The time for one cycle of a periodic pr)9n )g0 qy3o;z:;wkq.te :imiy ez fkhocess is called the

  For a periodic process, the number of cycles p4ms*zr8+di wjmx 8(niok / 8yker unit time is called the

  For vibrational motion, the maximum displacement from the equilibrium point is w f;y4jjqn pi8; )68hj/jod5y)vykl mav kd30ca/k; ))f yyj 6iawh8q;ojvjdlj y8v35dmp n 04klled the

  A mass on a spring und1s10lmqcl + ).yidmu: y hq:bvergoes SHM. When the mass is at its maximum displacement from eqd i:1 1yu)b q.+ql0vl chmy:msuilibrium, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mak;9vpfw /xa 5)rdmfp4ss passes through the equilibrium position, its instx;9/4vmf ad pk w5f)prantaneous velocity

  A mass on a spring undergoes SHM. rennss3q97 pcd(evo-ly. 6 u :When the mass is at maximum displacement from equilibrium, its instantaneous ac n7uos-(vl6 yqd3:9enepr.scceleration

  A mass is attached to a vertical spring and bobs upb54evmr11fxb5s qv1f1 +by pn and down between points A and B. W1+rqb en1114 b5f pyb5x vvsfmhere is the mass located when its kinetic energy is a minimum?

  A mass is attached to a vertical spring and bi cehcg hv7*sv;.868a6y on jaobs up and down between points A and B. e cs76a86yhc gav8 nvj.ih*;o Where is the mass located when its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs qdzla 60 71y/bzwu.u vup and down between points A and B.za16 z/b7luwdv.u q0y Where is the mass located when its potential energy is a minimum?

  A mass is attached to a vertical spring and bob .l mer:8de2qbs up and down between points A and B. Where is the ma2m: ld.ebre q8ss located when its potential energy is a maximum?

  Doubling only the ampli3k m09bmpjdrmwt 9z.2tude of a vibrating mass-and-spring system produces what effect on the 2w93j9rtp. mbdzm m0ksystem's mechanical energy?

  Doubling only the mass of a vibrating uz.5k :vbsq:axf;yz4mass-and-spring system produces what effect on the system's mechanical ene x q s.uf5:a:zvb4zy;krgy?

  Doubling only the spring constant of a vibrating mamn + 4qd:m )5ulb-8xf)huf czbss-and-spring system produces what effecf5dqucl m)8xnh - uf+b)m4z :bt on the system's mechanical energy?

  A mass oscillates on the end of a spring, both on Earth and on th m)q anq,tc65qe Moon. Where is the perio5 qaqq nm6c),td the greatest?

  Increasing the spring constant k of a mass-and-spring sysr5;zr3 kokxt ;cokpagdp/,(k/ ,ka, -6g vgaxtem causes what kind of change in the resonant frequency of the system? (Assume ,p/pa zok5 krxc (vad-;k/x ,k;oggg,a3rtk6 no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system causes what kind of2mgl,l. l8w9 xf (riof change in the resoml f92f wl8rxol(,ig .nant frequency of the system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system causes what kind of chang ;k2te ojtee)d8cq /imw(4n w15 a.fvbe in the resonant frequency of tq8w(25m v) c/i1 4en ot .bwetdkfaje;he 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 strin)l a r (9bz1u+sdt8uwel3at5eg of length L. For this system, w e3awse+ b a1u8rt9 l5ul)t(dzhen undergoing small oscillations

  When the mass of a simple pendulum is triphzr 4 krhktxa (j hl)+-7yb*7nled, the time required for one complete vibrati hbl)*j-74(k z +tkxrh7nahyr on

  Both pendulum A and B are 3.0 m long. The period of A is T.o )jzx;g cp m22ld 0kt(e,y0nm Pendulum A is twice as heavy as pendulum B. What is the p0lgz t )kyxco(mp ,2n0j;2 demeriod of B?

  When the length of a simple pendulum is s -j8h( *k;yy4n3q 2tttdpix2ys3r t47iu ydbtripled, the time for one complete vibration ybryi4tu jp*(k d3dy ;8xs74tynhi3 t2qs -t 2increases by a factor of

  What happens to a simple pendulum's f1upmvmw u9e8 f-jsein y 1,ia6 6d02dyrequency if both its length and mass are increasmd8sjam ,ifw-9e16vuunid1 6yey p02ed?

  Simple pendulum A swings back and forth at twice the frequency of simple pen,u6 d,o7c. ft0dvd *t(r buovydulubrtt fo d6ov0.,7,y(d c*uudvm B. Which statement is correct?

  If you take a given pendulu8 jyz0p/r8znpbhit*j+) d ig7 1ue(edm to the Moon, where the acceleration of gravity is less than on Earth, the resonant frequency of 8y7i pddirze zbth) u(08+*ejn1/gp j the pendulum will

  Curve A in Fig. 11-1 b3twev+8ig a/represents

  Curve B in Fig. 11-1 represents vxy7ra.e3v 3n

  Curve C in Fig. 11-1 rep2bt* uaft,x b-wgb3q ,resents

  For a forced vibration, the amjmx :/uu ma*ex 7-jre7d. mh/eaf3qn. plitude of vibration is found to depend on the

  In a wave, the maximum displacement of points of the wave from equilibrer1nr(+b+z go4z(aaw (pkde+ ium is called the wa z1a+(+zgdeabe k+o w(prrn( 4ve's

  The distance between successive cr:.c7z 6n1ch hgntgtb :ests on a wave is called the wave's

  The number of crests of a wave passing a point per unit time is called the wd05 eo,dl zqtgsi: *z/ave' i/*d s,:ot dqeglz5z0s

  For a wave, the frequency times the wavelength is kim3i b--o5g fgz: x6sthe wave's

  The frequency of a wave inca-2 fcfph8 p.preases. What happens to the distance between successive crests if the speed remainpp c p-h2aff.8s constant?

  A wave moves on a strinnpzrkz8 o(xwr667.xve ktvcq-6 z /3*x n kw0gg with wavelength l and frequency f. A second wave on the same sk76px0zq6w.nor t nv 3ezv6xk8x/ wkc(z* -grtring has wavelength 2l and travels with the same velocity. What is the frequency of the second wave?

  Consider a traveling wave on a stri;yq0k nud81nxi ys9 l3 zi4b6(4u jqmwng of length L, mass M, and tension T. A stan n ( yknl4i6mb3wqu18u0qs4 xiz;d9yjding wave is set up. Which of the following is true?

  A string of mass m and length L is under tension T. The speed of a wwg7+k;lkm n9 .pw7w x; 7fivyyave in the string is v. What will be the speed of7fw+ylivkx yk77 mg;; nw.9p w 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. Thxm1ff*0qxb mm 9r)ir,e speed of a wave in the string is v. What will be the speed of a wave in the string if the length is increased to 2L, with no change in r*f10 xim )xm9rf m,bqmass?

  A string of mass m and length L is under tension T. The speed 9 zqo:g1qbnmww, d xf8 b*h-4rof a wave in the string is v. What will be the speed of a wave in the string if the tension is increaseo4, :9dbg 1-mfqznbhw8rxq* w d to 2T?

  In seismology, the S wave is a transv3 ds o,)ra/ ykpkym*k6erse wave. As an S wave travels through the Earth, the relativekso m/*,6kya dprky3) motion between the S wave and the particles is

  In seismology, the P wave is a lowv-0ga2kcxy v s*m2n5ngitudinal wave. As a P wave travels through the Earth, the relative motion between the P wavea*c- y mvw50n 2svxg2k and the particles is

  The intensity of a wave mtt quo,5 +hpv3hd-j 3is

  A wave pulse traveling to the right along a thin crvyao8n03pm j ziqx(sl3cf+af 23i46ord reaches a discontinuity where the rope becomes thicker and heavier. What is the orientation2 +33 n3 fi 0sql(o fazax8prmi4yjcv6 of the reflected and transmitted pulses?

  Two wave pulses with equal positiveqtshir 3jsx*/y etp8t-2wk.8 amplitudes pass each other on a string, one is traveling toward the right and the other toward the left. -rex2sski.8hy/w tj tq3t* p8 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 ti)*fncg09.dv l bsup:raveling toward the right has a positive amplitude, while the one traveling toward the left has an equal amplitude in the negative direction. At the point that they occupy the same region of space at the sameugci)vbf0*:l n9s d.p time

  Resonance in a system, such as a string fixed)ci1s9/am n; ok n5qtu at both ends, occurs when

  If one doubles the tension in a violin string, the fundamental frequency of ndp7*t 4buvhvf6;89a cmfp h2 that string will increase thp;vdfb8 a9c4p v2 7nu*mfh6by a factor of

  What is the spring constant of a sprie5 ycoxg09k9 eczi*v-ng that stretches 2.00 cm when a mass of 0.600 kg is suspended from *eic95kx0y ezo9g- cv it?

  A mass is attached to a sprinp2nmwq(;6xgw ;rp/j e g 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 the pg; x ewp6 m;wn2/(rqjamplitude?

  A mass is attached t-y 0y d efi n20n/ gad8l)1py4yar:xhvo 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 s to go back to its equilibrium positio/n0e4lphynx -vr8)didy y21a :y g fa0n when it is oscillating. What is the period of oscillation?

  A mass is attached to a spring of spring yn; eldd.ob57;vodo8 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 equilibri;leo7yd5 d;obvdno8. um position when it is oscillating. What is the frequency of oscillation?

  A mass on a spring undergoes SH/ 5yaytjzyv;bf yv1t3v b4 gs;01k3xgM. It goes through 10 complete oscillations in 5.0 s. What is the period ;x4v1;3y z3t/a0f 1y bbtgsg5 yyjkvv?

  A mass vibrates back and forth from the fret i4eeg:t jqg0 1nh3 d6c/etlm0k65yue end of an ideal spring of spring constant 20 N/m witt u0nej1:mitkg c0eyqh635/ ge4t 6dlh 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 spring constant 20 N/m along a horizontyjv :dr/k6 v+tal, frictionless surface. The objeckyj6dv+ v:rt/t 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 with amplitude of 4 cm. The energy is 8.0 J at this c,de h*acgkqvn*r( 1 vo;eo71time. The mass is cut in half, and the system is again set in motion with amplitude 4.0 cm. What is the ene ev1do7 cgcr a*hn,e( qk*o1v;rgy of the system now?

  A 0.50-kg mass is atd+ t5puw l5 lw)mj60zdtached to a spring of spring constant 20 N/m along a horizontpmz6 5+tl d0l)wjd5wu al, 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 amplitude of vibration?

  A 0.50-kg mass is attached to a spring of 6w*sctkyh :yvs3h /x 2spring constant 20 N/m along a horizontal, frictionless surface. Thevhy*s2w/shy: 3cx tk6 object oscillates in simple harmonic motion and has a speed of 1.5 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 spr rh; vv;xuxh0 /zusb00ing of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.;zrbv shxu/x00hu0; v10 m. What is the total mechanical energy of this system?

  A 2.0-kg mass is attached to the end of a hosx/kp(dc3e azy7op6os pg-36ll .wi*rizontal spring of spring constant 50 N/m and set into simple harmonic mo7 (o plakp.cd/w6xo* zig -6esyl3p3s tion 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 an ideal spring of r kbu5(yk) pz;pn:pj. spring constant 20.0 N/m with an amplitude of.k ;yub5 r pk)(np:jpz 0.250 m. What is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring system is displaced,hcdqm1 xl5ercq ,23 l 10 cm from its equilibrium position and released. A frequency of 4.0 Hz is observed. What frequeq l1m,,3delrxccq5 2hncy would be observed if the mass had been displaced only 5.0 cm and then released?

  A 4.0-kg object is attj )9k *ati7h+l.nz z: rydj+vi8,ikkjached to a spring of spring constant 10 N/m. The object is displa.7jijk izh rl)jda *9:,ikz+v+ 8tknyced 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 10 N/m. The objecti( :nvs8afihs f9dw +7 is di(s +a n8ihd7fv9fsiw: splaced 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 consjyyp7g+7c h :sh4gs 2ntant 18 N/m, displaced slightly from its equilibrium position, and releyy ghs+c:4h jngs772p ased. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates cutco 1bazd 4/x f7z--at a frequency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What is the maximum velocity attained ca17 xz o4 d-b-uzctf/by the mass?

  Two masses, A and B, are attached to diffe4gdjxv )b5jt 7rent springs. 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 speedg54xvjbj t) 7d of A compare to the maximum speed of B?

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass stretczuhw1t-f (cq/hes the spring ct-zwuf /h(1q2.0 cm downward. 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 spring. In equilibrium the mass strpkst 2t;2qyy 0etches the spring 2.0 cm downward. The mass is then pulled an additional dissp2qy k2tt y;0tance 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 sprin,7sx(to,yunr g. In equilibrium the mass stretches the spring 2.0 cm downwarotyx,,r7 u (snd. 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 ma;i.nnnig- mt/-,ki kcjln 2(otion obeys the following position versus time equation:nn.man/ltg;- i-j(knc i, 2 ik
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic movf-1vlv h9d7ltion obeys the following position versus time equh79v vldv1 l-fation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple j4m6 dkc,. jtson8s z9harmonic motion obeys the following position versus time equ4s,8 sm c. jtdnj6o9kzation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a;3hv64f e-gk; a18j mozmwpro spring executes simple harmonic motion according to the equaaemmk jp13h46fo gz 8;o;r-w vtion $y = 0.50 \; \sin (18\pi \times t)$ 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 forcescqk(vx5. s. j constant of 20.0 N/m oscillates on a horizonta5 vqjscsx.. k(l, frictionless track. At t= 0, the mass is 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 8.0 s. (u/ qdk/(+jpydzt6 8k ba) What are its frequency and perip/y tuqz/(d 6+bk8kjdod on Earth?

  A 3.00-kg pendulum is 25z*td v3gc0; p3koia o8.84 m long. What is its period on Earth?

  A pendulum has a period of 2.0 s on Earth. What 1n/jp,,f:t yberu8imfst/: bis its length?

  The pendulum of a grandfather clock - nckc.vlx;-m gs;ec 9is 1.0 m long. What is its period on the Earth?9sck-.-cxv;le nmgc;

  The pendulum of a grandfather clock is 1.0 m long. What is*bg*-.2 6rkjbdf rfov5n fn7 p its period on the Moon where the acfojk*f v57*6b2p nrgbd fr- .nceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mas wy;ksv 5 qwm/4kp4,kps 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 sphere) hak/5pk;v 44km qw,s wypd been attached to the string instead?

A simple pendulum consisting of a 20-g mass has initial angular displacement ofpfq/+ddw/ 8vfxu i 1)k 8.0e. It oscillates with a period of 3.00 spd//8i)qf+k vd fxw u1.
(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 y1j tenf:t18a7hy0ukwave at a given time. The frequency of the wave is 120 Hz. 1tjy:ue7 nfa0ht 81yk What is the amplitude?

  Figure 11-2 is a "snapshot" of a walvf *8at1knx)ve at a given time. The frequency of the wave is 120 Hz. n fx8v*k1at)lWhat is the wavelength?

  Figure 11-2 is a "snapsy,qtaq a*i:pzk0,y x d69,ya thot" of a wave at a given time. The frequency of the wave is 120 Hz. What is tytq qk yd,x690a* tip,aza:, yhe wave speed?

  What is the frequency of a wave which has a perioyor2qg + 4csb7d of 6.00 ms?

  What is the period ofzc 7zm s:5rrjz+ i9fi( a wave with a frequency of 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz and a wavelength ou1oy, 5ghqa d. .fd8bnf 3.0 my.,.g d hqn u51afb8do?

  What is the velocity of a wave that has a waveleng9av3l/; bs 2bmp9vk yjth of 3.0 m and a frequency of;bay2bksv3pm/lj9 v9 12 Hz?

  What is the frequency ofieclh66pb6xph 9)()ifn k t4 m a 2.5 m wave traveling at 1400 m/s?

  A piano string of linear mass density j38in uaqp;4u dpq9m0irs8( r0.0050 kg/m is under a tension of 1350 N. W3s8qipqrpj8a rnu;m9(0 u 4di hat is the wave speed?

  A string of linear density 6.0 g/m is under a tension of 180 N. What is thlwgwk(5u c8kn v2c05 ue velocity of propagation of transverse waveg cw5v0u8w25luckn(k s along the string?

A wave whose wavelength is 0.500 m is traveling down a 500 m5 brl2* a:dcfblgv (t. long wire whose total *rvg5f:2 (dabctb.ll 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 tb v +b34m0 p(p,mtigua transverse wave on a 2.0-m long string fixed at both ends is 200 m/s. Which one of the following is no,t+4vp(i 0tump bm b3gt a resonant frequency of this string?

  If a guitar string has a fundamen ww fpsyquf2;-/,pj8q j/g8z l7i6 ahdtal frequency of 500 Hz, which one of the following frequencies can set the string into resonant vib-wqh,dfjl 7ia ygs62jzpq/8uw 8/f;pration?

  A stretched string is obs wdb;s)ktmmo 0 jo/nyq r.0-+gerved to have four equal segments in a standing wave driven at a frequency of 480 Hz. Whatymq+ m0owg )o0sbjrndt- .; /k driving 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 qwl+19h*eg idstanding transverse wave pattern containing 3 loops. What frequency is needed if the standing wave pattern is to conthg+li*q1 ed w9ain 4 loops?

  A string of linear demnm0 kutzqw)r +)ww4k (u,w8m4 hg *dlnsity 1.5 g/m is under a tension of 20 N. What should its length be il*w8r wzm+ 4))k dh (unwmkgw,40tmq uf its fundamental resonance frequency is 220 Hz?

  Find the first three harmonics of a y: 3 tu tg*ddqxt i8sc:im161pstring of linear mass density 2.00 g/m and length 0.600 m when it is subjected to tension of 50.t i318:6 xsdcuidq* ypgm: 1tt0 N.

A string of length 2.5 m is fixed at both ends. When the string vibrap,7y*xv) 0tipczc knzg 7/b 5ztes at a fre p*/b gv,7ztnz zy ci7k05pcx)quency of 85 Hz, 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.