The time for one cycle of a periodic proc7cxln19;iya,xzwg j 20 jdnt,4d+qc gess is called the

  For a periodic process, the number of cy eze+w zxf9*po8oq(m/7 od8tocles per unit time is called the

  For vibrational motion, the maximum displacement frab dn,e a0sobbik) );d85-dkcom the equilibrium point is c) cb)8k0-oabndi ; ,5sb dkeadalled the

  A mass on a spring undergoes SHM. When the mass e 6c klct,1nj4is at its maximum displacement from equilibrium, its instantaneous velocit4k1cctj enl,6 y

  A mass on a spring undergoes SHM. When the mass)488cn-)wyihk fmdl f passes through the equilibrium position, its instantaneous velo 4ihynwm8)-kl) fc 8fdcity

  A mass on a spring unchv(lp/2 uur4b2hy9 uo5 1 bbimh.5bq dergoes SHM. When the mass is at maximum displacement from equilibrium, it.(yoq9ucv2/ 2b4hhubb5imrlhu 1 b5ps instantaneous acceleration

  A mass is attached to a vertical spring and bobs up and down be/o- -uo:h dkz1dur5xt tween points A and B. Where is the mass located when its kinetic energy is a minimu5ud t dh-x:z/oo1 -rukm?

  A mass is attached to a vertical spring and bl-1v:z,kxoa os s4co*b+ ae d*obs up and down between points A and B. Where is the mass located when its kinetic 1zsab,xled:ov-+ ko c*4a* soenergy is a maximum?

  A mass is attached to a vertical spring and botk6 , el84gswlw9s qq1epl; g/bs up and down between points A and Bl speggwks6wq e8q, 1; 94llt/. Where is the mass located when its potential energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down between pn)po f,u8. g chcp2-pgoints A and B. Where is the mass located when its potentiaupo,fg.cgn-pp c)28 h l energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-spring system pr2q pxs3ghk *4 ov;pt.eoduces what effect onp*v2xh4 ept 3; so.qkg the system's mechanical energy?

  Doubling only the mass of a vibratingq;jz-fj g4z 5e mass-and-spring system produces what effect on the system's j-zgz5 e;jq4f mechanical energy?

  Doubling only the spring constant of a vibrating mass-and-springpx:3ylx5l9 (ac66* hvtx yoa t system produces what effect on the system(pcax 65t 3 :hlay9y6v xxt*lo's mechanical energy?

  A mass oscillates on the end of a spring, both on Earth and zud* tu7w;,iox5;lso on the Moon. Where isow*o uu,z;ixtls d5;7 the period the greatest?

  Increasing the spring consk rlvkz9)8cqt3kake;o9 + : 6-fkhd tttant k of a mass-and-spring system causes what kind of change in the resonant frequen 9r; kfk)3k t8 9ktt-k:a6oz+vecqldhcy of the system? (Assume no change in the system's mass m.)

  Increasing the mass M of igug+* u0pi6( qoeuyu )am89 aa mass-and-spring system causes what kind of change in the resonant frequency of the system? (Assume no change in the )aiaopum6u(ui g+8g9qeu y *0system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system causes what kind of changezkub 8nq: 7+rcntuxn x1ghg7 tc*-9l7 in the resonant frequency of the system? (As*cr lz :n18hnug-7 gutbtxc9+kq7x 7 nsume 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 attache:o9mn 13 (ve,fgiqen rd to a weightless string of length L ne1(qoigv:nm 9e,3rf. For this system, when undergoing small oscillations

  When the mass of a simple pendulum is tripled, thdrq )y x /n7*zmyasdw7-t5xq0e time required for one complete vx m7tqr*)0znws/d5y y-xdaq 7ibration

  Both pendulum A and B are 3.0 m long. The period of A is T. Penoh0smfmt/lpz.81c a .dulum A is twice as heavy as pendulum B. What fpto.1/ 0ch.zms lm a8is the period of B?

  When the length of a simple pend(j5t+s rfizy fy.3 7ftulum is tripled, the time for one complete vibration increases bj3zs7(rt+y ffi 5.tfyy a factor of

  What happens to a simple pendulum's freqnels dpm/r)7.r +c, mquency if both its length and mass are increase. dm s /nmlpr)7eq+,rcd?

  Simple pendulum A swings back and forth at twice the frequency of simple pe0p9uhmny 2-iv(w ko llq5:7qr0 soj +hndulum B.+p2m5nh9l0r7sl:h q voo0qk(yuw- ji Which statement is correct?

  If you take a given pendulum to the Moon, where the 3k 27la mkk6dracceleration of gravity is less than on Earth, the resonant frequency ofa2k6rkm7d 3lk the pendulum will

  Curve A in Fig. 11-1 repvomtbdv sp pt5*3d+0)co93j oresents

  Curve B in Fig. 11-1 redc86 66qnkyza a j-6lspresents

  Curve C in Fig. 11-1 repreu/ +:l3wyyw kfsents

  For a forced vibration, the amplitu.gpzc51qgg :j vn/3 yhde of vibration is found to depend on the

  In a wave, the maximum displacement of points of the wave from equilibrium is c)wv) -4 hvgayrowe/ybt(x6 q6alled the wav64wr)6evtb q)-yy(o v/ agwhxe's

  The distance between successive crests oi56v x jr:5(f,uu(hcwbb bpu5n a wave is called the wave's

  The number of crests n*9 liqny,;jlof a wave passing a point per unit time is called the wave'nly* 9i;lq ,njs

  For a wave, the frequency times the wavelength is thy e4 ddx:.9.ps.mspj me wave's

  The frequency of a wave increases. What happens to the distap 2 f5ch4m ax1qg+a.bence between successi14hbc xg2f mq ea+5.apve crests if the speed remains constant?

  A wave moves on a string with wavelength l and frequency f. A second wave on thl*i(c+ am1xo ze same string has wavelength 2l and traz * m+1axi(clovels 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 tension T. g kb82-zgr93xm 2-lfu1vk ev )kfic( eA standing wave1k k- 3-lzv9(rf 2exmkf gcei8bu2vg) is set up. Which of the following is true?

  A string of mass m and3b66mgw8r hol length 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 string if the 6b orhl368wg mmass of the string is increased to 2m, with no change in length?

  A string of mass m and length : iqhskh.u(v 4x4se1bx ub4s2L is under tension T. The speed of a wave in the string is v. What will be the speed of a wave in the string if the length is increasede(4ux sbiskh42ub. vq1sh4 x: to 2L, with no change in mass?

  A string of mass m and leawkh3, :myox0ngth 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 string if the tensiak , wo3hmy:x0on is increased to 2T?

  In seismology, the S waved, a79xb4zx cu is a transverse wave. As an S wave travels through the Earth, the relxax,z 9 u47cdbative motion between the S wave and the particles is

  In seismology, the P wave is a layg-9 es: a.:tzzskqz k8ly q).vc(e0ongitudinal wave. As a P wave travels through the Earth, the relative motion between the P wave a.ayt98z :.:-aq(q0yz) k gck lezsevsnd the particles is

  The intensity of a wavfjn 46ze-l a)ne is

  A wave pulse traveling to the right along a thin cord reaches a leb *5udc;5(tk)mwp tdiscontinuity where the rope becomes thicker and heavier. What is thwcl5 (tpe)dut*;kb m5e orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each other on a stafhsz5ov )5r(uh49hq grde * 6ring, one is traveling toward the right and the other toward the left. At the point that they occupy th9a uz )5fhdeo6shr*4g(rqvh5e same region of space at the same time

  Two wave pulses pass each other on a string. The one traveling towky wqm i+x1ls- +we9-xard the right has a positive amplitude, while the one traveling toward the left has an equal amplitude in the negative direction. Alysqwk-++x-mwx9 1e i t the point that they occupy the same region of space at the same time

  Resonance in a system, such as a str+of6g9;ms abr;z5 fhring fixed at both ends, occurs when

  If one doubles the tension in a violin string,cx5 0j obn9.cyoo5f(v7f +jrc the fundamental frequency of that string will increase by a ooo0r c7cbf+n 5jc95x v(.jyf factor of

  What is the spring constant of a spring that str ilwfd )mi7;5bvrzo q1su2 x/dl*b5w1etches 2.00 cm when a mass of 0.600 kg is suvx w2db i1l*)7lqsd;o5mi 51bru/ zfwspended from it?

  A mass is attached to a spring of spring u;*n j3;n k7ly8koud uconstant 60 N/m along a horizontal, frictionless surface. The sprinoyn ;* ulk87u;ju3kdng 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 constant y1 p9,o4g/vh.pfxhiga uvd 49 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,v y va4g/d914o9fgxhhpipu. the period of oscillation?

  A mass is attached to a spring om a-u5g*f9pax f 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 equilip9f5ux aag *m-brium position when it is oscillating. What is the frequency of oscillation?

  A mass on a spring undergoes SHM. It goes through 10 complete oscillations *y rg pr1i:jj9+1uu hxg: r:hein 5 j:egpy+ux1h1h *r9r :gr:ui j.0 s. What is the period?

  A mass vibrates back and forth from the free end of an ideal spring s/;x; na9xjtx;akg4yj6bl1ec 85p dn of spring constant 20 N/m with an amplitude of 0.30 m. What is the kinetic energy of this vibrating mass when it is 0.30 m 9k14 ;janyd j;8 /tas;e5bxlxc 6gxnp from its equilibrium position?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m alongd)r jy: (sw-ai8-c ml1upiy1 z 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 1 mpd u)z-swij-:y1y8( cliar the total energy of the system?

  A mass undergoes SHM with aq/ vhjk.umc*zj ,c1nev8;qmnjd65u: gh zu 9)mplitude of 4 cm. The energy is 8.0 J at this time. The mass is cut in half, and the system is again set in motion with amplitude 4.0 cm. What is th; njm9vv h* nczk,gd)/8m jhuz:6 jcqq.u5e1ue energy of the system now?

  A 0.50-kg mass is attached to a spring of spring conpxwg47 o)8oo4aosf7 qstant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harm48gxw oooofa4)s7 7qp onic 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 horizoo kdi*0,yj v clyk,x9/ntal, frictionless surface. The object oscillates in simple harmonik /9i 0lxjdvo,*yc,k yc 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 1 gmhc1 ;yy+nzto the end of a horizontal spring of spring constant 50 N/ynzcy+;h m11g m and set into simple harmonic 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 az.zao8t9vqy4b9:z pw horizontal spring of spring constant 50 N/m zb9zv.za:qwy8 o4 pt9 and set into simple 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 of,hrflvol*2ph) (t*j p spring constant 20.0 N/m with an amplithf,l2*j *pt)rlp voh( ude of 0.250 m. What is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring system is displaced 10 cm frodszo/ i8 5)krom its equilibrium position and released. A frequency of 4.0 Hz is observed. What frequend5 skz/)i oor8cy 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 conspd2b mrisud w )t4547+)p wp gyn.0hcrtant 10 N/m. The object is displr5 4upd)h0 nst b).2wipyc r4pg+wd7m aced 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 sp eqancrs(u+c+(p/-69zuq md.4uyu xp ring of spring constant 10 N/m. The object is displpe+mrdnq+ cs 6u.cauuqx9p-/z(u 4y(aced 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 sa)0yb-pj/+os xwbokx d2l ,3ilightly from its equilibrium position, and released. What is the frequency of its vibratioxop lb/o a-b,w3)djxiy 0k2+sn?

  A mass is attached to a spring. It oscillates)m m13zxerd 4b at a frequency of 1.27 Hz when displaced a distance b1x4mm)edz3r of 2.0 cm from equilibrium and released. What is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to different springs. Mass A vibrn*r+ dyf:ak h6o:p3wcates with amplitude of 8.0 c3p+or* h:6 fw :kncaydm 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.t3 6yyz*kltl/ In equilibrium the mass stretches the s* t3lz/t 6kyylpring 2.0 cm downward. 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 ;fhs40r zosa7spring. 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 the total energy of thero70a 4s fhsz; system.

  A 0.30-kg mass is suspended on a spring. In equilibrium thsr fm+dh q:,9q *bcd.ne f2qu2e mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1hn fd.f+2d mrc, bq 2s9qq*:ue.0 cm down and released from rest. Write down its equation of motion.

  An object in simple harmonic motion obeys the followingmds6-7kl7-* g b x 6jape+geop position versus time equatio6ea7*-ls +g 6-pxo7bkdm e gjpn:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the follo.gwu q ,7edyw0yfkx ek t1+w2+wing position versus time equation:k+ ,gd2kfq1wyuw extywe0+.7
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the followiv5 szv8nak4s)gxv-un+ ,5n emng position versus time equationz, sva5x-n5 )k8m+ gveu n4vns:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple hfxamrx24xlu*/(c0h. i 3t izjarmonic motion according to t 2mxc axij3zx/.hf*il4(tr0 uhe 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 constant of 20.0 N/m oscgfesj2dq0 .l2illates on a horizontal, frictionless track. At t= 0, the mass is released from rest at x= 10.0 cm. (That is, the sprse20. gjlf2dqing 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. (al2kdk* qha 4nvicpo8;+ (8 lug) What are its frequency and period on Ear(88h2q *kdk goc+;nla4pu lvith?

  A 3.00-kg pendulum is 28.84 m long. What is its period on Eaoc t9+mmxym1e* 0opki0 d25 derth?

  A pendulum has a period of 2 *jp su.o9q1 1*rqkggx.0 s on Earth. What is its length?

  The pendulum of a gran3p7d ph e9y(wj 7bo8bbdfather clock is 1.0 m long. What is its period on the Earthp7 hebwj(bp97y3 o8bd?

  The pendulum of a grandfather clock is 1.0 qpb lv osr4r )4p5exqih327b8m long. What is its period on the Moon where the acceleration due to gravityvephl7 b4 p83r2x)boi rsqq 54 is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.f b4dgzu2v-w5 -px mw+)mf5uv25-kg spherical mass attached to a massless string. When the mass is displaced slightly from its equilibrium position and released, the pendulum swings back and forth witwf-m -vduv5)2x zp4 +fw5b gumh 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 displ:4jgk/:r pckxacement of 8.0e. It oscillates with a period of/ : gpcxk:krj4 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 freq c3c:bjy tais+:i)jxrt0( 2ti f*e6z duency of the wave is 120 Hz. What is the amtif e +jx:306bdt2yscrzii :(atjc* )plitude?

  Figure 11-2 is a "snapshot" of a wave at a given time. The f2jsl b-w vytv)bj399p6qe; d9xz jr*i requency of the wave is 1203y wjj; bv-b)d 9jp6el*s 92tqxzv9i r Hz. What is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency of the w0eo 7c0llbj+ mave is cjlbmo+ e0l70120 Hz. What is the wave speed?

  What is the frequency of a wave which has a period of 6.00 m aw3o5s ww(,cdo/pgo2r5y vh-s?

  What is the period of a wave with a frequency of 1500 Hz?*seahv1 f9or9d p9f15 pc0btx

  What is the wave speed if a wave has a frequency of 12 Hz and a wavelength h f(:5 l y2i1:x:w2otsa4mxc0mfol d; c1ulomof 3.0soymw:4flcfm ;l1o2l u 2 toa:d50xxc1mh i( : m?

  What is the velocity of a wave that has a wavelength of 3.0 m and a frequency t b;:l wei48qsophc7/of 12 Hz?7e4c/s8oip;h lq:t bw

  What is the frequency of a 2.5 m wave tray l;zw.hpp/l+u-4 a3y-iqlfiveling at 1400 m/s?

  A piano string of linear mass density* s2o5tdx1tl e 0.0050 kg/m is under a tension of 1350 N. Whatdt2le5xot 1s * is the wave speed?

  A string of linear density 6.0 g/m i mfv,z4aqc0,dc lc )-swp 63pjs under a tension of 180 N. What is the velocity of propagcpc3m-zcl av fsw,4 jq6)p, d0ation of transverse waves along the string?

A wave whose wavelength is 0.500 m is traveling down a 500 m long wire whose ar uigp9t1 ;*9prpln 50mcm6 mtotammr u6l*c p51trmip g;9p0na9l 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 wa0 uvyo/24onzd ve on a 2.0-m long string fixed at both ends is 200 m/s. Which one of the following is not a resyv2o4/uon z0 donant frequency of this string?

  If a guitar string has a: -xdlb lyy .c48-opft fundamental frequency of 500 Hz, which one of the following frequencies c t4opfbl cx8 -yd-:l.yan set the string into resonant vibration?

  A stretched string is observed to have fw)wym(toi: 3hour equal segments in a standing wave driven at a frequency of 480 Hz. What driving frequency will h)3 miwy: (twoset up a standing wave with five equal segments?

  A string, fixed at both bpy 6c*o,-penx6j4 pgends, vibrates at a frequency of 12 Hz with a standing transverse wave pattern containing 3 lo4-c jpypep b6x n,g6o*ops. What frequency is needed if the standing wave pattern is to contain 4 loops?

  A string of linear density 1.5 g/m is under a tension of 20 N. olg3hxa)g-nf4 r e.3sWhat should its length be if its fundamental resonan gesa4rn)lx. 3 f3hg-oce frequency is 220 Hz?

  Find the first three harmonics of ad4u75r6ud /t 1w) otn md2 81jnkqdpjd string of linear mass density 2.00 g/m and length 0up8rdt1 q61kt d75 d/ onjn24djwmud).600 m when it is subjected to tension of 50.0 N.

A string of length 2.5 m is fixed q *nfw1+ kxlasj 85wt(at both ends. When the string vibrates at a frequency of 85 Hz, a standing wave klf5q1sxj+n* 8 wa( wtwith 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.