The time for one cycle of a periodic process is callhn bi2rh ui/c )zee,+1ed the

  For a periodic process, the number of cycles pyjky3fryb;pr:/xy 1 m72kw /der unit time is called the

  For vibrational motion, the pbc5sxy86b+rn dp /*n m tyu3:maximum displacement from the equilibrium point is calnp u58+sr *dybnx6cb p /3yt:mled the

  A mass on a spring undergoes SHM. When the mass is at its maximum displacemen0bkp e53:lmfi3sdt ,hkp ;m7y t from equilibrium, it35k:s03pme, 7mb pd;k lf hytis instantaneous velocity

  A mass on a spring undergoes SHM. When the mass passes through the equilibril+zcroj(st- -um position, itscjlzo- -+s (rt instantaneous velocity

  A mass on a spring undergoes SHM. When the mas1nhi typf g.)5s is at maximum displacement from equilibrium, its instantaneous acc.tpfn1y5 )h igeleration

  A mass is attached to a verticale-d/3oc fvq n1/,dele spring and bobs up and down between points A and B. Where is the mass located when its kinetic energy 3de,q /do1vnc/ efe-lis a minimum?

  A mass is attached to a vertical spring and bobs up and down between po,f( 0 b; wjjls,vmgj;q 2(ywzlice9f)ints A and B. Where is the mass located wgjj ifsy2 meb;l q(,cl v(wzj);, 9fw0hen its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up and down betl axfwb7:z1 7wween points A and B. Where is the masswxa:lbf7 7w z1 located when its potential energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down between * ejwn ;g17h oql+b-xuj6(t ahpoints A and B. Where is thnwgb*e1;hj -6 +(jqx u7lhtaoe mass located when its potential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-spring system produces /gowhf; (se r txar3 5),eazp6what effect on the system's mechanical ene)6frazgox setw/hp,3( 5 ar; ergy?

  Doubling only the mass of a vibrating mass-and- wmo.t1z6vp, 03ov errspring system produces what effect on the system's mechanical ene3 rovez0 o, t6r1wv.pmrgy?

  Doubling only the spring constant of a vibrating mass-and-spring snyqt) ql0uh2; ystem produces what effect on th2 ;uyth0nqlq) e system's mechanical energy?

  A mass oscillates on the c,szp6jwy/ +5 vcs6+d d1i cmy 1q0pfmend of a spring, both on Earth and on the Moon. Where is th +1+y065ivmw1 sqz j,/pm fycdcpcsd6 e period the greatest?

  Increasing the spring constant k of a mass-and a(3mlw 5pdi4v-spring system causes what kind of change in the resona m(lw vp3d54iant frequency of the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system m jspgte 8u2c.o:w:a7causes what kind of change in the resonant fre2:uao.8m 7:ctj sg pewquency of the system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system ca tk8k5ad cyp (hj2grw;i4*9vs uses what kind of change in the resonant frequency of the system?(ck g8pk 9w2;hdij *s v4ry5at (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 zo;q;z+uu;;zzcq 3 k h4;uve nattached to a weightless string of length L. For this system, when undergoing small osci zq+hze;;qukuzn;;vc z4 uo;3llations

  When the mass of a simple pendulum is trit,*fjwyeb rb+ ib1x ;4o5 d8dlpled, the time required for one complete+ybi4,1 w jb do;r58*dtflbxe vibration

  Both pendulum A and B are 3.0 m long. The pe*a.dt.zlhd5an c(w- jo ym f+3riod of A is T. Pendulum A is twice as heavy as pendulum B. What is the ot(+a 5l jnfwdadcz3-. *m. yhperiod of B?

  When the length of at 2bne*c)t1)kzuy /slw +ly5n simple pendulum is tripled, the time for one complete vibration increasesl/*n5zt u c yk)e+ 1n2ybs)wtl by a factor of

  What happens to a simpleru mg*3 +(revp pendulum's frequency if both its length and mass are increag m(e+ur3p rv*sed?

  Simple pendulum A swings back and forth at twice the frequency of sirv6-tx8,gk mfop w;+hmple pendulum B. Which statemrm6 pho, f+ w8-xv;tgkent is correct?

  If you take a given pendulum to tb5uf4;p 4s+tz 4xgis4upw1ymhe Moon, where the acceleration of gravity is less than on Earth, the resonant frequency of tpt4ium+ ux44zgb5spf4 1wys;he pendulum will

  Curve A in Fig. 11-1 reprc 0-w6l4l, obr0y,unz obaak k zo632aesents

  Curve B in Fig. 11-1 represen/- vg37w4 r.n*/ yjn sqcxkrhtts

  Curve C in Fig. 11-1 reprh 0a zk*jlca;t0a s+4tewm48resents

  For a forced vibration, the amplitude of vibration is found to depend on0jf4my1g1vao-h 2 m xh the

  In a wave, the maximum displacement of points of the wave from eqd fto56ftc3; qjcrac+*-95jz vs 8 nrquilibrium is called zrf5ct 5-c jd86 +sat qcjrnv3; qo9*fthe wave's

  The distance between successive crests on a wave is calledx ( kfzhuid izd9--5/p the wave's

  The number of crests of a wave passing a point per unit time is called the wave'pjy 7yv 7k1jb/dsu f4xz z2)l3svlf/4j)u pjbxs7 kz1 y2 3d7zy

  For a wave, the frequency times the l2xw u:-byfo7yk- *5 ,asbu*alnx:tjwavelength is the wave's

  The frequency of a wave increases. What happens to theep tyf 7ee1-/epeabi*;h5*o oy9yc-w distance between successive crests if the speed remains c;e7-y 5teyio**1fe/9bw o aph-eepcyonstant?

  A wave moves on a string with wavelength i+l 7x9k/zxwv l and frequency f. A second wave on the same stringi79/x xzw vlk+ has wavelength 2l and travels with the same velocity. What is the frequency of the second wave?

  Consider a traveling wave on a string of length L, mass n1m :,pri gc:ybq1 -dxs+ej;lM, and tension T. A standing wanm;cis:+ xd1l:e1brg yj -qp, ve 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 wave in th +i(.o rptkf dev8x1mih.qu* *e string is v. What will be the speed of a wave in the strinri8to(ihpuvf*ed. xqm k *1+.g if the mass of the string is increased to 2m, with no change in length?

  A string of mass m a:6jrg m;l6q.aqie* n5ul jka.nd length L is under tension T. The speed of a wave in the string is v. What w;.5lijk gn6: rqea ljum6.qa* ill 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 length L is under tension T. The speed oxdy .j33:fee fulmw(:f a wave in the string is v. What will be the speed of a wave in the string if the tension is increased : 33me(e:.ffdlw j yxuto 2T?

  In seismology, the S wave 0h4rf7qiz1e: sh,/x.xa7 rvo m -ushvis a transverse wave. As an S wave travels through the Earth, the relative moaxr7 h7s0if xhv,q4u/:ze hms v1 r.-otion between the S wave and the particles is

  In seismology, the P wave is a longitudinal wave. As lgbkh qsv:4,viqh6k-7f h6u 2a P wave travels through the Earth, the q4ufkhhv:7 6 q2i khl6bsv-,g relative motion between the P wave and the particles is

  The intensity of a wave ikn il/5k7sh;3km p p;vs

  A wave pulse traveling to the right along a thin cord reaches a ds-6lvk 8c5e chiscontinuity where the rope becomes thicker and heavier. What is the orienta8evc l5hc6-s ktion of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each otj.t/w vc) ;cnqjy;;zther on a string, one is traveling toward the right and the other toward the lvcnt.j y/ tc;w) ;;zqjeft. 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 triy (lp71*sj muaveling 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 ymsiuj1(pl 7*the same region of space at the same time

  Resonance in a system, such as a string fixed at both ends, occursul4 jy -;itzd k i7h*nkau/e6( when

  If one doubles the tension in a violin string, the fundamental frequency of t41u cpuw6hn2d ko m+ n45tk m96ku1rbthat stringpruu k+b4n261k ut dmh9 mtwc 6o541nk will increase by a factor of

  What is the spring constant/rk1rj1k ;lw 0xi7rtq4it k +o of a spring that stretches 2.00 cm when a mass of 0.600 kg is suspended from xr1 kt0ikwi/l7qj 1kr+rt4o; it?

  A mass is attached to a spring of spring constant 60 N/m alo -iv18x4iv 9nhddr+ yfng a horizontal, frictionless surface. The spring is initially stretched by a force of 5.0+98-ivd1dfnih4 xvr y 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 constanzb6 *o;rwu 4npt 60 N/m along a horizontal, frictionno rz;4u*6wb pless 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 oscillation?

  A mass is attached to a spring sy 62gow cu/a9:h 3d j)rvf1noof spring constant 60 N/m along a horizontal, frictionless surface. The spring is initially stretched by a forcd36 a hy/jou19rco g nf2wvs:)e 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 goes through 10 complete oscillations;a:b3ve-n,uzwgr ew72b f o q0 in 5.0 s. Whavw3nq7,r :wbebo;gef0 z2-a ut is the period?

  A mass vibrates back and forth fjo -v-,sk3exr rom the free end of an ideal spring of spring constant 20 N/m with an amplitude of 0.30 mjk-o sx3,e v-r. 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 6,e nk(jzfkrxj6h p2920 N/m along a horizontal, frictionless surface. The object oscillates in simple harmoni2jz j, ( 6hkn9fexrp6kc 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 thc)2tel 7e y x,llx x(7i+tpx3dis time. The mass is cut in half, and the splx e3c(7yil xtdxelt)2,7 +xystem 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 spring of spring constant 20 N/m along av yfh-c 45kjb* horizontal, 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 c4*fyhj bkv-5 amplitude of vibration?

  A 0.50-kg mass is attached to a spring of spring cons )u-uyvv he7k/tant 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 are e-vy/k7u ) uhvthe kinetic energy and the potential energy the same?

  A 2.0-kg mass is attached to the end of a horizontal spring of springz8.tvuq2/q z a constant 50 N/m and set into simple harmonic motion with an amplitude ofq2 8v/ta uzq.z 0.10 m. What is the total mechanical energy of this system?

  A 2.0-kg mass is attached to the end of a hozr t r a/w2bd,q,wg6u6rizontal spring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 2r6tu 6qa rz ,wdbwg/,m. What is the total mechanical energy of this system?

  A mass vibrates back and fr)eg 0 3g9nxngorth from the free end of an ideal spring of spring constant 20.0 N/m with a gge0x9ngr3 n)n 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 equilih .e;p- b( fr/;bnxmvibrium position and released. A frequency of 4.0 Hz is observed. What freque;/ve -;(bx m.nb rpfhincy 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 obl)/x38i ohj mulls0 /zject is displaced 3/8i 0hlm)/uxzollsjby
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.c ;u1ye6awfdk .*o m rn.x8hw N/m. The object is dispu8.e a.f;n mwckdwh*6y orx.1laced 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, displacedq.xnkh2wuc9 bwg82/j slightly from its equilibrium position, 2bqg 8nxwh 29.c/wjkuand released. What is the frequency of its vibration?

  A mass is attached to a spring. klvfpc*xwd3u.i 57i+72g qwa- hion ;hg l98r It oscillates at a frequency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What is thq8i5g*.-caphw hgxid r2 nf vil3 w7u9;okl+7e maximum velocity attained by the mass?

  Two masses, A and B, are attached to different springs. Mass A vibrates w9: 9+8usyc ih 87wgn01w dkizfuo*qyi ith 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 douq0yi h:8fw+ 8dzo1y*uscw9 igikn97es the maximum speed of A compare to the maximum speed of B?

  A 0.30-kg mass is su lp;;u 0l5ldz: ux+p x(tg+gvtspended on a 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 released from rest. Calculate the period of ut ;l:+t;xlv +xg5d0 u z(gplposcillation.

  A 0.30-kg mass is suspended on a spring. In equilibrium the. 2a exizro0 lzegt6+0;qb :ej mass stretches the spring 2.0 cm downward. T0:0 aglt j ix6.;z z2eqoeeb+rhe 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. In equilibrium the mass 2cr9z5wgnlvci+ a4c h z+m *7ystretches the spring 2.0 cm downward. The mass is then pulled an additionc*wm l7i2 +4zynarzcg9vhc5+al distance of 1.0 cm down and released from rest. Write down its equation of motion.

  An object in simple harmonic motion obeys the followiv v5yy2tzrn4v b0/fe9 ng position versus time equ0 tbv 2/nyzf4 5evryv9ation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following c ybr0lrm2*,pposition versus time equat*b0r mlr cyp,2ion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following posit75cn s 3m uaufx:.nn zx(xv/i9ion versus time equa u(csx.iam vn7un :/x 5xzf3n9tion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end o6wrwd muuzy 5 ,6dtdc *ofv)qj2/)q;yv-rt s2f a spring executes simple harmonic motion according to the equ;wr2dwv)jq- ,6f5 ov 2suty6qmuzt/*ydr)c dation $y = 0.50 \; \sin (18\pi \times t)$ where y is in meters and t is seconds. What is the period of vibration?

A 1.5-kg mass attached to spring wivnkn17q3 rr59nvt u w4th a force constant of 20.0 N/m oscillates on a horizontal, frictionless trackkt1n7nrw5q9v 4 v3nru. 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 swio798qi mwxm:9l-yki ps: o0;wmn8 ajwngs in 8.0 s. (a) What are its frequency and period onm n ow8i9mowi;8 xlma-90j :pky7:w sq Earth?

  A 3.00-kg pendulum is 28.84 m long. What is its period on Earth3w59ilxracxm, kf:jbk 5l1e1?

  A pendulum has a per1fk 4po.8zm+wz /yck viod of 2.0 s on Earth. What is its length?

  The pendulum of a grandfather clock is 1.0 m long. What is its period 85h oe jzd/xvzg)7wg zwt 31k9on the Ear7z xd8 z/ g9tjwe5og3hzw 1)kvth?

  The pendulum of a grandfather clock is 1.0 m long. What is its period l p,prq)w61vd on the Moon where the acceleration duep16 plrdwv )q, to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical *mu 4k5c:sot tvjri345kgk s4 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 frequency of 2.0 Hz. What fr suk 4 vkgr* m5tc4o5ij34:stkequency would have resulted if a 0.50-kg mass (same diameter sphere) had been attached to the string instead?

A simple pendulum consistzqiank-k0w0m .y92a+(ty rg poj*re6 ing of a 20-g mass has initial angular displacement of 8.0e. It oscillates with a p+ a0pm*9 6.t 2yrqj(ekzrgyawo- 0knieriod 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 frequenc0dl:r vc- y-vr7/ u ps1l:aog 60nyqtay of the wave is 120 Hz. What is the amplitude? ra/qo s6r1vlna7 lup d 0-c0yt::-ygv

  Figure 11-2 is a "snapshot" of a wave at a giveun y,j evo:)x*r;j4t xn time. The frequency of the wave is 120 Hz. What is the wavelej;xy,j xt) *uv:nro 4ength?

  Figure 11-2 is a "snapshot" of a wave at a given time. The freque:p3y n6 x,gspsncy of the waves ,6sn3xypg: p is 120 Hz. What is the wave speed?

  What is the frequency of a wave-xsj/b:da 3pc1+p)am o5 omg j which has a period of 6.00 ms?

  What is the period of a wave with a frequency n2 nm )ajh6m q4nvdraw73m-wxp; l)l;of 1500 Hz?

  What is the wave speed if a wav cmvcv8+ 7*qeo0h)qice has a frequency of 12 Hz and a wavelength of 3.0ec* qqo0cv vic+ 7m8h) m?

  What is the velocity of a wave that has a wavelength of 3.0 m and a frp 8wo/sdz2 /)y3r,y ,eobtaluw g,z .uequency of 12b dwe/sp ).,t r g,zy,o2uoayu3z/ wl8 Hz?

  What is the frequency of a 2.5 m wave tracp;-jn(ep s o; i 2*of(4jhfxuveling at 1400 m/s?

  A piano string of linear mase7i5kw+-glx 2/ h)pt9gz fq1;0ba dtut6y iecs density 0.0050 kg/m is under a tension of 1350 N. What i1i/ldybtg5eg k0i +9fe)2zc7p qt;hwau6- xts the wave speed?

  A string of linear density 6.0 g/m is under a tension j6 -gpzv lowjn697kyh* 5xg8k of 180 N. What is the velocity of propagation of transverse waves along the -ggpj69z7yl5koh wk*jxv 8 6nstring?

A wave whose wavelength is 0.500* q7 0sho-d3ff w.xjn-iqypw - m is traveling down a 500 m long wire whose total mass i.n 7sx-dfi*0hw-w3f qo p-qyjs
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-ms:.of+ orb0 esiic3k5 long string fixed at both ends is 200 m/s. Which onfk :3 ei0+b.o5 crsoise 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 the folu )a,g2k)ly qclowing freque)cu ya,q lk2g)ncies can set the string into resonant vibration?

  A stretched string is observed to have four equal segments in a stag 3pm.gn* 7u-vhwnz4mpk f*l- nding wave driven at a frequency of 480 H3w.hfz*n*v-u4m-k 7 pp nmlgg z. 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 with a pno o2oqxk85 bh11yl/standing transverse wave pattern containing 3 5ohb 8oqyn2/ 1kl po1xloops. 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 tenh1aifsnv b25;sion of 20 N. What should its length be if its fundamental resonance freq ba2nf 5v;1ishuency is 220 Hz?

  Find the first three harmonics of a string of linear mass density 2.00 g/nsc. (nsbhj;/n h k(d+m and length 0.600 m when it is subjecte /s +h(kcjndb.nns(h ;d to tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. When theqb k(vwotot8- nqiat0yc / 5jrp+ 3/9b string vibrates at a frequency of 85 Hz, a standing wave wia98r q-wtiq5/(bnk/cvt0 + jtypboo 3 th 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.