The time for one cycle of a periodic prdmb 2kv h,k:b 22rn83b4 tjttljd9y*qocess is called the

  For a periodic process, thlb+5tud pt.:oe number of cycles per unit time is called the

  For vibrational motion, the maximum displacement +scx8t1zmws7ov;mlq8f u t ufx(lm 5 : 86cs*ofrom the equilibrium point is called th muf 6+ x8ovx8(f q8cw;mzs7stmc:1*lut o5s le

  A mass on a spring undergoes SHM. When thep1f3iazps m ;o.oh--w mass is at its maximum displacement from equo- ;p13m.f ws-hiapzoilibrium, its instantaneous velocity

  A mass on a spring undergoes SHse2q) d//qcn jM. When the mass passes through the equilibrium position, its q/ nsce)/j qd2instantaneous velocity

  A mass on a spring undergoes SHM. When taku ; i6:*twdphe mass is at maximum displacement from equilibrium, its instantaneous acceleratio*;dpk:u 6a wtin

  A mass is attached to a vertical spring and bobs up and down betwda. c+gjuq:7 b s1hj8neen points A and B. Where is the mass located when its kinetic energy is7g8qj na :jb1c u+hsd. a minimum?

  A mass is attached to a verticjca0,ql* c 4 ph-nbx-sal spring and bobs up and down between points A and s -ch, jqn0p-l 4xbca*B. Where is the mass located when its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up and down between points gekq/;i9e/k3knp)*by0 lg ts A and B. Where is the mass located whkkesn )ygeqlik3g *0p /;/tb 9en its potential energy is a minimum?

  A mass is attached to a vertical spring csf7o96zm 8wuf n+8d mand bobs up and down between points A and B. Where is the mass located when its po8sumo+7 fwzc8f6nm9dtential energy is a maximum?

  Doubling only the amplitude of a vicyc 0b;l,.s5bs(b pye brating mass-and-spring system produces what effect on the system's,s0e pb 5cl(yy .bsc;b mechanical energy?

  Doubling only the mass of a vi,2-kflkqwso 7d9 ;tts brating mass-and-spring system produces what effect on the;os wld2fk 9ktq7,-st system's mechanical energy?

  Doubling only the spring cdoac/ld*o* yd. 5l rf)onstant of a vibrating mass-and-spring system produces what effe*d odoc*/da5y l)rl.f ct on the system's mechanical energy?

  A mass oscillates on the epj(8:. r. y6j obc rdgunw p5bstmn/;-nd of a spring, both on Earth and on the Moon. Where is the period the greatestu-ds: /8p; nwjb5p(r..ng c rtm jboy6?

  Increasing the spring constant k of a mass-and-spr, r;5uh3srbmr-diro o)7d o qt9 .,gqying system causes what kind of change in the resonant frequency of the system? (As)myrhqudr3s9 5oir, qro,;o b t-g7.d sume no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system causes whatkyhl0u-w2s n* kind of change in the resonant frequency of the system? (As l wy-0khs*nu2sume no change in the system's spring constant k.)

  Increasing the amplitude of djt s.4*3 eoxy6rba7ea mass-and-spring system causes what kind of change in the resonant frequency of the system? (Assume no other chanr 3xd4ej6yet.*b 7asoges 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 i4b wu*m g2ndu0ln:l. to a weightless string of length L. For this systew*ilg.m0u4 :nnl 2d bum, when undergoing small oscillations

  When the mass of a simple pendulum is tripled, the time r2gy-wa jzy8,g equired for one completgw 8g,-z 2ajyye vibration

  Both pendulum A and B are 3.0 m long. The:c 4)t8 hlrrmu period of A is T. Pendulum A is twice as heavy as pendumhulr:c r84) tlum B. What is the period of B?

  When the length of a simple9iz2qe09 e/ l0ytcs2t f1jona pendulum is tripled, the time for one complete vibration q ae /9yo f9n1t20z0ie2sjlctincreases by a factor of

  What happens to a simple pendulum's frequency if both its le) yve fxe d4x83i+b4rgv8 xcg*ngth and mass are increadcexbryig*v)e8 g +fx4x84 3 vsed?

  Simple pendulum A swings back a cz*c(cl( fl+xnpn( 2+oa rr7ieo1 hgwer4+n*nd forth at twice the frequency of simple pendulum B. Which statement is correceh on( ++ gc2flel4*rroxpa ((17w *+cicnrz nt?

  If you take a given pendulum to the Moonekl , +ag j g.ci(,7ot-jwg5su, where the acceleration of gravity is less than on Eargi+.l-(ajj5us etcw7 ,k ggo,th, the resonant frequency of the pendulum will

  Curve A in Fig. 11-1 represo.j49eeqw9*w- s c utnents

  Curve B in Fig. 11-1 t2uqcp 4a6ngr 69qpy cf0; ic.h64ba 2htsc9nrepresents

  Curve C in Fig. 11-1 red5sv-wt82zbf1q 6gy q:yyts6presents

  For a forced vibration,.p6 cgm/vzm9 ex+mq )-l wuder un40b* the amplitude of vibration is found to depend on the

  In a wave, the maximum displacement of points of the wave from equilibriuobut:q jl a+;e6v 5r/q :)cx9r s1zazim is called the waves9rj:x zc);laq:e+qvob z rt1/i56au's

  The distance between successive crests ng2l,s ;rcx.bon a wave is called the wave's

  The number of crests of a wave passing a pointsvvu .2h:p8b b per unit time is called the wave'ubb28h vsv.p :s

  For a wave, the frequency times the waves7to py7w0/mgdrup 32 690sncne of2c length is the wave's

  The frequency of a wave increases. What happens to the distance pke8;y g7 nvi5 0,vx0xmnsk) gbetween successyn;g)n0p kvg8 i,vex7k x0sm5 ive crests if the speed remains constant?

  A wave moves on a string with wavelength l and frequ+bn7e.qq s .ukttb8j5ency f. A second wave on the same string has wavelength 2l and +s.btt enb5q.j8q 7kutravels 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 60 av-s-vsh4oxr9 lgktension T. A standing wlso-vx 0v4a-6r s9gkh ave 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 thu 44etk- sk anncvl1,1e string is v. What will be the speed of a wave in the 4 4eutakl- vckn1,1snstring if the mass of the string is increased to 2m, with no change in length?

  A string of mass m and length c: xpi6ot 5xz n2rc2e.L is under tension T. The speed of a wave in the string is v. What will be the speed of a wr noe.2z5p6x tc:i2xcave 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 speep(7:o5jfin gzeuf+ m/ d of a wave in the string is v. What will be the speed of a wave in the string if the tensiogj+p7/o fm n5fz ei:(un is increased to 2T?

  In seismology, the S wave is a transverse wave. As 41arpba3x wc. n1ra; fhk,)qs an S wave travels through the Earth, the relative motion between the S waveap1rx4nh; ,f3q1.brkswac) a and the particles is

  In seismology, the P wave is a longitudina9 ap-rhymm54: nafd7w l wave. As a P wave travels through the Earth, the relative motion between the P y4apa h nr-dm m975f:wwave and the particles is

  The intensity of a wad9e v/uy; 1wakia4pb7cp708fqxz-d bve is

  A wave pulse traveling to the right along a thin cord reaches ytj2b - d +ug4h. :qt*cevo;nca discontinuity where the rope becomes thicker and heavier. qu tge2v;*o t+bj4 n :cy-hdc.What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal72d0mnu uv(ww2u( 1 xnm76tqb;rucqt positive amplitudes pass each other on a string, one is traveling toward the right and t 2ruw1vdctu7; w nu2qx0tm6(b7q nm u(he other toward the left. At the point that they occupy the same region of space at the same time

  Two wave pulses pass 2q quk ;m.d-i/l-fzpq each other 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-fup;qd m2 lqik-./zq the same time

  Resonance in a system, suezi6ey6s w h.i 1p6.mypna,k7ch as a string fixed at both ends, occurs when

  If one doubles the tension in a violin string, the uwjaw61lp6e*x2g,mfh v,7 n ffundamental frequency of that string will increa nhmfp*6f,,x2 w1e jlu 6g7wvase by a factor of

  What is the spring constant of a spring that stretches 2.00 cm when6 htc2z/xai j9b2hhtmjf*6.c a mass of 0.600 kg is 2*.b ht6chai 6hjx9zmc tf2/jsuspended from it?

  A mass is attached to a spring of spring constant 60 N/m 92gl*9 n8rn-f;j e-t l(lp;ffaodlmyalong a horizontal, frictionless surface. The spring is initially stretched by a force of 5.0 N on the mass and let*pyl98(m-; rlon fefj n92-fl;dg al t 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 constant 60 N/m along +-; dvw pxw,uja horizontal, frictionless surface. The spring is initially stretched by a force of 5.0 N on u-v+wx dw ,;pjthe 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 of spring constant 60 N/m along a horizold38mg5);.zk he/gesy s/rs untal, frictionless surface. The spring is initially stretched by a force of 5.0 N on the mass ae)k3s yu/rhs .zmg/ g5l;8 desnd 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. Itq9we m 0+;toy-1vocav goes through 10 complete oscillations in 5.0 s. What is the m0qeov;1ov-y aw+tc9period?

  A mass vibrates back and forth from the free end owy i 2apvivg,/p0a *v6f an ideal spring of spring constant 20 N/m with an amplitude of 0.3g yp/aav6vvwi 02*i ,p0 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 consta vgw/3k( w4n .5nki* rbqkl nhl5lqwn+bn96 8rnt 20 N/m along a horizontal, frictionless surface. The object osci8hb(rk5*n9 nkb./lnw46lwivr+qn nl q 53 wkgllates 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 hntn0)5r(ql /lzsm :jzagda5, f(w v :is 8.0 J at this time. The mass is cut in half, and the system is again set in motion w zl 0dh:a5s:5mta)jf v(nn,(rglqw/zith 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 a horj0 6ocob nks95izontal, 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 amplitudeo bks j5096noc of vibration?

  A 0.50-kg mass is attacheet ,jv9n)tsjgl* 3;uj d to 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 s ;t,l9)jtegjn3 *vu jare the kinetic energy and the potential energy the same?

  A 2.0-kg mass is attached to the end of a horizontal r2:mxsk1nnu m)1m7c; ydgtt+ spring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.:kcdrmx) 7 n;1n g2tmmsyut1+10 m. What is the total mechanical energy of this system?

  A 2.0-kg mass is attached to the end of a ho .hjmx:7xh-mi9 xyl,mrizontal spring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. l9ihh: xmy7,mj. xmx -What is the total mechanical energy of this system?

  A mass vibrates back and forth from the free end of an ideal springr2 -bg/k* tjcugl60wq of spring constant 20.0 N/m with an amplitude of 0.250 m. / uqtw rkb6lgg0cj- 2*What is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring system is displaced 10 cm fr19sotid;swh w1clr( (om its equilibrium position and released. A frequency of 4.0 Hz is observed. What frequenc1hw(si1lsc(dtr 9o ;wy 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 o q9i9vx)spc1t qhr /,n3:,.ygg( lwu vzallt5bject is 5gac w .t tvlq rpylg9lq,3s:i)/u,h 1xz9v n(displaced by
5.1 cm from the equilibrium position and let go. What is the period of vibration?

  A 4.0-kg object is awgbo5hr s. w:,ttached to a spring of spring constant 10 N/m. The object is dirbwso gw.5:h, 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 spring,zong7 )a/v2oey/r rf constant 18 N/m, displaced slightly from its equilibrium position, and release/nv ro)y 7,oez/ra2gf d. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequency of 1 owka7rjh 6bk y19hj-1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What is the maxabyjhk-r19 who 7 k1j6imum velocity attained by the mass?

  Two masses, A and B, are attached to different springsbcvd1mg,/1 ) xqyk8 wn5sl y2r. 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 mwysyxb5d l2/k rq vm 8nc,1)g1aximum speed of B?

  A 0.30-kg mass is suspended on a spring. In eq ,t so(t1n4* i-b ojt+z:xyadk pn*9jt 3(ozpwuilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distan n w*4kjptytazix3+o,s1b(j ptt9(oo*n -zd :ce of 1.0 cm down and released from rest. Calculate the period of oscillation.

  A 0.30-kg mass is suspended on a sprin45dnl+i o8wnm6quwk -g. 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. Calwnw4- 8q5lknu6odim + culate the total energy of the system.

  A 0.30-kg mass is suspended on a spring. In equilibrium thr(3oob ;xh 5mhe mass stretches the spring 2.0 cm downwar oxhb;5hr(3omd. The mass 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 follznu n8*5 c)7v,tbfx lnowing position versus time equa butn5f nl,)xn*8 7vcztion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonmg d/it:m)ic 9ic motion obeys the following position versus time equam i:9g di/c)mttion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following position versun-im y*9ab 9bc :hv l17 +ewundlb(dg,s time equ he9ylvabnmlw* :9bg ndbd 71cu+,-(iation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring su:.sti 7gs1* ldc:t bexecutes simple harmonic motion according to the e si.t*csutbg 1dl7: s:quation $y = 0.50 \; \sin (18\pi \times t)$ 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 of 20.0wul(*ito7; vle(-ck e N/m oscillates on a horizontal, frictionless track. At t= 0, the mass is released 7wet-eoc( i(l;* lukvfrom 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) What are its frequency ygt8f m3ms9 xc u,i+i.btpe u)p;p: 6wand period on E mt8iy +wu3tus;: p69ppembfi xgc).,arth?

  A 3.00-kg pendulum is 28.84 m long.d0: v (vtl d-0 g*5wtjzf+7hg, thndwk What is its period on Earth?

  A pendulum has a period of 2.0 avq z1-aj r0b70 npwg;s on Earth. What is its length?

  The pendulum of a grandfather clopp c9 l62s8ytuf4jn *16newlvck is 1.0 m long. What is its period on the Eare1l68tp un9*n2cs4yplvj6 wfth?

  The pendulum of a grandfather c1vrrv;(nnerc u5 k8c0qo+90s/ f gteylock is 1.0 m long. What is its period on the Moon where the a qv(r0v+ 8/r1nu ef eocct0;yskn59rg cceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg sphericaxw 7kxd3de1i roa72fc 4pryg.), ns/ sl 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 frequencsfrd2 eko .pgny)/47rwxxd,i17 c3 say 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 angular displacemex3ft 3cg fmwk y*)gv98f5iro1nt of 8.0e. It oscillates wit31 f3kx fy9ig*frv m8gto5c)wh 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 frequencn;o,pcl + bcaj .c2p ktyuy56/y of the wave isj /.noctp;a pcy k,c26 by5lu+ 120 Hz. What is the amplitude?

  Figure 11-2 is a "snapshot" of a wavv+jdg24 to)thn t 0xtq0zm 02be at a given time. The frequency of the wave is 120 Hz. What is2mbx q )d4ht 0tgv j0n2ztot0+ the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a givi4) 3 m4ags rv q+rnkcx589rs4tptx, aen time. The frequency of the wave is 120 Hz. What is t n48ig,)+ kq9rc4r xavs3axmrtp5st4 he wave speed?

  What is the frequency of a wave whyl6v:0rdsu7g ra9 n2,l( exd qich has a period of 6.00 ms?

  What is the period of a wave with a frequency of 1500 Hz?by(pa 1nqk29q

  What is the wave speed if a wave has a frequency of 12 Hz and a wavelen d2,rx fmtn3k cs/ckf+ii 1+h-gth of 3.0 f+,k3ifi+ 2ndc /1c-rk tmh sxm?

  What is the velocity of a wave that has a wavelength of 3.0 m and a fr k7law5j,cm)kequency of 12 Hzm)cw ,alj 7k5k?

  What is the frequency of a 2.5 m wave traveling at 140-z+x q+ykn:njaxm5a 00 m/s?

  A piano string of linear mass density 0.0050 kg/m is under a tec bgyvn*osh88-h ;:qmjjdok7/ 1t/ecnsion of 1350 N. What is the kd8s j71c:/cgohto;* qv/mneyh-jb8wave speed?

  A string of linear density 6.0 g/m is under a tension of 180 N. Wv/-mmd) 9i+ kch iyor,hat is the velocity of propagation of transverse whkv-o i /y+9), rmimdcaves along the string?

A wave whose wavelength is 0.500 m is traveling down a 500 m long wire whose ton*,;1ce( 2kfwikwsu rlb*e9l tal mass bl9 c r kee1iwlu;wf2,k(*sn* 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 prop psstui p54*o*b7yl8gjw3i 1kagation 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 7ksj 4py**uiop3iwsl5 t8 bg1not a resonant frequency of this string?

  If a guitar string has a d6e1 rz9vyngan6-.bs fundamental frequency of 500 Hz, which one of the following frequencies can set the string into96 .zrn1sny v abd6-ge resonant vibration?

  A stretched string is observed to have four eq(y )ymmks1 k)yual segments in a standing wave driven at a frequency of 480 Hz. What driving fre y 1kk)ymy)ms(quency 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 stana0x8 1kzz*inifl5b q96i l ui,ding transverse wave pattern containing 3 loops. What frequency is needed if the s1 8 n,ii u6k5*ibxqlziz9al0f tanding wave pattern is to contain 4 loops?

  A string of linear density 1.5 g/m is under a tension oh tg/ x( y78jez 9rn9z1b)ty ax5d8ukmf 20 N. What should its length be if its fundamental resonana1k/ r9 jezd885yxttbunxz 9g (7yh )mce frequency is 220 Hz?

  Find the first three harmonics of a string of linear mass density 2.00 g/m andlj, 5mv. ziutk.qe0adv. w6g 9 l0.,l a gqm t.wuvk.9d6z5 ievjength 0.600 m when it is subjected to tension of 50.0 N.

A string of length 2q u(a)gh20 t,;hvwzlv.5 m is fixed at both ends. When the string vibrates at a frequency of 85 Hz, a standing wave with five loops is formed.qhlag) 2zt; vu (vwh,0
(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.