The time for one cycle of a perv8n7,x dm.oc aiodic process is called the

  For a periodic process, thev6xe p*tg. haq./-bg - d1 -mhdky1qnv number of cycles per unit time is called the

  For vibrational motion, the maximum displacement from the equde:lj0:2qk 6q o iwbm:ilibrium point is c0d2:lik:q mq6:je owballed the

  A mass on a spring undergoes SHM. When the mass is at its maximum displ-ise tt08avb ;/onj:d7bt+ khacement from equilibrium, its 0d ta7e;bs:kt iv/tb hoj8n +-instantaneous velocity

  A mass on a spring undergoes SHM. When th x3cscqd+5 . iscnna /7tltqay )v22(pe mass passes through the equilibrium position, its instantas (n3 +v2ccq2c7.t /5)naqxayst dplineous velocity

  A mass on a spring undergoes SHM. When the mass is at maximum displacem+ d :hzg5: i:lpzzda.aent from equilibrizg:zl5+iad: za: d.h pum, its instantaneous acceleration

  A mass is attached to a vertical spring and bob y u5v:d (x foxi7l7qseq;89scs up and down between points A and B. Where is the mass located when its kinetic energy is a minimum?x 7f cs:qlveq 7(yud5;isxo9 8

  A mass is attached to a vertic(:ndb (oykuu7 al spring and bobs up and down between points A and B(n(bouky7 :ud . Where is the mass located when its kinetic energy is a maximum?

  A mass is attached to a vemc-vi l3 yq,6k+jxj/bk+fzs+rtical spring and bobs up and down between points A and B. Where is the mass located when its potential energy is a minimum+,y jjkx zfq i/3-m6kbslvc+ +?

  A mass is attached to a vertical spring and bobsfrf/ys:uxc9d sz*/ e6 up and down between points A and B. Where is the mass located whe6* f sfcsyu/xdz :/9ren its potential energy is a maximum?

  Doubling only the ampnczx1 +h6l m* 5gvvl1l h*g:knlitude of a vibrating mass-and-spring system produces what effect on the system's mechv*klm*l g:g+hn l5c n1x1z6v hanical energy?

  Doubling only the mass of a vibrating mass-and-spring sygnu, qyxnfg e5 8jc26 -x9q7afstem produces what effect on the systxqa95yunx c82nqgeg -7f6j,f em's mechanical energy?

  Doubling only the spring constant of a vibrating mass-and-spring systemurwl7 sqx2uz)i - o35h produces what effect on the system's mechanical ener2w-u7h iq) 5zsr 3lxougy?

  A mass oscillates on the en *0edvqam l2:nd of a spring, both on Earth and on the Moon. Where isnle2 m*qav0 :d the period the greatest?

  Increasing the spring constant k)uuopftgj*4- wv rh2x.xf .uf1ad*q1 of a mass-and-spring system causes what kind of change in the resonant frequency of the system? (Assume no change 2uua*f*).dfqtg4wrxo-h1p.f 1 uj xvin the system's mass m.)

  Increasing the mass M of a mass-and-spring system cau:+ *ecmk2wch7ab;eorw)i)kfw 7pz0 nq b 4 j4oses what kind of change in the resonant frequency of the system? (Assume no change in the system's sprinkciwq4 0kw+z47 :)ea7w c*o2)obrf;jbep mnhg constant k.)

  Increasing the amplitude of a mass-and-spring system causes what kind of changi0q2vlvp0baa4 y )yw ,e in the resonant frequency of the system? (Assume no other changes in the system.)vw40q, yb0 y)a lvap2i

  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 str,iqi.b(, 7uk ejfxx *s+ ona*bing of length L. For this system, .xsejnbiax, ,o+7( fi b*uq*kwhen undergoing small oscillations

  When the mass of a simple f*qbh0/ f nccw1q3f: kpendulum is tripled, the time required for one complete viqf: n1q0h/k3wf* bfcc bration

  Both pendulum A and B are 3.0 m long. The period of A is w7bdtayeahb*;f x 2 dr( kt75g:n ab)-T. Pendulum A is twice as heavy7ad; gra(kbfa nxh)tdy5:*e t- 2b wb7 as pendulum B. What is the period of B?

  When the length of a sl tn/hf 1k v9;4;yh )dk*gmrdsimple pendulum is tripled, the time for one complete vibratigk/;dnldf*h k1 msr9t h;v 4y)on increases by a factor of

  What happens to a si dd c6kig3dpb///gfc*mple pendulum's frequency if both its length and mass are incrc3p d d/ggk f/d6ic/*beased?

  Simple pendulum A swings back and forth at twice the frequency of simplez z4(b)0s1*pn smzvgf pendulum B. Which statement is )gm (1 znb4fzsv0zs*pcorrect?

  If you take a given pendulum to the Moon, where the acceljxy9xheomox v,j2:8, eration of gravity is less than onxhjj8 2:m,vex,oy 9x o Earth, the resonant frequency of the pendulum will

  Curve A in Fig. 11-1 reprer0vlubyn 9 4; gsq3yx0sents

  Curve B in Fig. 11-1 repre nc)20k0gga zjzctnpkz7 0/3ysents

  Curve C in Fig. 11-1:* lioe: w +yvehttb:,9j .hlx represents

  For a forced vibration, p3+ +rptinjxh+32 bn othe amplitude of vibration is found to depend on the

  In a wave, the maximum displacement of points of2me gg wv-+nk*mbdjyv58bme( ; . )wge the wave from equilibrium is called thwg.jyked2 mg-8nb w;*m5vge )ebv( m +e wave's

  The distance between succ;j6j snnq4se:qx 4-szcm8 m b1essive crests on a wave is called the wave's

  The number of crests of a wc(4y/g2r s**lig qfcaave passing a point per unit time is called the wave's 2cs lfg*y*aci(g/4qr

  For a wave, the frequency times the wavelength is the walt 50 hw:wiizjy /y(m1ve's

  The frequency of a wave increases. What happens to the dists/ v(pdhy7hh* rnr* ,cance between successive crests 7r*s*y/ (h,h pndr hcvif the speed remains constant?

  A wave moves on a string with wavelength l and frequency f.l/czndmgfj )wj 6).;l A second wave on the same string has wavelength 2l and travels with the same velocity. What is jd )w;mljg.6c)l/znfthe frequency of the second wave?

  Consider a traveling wave on a string of length L, mass M, and tension T. A x6 o k*g;eih:tt505 sbo-yrxlstanding wave isxteygb srh *o6x-i5l;0ot:5 k set up. Which of the following is true?

  A string of mass m and leng3gnfrub f -+ih1 y1ba :x,)zvath L is under tension T. The speed of a wave in the strif+nz - av3 g1)bxb:ua,hfri 1yng 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 T. The speed of a wave in the s9n9qgk 9 dv9rcm i/lh5wj:dy/ tring is v. What will be the spev yqd9kl99 g hd j/wcir:mn95/ed 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 tensifz6 krw 8omt 5u+vq8a+a 0a3sfon T. The speed of a wave in the string is v. What will be the speed of a wave in the string if the tenf5rt3vzof+uaa6sm8qk 0 w+ 8asion is increased to 2T?

  In seismology, the S wave is a transverse wave. As an S wave trave:qgx wckv;ay9qum;) n6ih 13j ls through the Earta3)nc:v 16ymj ;k;xuwqiqh 9 gh, the relative motion between the S wave and the particles is

  In seismology, the P wave is a longitudinal wave. As( spot )ug4v+r a P wave travels through the Earth, the relative motion between the P wav+) utr( s4gvpoe and the particles is

  The intensity of a wzklr1 v42y8 1a cy q-lhg.xm4qave is

  A wave pulse traveling to the right6r.i*abn2pw z along a thin cord reaches a discontinuity where the rope becomes thicker and heavier. What*ziwb 2r.np6a is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass ea0stto+a-m2mg qj x6tk w n57;zch other on a string, one is tr 7xs j02am- tqk n65;to+ztmwgaveling toward 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 oneo+ivm7f 7 .i9t4pv amm traveling toward the right has a positive amplitude, while the one traveling toward the left has an equal amplitude in the negam.m f4vviam+7pi9t7 otive 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 qe9lnny:u8y -dk 4n85/tatx o both ends, occurs when

  If one doubles the tension in a violin s.7yr*-mb)irtwwb w3 htring, the fundamental frequency of that string wm h*ybt7.-bwr )i 3rwwill increase by a factor of

  What is the spring constant of a spring that stretches 2.00 cno24f/ h e/z +b(3uxq. wtdbtcm when a mass of 0.600q4/3(cn/2bth otuw xezf.+ bd kg is suspended from it?

  A mass is attached to a spring of spring constanl 7j9*j/q)thr n cf/ywj bsq3)t 60 N/m along a horizontal, frictionless surface. )9rlqj*q7/ bhwnc sf j 3)jyt/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 spring of spring constant 60 N/m along a hr n h/.i* sva:pt*i*jcorizontal, frictionless surface. The spring is initially stretched by a force of 5.0 N on the mass and let go. It takes the masss n: *pv*ahitric/*.j 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 horizont nx)j(o no81vual, 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 positio8v ()u1nxno jon when it is oscillating. What is the frequency of oscillation?

  A mass on a spring undergoec,tw1z0xt xr(1q k a8+jj wmx39gsg9h s SHM. It goes through 10 complete oscillations in 5.0 s. What is the period?g,+arxtxg1c(mw1j3wzsqt0 j8 9h k 9 x

  A mass vibrates back and forth from the free ez7e;tn-fp5jr ju gt z3h483qund 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 iz 3grujn;q453 ujth zft e78-ps 0.30 m from its equilibrium position?

  A 0.50-kg mass is attached to a spring of sz0 hjl1,1nqw:cu;s,(dw utcspring 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 posh,0;u c(lwduntz1 s wj: ,c1qsition. What is the total energy of the system?

  A mass undergoes SHM with amplitude of 4 cm. Theu2 /,(8 jg raujb/cxbtsa:tr . energy is 8.0 J at this time. The mass is cut in half, and the system is again set in moti.c/trs 8bjjba:g2r,uux/ (at on 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 constant 20 N/m along a / x6gkgqb)a3rhorizontal, frictionless surface. The object oscillates in simple harmonic motion gx a)3g6kb/qrand has a speed of 1.5 m/s at the equilibrium position. What is the amplitude of vibration?

  A 0.50-kg mass is attac/tsj7 4b-dgrgml cfs+8+f 3owhed 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. At+fgsc7+ 4r3f8d/gt j bos l-wm 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 sp eti5lot :pc(w (-br yk-63xzgring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the total mechaniwtr 5-3xcg ey6( b:zo( klp-itcal energy of this system?

  A 2.0-kg mass is attached to the end of a hor0va(j9u pu2vrar*m8+o ;ei3 1sqbhih izontal spring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the total mechb+vsp v1;0uirj3 *qm(r 8i 29ahoaeuhanical energy of this system?

  A mass vibrates back and forth from the free end of an f8j8 s f32iv3x h(1(i volb+icmyve7 tideal spring of spring constant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kinv jo(v1ltciifi 3 3x8y fshbv(2e+m78etic energy of this vibrating mass?

  The mass of a mass-and-spring system is displaced 10 cm from its e+7 k ttsxi /o+ v23+2zozodgwa(yxzu: quilibrium position and released. A frequency of 4.0uo+yoisz3( 2z +vw xa2dkx +zgtt7o:/ 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 constant 10 N/m. The xw56 k nct3t dw*h6l.jn6a6tb object is displ lk jntwnx *db5ttc h6a3.6w66aced 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 spring constk /e22fwcva+kw tq: ./h7b jgxant 10 N/m. The object is gfk2/q:atcv bhe7/2x .ww + jkdisplaced 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 constant 18 Niv67b- lfv,yq /m, displaced slightly from its equilibri76- ,yfvqb lvium position, and released. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates atg ydzj-.,4 8aoet9rae a frequency of 1.27 Hz when displaced a distance of 2.0 cm from equilega. z48oyr t9a,d e-jibrium and released. What is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to different +2i ,xddv5 wdpr0 ej*7vi4m ajsprings. Mass A vibrates with amplitude of 8.0 cm at a frequency of 10 Hz and mass B vibrates with amplitude of 5.0 diviwx vjmd0 7*e54a ,2+rjpdcm 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 stretch4r2+v qw.n cxknse(y vyss+.5 es the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and released from rest. Calcu(xk yrv5.ssvy cnq4 2swn .e++late the period of oscillation.

  A 0.30-kg mass is suspended on a spv2c3 t+) )mhd,nl jqtf3bqp) yring. 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 eneyh+bjmvqp)tld3, ft)qn 3)c 2rgy of the system.

  A 0.30-kg mass is suspended on a spring. In e0y-rq1k2xd::xdrk /z bp4rmmquilibrium the mass stretches the spr/1byqxk:m 2rkrdrpz-md: 4x 0 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 harm6yx5yi5nj: doonic motion obeys the following position versus time equatnjo:d y6i55y xion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic mk0e5w d*x*f;/nf eofqld.hb4otion obeys the following position versus time equatf dhn4e l 5;xq*ffe/b0 d.ko*wion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion ob7a;.vjdk hhieb k/q-;eys the following position versus time equa -iqjkh bh7.v ;k;e/dation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a sprh 2a:;kzldw *eing executes simple harmonic motion accordin2:al z;k*dehwg 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 consta, dp(tmrk : dk+*h5glmnt of 20.0 N/m oscillates on a horizontal, frictionless track. At t= 0, the mass is released from resl :pr(k mdh*5+gdtkm,t 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 8.0 s. (a) What are its f +jro*vpoc7q: (pz us00ku+a urequency and period puo+:cpk0ju*0so+7 ur a ( zvqon Earth?

  A 3.00-kg pendulum is 28.84 m long. mch7 72fsazq3 nwkt14 What is its period on Earth?

  A pendulum has a period of 2.0 s on Earth. b hx3 (muo/p ta6wye+; What is its length?

  The pendulum of a grandfather clock is 1.0 m long. What is its pjgb:gzq08oy:wt*j krbm, 3 85zt cx(weriod on the Earth?:(yjzw c t j,br50wz83 :kbx8mtqg*o g

  The pendulum of a grandfather clock is 1.0 m long. What is its period on the Moioo3 kt7 i da/0zg(9 yq* *6gu/ytszhxon where t*d oiou (*qih9 7y/a6gt3zksxg 0zyt/he acceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attached to4d dyg ma*l9s2 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 sphere2 ms94d gylda*) had been attached to the string instead?

A simple pendulum consisting of a 20-l6zjq 0e5 xlw.g mass has initial angular displacement of 8.0e. e . l0z6jw5qlxIt oscillates 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 ahizz-tq6:j.vmjcc1f *f/ jf ;a vtv5 3 given time. The frequency of the wave is 120 Hz. What is the amplitude? vz:q3 6.tvz 1;ccm jt- jafjf/*h5vif

  Figure 11-2 is a "snaps;0) m m -vsv/vla-oogshot" of a wave at a given time. The frequency of the wave is 120 m0oa-/vmv osgs;-)vl Hz. What is the wavelength?

  Figure 11-2 is a "snapso+of.:gc5 7jjk fmtw9hot" of a wave at a given time. The frequency of the wave is 120 Hz. What is the wavetk f: w+go5j. om97fcj speed?

  What is the frequency of a wave which has a pec:- *gq b sya4,dnjzjp m6ty8.2 dhjo6riod of 6.00 ms?

  What is the period of a wave with a frequencycvb/q. :u rdu ut6 dse+3066bq*awb(il dg. hv of 1500 Hz?

  What is the wave speed if a wave1cd p wv 5e yxqpp+.68v4uhpe4 has a frequency of 12 Hz and a wavelength of 3.0 .pp1+ue6vhpqp x4 ywce4d8 5vm?

  What is the velocity of a wavq07oq ynh/3amf; ;aype that has a wavelength of 3.0 m and a frequency of 12 H0pq;q/o7n;y mfah 3 yaz?

  What is the frequency of a 2.5 m wave travelingr m prbla6.ar4wt 0x7 qn7ve -dp246u;wx6brf at 1400 m/s?

  A piano string of linear mass density 0.0050lwx ,r1h.bpe.e4g5o t.qr dm8 kg/m is under a tension of 1350 N. What is .4mw8,t1gb q hrr5o.dpe.lexthe wave speed?

  A string of linear density 6.0 g/v6 /0qcxvxa*g6,s wb v9b8dvym is under a tension of 180 N. What is the velocity of propagation of transverse waves along the y8 qxd9c6x0v6/sv* vvbab g w,string?

A wave whose wavelength is 0.500 m is traveling down a 500lzl r,,fgf0 +qr0:zkl m long wire whose tot:+ g ,,lklfrqz0fl0 zral mass 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 2.0-m lonsi/:(e3medh7covi qh2 7zd3vqj p ;kd-/fun+ g string fixed at both ends is 200 m/s. Which one of the following is not a resonant frequ2qh:-d7zeohd/( i uj7ic pv/de3 v+skf;mqn 3ency of this string?

  If a guitar string has a fundamentamp3q1y e/e.k:gtg* qjl frequency of 500 Hz, which one of the following frequencies can set the string into reson:jye q1g t3g/*pm.k qeant vibration?

  A stretched string is obsl wzn 2qbo; ,whega16c.9vdf 4erved to have four equal segments in a standing wave driven at a frequency of 480 Hz. What driwead9.,o;c v hq61w z ngl42bfving frequency will set up a standing wave with five equal segments?

  A string, fixed at both ends, vibrates at a frequency of 12 Hz with a standmp) gn.yzxgxzo 4 zgps,9p*85ing transverse wave pattern containing 3 loops. What frequency is needed if t9mnpgg5. x*zz8s4pg,xpoz y)he 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 should its c nbsel 73fh4.leng n.7hlc3efsb4 th be if its fundamental resonance frequency is 220 Hz?

  Find the first three harmonics of a kv4qtln57 c2 fstring of linear mass density 2.00 g/m and length 0.600 m when it is 54nf2 q7cvk tlsubjected to tension of 50.0 N.

A string of length 2.5 m is fixed at bot 316se m.qezj9dg6ot +bsyoc 4h ends. When the string vibrates at a frequency of 85 Hz, a sta o gtbzq 9e.4cme6631 yojsds+nding 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.