The time for one cycle oirw+b-zn ophy8wk + 99un pd nkh96k44f a periodic process is called the

  For a periodic process, the number of cycles per unit time is called0tt.r zi1 innt/hy+y9 the

  For vibrational motion, the maximu* 8k4ucd mcev6ha/ .vpm displacement from the equilibrium point is called thv/c*ev hdmu6. 4kp a8ce

  A mass on a spring undergoes SHM. When the mass is at its maximum displacement,/hro7f0 zd gy from equilibrium/fg7do yr, z0h, its instantaneous velocity

  A mass on a spring undergoes SHM. When tuo r/ztup/*v3/y 1 vswhe mass passes through the equilibrium position, its instantaneous velocityp o3zu/u1v rw/ysv*t/

  A mass on a spring undergoes SHM. g *ivs;p -qej j,8;bir When the mass is at maximum displacement from equilibrium,i-8 reibjgps j; vq;,* its instantaneous acceleration

  A mass is attached to a vertical spring and bobs up and down between point0ff nybyz+ /, c)ert4ps A and B. Where is the masrt ycyb) +f/fe4pzn,0s located when its kinetic energy is a minimum?

  A mass is attached to a ve)ljjuu;c 8xx4f/cg8drtical spring and bobs up and down between points A and/4jcxl;8uj8)fu cgx d B. Where is the mass located when its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs uran;;ufreh- a2 w), ntp and down between points A and B. Where is the mass located when its potential enern w;r f,;e huta2a)rn-gy is a minimum?

  A mass is attached to a vertical spring and bobs up and down betweenbw ax310wzrp:6 dmbe38rh:b c*vap-r points A and B. Where is the mass located when its potential energy ivrpr3bh :bw z8e rcxa6w-m*:apd031bs a maximum?

  Doubling only the amplitude of a vibrating mass-anj w3 /r.lklkj8c7 1ip cwu6u7rhc5 lm)d-spring system produces what effect on the system's mechanical energyll7)u6ck crc5/.ki3 wwljh 81 r7j pmu?

  Doubling only the mass of a vibrating mass-and-spring system produces what eff1i-bq;w2e.oyr jkl.7( /sa ;zpkvgh zect on the sys/.-sgh raw lvjz bq;7ep.okiy(z2;1k tem's mechanical energy?

  Doubling only the spring constal lj.0c cy2svq1sbef )c,(f ,dnt of a vibrating mass-and-spring system produces what effect on the system's mechanical fyc)(cdq0l.ve1cl ,, jsb2sf energy?

  A mass oscillates on the end of a spring, both on Earth and on the M+p2v mq8.xmby oon. Where is the perio8+m v b.yqmx2pd the greatest?

  Increasing the spring constant k of a mass-and-spring system causes whaickf32uc ;l y6t kind of change in the resonant frequency of the system? (Assume no change in thklui yc;f3 6c2e system's mass m.)

  Increasing the mass M ofh83mxg.ru g,to7 6m0dxn1*x su -hxxz a mass-and-spring system causes what kind of change in the resonxxuhh6rx d om, g8tn3u07-gmx1x.* szant frequency of the system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-sprin dmy7t3g * y/z;idg9deg system causes what kind of change in the res*/zgt9 3 gemdiy;yd7 donant frequency 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 5 c00c uwyf7y5 iq),msm ltf0bstring of length L. For this system, whe05tc 7 q biy 0)myl,u5smcf0wfn undergoing small oscillations

  When the mass of a simple pendulum is tripl a:.gug8jva,zl- .a kbed, the time required for one complete vibratikzbu lgvj aa-,g.8. :aon

  Both pendulum A and B are 3.0 m long. The period of A is T. Pendulum A is twice r;hnz., zm;azas heavy as pendulum B. What is the period oh m. znza;r;z,f B?

  When the length of a simple pendulum is trc-6u e( of f89le9rl7m hrv6paghqpo:lm/7 (oipled, the time for one complete vibration increases by a factor 6 muo98 7 phef 9lhe7q(r:rgp-/amlclfov6o( of

  What happens to a simple pendulum's frequenc*.b zmn urs6k xk7t4d(y if both its length and mass are increasedstxkd* krnb6um4.( 7z?

  Simple pendulum A swilwqt t*o/u./e ngs back and forth at twice the frequency of simple pendulum q ttwl.*o//ueB. Which statement is correct?

  If you take a given pecob3ky 4c.(y d gogck44xz- r/ndulum to the Moon, where the acceleration of gravity is less than on Earth, the resonant frequency of the pendulum c4oc - db44/g(ygrk.o3cx yk zwill

  Curve A in Fig. 11-1 y47qmo3x sp s,represents

  Curve B in Fig. 11-1 representn 5fny*9h-oz +vcbgvc i58 t1cb+: zgms

  Curve C in Fig. 11-1 represenmq0x s850iwea ts

  For a forced vibratiop1ign0 -82rv o qf*rtin, the amplitude of vibration is found to depend on the

  In a wave, the maximum displacement of pointsvcte00 rom,g8 nu)f0f of the wave from equilibrium is called the wave0vf0g n u,mt)8f 0erco's

  The distance between successive crests on a wavb4lodtwcp20nv6 n l6/x :xe)m1jag9we is called the wave's

  The number of crests of a wave passing a point per unit timem7mrmv 94xs w+i/wk .r is called the wave'skm mvi mrw7x4r+./ws9

  For a wave, the frequency times the wavelenbm5hr 7h7 edf mbo:v3:gth is the wave's

  The frequency of a wave increas s8uxv mf)ar(6es. What happens to the distance between successive c(s6f vx8aum r)rests if the speed remains constant?

  A wave moves on a string with wavm j3.)w(q vqkbelength l and frequency f. A second wave on the same st). 3mj(vkq bqwring has wavelength 2l and travels 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. A jwzzs5jq: 42 cstanding wave is set up. Which of the following is true?wqj jz45szc 2:

  A string of mass m and length L is under tensia05 cgpobkg vg6n7 .4von T. The speed of a wave in the string is v. What will be the speed of a wave in the str og cbv 0va5gp6n7g.4king if the mass of the string is increased to 2m, with no change in length?

  A string of mass m and le y+0j8xqni(mog f k,w(ngth 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 length is increa(y+mk,o w0xgif qnj(8 sed to 2L, with no change in mass?

  A string of mass m anq ypb7m /y1:jad 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 tension is increased to /jm71b: yay pq2T?

  In seismology, the S wave is a t xaql-4cba7 1uws:tx .ransverse wave. As an S wave travels through the Earth, the relative motion between the S wave and the partic7l bx.- xu stcw4a1:qales is

  In seismology, the P wave is a longitudinal wave. As a P wave travels th5ho bhi a;yb57pf+8dhrough the Earth, the relative motion between the P wave and theodh7hhypb855 a+bf ;i particles is

  The intensity of a wb yl0n* n0z4xvj r(8bn0cjvk7ave is

  A wave pulse traveling to the right alon :+hl-egq +h0q z3fszjcgx8sm 6( gy*sg a thin cord reaches a discontinuity where the ro*g-0esm6 xl+shg f+jqcgs q zh83y(z :pe becomes thicker and heavier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitfnn z1zo,k+c1ms1 e. cudes pass each other on a string, one is traveling toward the right and the other ton1,oe n+m.zks11c fz cward the left. At the point that they occupy the same region of space at the same time

  Two wave pulses pass each other 1 ,tu.p kzpk3con a string. The one traveling toward the right has a positive amplitude, while the one trav1k kp,utc3z p.eling 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 syste ky 5oyp*3nyd3m, such as a string fixed at both ends, occurs when

  If one doubles the tension in g9)g0mix c r iec,v+,za violin string, the fundamental frequency of that string will increase by a fact,+,9ggrx0 ci ecz)m ivor of

  What is the spring constant of a spring that stretches 2.00 cm w t; sp3agj km yok6h:t,cl;6k/hen a mass of 0.600 kg is suspended :khk; ;aj6t/sm6yp,lk3t og cfrom it?

  A mass is attached to a spring of spring constant 60 N/m along a horizonaa:+ h2r7g p; .bhjezktal, frictionless surface. The spring is initially stretched by a force of 5.0 N on the mass ah gk7ajzarpe+;.h b2: nd 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 60 N/m along a horizont dyn:h55c01xhz5sls mal, frictionless surface. The spring is initiahy15cmnl shs : 0zdx55lly 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 60 N/m alon i,dyzrd ;jptxm/y)2 92nqy-ng 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 posm)z,pi 29;yxnt2nd-jd qr/y yition when it is oscillating. What is the frequency of oscillation?

  A mass on a spring und-gi* yza 7sj+n.ad(va ergoes SHM. It goes through 10 complete oscillations in 5.0 aj(*-a. yg+ adzisnv7 s. What is the period?

  A mass vibrates back zsm--o)x0omvh lm4m j, zl4/vv 70uaqd i13ztand forth 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 thish-0vq o zou714mmzi mla/s4-x,vjld3m v )0tz vibrating mass when it is 0.30 m from its equilibrium position?

  A 0.50-kg mass is attached to a spring of spring co/mz*mm.rc:s lnstant 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. What is the totamzm */mc .:srll energy of the system?

  A mass undergoes SHM with amplitude ;knsvg5;c (sv+h hpx --+caiqof 4 cm. The energy is 8.0 J at this time. The mass is cut in half, and the system is again set in m+k5pxc+; n-cq hv;sha( si-gvotion with amplitude 4.0 cm. What is the energy of the system now?

  A 0.50-kg mass is attached to a spring of spring constazk0ta7nvk+ yg xuv ,z g;u72j+nt 20 N/m along a horizontal, frictionlesskxn ;zu7+azugvg, t2 jk7vy0 + surface. 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 swqn* 9g69acmtb8;zfypring of 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. At what location are the kinew9 6q *z9g nat8;fcbmytic energy and the potential energy the same?

  A 2.0-kg mass is attached to the end of a horizontal spring of sprint 3t),fuzb dr(g constant 50 N/m and set into simple harmonic motion with an amplitude of (f3uzrbt),t d0.10 m. What is the total mechanical energy of this system?

  A 2.0-kg mass is attached to the end of a nn3w yrj8yu7p+za2 5hhorizontal spring of spring constant 50 z n3ja 7up+85nr 2yhwyN/m 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 ajk 1; xe*0nq /r-daik0d/ahpthe free end of an ideal spring of spring constant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kinetic energy ok1a hx jk/p*-/0q eiranadd 0;f this vibrating mass?

  The mass of a mass-and-spring system is displac3jgwcsl sf1/ya/ i.)xed 10 cm from its equilibrium position and released. A frequency of 4.0 Hz is observed. What frequency woul/ wyssxfligac j31/ ).d be observed if the mass had been displaced only 5.0 cm and then released?

  A 4.0-kg object is attay3ejl 1gp (h(jched to a spring of spring constant 10 N/m. The object is displaced bygpylj(3h ( ej1
5.1 cm from the equilibrium position and let go. What is the period of vibration?

  A 4.0-kg object is attachxh bcn-t.nufe, yzj y 39,kj,)ed to a spring of spring constant 10 N/m. The object i-)nk. cbu9xf3neh j,y,z j,yts 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 spring of spri0v9s jox 7euqt; 5xi/fng constant 18 N/m, displaced slightly from its equilibrium i0f;57j to9/ vexusqxposition, and released. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates ati5x4 ifx02uj t a frequency of 1.27 Hz when ditxx5 jif2u04isplaced a distance 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 l9oclm*x goif8y:zh(a,8 e8r6d :y e asprings. 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 frequenyi *col:ax ,e8r(al8yhed gf8 :9 mo6zcy 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. In equilibrium the ma aru402f) theg54 rkfxss stretches the spring 2.0 cm downward. The mass is then0f 4 g5xfaurke4r)2th 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 spr:kste r4.f;edmn*d) wing. 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 totnkt)m;4 *es f: de.wrdal energy of the system.

  A 0.30-kg mass is suspended on a spring.cuj4qs, 1m9 lor. ff 0dqt;/wn 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 reqnr 9d.uos c, l410qfm/fw;tjleased from rest. Write down its equation of motion.

  An object in simple ho0/sg t9v 9tfolgd 0s+armonic motion obeys the following position versus time equation:0vg+d0 oofst t/l 9sg9
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following position versus 0d;3otf. dyzl4a-wai/od em 3time equatieyadfo0w-3.l 4do iz;a3/mt d on:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmoni qttkp+q2jt n*h+/beik2i7 b6c motion obeys the following position versus time equ p22bt/iji7te+k6 +qhqtkb *nation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spriv)awk fafi,lsd:5u ya9+p 8o,ng executes simple harmonic motion according to the e)8 wa uya9: ,spfi,5kdl+vfaoquation $y = 0.50 \; \sin (18\pi \times t)$ where y is in meters and t is seconds. What is the period of vibration?

A 1.5-kg mass attached to spring with amrues : eolttnckz obm2dw( 164r3f* ;w/ll:- force constant of 20.0 N/m oscillates on a horizontal, u31o *-(s cem :z d:m4t/2w rwl6 t;bnlrofeklfrictionless track. At t= 0, the 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 swings in 8.0 sq pv86tc w(w+j. (a) What are its frequency and period on Earthv(8jq6wpw+t c?

  A 3.00-kg pendulum is 28dyf 5q(q 2qm)c.84 m long. What is its period on Earth?

  A pendulum has a period of 2.0 s on Earth. What is itsqh.6p1q 3 f/wx,atggj length?

  The pendulum of a grandfather clock is 1.0 m long. What is itsbqxr/l hgn,wb+ a2r/m 8aa 3yxuu5 :p7 period on the Earth?u mga:lxbn hua7w rpyqr3/2a+58 b,/x

  The pendulum of a grandfather clock is 1.0 m long. Wdzeyct4u7 8yt p; .-oiy15pi*pfl;xl hat is its period on the Moon wheref8pp 5 -ytpiycd; i.olu1t7x; y4zl*e the acceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a * yf)h 1e bz+hq4vi,kc0.25-kg spherical mass attached to a massless string. When the mass is displaced slightly from its equilibrium position and released, the pendulum swings back4 bie)+hh,ycq*zkvf1 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 attached to the string instead?

A simple pendulum consisting of a 20-g mass has inaud,)7f8 5-n3qw qe -nbi hgluitial angular displacement of 8.0e. 738a-n,f-5uwg e qibdu) lhnqIt 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 given time1r9pz xok; p6b. The frequency of the wave is 120 Hz. Whap1 o9;zx pk6rbt is the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency of the a 5 bblr,7wj/fwave is 120 Hz. What arbbf5,/l wj7is the wavelength?

  Figure 11-2 is a "snapshoj 1pn hfcnh:ld*t) tu-11gk s/t" of a wave at a given time. The frequency of the wave is 120 Hz. What is the wave usgn j)/:ht- t*l1kh nd1cpf1 speed?

  What is the frequency of a wave ,y n9 fia6hv5u .e:du 9gln)-* txksrhwhich has a period of 6.00 ms?

  What is the period of a w+ ++t gx0a-:z*;tjzajf pjb4qj y n2xcave with a frequency of 1500 Hz?

  What is the wave speed if a wave has a frequsejf +49rqf6i ency of 12 Hz and a wavelength of 3.0 mjqfi ef69+ 4sr?

  What is the velocity of a wave th8qv5: 7pq) tmjwq8 mdiat has a wavelength of 3.0 m and a frequency of 1) m dqqv7ij 8wp8:mtq52 Hz?

  What is the frequency o 3 oomy2khh++7rqku l6f a 2.5 m wave traveling at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is under a tensi1x 5tc.sg xma60wa;o pon of 1350 N. What is the 1twcpsg5x6ma;0a o. x wave speed?

  A string of linear density6qqcr rt 05yve.9 njx go0hb99 6.0 g/m is under a tension of 180 N. What is the velocity of propagation of transverse waves along the strin9g0cj9.or6hq 5ebq v t9nxr0yg?

A wave whose wavelength is 0.500 m is traveling down a 500 m long wire whose to/wbtps ;gyl;- 4 .u/i bjb)0vaodkhl*tal4oyl)k- a;itbb/lpvshwugd0 .j/b ;* 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 tra7zj4p6 )cytninsverse wave on a 2.0-m long string fixed at both ends is 200 m/s. Which one of the following izijy64ncp )7t s not a resonant frequency of this string?

  If a guitar string has a fundamentae3 *k ht piialz5nx+. be3s(o;ner(5x;uy .n al frequency of 500 Hz, which one of the following frequencies can set the string into resonant vibrarse *+ ;3ou5le 5za.nxiian(; hektx3yb(np.tion?

  A stretched string is observed to have four equal s9:ukgq d-(fg megments in a standing wave driven at a frequency of 480 Hz. What driving frequency will set up a standing wave with five equal f-ggu d9m:q(k segments?

  A string, fixed at both ends, vibrates at a frequency of 12 Hz with a standingua 3zzf qs-9v8o4.7id mzb7 vs transverse wave pattern containing 3 loops. What frequen qfsvozaz93 7v7 mzbsd8-ui. 4cy 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 shoj t /vv*goi xnodcm 269s41gi;uld its leng1/ni im4v ;9dxo 2cojvt sg*6gth be if its fundamental resonance frequency is 220 Hz?

  Find the first three harmonics of a string of linear mass ds olv-xsb)s60 ensity 2.00 g/m and length 0.600 m when it is subjected to tension of 50osssv x0 bl6)-.0 N.

A string of length 2.5 m is fixed at both ends. When the string vibrates at a /n ne54q.ldn j gs*y.dfreql/ ds. jnd5ne4 n*q.gyuency 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.