The time for one cycle of a periodic process is calle*q oez:f7i :o8zq gi: )je6zfat9;g ped the

  For a periodic process, the number of cycles per unit timef8*mg(diq bsvg:. pj7 is called the

  For vibrational motion, the maximum displacement from the equilibr l3bc.sg,u k3mium point is ccs.3ml3gb k,ualled the

  A mass on a spring undergoes S sw,lb5i y-l w)7 +y0 duv-rwvn. w;lmebf8w.bHM. When the mass is at its maximum displacement fromw,b8rln-yw-ub0 dv; lw..7wywis+ev5 mb lf ) equilibrium, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass p d2.ff dedd9xesxh+x*-m f0f3asses through the equilibrium positi-e fxxd9f2f0ddem+.3hdf* s xon, its instantaneous velocity

  A mass on a spring undergoes SHM. When the masspnnu 037bnv7l2jn e(mgee* b n jwvg44w2h+f: is at maximum displacement from equilibrium, its instantaneous avhlb 7nvgumb f+n3w74(2nn*ew e npjj: 2ge04 cceleration

  A mass is attached to a vertical spring and bobs up and down between pox8f3 ;wqs bb;i vr,8zzints A and B. Where is the mass located when itsqf;v8bx3sr,w8zi z b; kinetic energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down be+x:g8ooekj5ee s+ y v,tween points A and B. Where io,8o:5+sgey ekje+xv s the mass located when its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up and down between points A anrzod l1b9 )g5+t:(ss o q/xjptd B. Where is the mas9tb o rl( +/j s)1gszxo5:pqdts located when its potential energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down bk op6rl4a *3)ez4 zdusetween points A and B. Where is the mass loca d o4lp6)u 34*azrezskted when its potential energy is a maximum?

  Doubling only the amplitude ojn8 6q +k4 .qn;lhxab 3u-bu iejv:x)nf a vibrating mass-and-spring system produces what j4 8)ukixl3:nh6vqnb;b+n q-aj.uex effect on the system's mechanical energy?

  Doubling only the mass of a vibrating mas o;7faj1if v3rtd4,p sx )mnt3s-and-spring system produces what effect on the system's mechanical enf3dnfm,3j; t1v 47px a tr)isoergy?

  Doubling only the spring constant of a vibrating mass-and-spring system produces,snr3i-gwdxav 3h pw2 wfp3) 2 what en3, g3)pv2rwhw2adf-ix3p wsffect on the system's mechanical energy?

  A mass oscillates on the end of a spring, both on Earth and on th3otoz42t 1uozc84// qz8t mw bjlkiw/ e Moon. Where is the period the gre2izk4w//ou8z81/mt jclwb3 qt 4to z oatest?

  Increasing the spring constant k of a mass-and-spring system causes lg0jfu6)m et jwgv71 *what kind of change in the resonant frequency of the system? (Assume no cha)l*j fgem1 ju07g wtv6nge in the system's mass m.)

  Increasing the mass M of a mass-andc z ea8g 9.-u0w-sxgd ft*c(hh-spring system causes what kind of change in the resonant frequency of the system? (Assume no change z-dfxu-c*ewts0(hg hca9g.8 in the system's spring constant k.)

  Increasing the amplitu qea*dn; :*qix2il+pmde of a mass-and-spring system causes what kind of change in the resonant frequency of the system? (Assuql;ne2p +iq *daim:*x me 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 mass M attached to a weightless ;7)g2ncnh 6nym ww(ls string of length)(;l wm76ychswn2 ngn L. For this system, when undergoing small oscillations

  When the mass of a simple ag ujr5zi 9 al2l+ )tymh8q4)ependulum is tripled, the time required for one complete vibratiou8il+zy r92 m )aaq5g4t hej)ln

  Both pendulum A and B are 3.0 9 8ycsdsg5wf( m long. The period of A is T. Pendulum A is twice aw scy9g(8ds5fs heavy as pendulum B. What is the period of B?

  When the length of a simple pendulum is tripled, the time for ondg4 6.ny2wien* ;jhfs e complete vibration increases by a fajiw642fyh s .eg*n d;nctor of

  What happens to a simple pendulum's frequency if both its length and m5 7 ;:endi;az x yom2hmq)at8zass are increased?i )qm5: dzm;y2 o7tha;8aenzx

  Simple pendulum A swings back and forth at twice the frequency of simple v)) +rvxeqx: soi(+ayf9 z;hcpendulum B. Which e+hfv xzr) ;xa+9oy) i :v(qcsstatement is correct?

  If you take a given pendulum to the Moon, where the accydq,8 7kbs w7d*a+q;qdchzv -eleration of gravity is less than on Earth, the resonant frequency of the pendh yb*7;8 dqqvz7d- scw,qkad+ulum will

  Curve A in Fig. 11-1 repreyfjf +.2qxan; sents

  Curve B in Fig. 11-1 represenh/c aql o55de6 +uooi +d3gv/wts

  Curve C in Fig. 11-111d,x10o,uq hmkewe) )-sv-lln r fwb represents

  For a forced vibration, the ampkqyi*ord8 v gj8 qpoz.k b01+9litude of vibration is found to depend on the

  In a wave, the maximum displacement of points of the wave from equilibrium kk,0 3zdgh*khx wo.2f is called the wavf ,hkd3o zwkh0k2g.x*e's

  The distance between successive crests on a wave ieqpuy l g4,;ti: yyi)9ix*q;gs called the wave's

  The number of crests of a wave passi qf py g9y)g3pe3*ylpu35gsm5 ng a point per unit time is called the wave'pm5 ygs e* 93pl3pfg y53qy)ugs

  For a wave, the frequency times the wavele+ g pn5:m/sguuh.g hg(ngth is the wave's

  The frequency of a wave increas tgmv*9sr za+uw .1a 8/rpd)ig,2xyvp es. What happens to the distance between successive crests if the speed remains constant?r 8pa 9std uy+m2ai,)rzwvp1xg. /*g v

  A wave moves on a stwr05rm; rp m.lk.e0niring with wavelength l and frequency f. A second wave on the same string has wavelength 2l and travels with tl0.rr5pw i mrne0.mk;he same velocity. What is the frequency of the second wave?

  Consider a traveling wave on a string of length L, masicv)9zjoww2 .qc pz2( s M, and tension T. A standing wave is set up. Which i 22 .wwzz(v9ocp)cjq of the following is true?

  A string of mass m and length L is under tension T. The speed of a wa b1rb 2s knepg)h ay-lvk;uy5387kqnm(dfw 1;ve in the string is v. What will be the speed of a wave inkq bh 58pnwlvsyd1fk(au7 -eyr;23nk) m;1b g 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 T. The spe5ukwq q3k0( n61b hkpaw kva)0ed of a wave in the string is v. What will be the speed of a wave in the string if the length is increased t 5hwb0wv36)knp 1kkkqaq 0(u ao 2L, with no change in mass?

  A string of mass m and length L is u u9/-rcd91iw(gtmj lb nder tension T. The speed of a wave in the string is v. What will be the speed of a wave in the string if ther( t9bmjdl1g9i/uw -c tension is increased to 2T?

  In seismology, the S wave is a transvers vms+1etf08sne wave. As an S wave travels through the E0t fsvemsn81+arth, the relative motion between the S wave and the particles is

  In seismology, the P wave is a longitun0l;/snq d 2w0(y0.qkcfkxy;kcc r (ndinal wave. As a P wave travels through the Earth, the relak knkn/ xydlc;w(n0y0sq( q r; c2.cf0tive motion between the P wave and the particles is

  The intensity of a wave i4y m;,ni-qsbgs

  A wave pulse traveling to the right along a thin cord reaches a discontinuity whq )cc5mnl61 htbe/;glere the rope becomes thicker and heavier. What is the orientation of the reflected angqt/ll c mhnec65 );1bd transmitted pulses?

  Two wave pulses with equal positive amplitudes pasw herw 61n0qql5rpr; r8ni8s1s each other on a string, one is traveling 0q;q i 81wrerl wns61h5r8np rtoward the right 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 toward the ri;da xuwe73b-80dk nue3mqm,qght has a positive amplitude, while the one traveling toward the left has an equal amplituxew7nd ,qm-d kb u3a8;u3me q0de 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 fixeulyqoe24nd1 e. ih8 7nd at both ends, occurs when

  If one doubles the tension in a violincz,.xwj0wm r * string, the fundamental frequency of that strin xw,wjrm 0z*.cg will increase by a factor of

  What is the spring constant of a spring thx8bn1x dj6 h2xi;bftic1 -7 d.t4w/vi7zeyrt at stretches 2.00 cm when a mass of 0.600 kg is suspendedvtyi-614 ;ht xdxzjf7 tn/xc28w e.dr1i7bbi from it?

  A mass is attached t39bsuot +rtk. (er4umd j )n2uo a spring of spring constant 60 N/m along a horizontal, frictionless s+32 j(u4)ruun. kset bordm t9urface. 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 a sprin(hjgbo4n 8 9*qpp hwc wna9./lso k1g8g 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 oscillating. What is tqh1lhpon( js9* aw8bg9k/cpwg .n84ohe period of oscillation?

  A mass is attached tg1vy. -cen o)co 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. It takes the mass 0.50 gce-vc.1no)y 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 oscillationsb l.z94m7hr w m,tzvnkp1nb++,ned n8 in 5.0 s. What is the+ vl7.p9nnnb1rmmz e, nkz 4h+ b,dtw8 period?

  A mass vibrates back and fortq67 ix ux*dsb0ex(,aoh from the free end of an ideal spring of spring constant 20 N/m with an amplbq, su7e(d0xx6i oax* itude of 0.30 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 attk evw8bw(x ic83+ 6xotached to a spring of spring constant 20 N/m along a horizontal, fbwv3x6wo(+ e ix 8t8kcrictionless 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 wi go ycwr kenjsa9of6s u84s794 a-d.7cth 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 amplitude 4.0 cm. What is the energy of the system yg46sfdako7.8u e-sn a9c4j7cw 9 osrnow?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m along a horizonzs55 ad *xs85xridtk4tal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s at the equilibrium position.8tx5krdz45s5*d s axi What is the amplitude of vibration?

  A 0.50-kg mass is attach ltau32x.ixp 5+l6uc6dkj2 ooed 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 1.2 6t6llx .pauoj3ox+k2cd ui 55 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 s )2 cjt6 .qgjql:f i8 tct,rpo.ivti37pring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the g26.7rojt3,v i q8fccpl .tjttiq: i)total mechanical energy of this system?

  A 2.0-kg mass is attached to the end of a horizontal spring of spriv vuy0dctz;bj07f+ (o1sh n8bpf:qo8ng constant 50 fhyn cfv sb(+8q0z;t8jo0ub1: 7d op vN/m and set into simple harmonic 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 ang,84r,t i+:gkyqls 9 tsr0o vp ideal spring of spring constant 20.0 N/m with an amplitude of 0.250 m. Wqlsg:y,98,rr 4igv p 0sto+tkhat is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring syste5cje/ 2qa njs .z,6qgwm is displaced 10 cm from its equilibrium position and released. A frequency of 4.0 Hz is observed. What frequency wou2jwazs j,ce q6q.5gn/ld 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 constant 10 N/m. s-w.fps8a 6soThe object is sswp8-6.fo asdisplaced 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 spring6s6yq mmwh8y ygnl .o;j 72usai dn0+) of spring constant 10 N/m. The object is dqw;s)dm7m 8y 62yh0iyo6suajlg.nn + isplaced by
5.1 cm from the equilibrium position and let go. What is the frequency of vibration?

  A 2.0-kg mass is hung fr(ulf/ag8it.z3p/mls 2p8m+( iq x.nmdv-e chom a spring of spring constant 18 N/m, displaced slightly from its equilibrium position, and released. What is the frequency of its i cq.lp8m(3z x+v-h d.fmp ul m eagi(/snt28/vibration?

  A mass is attached to a spring. It oscillates at a frequency of 1.27 Hz whe 4 p:rg/2 fxc/shoehn8n displaced a distance of 2.0 cm from equilibrium and released. What is h cgxe /p8rhos2:n/f4the maximum velocity attained by the mass?

  Two masses, A and B, are attached to different springs. Mass A vibratb,g oz(i6ul6 cpvu) 1ses 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 speed of A compare to tos1 z,66gv(pi )luub che maximum speed of B?

  A 0.30-kg mass is sus: f n)*ebq j4z;rrislei/xu3 )pended on a spring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an add3qn 4 s/bxi)e rrjliuzf):e;*itional 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 mass 3o n-mlmn;qg dq6)eg5stretches the spring 2q6gom n5m-;l e )3dgnq.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 system.

  A 0.30-kg mass is suspended on a spring. In equilibrium the maqrnl)e w n.*p3u um6)oss stretches the spring 2.0 cm downward. The masswonmu .)uq3r)np6*e l 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 harmonic3)1qxjucs;+- f6fywcgbil / d motion obeys the following position versus time equ su/ 1;jylqb3gw)ccfd-xf+ 6iation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys th*qumt*6 i oel+e following position versus time equati*qto 6eli*+muon:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obwh;; *zhotab ql5+0 pceys the following position versus time equation5;ha lhpq;cwo +z*0tb :
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end o k /hatjyyuyyed2mvjmmv; + -tpe8/i-.g092jf a spring executes simple harmonic motion according 20y 2at9kehm ;uivjjd 8jtm -eym/g+y .y-/pv 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.,+ ji v(it2xdht2v v1fjqz:( il7 lov,0 N/m oscillates on a horizontal, frictionless track. At t= 0, the mass l :ixv lfzt2j(o ,qiiv+1v2,7t(dvh jis released from rest 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 lwgk- 1j r:i;n8.0 s. (a) What are its frequency and period on Eart 1-ikl:w;jn rgh?

  A 3.00-kg pendulum is 28.84 m long. What is its opw8 k oe+.nx4period on Earth?

  A pendulum has a period of 2.0 s 3 j i-axjfaaa 6:4kdg82ven4j on Earth. What is its length?

  The pendulum of a gr 8gjy2i4 zyxp9andfather clock is 1.0 m long. What is its period on the Earth 84yg2z 9pyxij?

  The pendulum of a grandfather clock is 1.0 m long. What is its perio+j8v*sfq xo z58ic 23 cdoj w3kb/dru*d on the Moon where the acceleration due to gravi* o8x5vq+i2oj/dd j3f3ruz csk c*w8bty is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attached to a me t3z)t j1/.mo46 evqbsgjvt9 assless 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 ifg6z o tv4b9.1teqt) jmej/3sv a 0.50-kg mass (same diameter sphere) had been attached to the string instead?

A simple pendulum consisting of vqn)ad r(g6yboh116y a 20-g mass has initial angular displacement of 8.0e. It oscillatesy b6qa n 1hygv(ro1)6d 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 fre u7jqpo4:ql* jquency of the wave is 120 Hz. What is the amplitq: 4q7jl opuj*ude?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency of thed,2o)ebcvjk*yos. f5 yy. hn; wave is 120 Hz. What is the waveleny5. ydv2hcyofe*)kn,s .b;ojgth?

  Figure 11-2 is a "snapshot" of a wave at a gr e:t5( d5wwf1x q:pqsiven time. The frequency of the wavsdw5 5(rftwq:e1:qpx e is 120 Hz. What is the wave speed?

  What is the frequency of a wave which zxd2dt rv1a i g8n)f9:has a period of 6.00 ms?

  What is the period of a wave with a frequency of 1500h1nmb ft t :c-vwhn21v0 d;2pg Hz?

  What is the wave speed if a miz70whz/ sh 9+xe xboe/pbiu31nl,zv ;sm94wave has a frequency of 12 Hz and a wavelength of 3.0 m ,; hoes9b34 nu/z+lpxhw e 0zzbm9i /v7x1sim?

  What is the velocity of a wave that has a5lkn i+ caj3+ b -gs)lynu2p-c sfw0zrh;3tv . wavelength of 3.0 m and a frequency of 12 a5j c.r+ ;hz)-g nsll +v3f2ts-ki w0pbu3nycHz?

  What is the frequency of a 2.5 m wave traveling at 1400 m/svrn8sl,h 7. 0pzwz ogjf2*kw/ ?

  A piano string of linear mass density 0.0050 kg/m is under a 80nivh/t,et o(0gz djtension of 1350 N. What is the wave n/tieogt( d8,h0z j0vspeed?

  A string of linear densit0 rkw,84bpfj6xyb / cty 6.0 g/m is under a tension of 180 N. What is the velocity of propagation of transverse waves along the str4rbk6c0,jxf/ b p8twying?

A wave whose wavelength is 0.500 m is traveliidnqg/9cak/ evs)9 kb,)i w, fng down a 500 m long wire whose total massdan) gfe ,wb,c)kv/ki9i/s 9 q 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 propag6pv v:+u9ck5oq7 dydsation of a transverse wave on a 2.0-m long string fixed at both ends is 200 m/s. W co p9yk:vds7v65udq+ hich one of the following is not a resonant frequency of this string?

  If a guitar string has a fundamental frequency of2t., hmx:tylu-wk)m 8 cg,z gvfg*(hc 500 Hz, which one of the following frequencies can set the string into resonant wt,zcv(u hgm2 c*-h:mt 8fkglx). yg,vibration?

  A stretched string is observed to have a sr(x-2yqs6zjc6-lh four equal segments in a standing wave driven at a frequency of 480 yq6s-6zrl ac j2sx (h-Hz. What driving frequency will set up a standing wave with five equal segments?

  A string, fixed at both ends, vibruc /zdh63 q 8tnq30bmqates at a frequency of 12 Hz with a standing transverse w3/8m3qcq 0buq6 zhd ntave 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 g/m is undeq 4yvl:9wwx+k8fo+k) q a4rt sr a tension of 20 N. What should its length be if its fundamex94wko+fw8k+ vst:qy r4)q a lntal resonance frequency is 220 Hz?

  Find the first three harmonics of a string of linear mass denwg75uy9 kzg)qu3hh9 j sity 2.00 g/m and length 0.600 m when it is5 k)9qhgzjw u9y7u h3g subjected to tension of 50.0 N.

A string of length 2.5 m is fixed at y:gdv4scpz*ic,rqgl*x w(/w 0* os g /both ends. When the string vibrates at a frequency of 85 Hz, a standing cy0wpc,4 / wlv/r*gs * *xozigg (sdq: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.