The time for one cycle of a periodic process is cah*nzk(3 wz3wplled the

  For a periodic process, the number of cycles per unit g.j3hcgt.f8h time is called the

  For vibrational motion, the maximum dispeqt ..4 ytsu2lu6 ,osnlacement from the equilibrium point is c,ou6ulyt. .s4tsq n2 ealled the

  A mass on a spring undergoes SHM. When the masst2lm.*:td l tvnyh.u7 is at its maximum displacement fym t2.d lv:nthl7*tu .rom equilibrium, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass passes throu. lh ba4rgece, sa+v.jm(y7mwm1 0-kugh the equilibrium position, its instantab4,r m a.ymlcawgje v70u-.s1m+khe(neous velocity

  A mass on a spring undergoes SHM. When the massn8 cfg ;,lolv1jwh4t2 ucoz +8 is at maximum displacement from equilibrium, its instanta zjvo8w tlon c+2f1h g8,c;u4lneous acceleration

  A mass is attached to a vertical spring and bobs up and down behd:- uuyo4 t0ttween points A and B. Where is the mass located when its kinetic tu-d4 h u:toy0energy is a minimum?

  A mass is attached to a vertical spring an/tbg 3:8bcrmc g9b0q hd bobs up and down between points A and B. Whereg3/9 bctmb0rg :8qhcb is the mass located when its kinetic energy is a maximum?

  A mass is attached to a ver q08pywe ozp.4tical spring and bobs up and down between points A and B. Where is the mass located when its pot pe4 ywz8opq0.ential energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down between points3vwy* 2i/j0 mkevs:*sguneg(+ pes4s A and B. Where is the mass located when its potential e2s n/gmi3y: evus4se+egk v*sjp*w(0nergy is a maximum?

  Doubling only the amplitude of a vibrating mass-ailyakwvv2.p8 2(zm x3 nd-spring system produces what effect on the system's mechanicz (.3iw 8ky22lpxamvval energy?

  Doubling only the mass of a vibratin 8r/twq 4oiux3g mass-and-spring system produces what effect on the system's mechanical energy?8 43wx/ trqoiu

  Doubling only the spring constisnj5rz1rqn7o v)-v0omkg)-f;fk 5 fant of a vibrating mass-and-spring system produces what effect on the syste5v0s vnjozr5 -)f )r ff-7mkk o;1iqngm's mechanical energy?

  A mass oscillates on the end of a spring, both on Earth and on the w b fz+jbsw;*9Moon. Where is the;wbsw 9f+zb* j period the greatest?

  Increasing the spring constant k of a mass-and-spring system causes7 bz2j8+iev,n. q qsgv what kind of change in the resonant frequency of the system? (A+ez8bqqv gn 2i7v .,jsssume no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system causes what kz,* cwsn+e l3cv;gsh/ind of change in thegsl*vz; c+e,ncs/hw3 resonant frequency of the system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system causes what kind of chac .ud.t5l: ntlnge in the resonant frequency of the system? (Assume 5u.:.lntdct lno 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 ei7s:u.xzea b7 w.be t d-;9irstring of length L. For this system, when undergoing s i9.7taeb. eu:-x wrzed;i bs7mall oscillations

  When the mass of a simple pendulggt 9n(cay)-8tgv p-ucnh b axo06 z8-um is tripled, the time required for one complete vibration9gtg p-ub za-6g vhncn c8x(oa8y -t)0

  Both pendulum A and B are 3.0 m long. The period of Ah w2g6edo8t t gks)i qa 5ew5b6:ja,o( is T. Pendulum A is twice as heav tjh6o (25aww5)ggadsbte:q ,8k6 eoiy as pendulum B. What is the period of B?

  When the length of a simple pendulum is tripled, the time for one complete v* ebp9.5d br rb;q(/t6vhhwewibration increases by a fwqw h *9/t6 vrep.bb(br;e5 dhactor of

  What happens to a simple pendulum's frequency if both5n gxv): 9hkxp its length and mass are in:5 h)xnvpx g9kcreased?

  Simple pendulum A swings back and forth at twicezz;-i c, - zp/lo5y)mx5lxyuu the frequency of simple pendulum B. Wp ;/--lzz5 ,iy)xozmc y5xluuhich statement is correct?

  If you take a given pendulum to the Moon, where the 4+bsu;jv-4i)y a zbg cacceleration of gravity is less than on Earth, the resonant fri)au byg;44bv +scj-zequency of the pendulum will

  Curve A in Fig. 11-1 reprek5 h/wwpmg4)1z krksr3 g:v/s sents

  Curve B in Fig. 11-1 repre(jo o;th 8a6qch7i* kysents

  Curve C in Fig. 11-1 represen 46c:15qmnnzkz wj,c pts

  For a forced vibration, the amplitu.vs3qx 0 a/-h9n)ffw4qxt tyude of vibration is found to depend on the

  In a wave, the maximum displacement of points of the wave from equij;wx p)i/0xwt librium is called the wave'si0wtj/)x; x wp

  The distance between successive crd* kds)fh.ar*ests on a wave is called the wave's

  The number of crests of a wave passing a ps,qcv (hz b7v1oint per unit time is called the wave'scqv1 (shz,7bv

  For a wave, the frequency u s1*9-abi+acm3 ypqxtimes the wavelength is the wave's

  The frequency of a wave increases. What happens to the distance wdpu9 ti nej84.i u;8ubetween successive crests if the speed remains constd88;9 iiuu . 4ptjeunwant?

  A wave moves on a string with wavelength l and frequency f. A se,vi)eq/v 3ex:re me i.cond wave on the same string has wavelength 2l and travels with the same velocity. What is the frequency of the second wave er:e3i.eev,mx /q)vi?

  Consider a traveling wave on a string of lengt3k )eq/v*-pp(meoium h L, mass M, and tension T. A standing wave is ekm i3epm */p()qv- uoset up. Which of the following is true?

  A string of mass m and length L is under tension T. T;u,e6 k d)wtdecnso0 /he 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 etkd ,sw)c; o0ue6n/dstring is increased to 2m, with no change in length?

  A string of mass m and length L is under tension T. Thn.gymg .1p8, ukca *qle 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, wyc8k*1lg.num.p, qag ith no change in mass?

  A string of mass m and length L is under tensi7la 1cp, o.nqb .::l)hw1.kxhz mtguxon 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 2ghbl1c:7uhm.xzlp ,1 k.n w aq :ox)t.T?

  In seismology, the S wave is a transverse wave. As an S , ddixx e xrte7vz0c k8(ay3-:wave travels through the Earth, the relative motion between the S waix3 :c adey07x,d e(k8xvtrz-ve and the particles is

  In seismology, the P wave is a longitudinal wave. As a P wave tb:du e d4-z vgo*hd6o2ravels through the Earth, the relative motion between the P wave o uoh4d*zbgedv2d- :6and the particles is

  The intensity of a wav (36 1pes n)k*ytg8b9:tg z hjjeqi,qte is

  A wave pulse traveling tol b8.nfke jq+5 the right along a thin cord reaches a discontinuity where the rope beqf+8 n5 l.bjkecomes thicker and heavier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each other ons*hp/gg.c oe6 y8 d8ef a string, one is traveling toward the right and the other toh. csdfe8p6g8o ye*/ gward 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 traxqx( 6n-5;,9w d hryd(i dtkcjveling toward the right has 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 sayxq nid d95,6dcr(t-(wj;khx me region of space at the same time

  Resonance in a system, such as a stri,k7;yzxyk uv* 7uwy+gc3k.v/p jt2s nng fixed at both ends, occurs when

  If one doubles the tension in a violin string, the fundamental frequency of thmtb .p+ab0 7bf4si) awat string will increase by abmp ta .7 bsw4ai)0fb+ factor of

  What is the spring cw7lr /t) qzvqxl;r) y2onstant of a spring that stretches 2.00 cm when a mass of 0.600 kg is suspended from zwr yxtrl l );2/vq7)qit?

  A mass is attached to a spring of -ozf6 njv++iy+;vng espring constant 60 N/m along a horizontal, frictionless surf; +vnei+njzv -y g6o+face. 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 sprinexjikn 6w ed1 1va c6ci5i1:2 gss67img 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 equilib s n c7aeemivgw6d6 k5jiis1621i1x:c rium 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 horizontal;kdah5-b8 k qe, frictionless surfaca;k5debq8hk- e. 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 frequency of oscillation?

  A mass on a spring undergoes SHM. It gqj w 8wr--7qmbgv8j n0oes through 10 complete oscillations in 5.0 sw-wbm8j0g 8-qnq v7jr. What is the period?

  A mass vibrates back and forth from the free end of an ideal spring of sprinnq+m 52uhb/dj,v h si6g (ip6pg constant 20 N/m with an amplitude of 0.30 m. What is 5piq uh6vpnmdbsj6ghi+ / ,(2the kinetic energy of this vibrating mass when it is 0.30 m from its equilibrium position?

  A 0.50-kg mass is attacheg -orj0usjo5 -1 5br;squi+ 7cnext7ad to a spring of spring constant 20 N/m along a horizontal, frictionless surface. The-osjxt7jic+re 5gn7o u-q;bra0us 15 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 amplit0r 1kdq6o( tmlude 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 with amplitude 4.0 cm. What is the dkq6tl(0 om r1energy of the system now?

  A 0.50-kg mass is attached tr4qe(6 fg 0/er*y6y3q vmhhz to a spring of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of y egr4tqq * /vf6reh60 zmy(h31.5 m/s at the equilibrium position. What is the amplitude of vibration?

  A 0.50-kg mass is attached to a spring of ew f) dh .j4snl -npu46th19m 5m+hjrmspring 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 equ 4m6e+jdwm.9- tmh4 ns 5n)j1hlrf hupilibrium position. At what location are the kinetic energy and the potential energy the same?

  A 2.0-kg mass is attachedoaobw)9i jvgvl9 0 n55 to the end of a horizontal spring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What lowa5v o)g vi 99jn05bis the total mechanical energy of this system?

  A 2.0-kg mass is attached to the gdh x,:x:w+jl end of a horizontal spring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the total mechhxld + wg:x:j,anical energy of this system?

  A mass vibrates back and forth f mni(xvklcypl+t ,:: ,rom the free end of an ideal spring of spring constant 20.0 N/m with an amplitude of 0.250 m. What is the klp(v l+ t:mny,x:,ic maximum kinetic energy of this vibrating mass?

  The mass of a mass-anjae erg.y9pt g4ww(* v28md- aretm 24d-spring system is displaced 10 cm from its equilibrium position and released. A frequency of 4.0 Hz is observed. What frequency would be obser.9a eg m8t-jt *(verr y4g4amwpe22 wdved 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. The obj c*uh5 p-.diq1 pqibf1ect is displace-5 q11.uc b*ifqpdphid 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 mt2 9mmhm )bfrdb: k41 x2jtm;10 N/m. The object is disb mjtr) d;4:mb h 22ftmkmx91mplaced 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/m, displaced slus3w.: cquyoxaw49t k n1; 6hoightly from its eq u4sq9 .;kwut 1xw:onoya3hc6uilibrium position, and released. What is the frequency of its vibration?

  A mass is attached to a spring. Iqwr bd-de2-4b/l r3 cxt oscillates at a frequency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium -e3rcw4q- lbb2rdxd/ and released. What is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to different springs. Mass A vibrates with am xfgaaj5vxn7ph o9ne ( famq +4v1b9b( a9:3icplitude 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 mfh (e599axf +vpaa3 b(gqoj1n: ai4x9n7 vcb maximum speed of A compare to the maximum speed of B?

  A 0.30-kg mass is suspended on a sp v1z(gwx muq*l/5nv+kring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled a5qx wlgmzu(+ *vkn v1/n 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 spri34t9 k:f8nze9ewbjpq m k-1 fung. 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 tot j pekbfm3w8 e9:u-1nz qk4t9fal energy of the system.

  A 0.30-kg mass is suspended -ny,-cq8hfag 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 rest. Write down icqgf a-8,n-yh ts equation of motion.

  An object in simple harmonic motion obeys the following position versus timex9 hqx96bja8 -v1//wf7 fwfv8ofhhcg equav6x o9 w/8 hh jvf/87ff9c-xfqghb1wation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following posigjnrt+ 389cd 8.zy20g7cf nvh*l ytlktion versus time equat +7l*zync8vgy.j0 t l3t9nrch8g 2fkdion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the 7/bns fh0 a(h0n48 nhp)gyk eifollowing position versus time equatio)iknyp 047 08fashnbh( neh/gn:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end ogzlg gr .an7v6gp,c -*njupu 49, zq*cf a spring executes simple harmonic motion according to the equatig-* qj.unz4 7pz, *,lgpcu6c gr9gavnon $y = 0.50 \; \sin (18\pi \times t)$ 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 of 20.0 N/m 2k qjgpb- dm) ;,noty-oscillates on a horizontal, frictionless track. At t= 0, the mass is released from rest at x= 10.0 cm. (That is -nm oktdbq 2;,-)jpyg, 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 frequency and 8 cr(7lfnu;iwperiod on 8nicfl rw; (7uEarth?

  A 3.00-kg pendulum is 28.84 m long. What is its percqukdvmf6ug3 ti,063 iod on Earth?

  A pendulum has a period of hys: e9 7h.z:mhzh,xdrk*)pt2.0 s on Earth. What is its length?

  The pendulum of a grandfather c t ( ej*2mru:txpv3st-lock is 1.0 m long. What is its period on the Earth?px-:2 (rj t tsut3*vem

  The pendulum of a grandfather clock is 1.0 m long. What is its period1 qt t:)5 ,e.feflqf)ytkad0b on the Moon where th tq ffke,)al51)y.tqbdt0 ef:e acceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attac8cmg.en 3j d-( ) xj8w8:eg jaqpyszl+hed to a massless string. When the mass is displaced sa3d szg:j8+ -jpnxw. y8qcg e(e) jlm8lightly 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 the string instead?

A simple pendulum consisting 2,wa*nxc9mhx of a 20-g mass has initial angular displacement of 8.0e. It oscillates with a 29 x* nmc,waxhperiod 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 frequ6fyi, 1n0k cxnency of the wave is 120 Hz. What is the amplitude?f6 1,ni0xck yn

  Figure 11-2 is a "snapshot" of a wave at a car;;6y. -yk l ndc7xpgiven time. The frequency of the wave is7ypc6 .dc kxr;yal;-n 120 Hz. What is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequengzv( o9w fi(w4cy of the wave is 120 Hz. What isg4fi((v9 o zww the wave speed?

  What is the frequency of a wave which ha bv ;e)x21*jsdtbk4kv+fqz jq4:bqz1s a period of 6.00 ms?

  What is the period of a wave with c)i5o.k y5xkp a frequency of 1500 Hz?

  What is the wave speed if a wave has 1p3e0 o h(v1lvychrby09(z f ca frequency of 12 Hz and a wavelength of 3.031vz1vf( (boyy hr0phce0cl 9 m?

  What is the velocity of a wave that has f9 -t,o5a ch 7s(/1rkp cntk*uhi(mjha wavelength of 3.0 m and a frequency of 1ft-7cacji h(o1h9k m p,n/ths( *5 kru2 Hz?

  What is the frequency of a 2.5 m wave traveling at 14003q-u :m++ ns1 m nsyrfjq:6ubd(iry.c m/s?

  A piano string of linear mass density 0.0050 kg/m is unbzorj, c(j bnxw18,:7 wpz9rxder a tension of 1350 N. What is the xwr, or 81bxc7,9bjn jzw(p: zwave speed?

  A string of linear density 6.0 g/m is under a tension of 180 N. What is the k(b:vx ny;t-nvelocity oy(x k-:bvtn ;nf propagation of transverse waves along the string?

A wave whose wavelength is 0.500 m iv6ugs ijz8 1*fs traveling down a 500 m long wire whose total ma*81z6ivgjf us ss 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 -cfz id( -u7zg2 0ydhqa transverse wave on a 2.0-m long string fixed atf ic--g z2z70qy(hu dd both ends is 200 m/s. Which one of the following is not a resonant frequency of this string?

  If a guitar string has a fugvvv mys82o pjz (c1z8p.8k+nndamental frequency of 500 Hz, which one of the following frequencies can set the string into reco81gmj8v+8pk yzvs .p(nvz 2sonant vibration?

  A stretched string is observed to hav;+ ep4.k-cfpl,gs c+nc5hi xae four equal segments in a standing wave driven at a frequency of 480 Hz. What drivpi xg,-as4 f+.kpc+nl5e; cching frequency will set up a standing wave with five equal segments?

  A string, fixed at both ends, vibrates at a frequency of 12 Hz with a stanf.dn ,4:vdj biding transverse wave pattern containing 3 loo ,ivdbd4:fn .jps. 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 a tension of 20 N. What shou*r5v;pkb9 euw 8mt 1zuld its length be if its fundamental resonance frequen ;5tz1e 9uk*v 8mpubrwcy is 220 Hz?

  Find the first three harmonics of a string of linear mass)ut rd7litps * jb0vphb.;3.t density 2.00 g/m and length 0.600 m when it is subject j.s 3b ;rbtutphit7vd*p)0l.ed to tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. When the string vibrates aqh 5x i(/co3q;d)hyvpdx col*( a1ap- t a frequency of 85 Hz, a x)(co*d 5a-p1hqq idyx/oh(; cl3v pastanding 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.