The time for one cycle 5 vr7*5oqyfn:gff --rmr r6 ipof a periodic process is called the

  For a periodic process, the nu6tow4x fjw+7d mber of cycles per unit time is called the

  For vibrational motion, the maximum displacfp0y dg c(7,wam;ni kj;j:vd:7 m1jhu ement from the equilibrium point is called tj7mp7wfd jkda,y: ;i:mcg0( ju hn;v1he

  A mass on a spring undergoes SHM. When the mass is an z sc:4 b((nkx5xt,j4yixq s3t its maximum displacement from equilibrium, its inst((it: k nn qzs,x4s3xjy4 c5xbantaneous velocity

  A mass on a spring undergoes SHM. When the mass passes through the eldoqd) re p+f4j)q.5cquilibrium position, its instan.5jc+ef ) )dloqrdqp4 taneous velocity

  A mass on a spring undergoes SHM. When the masn ue5yo:n370 x9pv )pyrro.y ns is at maximum displacement from equilibriumu.0v3 9 :yeoy rpn5pnyr)nxo7, its instantaneous acceleration

  A mass is attached to a vertical spring and 1h.fnp4h-d 1.vvg; v4;bcsnts0 p iyr bobs up and down between points A and B. Where is the matv.n1- phsgh y.vvcr;i1; nsbp fd404ss located when its kinetic energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down between points 5eqkl6+ihtccb k u7+d j,v/k 4A and B. Where is the mass located wk, +jkdvbq5hu 64lc+k i/7 ecthen its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up and down between c *efs+c:xf9wsu :zb(c8h auqg6t; (jpoints A and B.cfscu:*eu+ (h6fz ;ba:qjx 9gw (cst8 Where is the mass located when its potential energy is a minimum?

  A mass is attached to a vertical spring an i+hvdtw:;5n 9s8uqib4y5hhjpit7x . d bobs up and down between points A and B. Where is the mass located dj+ u4nq: i8hby5vt7. ;9p wstixhhi5when its potential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-spring jo :g,kin *nw)e z9;tbsystem produces what effect on t,t*j eg:oi)kn;n9zb w he system's mechanical energy?

  Doubling only the mass of a vibrating mass-and-spring system produces what y/ m(g kjh s2w*5tkny2effect onjhty25s 2n/g(*wym kk the system's mechanical energy?

  Doubling only the spring(h 0v pebjag)0 *k2swr constant of a vibrating mass-and-spring system produces what effect on the systekvw j2)ab0pes *0hr(gm's mechanical energy?

  A mass oscillates on the end of a spring, both on Earth and on the Moon. Wher5(mzbt/ fgfx;9cxg-5 qqfa j(8d1 auce is the period thfc ( 8a 5/adb;gfzgqjt9fum( 1 5cxqx-e greatest?

  Increasing the spring 2l;bc;2va fbm:n rue3constant k of a mass-and-spring system causes what kind of change in the resonav2 l3 :c2;bmnrue fba;nt 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 sy. zro ki.2t/w xs9m4k.b i,5p.stcd of change in the resonant frequency of the system? (Assume no ch cktk.s/tdsryo,zp2 .i s. w4.bmi 95xange in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system causes w10/r1 kyxboch 2xl5jh hat kind of change in the resonant frequency of the system? (Assume no other changes in t bjhcrk1xxo/lh0 1 52yhe 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 zp(g as:kq;3.bc,th)2/ vkb 2dsne0sovny 3 xto a weightless string of length L. For this sng.,s)os;c vsq/kk:v0x h2ne 23 a3bt(y dpzb ystem, when undergoing small oscillations

  When the mass of a simple pendulum is tripled, the time required for onefus / zr fn3),+xls*oe complete v/ssof,e*lz 3n r)xfu+ibration

  Both pendulum A and B are 3.0 m lon.ia mmo f, (l)fkhz3*dg. The period of A is T. Pendulum A is twice as heavy as pendulum B. What is the period of B3ihm fk,)zmf a*od(l. ?

  When the length of a simple pendulum is+b,s m(vapon/q;w 1so tripled, the time for one complete vibration increases by ,svop;mab +/qon(s w1a factor of

  What happens to a simple pendulum's frequency if both its le8p 1 gk903.hpm)zrw c m6 u hgowr6kj(cj07kjbngth and mass are incck uph.okw0b6 m g6 j(j83j)km0zrp971rwcg hreased?

  Simple pendulum A swings back and forth at twice16s p7ou zwz yc+(r-pf the frequency of simple pendulum B. Which z 7 (+ 6yfpcrp1sowuz-statement is correct?

  If you take a given pendulum to kccj- :sl;c a 3rj-qjnf-qr p *b14+ogthe Moon, where the acceleration of gravity is less than on Earthrpj g- ;3fjk4 -occb:1-jqnr+c *q sal, the resonant frequency of the pendulum will

  Curve A in Fig. 11-1 representsr lzi 7r:8 9n0q4g 4bu6iiyhmj

  Curve B in Fig. 11-1 *slr- f yqy2drit:q.6represents

  Curve C in Fig. 11-1 represenj;2nu768is2 l axatdits

  For a forced vibration, the amplitude of vibration is found to depend on dn)h fryd /++othe

  In a wave, the maximum displacement of points o0wu3p. nx 4jzgf the wave from equilibrium is called the wave'guw n04.xzjp 3s

  The distance between succes4gze,)bcru ;o 28mn2z uxm +)jxtno2psive crests on a wave is called the wave's

  The number of crests of a wave passing a point pazg -lyg7 z.a7er unit time is called the wave'sz-7.layg g7za

  For a wave, the frequency times the wavelength is r-n11kqo kdrz(3igy. r8a6ma the wave's

  The frequency of a wave increases. What happens to the distance between succe-9m7(,9ctfmifw vj sdv(x1dq ssive crest91c,msx w(( v7-fiv9qdmjtdf s if the speed remains constant?

  A wave moves on a string with wbt 0woy-76,40a (kk sqsgea luavelength l and frequency f. A second wave on the same string has wavelength 2l and travels with the same velocity. What is the frequency of ayl o6s4,0k (7gt-s0qwukbea the second wave?

  Consider a traveling wave on a string of length L, mass M, and,*92 z p6enxewzr z-6 so)wbgh tension T. A stan,wezew n p 6r*9z 6gz-ox2sh)bding 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 wave in thet3fe;uv 8g;: dki 0uuq string is v. What will be the speed of a wave in the string if the mass of the string is increased to 2m, with no change in e3:qgk uvtf; 80; duuilength?

  A string of mass m and length L is under 0dbb)v oj)r9v 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 length is increased to 2L, with)brvdb) jo9v 0 no change in mass?

  A string of mass m and length L 05,i 4yln h3htlsko7f/qgl;i is under tension T. The speed of a wave in the 7y l;,gfhqil 3 isho5t40lnk/string is v. What will be the speed of a wave in the string if the tension is increased to 2T?

  In seismology, the S wav;o77 we:3j4h5xgjke afjq8dph b jqs 5*59zjoe is a transverse wave. As an S wave travels through the Earth, the relative motion between th5jjg5zkjo 4:j;d 3oea x8 qh779 bsef 5*hjqpwe S wave and the particles is

  In seismology, the P wave is a longitudinal wave. As a P wave travels throughpm x tl9d /h./y)ovl:;xa sp3n the Earth, the relativxhd:y. 9a)o 3lptmp/ nlxv/;se motion between the P wave and the particles is

  The intensity of a wave li*yoip,) q +h: lv+xi3uuw1fis

  A wave pulse traveling to the ri+4;h9ll fydmap-g9r r +/ yasvght along a thin cord reaches a discontinuity where the rope becomes thicker and heavier. What is the orids fg+4+9/pr;aylyhm9l r va-entation of the reflected and transmitted pulses?

  Two wave pulses with equal positive ampu9yea *uwo+ )xdxe;c +litudes pass each other on a string, one is traveling toward the right and the other toward the leftxy w*u 9de)+aoe;ucx+. At the point that they occupy the same region of space at the same time

  Two wave pulses pass each other on is 4; ccdc7hr.a string. The one traveling 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 thaid.7 h4;csrcct they occupy the same region of space at the same time

  Resonance in a system, such ass:l xjohh5i +-pgy3 /h a string fixed at both ends, occurs when

  If one doubles the tension ia0;t 5 ypem4khn a violin string, the fundamental frequency of that string yp 5mae;k04th will increase by a factor of

  What is the spring constant of a spring t cj6zajx1 (v;shat stretches 2.00 cm when a mass of 0.600 kg is suspended ;1 avz6jxjs c(from it?

  A mass is attached to a spring of spring constant 60gd zzn2 v1 +qki1r3oo/fw)jh5 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 tvgnr /qz o+)k hijo21wf1 d53zo its equilibrium position when it is oscillating. What is the amplitude?

  A mass is attached to a spring of spring constant 60 N/m along jc1x-5n o(73rngqw nipu i3 ifa.e(m8 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 tmur e.-xij( 3(copg5 71wq8aini3fn no 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 N2quu)i n7jpx)n:uy , a/m along a horizontal, frictionless surface. The spring is initially stretched by a force of 5.0 N on the mass anapqun u)xn ju:2y), i7d 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 (fsdxxl 4m+k 2SHM. It goes through 10 complete oscillations in 5.0 s. What is the perix2lfms4 d(kx+od?

  A mass vibrates back and forth frpc hxpo b8 j gjl9/orw;;v-50bom the free end of an ideal spring of spring constant 20 N/m with an amplitude of 0hv;wp bjc-/5jo ;pbl9og0r 8x.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 p4 ug5tf aarcybq4e91 +wg.u( N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion andwg ( ar45ua fup9.4cbye1tg+ q 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 am9kjew*x jf;5 yplitude of 4 cm. The energy is 8.0 J at this time. The mass is cut in half, and the system is again set in motion with amplitu*yf kjw5;xje9de 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 a horizone/dv505y yw trtal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s at the equid/5ywevt5 r0ylibrium position. What is the amplitude of vibration?

  A 0.50-kg mass is attached to a spring of spring constant5u82)sqdxo y xzmhh1/3 gv+km 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. v8my +gs 215 h u3z/odq)mxhkxAt 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 cow4; ghb 4z.gdfnstant 50 N/m and set into simple harmonic motion with a.;44bg gzd hwfn amplitude of 0.10 m. What is the total mechanical energy of this system?

  A 2.0-kg mass is attached t/q3, 5al;ak +ooqm(al. l cmaho the end of a horizontal spring of spring constant 50 N/m anam+qal.oha/l om q(lka,;c 35d set into 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 of an n+j.b(swm7t4i :9:*nkz+ fjoruvrtaideal spring of spring constant 20.0 N/m with rs (twt:jr j9mn4*uzn.a+k7bfo: +v i 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 caukx -d8 zqyi ;wfj(( m* -+j6u3kxayqm from its equilibrium position and released. A frequency of 4.0 Hz is observed. What frequency would be observed if the mass had been displ+(jmak ujq3x * i8xkudw6 ;y-(-ayzf qaced only 5.0 cm and then released?

  A 4.0-kg object is attached to a spring o0x)g8 xg( 5appghtxw 8vh r47gf spring constant 10 N/m. The object is displaced by g)g7xhp5tx8r(8paxgw0 4vhg
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 olf sxi(5z4zb 1f spring constant 10 N/m. The object is displaced bsl ifz4zb(1 x5y
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 constant1klwe7, d0rhi 18 N/m, displaced slightly from its equilibrium position, and released. What is the frequency of i7 erlk1w ,dh0its vibration?

  A mass is attached to a spring. It oscillates at a frequency of 1.2*,8)uw mo)arxa xind 67 Hz when displaced a ai a,no6*mwrx )) 8duxdistance of 2.0 cm from equilibrium and released. What is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to dikeab6 xx m.//kfferent 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 speed of A compare to the maximum speed x/b.mkkx e/6aof B?

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass s ethjc*z++bo2qhl a3 8tretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and released from rest. Calcjoq 2b8tz+hecl *3ah+ulate the period of oscillation.

  A 0.30-kg mass is susp-yo)t.; oybba ended on a spring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional dista byb.t)yo -a;once 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. lfkqb;w0h;sse* qu4* In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 k0h;;*u4e*qsb fqwsl cm down and released from rest. Write down its equation of motion.

  An object in simple harmo wx8zn5yx3g pbs8y: 6rnic motion obeys the following position versus time equay8wnzsbxy3x6 r :p85g tion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obejhwg vwx2)-k+ ys the following position versus time equationvh)+w-g2j kx w:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple sj:2(p n8-j yqowr .jgharmonic motion obeys the following position versus time equat yj:- so.g(2q pj8wjnrion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to thka8l hsn 67u*fe free end of a spring executes simple harmonic motion according to t8* fun a76shklhe 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 sp r/vb1a1ydf9 u(jufwb*sp90i ring with a force constant of 20.0 N/m oscillates on a horizontal, ffd/91v*i ( pbfabryj 9uw0s1urictionless 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. (a) Whkx5kw5d.nr9gx*7q 3k0i wcd61hwq le 6v 1yovat are its frequency and period on wk*5n k x03dgo 1wec9xi. 7w16vd6vqrl k5hqy Earth?

  A 3.00-kg pendulum is 28.84 m long. What is itsy)17r: *nolgxyz -/ vm6pggxw period on Earth?

  A pendulum has a period of 3tv2 w eb03(ako e j9omh3ehv92.0 s on Earth. What is its length?

  The pendulum of a grandfather clock is 1.0 m long. What is its period on the E eabnvpke0o45 m8*ul2thomkjm++l6 5arthlah+ 55v0t l m8 +mj6keko4 mpoebun2*?

  The pendulum of a grandfather clock is 1.0 m long. What is its period on yudf9,2zi;jal0sojt d +qs)se0u*9rthe Moon where the 9;y0fs+rjuiq 9a*0z 2tjed sul so),dacceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attached to a mass+lu5 edvrr 0m1less string. When the mass is displaced slightly from its equilibrium pod 5m+1 evlr0ursition 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 consisg utri++yox rdx63j98 ting of a 20-g mass has initial angular displacement of 8.0e. It oscillates with a period of 3.00 s. 8+xdyr gti3 u+9xjro6
(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 wavecdh.nw* m9idqs0ds9 ju*i38 i at a given time. The frequency of the wave is 120 Hz. What is i80idss9. mnih 9 *cwqjd* 3udthe amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency:,i2hrf73 fiob0bl6r*gbk qf of the wave is 120 Hz. What is the wb 2h:rlo6 ikb gf3 q*fi7br0f,avelength?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequeng 4ql4b)k1 vzvcy of the wave is 120 Hz. What is the wbvzq 4vkl14)gave speed?

  What is the frequency of a wave which has a period of 6.00bfymgk7m2h 5lbhho : .: vvu08 ms?

  What is the period of a wave9tbmqzs pry)oit.-1 8 with a frequency of 1500 Hz?

  What is the wave speed if a wave has a frequency of 1qq/i0j-zj3 a)f1irxf 2 Hz and a wavelength of 3.0 rqfzfq)x31j 0-a/ji i m?

  What is the velocity of a wan; clr 9j tj-vhr.0v9tve that has a wavelength of 3.0 m and a frequency of 12 tt ; n-v hr0vc9r.jl9jHz?

  What is the frequency of a 4js4u yu 6zxxuyk2:,h5x v:dz2.5 m wave traveling at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m h0 btt:1bjdq1 is under a tension of 1350 N. What is the1q :t0b dbhj1t wave speed?

  A string of linear densityiul4vqc*(0uulz 2i 3e6 kp+ +g-xzktc 6.0 g/m is under a tension of 180 N. What is the velocity of propagation of transverse w*t-zi4ulv x3 cikzkcpg+q(6 2elu u+ 0aves along the string?

A wave whose wavelength is 0.500 m is travel e.lydio fd:;nwr:ic ou7,e5/ dv *6iqing down a 500 m long wire whose total mass i ,.o: yci;e6dv:u iqn/dl7r5fiod*ews
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 lon0n7b4(ihitm jg string fixed at both ends is 200 m/s. (im 4j 0n7hitb 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 the fod noqc/seg/1 2llowing frequencies can set thed sg1ne/qo/c 2 string into resonant vibration?

  A stretched string is observed to have four equal segments in a standing wave dr igo9oj. +k.fwiven at a frequency of 480 Hz. What dro+9w.iog k j.fiving frequency will set up a standing wave with five equal segments?

  A string, fixed at both ends, vibrates at a frequency of 1,1(ovn1dx wr6jk frh,2 Hz with a standing transverse wave pattern containing 3 loops. What frequency is needed if the standing wave pattern is to contain 4 loopr,(jx 6r1n fwd 1okh,vs?

  A string of linear density 1.5 g/m is under a tension of 20 N. What sho; *b;z8n qhyjb4hcps6uld its length be if its fundamental resonance frequency is 220yjz;bh bc6psq 8n*;4h Hz?

  Find the first three harmonics of a string of linear mass density 2.0xx,qt8*b*t;rnt q q1s0 g/m and length 0.600 m when x qtqtnbq;8 ,t**1srxit is subjected to tension of 50.0 N.

A string of length 2.5 m is fixed a tl,*p3 9hkkf) ursj:qtqh;.6hsdw5 xt both ends. When the string vibrates at a frequency of 85 Hz, a sk5 qj prdtfh:l .t,sq 6k)hs3xwu *;h9tanding 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.