The time for one cycle of a periodic process is called thjhd27qp2q( b4 /y lcaevt)up(e

  For a periodic process, the number of cycles per unit time is ca jq* -i1e3gz ta(gx7yplled the

  For vibrational motion, the maxica lvse;:r8 9hmum displacement from the equilibrium point is cal8sa e 9v;r:hlcled the

  A mass on a spring undergoes SHM. When the mass is at its maximhk vqzf2o9e h 6 jth. eru824vk44bkx,rn ,1hzum displacement from equilibrium, its insnkh 2ruez eh4qz1hvfb,trjo9x 4 26vk. h84k, tantaneous velocity

  A mass on a spring undergoes SHM. When the mass passes throughro,-aq 4harx-uz5y;; 0hdals the equilibrium position, xh--a l5;uszoa4dr,0 rha ;qyits instantaneous velocity

  A mass on a spring undergoes SHM. When the mass is at maximum displace(jji1k /m o-vzment from equilibrium, its instantaneous accelej- mo1j/ik(v zration

  A mass is attached to a vertical spring and bobs up and down between points A aw6k*erh mwj3 ecqey/ s/rsw 34978ui wnd B. Where is the mass located when its kinetic energy is a mi s /k i6qc3mehus473re y8wwj rwe9/w*nimum?

  A mass is attached to a vertical spring and bobs up and down b cuw 7(smft*7j h8p w5g1v1reaetween points A and B. Where is the mass located when its kinetic energywf7*1vwg1pt 7r5 jmu (e8ahsc is a maximum?

  A mass is attached to a vertical spring and bobs up and dz- q1jeg c8g)rown between points A and B. Where is the mass located wh )q jggecz18r-en its potential energy is a minimum?

  A mass is attached to a verticqp7ubd , odkeloe;n78-p,d mm: 3slj1 al spring and bobs up and down between points A and B. Where is the mass located when its pote -e kb,:d; q 8llo7uon3ped,ms 7mj1pdntial energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-spring system produces whatk 1fn u x(gzcr:;:4ie-6nl luz effect on the system's mecha rln6cl1k(zu:f4g:;xie n -uznical energy?

  Doubling only the mass of a vibrating mass-and-spring systi8k t5yqhj) :;hil :qsem produces what effect on the system's mechanical eneqhhsi8lq)k:5jti y: ;rgy?

  Doubling only the spring constan zhvzf4i,. 6kqh3r xj0t of a vibrating mass-and-spring system produces what effect on the system's mec. k6j,0zhz3hvf4 xiq rhanical energy?

  A mass oscillates on the end of a spring, both on Earth and on the Moon. yp/k7: hr i p9+d7jnpl+.m w5t p/kgtj Where is thjtdp+j 5nt k p9w/iyp:.7mp lrhg/7k+e period the greatest?

  Increasing the spring constant k of a mass-and-spring sc ,k0/6 szfzmsystem causes what kind of change in the resonant frequency of the system? (Assume no changzfm0z 6,cs sk/e in the system's mass m.)

  Increasing the mass M v+k*jyhlgnm .fn4 i9 :of a mass-and-spring system causes what kind of change in the resonant frequency of the system? (Assume no chyilg n.j +kmv49f:nh*ange in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system causes what kind of8t+02yy )z5cb zxhkjw change in the re5y tjyckxw8hb0+)2 zzsonant 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 of4fop/r;l5kqkst4b-7t j vv s/ a mass M attached to a weightless string of length L. For this system, when undergoing small oscillav54/sb4ovt /tskpf7- r klq j;tions

  When the mass of a simple pendulum is tripled, the timpc191m:12az7ec)+.cwqz rkls ikt4:t p zuf n e required for one complete vibrapw)kft2 klq111 4z cce9mipzns+z:ruc t7a :.tion

  Both pendulum A and B are 3.0 m lncvtx 2j/, o/s(qfa4f ong. The period of A is T. Pendulum A is twice as heavy as pendulum B. , n c4xt/2s/f(ovaqjfWhat is the period of B?

  When the length of a simple pendulum is trvqds+5 hxi6mmp;ldk (8 phi6,ipled, the time for one complete vibration increases ( pv8xh 6+i k5hdidl,pmq6;m sby a factor of

  What happens to a simple pendui ,44bm fh/ygstjh26elum's frequency if both its length and mass are increase4hsbimg6/j ,24hef ty d?

  Simple pendulum A swings back and forth at twice the frequency of)dr 9 m0ngi9tk simple pendulum B. Which statement isi g0rd)ktnm99 correct?

  If you take a given peep*(fz2,yz ;*if6 gg zz xxm:zndulum to the Moon, where the acceleration of gravity is less than on Ear,xx2gy zz gzzzfm*pie( ;f6 :*th, the resonant frequency of the pendulum will

  Curve A in Fig. 11-1 repres9xn ;ip- -u0zazmgtn9 ents

  Curve B in Fig. 11-1 r03g.ce 9cf p5 xd: 0zsza7ytswepresents

  Curve C in Fig. 11-1 e yz 3w1m2uu1cov5gwp b17+b grepresents

  For a forced vibration, the amplitude of vibration is found to depejg/or+ g8 o-;qu nlq bq.e2zt9nd on the

  In a wave, the maximum displacement of points of the wavey829t.d n/ ytpp*0trv d5xwqq from equilibrium is ca0rwqy q.d v2/98ty *dpntp x5tlled the wave's

  The distance between successive crests on a wave is called t6g42b2/k avh teobe-k he wave's

  The number of crests of a wave passing a point pejf c4yn0z, h9:m4tuhkr unit time is called the wave':04tzjf 4 ykncm hhu9,s

  For a wave, the frequ 7a1d*v gi0fndwuso1/ency times the wavelength is the wave's

  The frequency of a wave increases. What happens to the distanv-g:bzet0me d7x)( ldce between successivebx0lm -(v e:d)tdez7g crests if the speed remains constant?

  A wave moves on a string with wavelengmq,ei( tke9s :pnz68f7 mxp6 eth l and frequency f. A second wave on the same string has wavelesqep6emm:6kx (, ef98i npz 7tngth 2l and travels with the same velocity. What is the frequency of the second wave?

  Consider a traveling wave on a string of length L, mass M, and teq,c4 x fke;:oxnsion T. A standing wave is set up. Which of the following is q fo;:e c4,kxxtrue?

  A string of mass m and length L is under tension T. The speed of a86vdl g9imj9cl0ejk f)dq i8 1 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 id cleji0j8d )i61fk9lv g9mq8n length?

  A string of mass m and length L is under tension T. The speed of a waveb a 3mlkxz593r8hq9jj in the string is v. What will be the speed of a wave in the stringj lx83a9 km hj9z35bqr 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 i8v(fmzi),m x jn the string is v. What will be the speed of a wave in the string jzm(i) ,8xvfmif the tension is increased to 2T?

  In seismology, the S wave is a tran, x4o: 0tcyq-haervy6 sverse wave. As an S wave travels through the Earth, the relative motion bx4q0y:co, rth-a 6veyetween the S wave and the particles is

  In seismology, the P wave is a longitudinal wave. As a P wave travels thrzu(ybe( hq x*r9pn5q(ough the Earth, the relative motion between the P wave and thez* qqe 5nx((b y9ru(hp particles is

  The intensity of a wadds yz5t7n7rr h1e6 c.ve is

  A wave pulse traveling to the right along a thin com g a.ngrsbkg9gw36kmg x*+c 9m:i0j2rd reaches a discontinuity where the rope becomes thicker and heavier. What is the orientation of the reflected and trags3r9m cj*+n:0 gm 9bmax26 kkw.ggi gnsmitted pulses?

  Two wave pulses with equal positive amplitudes pass each other on a string,dsrsblb1u -trrvj/mjn+k -. 9w( ( p4rs2s4ab one is traveling toward the right and the other toward the lefkp 4s1/ (asrrs 4(mrj9 bjd.2tvbbl- +rw s-nut. At the point that they occupy the same region of space at the same time

  Two wave pulses pass each other on a strin3xhn( ul7+fax: jgddj4/r*xg mi(3kg7,rhi bg. The one traveling 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 sh:j dxh,bxr/ (mf*n3d477 a3 jgu xik+rglgi(ame region of space at the same time

  Resonance in a system, such as a strind jw0-n; ys/j-n rw:fxg fixed at both ends, occurs when

  If one doubles the tension in a violin string, 7t*e 6d cr1 u6lysuz9cthe fundamental frequency of that string w6*yd cu9et 7ls6uczr1ill increase by a factor of

  What is the spring constant of a spring that stretches 2.00 cm when a massnp8 /,q ;nb:*ch gqawnme+ u*ppype97 of 0.6 hnyup*w/agm9n8cp pn:qepq *7,eb+; 00 kg is suspended from it?

  A mass is attached to a spring of spring consta:qq1nr /:, xv8 zqpxxxnt 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 equilibrium positio8x z1xq xqp /qr,v::xnn when it is oscillating. What is the amplitude?

  A mass is attached to a spring of spring constfy b8m,+oyiq/ ant 60 N/m along a horizontal, frictionless surface. The spring is initially stretched by a force of 5.0 N on the mass and letf,q/m+8yyo ib 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 spring of spring constant 60 N/m along a hor/ x: oqwqxk*,j ,qz-abjd) df3izontal, 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 oscillating. What is the qd3af qjox,jk:), b-d/xw zq*frequency of oscillation?

  A mass on a spring undergoes SHM. It goes through 10 npy t1ue : r19jp3o.tg:em -ywcomplete oscillations in 5.0 s. What is the perwprpty:yj. mt 1eogu ne3:-1 9iod?

  A mass vibrates back and forth from th tkk;6yon/3+x+o,k ( tm somn5ewtg y9e free end of an ideal spring of spring constant 20 N/m with an amplitude of 0.30 m. What is the kinetic energy of this vibrkomnk/6;onyyt5+3o+wket 9gx( t ,smating 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/m alo ju3 t7qfors,qg j:4n3ng a horizontal, 3 j,f:qr4qt7sng ju3o 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 total energy of the system?

  A mass undergoes SHM with ampldx.6ahdo /-zbph0ru 1 itude 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 theohhx6d. 1u b/0r-pzd a energy of the system now?

  A 0.50-kg mass is attached to a spring of )yv xxi+;nz *espring 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 thxzv ;)yi ne*x+e equilibrium position. What is the amplitude of vibration?

  A 0.50-kg mass is attached to a spring of sph1tj4xhpun/ ;ring 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 are the kinetic ene/;j tphuh 4xn1rgy and the potential energy the same?

  A 2.0-kg mass is attached to the end of a horizontal sprn*v:ms.1k s p5 .oaczn93oiyivn-l o0ing of spring constant 50 N/m and set into simple ha*cy9s5o l30ia:k.o nsov1m znn. -pv irmonic 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 horizontal spring of spring consni4e u; runx+)tant 50 N/m and set into simple harmonic u )ieuxn4 nr;+motion 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 idefn5fi j- kmfzlql9g0ak4/ k 09al spring of spring constant 20.0 N/m with an amplitude of 0.250 m. What is the maximum a qi/f0 5gm9f4fllzn0kkkj9 -kinetic energy of this vibrating mass?

  The mass of a mass-and-spring system is displaced 10 cm f0hasrh/ ;8 )dho8g wpco0r6ffrom 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 an0sw/ gf 0rf8d6a8ohrpho; )hcd then released?

  A 4.0-kg object is attac-f i j zbc 7tv-roqc:ws);3pr2hed to a spring of spring constant 10 N/m. The object is displajzs)f -opivrw3: 7;2ccb t-q rced 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 springaf3 jwev64f.4g8ix r.vwv ul4 constant 10 N/m. The object is di8.a4 .uivf6fj4vgle wrxv 43wsplaced 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 spa2kn- m0f9rroc k1ur:q- w2cxring of spring constant 18 N/m, displaced slightly from its equilibrium position, and release0curq2:kfrrck-a no9 2x -1mwd. What is the frequency of its vibration?

  A mass is attached to a spring. Itwl6n8 d77/yav lryjl: oscillates at a frequency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. 7wyj na 8rld7/6:ylvl What is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to different springs. ykoc-n v8,o01*bbej ) io oku7 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 Hykb 0iv jke obu*nco8 17,)oo-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. Ibt* p q m9,zaimt0ld: j-no-,fn equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulledmb:q 9pli-df-m0,z*otnatj , 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 mas38c)6 .m ip9mmq navn.kcfgk:s stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and gkmi.vpn.ckq9f8)n:c6am 3 mreleased from rest. Calculate the total energy of the system.

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass stretches ns0 ;x0l i8q-(uiu dpothe spring 2.0 cm downward. Tnpdqiui( so-x0;80l uhe mass is then pulled an additional distance of 1.0 cm down and released from rest. Write down its equation of motion.

  An object in simple harmonic motion obeys the fjo k293kl+:mfy +wpsh/ d jlr)ollowing position versus time equa3mjs+2jh)ok f+r lwky/ dl9p:tion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic mopaej+ 51owvn m)t(*rotion obeys the following position versus time equati)wmr en 1(apo*5 jtov+on:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmoni(qu kwz1w2 oq+c motion obeys the following position versus time equatikqwuo(+q 21wzon:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring 39j srm e e 9 xt91dvon,; vgh+y*vs5a8)mwptyexecutes simple harmonic motion according tovt 1,h* oy59y3 ;+ms)snevj mw9tp8va9 degrx 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 sprin+fsehti p:u a,8m+8rsg with a force constant of 20.0 N/m oscillates on a horizontal, frictionless track. At t= 0, the mass is released from rest atiafm+ h er 8tus:,s8p+ 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..bybz g3d)- ov0 s. (a) What are its frequency and period on Earthgv3zbo)y. -b d?

  A 3.00-kg pendulum is 28.84 m long. What is its period on Ear)q 4l*yniaua-c0on6w 5,du x eth?

  A pendulum has a period of 2.0 s on Earth. What is its leutkp)yanw2q s6xlyl 6w*)-wlh-6gz .ngth?

  The pendulum of a grandfather clock is 1.0 m long. Womjf22*y f.q xhat is its period on the Ea *oqm x.ffyj22rth?

  The pendulum of a grandfather clock is 1.0 m long. What is iv luuo 7( ;:1hj6ysbhvts period on the Moon where the accelerhb s;ohu(j l6v7:u1 vyation due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attached to a ma59 rcsy i/t5:ecmcm ;cssless 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 reymtr5; mc/c:95 i ccsesulted if a 0.50-kg mass (same diameter sphere) had been attached to the string instead?

A simple pendulum consisting of a 20-g mas slf/ggw *a+6zs has initial angular displacement of 8.0e. It oscillates with +wzf*s al gg/6a 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 time. The frequency of tw+owk.6a w sqo.: zr 5zot3q.phe wave is 120 H.. 3.t+asq wwo6w:oz5oqkpz r z. What is the amplitude?

  Figure 11-2 is a "snapshot" of a wave agiz+-, ipu-dvuy x37 at a given time. The frequency of the wave is 120 Hz. Wha+,u-u7a vx -yi gdi3pzt is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency of thefow7 2-g2vtg:rpzx7 tk2emb ,ojp7v( wave is 120 Hz. What i2fo t 7g,7-o7e wz2xpk(rvtjgvb2m :ps the wave speed?

  What is the frequency of a wave w567z q u ezmvlv5 vl6/ku2j m77bzdgs,hich has a period of 6.00 ms?

  What is the period of a wave with a frequency of 1500 H)i,zzso.3 vd bz?

  What is the wave speed if a wave has a /tpw6 im7vw 9dfrequency of 12 Hz and a wavelength of 3.0 m?mi/96ww pv7 dt

  What is the velocity of a wave that has a wavelength of 3.0 m andpq3fyto,n o uak r:6:6jzsfu982yk6f a frequency of 12 Hz?kp3yq66 u9f6f jfz8u, k2a nt o::yors

  What is the frequency of a vf,th(ct 8 q0s2.5 m wave traveling at 1400 m/s?

  A piano string of linear mass density 0.00z y,fz:5 ;n djtyo)wfow 8y8c+50 kg/m is under a tension of 1350 N. What is th+c), w f8w;zyoyt 5jdn8f: ozye wave speed?

  A string of linear density 6.0 g/m is u,)zc-* pg fwzfnder a tension of 180 N. What is the velocity of propagwfcz),zgfp *-ation of transverse waves along the string?

A wave whose wavelength is 0.500 m isa tq:1jrsw)e-r9/mir traveling down a 500 m long wire whose total w 1rr:-se/i rta9q) mjmass 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 u) n1p-49yr;5bsg uj b:dx xbjwave on a 2.0-m long string fixed at both ends is 200 m/s. Which one of the following is not y1rub:x s 4b x j)gj59udbn;-pa resonant frequency of this string?

  If a guitar string has a fundamental frequency of 500 Hz, wh6kc0:f mr5,oc* nm27vxtjlv gcux ;o;ich one of the following frequen nfju5 m 2*,;ooltv;m c6cg xxrkc0:v7cies can set the string into resonant vibration?

  A stretched string is observed to have fourz tnxj+rcb*, i ( c5u8uumz,:o5/+umet2or xl equal segments in a standing wave driven at a frequency of 480 Hz. What driving frequency will set up a standing+u n, m ol5b uxz+e,zuij2m (:5rc tux/ct8or* wave with five equal segments?

  A string, fixed at both ends, vibrates at a frequency of 12 Hz with +new,gnpq*k 5 a standing transverse wave pattern containing 3 loops. What frequency is needed if the standkwe pn,qn +5g*ing wave pattern is to contain 4 loops?

  A string of linear density h+jow(g9w oc( 1.5 g/m is under a tension of 20 N. What should its length be if its fun(oj9( howg wc+damental resonance frequency is 220 Hz?

  Find the first three harmonics of a string of l/ vx*s.3fkqnl inear mass density 2.00 g/m and length 0.600 m when it is subjected to tension of 50.0 s*n kqf/3.xvl N.

A string of length 2.5 m is fi5mz5oqrcv x .9t bju0)xed at both ends. When the string vibrates at a frequency of 85 Hz, a standing wave withjt095)zb 5ocumq .rvx 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.