The time for one cycle of a periodic process is callec.ut/5f pye m1k:qbz9d the

  For a periodic process, the number of cycles 1 zcsd;8; hsjlper unit time is called the

  For vibrational motion, the maximum displacement from the equilibrium point is ev0z4 p/sl(whcalled lhp(swv0 z4/ ethe

  A mass on a spring undergoes SHM. When the mass is at its maximum displacem/ a rjva/wpt06ent from equilibrium, its instaavart/w6/ 0jpntaneous velocity

  A mass on a spring undergoes SHM. When the maqk g:)ndr eu;*ss passes through the equilibrium position, its instantaneous rg:u* ;k) dqenvelocity

  A mass on a spring undergoes SHM. When the mass is at maximum displacementj- b9 62nj-cheyic0 ep 9qv/lp from equilibrium, its instantaneous accelnq y-0c c6jv/9iph- pe2 be9ljeration

  A mass is attached to a vertical spring at:pnozx :f s-sd.pl( wrgjn (e-s97 k8nd bobs up and down between points A and B. Wht:f (sxz8g-s 9nno( .jw pr :7sd-keplere is the mass located when its kinetic energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down between points A 1 z(gf 1ctsk;f-fs5gxand B. Where is the mass located when its kinetic fs;1 ts51c(zgf fk-gxenergy is a maximum?

  A mass is attached to a vertical spring and bobs up ana.1a 4;obg na0lp)nc xd down between points A and B. Where is the mass locat0nl.a4; aog1)xpna bced when its potential energy is a minimum?

  A mass is attached to a vertic*w dcvlw.da5n l2j0 5me .1yxdal spring and bobs up and down between points A and B. e0 * .w2.dc lxdayn5ldjm5wv1 Where is the mass located when its potential energy is a maximum?

  Doubling only the amplitzr*grjxa3 )br58f g(7pfdc c0ude of a vibrating mass-and-spring system produces what effect on the system's mechd5(cffr *gj8xgz prr7c b3a)0anical energy?

  Doubling only the mass of a vibrkxua2n, *o0.g1 hvlpf8flcy 8 ating mass-and-spring system produces what effect on the systao*2,.uphnkylv8x gclff1 08em's mechanical energy?

  Doubling only the spring constant of a vibrating mass-and-spring system pro76 y l cr4+qyosii1t1jduces what effect on the system'ii6 +t ocyy q4lj1sr71s mechanical energy?

  A mass oscillates on the end of a spring, both on Earth and on +s+-hu d8zh q3bvpa t:the Moon. Where is the period the p+ hdt vh8z:-3b+ auqsgreatest?

  Increasing the spring constant k of a mass-*ir. fc/hru.y xceqyp6/v9u / and-spring system causes what kind ofifr uuv/* 9 cyhe/yrqc x6p/.. 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 of ch)-4jmt x(1gp- vtfrisf,s; ri ange in the resonant frequency of th;v t rm,i sj-(xrts fgp1i-)f4e system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spr f* un)g f9nf ug e,+i-h+ec3:ri+ovwaing system causes what kind of change in the resonant frequency of thevcfga3*in ni ewu+-hf f9)o+g,u:e+ r 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 mass M attached to a weightless s b7irp;oo g/ ,jd8sg3vtring of length L. For this system, when unigj v g; 7opo/d3b8s,rdergoing small oscillations

  When the mass of a simple pgu67hgzm 2cokj j :j69endulum is tripled, the time required for one complete vibratj2go7 chgu6zk6 mj 9j:ion

  Both pendulum A and B are 3.0 m long. The period of A is T. Pendulum A is twia w,2f / opu+*9bocwoqce as heavy as pendulu+qw,wpa/fbo 9oc uo2 *m B. What is the period of B?

  When the length of a s1jhme0d(2lu*50pd px dqjuk + imple pendulum is tripled, the time for one complete vibration increases by a qpeux5l1pd*0j mh 2 ukj0d+(d factor of

  What happens to a simple pendulum's frequency if both its length and mas4u3-t 1zo kbazg4 yby1h, tey/(omu 2ss are increased?ua z-,t13g/moy 2ot1s bhyz44(b k eyu

  Simple pendulum A swings back and forth at twice the frequem*bvley4/+/-dj w 8dl eo gwn(ncy of simple pendulum B. Which+-8oy eeldwjblnmd/g*v(/4w statement is correct?

  If you take a given pendulum to the Moon, where the acceleratiou2csn/(g anum eg;0/ww9 o0.fck ,domn of gravity is less than on Earth, the resonant c9 s(,ng/m;wdou g20em0/k c.onwauf frequency of the pendulum will

  Curve A in Fig. 11-1 represend tw xr.58cc;7t bip5:zr ;gwnts

  Curve B in Fig. 11-1 reprem4(2zuwoi 7m jsents

  Curve C in Fig. 11-1 represenypn8ymtpja t,l ( 20x7ts

  For a forced vibration, the amplitude of vibration is found to dependtwv,02 p 7 fy9yikv*+ b2qvdm2 z1luzp on the

  In a wave, the maximum displacement of points of the wave from equilibri3 fxwt zzl/hjz/:8-ip kipnu 2o4iz38um is called the w4 2fijzo/zi3tzux/838 kz lnhp-pw i:ave's

  The distance between successive crests on a wave is ca2 )0-unyafzp8zt x c4lnwc7r;lled the wave's

  The number of crests of a wa/0/z lxsh9aronq h(jt ;0egm8ve passing a point per unit time is called the wave'sl(/mja;h 98/sxqz0r g0e hotn

  For a wave, the frequency times the wavelength is t7e d h2tb+t xj(qh4mc,he wave's

  The frequency of a wave increases. What happen0 ctnr cfrpb)lu3*vp 0-x6dj2s to the distance between successive crests if the speed remains consptr0v n23lxj6cr bf0pd )*u-c tant?

  A wave moves on a string with wavelength l and frequency f. A second wave on the po 3y ti3a.ipr58:zoo same string has wavelength 2l and travels with the same velocity. What is the frequency oyi8ooa3r5 pz:.3tpi of the second wave?

  Consider a traveling wave ocs6ye*ca) m w+ (we1)p0jsnmr y4ut6fn a string of length L, mass M, and tension T. A standing wave is set up. Wn4p (6r1ews*emw 06astcu) jy)+cmfyhich of the following is true?

  A string of mass m and length L is under tension T. The speed of a wav,+d8 e/ 0pfhip:t/+c cuu gozze in the string is v. What will be the speed of a wave in the string if the mass of the string is incref e/ogt:/phizud,ucpc80 z+ +ased to 2m, with no change in length?

  A string of mass m and length L is underq c;0bks:tqp6kw4 w: g 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 lengtk q; scwtkb4w:pg:q60h 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 ivf7phz ,h1c: b:muu2ln the string is v. What will be the speed of a wave in the string if the tension zu7lpu :vh2, :b ch1fmis increased to 2T?

  In seismology, the S wave is a transverse wave. As an S wave travels :gv ei xs9m:-d6vdfi0 through the Earthxvsfid0g- 6i emd 9v::, the relative motion between the S wave and the particles is

  In seismology, the P wave is a longitudinal wave. As a P wave travels through tjgper3hu k i+,4dv9,h he Earth, the relative motion between the P wave and thee,i 3,h ghpr9 v+kj4du particles is

  The intensity of a wave ib8 s :8oil(slrs

  A wave pulse traveling to the right along a tr.k212 1s:)fij8cha ncut0wa cb4acsy8 r 5zrhin cord reaches a discontinuity where the rope becomes thicker and h:b 5uirr 8h41.znkc22c1t aj cr awfc)0y8asseavier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive alea02wlg 3by ; qc0t6smplitudes pass each other on a string, one is traveling toward the right and the othecb32;lt ge ys0qw6l0ar toward the left. At the point that they occupy the same region of space at the same time

  Two wave pulses pass each othe4 xcni- 6mcbr2r on a string. The one traveling toward the right has a positive amplitude, while the one traveling toward the lexn 4cc i2-6mrbft 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 striy- h3 1fh4nyotff:n8 ong fixed at both ends, occurs when

  If one doubles the tension in a violin string;-/e;lb-mybb*zs fgbt0yb0a , the fundamental frequency of that string will incremt 0g;eybz0s b *a b-bblf-/;yase by a factor of

  What is the spring c piq4.wl8z c6:uj+x puonstant of a spring that stretches 2.00 cm when a mass of 0.600 4u+qwpc8l j6: zix.upkg is suspended from it?

  A mass is attached to a spring ofza6 c4nd5a.lbqkkg 3+ 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 l dna. 5qc4+ z6kl3gkbaet 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 6-fz ohf93emi/ 6dja0d 0 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 odef-oaij dfm3/hz609 scillation?

  A mass is attached to82z )nzr1-lf;of an xj 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 2)laxon8;z1n f rz-jfon 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 completeii;1j2-tn mas oscillations in 5.0 s. What21 j-m sint;ai is the period?

  A mass vibrates back and forth from the free end of an ideal spring of bgaa n-qt ss 9+4:rk7vspring constant 20 N/m with g- vtn ar+kb947:aqss an amplitude 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 attached to a spring of s)i7m75d w/a.e 3hb/fipgoekbpring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/sm)e 7p/i/ ib afke.7b3g w5ohd at the equilibrium position. What is the total energy of the system?

  A mass undergoes SHM with amplitude of 4 cm. :+ /uvgu4 l9lfp;dwdsThe 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 isfg /+wsld4 9u:dpv;ul the energy of the system now?

  A 0.50-kg mass is attached to a spring of spring constant 20 Nr;u( /ivg4o :b yr.qmkj+jpu*/m along a horizontal, frictionless sourip+(yjk*gqu4 / mb;.rjv:urface. The object oscillates in 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 a spring of spring constant 20 N/m alon fqk c )3cariav5l fg;-7lx(6kg 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 agi f7k)qf3xa ;vkc5c(l6l r-the kinetic energy and the potential energy the same?

  A 2.0-kg mass is attach 13xx3r++9eia qhvjated to the end of a horizontal spring of spring constant 50 N/m and set into simple harmonic motion with an amplitudx3e+ iahtqarx3+v 1j 9e 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 consu -/-0ofyo .tda9c ga15jsthkl-)gyb tant 50 N/m and set intoytjbl- os9cta5f -)/ohu da g -01kgy. 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 6 uiii2,uvtrya :pe;4zun4: a of an ideal spring of spring constant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kinetic energy oyu at46,uav4r;i u2ipzn:i :e f this vibrating mass?

  The mass of a mass-and-spring 9p -xvrw un6i.system is displaced 10 cm from its equilibrium position and released. A frequency of 4.0 Hz is observed. What frequency would be observed if the mass had been displaced onlv9ru .- pnx6iwy 5.0 cm and then released?

  A 4.0-kg object is attached to a spring of spring constant 10 N/m. Tnt ;s-py/sk2xqr61 rxhe object is disp-;nt6r/xk x qyss2r1 placed 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 constant 10ovk o ,9r;arl0+r zmpz ++s+di N/m. The object il++9;rok ++ sv pmzoa0drir,zs displaced 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 N/m, dis)- 3zehgygz v usrs133placed slightly from its equilibri31 yhvezu3)g ss-rzg3 um position, and released. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates al,r0h b/xoy. iqr5r2vt a frequency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What is the max r2ylh oxivqb .,r5/r0imum velocity attained by the mass?

  Two masses, A and B, are attached to different springs. Mass A vibrates with rh(. lc5u frkm:2mphn b:7jv)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 compareunbf)l jv(c72 h pm:r.kmrh 5: to the maximum speed of B?

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass stretches thesxm -h*yvd8,1 kax1ww spring 2.0 cm doh1dy-s 8*xx,1 wawk mvwnward. The mass is then pulled 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 spqt;eh26v bodw0; osy;xbq- y1ring. In equilibrium the mass stretches the spring woyqys0;hto -1v;6bedbx ;2q 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 system.

  A 0.30-kg mass is suspended on a spring. Ici :rf/yzq3ih+bft u l)sa3z b:+s0 h0n 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. Write down its equation of) +l sb/h3qrzft 0usz+f3bhi:c:0iy a motion.

  An object in simple harmonic motion obeys the following position ver6 j; (/:ff 7m hlioz:stl0wxg*cqya/fsus time equation*xfw/a(j/gil t6yo :fmf0z:q h;csl 7:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the followin9k a(jhn yc0-ag position versus time equation:-cn0k( hyja 9a
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic mo0./ciou;f. )qe 6l ojjgou bb7 ;n(tnrk;p -nxtion obeys the following position versus time equati;kt xun7q.ubjf.;)p(r-n; j/o gb o0e ol n6icon:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the freee2f6p 8d nwt;*vqi l-w end of a spring executes simple harmonic motion according to tt6ql f-e28 pw;n wiv*dhe 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 2k njx/v- 0fjr60.0 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 0j x/-vkj6frnspring 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 freq;7j q)cd:yz fyuency and period d:yqz7)j ;cyfon Earth?

  A 3.00-kg pendulum is 2d9 f ;xcc48fmd8.84 m long. What is its period on Earth?

  A pendulum has a period of 2s6uulj am1msq,yc:6e 6pkc 15.0 s on Earth. What is its length?

  The pendulum of a grandfatherz ( 9:eii8m)x x,ix4meq,kgug clock is 1.0 m long. What is its period on the Ea 8(4:xx,qmmggxk 9 i)zeuei,irth?

  The pendulum of a grandfather clock is 1.0 m long.c)46mef mnnw- yh o2l( What is its period on the Moon where the acceleration due to gravity is o(6e4 m2cn- w)mhnoylf nly $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attached to a3gr)psi4 w5qp 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 pgs ri45)pw3qa 0.50-kg mass (same diameter sphere) had been attached to the string instead?

A simple pendulum consisting of a 20-g mass has initial angular di ;4yx m/h(rx-tn vg21hpifvb01bg8lxsplacement of 8.0e. It m ;firb/b4(lghp0vy-n2 g1h1vt xxx8 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 a given time.fx3t 8(gzpw/a The frequency of the wave is 120 Hz. What is the amplitude?/pxf8 wtgz 3a(

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequgo2z eg)gwhr zxd) g69932rbz ency of the wave is 120 w9rg62e )b zg9d3o2rgzh)xz g Hz. What is the wavelength?

  Figure 11-2 is a "snapshot" of a wavewcc yfy;;r rgyflnd -:.9 rv/7 at a given time. The frequency of the wave is 120 Hz. What iw;/rl;y-.n7 g y9y :frdcrfcvs the wave speed?

  What is the frequency i5tjyy c/uep(is//* gof a wave which has a period of 6.00 ms?

  What is the period of a wave with a fovv 29; wafcry0ba(+/iov t*krequency of 1500 Hz?

  What is the wave speed if a wave has a frequency of ljbq-0q2omtdy/)h:ch+ea 4iz;7fh c 12 Hz and a wavelength of 3.0 m?l:4- )+fdjt omq7 czb /hih yeq2;ca0h

  What is the velocity of a wave that has a wavelength of 3.0 m acqx .rh5,dn y88)lklund a frequency of 12 Hxy,k5)lulhq . dnr 88cz?

  What is the frequency of a 2.5 m wave travela 2x je8j8n9g1uv3um king at 1400 m/s?

  A piano string of libul xqf5 o53qt wx7+qo z4nt85near mass density 0.0050 kg/m is under a tension of 1350 N. What is the wave sp5lwx3uoftbz7q x4otq85n + 5qeed?

  A string of linear density 6.0 g/m iw60 8tc myo:lbs under a tension of 180 N. What is the velolcm: t0yw6b8 ocity of propagation of transverse waves along the string?

A wave whose wavelength is 0.500 m is travelvbs7zg b t ,7,c7+.zs-r fyyading down a 500 m long wire whose tota-ztbs+ rvybzfs c,g.7d a,77y l 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 long string fixednfgnjm k,m5 -x:k8)k*nj 9 zmd at both ends is 200 m/s. Which one of the following is nnx gk9n,-mdm)z5 fkn 8 m*kjj:ot a resonant frequency of this string?

  If a guitar string has a fundamental frequency of 500 Hz, whiche6 o h6+odrkij,qk*b . one of the following frequencies can set the string into resonant vibr*o6qi+eboh rk,d6jk. ation?

  A stretched string is observed to ha-p b *k3yd*hm t2 ahovx+is1k6ve four equal segments in a standing wave driven at a frequency of 480 Hz. What driving fre sa 6dhv-h+ox 3kmt2by1pi* *kquency will set up a standing wave with five equal segments?

  A string, fixed at both ends, vibrates aij-9+.oayy qzt a frequency of 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency is aio.j9zqy y+ -needed if the standing wave pattern is to contain 4 loops?

  A string of linear density 3hybd(cc z*x81.5 g/m is under a tension of 20 N. What should its length be if its fundamentb chycz38xd*( al resonance frequency is 220 Hz?

  Find the first three harmonics of a string.p+ tc,ige 8lj of linear mass density 2.00 g/m and length ,cgpj.i tl8+e 0.600 m when it is subjected to tension of 50.0 N.

A string of length 2.5 mp+dwxvvo2 9e;6l vow, is fixed at both ends. When the string vibrates at a frequency of 85 Hz, a standing wave with fi2owwlx9vp;o6v+v e ,dve 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.