The time for one cycle of a periozk mw h r -+xz8;a y;kv8pa;v/k,co*ujdic process is called the

  For a periodic process, the number of cycles per unit time is called tht56a sw)-jg mxe

  For vibrational motion, the maximum displacemen*8)u3w+go msshi oi(kt from the equilibrium point is callei+go*i s()hs8 wok u3md the

  A mass on a spring under+0l0e wei7 aqcgoes SHM. When the mass is at its maximum displacement from equilibrium, icqew7+ iae0 0lts instantaneous velocity

  A mass on a spring undergoes SHM. When the mass passes f o*f)at 0ewjd)) u6hvthrough the equilibrium position, its ineo)6f))hv j 0a*tudwfstantaneous velocity

  A mass on a spring undergoes SHM. When the mass i2omq5 3qrotlp90sd oxa;(me g, t7 ,rxs at maximum displacement from equilibrium, its instantaneous accel3x rs9x; 2lqt0g,t emq m( d,ao5op7roeration

  A mass is attached to a vertical spring and bobs up and down betokg*aevv7v2qd 7 zo9 dri8y8(gvf l.0ween points A and B. Where is the mass located when its ki*ez8yvfg2ov 09rlq7 v vag o.d8dk7i(netic energy is a minimum?

  A mass is attached to a vertical spring and bobs up anh7(v )8s/ttjk bzzy q.af9h g0d down between points A and B. Where is the masqtj 9y.zh0fzsg87ba/kv )t h(s located when its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up and down betwe8eivb 3t ;ex+ 9y*ng:j:ajnuo en points A and B. Where is the mass located 8je:x uny3n a: gb*;o9ev+tijwhen its potential energy is a minimum?

  A mass is attached to a vertical sprin tstpz y;++o6dg and bobs up and down between points A and B. Where is the masp +toys6 +;dtzs located when its potential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-spring systemwch80e jnl90 m produces what effect on the system's mech 0 80mnj9lcewhanical energy?

  Doubling only the mass of a vibratww6x4d0j 4effing mass-and-spring system produces what effect on the system'4dwfwfx 64 ej0s mechanical energy?

  Doubling only the sp0a h0 5q9pin3nvg(uyiku u2z0ring constant of a vibrating mass-and-spring system produces whatuiq2y5 9pgau(0kn 0un0 ih zv3 effect on the system's mechanical energy?

  A mass oscillates on the end of a spring, bo9q bk r6f2g(c h9 ylncgv51u2nf5 bfl*th on Earth and on the Moon. Where is the period the greatest?lg(c *hcf rn91kfu6n 2yb9q52blg5vf

  Increasing the spring constant k of a mass-and-spring system causes what irx9l4; yfc8w mxwr.; kind of change in the resonant frequency of the system? (Assume no change in the systemx 8r wx9c. ylw;4f;imr's mass m.)

  Increasing the mass M of a mas*l)6luzvha; 63zheqh av (m(ms-and-spring system causes what kind of change in the resonant frequency of the sy;a(6(3vullhqzm* m z6ea)h vh stem? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system causes what kind oe+ 9t(bq2i- af:s7xu:nd9+ien wmspz f change in the resonant frequency of the :-9 x9emd7it w2+ b:eznsiqsu(a+pnf system? (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 strictpso;x5g1 l9 nm;nt2* atm4jng of length L. For this system, when undergoing smal *;tx ;n1og95 ja2cmns ltp4mtl oscillations

  When the mass of a simple pendulum is tripl4 u d/2mrx5 jd(m:(x, wkdlrvjed, the time required for one complet, udm rv m/rkwd((4l:5x djj2xe vibration

  Both pendulum A and B are 3.0 m lhl,, r/wt r (nw2fgme3ong. The period of A is T. Pendulum A is twice as heavygfmw t,h(rl ,wenr23/ as pendulum B. What is the period of B?

  When the length of a simple1q jnxffr,v7+ pendulum is tripled, the time for one complete vibration increases by a factor + ,v7fqfj 1nxrof

  What happens to a simple pendulum's frequency if both its length and p)agri0a w e z8b2 t3(3 blo*2zbtwbo4mass are inc0 g*w)z8bz3bi4 pr2 e2b 3twlaoot(abreased?

  Simple pendulum A swings back and forth at twice the frequency of ja- 2lov/gv79 qd;syx simple pendulumgjy 7-v9als x/v2 d;qo B. Which statement is correct?

  If you take a given pendulum to the Moon, where the acceleration of gr 79xo76fq ol6jccs qk,avity is less than on Eart6 co77 q,6 9cojklfxqsh, the resonant frequency of the pendulum will

  Curve A in Fig. 11-1 +acxy- f 7a1r(( /ud2wjrpo1o ry;t afrepresents

  Curve B in Fig. 11-1 repr-drly;y ;o+xi esents

  Curve C in Fig. 11-1 repr75 kiuv 0,vs3 hjizd*resents

  For a forced vibration, the amplitude of vibration is q;bm6kn,6 svf found to depend on the

  In a wave, the maximum displacement of points of the wave fromrij1c 44*u* pkg r994 mprvlnh equilibrium is called l4hm*ppvkirncj9 1ru94*4 rg the wave's

  The distance between successive crests on a wave is called th )9tob*i )qfyabg0 dw:e wave's

  The number of crests of a wave passingc7rqjul0 .5/a ,emd gg a point per unit time is called the wave'sl,mg/ajder. 70c 5u gq

  For a wave, the frequency te 0klh8vhkn .t8q7)ii imes the wavelength is the wave's

  The frequency of a wave increases. What happens to the distancer+pus-k :h :lp /da9uk;8 apbe between successive crests if the speed remains constan;hpl/pbe d8 9ua- srkkup:: +at?

  A wave moves on a string with wavelengtqd s*h th;3(xvsz5 uj2ve58tth l and frequency f. A second wave on the same string has wavelength 2l and travels with the same e 8u 55*q3stj2x( zhvtdtv ;shvelocity. What is the frequency of the second wave?

  Consider a traveling wave on a st- t q6dt2++sigk:6olakgr (ep ring of length L, mass M, and tension T. A standing wave ig6 2 : t-tsr+ga(ikeok pq+l6ds set up. Which of the following is true?

  A string of mass m and length L is under tension T. The speed of a wavxb lvkvn3a+vq;o) .q:e in the string )b lq;xv3qv :akn+vo .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 length?

  A string of mass m and length L is under tension T.;o txzpl5jphpr. 7;f3 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;p5hlofp r. jtz;73x p 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 hhnlm0gwqo/skk)+9 .e4m6 u z/b ejk)in the st/e6 bm/l .z joqkhm9ge s+4 w))nh0kukring 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 a transverse wave. As an S wave trav7l:vi; 3b 2 hgohslx(slfm16 xels through the Earth, the relative motion between the S wave and l2(v gls;o 3xhf 6x7mi:hbl1sthe particles is

  In seismology, the P wave is a longitudinal wave. As a P wave travels throocomnf2f2+a9m4 tdpj 8a3 zcd y-pg/6ugh the Earth, the relative motion foj ntcdf28+6mazpdmc3p4y2a-o9 /g between the P wave and the particles is

  The intensity of a wav mj6hojw 0xw hq+d /,do98o:pge is

  A wave pulse traveling to the right along a thi1z0n3 zrfu ;kwn cord reaches a discontinuity where the rope becomes thicker and heavier. Whatu1fk 0rz wnz3; is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each other on a st qpoy4l/vd65m,) xlwuring, one is traveling toward the right and the other toward the left. At the point that they occupy the same region of space at thuo,y4)qdmpx lw6/l 5ve same time

  Two wave pulses pass each other on a string. The one traveling towar5n8 ;;ozaahus.)jljz.8sd0 fw9w pt6mpq q +rd 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 the.m.wnhra 6u 0pd9oq8) jqzfl j;w;s 5+zpsat8y occupy the same region of space at the same time

  Resonance in a system, such as a 2t 2kvm3eqh 0j9pjc+ gstring fixed at both ends, occurs when

  If one doubles the tension in a violin string, the fundamental frequeuvk3 l0)qvkjt- 3/i ahncy of that string will increase by a factivh v-j )ka330k utq/lor of

  What is the spring constant of a spring that stretches jt 0n fr 48dp8orcpx(.2.00 cm when a mass of 0.600 kg is suspetp c088.frp( j4rxo ndnded from it?

  A mass is attached to a spring of spring constant 60 N/m alonga ( rm5g9x,mgyvwf;*b 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 ;y(br9 m mx5f,gawgv* back to its equilibrium position when it is oscillating. What is the amplitude?

  A mass is attached to a spring of sprp/6c mh u0xcp0ing constant 60 N/m along a horizontal, frictionless surface. The spring is initially stretched by a force of 5.0 /p0h0mp6 cxucN 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 /np zk+3uki 4zspring 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 nk k+z/izp4 u3oscillating. What is the frequency of oscillation?

  A mass on a spring undergoes SHM. It goes through ,h3n1xhsj z5i 10 complete oscillations in 5.0 s. What is the periods3x5inh,hj z1?

  A mass vibrates back and forth from the free end of an ideal sprijhpw 97 o203b*cu62auvpq gy nng of spring constant 20 N/m with an amplitude of 0.30 m. Whac6qp2702*vyb np 3o9uughj wat 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 a hoxtcese1, 9+qjshx d st7c2 ;g.rizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed x sq7+t;seegdhctcjx ,s 1.9 2of 1.5 m/s at the equilibrium position. What is the total energy of the system?

  A mass undergoes SHM with amd g3b+uun,.bi5g svc* ab tgqy,,l.j- plitude of 4 cm. The energy is 8.0 J at this time. The mass is cut in half, and the system is agai,q.n gy -b.,gitld5,u* 3+s ujbbagcvn set in motion with amplitude 4.0 cm. What is the energy of the system now?

  A 0.50-kg mass is attacheqnsx40vww:e)/qepi ybkxd7+e5g , 3z d to a spring of spring constant 20 N/m along a horizontal, frictionless surface.p3,yg+5e 7xe bkv:d/ziqe4 nqs0)w xw 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 spad-cia -6qh; y;(ouwsring constant 20 N/m along a horizontal, frictionless surface. T-w; ady( hsia;-co6qu he 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 potential energy the same?

  A 2.0-kg mass is attached to the eo2im(-zpnl(6mvex s4rr ,uz38 af1fend 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 the3s6x-( mvr i2per1,anzfm( u8o4 ezlf total mechanical energy of this system?

  A 2.0-kg mass is attached to the end of a horizong3*1:ffxq nf k5 u67wb*a hyoptal spring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the total mechanical energf*ghb6 5: xy afkqn*1u73wfopy of this system?

  A mass vibrates back and forth from the free end of an ic6bd pfd 8ju m+n08(radeal spring of spring constant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kinetic energy of this vibrating mass0 frb jd8(nmdc+ 8pa6u?

  The mass of a mass-and-spring system is displaced 10 cm from its;ehy2u ; 2gf xm0u )iz6hr3ubb0jck i4 equilibrium position and released. A frequencyu) m420;e3 rbxuf 0uc62 jizghihykb; of 4.0 Hz is observed. What frequency would be observed if the mass had been displaced only 5.0 cm and then released?

  A 4.0-kg object is attacheb1:yl-jrm6,kn g ydi u55:ogf d to a spring of spring constant 10 N/m. The object is disp65-, :bjf oyigu15rm lk :ydnglaced 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 sz( 5ccnxo/yz1 pring constant 10 N/m. The object is displacn1z/ c5y(ozxced 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 ofv;mf 6)/s rdeblq:t-z spring constant 18 N/m, displaced slightly from its equilibrium position,)s;/t6vedr lf-:qmb z and released. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a freque j/(vpiwt 6cn,ncy of 1.27 Hz when displaced a distancvt6 cp,j(ni/we of 2.0 cm from equilibrium and released. What is the maximum velocity attained by the mass?

  Two masses, A and B, are vvv.x8 on -wqt;dcv82attached to different 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 fr8x-vtnqvd vv8.c ; ow2equency of 16 Hz. How does the maximum speed of A compare to the maximum speed of B?

  A 0.30-kg mass is suspende1 angdefdxog+ )uay,w/88 0x rd on a spring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then1gxd+noua g80war 8)y,/fxde 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 th6v cgt4,e:b yde mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and released frotge ,:4 yb6cvdm rest. Calculate the total energy of the system.

  A 0.30-kg mass is suspended on a spring. In equilih -i min6.vk0m/t-e ry7 jiu0a0bfpl-brium 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 eq-kivum0f /ta y.p70rn-m06j eil -ibhuation of motion.

  An object in simple harmonic motion obeys the followmd40 /khxzu 6ping position versus time equatiokux/hzp4 md6 0n:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonis ei 9ctu.xbnj58* vmdbfpzw6+3 hy;* c motion obeys the following position versus time equat*hui. 98wf s5vc dyej tbb; 3xnz+*m6pion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the followingn 96 fy8g:glv;y- a2f mmmly*p0ihg. smfj) c9 position versus time equation:gf n;m9hg2 fy) .m0y:-v gfmi m6ayl8pj s9l*c
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free ea / 0ucur*ujc-nd of a spring executes simple harmonic motion accordin*cuu/- cjur0a g 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 ijbl/l:y7 x:/ ;nqaly to spring with a force constant of 20.0 N/m oscillates on a horizontal, frictionless track. At t= 0, the mass is releaja :;lylqyi/7bl/ : xnsed 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 frequency and ,c fihy* gpoe klg1,27period on Earthy g1k ih g,p,o2l7*fce?

  A 3.00-kg pendulum is 28.84 m long. What is its period on Earizom1qs 5op66th?

  A pendulum has a period of 2.0 s on Earth. Wbja ae4r 2b51that is its length?

  The pendulum of a grandfather clock is 1.0 m l *. :fg7fx 8qmriv9q(lq hvjy3ong. What is its period on the Ear 3f(.*q h8xgiflvr9 :my7j qvqth?

  The pendulum of a grandfather clock is 1.0 quf:u(m47p n lc*tsf6m long. What is its period on the Moon wpm4t c7u qu nf(f:l6*shere the acceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg *s )u j/pwa 2d,veby 9f9wwb:zspherical mass attached 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 frequency woul)beuy9/ dwjw9p as*zv:bfw, 2 d have resulted if a 0.50-kg mass (same diameter sphere) had been attached to the string instead?

A simple pendulum consisting of;5z:v pb*cwix a 20-g mass has initial angular displacement of 8bwi;*x v:p5 cz.0e. It oscillates 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 "snapshot" of a wave at a givhubjw w k;dh+d12yg4( :bya8qj* cy c6en time. The frequency of the wave is 120 Hz.wjg w2 c d:u1h+c4 q86(*hdba yjbkyy; What is the amplitude?

  Figure 11-2 is a "snapshot" of a wave at aaue7x.sjhn r v70f 4e6 given time. The frequency of the wave is 120 Hz. What is tujxv76ef es470.hn r ahe wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency of.x1n3jyzy0o3ny q b2 s the wave is 120 Hz. What is the wavybs y10 ynoj 3.zqnx32e speed?

  What is the frequency of a wavx. 4ero kqog03e;huy 2e which has a period of 6.00 ms?

  What is the period of a wave with a freqm2 oqgu7gab68uency of 1500 Hz?

  What is the wave speed if a wave has a freqqx+ tv q5ev;u0uency of 12 Hz and a wavelength of 3.0vutv;0 q5+qex m?

  What is the velocity of a wave that has a wavelength of 3.0 mq /20 apf k+9h:tg,rstacfvr5 and a frequency of:tq92sc+v5 ,ffpat/0 ar hkg r 12 Hz?

  What is the frequency of a 2.5 m wave trave6bfg/ 6xzjtc o v(-.i5q wu5nmling at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is under a tension ofuk5 vbh m;8n5z 1350 N. What is the wave spe5h z;mv85bun ked?

  A string of linear density 6.0 g/m is under a tension of 180 N. What is uri( fo3eaz,s6e as.8the velocity of propagation of u,e a eio3ssr8azf6.(transverse waves along the string?

A wave whose wavelength is lt 4r(ba:1pn y0.500 m is traveling down a 500 m long wire whose tott14a(nbp :rylal 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 propahabot -o02c89 9q wny,:nwamygation 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 freb9atmywqa0,2 9nywcn: -h8ooquency of this string?

  If a guitar string has a f)f g sj3pz 3:b(f8 lkrzjgi,/hundamental frequency of 500 Hz, which one of the following frequencies can set the string into reson (3:bf,j )8kpjsghrf/z 3lg ziant vibration?

  A stretched string is obsed p)ok9 -kepl5rved to have four equal segments in a standing wave driven at a frequency of 480 Hz. What driving frequency will set up a standing wave with five equal s p5edk-k9 o)plegments?

  A string, fixed at both ends, vibri2t4s4(w kxz peisd+ /ates at a frequency of 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency is needed if the standing wave patte/4(kdsi2e w tsi+px z4rn is to contain 4 loops?

  A string of linear density 1.5 g/m is under a tension of 20 N. What shout) ldzq-y bunn0a4n )k:yo0;ul-)mqdld its length beyk nqd;:0dba -mqlotnu0))z)nl4uy- if its fundamental resonance frequency is 220 Hz?

  Find the first three harmoz*4 7;ylwgev9+ enribnics of a string of linear mass density 2.00 g/m and length 0.600 m when it is subjected toy*b iegw7rn v+ lz;94e tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. When the strin (vrw,a05*bfm vszuj -5vm; slg vibrates at a frequency of 85 Hz, a sta; s(ms5uwfvr 0m-,v*avlbz5 jnding 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.