The time for one cycle of a perioz w 5e2p.sqn+xqiot24dic process is called the

  For a periodic process, the number of cycles per unit tim-8z vp; :l zpzu2hydv*e is called the

  For vibrational motion, the maxi c)+rwkb)h* pma(a py6e,r3tzmum displacement from the equilibrium point is called tr (at)*re+mzyc hp akp36,wb) he

  A mass on a spring undergoes SH ;: luuke4.sxpM. When the mass is at its maximum displacement from equilibrium, its instant.xu ;sk:pe4 luaneous velocity

  A mass on a spring undergoes SHM. When the mass passes through the evj-*h, -ra(kfbik; dy quilibrium position, its instaj;b d(-iyak hfk,rv -*ntaneous velocity

  A mass on a spring undergoes SHM. When the mass is at e q a .vz2:ih/ut o6wb2uy/4so ydy3:qmaximum displacement from equilibrium, its instantaneous accele z sa ovhy/y.32o4:quyi/2t6eu b: qwdration

  A mass is attached to a vertical spring and bobs up and down between points A a-kv/hw fhc+ yxaqwq1 pflm 4cvjoiob1 6.*55* nd B. Where is the mapk ajm hx*ovyw-bo1 q5.1+lw i65fcv/q c 4*hfss located when its kinetic energy is a minimum?

  A mass is attached to a vertical spring and bobz pl*:me 2)7sqr5 hurrs up and down between points A and B. Where is the mass located when its ki:)puhr7r*lszmr qe25netic energy is a maximum?

  A mass is attached to a verticvaiis((/q0 t aal spring and bobs up and down between points A and B. Where is the a/(si(vaitq0mass located when its potential energy is a minimum?

  A mass is attached to a vertical spring and bobs up and do u*9ox: 2xx)rtghqm e+w-+wr fha2+nm /p9pejwn between points A and B. Where is the mass located when jxp* owx:+wrep -u2)qx 9tm/e mh+fn ra2gh9+ its potential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-sprl- q c0 j8ci.+hehsg04ua9qgcing system produces what effect on the system's mechanical enqe+hq80ahcj 4 ic-.lggs cu0 9ergy?

  Doubling only the mass of a vibrating mass-and-sprin-ty11iaz o h.laez m)7g system produces what effect on the system's mechanical e1 iz)oa t-ze.yh17m lanergy?

  Doubling only the spring constant of a vibrating masss xwj4u5hrvz (,1 2ijs-and-spring system produces what effec4x 2j,( sirzs5wv 1hjut on the system's mechanical energy?

  A mass oscillates on the end of a spring, both on / -egya:ez4*zw vqm g7q6 e;eaEarth and on the Moon. Where is the per 7e *mq;vyeaz6q-z:wg ege/4aiod the greatest?

  Increasing the spring constant k of a mass-andwmhp klx::q5 0-spring system causes what kind of change kxmhpqwl :0:5 in the resonant frequency of the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system causes what kindok1cr.a 5y kf-(9onrm of change in the resonant frequency of the system? (Assume no changncr m.fo9kyo1 k5(-ar e in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system causes what kit fts6n a.8u1agf1vex4hb; 6qnd of change in the resonant frequency of the system? (Assume no au61 8 .ena6gt1vfs4hftxq ;bother 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 weig*2eg pudgm7+w htless string of length L. For this system, when undergoing small o +mg*du e72pwgscillations

  When the mass of a simple pl ;obim.p5yz 0endulum is tripled, the time required for one complete vibm . 50;piolzybration

  Both pendulum A and B are 3.0 m long. The period of A is T. Pen h-pif.rx+, a(dq,s hrdulum A is twice as heavy as pendulum sr(d i, h.hfapq+,r -xB. What is the period of B?

  When the length of a simple pendulum is tripled, the;jo) -r31 vwiq obvbo8 time for one complete vibration ino oow;v- q bj1b)38vricreases by a factor of

  What happens to a simple pendulum's frequ,zbndi/) )4a n(kyegeency if both its length and mass are incr4nei/y( gen dabkz ),)eased?

  Simple pendulum A swings bi )0djj2 gpo0 np0osl.ack and forth at twice the frequency of simple pendulum B. Which statemenpl0goi)2. j j0pds0not is correct?

  If you take a given pendulum to the Moon, where tx/ q cit 6e,eikg1 .p;:np,wru(5ugjyhe acceleration of gravity is less than on Earth, the resonant frequency of t1w :r n ju,i e6,g.cx/pg( e5i;tqpkuyhe pendulum will

  Curve A in Fig. 11-1 repr kl0kpq9/z5+ vs,fb9u vpyrz8esents

  Curve B in Fig. 11-1 m0 0s/o-vuqimqhw8q110a g1izn o7hcrepresents

  Curve C in Fig. 11-1 re(b*r66v8wq,ygcmj -v4v9evw:kl;n wb1jren presents

  For a forced vibration, the a n+ed zxh8 4uqto0fk26ic 8rr)mplitude of vibration is found to depend on the

  In a wave, the maximum displacement of points of the wave from equilibae-9zq5sjtm (g5lso 0 rium is called the wat s-a9mo gq(s5ze0lj5 ve's

  The distance between successive crests on 35oga4y2xt,g 6brr kn a wave is called the wave's

  The number of crests of zj3v6zy23 uwzp:)pk ,jvj7b qa wave passing a point per unit time is called the wave'sz)pzyjz b3,j2vk pw uv7q3 6:j

  For a wave, the freq4g+,xl9f a( xj( kfaqduency times the wavelength is the wave's

  The frequency of a wave increases. What happens to the distance between s(hk9 wpo6 al8auccessive crests if the spe(owha8 6apl9k ed remains constant?

  A wave moves on a string with wavelength l and frequency f. A second wave on -s8tnrqc,x zynyw/:/the same string has wavelength 2l and travels with the same vec,nnzq rs:/8 t yw/xy-locity. What is the frequency of the second wave?

  Consider a traveling wave on a s0gryux,1s k)8f9gy mgu xw*g+tring of length L, mass M, and tension T. A standi g0 gsyxfmgy 8,+1uwxk9ug*)r ng wave is set up. Which of the following is true?

  A string of mass m and length L is under tension T. The speed of a w;3 (u,n/tl beu *iafnsave in the string is v. What will be the speed of a wave in the string if the mass of the string is increatfnlns3be ;,*uu a(/ised to 2m, with no change in length?

  A string of mass m and length L is under tension T. Theoon1g gj m5k 90nd0u8j speed of a wave in the string is v. What will be the speed oouj no 1 n0mg5dgj0k89f a wave in the string if the length is increased to 2L, with no change in mass?

  A string of mass m and lengtoqi6 jf,wv +8i8i2 jbah L is under tension T. The speed of a wave in the string is v. qjwo6 ij88,if2a iv+bWhat will be the speed of a wave in the string if the tension is increased to 2T?

  In seismology, the S wave is a transveryli. ksl bc:l1z;fw /;se wave. As an S wave travels through the Earth, the relatick1 /lsf;zw;llyb. :ive motion between the S wave and the particles is

  In seismology, the P wave is a longi4k v2 lvm7-1lakut v2qtudinal wave. As a P wave travels through the Earth, the relative motion between the P wave andv7k-v2 aqmku21tvl l4 the particles is

  The intensity of a wave ia8lzk1glmjs wpt67e 9w+ k*e0s

  A wave pulse traveling to the right along a thin cord reacr q.pqkfpi50j ,vh/ o*hes a discontinuity where the rope becomes thicker and heavier. What is the orientation of the ref ,p./5rojf qqk0i* hvplected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each other on a strim)/vr,a9qezqztze -8 g7ss g82g (vfm ng, one is traveling toward tr7)q gs 8z zmav (9e/fzet qs2gg,8vm-he 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 yg 8kpayt2 e4f)8z fr,other on a string. The one traveling toward the right hasfy2efyzgk4)8 8r,a pt 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 time

  Resonance in a system, such as a string fixed at both enk ( ndih+4:dnt5qq3b 30x jfkcds, occurs when

  If one doubles the tension in a violin strikh 66/e)h 7z jcitzv9ing, the fundamental frequency of that string will increase bzjt 6hzhe9 v/)iikc76y a factor of

  What is the spring constant of a spring ssx-*dvur-;u z;6vh.m7le; eop:x k y that stretches 2.00 cm when a mass of 0.600 kg is suspended from i ls:xk p;dxyezm 7;e.s 6vruoh*--;uvt?

  A mass is attached to a spring of spring constant 60 N/m along a 6 bj;ots(zv:0j/kymf t k28a ohorizontal, frictionless surface. Thks k 68 0 oob2/ztjay;:vj(mtfe 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 t(+dof u*c9cs-b;ak d n .xta .+qtf;bvo a spring of spring constant 60 N/m along a horizontal, frictionless surface. The spring is init .c-nxstat* v9ddkqb ; bf( a.uc+o+;fially 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 ihd:au/9jv,3q6n1 1ybpxo t i 60 N/m along a horizontal, frictionless surface. The spring is initially stretched byytj6dvoah/1in9: ib,x1qp u 3 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 10 complete osciux0rm0)b 2x0h wusv0 jokk/.wllations in 5.0 s. What is kw/ )0.orx0k2 xb00 svwuuhjmthe period?

  A mass vibrates back and forth from the free en e15xujy54ti-9 lf il2+u;go m8y pttud of an ideal spring of spring constant 20 N/m with an amplitude p+ut9j82lfig5m5iulyu-; 14exto yt of 0.30 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 constant 20 N/m along ak o/zq,jef i :7i-r)2 aludv,x horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s at the equil/,f 7led,iuv jxiz: 2a o-k)rqibrium position. What is the total energy of the system?

  A mass undergoes SHM with amplitude of 4 9+mf4dwmea, t 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. W,+tme9 fam4dwhat is the energy of the system now?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m alo bhn v8 on 95h2o1*0d.9eteovvg ,w:tzh4rzdong a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.tenhvhh190v.8w vb z9 ,otzondr:eogd 54*o 25 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 azl zvsz -rgl5+mu6gn e9l+ ;,klong a horizontal, frictionless surface. The object oscillates in s++l vgz nz9u65gm;l-s kzr el,imple harmonic 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 to the end of a horizontal spring of spring cvrfs kai1 .1k3vvcbl/ s4)qm9onstant 50 N/m and set into simple harmonic motion wi /vv)b9 lskfkcrv. qam1s413ith 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 springoc (xi fjm11 4v(nfre0 constant 50 N/m and set into simple harvci1f4x rnj01 o((fmemonic 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 ofp89c /1mebe.f8swft m spring constant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kinetic eneme8ct9/ .wpbf1emf 8srgy of this vibrating mass?

  The mass of a mass-and-spring system is displaced 10 cm from its equilibrium po7l(tq65e( w7q l mbehhsition and released. A frequency of 4.0 Hz is observed. What frequency would be observed if the mass had been displaced only 5 (h eh7q7b5lq(wml6te.0 cm and then released?

  A 4.0-kg object is attached to a spring of spring constant 10 N/m. The object im d5-onr-z zs3s displaced bzon 5zrm- -ds3y
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 rd+; qes7o: ynof spring constant 10 N/m. The object is do q+ey :dnr;7sisplaced 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* uslciej5715 dht4 rsm::h9bc, sl sm, displaced slightly from its equilibrium position, and released. ,ri* dh54 7sjml1es 9:bumtlshc s5:c What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequency of 1.27 Hz when lrr;js4xu f +6fkr9*edisplaced a distance of 2.0 cm from equilibrium and rele +*ff rru9skex r;64jlased. What is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to different springs. Mass A vin(,q2kii6 swu bd 9 3h,5sqablbrates with amplitude of 8.0 cm at a frequency of 10 Hz and mass B vibrates with amplitude of 5.0 cm at aw ,l23q 56( isusbniqba9kh,d 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 spr (,oc-r,o g nmxqxd(f+ing. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distancex,n,o -(mx+ fcg roq(d of 1.0 cm down and released from rest. Calculate the period of oscillation.

  A 0.30-kg mass is suspended on q)l8kadtu31m(8 owiaa spring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled a13ad il)t w8(mqk8uoan additional 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 equilibribsj s*8n6r( -kxg s2moum 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. Write down its equation(mkjg2s n b6o8s s-*xr of motion.

  An object in simple harmonic motion obeys the following position versus time .sk0l-tk* vvs equs.0l *sk-kvtv ation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following position ve)+13 xjhqfjda uizpxc2- 30odrsus time equ0 d1c q)h2x 3+uxioj-zpj3dafation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmohb83aiu l;z7.qrm5t mp xyl6)nic motion obeys the following position versus time equation:6y 35)mzmh.7i ballt8uqrpx ;
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple harmonic moti1;:ysiz/vk+w piby8i k *ix-zon according to the1byk;-k*is i8:wzp zi v+yix/ 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 withd97n cssgbh7( a force constant of 20.0 N/m oscillates on a horizontal, frictionless track. At t= 0, s79s(7ghnb dcthe 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 s3,s ft/l9/cg dq dt+mawings in 8.0 s. (a) What are its frequency and periodq/tsm df+c ad,3g t9l/ on Earth?

  A 3.00-kg pendulum is 28.84 mn2pko ku8hya-ocyn x.5 r90d 3 long. What is its period on Earth?

  A pendulum has a period of 2.0 s on Earth. e2-px:1cke9o mxw3 mq What is its length?

  The pendulum of a grandfather clock is 1.0 m long. What is its period on thezr:hfkr952ci el + 7.lis7bg2f 6j4ip qeu8mm Earmf89+k iel25rl b7i:6j hrs ipg4m 2c7fzqe .uth?

  The pendulum of a grandfather clock is 1.0 m long.(z+)sn wiy ti; What is its period on the Moon where the acceleration due to grav+ni( );zisw tyity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attached to a mass6vv0*z 0mhd fsless 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 frequency would have resulted if a 0.50-kg mass (same diameter sphere) had been*vh d06zmf0 sv attached to the string instead?

A simple pendulum consisting of a 20-g masso/gyzng/ jx /bamk8-+ has initial angular displacement of 8.0e. It oscillates with a pery+o/amx-z /8 g /njbkgiod 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 "snapsh1-v sgr;v;ndw ot" of a wave at a given time. The frequency of the wave is 120 Hz. What is tvrw1d;sgv -;n he amplitude?

  Figure 11-2 is a "snapshotw-1w+jf1h(,p wv zaef 707ovurn1 mbt" of a wave at a given time. The frequency of the wave is 120 Hz. What i rm,w+t-hvfu e717opjw1nfwvb01 z a (s the wavelength?

  Figure 11-2 is a "snapshot" of a a 3/y e20yjy8a7gvhjtwave at a given time. The frequency of the wave is 120 Hz. What is the wa3 y8ta/gayvj0 h 7jye2ve speed?

  What is the frequency of a wave whi gu-yafbocjd +)) dlz0d (8t.uxs6dsc* 2dt)pch has a period of 6.00 ms?

  What is the period of a wave with a frequexq za cm5 5ofel 4*n1:9 s0bpybo5*zkjncy of 1500 Hz?

  What is the wave speed if a wave has a ds/ 6r+mfo)sh- 0kqq ay7bqj+frequency of 12 Hz and a wavelength of 3.0 m?s -drf q )my7jb+/o0qqkh6 s+a

  What is the velocity of a wave that has a wavn( j s-6rntj(m:c -m1l qtgqh6elength of 3.0 m and a frequency of 12 Hz st lgj-c mj(ht(1mn 6q:-qrn6?

  What is the frequency oo 6v::ojxtz ,hv7u/ wrf a 2.5 m wave traveling at 1400 m/s?

  A piano string of li hi5of62o ul/dqiq33 qe m-z7 (xcun(xnear mass density 0.0050 kg/m is under a tension of 1350 N. What is the wan-(eolfu7qdh6ocuiiz5q 3x23xm ( / qve speed?

  A string of linear density 6.0 g/m is under a tension of 180 N. ro+ gv5t4/:yr *x x+wm w1arvg zf/1aiWhat is the vel vr 1+w1 vty/gxra*xaoif /z4w5 r+:gmocity of propagation of transverse waves along the string?

A wave whose wavelength is 0.500 m is traveling down a 500 m long wire wh2bhq;g;*wi c eose total mass i2;hc ;wqi*be gs
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 atlkm) *-5;0*ge kzh+xvhp b sjt1xfs3 transverse wave on a 2.0-m long string fixed at both ends is 2p bf+khv5z * e*mgl s)1 j;ts0hxk3t-x00 m/s. Which one of the following is not a resonant frequency of this string?

  If a guitar string has a fundamental frequency of 500 Hz, 0 aut6t.b0jg pwhich one of the following fr0jagt b6p0u .tequencies can set the string into resonant vibration?

  A stretched string is observed to have four equal segments in a standing wave dw u8-n.a)bj oe 0;epzlriven at a frequency of 480 Hz. What driving frequency will set up a standing wave with five equal segme)-wz8ja pon0 . e;ulbents?

  A string, fixed at both ends, vibrate6 dem kk 07xj-qie si89wvlj2:s at a frequency of 12 Hz with a standing transverse wave pattern containing 3 loops. Wx iw 6ds809ik:l-qe jm2 7jvkehat 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. What sho :/jq eeiiq(*i6niir 1ksu 1s9uld its length be if its fundamensrs: *u(e9n i 1je6q/ii1ikqital resonance frequency is 220 Hz?

  Find the first three harmonics of a string o:so+6gkm elmbfy0( l9 f linear mass density 2.00 g/m and length 0.600 m when it is subjected to tension o l: eg+ysbm09k( 6moflf 50.0 N.

A string of length 2.5 m is fixed at both ends. When tk l;zojaeyn- 3s+ h/n: lro65she string vibrates at a frequenc3 n;-o /y+l:laonk6se5zh rjs y 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.