The time for one cycle of a periodic pzyo fagvu-h dcn.3q35qda;9- 50qrhy* hdte:rocess is called the

  For a periodic process, the number of cycles-nt-k+t urcr;:ib 4mn per unit time is called the

  For vibrational motion, th51cb. o 1hj-lwh vlxp3e maximum displacement from the equilibrium point is call1 oph-hbw jllcv1.3x5ed the

  A mass on a spring undwk,2 )+ :/tw4 jaw 2prqakmoatergoes SHM. When the mass is at its maximum displacement fro2 w:4+wr a,jmt)koapq/ ka t2wm equilibrium, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass pao/4u- 3n-upk8n,p 5a scqhdf amad7.zsses through the equilibrium position, n q.u5-8anp4/u,df7dk mcph-3a os azits instantaneous velocity

  A mass on a spring undergoes SHM. Whe9 nwe jy6y+cgew+:-len the mass is at maximum displacement from equilibri+yy6 wene9lj-gwc+e :um, its instantaneous acceleration

  A mass is attached to a vertical spring and bobs )2fxy*g kt l)h qv..bcup and down between points A and B. Where is the mass located when its kinetixl)2v gbqh. k*.t fc)yc energy is a minimum?

  A mass is attached to a vertical spring a/ei;njxhm9 tm o3u*i ,nd bobs up and down between points A and B. Wje m/mh *9inu;t,x3io here is the mass located when its kinetic energy is a maximum?

  A mass is attached to a vertical spring and/ jgsh40 ne78l(glpgp bobs up and down between points A and B. 0 eg4(psl7 jn/8 gpglh Where is the mass located when its potential energy is a minimum?

  A mass is attached to a vertical sprii bsumg w t 8bg78.3uf2yj-vx*ng and bobs up and down between points A and B. Where is the mass located when its pobfgg7u- x 8u. *3 y2itvws8mbjtential energy is a maximum?

  Doubling only the amplitude of a vibrrlfv)k twm)4 5ating mass-and-spring system produces what effect on the system'sl)rv54k wmt )f mechanical energy?

  Doubling only the mah7 ,8rmhcr)ekg5mu2d ss of a vibrating mass-and-spring system produces what effect o7k d m8hhc) emrrg2,5un the system's mechanical energy?

  Doubling only the spring constant of a vibrating mass-and-spring system proj3k8 6b5 f/yl 3jv 4otaotsh:om6l4yoduces what effect on the system's mechanical energyb jy o os5/h8ofymta4 v3l6o6:jt3kl4 ?

  A mass oscillates on the end of a spring, both on Earth and p: eu4t psm, e0)69tqjqock-pon the Moon. Where is:,9)6jt epocs q-p 4upmke0tq the period the greatest?

  Increasing the spring constant k of a mass-and-spring system g,6fdl-li.-x bueuf/causes what kind of change in the resonant freque,f xl dubgfl.u/e-6i- ncy of the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring p13ayh7 qu*bvsystem causes what kind of change in the resonant frequency of the system? (Assume no change in the system'hyv*1u qb73a ps spring constant k.)

  Increasing the amplitude of a mass-and-spring system causes what kind of changed,cwmf+j 9eqk1k cmf3h;wb6 ogz69 c. in the resonant frequency of thfm9oe9k .j,dcwbcwm+g ;61qc 3zh fk6e 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 of a ;eg 7bxgbv3y tp6,,qw:c ,xf ngv*mk4 mass M attached to a weightless string of length L. For this system,kx, mbw,;gve ynqtf c,p:3b 4* gxvg67 when undergoing small oscillations

  When the mass of a s.ftrt*t e /i1qimple pendulum is tripled, the time required for one complete vibrati /itqr* ttfe1.on

  Both pendulum A and B are 3.0 m long. The period of A is T. Pendu6gj 4*jdgpzmd wn) * e+9sze4olum A is twice asp4n*g)4g+e*d s 6dzj9ezo wmj heavy as pendulum B. What is the period of B?

  When the length of a simple pend,:bkkhdg0fw8,q qz +xyu3 wq. ulum is tripled, the time for one complete vibration inqkbzfkuy qd w,w0gqh :83 +,x.creases by a factor of

  What happens to a simple pendulum's frequency if both i(7av1j0w rkw(o /d tvjegpu94h+ c: s8xbk gu-ts length and mass are increagh1 w8ts(j r-vuxcwegb vod9u 0k/kp4+a:(7j sed?

  Simple pendulum A swings back and forth at twice the frem)td) z:c27e(q8abe59u gg 4bei fckyquency of simple pendulum B. Which staf z8ci dk b)cg9yet4mg :2e()aeq75butement is correct?

  If you take a given pendulum to the Moon, where the acceleration of gravity is lv46ebmh 3/ qs/ -ux6y4ajopyaess/ m43 yj6ue/a xhoqp bsa4v-6y than on Earth, the resonant frequency of the pendulum will

  Curve A in Fig. 11-1 repr,)0y9d ac,omjyj 7hvnesents

  Curve B in Fig. 11-1 representspbtq3j2o8on3o d+z4v

  Curve C in Fig. 11-1 represe ct8l baw +(,1v8d:vsbv1p daj52rxfgnts

  For a forced vibration, the amplitude of vibration is found to depend on sh5 omw07oa 1/)wx menthe

  In a wave, the maximum displacement of points of the wave fr54cwji4hv.uqo3wx-/ f( epnf ez jo, *om equilibrium is called th(,ffj 5evwq4.34ho cxeu* /jpnzi w-oe wave's

  The distance between successive crests on a wave is called tkjg0qroqn, 5 *he wave's

  The number of crests of a wave passing a point per unit time is*skp* bag,o)93xuv y a called the wave'oaavs3* ,yub)xg9*k ps

  For a wave, the frequency times the wavelength is the waupizk;n2 i 8l-ve's

  The frequency of a wave increases. What happens to the distance between succesqu8q 3g5v;fad sive crests ifug ;daq 3v8f5q the speed remains constant?

  A wave moves on a string with wavelength l and frequenc zmlk4qxx,y ./xjp)3)c2o goey f. A second wave on the same string has wavelength 2l and travels with the same velocity. What is the frequency ofq4xxc,kgo p)jxo/ . l)y2mz e3 the second wave?

  Consider a traveling wave on a ywr094wagp9 vstring of length L, mass M, and tension T. A standing wave is set up. Which of the following a wp04wygv99ris true?

  A string of mass m and length L is under tensio acxxy/ju xnf(dr+o ep/-- b38n 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 sf nbp( ad8e jo-xxy3+x-/rc/utring is increased to 2m, with no change in length?

  A string of mass m and length L is under tension T. The speed of a waveta 7 sff,nm3b* in the string is v. What willa b7f,*s3 nfmt be the speed 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. Th) vwxw 3y 0xdchdf *qmq225)vhe speed of a wave in the string is v. What will be the speed of a wave in th2y2x 3cmf q* x v)wq)5dd0vhwhe string if the tension is increased to 2T?

  In seismology, the S wave is a transverse wave. As an S wave travels through th bnh;/x-:mxfcs0:mwt9 8hz/s *ao nlfe Earth, the relative motion between0*/nhx lza8 m omf/:;stcnfw9bx:-sh the S wave and the particles is

  In seismology, the P wave is a lo0) tz) 3fglqiungitudinal wave. As a P wave travels through the flzu)3t)0 igqEarth, the relative motion between the P wave and the particles is

  The intensity of a wave. cur zf*/.+zy jg(oud is

  A wave pulse traveling to the right along a thin cord rez- 3- jgoh 8ermndg(x.aches a discontinuity where the rope becom(g-r.mng z8jeo3 x hd-es 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 sgfywox+gy6qve* y8 26hn 6t5 ltring, one is traveling toward the right and the other toward theeg5*g6yt8xw 6q6vo 2hny fy+l left. At the point that they occupy the same region of space at the same time

  Two wave pulses pass eac 4 /:9v ve:y eh.u-: qeim5nep i*;t0yxnffmczh other on a string. The one traveling toward the right has a positive amplitude, while the one traveling toward the l:iq 4nm/fvyn 5c h-0mvie:fxe*; uty9 ee zp.:eft has 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 string fixed at both ends, o38yfcoigl 8xpqv64dftr;0 e7ccurs when

  If one doubles the tension in a violin string, the fundamental frequency of tjiv fd9evbr+2 6q p09khat string will increase by a fact09brvf 6jq9evp k+di2or of

  What is the spring constant of a spring that stretches 2.00 cm when a mass on/er2rfrd c- /f 0.enrfc dr//2-r600 kg is suspended from it?

  A mass is attached to a spring of spring constanaz*o 24,v zt 7svmso5pt 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 g2mvvzz sp45ao*s7t, oo back to its equilibrium position when it is oscillating. What is the amplitude?

  A mass is attached to a spring of spring constant 60 N/m azd67 78htr)ei ;dvqnt long 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 oscilladrtn d;thi)67z e7q8 vtion?

  A mass is attached to a sprin u( c,4gkvir(tg 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 equilibrium position when it is ok(v(cg,4t ur iscillating. What is the frequency of oscillation?

  A mass on a spring undergoes SHM. It goes through 10 complete oswpxei 1 ifkzk7v+hvtv/33/ )bcillations in 5.0 s. What is the perzv3/ie)1kv v i/3 p7kb+xfwhtiod?

  A mass vibrates back and q y)1+ru;ncxku,) v zbforth from 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 wheuvy+c ;)) xbnr kq,u1zn it is 0.30 m from its equilibrium position?

  A 0.50-kg mass is attached to a spring of spring constanxk4o 0vvq k0vzn-i 06i- *usect 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmqu0 v0-xvo0n-6*ki ie 4kz svconic 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 w4:hnjky d/-s pt7wu ib l;m+;nith amplitude 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 +uyn4pjd: k ;;lb-nwh tsi7m/amplitude 4.0 cm. What is the energy of the system now?

  A 0.50-kg mass is attached to a sc )topy 3cez8pc61f 1y8jr9 lppring 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. What is the ampli181yplcyc9p zj3 ef) r8tp6 octude of vibration?

  A 0.50-kg mass is attiilf8:42j jyt ached 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 1.5 m/s at the equilibrium position. Ayij:l2 t4ifj8t 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 ln 50jw0) 8rnedl6pjn constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. Whalrl8j e )nnjp 00dw6n5t is the total mechanical energy of this system?

  A 2.0-kg mass is attached to the end of a horizontal spring of sprisu k28/u bq vh,r/g hl)/h-wting constant 50 N/m and set into simple harmonic motion w /gut)rls / qhhv8ihw/ub2,k- ith an amplitude of 0.10 m. What is the total mechanical energy of this system?

  A mass vibrates back and forth from the f;i*( p,lxlh hzree end of an ideal spring of spring constant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kine zl;l(ih p*,xhtic energy of this vibrating mass?

  The mass of a mass-and-spring system is displaced 10 cm fr/(taxrc9io)-gd wydoj54 k5 rom its equilibrium position and released(oy54 d-i59dxkrcaj o/t w)gr. A frequency of 4.0 Hz is observed. What frequency would be observed 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 cons2qztxdxsd4. 5-kl9lb tant 10 N/m. The object is dispx s b4zd.9kqt25xldl-laced by
5.1 cm from the equilibrium position and let go. What is the period of vibration?

  A 4.0-kg object is attacm ptsw jyb: tpsp,x6v/+do /99hed to a spring of spring constant 10 N/m. The object is dispbtstmx/pj o, dw:y/p p+ 96v9slaced by
5.1 cm from the equilibrium position and let go. What is the frequency of vibration?

  A 2.0-kg mass is hung frl 800vnh /w tmwg9b8on-xcv6ybhid36+ ,vtgzom a spring of spring constant 18 N/m, displaced slightly from its equilibrium position, and released.lvwwt/06 t+ 6 zgm,vbx9y8o8v-cdngnhb 0hi3 What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequency of 1.27*jt;s y k716ebw9g79se.fqzgz /i sva Hz when displaced a distance of 2.0 cm from equilibrium and released. What is the maximum velocity at 7sg*1yfkz;w96tbq e ijs 9z/.aegsv7tained by the mass?

  Two masses, A and B, are attached to different1x0b dl1da:r o( m/red springs. Mass A vibrates with amplitude d1rb /eod:1( armdlx0of 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 equilibrium the mass stretches the9*d.205mm ywkqgw e ja spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and released from rest. Calculate tw m g9 eajyq.w2*5dm0khe period of oscillation.

  A 0.30-kg mass is suspended on a s 22 (fje (3)dcbtdjytr b6i/dxpring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass ixe ) d6ddbyj(jf( b /2rc32itts then pulled an additional 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 thlq/duw2 q9n9be mass stretches the spr/w9 qunqbl92d ing 2.0 cm downward. The 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 mo lrqb*e lvp wai;u-njifb3 k; 114,,krtion obeys the following position versus time equatv,e nbqlr,;uk r3 fp-*lab ;j1wk41i iion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmono:lq bp v+ g1tx2r gn;nfs;0t;ic motion obeys the following position versus time equat grognvqf;2:1s;0+t x ;nplb tion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the fo.m gvk(j9oms-, dozm; llowing position versus time equatio(k vmm,. ;m-oj dg9oszn:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple harcb)6o) jie+er monic motion according to the equeeb+6r)ji )ocation $y = 0.50 \; \sin (18\pi \times t)$ where y is in meters and t is seconds. What is the period of vibration?

A 1.5-kg mass attached t6hpk yz3)6mcc; pwr, ro spring with a force constant of 20.0 N/m oscillates on a horizontal, frictionless track. At t= 0, the mass is released from rest at x= 10.06cmrpw, yk)phr c3z;6 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. ( l/d yvkvgrqb2-5yqfzal *-:( a) What are its frequency and pev:q-vl(y-bzk5dyraf 2/l* qgriod on Earth?

  A 3.00-kg pendulum is 28.84 m long. What is its perik5c 9t5l 90b7 zsomvx (s)hdwbod on Earth?

  A pendulum has a period of 2.0 s on Earth. What is ig r;le+ 12uihfts length?

  The pendulum of a grandfather clock is 1.0 m long. 0gg2mvi hb:1jvu07 sgWhat is its period on the Eart2m0 7ug1 v:hsgjbi g0vh?

  The pendulum of a grandfather clock is 1.0 m long. What s 59 )1vgo5nebi;zgrynm:6ij,rdd-vis its period on the Moon where the acceleration due to gravity is only,do-1i5 vg d6mrb;) 5j yz:gine 9nsrv $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attached to a madiuv;d ;m(p w;ssless string. When the mass is displaced slightly from its equilibrium position and released, the pendulum dwv;m; updi;( 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 of a 20-g mass has ini u9 e1vbefw 9h89rnj/*j7hnw ltial angular displacement of 8.0e. It oscillates with a period ul9 *hrn1jev w98n9h / wjfbe7of 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 giv)v)3i,qc5qg0d;p rb oojr0 yyen time. The frequency of the wave is 120 Hz. Wha) y 35o;,rjcqo driv)q0 pybg0t is the amplitude?

  Figure 11-2 is a "snapshot" ob 0kh3( rjw(gjjyp 9g;f a wave at a given time. The frequency of the wave is 120j(j9 g3wbkpyg (j0hr; Hz. What is the wavelength?

  Figure 11-2 is a "snapshot" of 7gxhw f)lc o72tg408 nsaq-oix;ey wm)/kz(r a wave at a given time. The frequency of the wave is 120 Hz. What is the w-fs87mog/o)qxl y ;(2ten7) gwxkric4zw h0aave speed?

  What is the frequencym/x my 28.*tv+rmudi sl/lu;k of a wave which has a period of 6.00 ms?

  What is the period of a wave xb:k +l,sa 3r 0q quggn,clonwl/(5q(with a frequency of 1500 Hz?

  What is the wave speed if ht xsv,5/)xc1 0w poyva wave has a frequency of 12 Hz and a wavelength of 3.0 / 0x wtvh)1 o,5svypcxm?

  What is the velocity of a wave)y(m7,:a:gd mr9lgoz-7j rkm y;o cnl that has a wavelength of 3.0 m and a frequency of 12 Hz?o:-cry 9lg)mz7a,7odj;kg lrn y:m( m

  What is the frequency of a 2.5 m9 se l0nxr,imaimgv;k j572;s wave traveling at 1400 m/s?

  A piano string of linear m8drpnya k 5p7 ezt oi2nq;26hj .3dzj1ass density 0.0050 kg/m is under a tension of 1350 N. What is the wave speedan r6od 32 pe2 5it8kpjnj1yzh.z;7qd?

  A string of linear densitgmw+.1*p m6,fswsx zjy 6.0 g/m is under a tension of 180 N. What is the velw gzm x,6mwp1jfs+*.socity of propagation of transverse waves along the string?

A wave whose wavelength is 0.500 m is traveling7itn4 7mb1aikc(v v1z,3q+xtu zklj6 down a 500 m long wire whose total mass itin3 lk177 zbmaz,vt k1q4u+x 6(cvjis
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 propag-49pthc 8tn/ *xdx dxjation of a transverse wave on a 2.0-m long string fixed at both ends is 200 m/s. Which one of the following is tjp -9xxtxh*8/ n4dcdnot a resonant frequency of this string?

  If a guitar string has a fundamental frequency of 500 Hz, whichh yrgz/:j+7at one of the following frequencies can set the string into resonantyhr zt:a j/+7g vibration?

  A stretched string is observed to have four equal segments in a standing wave d6 g+v95inqx edt:cphvw8en)+riven at a frequency of 480 Hz. What driving frequency ev+hxn59 e+v6 ci :qgntwd8p )will set up a standing wave with five equal segments?

  A string, fixed at both ends, vibrates at a frequency 8tnjhrq 0*qn* v):p ffof 12 Hz with a standing transverse wave patterfr:n*q tv)np8h* qf0 jn containing 3 loops. 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 3f/q dhoom ,s)should its length be if its fundamental resonance fre m),oo3h f/qdsquency is 220 Hz?

  Find the first three harmonics of a string of linear mass density 2.00 g/m and l hps3*jq ; abhb*ow)f0ength 0.600 m when it is subjecteb ojw;a h3*b )0q*fhpsd to tension of 50.0 N.

A string of length 2.5 m iswif;m+u sud+;afph:h a5)gcu h1 d-l( fixed at both ends. When the string vibrates at a frequency of 85 Hz, a standing wave with f:u fc;;1ldgp+)5+h maw adfs(huhi - uive 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.