The time for one cycle of a periodic proce itr52ps(a+dz z3tfakn)69o jss is called the

  For a periodic process, the number of cycles per unit tp-:, l:w0np,vv rb iwmime is called the

  For vibrational motion, thg972 vp-jvf4oxdi- fhe maximum displacement from the equilibrium point is cd9f hp2jg ov-xvf4i- 7alled the

  A mass on a spring undergoes SHM. When the mass is ahym;:70m/8e jboglmz t its maximum displacement from equilibrium, its instantaneous veloc8ob y:jmhm l/g7 me;0zity

  A mass on a spring undernco j+ v:o3)/hspr,p5hj *nysgoes SHM. When the mass passes through the equilibrium position, c )s35n: phnyjh/vr,o+s jo*pits instantaneous velocity

  A mass on a spring undergoes SHM. When the mass is at maximum h-tojx 5jnh))displacement from equilibrium, its instanjn)t-5ojx h)htaneous acceleration

  A mass is attached to abacprg ( 1 i+we;ul9*r vertical spring and bobs up and down between points A and B. Where is the mass locatpr b( *9irlu1;eca g+wed when its kinetic energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down h5ic/e (7yu zjbetween points A and B. Where is the mass located when itsjc (/yh7 uez5i kinetic energy is a maximum?

  A mass is attached to a vertical si n fv vhonpug ,-cd0ej58b- w*:5x4xdpring and bobs up and down between points A and B. Where is the mass located when its potential energw ,ecb:d ngv5* pdvu45hfnx oi j-80-xy is a minimum?

  A mass is attached to a vertical spring and bobs up and down between points A akz,pqhqfy*clm ;b*3 7nd B. Where is the k3 hq* zq;l7y,mp fcb*mass located when its potential energy is a maximum?

  Doubling only the amplitude of a vibrating maspdxzdsn2o klqb+9 *9o t4wke 0x4,9y rs-and-spring system produces what effect on s,l+o pxrwbd 0zxet*y9k d9n9kq 424othe system's mechanical energy?

  Doubling only the mass of a vibrating mass-and-spriygidc0l(vv5 h k0e)i 5ng system produces what effect on the system's mechanical energy? 0y0g(i5 hvc )lv5dkie

  Doubling only the spv0h+v +yucxd) h6q5mhring constant of a vibrating mass-and-spring system produces what effe qdhh0x cyuhm+5)+ vv6ct on the system's mechanical energy?

  A mass oscillates on the end of a spring, both on Earth and on the Moon. Where sl 321nvf kwik.,e*hdx7 3h fuis the period thekskvxwhn 32d.* ih17, lf3fue greatest?

  Increasing the spring constant k of a mass-and-spring system ccyw2qk5x1dw9tw /cc65 rw- vt auses what kind ofcx5ww 6 cd9w-w5k2 y1/qt crvt change in the resonant frequency of the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system causes what kind ofpn;t;+booj x)sk 2l;o change in the resonant frequency of the system? (Assume no j2 okls;;ot);oxbp+nchange in the system's spring constant k.)

  Increasing the amplitude of a mass vq ne4 : aa7gjn.yaucz.y w 2h5a*p+6otdw6z3-and-spring system causes what kind of change in the resonant frequency of the system? (Assume no other chang6anva4+:oh3 put a q7y jd65.2 *cwz.egyn zawes 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 4/i +zub0y uupstring of length L. 0iuzpbu yu +4/ For this system, when undergoing small oscillations

  When the mass of a simple pendulum is tripled, the time required for one complet:cioew. -ay:p e vibratioa-o: i.cw:eyp n

  Both pendulum A and B are 3.0 m long. The period of A is g 6m cw1ho91 mp2*afoa09sqjkT. Pendulum A is twice as heavy as pendulum B. W6 ofa 919 q*gmpm2cw1 0koshajhat is the period of B?

  When the length of a simple pes(kj s3 gqut0k.vd/- yndulum is tripled, the time for one complete vibrationjvs ukks3y-(g t.d0q/ increases by a factor of

  What happens to a simple pen dzaat.q/1*lq, vgc(udulum's frequency if both its length and mass are increased /avlquq.,*gca 1dt(z ?

  Simple pendulum A swings back and forth at twice the frequencf:bmp.4 6 hsmoy of simple pendulum B. Which statement is correp6:homsm4fb . ct?

  If you take a given pendulum to the Moon, where sn64ia30 we rnv5kn1rthe acceleration of gravity is less than on Earth, ts n6e1k n3wrri4a5n v0he resonant frequency of the pendulum will

  Curve A in Fig. 11-1 represy6e1 3uj-gr xzents

  Curve B in Fig. 11-1 r2a;p+hyotlm hc ,1 0uiepresents

  Curve C in Fig. 11-1 r:w5bqo 9z ;qecepresents

  For a forced vibration, the amplitude of vibration is g-urs(gx)8ne found to depend on the

  In a wave, the maximum displacement of points of the wa elnu fpr66x6ny88a n9ve from equilibrium is call6p8y 6n9rfe 6n ua8xnled the wave's

  The distance between successive crests on a wave is cai x q8:x:w xboe6r:c ttrw2m+4lled the wave's

  The number of crests of a wave passing a point per unit time is called thetyl r8o.i h((y wave'hy(lti (oy.8 rs

  For a wave, the frequency times the wavn jk-:i .b6jv,tvqww4fh 3;u aelength is the wave's

  The frequency of a wave increases. What happens to the distance between 0liv.gb r28afy j-,d qsuccessive crests if the spv,a-l0yj.2 ri dbg8qf eed remains constant?

  A wave moves on a string with wavelength l and frequency f. A secosgbn7 n/:di+k nd wave on the same stri :7nd+/k ngisbng has wavelength 2l and travels with the same velocity. What is the frequency of the second wave?

  Consider a traveling wave on a string of lengi brjz7v)lbb0*x n :x8th L, mass M, and tension T. A standing wx znjr0 7*:il)xbbbv 8ave is set up. Which of the following is true?

  A string of mass m and (dqqik5m .c9 p;/eaovlength L is under tension T. The speed of a wave in the stringiq( ; 9dm/c kvoa.5qep 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 length?

  A string of mass m and length L is under tension 1.loq6x/abf sT. The speed of a wave in the string is v. What will be the speed of a wave in th xsf.o16 lq/bae string if the length is increased to 2L, with no change in mass?

  A string of mass m an4u8jmfj b+ea p(pgx *5d length L is 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 tension is increased to 2ej+u p4mx5g*ba8j(f pT?

  In seismology, the S wave is a transverse wave. As an S wave travels through t eoe7t,zwil1)+7xf mq he Earth, the relative motion between the S wave and the emx+71qiltwz,7f eo) particles is

  In seismology, the P wave is a longitudinal wave. As a P wave travels throc2gzc(4 fmlsp; -q i90bcsv8cugh the Earth, the relative motion between the P c ;2( q s4vfcglc8zp9cm i0s-bwave and the particles is

  The intensity of a wa1 u wbtn xv:g5h8atv.7ve is

  A wave pulse traveling to the right along a thin cord reaches a discontinuiaz(r zvv+.ip8 ty where the rope becomes thicker and heavier. What is the orientation of the reflectedi .+8vzavrp(z and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each other on a stringkzyxdwgivn nnz3. 496bcij 56ue4o 0*, one is traveling toward the right and the othcz o.* 5d kxwj36ni vnuenyz4 ibg0964er toward the left. At the point that they occupy the same region of space at the same time

  Two wave pulses pass eavfq x;m5 .9,tkm yog-uch other on a string. The one traveling toward the right has a positive amplitude, while the one traveling toward the left h;-yv5,. kft9 gomqmux as 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 st mu f/qv3d34+ery0cv cring fixed at both ends, occurs when

  If one doubles the tension in a violin string, the fundamentalvl :;xx (xyc v+w*/qre frequency of that string will increase by a factor oeqc l(w *xyvv+x/xr; :f

  What is the spring constant of a spring that stretches 2.00 cm when a masf,alzf0n48uo ykr )0lqttv-+7 bx(lr s of 0.600 kg is surf4alfkl,t0u-0 bx) +zqo7(lyv rn8tspended from it?

  A mass is attached to a spring of spring constant 60 N/m along a horizontal, fr:m:a*eau xwx,*osose x9f1:p sj 9lt9ictionless surface. The spring is initially stretched by a force of 5.0 N on the mast9o ,us:f s9l9xamxwe*e axs1j*o:p:s 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 ox77:yw73sqwvan iy a(f 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 equilibrium position when it is oscillating. What is the period of os:7(xy37i aanw7vy w qscillation?

  A mass is attached to a spring of spring constant 60 N/m along a horizon7 mal1lb4e -fjtal, frictionllf47-j1e lm abess 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 frequency of oscillation?

  A mass on a spring undergoes SHM. It goes through 10 complete oscillati -9-vdmrn0c h(g: -2tju-t) salmdzz i)rnw/sons in 5.0 s. Wha):wc mzn-9-d(g- udmrvatt h0i)j2l szn- sr/t is the period?

  A mass vibrates back and forth fgm,dd lj . 2xl3p1 do3sj-0w :iuujdk1rom the 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 vibrating mass when it is 0.30 m from its jd2d 1,jpdukxs1 i:d3l-.j o l3ug0 wmequilibrium position?

  A 0.50-kg mass is attached to a spring of spring constanxha/ p( ;kqep( cu7ld1t 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. What il (kh1qdp a/(cp7e u;xs the total energy of the system?

  A mass undergoes SHM with amplitude of 4 cm. The energy is 8.0 J ua/pw / ch;wdc (et98g0laq*k at this time. The mass is cut in half, and the syste/dw8k wpu *0a e;t/qccg9a h(lm 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 co nj 6wu;iukux3 +c;be;0t/8affr b*mnnstant 20 N/m along a horizontal, frictionless surface. The object oscillates inb3m akxnt; ejb+ inuurw;f*;6 8 0uc/f 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 aeh ;txa6:yh)0ekl*d i 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 wha:k6x he) a*h e;ilyt0dt 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 sprin1rauoe is1-n8g constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the total mec1oris8 nu-e1 ahanical energy of this system?

  A 2.0-kg mass is attached to the end of a horizontal2 5lt;mvvybre /c5jci+zq5,w spring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What istc ,lmiv+w jbe5; c5q/25z yvr the total mechanical energy of this system?

  A mass vibrates back and forth from the free end of an rhq e6xk0rfu :79r,8t/ tdnzn ghk26z ideal spring of spring constant 20.0 N/m with an amplitude of 0.250 m. What is t6 rt: d8n/qgr,x7 nhufth62ezkkr0 z9he maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring system is displaced 10 cm from its equilibrium tj2nyh:bso h6( l7eh 9position and released. A frequency of 4.0 Hz is observed. What frequency would be observed ifbje 9n 2:s l7oth(6yhh 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 -h,kd4,iq*gajx5kx v 10 N/m. The object is displaced-x 4xdqi,kj*v5 gak ,h 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 ;o2 3m ,ee*ee rtfp.kla spring of spring constant 10 N/m. The object is displme 3p ; o*2.refel,tekaced by
5.1 cm from the equilibrium position and let go. What is the frequency of vibration?

  A 2.0-kg mass is hung frodh*z/un t2v zp.tk1 .jmt ypem4rv+;1 m a spring of spring constant 18 N/m, displaced slightly from its equilibrium position, and released. W+.1kmdr1uty v pzv*t4.z2jn;h pt/me hat is the frequency of its vibration?

  A mass is attached to a spring. It oscillae6zgbn 31:m jnxh2a 6g-0k1rt(:t:iv a lsgmi tes at a frequency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and rl m6i 6:( tgage 3x:ihma2stv kb01rjz:n-gn1eleased. What is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to different springs.q41hgtatx fp+ 60lu)h 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 Hz. How does the maximum spee 6f)0 ga+u1qxhthlpt4d of A compare to the maximum speed of B?

  A 0.30-kg mass is suspended on a spring. In equilibrium 3 xqkxo5e;bhqf51 0od the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and rox05hq5 dfe ;3 kbqx1oeleased from rest. Calculate the period of oscillation.

  A 0.30-kg mass is susl4. asl*;um eapended 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. Calculate the total energy of the systemu*als .l4a em;.

  A 0.30-kg mass is suspended on a spring. In eihcc lk(08yl2d )nl,ko ;5vxr;m1sz qquilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cmvz8 ,sl 5h k;ylc)1o knq;2lximc0dr( down and released from rest. Write down its equation of motion.

  An object in simple harmonicpk3h itmso jn*6m:*5y motion obeys the following position versus time equakp3 sth :n**im6oj5ymtion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion gekr.fz( p8:zm/o3 ekobeys the following position versus time equation:(g/:o kpfer8ekm.3z z
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonicz s6qg1,d:sym motion obeys the following position versus time equgs, 6y sdq1z:mation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple harmocidbjsa)t9975c m41e w2y5fc ;mvlovnic motion accordin9)wv dcj lmcaof;ev 571tb 2c49miy5sg 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 cum04e. )qcmwy.qvc*:zw2m zd onstant 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 spring is stretched by 10.0yq.eucm.:* cv) mwq0mdw z4z20 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 q; m7,mldso v:in 8.0 s. (a) What are its frequency and period on Earth?o,: lv7q ;mdsm

  A 3.00-kg pendulum is 28.84 m long. What is its period onyiilu h8; lop0)updk.l 1qp: , Earth?

  A pendulum has a period of 2.0 s on Eam,uf3d:bn 1oa9o+qjv rth. What is its length?

  The pendulum of a grandfa8c5i85,w wcao (a;dmbzh j f6uther clock is 1.0 m long. What is its period on the Earth?fiao5 a,;8bz mw (jhcu cw56d8

  The pendulum of a grandfather clock is 1.0 m long. Whatb pj aosr 6;9nle( +bbrhff+70 is its period on the Moon where the sbrl +6aj0nbpf;r 9b f+eh(o7 acceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists ;zq/a wifs*n8aft46e uc0 qon .aon0.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 resulted if a 0.50-kg mass (same diameter sphe qe.nao;0ai*/.q s 8fwznf0otu c4an6re) had been attached to the string instead?

A simple pendulum conam :e c mz45d+90 )xt-(lvkeotvby3dqsisting of a 20-g mass has initial angular displacement of 8.0e. It oscillate-me qtoykx)tm0zcveb:45 9da3 +( lvds 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 time. The frequency of ther 2c8pbd+h5l k wavc+ p8r d5hlbk2e is 120 Hz. What is the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given time. The f65k eid+q:bv vrequency of the wave is 120 Hz. Whqk: b5 ved+i6vat is the wavelength?

  Figure 11-2 is a "snapu7lvr)smzp*qptl y;he6 ;g7;shot" of a wave at a given time. The frequency of the wave is 120 Hz. What is the wa* g;m6erv;l 7tps7 ) z;qlpuyhve speed?

  What is the frequency of a wave which has a perio-uzt7ua5hz zs */:u zbd of 6.00 ms?

  What is the period of a wave with a frequency of 15s pnvsovr-;5ml8 (f /d00 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz anovbap, 3g1 zt-d a wavelength of 3.0bgtoa-vz 31,p m?

  What is the velocity of a wave that has a wavelength of 3.0 m and a frequency ofd)tkk cm - -f4hva gs-j6t71ba 12 Hz?da km)b h-c4 j-t-kafg7v s6t1

  What is the frequency of a 2.5 m wh6fg(*js: r lo 3yl2zlave traveling at 1400 m/s?

  A piano string of linear mass density 0.0oyqkbulbg6n4 6b15)i wk0,fn 050 kg/m is under a tension of 1350 N. What is the wave sp)qbgw 6 b 5iy olknfn01,64bukeed?

  A string of linear density 6.0 g/m iszo68za2lbs u2 under a tension of 180 N. What is the velocity of propagation of transva2b6zz sl2 ou8erse waves along the string?

A wave whose wavelength is 0.500 vev ohpd n/m16b)5bu1 m is traveling down a 500 m long wire whose total ma1m)hp nb6odev v1/ub5 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 a transverse wave on a 2 nn4 puwqzkzi4il/: w5in35 )e.0-m long string fixed at both ends is 200 m/s.4n: w5/in 3qin4kie5zupz)lw Which one of the following is not a resonant frequency of this string?

  If a guitar string has a fundamentals0toc)c o 0xm/8w(im n qh/or2 frequency of 500 Hz, which one of the following frequencies can set the strim/ctn8io h( s00)qmw 2crxo/ong into resonant vibration?

  A stretched string is observed to have four equal segme6*kbhjsqwl 4;tj;k/ kr +b3k mncaf -8nts in a standing wave driven at a frequency of 480 Hz. What driving frequency will set upkbqjkbk;tkn6;srw4*8mfj c3 a+/l - h a standing wave with five equal segments?

  A string, fixed at both eb; qt1,y(*zc,w::adu 6pjik; wk ia8z+ zrggznds, vibrates at a frequency of 12 Hz with a standing trkiz+i6ab:1w;zu, (t c:wg ,zgdprz j; *qaky8ansverse wave 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 9r48hu,thje j go)-ylee,/y1fo: ynjg/m is under a tension of 20 N. What should its loe4 rueythy:9 n,8j -f yj/, ehg1j)olength be if its fundamental resonance frequency is 220 Hz?

  Find the first three harmonics of a string of linear mass v2w*5seg rye p 8bow./density 2.00 g/m and length 0.600 m when it is subjected to tension of e* 5yw/2r8gb .psvwoe50.0 N.

A string of length 2.5 m is fixed at both ends. When the string vi0. blz xhvajv*)g+x6szj w/j*brates at a frequency of 85 Hz,zsw l zj)+j*a0vxgb.6jx/ *hv 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.