The time for one cycle of a periodic procezu- .j quq jwgral4 jj4)t9)z9ss is called the

  For a periodic process, the nu8wr m.-zdc xgu, 2df0+dv:sdj mber of cycles per unit time is called the

  For vibrational motion, theb;l0ju .(nacl maximum displacement from the equilibrium point is called thlu(j;c . 0nalbe

  A mass on a spring undergoes SHM. Wh4nai)ssh)o8z4t sh: 6j hch.w en the mass is at its maximum displacement from equilibrium,inh a.6h jc 8sos4wz h):)4ths its instantaneous velocity

  A mass on a spring undergoes SHM. When t 6ooea1i djd lp5sib64-b4)q.g 7eohxhe mass passes through the equilibrium position, its b6o4 hox.5ilp1) 4q6oi-sba degje7d instantaneous velocity

  A mass on a spring undergoes SHM. When the mass is at maximum displacement y7kcji8e,d-r2y u(eyfrom equilibrium, its instantaneous acceleratjey,u8ryk7c2idy -(eion

  A mass is attached to a vertical spriw-6bzo rz.ei hid uqw)6t5f6( ng and bobs up and down between points A and B. Where is the mass located when its kinetih66r 5w.ozbi -(t6fiwdezq)uc energy is a minimum?

  A mass is attached to a vertical spring and bobs up and do.f,wtw.wsj dv x+i,;p wn between points A and B. Where is the mass located when its kinetic energy is a maximuwvpi+.s, x;d. wf,tjwm?

  A mass is attached to a vssp 2wm)h 3f9bertical spring and bobs up and down between points A and B. Where is the mass locbf29 h)spsmw3 ated when its potential energy is a minimum?

  A mass is attached to a vertical sp-i6o 3dv (/jvxiv)hizm9h6. sfasfw6yd8g - q ring and bobs up and down between points A and B. Where is the mass located when its poten6)qvi6fyf dzi s8dvx g3 ws-i -(avh.o/h9j6mtial energy is a maximum?

  Doubling only the am9wl :pl7g0tc7-eaqy hplitude of a vibrating mass-and-spring system produces what effect ohqp 7:yl9e7 0twacl-gn the system's mechanical energy?

  Doubling only the mass of a vibrating mass-and-spring system produces whava ;kpfy. k2opu/wob9 8dg1fg43m(vc t effect on the system's mecgb4/. d8k3kpg (2uoffyc pm w;9aov1vhanical energy?

  Doubling only the spring constant of a vibrating mass-and-sp5q3 z xs9 liauv7.mgx4ring system produces what effect o3 i94xlum g5xsva 7q.zn the system's mechanical energy?

  A mass oscillates on the end of a sprind**cxcg/n9 wuj-uw+ 3fxx r/3 e*fzt dg, both on Earth and on the Moon. Where is the period the greadxnzcgw xfw /-u**/r 3+xtc9ej*u3 fd test?

  Increasing the spring constant k of a mass-and-spring system causes what kind of 0 5wl4bdyv5yo ch4ov0d 5b5ylyw ange 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 kind of chan m, e .r03t0o/yuuofbage in the r3u.0b,oay0omet uf/ resonant frequency of the system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-sprn .fnl(cxqz1 *ing system causes what kind of change in the resonant frequenc*ncq.xn ( l1fzy 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 of a mass M attached to a weightless stmto (s0)dud ; fu-9qm4.a bijxt k7i.a-p x(giring of length L. For this -du -ifp4stdxgmiiat )..;u9k7amj q(0( b xosystem, when undergoing small oscillations

  When the mass of a simple pendulum is tripled, *k4;au r0uqk9 sbo /txthe time required for one complete vibrx a;kbq 0souru/4t9*k ation

  Both pendulum A and B are 3.0 m long. The period of A is T. Pendulum A p8k 2 m(5,jml(cviwon is twice as heavy as pendulu8nl,v(p( i2mjok c m5wm B. What is the period of B?

  When the length of a simple pendulum is tripled, the t5zpkbg-nog so**-y 8w ime for one complete vibratioy-5ong s* p* owz-8kgbn increases by a factor of

  What happens to a simple pendulum's frequency if both ,n cn k,k6g15adne 1ulits length and mass are incl5uc g61dnn1ke k ,,anreased?

  Simple pendulum A swings back and f gq8gjmd0-) -rflk5 msluh2nf8 0k*ohorth at twice the frequency of simple pendulum B. Which statement is co 5d2*kn8hlughfo)qfr klgm- sm8j- 00 rrect?

  If you take a given pendulum to thttg2/46355tva eecommd5l tse Moon, where the acceleration of gravity is less than on Earth, the resonant frequency of t3/mgc45e a 6tldet5t2mv so5 the pendulum will

  Curve A in Fig. 11-1 represecaehw z6to2v2 62j pfnw6nx- ra;9wk)nts

  Curve B in Fig. 11-1 repr d6ns.q cmv0sl9b7 j-53:nn cpim3ajbesents

  Curve C in Fig. 11-1eg3uzt +0 gl80z)qg.axvs 7c refqz/4 represents

  For a forced vibration, the amplq d0sru vc5o+;ac: 1dmitude of vibration is found to depend on the

  In a wave, the maximum displacement of pokwwn f1z9s6d 7ints of the wave from equilibrium is called the wavfnwd61zws79 k e's

  The distance between successive crests on a wave is called ts5 3tts)mauqh5d8 /is he wave's

  The number of crests of a wave passing h r.ogu3-1m eba point per unit time is called the wave'rgmoe1u. b- 3hs

  For a wave, the frequency tifq)lwmqwgt1 ,hp(k z5 r-d3m5qu * )qmmes the wavelength is the wave's

  The frequency of a wavbnko :+fmge6r 55. ha7 pgj3eufvi;l(e increases. What happens to the distance between successive crests if the speedfe(ebfm 6gk o.3uri5; g5+ lj:ph n7va remains constant?

  A wave moves on a string with waveleh y9m83h ouas.efcp 03ngth l and frequency f. A second wave on the same string has wavelength 2l and travelf .3 mc3ay p8eu9hso0hs 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. l;soiia oces),y .k2)x/fa+ 6 xnue0k A stand,xsika)s62 n;oilfuk/ o e0yc +a)ex.ing wave is set up. Which of the following is true?

  A string of mass m and length L is under tensioncdae2u7 2r;/furrl; m T. The speed of a wave in the string is v. What will be the speed of a wave ia2/uu72 rf;;d recmlr n 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 ten;osn 9sb*: g5j bwsgl :iqh.-ssion 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 increased to 2L, wswl :ijbh b:g.; q9gsns-o5* sith no change in mass?

  A string of mass m and length L is under tension T. The ;p.*afn 5juej5zzx1 xk l7li/speed of a wave in the string is v. za*;55xfpz7xi/ljj k1 ln.eu 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. Asrw. nr00,( yg gwoit.*hy6 fi 05spyjf an S wave travels through the Earth, the relative motion b f0t0wpr6iy. , jyi5hfyg w0(n*.osrg etween the S wave and the particles is

  In seismology, the P wave is a longitudinal wave. n:v(v4 wn lap:f*vdi3As a P wave travels through the Earth, the relative motioavd3l :*piv(4v :nwfnn between the P wave and the particles is

  The intensity of a wave -0ffa5rs)o yvs3zzl y)ne z *,y3ka9 xis

  A wave pulse traveling to the r:) p4te9yesk vight along a thin cord reaches a discontinuity where the rope becomes thicker and heavier. What is)pee vtk49s: y the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each ob4y x5vw9 -vdxther 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 at the samexdx5 w-vb49 vy time

  Two wave pulses pass each other on a string. The one tra7,1ql bzrrty) gureg e).qt++ veling toward the right hasr )q bqe, u1)t7 eygtg++rz.lr 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, su7egh/:+fv9onu k6 gudch as a string fixed at both ends, occurs when

  If one doubles the tension in a violin string, the fundamental frequen,t llwt9s)jh tj) c*v8cy of that string willlt,vh)s 9wtclt 8j*)j increase by a factor of

  What is the spring constant of a spring that stretches 2.00 cm when (e y2uycy2j:r .a1hg sa mass of 0.600 kg is suspe2yh.:y s2(yec a1ug rjnded from it?

  A mass is attached to a spring of spring constant 60 N/m along a horwaw8 )d1hmt w.su85zgizontal, frictionless surface. The spring is initially stretched by a force of 5.0 N on the mass and let go. It takes the massuh 1g.w 8a 5wdwsmt8z) 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 60 N/m along a horizg/u)+uhd86dlshkde y l j*8+vontal, 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 yu e*gd+ v 86hjds )lk+h8ld/uwhen it is oscillating. What is the period of oscillation?

  A mass is attached to a (m9qcfb+d hx4 tv 3l; 51xfl0weskj9s spring of 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 whenhf4+mvj1c(wxsx59lbsq0 fl;t ed39k it is oscillating. What is the frequency of oscillation?

  A mass on a spring undergoes h6fjqi-: 9 07x 88wiuw9 f f4wmmwxt3arz vdn/SHM. It goes through 10 complete oscillations in 5 -h834u0n9869qwww ftifzv x/mj mdwfi:x7ar.0 s. What is the period?

  A mass vibrates back and /0enzi01e5z o z;rvqxforth from the free 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 vibrzqev ;1i ex0 znz5r/0oating mass when it is 0.30 m from its equilibrium position?

  A 0.50-kg mass is attachedx*,u e8vrk0pj5 v7bw z to a spring of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillvpvw0ek bzurj8 x7,* 5ates 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 enermpq51:-2i5j lhq f dsqgy 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 the energy of the system npf s-l:1 m5 j2diqq5qhow?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m along 8/bwkx )nj+qh a horizontal, frictionless surface. The object osch+bn/kq8x j)w illates 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 ofis8:cvxau egux/68l 9 spring 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. 9/ ulu8x6s8gexva c:iAt 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 consta ml4hix(6euebtum qgae xb.d84 3,)e :nt 50 N/m and set into simple harmonic motion with an ampl8.e t,(b aqex mu4hd )eg4be3xi6mul:itude of 0.10 m. What is the total mechanical energy of this system?

  A 2.0-kg mass is attached to th kw51;zn 7lvm2)p):)azdxx ar* j flwne end of a horizontal spring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.1d*)zn: mxlazx wlpn 2aj5) fk)rwv17;0 m. What is the total mechanical energy of this system?

  A mass vibrates back and forth from the free end of an ideal se,01d50 ze m0fmru6ycc oc05j osr .dbpring of spring constant 20.ze0o .dm j0o61r uycesbc5 0,d 5mfr0c0 N/m with an amplitude of 0.250 m. What is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring syste; g,cgsn,5owzm 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 had been displaced only 5.0 cm and then o;wgc5zg, n,sreleased?

  A 4.0-kg object is attached to a sprineh0zgiqs*6,j *5xmiz g of spring constant 10 N/m. The object is displaxg0 sqhm6e**j,z5iziced 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 spring constant 10 N/m. Theh0y0sksux1 t: object is1 su y:txhs00k displaced 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 spr g iqa,2c1mg, g1qgs.lq: zlp-ing of spring constant 18 N/m, displaced slightly from its equilibrium position, and released. What is the frequency of its q2cil z:,s1 g, q1gl -ag.gmpqvibration?

  A mass is attached to a spring. It oscillates at a frequency iis0 9u+3byimof 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What is the maximum velocity attaineuib0 si39+ myid by the mass?

  Two masses, A and B, are attac kr yt*,,hrk+yhed 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 frequency of 16 Hz. How does the maximum speed of A compare to the maximum speed k+ h*trky,,yrof B?

  A 0.30-kg mass is suspended on a spring. In equilibrium the t2 r7t-c y x+j8fu)yj ra5aa*mmass stretches the spring 2.0 cm downward. The mass is then pulled t*yjafj5ayxu)+ r-8car mt2 7an 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 stretche *qjd;b6nr )pg nr1:ves the sp*ped rj )1vnb;r:n g6qring 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 the system.

  A 0.30-kg mass is suspended on a spring. Ino4uc2 hed e 7ryfx1(;g 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 7rh(yf x2o; e gc14uderest. Write down its equation of motion.

  An object in simple harmonic mo*4mm502pe xmdatji:t4o z. wption obeys the following position versus time equp0i*m wto 4.p:djmz 5mtea2 x4ation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion 5/znhws:hyvei6(8 zoobeys the following position versus time equatz /zhw hiov8ny(6se:5 ion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic7yi.;8l0ub1u .u h hzlojk,wd motion obeys the following position versus time equatioh,yu0jo7 .iw lzk81.blu duh;n:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simpa615*ecct4m-;en z :y; spkwhu,- gjci crx9hle harmonic motion according to the equatio;te *:9-,sc6w jhxzyc 1he ckna;4p5-umc g rin $y = 0.50 \; \sin (18\pi \times t)$ 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 onh7yn6vo* q cfe7 p4l+f 20.0 N/m oscillates on a horizontal, frictionless track. At t= 0, the mass is released frnnoc4 7ep*6lqv7 +yh fom 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 fr f c2r1 (:,gmqm-;rscrv2ljlkequency and period or,kq2c;f1m jcrv(sll - g :rm2n Earth?

  A 3.00-kg pendulum is 28.84 m loh9isl. yw35xk ghja3d 2tti:6ng. What is its period on Earth?

  A pendulum has a periosirwlmd7ro-yz3eb4z4d75en rz/s 0 , d of 2.0 s on Earth. What is its length?

  The pendulum of a grandfather clock is 1.0 m long. What is itshe i qr0t,c5y+oh1nv 8 period on the Earthy+it5hhv,n8oe cq r 01?

  The pendulum of a grandfather clock is 1.0 m long. What is its period onf* 2pc)*cavru the Moon where the acceleration due to gracc r)*v*a2fp uvity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kgvwjn )o;g7 zf( 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 frequency7vfz)j (og;wn 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 in+5b60rs6 cwfti qmrq5itial angular displacement of 8.0e. It osc65rbrqmwc605 sti fq+illates 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. Tz7jrftmne b 7,v,b*1i+sq 4nv he frequency of the wave is 120 Hz. What is the atr*fzmq7j n7 vi+e4b sbn ,,1vmplitude?

  Figure 11-2 is a "snapshot" of a wave at a18t5snlj: +h*olw yav given time. The frequency of the wave is 120 an+5ltho1* :8ywlj sv Hz. What is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequurvtyk.4f 5sw :w bw gl9x;u5+ency of the wave is 120 Hz. What is the wave speksfg 4:5w+9.u5 t wu bwyx;rvled?

  What is the frequency of ar+nipk1c h/1 nnjn*d+ bm8w,g wave which has a period of 6.00 ms?

  What is the period of a wave with a frequenc6go 2)cnc7b6 gqoein4y of 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz and a waveleng whb2s i 3i( . vnne,yi7k.ky8pur-k3dth of 3.ki. 2hydvu(sn7r ik,i3 b yk8-.en3 wp0 m?

  What is the velocity of a wave thasv 7tpg4rx2la+ 3n..+1y-ncu ungwm ot has a wavelength of 3.0 m and a frequency of 12 r 1+g.u-2x +muns cvl4gyn pona. 73twHz?

  What is the frequency of a 2*,hla zd x)we6k;f(aq.5 m wave traveling at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is up3 4q+nq,g qp r2 (wighah)ku;nl2 oh9nder a tension of 1350 N. What is h;2uoh)g2q,an ql(wp3q4 9+h r n ikgpthe wave speed?

  A string of linear density 6.0 g/m is under a tension of 180 N. What is the vyzfo. q198d oghxggax80i (c/elocx hq(. 0 i8a8g9oogzdx1/fy gcity of propagation of transverse waves along the string?

A wave whose wavelength is 0.500 m is traveling down a 500 m long w3cu2ovnz rd +.jr*4u6ipsyg 9ire whose total pdzusr gn3692yc4oju vri+.* 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 2 gtjiu9p n07t3ul;s pof a transverse wave on a 2.0-m long string fixed at both ends is 200 m/s. Which one of the follou9;uij pl gs 3t207nptwing is not a resonant frequency of this string?

  If a guitar string has a fundamental frequency of 500 Hz, wi 54q 2odqkb 7ujkk7v*hich one of the following frequencies can set the string in2i dk vk o77qju5k*bq4to resonant vibration?

  A stretched string is observed to have four equal segments in a sta3q67xosa km 6dnding wave driven at a frequency of 480 Hz. What driving frequency will set up a standing wave with five ex adq7 3koms66qual segments?

  A string, fixed at botk/m;ajk (( 7sodt0ad5tc:pd sh ends, vibrates at a frequency of 12 Hz with a standing transverse wa p/ctd( dkmskas:t07(ad;jo5 ve pattern containing 3 loops. What frequency is needed if the standing wave pattern is to contain 4 loops?

  A string of linear density 1.5 g/m 4v wqn/efpuy ad:/ z7b5he-: his under a tension of 20 N. What should its lu::7ezhf/e wyph-dq5 n4/ vabength be if its fundamental resonance frequency is 220 Hz?

  Find the first three harm6 n( f)vvv/6dkp2brpmonics of a string of linear mass density 2.00 g/m and length 0.600 mnb( pr6pd6fvv2 )/mkv when it is subjected to tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. When the string vibrates at a f hyw1 ng;w rek2*;9xl,mekq6crequency of 85 Hz, a standing wave with five loops igq*;ker2e 6 9m, wc xlyn1;khws 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.