The time for one cycle of a periodic process is calle3 z9hm/fg6n ted the

  For a periodic process, the number of cycles per unit time is crh bil: zj0* w(m49xl n pjd3y*o+mz7dalled the

  For vibrational motion, the maximum displacement ) .pbj,wfcue4gqt /k)ki*y u)from the equilibrium point is called t)c )ku*yt, /.pbqki4fje) wughe

  A mass on a spring undergoes SHM. Whi3 4pq4x,av leen the mass is at its maximum displacement fv3 ex,q4i 4alprom equilibrium, its instantaneous velocity

  A mass on a spring undergoes e21 9h seugo,cSHM. When the mass passes through the equilibrium position2 9ce,eh1gsu o, its instantaneous velocity

  A mass on a spring undergoes SHM. When the w yijb91)g1 jgmass is at maximum displacement from equilibrium, itsgy1g9jjw1ib ) instantaneous acceleration

  A mass is attached to a vertical spring and bobs up and down between+ybst/o1dg -bv1yw fj32yr,p points A and B. Where is the mass located when its kine2-tfr b+ vd,31 wj/gypb1o ysytic energy is a minimum?

  A mass is attached to a verk*ypa illw1 -4tical spring and bobs up and down between points A and B. Where is thl *yp-4kial 1we mass located when its kinetic energy is a maximum?

  A mass is attached to a vertical spring a xc.0q2,mac htnd bobs up and down between points A and B. Wherec2,cm0a. xhq t is the mass located when its potential energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down be; 0a;te p6 +a93voou-s4f xi7pyb bdprtween points A and pbpvr06ib 74yf-op; +9txesadoua; 3B. Where is the mass located when its potential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-axrzz-p2 ;2v0l ,-tnm x1pvtq u.ia*nlnd-spring system produces what effect on the system's mechanical energyrti12;p.tvmln0xn2a-vx uqzl,z-* p?

  Doubling only the mass of a vibrating mass-and-spring system prodd1ptzhhbv6-6ns: gvd 6 g..jruces what effect on the system's medz6.t6 pd:6n vg.bs rhj1g-hvchanical energy?

  Doubling only the spring constant of a vibrating mass-and-spring syste iz u kc.i2k0mp38bnc a6d+;+glq; pssm produces what effect on the system's mechanicasp kd+ibzcn3m lia6;c8p+g 0;s. k2qul energy?

  A mass oscillates on the end of a spring,hfu59- u e:hmo )af)ajro,mm - both on Earth and on the Moon. Where is the period the greateso)u- mo-9ff u 5me :)mh,aahjrt?

  Increasing the spring constant k of a mass-and-spri;jx w9 yc.h+ohng system causes what kind of change in the resonant frequency of the system? (Assume; jy+wo .cxh9h no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system caus5,11rassgag5we; rxh5 cmx3ses what kind of change in the resonant frequency of the system? (Assume no change in the sy1ws hr51ms,exgasa r55; gxc3 stem's spring constant k.)

  Increasing the amplitude of a mass-and-spring sy22xa:y e)sk/+sl*tzl rx ra+ ostem causes what kind of change in the resonx/k:asrs el2rt*)l2a +x o+ zyant 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 stringz. 5 9zpo/qoztglf .u0 of length L. For this system, when und95zfg/zuo qz .o0t .plergoing small oscillations

  When the mass of a simple pendulum is tripled, the t4z8swy ;6 h:y:b easesime required for one complete vibratbs:as :eyh8 6w ysz4;eion

  Both pendulum A and B are 3 ,;)c5fy)un1 kpml rt7p(osrn .0 m long. The period of A is T. Pendulum A is twice as heavy as fu(p1kr;,s c)tn)7r5ly n pmopendulum B. What is the period of B?

  When the length of a simple pendulumuptot*j44gg eb-/ h :+oss:ue is tripled, the time for one complete vibration increasej+/ -gp*s :ou s4teo4ue h:gtbs by a factor of

  What happens to a simple pendulum's frequency if both iy/hm k46n4lou ts length and mass are incrm4lyu6nh4 / koeased?

  Simple pendulum A swings backpe( w .5rid-.pls;yjlg 69 uzw and forth at twice the frequency of simple pendulum B. Which statement is correctjl.p6si-w zyg( ud5;w9rpe l.?

  If you take a given pendulum to the Moon, where the ):3h3ncklo)w/z0y d hz:osgh acceleration of gravity is less than on Earth, the resonant frequency of the pendho :)l 3d sonhzgw)3/zhy:c k0ulum will

  Curve A in Fig. 11-1 rep g1zxovddp)(jiu l:8(eb bt/ 7resents

  Curve B in Fig. 11-1 repres4ju ;v -jik8ycents

  Curve C in Fig. 11-1 / yhfs1g.lui ny2.p12nj*8zrq t .edq represents

  For a forced vibration, the ibkre9u ki3mj1 3 k6p/amplitude of vibration is found to depend on the

  In a wave, the maximum displacement of points of the wavee,di y5ly4eth n 2*ki, from equilibrium is ca*,lkny45the , dei yi2lled the wave's

  The distance between successive crests on *.pyjz *;bglj6r+2qc1rg fu ol pp w26ah4-uda wave is called the wave's

  The number of crests of a wave passing a point per unit time is callenr:aa+:qi mix 4q:n- md the wave'aa:r4xq -nn i:miq:m+s

  For a wave, the frequency times the wavelength i7ng7ed -g/a 87t m3aqrodvg5 ws the wave's

  The frequency of a wave increases. What happens to thxejw s8 93jqx,e distance between successive crests if the speed re3ews8 9jj q,xxmains constant?

  A wave moves on a string with wavelength l1eb24lu5f *rxtd a k7d and frequency f. A second wave on the same string has wavelength 2l and travels with the same velocity. What is th7e4r kd t5fu2d a*1xble frequency of the second wave?

  Consider a traveling wave on a string of length L, mass M, av2-qs; xj ra6-hcx,y dnd tension T. A standing wave is set up. Which of the folld2qa-x -vhsr,6jyc;x owing is true?

  A string of mass m and length L is under tension T. The sp77 e mkiqv28kkeed 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 to 2m, kikke7 q2m8 7vwith no change in length?

  A string of mass m and length L is under tension T. The speed of a wave in tr lsjl,tvmj u,2l6c6/he string is v. What will be the speed of a wave in the string if the length is increased to 2Ljc6trsjlvl6 lu,/,m2 , with no change in mass?

  A string of mass m and length L is under tension T. The speed of a wave mmmkziptw6dw mw3(2)6)g s v4in the string is v. What will be the speed of a 6) m gz)mi(p kv6tdwmws42m3 wwave in the string if the tension is increased to 2T?

  In seismology, the S wave is a transverse wave. As an)qoncgi25j :p S wave travels through the Earth, the relative motion between the S wave and the ) cpijg 52:qonparticles is

  In seismology, the P wave is a longitudinal wave. As a P +a9hxj: ;ltd/84xtsqq:guan4j q j8 rwave travels through the Earth, the relative motion between the P wave and thul8xsj8j:/a:t;n xq9 tgrd4 qjhq+a 4e particles is

  The intensity of a wat z02+kfvgtn7 rmws 2*xs er7.ve is

  A wave pulse traveling to the right along a thinmvt:5z,m l l7ec*c (ot cord reaches a discontinuity wherm*lc7,(z ve :m cltto5e the rope becomes thicker and heavier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pa8f: cyz10e 15 xit0zfqnt4bzl p( .jjmss each other on a string, one is traveling toward the right and the othel0: tjtxcb4ifnjq58p0 z1e. z zmy1f(r toward the left. At the point that they occupy the same region of space at the same time

  Two wave pulses pass each other on a string. The one traveling towbf*p.u jtkb 7ons3j 5*ard the right has a positive j. *j s5but7 *ofp3nkbamplitude, 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 at both ends, occurs9negj/sjkd* uyt)(5 r when

  If one doubles the tension in a violin gs1 fe(l6csl.string, the fundamental frequency of that string will increase by 6fg .( 1sleslca factor of

  What is the spring constant of a springwa+ wbsqqsuqyk1m7 9kzo3, ;8 that stretches 2.00 cm when a mass of 0.600 8q;woqqay+b k7wsu km z9,s31 kg is suspended from it?

  A mass is attached to a spring of spring 4t6 n+; um9a20xpim yq/pfkf0v9 mdrz constant 60 N/m along a horizontal, frictionler4ftu9d iqpx 60m;y2a9 k+0znv mpmf/ss 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 oscillating. What is the amplitude?

  A mass is attached to a spring of spring5 2ezllr c5ikh)5ei 3t constant 60 N/m along a horizontal, frictionless surface. The spring is initially stretched by a force of 5kc25lh li) 35t iz5ree.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 sp 1e hyfmec 4s7;5fpieky:;6ucring of spring constant 60 N/m along a horizontal, frictionless surface. The spring is: m7fks c1yp 5 ci6hyee;4eu;f 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 oscillating. What is the frequency of oscillation?

  A mass on a spring undergoes SHM. It goes through 10 complete oscio 8u:w ,lz+ymullations in 5.0 s. What is the period?u8u+y,m zlo :w

  A mass vibrates back and forth from the free end 0je vi k;xf 6,q ufit5m5eezg6)c0boe7o:4cvof an ideal spring of spring coz6 ekc qtge 4)6o,fc:vbeiio7f vmxe0;05uj 5nstant 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 5wlf. d+6h h6ac 0u:iw-ogvnzto a spring of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic mot5f u +ao:hwvlczig0h6n.-d 6wion 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 energy is 8.0 J at -m30s :d-)blkbyqkcsthis time. The mass is cut in half, and the system is again set in motion with amplitude 4.0 cm. What is the enerc q3lb:s dymbs-k) 0k-gy of the system now?

  A 0.50-kg mass is attached to a spring of spring consta:b ka/+1 tofdaq s-5ftnt 20 N/m along a horizontal, frictionless surface. The object oscillates in k5qfotfab +/1t sd:a-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 spkn 11mym2z7ff px(pm/zuyt:,ring constant 20 N/m along a horizontal, frictionless surface. The object oscilm7x y2(1yzpf1 /kp fumn, :mztlates 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 end of a horizontal spring of spring con9:pso s,8qt s*(q/ic ;gn vs c.ehvf+mstant 50 N/m and set into simple harmonic motion with an amplitude of qohsm 8i cp ;c/ st9s.(,:qsngvf* e+v0.10 m. What is the total mechanical energy of this system?

  A 2.0-kg mass is attached to the end of a horizontal spring of spring constant 5a: ckj.i0qs m20 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the total mecc2a qi0.ksj:m hanical energy of this system?

  A mass vibrates back and fonwyuz x x2v5,p55:s uirth from the 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 vibrat p inx2wsy5xz 5,:uu5ving mass?

  The mass of a mass-and-spring system is displaced 10 cm.*4zp7 n h ra;m.cwzlt from its equilibrium position and released. A frequency of 4.0 Hz is observed. What ah clw zpr4*m;.7zt .nfrequency would be observed if the mass had been displaced only 5.0 cm and then released?

  A 4.0-kg object is at6a(ny l 3kdg x2s)y,oqtached to a spring of spring constant 10 N/m. The object is displaced bl(s3,)2ygqo dnx 6kyay
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. The object if0r* 4omdi; n-hd:i iis m iiiid0;*r-4f n: ohddisplaced 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/(skr rx*wf gi1o-1w.c m, displaced slightly from its equilibrium position, and released. W(-sgwrwko 1 *i.1fc rxhat is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequency of 1.27 H7w2+d aa,3 pxdwufm9yx.i 1 koz when displaced a distance of 2.0 cm from equilibrium and released. What is the xw2ou3akdxi+7,w.d py9 ma 1fmaximum velocity attained by the mass?

  Two masses, A and B, are attachem r2 qjl.:4ime:wmxz 8cj3y e11ipr k4d 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 Hi13 ze2jr4pqe4m1cijwr m x8kly. m ::z. How does the maximum speed of A compare to the maximum speed of B?

  A 0.30-kg mass is suspended on a spring. Ilv);jdh i59 ewxfk lmyb id1z9*:hn-0 n equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pullhyb1zlve 5nd0:w;* ji9lm)hxf- d9 ik ed 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 equuih;:7x 2 *ir,tpt frh4a3owa ilibrium the mass stretches the s ;3wf*a horr4i,7 htitupx2a:pring 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. In equilibrium the mass stretch3p jxo ;f4gp:98mvdxfa9q5 vk es 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 equation a3jx;f9 d8 v k4o p:gxvq9mf5pof motion.

  An object in simple harmonic motion obe /jlerkj/-9 tuys the following position versus time equati-/ejlu9/t jr kon:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion ohhvudsvey vy w0g) *//j72:wz fcxw5.beys the following position versus time equationygw *sf/ ej wz u /5wc7h0vhvxd.v2):y:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the follo27 fz 3pa.-toa+nvimfa 4 i(xqwing position versus time equatio tqf+om.4vi3f pxa2z7n i(-a an:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executespafml( 4)wgofguf, ,fv5u :+d simple harmonic motion accordi:wpfmagd f)fogu4 f ,5v,u+ (lng 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 consta81c 8izvqvp+t8y, zan nt 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 sprz8zv ya1n q vci+p,88ting 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 i dtzhb ,,q(/ gce:4vwy(ufv-on 8.0 s. (a) What are its frequency and period onvzf ,u(,bc4y/g t (:eohqw -dv Earth?

  A 3.00-kg pendulum is 28.84 m long. What i /w yr,lj1w9zlceeb( 7s its period on Earth?

  A pendulum has a period of 2.0 s on Earth. What isj4i dw/ rej 4em/4b(1x zqhp+rdm. oc0 its length?

  The pendulum of a grandfather clock is 1.0 m long. What is its perio-g+,h )6l+laoz mo zged on the Ear,z) z+oglae g+m 6h-olth?

  The pendulum of a grandfather clock is 1.0 m long. What is its b8b , 6 4ua j5ozoloa).tnmxm,period on the Mo4.a)xal5uo,oj6b mz m 8,o tnbon where the acceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attached to a massless rmugh7e ;-)8sjh j u 7x2+sj1cygeqf9 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 attached to thsc-jy ehfu hgr8 9sjem+ 1j ;2)g7x7que string instead?

A simple pendulum consisting of a 20-g mass has initial angular displacement of ds+ hm8eaupjv2m: 9aa2y (2ub 8.0e. Iu8m9dp2ahy+eambas2 (: vj u2t 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 "snapshom +/e;eydjnoba4r1oy uq ( 4)q1purh 2t" of a wave at a given time. The frequency of the wave is 120 Hz. What is t4ydy hbuno j;2u 1(eo/1meq+a)p rr4 qhe amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given time. The freq,1 e,9lwhck:yu-,lt4exov tf uency of the wave is 120 Hz. What is the waveleng9 twh,1kxl-o,e tuc:yvf e4 ,lth?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency e;w. scj6n7xpuyiaj+ 7r0)x uof the wave is 120 Hz. What is the wave speed?pj eaxs+r .w7y;nu i)c07jxu6

  What is the frequency of a wave which has a perifqm6x, - flo9kod of 6.00 ms?

  What is the period of a wave witr)f qevv*.k n(h a frequency of 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz and a okru a/n037b rn yb1x;wavelength of 3.0 nyk3 0;nxubr b1/7aorm?

  What is the velocity of a wave that has a wavelength of 3.0 m htn-:j l:k+ :iymxml,n9 ijq, and a frequency of 12 h-nqi jn:xk lt+:m9, ym i,j:lHz?

  What is the frequency of af,sb/m0w1 rek 2.5 m wave traveling at 1400 m/s?

  A piano string of linear o.hcb w p5e9p4/yj-oomass density 0.0050 kg/m is under a tension of 1350 N. What is thbeop hc9 opy 4o.j-/5we wave speed?

  A string of linear density 6.0 g/m is under :b))p)ibgwuu :, okmia tension of 180 N. What is the velocity of propagation of transverse waves :) ,)ibmuwkb) piog:u along the string?

A wave whose wavelength is 0.500 m is traveling down a 1a79x b 9qmglsx3ez oh(s;kd 1500 m long wire whose total 91gk mb3z 9hld7 s(as1xqe xo;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 a5a p wa 1h/ytvktc-30e transverse wave on a 2.0-m long string fixed at both ends is 200 m/s. Which one of the followk-t0 p3ay 1ta/v ceh5wing is not a resonant frequency of this string?

  If a guitar string has a fundamental frequency of 500 Hz, which one of the foll)(wp 8yty5xblowing frequencies can set the string into resonant vibratiox)w y8pyb5l (tn?

  A stretched string is observed t)u,tp gc6 2t y,omzx (+ybh3fyo 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 equa) ymt3(xz f,2 guyobph +cy6t,l segments?

  A string, fixed at both ends, vih j zjc,;ymkze4( (z,nbrates at a frequency of 12 Hz with a standing transverse waz( n(h,;mce4ky jjz,zve 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 is under ;mh5g(8mi 5akp y dk5o,mnnq6a tension of 20 N. What should its length be if its fundamental resonance frequency is 2;n8 pik5 6m5,gk5m aod(y hqnm20 Hz?

  Find the first three harmonics wl3) nh5d; 2l0do6oqjnt 9sdnof a string of linear mass density 2.00 g/m and length 0.600 m when it is subje)q9nn; l3dntwl0o 6s5d2 h jdocted to tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. When the stringp.yot m .;vx:o5.eihq*;t,xa*b ofpj vibrates at a frequency of 85 Hz, emo. th;tyxb,p*:v5*j .x;. oq oifp aa 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.