of linear mass density 2.00 g/m and length 0.600 m when it is f.e s;mzppr 5t/- 6vjnsubjected to tension of 50.0 N.

A string of length 2.5 m is fixed at both ends/f.p oqff 1w 07qt :2rgyvci9b. When the string vibrates at a frequy2 q/ffcr:.9w tgob q7 0pfvi1ency 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.