The time for one cycle of a periodic process +enlew;g7i0 a is called the

  For a periodic process, the number of cycles per unit time is calledx tnp/n 5 bo60c1oevp1 the

  For vibrational motion, the maximum displacement fro3 dxjq/3 .f kzq*3m x8t5cgnvfm the equilibrium point is callxd833/tqk n5qcm .f gvf3 *xzjed the

  A mass on a spring undergoes SHM. When the mass is at its maximum displakle*wb 6/ tk1z*3i, e08mjtx mw mbxk: //twtbcement from equilibrb/mbb1 w3,tmkk8k zt*e0 /:m*t wl6xtwx/i je ium, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass passes th-rct4 n a(2gbjrough the equilibrium position, its instantana g2-4jcrbt(neous velocity

  A mass on a spring undergoes SHvve-y :v th41kt7 r(qnM. When the mass is at maximum displacement from equilibrium, 4vt q-ner7 (ky vv1h:tits instantaneous acceleration

  A mass is attached to a verticaltehmk ,qzu3/go t 9p* fmp97- eca,wn+ spring and bobs up and down between points A and B. Where is the mass located when i9*m ,+hokf epmp zgq 9-c,nte7/wt3uats kinetic energy is a minimum?

  A mass is attached to a vertical spr1 iimcol;yjtak5 6k)5ing and bobs up and down between points A and B. Where is the mass located when its kinetic energy6 1yo;ikajiltkm)55 c is a maximum?

  A mass is attached to a vertical spring and bobs up and down between points Am1 s)g3.x;d e ml,(*v7vb 8x dlbyrdra and B. Where is the mass located when its potential e lmdb(.eg x sdv)8ya*1r; r7b3x mld,vnergy is a minimum?

  A mass is attached to a vertical spring and bobs up ag fgz;u0f vg;/ rv f+o5:p:iafnd down between points A and B. Where is the mass located when its poten50gf/r iou;af:vzg;gf +:fvptial energy is a maximum?

  Doubling only the amplitude of a vibrating masunon* 0a/l3 qfs-and-spring system produces what effect on the system's mechanin l*0a/nq ufo3cal energy?

  Doubling only the mass of a vibrating mass-and-spring system prodaicn (-*3mgwa5,w iap;ckg2u hpwq jmk81)3 huces what effect on tnhga)u2wq8m gia p3(k3mw aj*1, ;-5ckwihcphe system's mechanical energy?

  Doubling only the spring constant of a vibrating mass-and-spring mab 6f8qy1s3 ou ko97ssystem produces what effect on the system's mechani1oukyo9a s7q8sbm 6 f3cal energy?

  A mass oscillates on the end ofia k hs7.,zs5v/f* jor a spring, both on Earth and on the Moon. Where is the period the grea,hjz 57.rvofkias/ s*test?

  Increasing the spring constant k of a mass-and-spring a)2bukt a+5bym q. t1wsystem causes what kind of change in the resonant frequency of the wb) abu.tkm2 y1+5tq asystem? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system causes b9c(vlaf:gyy7id 7 s2 what kind of change in the resonant frequency of the system? (Assume no change in the system's sy(y:adiv2 l7g9 bc sf7pring constant k.)

  Increasing the amplitudkl2pj 69oi2,6pd dt0gl de) xke of a mass-and-spring system causes what kind of change in thtpl,dd 6k6 92 eol0)xpjigd2ke resonant frequency 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 of a mass M attached to a weightless strfrn )4bq5)8a3l ec esuh *b/pring of length L. For this system, when undergoibf5e8)cu/rb)*h q3 s anpe4lrng small oscillations

  When the mass of a simple pendulum is tripled, the time requirm+.yjj8rbvur )v7+g;(t0df / a hgfvced for one complete vibrativj r0(dc ya+v;.jm/tg 8f fbr+g7hvu)on

  Both pendulum A and B are 3.0 m long. The pm5l owf zcf4m nzf9r87(jg*3g eriod of A is T. Pendulum A is twice as heavy as pendulum B. What is the period o5*nmj f(czowr9 lz fmfg43g78f B?

  When the length of a simple pendulum is trip5dedazwj5qir;.( / a vled, the time for one complete vibratioirwj zddq 5(av;. ea/5n increases by a factor of

  What happens to a simple pendulum's frequenc+f6xtgl 26 q;p ilun6ry if both its length and mass are incr 6t2rfp;ul ix6l+nqg6eased?

  Simple pendulum A swings back and forth at twice the frequency of simple pende3 mmi6o *tv+hulum B. Which svm*3hmi+te 6o tatement is correct?

  If you take a given pendulum to the Moon, whero -pu5 /vqtym; 1cn0tae the acceleration of gravity is less thana q-5;ptv/1y nuomtc0 on Earth, the resonant frequency of the pendulum will

  Curve A in Fig. 11-1 repren3haah9 .qbz1sents

  Curve B in Fig. 11-1 represi :t2)f;fqxl kents

  Curve C in Fig. 11-1 rc1 mj*t04 n /s-5z 5s2ko-vdj cdgqryjepresents

  For a forced vibration, the amplitude of vibration is foij,ncq82fq umx2f4 +zifgh0 z.t iv2)und to depend on the

  In a wave, the maximum displacement of points of a0apw3p+z 7zmbe 6ok66jl hp5the wave from equilibrium is call z p0e hozwmjaa5p6bp6+l36k 7ed the wave's

  The distance between successive crests on a wave is cav0(- cv vk8 k ynrq:yum;;kit6lled the wave's

  The number of crests of a wave passing a point per unit time is called tcns )ugzj8/: de*5wy2y dcm)yxt , 3cshe wave's5euc ycy*dc)zxs n)/:tmjs8y2,dw g 3

  For a wave, the frequency times t08p d *otoghkd3u)v)s1 ;sgfphe wavelength is the wave's

  The frequency of a wave increases. What happens to the distan1 io2;lsnf4 doce between successive crests if the speed remains constant4soi;d1 flon2?

  A wave moves on a string with wavelength l and frequency f. A second wave o v.a-e7tffjw/*3 bwgbn the same string has wavelength 2l and travels with the same velocityw/.jvf3w7 b*b- etf ag. What is the frequency of the second wave?

  Consider a traveling wi r0 5d p9pl5h,foq*uoave on a string of length L, mass M, and tension T. A standing wave is set uqoohdp0ui9*f, 5pl 5rp. Which of the following is true?

  A string of mass m and length L is under tension T. eb -,6gx1z*jt fjdz3q The speed of a wave in the string is v. What will be the speed6zfz* q g3j,-bx jetd1 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 wakl1jzv szx/h1ld yy 7x 48o83vve in the string is v. What will be the speed of a wave in the string vxyo8j17 l k zx48y dhvzs3/1lif the length 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 id+)rx w (-jgk f*ncm,1kwp;3z ;hbyu0ey0wdin the string is v. What will be the speed ogx*y ru-p;30+dkkwhmw ,injczd 0; 1()fwyebf a wave in the string if the tension is increased to 2T?

  In seismology, the S wave is a transverse wj3n:;br 00mei )yowvbave. As an S wave travels through the Earth, the relative motion between the S wave and tiv bm0e3n:b0or;yjw )he particles is

  In seismology, the P wkn 1l34lj )fjy r)vzi2ave is a longitudinal wave. As a P wave travels through the E3 y4fjl1riv)klz )j2 narth, the relative motion between the P wave and the particles is

  The intensity of a wave 7- )trtkh m1axis

  A wave pulse traveling to the right al oec*br/.xt: y(c; mbys 7yn5wj(r-rg ong a thin cord reaches a discontinuity where the rope becomes thicker and heavier. What is the orientation of the reflect:7n(bce /yx;bgo .w*r - jy(r5tmyr sced and transmitted pulses?

  Two wave pulses with equal positive amplitug ;.aw+ u*.ij4n9+nj0kajys zjaf 0zkdes pass each other on a string, one is traveling toward the right and the other towar;a..n*zzj4a nu k0 wia0ygj+k+ 9jsjfd 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 travelin(+)d ft+edt4uumh (ugg toward the right has a positive amplitude, while the one traveling toward the left has an equal amplitude in the +g duf)tue ud+th((4 mnegative direction. At the point that they occupy the same region of space at the same time

  Resonance in a system, such as hyit864dd p pvo;40iia string fixed at both ends, occurs when

  If one doubles the tension in a violin striujblux 9/8z2xlek 83p ng, the fundamental frequency of that string will increase by ue2pjz k38/9 bx llx8ua factor of

  What is the spring constant of a spring that stretcj;qmu1:c )pbpu+:ix 5c) jp 04xzr jmmhes 2.00 cm when a mass of 0.600 kg is sus+ pjxuc 5r1::xjzp4 qp);)b jmu0cmimpended from it?

  A mass is attached to a sp c-y;ig/x+/vtnka fu7ring 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. y-txf n/ +ag/uic 7v;k 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 *6x*;s tdhli:br zpz1 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 ; z *:bpxzstli1hr*6dto its equilibrium position when it is oscillating. What is the period of oscillation?

  A mass is attached to a sws 5be8 tzw-xk pf cr(y2oblwd9,7m+)pring of spring constant 60 N/m along a horizontal, frictionless surfacdxwk e7bscfz8wm(tw+yb2p9 rlo)5 - ,e. 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 frequency of oscillation?

  A mass on a spring undergoes SHt.)0q8er fu/ aaaoc.v/b)a t rM. It goes through 10 complete oscillations in 5.q 0 8.aa.r)/etocvtfu/r)b aa0 s. What is the period?

  A mass vibrates back and forth from the free end of an ideal spring ta:zx. x fr -cj ohedjtu9i,e1h2zx 5:6k2l s.of spring constant 20 N/m with an amplitude of 0.30 m. What is the kinetic energy of this vibrating mass when it is 0.30 m from its equilibrium positio:2lxu j sr cj zf9 .tx6ehxz 52oi,a1d.e-k:htn?

  A 0.50-kg mass is attached to a spring of spring cos p8 pl*z,dj+qnstant 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. qp8*,dz +jlsp What is the total energy of the system?

  A mass undergoes SHM with amplitude of 4 c/sibppm 08 fd2m. 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 t/if0mp b8pd 2she energy of the system now?

  A 0.50-kg mass is attached to a spring of spring constant 20 N:1- +iw7lh+we)qxzsqp5shb 5d 9phi k/m along a horizontal, frictionless surface. The object osciz qe+ xsbhpw):5psi9qw1h+ lk d7-ih 5llates 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 y9h8 6w48dgqvt og, ym/ycf;zto 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 what location d4v ,w 6/qcy g go88myt9fhy;zare the kinetic energy and the potential energy the same?

  A 2.0-kg mass is attached to the end of ara .kioa; dhx3:rm )cw4 :;eq c*gs,b)ygz hg/ horizontal spring of spring constant 5ic)kahx;43h);rbgycmde,w/:* aggrszo .q : 0 N/m and 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 uaz ydfy. 4d+s+;to/j:ezd4pa k8gf/of a horizontal spring of spring constant 50 N/m and set ozjy4f utz/fy :.4p dsd;kada+e8+ /ginto 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 qjol,k72 g4ft:eaz- (m a.g.d/sxkdm free end of an ideal spring of spring constant 20.0 N/m with,atkja s-ox g47 e.fk:z.d/ml2dm q(g an amplitude of 0.250 m. What is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring system is displaced 10 cm from its(r (i,rbduzx/8p-a bm equilibrium position and released. A freque8rz-( bim/b ,ar (pdxuncy of 4.0 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 sp+sm.0u;f7bn;z p wv qhring of spring constant 10 N/m. The object is bfv 0 sqph7 mwn;z.u+;displaced 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 obgwi5c ;vid6f m .f 0rccxxx*np3 s/(:lject is di3cg50r xc6d;i: wx.mvfs/*pn lfxc i(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 sn v1m mn.y .,z*(kumgupring constant 18 N/m, displaced slightly from its equili,ny. zkgnuu1m(m*m v. brium position, and released. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequency of 1.27 Hz whetr-da* i; 2qjly ,n.9l moy5szn displaced a distance of 2.0 cm from equilibrium and releaseq ,dy5l*9s nty; z .liora2-mjd. What is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to different springs. Mass A vibrates with am :l7sdmyfd eqy0w97.e plitude of 8.0 cm at a frequency of 10 Hz e0d.wy 7l7d:e fsq ym9and mass B vibrates with amplitude of 5.0 cm 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 equilibriu nf.(8nnj yi*nm 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 tj(ny.inn 8f n*he period of oscillation.

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass stre 9cwc p3uaxab /ju,ny1q 814wdtches the spring 2.0 cm downward. The mass is then pulled q,84yd/a 9cc wuxuapbj3n1w1an 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 5k;h ng a3iqhr1l8 f6fa spring. 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 36 1flh fiaqnkgrh5 8;released from rest. Write down its equation of motion.

  An object in simple harmonic motion obeys tpsv20k qrur7v )cym25he following position versus time equaksc2yp 2mvu57 rqv0r)tion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the followinfr /gqaye/v03 mldk o53pp+,l g position versus time equati305mpf/opv a l q+lgdr3y /k,eon:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic mdfba -w i,en;77ys.v 3tpq 5szotion obeys the following position versus time equafn vd.p-sz, 3;w7yeqat5 sb7ition:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple harmonic motionc(w.t 8nxc; ok3c:;o ahe1hwc according to th hent.:8c1c chok;ww c(oa ;3xe 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 o g -mql:*f-bwxb 7v2to:sf;nx f 20.0 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 spring is stretched by x:-twb;-*b7fs xml: qv go2n f10.00 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 egd*k 5 vidw92g2yjq( 8.0 s. (a) What are its frequency and period o(qj gd wkd9ve 2gyi5*2n Earth?

  A 3.00-kg pendulum is 28.84 m long. What is its period o(1ienvr /t l,in Earth?

  A pendulum has a period of 2.0 s on Earth. -6) ,ao 6kkonr egkz8fWhat is its length?

  The pendulum of a grandfather clock is 1.0 m long. What is its period on the E0eku gg. gvh7q3/1,u (tk3zln- ttjyxa gt3l ktgu0e-71.g/h,qy( t kjnuz3xv rth?

  The pendulum of a grandfather clock is 1.0 m long. What is its periodb o5hzgcox p-4gs,z+6 h,s 9nz on the Moon where the acceleration due to gro4oz 5psnz c9+,gsg-h zhb,6x avity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attached to a mass3inq;f 96aa:jq yot g6less string. When the mass is dis ; aoigt9 af:yjn66q3qplaced 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) had been attached to the string instead?

A simple pendulum consisting va v4ngh 0a(;+wvnrd6of a 20-g mass has initial angular displacement of 8.0e. It oscillates with a period w;6vn(vvdgr4 0+ aahn 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 atr; dp3. df3vrz a given time. The frequency of the wave is 120 Hz. What is th3v. f d;3prrdze amplitude?

  Figure 11-2 is a "snapshot" of a wave at a givel s keo0kp3.imab 6(z(n time. The frequency of the wave is 120 Hz. What is thzs.( k kp 6om3ba0ei(le wavelength?

  Figure 11-2 is a "snapshot" of a wavr 756qndfm/mk) 8g bm wa gcy(elhk510e at a given time. The frequency of the wavm(web5md 01 fqyl86r7/)mhggck a kn5 e is 120 Hz. What is the wave speed?

  What is the frequency of a wave which has a period of 6.00 mj9l /mak1 gkj/2mj ih2s?

  What is the period of a wave wihwm ./fv tj,beykur0at6i;2. th a frequency of 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz and a w tsaf0z/w54xf zq 1*l zs3fq7mavelength of 3.0 m?3 x4 ffsfz05q1 sa/*zq wzml7t

  What is the velocity of a wave qqk zuf0( ev70ho;m/w that has a wavelength of 3.0 m and a frequency of 12 ;(0zeqqufmk7vwo /0hHz?

  What is the frequency of a 2.5 m wave traveling a8. f;rsoxirx )t 1400 m/s?

  A piano string of lif.yc:1vuat:u pxu + nyc9vrh 6+j3-cunear mass density 0.0050 kg/m is under a tension of 1350 N. What is the wave speedyf9:vu6vacc-p3 hu y+ 1uur j:.cnx+t?

  A string of linear density 6.0 g/m is underi kyx/ xgjy0 :g(qf74r a tension of 180 N. What is the velocity of propqkx:(47 g0g/ j yyfxriagation of transverse waves along the string?

A wave whose wavelene-e 4njwi. 8l :s9jty+gb5irwgth is 0.500 m is traveling down a 500 m long wire whose total mass isybwgij j9+in4t.8l 5e: wre-s
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-kti z0 d*bs9jfj ag6a:b g7i4 of a transverse wave on a 2.0-m long string fixed at both ends is 200 m/s. Which one of the following is not a resonant frequency of tf :67 gjatk i9sgdizb4j*0 b-ahis string?

  If a guitar string has a fundamental frequency of 500 Hz, which one oyv+( alioem u+yxib08wk 8h)1f the following frequencies can set tb) lvy +81mxhoye k(iwu80i+ ahe string into resonant vibration?

  A stretched string is observed to ha2tp vgiff)2hh85dg: oq g:l(wve four equal segments in a standing wave driven at a frequency of 480 Hz. What driving frequency will set up a standing wave with five equal segmen: gd228ol (vp t)hhwqf5gi:gfts?

  A string, fixed at both ujg9ke+u1tv 5ends, vibrates at a frequency of 12 Hz with a standing transverse wave pattern containing 3 lo9t veuu 1g+kj5ops. What frequency is needed if the standing wave pattern is to contain 4 loops?

  A string of linear densi -4zlqq jl)l1dty 1.5 g/m is under a tension of 20 N. What should its lengq zlljl1q)4 d-th be if its fundamental resonance frequency is 220 Hz?

  Find the first three harmonics of a string of linear m np1i,a/o evr0ass density 2.00 g/m and length 0.600 m when it is subjected to teno ina/0v,rep1sion of 50.0 N.

A string of length 2.5 m is flu )z) rdi47 wr)h8sixk:zwo4ixed at both ends. When the string vibrates at a frequency of 85 Hz, a standing wave with flrsi8)woi74)drkz4w : z h)u xive 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.