The time for one cycle of a periodij e1 *q 9w8)kn;qocuaec process is called the

  For a periodic process, the number of cycles per unit time is call; ls8/csj pl st:8rtf1ed the

  For vibrational motion, the maximum displacement from the equd8-gqoqgfau q34/,+xodpb m5tod-uupcq58 *ilibrium point is called t- dpa5dgtoc+qq bo/dfu-*5ou,mgu qpq88x 43he

  A mass on a spring undergoes SHM. When the mass 7 zmdnrh7u)xpk)v2ne ):rkpl kn 5l-8ok2j s.is at its maximum displacement from equilibrium, its in kk-nnlz ) vmr e5p72d.:jhnxks ukl8r) p)o72stantaneous velocity

  A mass on a spring undergoes SHM. When the mllfzq a .)7eb6ass passes through the equilibrium position, its in.le)qzf7b6 l astantaneous velocity

  A mass on a spring undergoes SHM. When the mass is at maximum displacement fr3q9t7c kuv/ yoom equilibrium, its instantaneousk97qct /oyv3u acceleration

  A mass is attached to a vertical spring;4soos2 g zax0 -rrh+d4ac9/j kdfi,h and bobs up and down between points A and B. Where is the mass located when its kinetic eneri40a+ocx9 dr 4hg oh,jf2 s;-ak/drszgy is a minimum?

  A mass is attached to q7ob jg5,tjokr/ dn18a vertical spring and bobs up and down between points A and B. Where is the mass located when its kinetic en,bko gt 1oj5dq/7j8 rnergy is a maximum?

  A mass is attached to a vertical spring and bobs 48rkf*)z )yzwz/gnf wup and down between points A and B. Where is tz/k w* z4nfrwzg8yf))he mass located when its potential energy is a minimum?

  A mass is attached to a :tpf8s )cssuwr1 ta1/ vertical spring and bobs up and down between points A and B. Where8/a)1f u p 1wsst:trsc is the mass located when its potential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-spring systb, qbw.wf;6ewp tt y y:3n1y1hem produces what effect on the system's meye1 .3 ,pnywtbbyt:h;1q wfw6chanical energy?

  Doubling only the mass of a vibrating mass-and-spring system prody+*qo w cby0 b/84aenyuces what effect on the system's mechanb o 0be8ynq*4w/a+ycyical energy?

  Doubling only the sprpag bqasxqw(vzk)s*4003 4r dayz / /uing constant of a vibrating mass-and-spring system produces what effect on the system's mechanidvw4q/0*aq s yx zbrukpz4 3a)s0(a/gcal energy?

  A mass oscillates on the end of a spring, both on Earth andb8,k nlj-gym6)cw fxr 1m ly:7 on the Moon. Where is the pbr)y cglxy71fm ,jn:m- lk6w 8eriod the greatest?

  Increasing the spring constant k of a mass-and-spring system n gqs,-g*dr0wcauses what kind of chang,w* g d0nqgr-se 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 4xerf t -v(:u.vka1 bjcauses what kind of change in the resonant frequency of the system? (Assume no change ba-u4v(:1jfk. rxe vt in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring syste3tw4 tbffj/6 tf9951wboof up ,0lhmrm causes what kind of change in the resonant frequen/1twtup o3l 6 9jfrtm0b f4h59fwofb,cy of the 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 o b4gfp2nkna q 8/ea.u9f a mass M attached to a weightless string of length L. For this system, wk.u 4q 8gn 2p9aa/fbenhen undergoing small oscillations

  When the mass of a simple7p9j, ks9vr uhz6i (mb pendulum is tripled, the time required for one complete p,irmu7 k96jszbvh(9 vibration

  Both pendulum A and B are 3.0 m long. Thexko* t:0 b(.a;8zyp bf 1bznlg period of A is T. Pendulum A is twice as heavy as pendulum B. What is.b(zf :ab lnopkz081*bt yx ;g the period of B?

  When the length of a simple pendulum ix c*fft.,f;szc/ 8kkis tripled, the time for one complete vibration increases by xftz csi 8f. k/c*;,kfa factor of

  What happens to a simple pendulum's frequency if both its lengthnz j0ic+r4s6xg*j+ il+q6 vjx and mass are incrjslv0gjx+c66ij z*qixr4+ n+eased?

  Simple pendulum A swings back and forth at twicz v n v z5+wf17-vjhgn27oc/vze the frequency of simple pendulum B. Which statement is correct7v5nw-jchz+vo v1fz n/7vg 2z?

  If you take a given pendulum to the Moon, where the accelerat i,yvn;una40znms0 6j72e ptxion of gravity is less thapz2nevns6 m4ui,a;t0 j 0y 7xnn on Earth, the resonant frequency of the pendulum will

  Curve A in Fig. 11-1 representsqins(b: f,j+0fo, j )m wek8da

  Curve B in Fig. 11-1 rxmj;tq.o/n/6n z55tvadiyg rd )x /6represents

  Curve C in Fig. 11-1 ryesvn- 0pv)j. hf pxg:4i2 fx8epresents

  For a forced vibration, the ,x*8cyn gi 3 gdfcw5/iamplitude of vibration is found to depend on the

  In a wave, the maximum displacement of points of the wave from equ6 .k0wqphn,nqa*v wb7ilibrium is called6 0qqpwh*, a7bvk wn.n the wave's

  The distance between successive crests on a wavep*uail 6,) izq is called the wave's

  The number of crests of a wave passing a pointqrwcpvgci2+i) 25+er per unit time is called the wave'2 2i wrvc+q5 pc+ri)egs

  For a wave, the frequency times the wavelti v41+c84otb vi3uz lr a;v.boyj;w5ength is the wave's

  The frequency of a wave increav: rhg .xdl)1n9eu:nc ses. What happens to the distance between successidl)9: u:hn .1excvngr ve crests if the speed remains constant?

  A wave moves on a string with wavelee*t 5t:ejyv ;bngth l and frequency f. A second wave on the same string has wavelength 2l and travels with the same velocity. What is jt;*tev5y b e:the frequency of the second wave?

  Consider a travelingkzy(ei: d3pnv .xv96 igc63ua wave on a string of length L, mass M, and tension T. A standing wave is set 3pxnedz93v . iiv: uy 6g(ca6kup. Which of the following is true?

  A string of mass m and length L is underu1a d v/ag.ys;xmc-a0 :o6 kaz 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 mass of the stri-1a0ao vgka :yz;c6u/xa s.mdng is increased to 2m, with no change in length?

  A string of mass m and length L is under tension T. The speed of ayqj*d66afy/p)j 9x: *,ty b jfjsdq a, wave in the string is v. W:df ja/ s,dbtj*fqj,x)y * 66yyq pa9jhat will 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 lecr*edma*p.w: / wm45p 1udkoh ngth L is under tension T. The speed of a wave in the string is v. What will be the speed of a wave in the wp5 1uw *:d /apdmkh*ec4rom .string if the tension is increased to 2T?

  In seismology, the S wave is a tr-*nhby 9fobz .ansverse wave. As an S wave travels through the Earth, the relative motion between the S wave and the par* z9fno.y h-bbticles is

  In seismology, the P wave is a longitudin5 n0/eve1*zo4 fn m*1wsw ,eqo ukm/nqal wave. As a P wave travels through the Earth, the relative motion between the P wave and the um1f,enkvz4womqq0 sw1e 5on/*e*/ n particles is

  The intensity of a wave f8w+ce1eqcc600 v y3p-zdyv 4x v.rcris

  A wave pulse traveling to the right along a thin cord reaches a discont*. t)1flqfc97srjd jb inuity where the rope becomes thicker and heavier. What is the ds9t17rjc j) .f lqf*borientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass eac98l+ayc xde iak,w*u 1h other on a string, one is traveling toward the right and the other tow8kul*wc+ yx a,9 ed1iaard 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 righz/np wntv7ffm 7k0*x; t 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 spwp;mt /f fn7n*kzv7x 0ace at the same time

  Resonance in a system, such as a 7ee4:vvm q,zustring fixed at both ends, occurs when

  If one doubles the tension in a violin string, the funda9d2v2l 1jtbpx mental frequency of that string will il9 bpd12vt2x jncrease by a factor of

  What is the spring constant of a spring that stretches 2.00 cm when a mass ek1plo. (q6zu/(lk 3 ru oxez8of 0.600 kg is sul okux 8lq/ou p13eer.(zk(z6spended from it?

  A mass is attached to a spring of spring constant 60 N/m along a hi2 mfyb;9g: a;;seb 5vr9ldydorizontal, frictionless surface. The spring is initially stretched9d:yb;eiybsm; a 2;9fv g rl5d 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 6:wzwo6sxw .o r g:o4zspring 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 ta4s g66o:xw.owwrz: z okes the mass 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/cq2jwc,j67yjfq s s bslz3/yd -;xy 6 a9o0)uhm along a horizontal, frictionless surface. The spring ijyjlc3;2 sudabo6qsf6wj-,s zhc0)/ xy7 q9ys 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 frequency of oscillation?

  A mass on a spring undergoes SHM. It gymn2p3 1 (t kwqtx9xq3kyq b1)oes through 10 complete oscillations in 5.0 s. What ist qk(3pt y9)nm3xb2yk1 qw 1xq the period?

  A mass vibrates back and forth from the free end oc,p,mpqq tb 68f an ideal spring of spring constant 20 N/m with an amplitude of 0.30 m. What is the kinetic energy of this vibra6,t ,8p qpcqbmting mass when it is 0.30 m from its equilibrium position?

  A 0.50-kg mass is attached to a spring of spri xv+vq stx+o/6z/cdd 8ng constant 20 N/m along a horizontal, frictv xczt+6o/s d/d8+ xqvionless 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 with amplitude of 4 cm. The energy is 8.0 J at thib7/adj.r skk/ s time. The mass is cut in half, and the sy k7 r.bjd/as/kstem is again set in motion with amplitude 4.0 cm. What is the energy of the system now?

  A 0.50-kg mass is attached to a springv7;ovpvc33o ck n;bx*elv.:kzxwg2 0hs( 9nj of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a spnx gcse v3pl. 2:nv;b;03vw7 ooc *zjxk h9k(veed 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 along a)c o acvd04dabaorr 0 )ptq0:t3e;o1 a horizontal, fro aaqop3a 0ctd c:0))av e04o;bd1trrictionless 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 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 constant g1do /utl,b0l/mg .fg50 N/m a/gut /ll1gbd m.fg,o0 nd set into simple harmonic motion with an amplitude 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 consta40lt;kg/ * w) c.giwfokrdy)q nt 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the4 fl0ctq)iyrw;*w k)d. gg/ko total mechanical energy of this system?

  A mass vibrates back and forth vf7su.h09 8kg l2ksxtfrom the free end of an ideal spring of spring constant 20.0 N/m with anx g89.svktf027 klsu h amplitude of 0.250 m. What is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring system is(ds(za+b luks e3 ce*2 displaced 10 cm from its equilibrium position and released. A frequency of 4. 3s+c*( zbu2s(laed ke0 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 sprm 9+p81kr+ vwl ly cm5ale3ca;ing constant 10 N/m. The object is displacea;5c1w+ lr8kma+ ym9l elcv3 pd 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 5j n+clkwuy8u9 pm.ug78he 7eN/m. The object is displc8u e+ 98g5my npj77ul.hkweuaced 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 Ney2trl2oi- z9zh d z1 ra,/vm8/m, displaced slightly from its equilibrium position, and released. What is the frequencz9 18mh ez r,dvr2 itla-/o2yzy of its vibration?

  A mass is attached to a spring.85d 6hs.s wfdw It oscillates 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 by the dh56f8 s.wdsw mass?

  Two masses, A and B, ai pu:;6qs,x rqre attached to different 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 fre6iu:q prxqs; ,quency 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 siwi ea70**xejy kihe 4v) ;j4ftretches 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 periowe iv aihej7) ixf*40j*ky; e4d of oscillation.

  A 0.30-kg mass is suspended on a spring. In equilibr(3 ob-fozm qmf )3pqh.ium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additioofq 3b -3pf)m(mh.qz onal 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 massn +eud,/bwr3f stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and released from rest. Wrid n/rw, e+b3ufte down its equation of motion.

  An object in simple harmonic motion obeys the following position v, l++rtqrsy /s r)a4ccersus time equatis/t4+ + qrr,c) rsyalcon:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following position versus time c(ea b 4k0p, d1xz;gbmequa40 baxpc(k z;ed1m g,btion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following position versus time eqxs3s6n)/q poz0toqg / uatiso 3/6 n z)tqgxs/o0qpon:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a sruj l7;bwh 8z p10p7dz;c(bws pring executes simple harmonic motion according to the equation pb;wldc b0z rhuz87jwps;17( $y = 0.50 \; \sin (18\pi \times t)$ where y is in meters and t is seconds. What is the period of vibration?

A 1.5-kg mass attached to sprzm: bpfud;v 0; wn8n*king 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= 10.0 cm. kdnb0v;z; p *nwmuf:8 (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 frequency and perbr) g0),by i/3*,irgefc qbn. .wykyriod on y/bkybq 0*fnri b., w,yr3)r.g g)iec Earth?

  A 3.00-kg pendulum is 28.84 m long. What is its period oc n/ah4+s8vv m71jxu*qpd1u z n Earth?

  A pendulum has a period of 2.0 s on Earth. What is its lengk0 ugu w i3y94va5v2 va -yffihr*m97rth?

  The pendulum of a grandfatherzdq.8 yk0w7sg(tu5fn clock is 1.0 m long. What is its period on the Eat .zgw5 qnysd0(k f87urth?

  The pendulum of a grandft ,,gr-9kko gaather clock is 1.0 m long. What is its period on the Moon where the acceleration due to gravit- a9rg,kko, gty is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg zt2xih-5rj h cz0;; /pts:raxspherical mass 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 frequench:ph5;z r2sj0xzr ; i tx-ta/cy 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 initial anguled 8by e:7qo+4osnu zr7)-oy-k*n ndxar displacement of 8.0e. It oscillatdbudxoko4n- oz8*y)+q nn -7ry 7e se:es 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 frequency of the dk)jw;5gyd q(kc;+7kvzb t8swave is 120 Hz. What is the am;y;d7wkdg+ tjk)bcz( qs5v k8plitude?

  Figure 11-2 is a "snapshot" of a wavxqn)u s-;o+tb /0m yphe at a given time. The frequency of the wave is 120 Hz. Wht0; m-x nq)spbu/ +oyhat is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given tivdtuw zdu:6q 6bk01zb/ ;w;d5xbwyt, me. The frequency of the wave is 120 Hz. What is the watx 6b 0bubdkyt5,;vd dw:1z z6;wquw/ ve speed?

  What is the frequency of a wave which has a period of 6.00 m;s1)v fkedcajolp*a - h0u;y;s?

  What is the period of a wave wi*y6 b1 xod/ame*p pzo*th a frequency of 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 n 7/qbtx4;hktHz and a wavelength of 3.0 /47txh qn; tkbm?

  What is the velocity of a w pe7 en6 3m x4lv)bem7fjsp30bave that has a wavelength of 3.0 m and a frequency of b3v)pmeb06msf 7 3e7n elp4xj12 Hz?

  What is the frequency of a 2.5 m wave traveling4*y 7vb4fkv1/aek gy a at 1400 m/s?

  A piano string of linear mavte j09e*:oe8 pbzg x:ss density 0.0050 kg/m is under a tension of 1350 N. What is the wave spe:bx ov 80e9te*:pejzg ed?

  A string of linear density 6.0 g/1o oxl*;2gvjgb:e uy2dr4/x h m is under a tension of 180 N. What is the velocity of propagation/2budo rovexglj*y 1g:h;x 42 of transverse waves along the string?

A wave whose wavelength is 0.500 m is traveling down a 500 ymd.(7 +yup dw/ss/.xdw-ulx m long wire whose total 7/s yupdxx.(w yl.u-+sd dm/w 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 transversrxnf09y nfpx lm4290 nu5ao1w e wave on a 2.0-m long string fixed at both ends is 200 m ypfn1 00n9 9u54wno fmaxrxl2/s. Which one of the following is not a resonant frequency of this string?

  If a guitar string has a fundamental frequency of 500 Hz, which one of qy-nk 0 vsab 6z,;e/qathe following frequencies can set the string into resonant vibraq,q;ky nbz0 sav/ e-a6tion?

  A stretched string is observed to f9jdf: 2 l+9y5z ,2in tsbhszohave four equal segments in a standing wave driven at a frequency of 480 dso+tf, z2:yl599inbh 2jszfHz. What 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 wetl5ttsr/o *9ith a standing transverse wave pattern containing 3 looot*rt /s9l5et ps. 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 tensionwtl9 ggm4*qdvm f0a: - y1qjp q+d)wd. of 20 N. What should its length be if its fundamental resonance frequen)pf1 a*wd4.dq+qd t-jwgq mmvy9lg0 : cy is 220 Hz?

  Find the first three harmonics of a string of linear mass density 2.00 g/m a99hk5 4apimxwybvgl:o 5 4 k:wnd length 0.600 m when it is subjected to tensgm5p4 lwi4o:xw :k9 v kyab5h9ion of 50.0 N.

A string of length 2.5 m is+.bzdcd 7ql.3vmn8b 7zj:jt o fixed at both ends. When the string vibrates at a frequency of 85 .olb+7qt:j 7j.z m38dzcv bd nHz, 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.