The time for one cycle of a periodic pwv2 (xukrfn2u7 ths8oqe1xxkd711) xrocess is called the

  For a periodic process, the number of cycles per unit time is called tcx3s05el53g.fv pwrbnw17 x*fw lah7he

  For vibrational motion, the maximum displacement from the equilibrodge4,oghha)8(s q q 4ium point is called aod ggoheq,q448 h()s the

  A mass on a spring undergoes SHM. When thyvzq nd4/oww :o87n5l fhzm4+-za , ate mass is at its maximum displacement from equilibrium,m4 vaw4y/l hn:z,8n-75wozza o dft q+ its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass passes througp0gs 2)6xrmp-mou-)chznbo8 h the equilibrium posizmo 80xgsm6)r ppch--b2un o)tion, its instantaneous velocity

  A mass on a spring undergoepym26)u,7 cex5 n gkexs SHM. When the mass is at maximum displacement from equilibrium, its ink7 ,u)c56mp eexx y2ngstantaneous acceleration

  A mass is attached to a vertical spring and bobs up and down between pppopf5uo7zc;,hx *, eoints A and B. Where is the mass located when its kinetic c e,,h7f;uppz*o x5openergy is a minimum?

  A mass is attached to a vertical spring andg0 sg 63b:xbox bobs up and down between points A and B. Where is the mass lo: b gxgs0bxo36cated when its kinetic energy is a maximum?

  A mass is attached to a vertiy6kr)kxke;4lqe g yzp-9/l e.cal spring and bobs up and down between points A and B. Where is 4x.)rllke kyzy; -9ep/q g6ke the mass located when its potential energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down betw0zx 83rbx(mskq3 y:h; hu1 ixreen points A and B. Where is the b8xi rum ;xrz(1hhyx:3s3q k0mass located when its potential energy is a maximum?

  Doubling only the amplitude of a vibrating massew l*y l.k4r*- ovq3nf-and-spring system produces what effect on the system's mechanical energr4.e3-nq*oykfw *lvl y?

  Doubling only the mass of a vibrating mass-and-spring system produces www*i+n zrq ).wl91bymhat effect on the systemqw1m*)r9l+.wb yz niw's mechanical energy?

  Doubling only the spring constant of a vibratits zdjgs8)2f c*i0z64 d b8rttng mass-and-spring system produces what effect on the system's mechanical energ6z48jt8tsr2f *gdic 0s dz)bty?

  A mass oscillates on the end of a spring, both on Earth and on the sff-ul4 23d1exkdv :c Moon. Where isd-2f 3xf4vk eds1ulc: the period the greatest?

  Increasing the spring constant k of a mass-and-spring system cauysu9retih) .ke1uo71ses what kind of change in the resonant frequency of the 1uy eu o.9kh7ts) re1isystem? (Assume no change in the system's mass m.)

  Increasing the mass M 3h ka e0hz4y/)pt3saevfk2(m of a mass-and-spring system causes what kind of change in the resonant frequency of the system? (Assume ka(p 0het3k as3yve4f/z hm)2no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system causes what kind o;mlv k+dy3l 2vf change in the resonant frequency of the system? (Asl3+k2;ld ym vvsume 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 tp ff12;h 0kpv5pkj8zy o a weightless string of length L. Fkpkz j2 5f10;8hfp vypor this system, when undergoing small oscillations

  When the mass of a simple pendulum is tripled, the timenhobh 4f 60wo2xukg,1t5s-:opbp1hq required for one complete 1tphnb 6h0xhb u f o,o4w1s:5po-2gqk vibration

  Both pendulum A and B are 3.0 m long. The period of A is ;d/ -b;a2 :wxlv py2ep-+)z otwzxsnxT. Pendulum A is twice as heavy as zwapw;-/xeb)+o:vs2 xyx-n2tp;d lz pendulum B. What is the period of B?

  When the length of a simple pendulum 83evg-c8jf ln/c2*r7f -vskr e bv5shis tripled, the time for one complete vibration increa2sf- e -kc7 s8v*vrhre/8j n5 c3gvlbfses by a factor of

  What happens to a simple pendulum's frequency if both its length and mass are m) ul;dxi )0dbrxz-/ qx ti8f(increa/d- 8;( x )tli qur)fxbx0mzdised?

  Simple pendulum A swings back and forth nnde g74 :m,vuat twice the frequency of simple pendulum B. Which statemgndu:,v7 4m neent is correct?

  If you take a given pendulum to the Moon, where thy0 juv pz3r, u nmn0(6yp2y3vhe acceleration of gravity is less than on Earth, the reso300vm u 2zrh npu6p(vyy3nyj,nant frequency of the pendulum will

  Curve A in Fig. 11-1 represeq;non.5- / +dj v5y nbuse2zptnts

  Curve B in Fig. 11-1 m-l1,rq/qn:u-q xq pk/y kp2grepresents

  Curve C in Fig. 11-1 representcst.5 oql7mk b;zyk(2(n ) tgqs

  For a forced vibration, the amplitude6ami 29z wy:q1 x:o.tphkjf5b of vibration is found to depend on the

  In a wave, the maximum displacement of points of the wave from equilibriu,/ z -3xjoaz/pt;i tapm is calledo3pat; i/t z/ap,zx- j the wave's

  The distance between successive crests on a wavel3r+q*uc6fgtt9 0 k qv is called the wave's

  The number of crests of a wave passing a point per unit time is called the waveh b+p psta06 a8so6pt /)m,yl3hnmt;i'sspal+h6tyot)tnb hp 3im0sm ,p;8 /a6

  For a wave, the frequency times the wavelength is the ib5cih eg:j60is 6wq - pb2zro/u) dh3wave's

  The frequency of a wave increases.( d,nn1x: syrw What happens to the distance between successive crests if the speed remains cw drnsxy(n1,:onstant?

  A wave moves on a string with wavelength l and frequency f. A secg(np00gf ( l 1hc8+ v1i7jrsjirnvg- iond wave on the same string has wavelength 2l and travels with the same ve1iip0vf( gns(g 1v7jn r gj 8h-0rlic+locity. What is the frequency of the second wave?

  Consider a traveling wave on a string of length L, mass M, and tension.soyk p9f)xdl-+8i 2 ,gu fylu T. A standing wave is set up. Which of the follo+ yd yuu-ls) .io9,2kl pgff8xwing is true?

  A string of mass m and length L ishm7kz m.).n fp 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 mass of the string is increased mpfzk.n h 7).mto 2m, with no change in length?

  A string of mass m and length L is under tension T. Tf1s(y4 tfcz ;hhe speed of a wave in the string is v. What will be the speed of a wave in the string if the length is increasedf4 y1h ct;fs(z to 2L, with no change in mass?

  A string of mass m and length L is under tension T. The spee6n)6oq5s az vud of a wave in the string is v. What will be the speed of a wave in the string if the tension is ) zaq6nsu65vo increased to 2T?

  In seismology, the S wave is a tranwiu2hf 5- xyr1pzn:qp .x(fo:sverse wave. As an S wave travels through the Earth, the relative motion between the quiyrzp:f.fx5- 1(xpw: nh2o S wave and the particles is

  In seismology, the P wave is a longitudinal wavy.vnn/dnnmj h/yfv 3ss53+ ,q e. As a P wave travels through the Earth, the relative +nn,5ssfnm3 q.n3 yv d/hy/vj motion between the P wave and the particles is

  The intensity of a wave i;ud6 pdxii pvu 6m70w+b ( geevl)ps*(s

  A wave pulse traveling to the right alonzi6uys 2- q1vlg a thin cord reaches a discontinuity where the rope becomes thicker and heavilizsuvy- 2q 61er. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equ0ley n-ud75k-er a* hwal positive amplitudes pass each other on a string, one is traveling toward the right and the other toward the lefkhyaed0 e -wu5-7 r*lnt. At the point that they occupy the same region of space at the same time

  Two wave pulses pass each other .* vcg6fa,4oog*auz+d ,bvx b1e.xww on a string. The one traveling toward the right has a positive amplitude, whil b,*+bax.x *fedu.v4g o6wa owc1 v,zge 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 ends, occurs whenrd9-w02 wkuco*+tfed

  If one doubles the tension in a violin string, t*y1 c/ m(axltzo hbm,3he fundamental frequency of that string will increase by a facto/c3 mhxb(*mot al1yz,r of

  What is the spring constant zhc/f grmr).3fv*7 ) fzk5bk sof a spring that stretches 2.00 cm when a mass of 0.600 k) b rfkch)gzff.5/ mk 3*7vszrg is suspended from it?

  A mass is attached to a spring of spring constant 60 N/m along a horizoir+(5bsu,jr5yh1qn qkf8 3 ebntal, 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 tb s f,n83biy(5u qhr1jk+eq5r o its equilibrium position when it is oscillating. What is the amplitude?

  A mass is attached to a spring of spring constant 60 N j7z5xr)1hwb c/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 osc 7x5 )1zhjrwcbillating. What is the period of oscillation?

  A mass is attached to a spring of spring coni *ybcg0s-xb *rvcho. t50r4b stant 60 N/m along a horizontal, frictionless surface. The spring is initially stretched by a force of 5.0 N on the mabv.i4 r r*coxhsy05 g-cb 0*btss 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 compef:- 3laeo+ mq6i4kg ylete oscillations in 5.0 gqakf4m y- l6eo+3ie:s. What is the period?

  A mass vibrates back and forth from the free endk79p) d9d d; (eubrotf of an ideal spring of spring constant 20 N/m with an amplitude oktdud ;(p9o) f9b e7rdf 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 att+v:qp1bx+l z zached to a spring of spring constant 20 N/m along a horizontal, frictionlezb +l+z1q:pvxss surface. The object oscillates 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 a3j1dok3,zm by mplitude of 4 cm. The energy is 8.0 J at this time. The mass is cut in half, and the system is again set in motion withm3 zjbk3doy1, amplitude 4.0 cm. What is the energy of the system now?

  A 0.50-kg mass is attached to ox;x) cv4bw b1.hnm bu+dg +s6a spring of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in x.6wb4c gh bsbn)mu;+ o1+vdx 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 spring constant 20 N/m a(d:*5q;upxg8*l tnh0.cls-e t tf vlr long a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has asr*vd0 etx;g5l u*(hl-8t c pqn:f .lt 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 conszs fx)j,i)jn)-xsc(omk ,r 9w3ud+u r tant 50 N/m and set into simple harmonrdcz(wmo9 rs-j,u)s)+ u),j x3ki xf nic motion with 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 horzmkju -k o)9v.izontal spring of spring constant 50 N/m and setj).-kou9 v zmk 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 thcjyg9 1va-,l me 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 of this vibrl-y ga1,mcv j9ating mass?

  The mass of a mass-and-spring system is displaced 10 cm fr/80 e, rzjyj rxn9h,gy sboc4f: q55xxom its equilibrium position and released. A frequency of 4.0 Hz is observed. What frequency would bqy/rx 59se0y,j : rx4ghz5 x,c8nfoj 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 10 N/m. Th0*o2c .fi3 jamzz0sfle object is displaced bya oicfm*l0 zjs20 z3.f
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 c11n;g zvul1(/ 8dna)ozhcx xspring constant 10 N/m. The object is displace;)ccza xh 8o(gxu1nv 1nd/lz1d 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/mx 2qidh3m9 ke0g.;zk a, displaced slightly from its equ03.hx d kq;azkg92em iilibrium position, and released. What is the frequency of its vibration?

  A mass is attached to a spring. It g4t hg- exz(s2uqe7(q oscillates at a frequency of 1.27 Hz when displaced a d(g7uq( 2qzt4 segeh-x istance 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 diffdp+cldp, vzd2;3,vly,tb. m j erent 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 of B?,,.mv 2z,yd d3clb ; ppd+jltv

  A 0.30-kg mass is suspended on a sprinp :o zxv g53p/k38cdxzg. 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 rele/v35zk 8 p cdogzxpx3:ased from rest. Calculate the period of oscillation.

  A 0.30-kg mass is suspended on arapokmja v+*4fb-.(6nv e8d y spring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulle8vb+ evya(d-fk.m4*6pa jno rd 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 suspes+6f+1 ,oesy 8 vegcqhnded on a spring. 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+,ghee1 68fys+ov c sq rest. Write down its equation of motion.

  An object in simple ;l 7;m6u3 irwbtm;jurharmonic motion obeys the following position versus time equationi37 6j;t rurbmm;; luw:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following position yx:r(asod r 9m*s6e5h6qp nj+versus time equation:s9en dx smpr6 (j56+y*aoh :rq
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeysiy,yyz3v(7.u fc oh f9 the following position versus time equation:oyh zfu.v3y 7c (,y9fi
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end i l(z:.al vypd:n8t d3 k2eb1zof a spring executes simple harmonic motion according to the p y3 .d18vk2tabe:z:ilnd (zlequation $y = 0.50 \; \sin (18\pi \times t)$ where y is in meters and t is seconds. What is the period of vibration?

A 1.5-kg mass attached notm989 jja)e0d gbih3q /ga otw6v)/to spring with a force constant 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 ) b/98hgij wo9n a6moej3q/ tgadv )0t10.00 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 01kp b gwtmcbn (8fz8.period on Earttm.g0 881bwbnz( pkcf h?

  A 3.00-kg pendulum is 281(s:6)ejnff ju2w8zj l ny-yz .84 m long. What is its period on Earth?

  A pendulum has a period of 2.0 s on Earth. What isjiezf+4-b/zc7p-: cqu q r np- its length?

  The pendulum of a grandfather cloca+ffto96r* f i:4gaiqk is 1.0 m long. What is its period on the Eartf49iqf ia+to fr*:g6ah?

  The pendulum of a grandfather clock is 1.0 m long. What is its period on the+/1fn 0 zuzprd Moon where the acceleration due to gravity is +1/0un d zpzrfonly $1.7 \; m/s^2$?

  A simple pendulum contt/qrazfv0ij 1 , xx9+sists of a 0.25-kg 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 1,+9qf/vxtrjtxza0i) had been attached to the string instead?

A simple pendulum consisting of a 20-g mazkr qc kl6s+1x c dr7-h7+vht5ss has initial angular displacement of 8.0e. It oscillates with a period of 3.00q -x7l+ +c7d1kv 5rchr6tskzh 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 j vr4z9i4dbo5g b4)rpof the wave isd4 4 5 vbr4)zjbripgo9 120 Hz. What is the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given time. bp /o.b lolq6rnhepf*690da -The frequency of the wave is 120 Hz. What is the wavelength?pdq fo 96n*-bhlo6l/rbp. a e0

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequencc8 y9/9 em 1b5mdvpdcay of the wave is 120 Hdpb/85yc ve1a9 9cmdmz. What is the wave speed?

  What is the frequency of a wal c20h2 w.egqig 67obcve which has a period of 6.00 ms?

  What is the period of a wave9. (bwnkge,ct with a frequency of 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hzl)fp7a nvqa96 and a wavelength of 3.0vl69q 7afn)pa m?

  What is the velocity of a wave that has a wavelengtuwcm4.m, i wl6e2ek 9vh of 3.0 m and a frequency of 12 Hz?,4cl2m vek . ueiw9mw6

  What is the frequency of a 2.5 m wave traveleh(tu*/4u fa rv67grfg y4:xzing at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is under apkwz j 4qed6;h kb93p7 tension of 1350 N. What is the wavbpk7 kj4 ; qpd39ehz6we speed?

  A string of linear density 6.0 g/m is under a ljv g0+c:81dx;bbrj ,h wj9d4n2qxk j tension of 180 N. What is the velocigx l 4:r89,0qxjjjwvbbhd12n k+ ;cd jty of propagation of transverse waves along the string?

A wave whose wavelength is 0.500 m,y/uf +8ngv2jb2q lrc is traveling down a 500 m long wire whose total + jy2b2r8q fn, /vcglumass 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 a 2.0-m long strii7 l6e0qdre0nryd n25jq.f +ung fixed at both eqriu+le e02nr6j. dy7 fqdn05 nds is 200 m/s. Which one of the following is not a resonant frequency of this string?

  If a guitar string has a fundamental freque0bzp + s: tbtks1sv89oncy of 500 Hz, which one of the following frequencies can set the string into resonant so0 +kzp9 :sb1v8 tbstvibration?

  A stretched string is observed to h 6uo (:99tn2kr rhvselc/gr r8 ly0,ieave four equal segments in a standing wave driven at a frequency of 480 Hz. What dri/ot92svg r6rce,9 n(l e:huklr8yr0 iving frequency will set up a standing wave with five equal segments?

  A string, fixed at both ends, vibrates at a frequ./ yhufi*6p nlency of 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency is needed if t/6fn.*uiylph he standing wave pattern is to contain 4 loops?

  A string of linear density 1.5 g/m is under a tension of 20 N. Wx*z9 c c4f odxren1l80hat should its ozex8dr n4lc0*9c fx1length be if its fundamental resonance frequency is 220 Hz?

  Find the first three harmonics of a string of linear m v.k,jlr ,ho4m) -1qy(ptibbjass density 2.00 g/m and length 0.600 m when it is subjected to tension of 50.0pkmb,).til,rjb41q yoj-h (v N.

A string of length 2.5 m is fixed at both ends. Wh3h 6nx58pz 3,99s+kmz izg +g ljmpzvzen the string vibrates at a frequency of 85 Hz, a standing wave wm39 jpg9z 6+3iz8h ksm +gzxpz,v5lnzith 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.