The time for one cycle of a per oiq)nf2q/ jgyw5v85w4+ioo uiodic process is called the

  For a periodic process, the number of cycles per unit tim5;f ihphz 1ub-/sgpy :2cw+ bbe is called the

  For vibrational motion, the maximum displacement from the equilibrium point is l 1a7-*l/q 1rdi j0mxgadbzi5cadx i glr*ab- m1iadj05/lz71qlled the

  A mass on a spring undergoes SHrm-) kwd x)2tyM. When the mass is at its maximum displacement from equilibrium, w)m-y2dk)rtx its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass passes through the espe9( i.tdhju0ow )ihciz 0 .;quilibrium position, its instantaneous v cj .z ue00ishwt.hp;9()idi oelocity

  A mass on a spring undergoes SHM. When the mfmsyo)rs9),e ei c; z8ass is at maximum displacement from equilibrium, i9yfc iez8,s;ms ))re ots instantaneous acceleration

  A mass is attached to a vertical spring and bobso2xg4p(c, 4 s 2puxuq *sn3uct up and down between points A and B. Where is the mass located whe 4u 24og (c2unuspx*x 3sq,ctpn its kinetic energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down betwe s b+wc-8)yu-+t7nvjptm,vx ven points A ann7-y+vc-,wu vbj)+smx tvtp8 d B. Where is the mass located when its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up and x)v7cfqlg-8,wq, p:hhffei5 down between points A and B. Where is the mass located when its potential) ,fwhq ci:v,-xl8p5qhf7e gf energy is a minimum?

  A mass is attached to a vertic;qn i(j+ wufzkh; nfm (up35l*al spring and bobs up and down between points A and B. Where is the mass fq+nuw*f;j(; 35 lhm nkui(pzlocated when its potential energy is a maximum?

  Doubling only the ampm pc98h *fvb;9soucr1h4s / zulitude of a vibrating mass-and-spring system produces what effect on the system's mechani9sm h4bps1* h fuzc;r8ocv 9u/cal energy?

  Doubling only the mass of a vibrating mass-and-spring system produces5((u gxviy5*m 5olv9 lrjcqz8 what effect ojiz u( lo*yxm89cgq5(rv 55 vln the system's mechanical energy?

  Doubling only the spring constant of a vibrating mass-/4 qihfee4npvhz 3mr a/7fd8b99z f0.wz(jfxand-spring system produces what rdf9e /p vafx4eznw h(37mff8 z ji./4zbq9h 0effect on the system's mechanical energy?

  A mass oscillates on the end of a sph zq rd;q)b+2nf f/du)ring, both on Earth and on the Moon. Where is the peri/fzrqb))dqd h2n;u +fod the greatest?

  Increasing the spring a vw6/r6ldzg1os43 jrconstant k of a mass-and-spring system causes what kind of change in the resonant frequency of tvsr66/g j3rd lwo4 az1he system? (Assume no change in the system's mass m.)

  Increasing the mass M of a j-br0q+ffv g9vq6*g cmass-and-spring system causes what kind of change in the resonant frequency of the system? (Assume rf c0qv+* 6-vb9gfgqjno change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring systn37k,) +u)jdfv jvha fem causes what kind of change in the resonant frequencyh d+j j7)f)av nukvf,3 of the 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 ofay/1 i2w2prk:n, pbrf a mass M attached to a weightless string of length L. For this sys2anp f,y/1ir2bp:w rktem, when undergoing small oscillations

  When the mass of a simple pendulum is tripled, the time requireqlcj0kjg n+3;f- pp b0d for one complete vgbf+0kjl0np; j3-qc pibration

  Both pendulum A and B are 3.0 m long. The period of A is T. Pendulum A is + s+aqh*5cde8g bjx+ j ;lea-ktwice as heavy as penqkbshacg+ *5- e +8ja;jxedl+ dulum B. What is the period of B?

  When the length of a simple pendulum is tripled, the time for ov9e1 l)ea2.nh1.xdx5bmqpy .j 3 kgld ne complete vibration incre.e.lh1p9xmd xkle d 5a3g.jnbyq 12)vases by a factor of

  What happens to a simple pendulum's frequency if both its i:ve0 c2*, 0h7i hnh/+kewg co2rstqilength and mass are increaechksriw+qio cn2h/ 0i2t,he*:0 gv7sed?

  Simple pendulum A swings back 9b 755n0o(y 9r z wfwtiuhk5szand forth at twice the frequency of simple pendulum B. Whist9(h97yu5k5on0fw iz5 bzr wch statement is correct?

  If you take a given pendu3;h vv:8zwato0 n,zgj lum to the Moon, where the acceleration of gravity is less than on Earth, the resonant frequency of the pendulu,8 z3v:ov ;jn agtz0whm will

  Curve A in Fig. 11-1 represeq sp ls/5969ssz+zn qxnts

  Curve B in Fig. 11-1 represens9rompqsxfsbu 2*/zt0 5x( *wts

  Curve C in Fig. 11-10) 1hvp (wqe eit np-l)zu1rg7 represents

  For a forced vibration, the ampli xh, :7u/jogdxtude of vibration is found to depend on the

  In a wave, the maximum g;(bvbe gsuc/z0w)ge+ qq5q -displacement of points of the wave from equilibrium is called the waveb 0w; ge+q5-gvs /ezq)gc(ubq's

  The distance between successive crests on a wave5)qd7sqqmf df(bm(n : is called the wave's

  The number of crests of a wave passing a point per unit* gaiq /*arha2 time is called the wave's *i*/aqga 2har

  For a wave, the frequency times the wavele,v,x w .zzgp*+tt31hetfm*n rngth is the wave's

  The frequency of a wave increases. What happens to the di+ 0ickr iprz4 qsuwe9y.6v 98hstance between successive crest9c0w84 6v u+hr zii pqs9r.kyes if the speed remains constant?

  A wave moves on a string with wavelength l and frequency f. A second wave in4 m:;q:ac73hd l8 kva)m*d)hnql2p 3l fj wvon the same string has wavelength 2l and travels with the same velocity;3li)l4 v87 n h)fv hd2l npkd qmmw:a3ac:j*q. What is the frequency of the second wave?

  Consider a traveling wavetf61 jm4 smt.g on a string of length L, mass M, and tension T. A standing wave is set up. Which of the following is true41.6msfg m tjt?

  A string of mass m and length L is under tension T. The speed of a wave nigl8ln5 1(r dtb2 p2fin the string is v. What will be the speed of a wave in the string if the mass of the string is inc p 8nbir f(tnd2lgl125reased to 2m, with no change in length?

  A string of mass m and length L is under tensiono1auw1w)6 +rage n vd) T. The speed of a wave in the string is v. What will be the speed of a wave in the str a1 wod))1ve +ragn6wuing if the length is increased to 2L, with no change in mass?

  A string of mass m and length L is untn k 2zb28v,ckder 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 tensikzbv2c8n 2 k,ton is increased to 2T?

  In seismology, the S wave is a transverse wave. As an S waved3wdz a5h: vq+ travels through the Ewa3dh q:+ 5zdvarth, the relative motion between the S wave and the particles is

  In seismology, the P wave is a longitudinal wave. As a P wave travels tl.rlw77gnl7c hrough the Ea7ngl7 crl 7.wlrth, the relative motion between the P wave and the particles is

  The intensity of a wavwyf- u 3mer++he is

  A wave pulse traveling to the right along a thin cord reaches a zx0224aae-vu9e8 bitk7l d s ndiscontinuity where the rope becomes thicker and heavier. What is the orientation9 2tds48 0-zn bixe2a7lkeavu of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass eag uu m-oq8h*0pch other on a string, one is traveling toward the right and the other toward the left. At the point that they occupy the same region of space aq* -0uu m8gopht the same time

  Two wave pulses pass each other on a string. The one traveling toward the ri.nsz1cd2 dlyliw(tyt1 /,zc/yg5pk 4j8 fsv.ght has a positive z1sg k.c4.1y8pci2 dt5s/tl y l(z wn/dvy,jfamplitude, 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 c fb ;mswt8v/n7iko.st7n)e0at both ends, occurs when

  If one doubles the tension in a violin string, the fundamental frequency of tha8i l,b+x+ vh: dzzka;et sz :hxkvi+ e+;lb8zd a,tring will increase by a factor of

  What is the spring constant of a spring that stretches 2.00 cm when a mas xh1lcuz9r0 559l.iyetyqto (s of 0.600 kg is sus. 9 c yoyitlhu0rxl9(z5eqt15 pended from it?

  A mass is attached to a spring ofq+ ju)5qlqwl *m jk rii.kx,*8dkso8/ 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 equilibrium position when it is oscilmqxri.ukj) j*ldosk *8kq 8 iqw+5, /llating. What is the amplitude?

  A mass is attached to a spring of spring constant 60 N/m along a horizontal, fr-mk*p)3pul h7cieqew:u yfbh 8 3b8 a)ictionless 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 its8flb ):3u)p - y*87ekihcawh3qbp eum 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 horizon/sj+r:nm 5 pgfweicr b y74x1-e2us( wtal, frictionless surface. The spring is initially stretcher7we5 y/(cuesb-2rs ix jp gf w+:n14md 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 frequency of oscillation?

  A mass on a spring undergoes SHM. It goes through9kof cw8: gu)jgqk*ej 29u2hw 10 complete oscillations in 5.0 s. What is the g:wuq9 2ukf2*jw)j oh8egck9 period?

  A mass vibrates back and forth from the free end of an ideal sprixw**1pftwc4a ng of spring consw4at*f wcx*1p tant 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 from its equilibrium position?

  A 0.50-kg mass is attached to a spring of spring cotmue.v p+yl+*l)nhs qrr s13;nstant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s s q.lh)3 +r;*esp tl1n+rvumy 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 kv9s sh-v 9dp*at this time. The mak-hdss9*9 v pvss is cut in half, and the system is again set in motion with amplitude 4.0 cm. What is the energy of the system now?

  A 0.50-kg mass is attached to a srzvf 2lk c4gue5 0v-w4pring of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speew4z4eu5 r0kvv-g fc 2ld 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 spring4 xynse0:rm.l constant 20 N/m along 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 what locatilrm:se0.4 nxy on are the kinetic energy and the potential energy the same?

  A 2.0-kg mass is attached to the end of a horizontal sgq 8 d 6:bzrdjg7th*j (uze33ipring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the total mechanical eiz 33 h(ej:dg bg7*ju8qtzd6 rnergy of this system?

  A 2.0-kg mass is attached to the end of a horizontal spring of spring constant 5 -jqh hodfd i:(/6)5:d dcymgqu(tmu:0 N/m and set into simple harmonic motion wid6uom/ 5md )g:qhhq: fd- (cyduti j:(th an amplitude of 0.10 m. What is the total mechanical energy of this system?

  A mass vibrates back an-8cy83k g3lp zi;y jtjd forth from the free end of an ideal spring of spring constant 20.0 N/m with an amplitude of 0.25p8cjz3y;-k38i jtg ly 0 m. What is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring system is displaced 10 cm from ituzlt 3 kh cm7k7*1ucw+s equilibrium position and released. A frequency of 4.0 Hz is observed. What frequency wo7zw 3k*l u7 kt1+cmuhculd 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 constant 10wxq.pevghj2 dix ni 4l;+f;5akr6;,c N/m. The object is displa 2dn+;5jarwepgxl ici;,f6 q;k h v.x4ced 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 sprq0k exti e.q3o 1oq biki94z9odybb)9 2+4pkfing constant 10 N/m. The object is dqfoz94i 9.bqek 4ekq) 2x3dib0 p to1yo+9ibk isplaced 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:cd 3e3 xz+mok/m, displaced slightly from m:xc33+ zkd oeits equilibrium position, and released. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequency of 1.27 Hz 8d jq;exc;wqbq4 h+3u when displaced a distance of 2.0 cm from equilibrium and released. What is the maximum velocity attained by the m43hue ;cd qqxj 8;q+wbass?

  Two masses, A and B, are attached to different sp aqtbt0 )( 3izniezn1,rings. 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 to the maximuzzn e1i i(ta,q 3bt0n)m speed of B?

  A 0.30-kg mass is suspended on a evykaq(b2*/m z1 2)mnbye 5 fispring. In equilibrium the mass stretches the springke*qbvyy2 )(2mmi1/5afb nz e 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 spring. In equilibrium the m1nck5v6z(+ yu1ro5ba clrbq0 h45cmrass stretches the spring 2.0 cm downward. The mass iszh1 5c 64 u0mblocycb+qv n( ra5r1rk5 then pulled an 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.eg *9u+7bf rd r+sk2uh)mp ,nw In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down a+ wh)fr u*prduke2 9 +b7nm,sgnd released from rest. Write down its equation of motion.

  An object in simple harmonic motion obeys the follo06 gwb.x)2dmj*btrwfn o:9nn wing position versus time equgjnwbtdnno.9 rfw2 )06x:* mbation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following positiouas9l( ,y l4sdcg 5j,:du shi,n versus time equatadd :lyh59slji4,( us g,scu,ion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following position versus -.ct y3zku0k(w) xxcrtime equa c(uxwx3-0.c)yrk tkztion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spr z7a6ldduwc2*/i *q ;mmw5khlz8f jn. 3blu0uing executes simple harmonic motion accordizll zdw.wdun8au k2f/u*5i mm7*0b3c 6lj q ;hng 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 a force cop:3 a 9/5yfx z/+fsfnk ey+;njixm:tfnstant 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, the spring is stretched by 10.00n:fk+fmf pen +3sj/5a9z txi fy:x/; y 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 2g1r-m0krqql - t 9hjl6tpb* 5hl5slkswings in 8.0 s. (a) What are its frequency and period 60k 55k-sl29-qrh rbjqptthmgl1l *l on Earth?

  A 3.00-kg pendulum is 28.84 m long. What is its perbe oh2 +.:zvg, uatgyt5e(5sg ufm v.+iod on Earth?

  A pendulum has a period of xit oy*8*y* , f+nkbej2.0 s on Earth. What is its length?

  The pendulum of a grandfa nmj:vty2a+ee os/ 0l6ther clock is 1.0 m long. What is its period on the Eaosya+v0n2l /m6t: jeerth?

  The pendulum of a grandfather clobrj +kf +5)zvhnq:lu6 ck is 1.0 m long. What is its period on the Moon whj )hu lv6:brz+nf+5 qkere the acceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg:d vy wr9w:cz. 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 with a frequency of 2.0 Hz. What frequency would have resulted if a 0.50-kg mass (same diameter sphere) had been att.wwzrv9cdy:: ached to the string instead?

A simple pendulum consisting of a 20-g mass ./is c8sw)k ia9gq nn:has initial angular displacement of 8.0e. It osci/) iqn9snk:.c8g isawllates 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 given time. The frequency of-c)ro:prr u b. the wave is 120 Hz. What is the ro. -)c urbrp:amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequenc5 t oidgd67;yoy of the wave is 120d o;5o6d7y igt Hz. What is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given tio4vhkv,u 4r;asv).rpvr 9 td, me. The frequency of the wave is 120 Hz. What is the wrvrp;9a4 .uv,o4,drk) vv shtave speed?

  What is the frequency of a wave which has )jdzswsk2 ,61sw4hc f a period of 6.00 ms?

  What is the period of axc2qla9 h+y(18 cw,dl rxsf.t wave with a frequency of 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz and a wa5rc:lmqg-y3 nn s6 2b4kgeb)o velength of 3.0 bme4br) 2gn6qycol- k3:s5ng m?

  What is the velocity of a wave that has a wavelength of 3.0 m/yw a;i+osz;mju/ m3y and a frequency of 12 y w+s3o uj;y/ ;izamm/Hz?

  What is the frequency of a 2.5 m wave traveling at 1400 n (/ bp5jl+vv8wh*k irs/7ltg m/s?

  A piano string of linear mass density 0.0050 kg/m is under a tension of 1 s7 iss/g+n/h0w +y9edrl 6uks350 N. What is thekss7l rdeu//++6 0yw9ghnsi s wave speed?

  A string of linear density 6.0: o;muguk ozx.p5(*g u g/m is under a tension of 180 N. What is the velocity of propagation of transverse waves alou m* g(u pguz;o.ko5:xng the string?

A wave whose wavelength is 0.500 m is traveling down 0dj2ut5 *+f0ess,y ux jc2 lcea 500 m long wire whose total massl05sc,ste+2 jj2 ueud yf 0*cx 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 6n wwf a rum*o)r-8j;5wi id(ga 2.0-m long string fixed at woigmdr-5 8a )ifnj(;w *ru 6wboth ends is 200 m/s. Which one of the following is not a resonant frequency of this string?

  If a guitar string has a fundamental freqy b4q rc26f ,e pf((gavh1yuk7uency of 500 Hz, which one of the following frequencies can set the string into resonant v 7f6gyek ,rq (payucf1vh42 (bibration?

  A stretched string is observed to have four equal segments in a standinh05zz;,cw k9cgt lc3odnqd;.: ;b p,q7ffxl xg wave driven at a frequency of 480 Hz. What driving frequczq dg 3hpl7:q o5;;.nx,d 09lckwc xfbf ;zt,ency will set up a standing wave with five equal segments?

  A string, fixed at both exw rw ly::o/b)nds, vibrates at a frequency of 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency is needed if the standing wave patte:/ bx:ylw) worrn is to contain 4 loops?

  A string of linear density 1.5 g/m is under a tension of 20 N. What should itsn m+q fm j1pm9k;:1bvfjiz:4 l length be if its fundamen:9pmmij mfv lj4;11kz:+bqn f tal resonance frequency is 220 Hz?

  Find the first three harmonics of a string of l1pv;n unr55/v;ac be hinear mass density 2.00 g/m and length 0.600 m when it is subjected t/1p ;c5u v5;vbnhnare o tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. When the string vibrates at a nj;)mnv7*uu apj/3g yfrequency of 85 Hzvnyj7m) uu/j; p *nga3, 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.