The time for one cyclel3begdqzdc6u1 8la+ +w; xn rfb/ws81 of a periodic process is called the

  For a periodic process, the number of cycles per u(xam)2kn vtk fhtj2, ,nit time is called the

  For vibrational motion, the maximum displacement from the equilibrium point av;n67t/*dqyc ; yrgqis called thq ay c/tr7ynvg6q ;;*de

  A mass on a spring undergoes SHM. When the mass is at its maximudwj -82hxe8 i a*zqvw80ek dj/mpr*l9m displacement from equilibrium, its instantaneous v*hm0wpze q w*ra-dv/8xlkj 8di 82j 9eelocity

  A mass on a spring undei/ c p/ fjjk+b164nc:(i0bf ete)jxtro7 q7z krgoes SHM. When the mass passes through the equilibrium positib+b: rjz/)1tkpoec fc7(4kji tej xq/6 0fni7on, its instantaneous velocity

  A mass on a spring under5 kt0 jszuaog 9dhq30)k p03mngoes SHM. When the mass is at maximum displacement from equilibrium, its ihokzad) u93 pskt0mq0g05 nj3nstantaneous acceleration

  A mass is attached to a vertical spr hbzc55ql2x t8ing and bobs up and down between points A and B. Where is the m c5 qhl5zt8xb2ass located when its kinetic energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down between poi4xc o:l(,,-tqgryk w*mjl3 qi nts A and B. Where is the mass located when its kinetilq3cm : kt,x*qwloj,ry 4(g i-c energy is a maximum?

  A mass is attached to a vertical,m pn1 c;kiq8ue ,q(b5s;mmk o spring and bobs up and down between points A and B; m o(q5bkm 1k8;smq np,cei,u. Where is the mass located when its potential energy is a minimum?

  A mass is attached toj4 09pnzzuuhi2;ctge9 7 ool3 a vertical spring and bobs up and down between points A and B. Where 7uo39zut 0;ehl p9ozj4 cin2 gis the mass located when its potential energy is a maximum?

  Doubling only the amplituded+bn4j.t6dcf of a vibrating mass-and-spring system produces what effect on the sbdtn4.d c jf+6ystem's mechanical energy?

  Doubling only the mass of a vibrating mass-a u ;goefklh.vn15kb,c8.s pn4 jegs40 nd-spring system produces what effect on the systps 0se,h;8ck1f n bk5eug.jg v.4n lo4em's mechanical energy?

  Doubling only the spring constant of a u u j- 9x)wky6(vypup28s,yvz vibrating mass-and-spring system produces what effect on the systemwp8yvk u( )y2p96ux v-ju,zsy's mechanical energy?

  A mass oscillates on the end of a spring, both on Earth and on the Moon. Whereiidqnax9-v 8d5( w3ki is the period the greatdi3ivqinx9kd-a8 (w 5est?

  Increasing the spring constant k of a mass-and-springt a (-qvfksg9;ga )h+iw o35oj system causes what kind of change in the resonant frequency o5k tvgih+josfg-a3q9 )a( ;wof the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-a04( kojp/x8ox 3ka7 r7 ieoq .ssnmkw/nd-spring system causes what kind of change in the resonant frequency of the system? (Assume no change in thkooso3pqmks4 .k0r 8e /anwjx ix(77/ e system's spring constant k.)

  Increasing the amplitude of a mass-and-s ,4.xsdqnt 0espring system causes what kind of change in the resonant frequency of the system? (Assume no other changes ineqssnxtd,40 . 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 string of lengthxben 6ej (3u(o L. For this system, whe63(nuo(ej xeb n undergoing small oscillations

  When the mass of a simple pendulum is tripled:lh3py.a ; j simb1n5j, the time required for one complete vh. ;:alypmj3bsjin 51ibration

  Both pendulum A and B are 3.0 m long. The period of A is T. Pendulum A ui.g0,4miysxx l7 y1+kd nkg1 is twice as heavy as pendulum B. What is the period oy4dm,s n7xikiykl 1x.u+gg01 f B?

  When the length of a simple pendulum is tripled, the tim9(m .ypyhu 7pze for one complete vibration increases by a factor o(hmppzu yy79. f

  What happens to a simple pendulum's frequ-nt(9k vu)nq bency if both its length and mass are increnq )kn (-vub9tased?

  Simple pendulum A swings back and forth at twice the frequency of simple penduluiyl/rx9 hx9 w(7f x9dfm B. Which stat xh r/l9fdi x97(yfwx9ement is correct?

  If you take a given pendulum to the Moon, where the acceleration of gravityrtb,p9y3hyj( u 0yy1k-utf) b is less than on Earth, the resonant f1ju kb ,0-yrp)tt f(y3b9u yyhrequency of the pendulum will

  Curve A in Fig. 11-1 represents 9rioa*4agamh5lcjf. e.(0 om

  Curve B in Fig. 11-1locs a4b2k,+m- :ifzt represents

  Curve C in Fig. 11-1 k5m9mk t ,s-p2k7/7iw bvp ybhrepresents

  For a forced vibration, the amplitude of vibration is found to depend on thgoa+gp.t .b mj., jb7:rttm4te

  In a wave, the maximum displacement of points of t se pd)s2b mszcb4d):1he wave from equilibrium is called the w1sd2m ) :cebp s)b4zdsave's

  The distance between successive crestuk)n 2ufz -tm,s on a wave is called the wave's

  The number of crests of a wave passing n5t *: *jkshytvpe+z ku,*fv8a point per unit time is called the wave'p5 *sy+h8ntj k,*u *zetvvf:ks

  For a wave, the frequency times the wavelength is the wav6yar u6/uo st:*4ha45pua eyn e's

  The frequency of a wave increases. What happens to the distance between sucu 9.brhzrn ;m c/3hv+. +vvlggcessive crelbrn u+v; r/.9v+zghg.c3mv h sts if the speed remains constant?

  A wave moves on a string wikq5tw1aycslzp jud2k yap1 l7e(jx) 51g+1 l7th wavelength l and frequency f. A second wave on the same string has lypxc5q g7d7ae ytpaz5jll1 12) ( sku1k+1jwwavelength 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 M, and tension T. fkv6lc 36ja n0d-pm)no/xyx6v -cd(vA standing wave is set up. Which of the follo/mkn6-v3f vov-0cny jdxl 6 )6pc(axdwing is true?

  A string of mass m and length L is under tension T. The speenbc 0esp3di7iq 1(a; dd of a wave in the string is v. What will be the spe;eab7s dc0n iid3q 1p(ed 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 speelix*x8g s:-(id0hn gkd of a wave in the string is v. What will be the speed xx g -0sh*ik d:ing8(lof 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. s.ldh.5 .z)knj*nms/ )5owrb peki 9oThe speed of a wave in the string is v. What will be the speed of a wave in the string if the tensioo) s5.*9 ndm.5oiwpz /nbk. j)hlrksen is increased to 2T?

  In seismology, the S wave is a transverse waoozh/k4zh ,3b 9sm,cfyy1, j bve. As an S wave travels through the Earth, the relative motion between the S wave a9,ofm1 jy/,4hb zsbh,k3zco ynd the particles is

  In seismology, the P wave is a longitudinal wave. As a Pf -(+w/kgrgc k wave travels through the Earth, the relative motion between t/kg -(+wgkcf rhe P wave and the particles is

  The intensity of a wave b7lyuz(h/8azf 5a t hbq4p 7f ,3j+chzis

  A wave pulse traveling to the righnit7ezlpk)r) w ye;;+d - qlyr 5uq7o)t along a thin cord reaches a discontinuity where the rope becomes thicker and heavier. What is the orientation of the reflected and transw7rq ; er)p+5on;lelz)-id)t7y k yuq mitted pulses?

  Two wave pulses with equal positive amplitudes pass each other /8k,u 46uqge,ygqrxron a string, one is traveling toward the righ4xru u,q,/ ggy6kr8 eqt and the other toward the left. At the point that they occupy the same region of space at the same time

  Two wave pulses pass each plv io/yo5ry/02s /l hother on 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 that they occupy the same region of space at the l2 /oiol/yh rvy0 ps5/same time

  Resonance in a system, such as a string fixed at both eni j al1imdoc.; ib/;m3ds, occurs when

  If one doubles the tension in a vi80+d:qd*ik- wh q lgttolin string, the fundamental frequency of that string will increase by a kiqlt+ * dgq-td8 :wh0factor of

  What is the spring constant of a spring that stretches 2. 6+beo+0+gsnsv1dg :s*b,tir gsz5 od 00 cm when a mass of 0.600 kg is suspend0zbr +ess:obv+tnid,1gs 65ggds*+ o ed from it?

  A mass is attached to a spring of spring constant 60 N/m along/gcqp5293 qgkm g5 gopp);v-h )3h/to lrgo uh 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 ;qp//qopo9 k)h 5u2rgp vgghmg5t- )gl3 h3o cits equilibrium position when it is oscillating. What is the amplitude?

  A mass is attached to a spring of spring constc1 f5cj+m cw7dmxc6vw 4xw2+a ant 60 N/m along a horizontal, frictionless surface.dv xcw awcf1c75j+ xmcmw+264 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 springdl+ycf,m, dp 1 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 bac ,cyflm1+, ddpk to its equilibrium position when it is oscillating. What is the frequency of oscillation?

  A mass on a spring undergoes SHM. It goes through 14 ,lr17ubaj/2nbv dapid 9 2ec0 complete oscillations in 5.0 s. Whatajv7nb pb/c1iu2e ddl, 42 a9r is the period?

  A mass vibrates back and forth from the free end of an ideal spring of sprinmlfj.123qgh h qw *(dmg constant 20 N/m with an amplitude of 0.30 m. What is the kinetic energy of this vibrat (qlfd3j .mwhh21gmq* ing 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 ht0t 0nincus(7+hp 1 blnaik+2i39 q ynorizontal, frictionless surface. The object oscillates in simple harmoq tnb1i y9suaii l0 n72 n(30nhctp++knic 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 amplituden xg +30tiid zfhm-7e9 of 4 cm. The energy is 8.0 J at this time. The mass is cut in half, and the system is again se-9 7dmeg3h t0zix fi+nt in motion with amplitude 4.0 cm. What is the energy of the system now?

  A 0.50-kg mass is attached to a springpzbl1hlk lb : (y yljq469)nj) 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. (:ylkzp4 h)l bql6 jnj9l1)yb What is the amplitude of vibration?

  A 0.50-kg mass is attached t+ toz-(i anq(xo a spring of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a spe+it a(qx-zn(o ed 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 d7uqgjroa 4n 7;6 f7zj50 N/m and set into simple harmonic motion with an amplituj 6njr7 uzg4 o7fqd7a;de 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 /ori;k/6n sylspring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the total mechanical energy of tl yr/;os 6n/ikhis system?

  A mass vibrates back and forth yn4v3)hddq 6 ;s hbth5from the free end of an ideal spring of spring constant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kineti;h3 y5 hq6)shtddvbn4c energy of this vibrating mass?

  The mass of a mass-and-spring system is displaced 10 cm from its equilibrium pez;v w:i :lv t30 kw/b-4ynjdposition and released. A frequency of 4.0 Hzl: kw vw/vtn0y3:jeip;d4b- z 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 spring constant 10 N/m. Theec9*pl)wq xr ep 0;o-b object is displaced x)w c90r*;poel -qep bby
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 objectwi4bv7yl9igi0o +xt i7y pqq*.n20er is displace 7.0 ypi+ 7vqxnb02ogi9qwtiyre4 *lid 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/7 :,pylix fg;wno(*pcod7 4 n0okis(tm, displaced slightly from its equilibrium position, 7ilg y0(x; c*dti 4os( 7 npofon,pk:wand released. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequency of 1xk 25 kpv/ptru(/sop-ev/t,*tlvcn :.27 Hz when displaced a distance of 2.0 cm from equilibtpr-2t5vkln/(uo kpx ,*sc//t vev : prium and released. What is the maximum velocity attained by the mass?

  Two masses, A and B, arengjorw 929o90woh k7ildr6+e 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 wirkho 97wdrl o9ngoe20+ 9j6 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 equilibrium the maskh;vb 5 9y. z+c3ezdris stretches the spring 2.0 cm downward. The mass is then pulled an additionah y vzz3drc+b.; k9ie5l 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 )vzc/mxn 55scc6 u4n -jh 1weostretches the spring 2.0 cm downward. The mass is then pulled an additn ze5cmsnv5-xc) 6hu 14cj/woional 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 massckvr6 r-m1mi)*whp w, q xp,q. stretches the spring 2.0 cm downward. The mas r,mp m1x*qi,)c-qwp hrv6w.ks 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 motion obeys the following position versus time e;.qb sm;b tt0iquatts qt.;bbm;0iion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following position ve/w8:wkq1oj6dza;lew e+jz 3 crsus time equaw:dj/w8jolkwcqz3e1;+z ae6 tion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following 8+ikvvbqyt) kzcl,m2r0. )nl position versus time equ l0.bl ,m+krt2cnizv8kv)q y)ation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple harmonic motionf5,qki1 hjzxvk(.c+u fx/nu 9 according to thek uf/ u+,xx1q hfi .zvn(c95jk 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 oj8ap-s/dzkh ge;,s(9b (5ufl i/ hyhrf 20.0 N/m oscillates on a horizontal, frictionless track. At t= 0, the mass is released from r8(b-u5g palyehikzh /r( f j9ss/d;,hest 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) What are its fsg o/twiw (vgsl 86 lmn3tkdy/zmd: +4ou/;u)requency and period on;z)uoul/ + tdtvg lns/s i4m ow: wd6gy(38/km Earth?

  A 3.00-kg pendulum is 28.84 m long. What ieq3c4xn*,f r(qo mqs 9s its period on Earth?

  A pendulum has a period of 2.0 s zmj 1qx18 5nda7jyu:von Earth. What is its length?

  The pendulum of a grandfather clock-v 5jgyb mhz4y* 3zgb)bn4zr- is 1.0 m long. What is its period on the Earthbbm3b4 - vzz4yg-gjrynzh*5 )?

  The pendulum of a grandfather clock il/ m)1k+gzf r rjubg51s 1.0 m long. What is its period on the Moon where the acceleration due to gravit1rjz g l+5mf bukr1g)/y is only $1.7 \; m/s^2$?

  A simple pendulum consists of az smx;e*n /a0vg)2ozd2o9 djl 0.25-kg spherical 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 frequene9;l)da x/ mg 2n2zdo*zvj0 socy 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 9i re-ih +wk n.bhjg3hh9ec55has initial angular displacement of 8.0e. It oscih5.h- +9wri5j h9ne cb kgei3hllates 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 alz3+/cx :r.bb)ijf v yq, z.xi wave at a given time. The frequency of the wave is 120 Hz. What is th/xz+i:lb)qr jxy3z. c,vib.fe amplitude?

  Figure 11-2 is a "snapshot" of a wave at a givepg5e0b4tk( yk n time. The frequency of the wave is 120 Hz. What is the wa(y4kg e0tkb5pvelength?

  Figure 11-2 is a "snapshot" of a wave at a given tim : lyv g68qoofgl72fub4u(l4( sl5m fze. The frequency of the wave 5fgqfs fv4o u(lg467:(8o bullzly m 2is 120 Hz. What is the wave speed?

  What is the frequency of a wavook4k7hnl3m lq cw9-bxw(.1.kk j:nk e which has a period of 6.00 ms?

  What is the period of a wav0rp.f 1 lgyb4q;bn9g* 2boyoi3 pk w)re with a frequency of 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz and gy-+ e,p (iwgpa wavelength of 3.p+g ,yegi-( pw0 m?

  What is the velocity of a wave that has a wavelengthi1ls-9t ao)u)ao e8wy of 3.0 m and a frequency of 1al1 woeo)8a) syui9-t 2 Hz?

  What is the frequency of a 2.5 m wave traveling ap2 7ztjquf:9 nt 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is under a tension of 1350 N. m*pu,)i wjbkdjeedbu/q. ,1g4+s8gt7v)g gg What is the wave speed?jg iw,ptsg).dg du qeeg1u4bk7 *bj 8,/g)vm+

  A string of linear density 6.0 g/m is unj1ljb hi i5-f5der a tension of 180 N. What is the velocity of propagation of transverse waves hibjfj5-l5i 1along the string?

A wave whose wavelength is 0.500 m is traveling down a 500 m long wire whose tc,ig8bqa*esxzpb 7h*5hul v3 m 3 z-;zota7ql;uzm ze, ib3 h5 83h*csxagpbv*-zl 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 transverse wave on a 2.0-m long string fixe knc6p*q,y gt2f1 pp9ad at both ends is 200 m/s. Which one of the following2,1p6 tqnp*pyak c9fg is not a resonant frequency of this string?

  If a guitar string has a fundamental freque k6op ,t.m 5 f;-2iji.xecprqqncy of 500 Hz, which one of the following fet.r o;i m -i.,p6jq2pq xkfc5requencies can set the string into resonant vibration?

  A stretched string is observed to have four equal segments in a standitfx55+-wk rnc ng wave driven at a frequency of 480 Hz. What drivi5 wn-5ctfxr+ kng frequency will set up a standing wave with five equal segments?

  A string, fixed at both end8r b.pux)*6t+xe 3lefb-azjss, vibrates at a frequency of 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency is needed if the standing)- las3bzb 86uxe+f*x .jret p wave pattern is to contain 4 loops?

  A string of linear density 1.5 g/m is under a tensbrm63+9hi3h8 g i/q83j.) o lgtu1tdprtjfpiion of 20 N. What should its length be if its fundamental resonance h9t6bj+ fi1lhi8i3tmg qjdpt3u83 rp)/ g.rofrequency is 220 Hz?

  Find the first three harmonics of a string of linear mass density 2.00 g/m and;b 9r(o6f zu l*fu7ese length 0zse;6 fbu*lf (e9ru o7.600 m when it is subjected to tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. pjrm- jagq 2xvg5v+7*When the string vibrates at a frequency of 85 Hz, a standing wave wi +gxva5m-*vq7rj2gj p 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.