The time for one cycle of a periodic process is5 cm6 g8fh8 vwsf*h4wb called the

  For a periodic process, the numb iw4j (etpri ,.vtzd78er of cycles per unit time is called the

  For vibrational motion, the maxiz(by u1g1s3g j 5y05veegdvtd13co)fmum displacement from the equilibrium point is cao30 j3su g11z vb)yfvgc1ee5gdy(5tdlled the

  A mass on a spring undergoes SHM. When the mass is at its maximum displacemeno t15ww ayyt)*t from equilibrium, its instantaneous veloy wto)wa5*y 1tcity

  A mass on a spring undergoes SHM. When the694 c gtly1 y7df3ppl7w n-fpj mass passes through the equilibrium position, its instanpf 471p y lgfwpn3c-76dytj l9taneous velocity

  A mass on a spring undergoes SHM. When the mass i.klzav-lcl .3fn6 eg1s at maximum displacement from equilibrium, its ins6kgvll a.1 nzc .lf3e-tantaneous acceleration

  A mass is attached to a 3gcfp(x, /znf k*vxi3vertical spring and bobs up and down between points A and B. Where is the mass located when its kinetic e3f/ z*xnpk3c vg (xif,nergy is a minimum?

  A mass is attached to a vertical spring and bobs up and down between point54k ;c2y7xa*vakf rhg cau+f/ s A and B. Where is the mass located when its kinetic energy ih 2*fa;/ kgy+7xua54v akrccf s a maximum?

  A mass is attached to a vertical spring ah jpb xi3d)p 5v((fzx (g)9lveog5cr8nd bobs up and down between points A and B. Where is the mass located when its potentialic) j v(p ((59lx8fhg5 3xzpv)odreb g energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down between pointsg8drz e:qn*6re2 ki(rj.0 rpe A and B. Where i(:.enq6 zjrkigr*e8 0reprd2 s the mass located when its potential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-a6 (j,hms ra1vt 3-fzd5r3nf-bfk6do lnd-spring system produces what o,6l3vf rnf -htfb15-as 3dz6 k dmr(jeffect on the system's mechanical energy?

  Doubling only the mass of a vibr/ u;yzr2j ,9;w1cqdot3x lagr ating mass-and-spring system produces what effect on the system's mec29 yj/w1qzo;;x ,tdg3 urlac rhanical energy?

  Doubling only the spring constant of a .f+z(x fcqkx*0m )o vdtim .n:kji77tvibrating mass-and-spring system produces what effect on vm. f+q. jmd7xc)t 7tz0:io*fki nk(x the system's mechanical energy?

  A mass oscillates on the end of a spring, both on Ear t6(7x vckjeo,2dfxkjv ktx p 7w2z4+)th and on the Moon. Where is the period the greatest?2cov 77) xtvj6x+,efz(kjtkx4k 2dpw

  Increasing the spring constan*nwvmz 1 d1 c:qo-y*yot k of a mass-and-spring system causes what kind of change in the resonant f1ozcvmno- : 1qd* *wyyrequency of the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-sprcndxlg6-65+ 0grq* 0ec rms ug4js eg2ing system causes what kind of change in the4gu6n-qxc0ed jr* rss 5l me6gc02gg+ resonant frequency of the system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a massv+n,qk fc ;9tik; ahh0-and-spring system causes what kind of change in the resonant frequency of the system? (Assume no other chanha vq,; h+9cf0k;kitnges 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 strin+ *l5gj3gnsr6sc8 un0ck nf4pg of length L. For thcncru+ gn5 j0fsnk3gspl84 *6is system, when undergoing small oscillations

  When the mass of a simple pendulum is tripled, the time required for one cxuyjaf 3bk3oi8 1 1x+qomplete vibratio8o3xbi uk afy3xqj11+n

  Both pendulum A and B are 3.0 m long. The period of A is qsgx0rnd/rirxw (1m.1t sv7 7T. Pendulum A is twice as heavy as pendulum x0rr 71x(rgns.t/ qidv17 swmB. What is the period of B?

  When the length of a simplqyzvxyg2 6j09zpok4 sv3y ,m: e pendulum is tripled, the time for one complete vibration increm9o2 y:zj q yg64s, p0kzy3vxvases by a factor of

  What happens to a simple pendulum'uakoxa(h1 0 hia; k.iay+9:ibs frequency if both its length and mass are incrhi .xk bo(k+:i0;i a aa1y9auheased?

  Simple pendulum A swings back and for6av:escgsq3 v.9,ss qth at twice the frequency of simple pendulum B. Wh6css.9s g3s,eqq vva :ich statement is correct?

  If you take a given pendulum to the Moon, wher 0: ae *rhx5o/qrhppvq53:upue the acceleration of gravity is less than on Earth, the resonant frequency of the pendulum wvorapu5hu :05px: erhq3 p*q/ill

  Curve A in Fig. 11-1 repra3*/bs/4 s brpwm dhwxj* 0w8oesents

  Curve B in Fig. 11-1 represen9 jb-v m8qt1obts

  Curve C in Fig. 11-1 repo2d ,6amiyo, zresents

  For a forced vibration, the amplitude of vibration is found to depend a)foy zl /k7.aon the

  In a wave, the maximum displacement of points of the wave frj9(3y eunl 4fhom equilibrium is called the wavyh(j fln3 94eue's

  The distance between successive crests on a wave is called )2ws.wi/(zf 1 -9w .mzixvshjve/n ianr1o6b the wave's

  The number of crests of a wave passingxf/g o1v,dq;,w whqr/;oqqz 7yg mg46 a point per unit time is called the wave'sq qz7o vx/wdo1g6qq gr gw;/4,hfmy;,

  For a wave, the frequency t;4hk4v)v yn b w7r,gzkaj4e6himes the wavelength is the wave's

  The frequency of a wave increases. What happens to the distance between succesom (/bhcq nzng l86tq-1br8- nsive crests if nmrzc- - qno1/8 ltb8 b6nqhg(the speed remains constant?

  A wave moves on a string with wavelengt wt-2eun bf1r-h l and frequency f. A second wave on the same string has wavelength 2l and travels with the same velocity. What is theftr1-- bu2w ne frequency of the second wave?

  Consider a traveling wave on a string of length ,z(xc*ohhtu q/ j* v sum+fcpg9n:6i2L, mass M, and tension T. A standing wave is set up. Whico(z g*f +pcs t/i :uvnq2,9h6*jxmhcuh of the following is true?

  A string of mass m and length L is (o54xftdor5w y9z5r;bkv 8xa 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 to 2m, with no change in len(tox5vof z98yxr4k5wd; b5argth?

  A string of mass m and length L is under tension T. The speed of a wave in the.6* a2z wbhgha,u+qia string is v. What will be the speed of a wave in the striz+q6*. hu2 aa ga,iwbhng if the length is increased to 2L, with no change in mass?

  A string of mass m and length L is under teu(03sr o;d+cjvjupkz m 3m).insion T. The speed of a wave in the string is v. What will be the speed of a wau3zm .c isdjom +k(3jpu0vr;)ve in the string if the tension is increased to 2T?

  In seismology, the S wave is a tr dt0m/vt/7ium vssp,, :pt1 ldansverse wave. As an S wave travels through the Earth, the relative motion between the S wave t/d01 tp s:p/s,t, 7lidvvmumand the particles is

  In seismology, the P wave is a longitudinal wave. As a P wave travels through tbc92evmjm m 2(t)c 4,ho0arqvhe Earth, the remobvj2q(c, 9rtvem2ac m)40h lative motion between the P wave and the particles is

  The intensity of a waki9yd h5;i;.k;t gesa ve is

  A wave pulse traveling to the right along a thin cord reaches a discontinw/cck: 3vxk*zuity whe wck: zx3c/*kvre the rope becomes thicker and heavier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each other on a string,ikwk *hly x gf3l-o46na9g;gu 8te;u9 one is traveling toward the right and the other toward thl 9i *3; 9yu8xwn6ouek4ltg-h fg;ak ge 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 tgc 4kn*ke )lhs1u9v)ioward 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 same regcgl*) 4)sk1 uh9vkeinion of space at the same time

  Resonance in a system, such as a string fixed at both ends4s5) ola7, x(y cxklbn, occurs when

  If one doubles the tension in a violin stringv18 fb)yfwd 0v, the fundamental frequency of that stri )d0w8b1yvffv ng will increase by a factor of

  What is the spring constant of a spring that stretches 2.00 cm when a mass of 0.1uxcre1t(jv- 3pz4s c600 ktrpx(c u31v4jz- sce 1g is suspended from it?

  A mass is attached to a spring of spring constant 60 N/m along a horizontal, f6v mr yrr,;zbcauwizw 8 6hg e*2u6+x5rictionless surface. The spring is initially stre26yxur;6 ,wgiarh5b+ zmv86uwcer * ztched 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 ofo 2kehzju3 q- fgkzk9q rv:/+/ 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 tr/ko2:g9 jzhqv/f z +euq 3kk-o go back to its equilibrium position when it is oscillating. What is the period of oscillation?

  A mass is attached to a spring of sprtu4)4qndxfu8 d,i7 iv9j -cmwing constant 60 N/m along a horizontal, frictionless surface. The spring is initia)jui-,9udt8xwm4dn7 viqc f4lly 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 g iz kur5 yawhzugd6(bi4bdsod; /*470oes through 10 complete oscillations in 5.0 s. What izidab 4b r56d/04gu ou*ih dzy;ksw7(s the period?

  A mass vibrates back and forth from the frpg;+3c 5 l uysv.hw5zml3tx9vee end of an ideal spring of spring constant 20 N/m with an amplitude of 0.3gv; sxtpyu3ml9c.vl+z 55w 3h 0 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 to a spring of spring constant 20 N/pc ctwme(t077 m along a horizontal, fric tp70etm( 7cwctionless 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 amplitude of 4 cm. The energy i5xs8rue3- 7q h w68uhjk/ambts 8.0 J at this time. The mass is cut in half, and the system is again set in motiuu6ajh883 b -r5he/ mqkw s7txon with amplitude 4.0 cm. What is the energy of the system now?

  A 0.50-kg mass is attached to a ey g: bl.s3v052sxq -gjbwt 4hspring of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmgwh txys-: l50s b3eg4j q.vb2onic 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 krgg +j2l: g+oN/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5gg2rk +og l+:j 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 con,lez t (7yyrfz34*vx cstant 50 N/m and yt(xyv 47*cfle 3,rzzset into simple 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 horizont,gfhg, j)za p7sqxi i.. tzycw6d71z7al spring of spring constant 50 N/m and set into simple harmonic mt.z.za1,w77 gxqjii h)dfz, gs 7pc y6otion with an amplitude of 0.10 m. What is the total mechanical energy of this system?

  A mass vibrates back and forth from the free end of an ideal spring of s 9rv ;nm4sne *b*k*t5 v6gxs 4ozq,vbdpring constant 20.0 N/m with an amplitude of 0.250 mz rgq6,sd k*xvv b*;bnstov*9e5 4nm 4. What is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring system is d62 f )pt xd32)+yrk6ab6leafr15mxw; tjmj ldisplaced 10 cm from its equilibrium position and released. A frequency of 4.0 Hz is observed. What frequency would be observed if the mass had been displaced only 5.0 cm and j3 tbt26xl5 f1 j )d afar2p6)6;mxm +ykerwdlthen released?

  A 4.0-kg object is attached to a spring of spring constant 1 mgu8q e6kr+l+xw62vx0 N/m. The object ieu+x62 gv r6m +kxq8wls displaced 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 spgi2-7 lbl/jpj/s ap x/t0y nrvb07qn8ring of spring constant 10 N/m. The object is displace7taj2-bx/j/sqlv b/n0g8r yn7 plip 0d 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 cono1v ;m(fcp1 1uuyi.*8fpxgejstant 18 N/m, displaced slightly from its equilibrium position, and released. What is the8uv ipg1e 1*;fxpf u.coj(y 1m frequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequency of 1.27d539y 7 nkm*rtp.wyj o Hz when displa y*y.37ko9 djwnp5trmced 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 springs. Mass A vibre bq7lcy4ml 7)ates with amplitud c7mby 4el7q)le 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. 3ng 6eejy 9urbnup;an94j f(0 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. Calc9jen6(ne; 4u ur0bf 3ngapy9j ulate the period of oscillation.

  A 0.30-kg mass is suyah g7it( q05yspended on a spring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an addition5gytqh ai(y07 al 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 o 2u4;8utbxql stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and released oqbu;428l uxt from rest. Write down its equation of motion.

  An object in simple harmonic motiovp2n- 7k9qh ztup *v;u7si r;cn obeys the following position versus time equ;;utpvi*p- qu2 sr7cz9hvn k7ation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the followinyvizaf1r: b0qng924 8 x 3ybmvg position versus time equation:ymb0f 3rq1 n9248vbx :agvz yi
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following position versus time em-j hurf2 pa2hs 33yq:quation:y2pa 3r:qshhu2 mf-3j
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a sprin+ju:npqf-osyh+ - x 5dg executes simple harmonic motion according to the eqjx+-fs+-dnuh: q p5yo uation $y = 0.50 \; \sin (18\pi \times t)$ 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 os*7z irs+sm3b ecillates 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 10.00*s r+bsim73ze 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 uf9n9nz1mec:z;g 1hw5 da)ic in 8.0 s. (a) What are its frequency and period on E1hm 1;:c) ndc 9aw9 igfnez5zuarth?

  A 3.00-kg pendulum is 28.84 m long. What (f5;xg 1rrptg is its period on Earth?

  A pendulum has a period of 2.0 s on Earth. ( a+ )vapmpi)e8akle 1What is its length?

  The pendulum of a grandfather cloch (t-kzm/qmq1gx+uq9k is 1.0 m long. What is its period on the Ear/q+ kzmg(qh-um t qx19th?

  The pendulum of a grandfather clock is 1.0 m long. What is its period on the M/lieknn/; ovv4/q:ek 3s 4*+reza gbmoo;e/n o:ne/aq km zib+3v/*evk lsr44gn where the acceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attachlm; aw*- mps k0+:y2iriu ws1q/5fyi0g fhq6ked to a massless string. When the mass is displaced slightly from its equilibrium position and released, the pendulum swings back and forth with a fre*asw2qp ;lsw 1m+00u ik5-: gryf kh6i/mi yqfquency 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 initial angular displacement of)7p68; 1h czati stvxk 8.0e. It oscillates w)zi ck t8sv7a6ph ;1txith 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 evvhij:q8w z4 syv ls-;*3,kaa wave at a given time. The frequency of the wave is 120 Hz. What is 8;el3kz:vs-i,v vws yahj 4*q the amplitude?

  Figure 11-2 is a "snapshot" of epodoaz84un u*8vdgi:s 9c ) 2a wave at a given time. The frequency of the wav)8 eun c:a98zd24oiog uvs* pde is 120 Hz. What is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given*m(pzjte*et : time. The frequency of the wave is 120 Hz. What is the wave speedjt**m: tep(ze ?

  What is the frequency of a wave which has a period of 6.0t5 4j-*8 1dsm etssfmno tu,/z0 ms?

  What is the period of a wave with a frequency of 150m g/z.exrrpwuvc bh/5d 463k (0 Hz?

  What is the wave speed ify3 ud0y c6bo 0t7cie2d a wave has a frequency of 12 Hz and a wavelength of 3.0 y d 3e26ybuodci7t0c0m?

  What is the velocity of a wave that has a wavele/usnn: mk q;+cngth of 3.0 m and a frequency of 12m:/ck;+nns uq Hz?

  What is the frequency of a 2.5 m wave z4;q77nnibbwm.m z ;c traveling at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is under a tension of 1350 * elf yqi,z/.uo4-c7ekrw9zizw u3 )nN. What is-l ez.zqfywe3 /,9 r cwk oinu4)zu*7i the wave speed?

  A string of linear density 6.0 g/m is under -obze;m;h2 8zienqteh6 ; tt 4a tension of 180 N. What is the velocity of propagation of 8 m4etq6eh t;-;zbntozh;2 e itransverse waves along the string?

A wave whose wavelength 7 d 7snae3-byp;yw7ksmao / m*is 0.500 m is traveling down a 500 m long wire whose total ma;ssa7a yk3e pm*obd w7ym -7/nss 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 transvers zy:8 s(ddt*gbe wave on a 2.0-m long string fixed at both ends is 200 m/s. Wdz(*d gbys8: thich one of the following is not a resonant frequency of this string?

  If a guitar string has a fundamental frequency of 500,7fng +a:yo+abzp9y o5uv rquv 1o3wzp;a 7r0 Hz, which one of the following frequencies can set the string into rezry9a0 +ow7vqfr p7onvg1 z;o :y,53au ba+pu sonant vibration?

  A stretched string is observed to have four equal segments in a standing wave h0 cx /fym 06yh)qs2u/jbhrs: driven at a frequency of 480 Hz. What drm s2 hh0q u h/cfj:b0)ysr6/yxiving frequency will set up a standing wave with five equal segments?

  A string, fixed at both oefj).b p9 *).f/xkb9elfdy cends, vibrates at a frequency of 12 Hz with a standing transverse wave pattern containing 3 loy*jf.obedx) 9 kl )ecbp/9 ff.ops. 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 Nm3g6q6 wuqzz 1. What should its length bz6361gz wm uqqe if its fundamental resonance frequency is 220 Hz?

  Find the first three harmonics of a string of linear masqb/f58 hm4pu us density 2.00 g/m and length 0.600 m q/5u p48hbufm when it is subjected to tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. When the u;eyf qf14ibyv/0rg1y)ifwbm 9i) j6 string vibrates at a frequency of 85 Hz, a standing wave with fivey v1iygy ffjr be mifw))q1bu6;0 /49i 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.