The time for one cycle ofizsy5a2z) a4s a periodic process is called the

  For a periodic process, the number of cycles per unit time is cabw 7rju,c) --0 tnhwnc.n;hbclled the

  For vibrational motion, the maximum displacement from the equilyh i(i ts cb5b/nqxmiv*83o:.ibrium point is calle(/tis.by mcbx* n8qh3i ov:5id the

  A mass on a spring undergoes SHM. When the mass is at.ut 5 ;9g )vpw qsmozo-l w*ygcmi6ozc( hb181 its maximum displacement from equilibrium, its instantaneous wbh;o1-oz *.vtclmcuw5() p g8m16 o9zs qiyg velocity

  A mass on a spring undergoes SHM. When the mass passes through the equilf.3wm6u3psygvay1 0i ibrium position, its instantaneous velocity3usmpg3 6ay i1fw.yv0

  A mass on a spring undergoes SHu3fbd7us 76,n li5 6loztzt ,t jjou:-M. When the mass is at maximum displacement fromz 3juzu,n,6t7jitsfl u57odt l6 -: ob equilibrium, its instantaneous acceleration

  A mass is attached to a vertical springtiu/6ez2wr u 0/w-lc bp.*rjg and bobs up and down between points A and B. Where is the mass located when its kinetic energy is/gi0ej lz 6w2bc*utu -w.r r/p a minimum?

  A mass is attached to a vert/ akggfku4;5rark )- as c1,ab)- kmhdical spring and bobs up and down between points A and B. Where is the mag, 5cka b;hks/aa-g 1amf kk))dr4r- uss located when its kinetic energy is a maximum?

  A mass is attached to a vertical spring an w ;m9mq 3,ii:-lnl nnojz*qg1d bobs up and down between points A and B. Where is the mass located when its potential energy i jio lnm1,w9z:mqqni ;l*n3g-s a minimum?

  A mass is attached to a vertical spi:/zu7, vt1sp b b;ky5k szy -:;rumxmring and bobs up and down between points A and B. Where is the mass located when ry7b i,uu p5:yzzs-;mkx kt/vm:b1;s its potential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-sng)x z jqfhu0 n1el8;(e 1sax-pring system produces what effect on the system's mechanical eehej 1an1 8f0xqxzn)-lu gs(; nergy?

  Doubling only the mass of a vibrk:w-lmiq g, ks:f 4xr4ating mass-and-spring system produces what effect on the m:f4s:,4irwl-kqxg k system's mechanical energy?

  Doubling only the spring constant of a vibrating mass-and-sprjc ui m-+x v.ev*h*nsjb t131ring system produces what effect on the system's mecha si*mjjtu*n ve+bcrv1- .13xhnical energy?

  A mass oscillates on the en11y2i h(sjtx+ ifm oo,vlf3kj op6/ /jd of a spring, both on Earth and on the Moon. Where is j(+syji x3 1fov/kt1hoo6f jp,2mil/the period the greatest?

  Increasing the spring constant k of a mass-andx44 1 mhgeld)i-spring system causes what kind of change in the resonant freei h1l44xmd) gquency of the system? (Assume no change in the system's mass m.)

  Increasing the mass 5w dx ar+t+g(cM of a mass-and-spring system causes what kind of change in the resonantd( xr5+wa+ cgt 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 kind7:3 klz twl8v ua-:jeo of change in the resonant frequency of the system? (Assume no other changes in the skvl 7l:a-tez u oj3w8:ystem.)

  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 attachenn;*xmk4ef ;l ) b6zphd to a weightless string of length L. For this *nhe)x ;f ;mpbzl4n 6ksystem, when undergoing small oscillations

  When the mass of a simple pc qo,7+pfdx3n: 1u3cova-.vw f8a vyeendulum is tripled, the time required for one complete vibrati7xu w deo+vyf3f1pnac, 3 .qco-:v a8von

  Both pendulum A and B are 3.0 m long. The period of A is T. Pendulum A is twizl d0mg +bs1l2ce as heavy as pendulum B. What is the periodm0+gzds lb1l2 of B?

  When the length of a simple pendulum is tripled, the time for one 15 hnou(cxvr;cx7t)g complete vibration ounx5 );xg(ch7 1 rvctincreases by a factor of

  What happens to a simple pendulum's freqace w w yu./m4+ zsnjv;4f9lr(uency if both its length and mass are increased?ajww y (ru+v4s4zl. 9mcn/;fe

  Simple pendulum A swings back and forth at twice t;moaxj6 r*p5apf:5 q -u :demmhe frequency of simple pendulum B. Wx :mpomq*;e6ar up jma f-:5d5hich statement is correct?

  If you take a given pendulum to the Moon, where the acceleration of gravity . uvjt(af:dk;x g-po85zs :ip is less than on Earth, the resonant fr xi:k v 8s(oj.gz-; :utp5dfapequency of the pendulum will

  Curve A in Fig. 11-1 represent8i 2h6zpprl/qa if,x4s

  Curve B in Fig. 11-1 repr7afg35e, uo.kcq6yaz( vzl r/esents

  Curve C in Fig. 11-1 represent81 ha9 gid17go7vqjow6dxj9i s

  For a forced vibration, the amplitude of vibration is found toaw.q l.p8o*ag depend on the

  In a wave, the maximum dq3mk-0h so o61 s8gzadisplacement of points of the wave from equilibrium is ca0as m1q63-os 8gzohdklled the wave's

  The distance between success j/2nu8n 9jvebive crests on a wave is called the wave's

  The number of crests of a wave passing a point per unit t ovcr: eg1a;k zv-:r6zime is called the wave's :erkg1-vczr6z; a o:v

  For a wave, the freqv:5+qnpr /6ibvap dz) uency times the wavelength is the wave's

  The frequency of a wave increases. What happens to the distance betmm *vpw h32ot4ro+z ah9 p3u5kween successive crests if thw3p *25mhv+34 p9orkaohut mze speed remains constant?

  A wave moves on a string with wavelengts2gg p -t-/ ;rnc6yobih l and frequency f. A second wave on the same string has wavelength 2l and travels with the same velocity. Whinrgs -gp-6/;2y otcbat is the frequency of the second wave?

  Consider a traveling wave on a string of length L, mass M, and tension T. A staqz (h:liei+ ggp5a m+9nding wave is set up. Which of the follo ph:9+i+5l gziq ag(mewing is true?

  A string of mass m and length L is under tension T. ;r ipsem,6izlwlo0h: z k-r4ja j ;5p-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 to 2m,pj p,-;kr-5za04: 6eslrlwmii ;oz hj with no change in length?

  A string of mass m and length L is under tenzy 4q iljee+ ;a:4yj,fsion T. The speed of a wave in the string is v. What will be the speaqe :li 4j,+fy; y4ejzed of a wave in the string if the length is increased to 2L, with no change in mass?

  A string of mass m and length L is under tension T. The speed of a wave in th-at25lji6gz*ty 8h vz e string is v. What will be the speed of a wave in the string if thez*ah8gi y5- t6tjl2v z tension is increased to 2T?

  In seismology, the S wave is a transverse wave. As an S wave travels or p8, y3fk s19j+zb4fshu.kx through the Earth, the relative motio8j psyfrfh kz913 o,bk4 .xs+un between the S wave and the particles is

  In seismology, the P wave is a longitudinal wave. As a P wave trave)u5 ;l y;pxsd yzc j(w2,sjh;(n eqq;gls through the Earth, the relative motion bet;;;q ;l,h(ysqs(ycxdgzj 2wj )nep5uween the P wave and the particles is

  The intensity of a wave ix,dug+3ty)3bc3 to tqs

  A wave pulse traveli+6nikpf j /kydm7 hu )2nn:g0lng to the right along a thin cord reaches a discontinuity where the rope becomes thick 7n6 li0f) gnkdymn+uh j:p2/ker and heavier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass) ,uiyf: ijpv (9us/lu each other on a string, one is traveling toward the rightfu(uiy ivlu:)/p ,j9s and the other 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 tobh) 6.jzm3vbp) w(gvf ward the right has a positive amplitude, while the one traveling toward the left has an equal amplitude in the negativeh)v6j vfb)3 (z.b pwmg direction. At the point that they occupy the same region of space at the same time

  Resonance in a system, such as a strpuxbwj5m8p3 9 ing fixed at both ends, occurs when

  If one doubles the tension in a violin stringbc5/e*;i-te wrty jin8kwwx 7 7r;8zv, the fundamental frequency of that stringw5 x tw7k jte8v/7*r;ywzb;- r nie8ci will increase by a factor of

  What is the spring constant 0a s(wro vd e6v04bokm+t,y5e of a spring that stretches 2.00 cm when a mass of 0.600 k0ow4+0k (sv , a6deeot byvm5rg is suspended from it?

  A mass is attached to a spring of spring constant 60,h + i-gg,qo4ltm1jc p N/m along a horizontal, fri i mo+hjpc t-41lgg,q,ctionless 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 aarh+7yl bo,a * 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. ,7r bol*+a ayh 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,hyyb1) *(pay+ofs zy spring constant 60 N/m along a horizontal, frictionless surface. The spring is initially stretched by a force of 5.0 N on t1yhyaop(,ys z)fb y +*he 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 thrpakw0p 7lc+ggwu -;n)n ; cnc8ough 10 complete oscillations in 5.0 s. What cpn8 n)pn w;g;cclgakw07-+uis the period?

  A mass vibrates back and forth froma6;s j 5mq y4h3douy.x the free end of an ideal spring of spring constant 20 N/m with an amplitude of 0.30 m. Wm4a;hodxq y.u 3sy5 j6hat 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 to a spring of spring codcoi(1 v+ d1ru 6rhbtnx2-cr+nstant 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 equx r+cn6 o(-2ri vd +cht1drub1ilibrium position. What is the total energy of the system?

  A mass undergoes SHM with amplitude ofmwwrh -9qq2. z 33ah*8l a o5wbpuj/aays9* jg 4 cm. The energy is 8.0 J at this time. The mass is cut in half, aa-m9 /hgayw9jo w zq**sw. a85jlb3pqurh32and the system is again set in motion 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 constant 20 N/m along a hojx7ua j q7nb::dn)4w xrizontal, 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 amplitude of vibrationadnwjb:7)x7 n: 4qjxu ?

  A 0.50-kg mass is attached oo (v2mnvhx*(8 fu /hjto 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 1.5 m/s at the equilibrium position. At what location arhvjh*x vu2m n8o of/((e the kinetic energy and the potential energy the same?

  A 2.0-kg mass is attached to the end of a y l) if.h6zaovj.m u/0horizontal spring of spring constant 50 N/m and set into simpl0ohfzju i y/ 6vam)l..e harmonic 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 horizontpm9zo*td 3;zhyk a88 tal spring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What isamt3o88*zz yh9t; kd p the total mechanical energy of this system?

  A mass vibrates back and forth from thozo ue yg81yc9o,)af+c i 1cdb7;4ju 7vpbu8ue free end of an ideal spring of spring constant 20.0 N/m with an amplitude of 0.250 m. Whata,bc8y1zb77uu iu)f o v 4 y9uc8g e;jdo1o+pc is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring system is dispmdl6h2 4xfz h7laced 10 cm from its equilibrium position and released. A frequency of 4.0 Hz is observed. What frequency would be observhmd4 x6 2hfz7led 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 1 lngpk+bk)z+yjs-0+l0 N/m. The object is dispn+ pbl0l sjyg+ +)-kzklaced 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. The object i1 ++hm-tz vk*rfq d;uns dtv;n+zrm-1d u*qk+ fhisplaced 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 slighzm,d6q,nj ge6lyzjsa2755l h tly from its equilibrium position, and released. What is the frequency o,nd7hma5g5sl zql6 ,zjj2y 6ef its vibration?

  A mass is attached to a spring. It oscillates at a fbz :tysprcasw:mj*z1 a qxb :7711z9xrequency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What is the maximum velocity atta9xj11asx:1 7bs:q*:tzyzpcm wra zb7 ined by the mass?

  Two masses, A and B, are attached to different springs. Mass A vibrates with a81e o6do.mr fqmplitqf edm8o1 o.6rude 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?

  A 0.30-kg mass is suspended on a spring. In equiz (ns4;uqyl 660zoe2lhlqwj ;y2u1 qu librium the mass stretches the spring 2.0 cm downward. The mass is then l;;6u2 w0z4h1 oyynqlsu ue6q2j (q zlpulled 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 equilibrium the ;z/jyc tc,j1smass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and released / j1;cz,styjcfrom rest. Calculate the total energy of the system.

  A 0.30-kg mass is suspended on a spring. In equilibric2zuk6qtr /4ia 1o ej 4v7olz:um the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and z 74cqeto /2:zruj14i6o l kavreleased from rest. Write down its equation of motion.

  An object in simple harmonic motion obeys the following position ve 0uzv,: yuui4grsus time equauzv 0g uu:4iy,tion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following positixpy zka:)5)o lh4 1ftvon versus time equatio)v4hfz ao1:kl 5y)t pxn:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following position versus time eqzr3 m;19jv+fafecg i3uajr3fmiv9f ;e3gz+a 1ction:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple harmonic, 5xwmn77dxp vvj(y qlz)f5i3 motion accord 5xmiqd77xvn,)z5 pj3wvyfl( ing 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 constant of 20.0 N/m osc6r4ddsk, f :v imozx53illates on a horizontal, frictionless track. At t= 0, the mass is released from re3x ,4kidmd6sz 5fv ro:st 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 frequency68wq tb85p3z( xnk t2f 0pjdzx and period on Ear2p6t jz0 (dxbw5k8tp8xq nz3fth?

  A 3.00-kg pendulum is 28.84 m long. What is its period on Ear+ q4 tzomjbrzd35h eb1pyg )-f (oy33hth?

  A pendulum has a period of 2.0 s on Earth. myhvuy,z; ( z2 What is its length?

  The pendulum of a grandfather clock is 1.0 m ln87x6lan5bw kv.e9j wfts.f yg 9*g,u(ah4z cong. What is its period on the Earth?h 9lgub,tfg( cw56 8 nf za9av .x4ej.*7kwsyn

  The pendulum of a grandfather clock is 1.0 m long. What is its pej.rx;k 9g noa(riod on the Moon where the acceleration due to g ; x9rno(.agjkravity is only $1.7 \; m/s^2$?

  A simple pendulum consi4i .5c k(y0y1qjhpgxests 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 r0h ( 4qjc.kyei15 xygpesulted 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 initial angular displacement ofep bc7nt.y5 ) ce+ledey*qwim 1 c*w0; 8.0e. It oscilli ;dy.tyq1cw0l cc m7e*5ene b+*epw )ates 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 tkc :r)qz;el z-ime. The frequency of the wave is 120 Hz. What is the a; cqzl-ke: )rzmplitude?

  Figure 11-2 is a "snapshfl :y b: /e)9fibp;;:t calwhzot" of a wave at a given time. The frequency of the wave is 12e; b aly;zl/f9fb:tih p:)wc:0 Hz. What is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency of the wavhfyq6 fd-a1m v b(e/zls5 2fg+eb6 e fy (1lhvq-mg2f+dfzs /5a is 120 Hz. What is the wave speed?

  What is the frequency of a wave which ha:9xhbklakeu(5eik 4 2 s a period of 6.00 ms?

  What is the period of amd/nd1xx47n joh j+ 9c wave with a frequency of 1500 Hz?

  What is the wave speed if a **q4k0g cnamnm3 i3tkw3g jh(wave has a frequency of 12 Hz and a wavelength of 3.*mha t3wgq*nk 4c( kn3jm0g3i0 m?

  What is the velocity of a wave that has a wavelengthm2-ga.cw 71ng4cb ka; 6iy 2b;zyzlhh of 3.0 m and a frequency of 12 Hz? 7;k.y-h2gblchwagma26n 1zc 4;b iyz

  What is the frequency of a 2.5 m wave travelin)-,f7h(wei9 w0os4zq c dwaafg at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is twcf+vwyk+ *:under a tension of 1350 N. What is the wave sp:v+w *tfk+c wyeed?

  A string of linear dequcba4mw7z+ f.4y1 mjnsity 6.0 g/m is under a tension of 180 N. What is the velocij muyfw +1mz7q4cb.a4 ty of propagation of transverse waves along the string?

A wave whose wavelength is 0.500 m is traveling down a 500 m long wire whoin *7o*yy/b47dmgz gfse total m77g 4gyzmno*fiyd* /b ass 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 6jqi ofbrt356 of a transverse wave on a 2.0-m long string fixed at both ends is5t 6qriobj3f6 200 m/s. Which one of the following is not a resonant frequency of this string?

  If a guitar string has a fundamental frequency of 500 Hz, whv1y n. ah5*jkpich one of the following frequencies can set the stri.jhv 1na*y5pkng into resonant vibration?

  A stretched string is observed to have four equal segments in a standing wocsu7a,d7z 8pave driven at a frequency of 480 Hz. What driving frequds 7o8,7zc pauency will set up a standing wave with five equal segments?

  A string, fixed at both el estho(dj4g*d9uv:3kzctd d i z9988nds, vibrates at a frequency of 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency is neez 94e vh9idjd 38:ucztd8*tg9 (loksdded 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 shoulmsn+96p ,blzy2wob)sd its length be if its fundamentason9bmbz+w6s,p2 l)y l resonance frequency is 220 Hz?

  Find the first three harmoni 5)yw )r 6czna w7;arkjso:q 4m;k:am :eb9ceics of a string of linear mass density 2.00 g/m and length 0.600 m7; braame janc )z6: )4:9okkwm:rqs; w5cyei when it is subjected to tension of 50.0 N.

A string of length 2.5 m is fixed at both ej:7 bs jj9h:s at6p(cynds. When the string vibrates at a f(s:s cj9 jyp6 ahj7bt:requency 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.