The time for one cycle of a periodic process is called t7jfx9 m oz : ;pic7t,lfj5yr4lhe

  For a periodic process, the number of cys3dl v*mu mj8(cles per unit time is called the

  For vibrational motion, the maximu wf wgug z/sgi* ee:y.b03b:-wm displacement from the equilibrium point is callbiwfw*esue/ g:-bgwzgy :.03 ed the

  A mass on a spring undergoes SHM. .fl:xpg/w w*kgk:g w4When the mass is at its maximum displacement from ekgg./ 4wpgw :lxk*fw: quilibrium, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass passes thro+( fds --nhygw8;r awlugh the equilibrium position, its instantaneous velocit; yf-a+h(8n -dlwwgr sy

  A mass on a spring undergoes SHM. When thess vk j6vpuf8r6 c99e8qg)dyk0;krf5 mass is at maximum displacement from equilibrium, its instantaneous accelera srv;kf9gj5s8pe)d89ry 0kf uk66 vc qtion

  A mass is attached to a vertical spring and bobs up and d/vn:x+z):)aqobp vf 2 cijz +lown between points A and B. Where is the mass located when i /nqovi+2z)j vx) +c:fl:pbzats kinetic energy is a minimum?

  A mass is attached to a vertiez,*f1 3vcl6vbj z, pucal spring and bobs up and down between points A and B. Where is the mass located when its kinetic energjpu*zb f6 ,c v,3zev1ly is a maximum?

  A mass is attached to a vertical spring and bobs up and down between poinhq0u lk- 5jli5ts A and B. Where is the mass located when its potential enerhulq5 k0- lji5gy is a minimum?

  A mass is attached to a vertical spring and bobswr kh 51k/pvxw 09bx- yc73hqs up and down between points A and B. Where is the mass located when its potential energy is a maxicxxh39v 5h 7-0b1pkqy /srww kmum?

  Doubling only the amplitude of a vibrating mass-and-spring system produces w+yzz/e8 k6/;umu2 hpb gkccv;hat effect on the +k;b/zhy/c2kzvuu ;c p 8ge6msystem's mechanical energy?

  Doubling only the mass of a vibrating mass-and-spring system vltz7q)32vx g produces what effect on the g vtzl2vq7x3)system's mechanical energy?

  Doubling only the spring constant of a vibra.9x9ovy/y-tiwfe4jt ijh;g. n6 an w3ting mass-and-spring system produces what effect oa.j9.i/ytxjf3ih9wnowt 6 g y; e n4v-n the system's mechanical energy?

  A mass oscillates on the end of a sw-vj2h atz q1cw(ag, 7pring, both on Earth and on the Moon. Where is the period the greqg7a-w2 a,wt(ch jv1 zatest?

  Increasing the springha9w -l:k 7augcy )k8h constant k of a mass-and-spring system causes what kind of change in the resonant frequency of the syghl:-u8wa h)kaky 9c7stem? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-sprin zjm97 +qejy+ng system causes what kind of change in the resonant frequency of the zy 9+jmnej+q7 system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of azn;xw0f5pdmap9f7pi/ hn- y1 mass-and-spring system causes what kind of change in the resonantn0di9w h7pn/f ppzm-5f ;a y1x 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 string of lengthocp86aw4s 56 -8htdry yir+n h d8roys65 a+ih- 86prhtwy4cnL. For this system, when undergoing small oscillations

  When the mass of a simple pendulum is tripled, the time required vbnvug1v 7fx4kco4rj7 xb1*6 for one complete vibratio74g 1nob1 4c vf7x6vkj vu*brxn

  Both pendulum A and B are 3.098g x8fjujb : p5j/afi m long. The period of A is T. Pendulum A is twice as hp89j/ jf:jai b gf5u8xeavy as pendulum B. What is the period of B?

  When the length of a simple pendulum lu +:)* ns,ge)mdablqis tripled, the time for one complete vibra)l:e bnag)+,q lsu*dm tion increases by a factor of

  What happens to a simple pendulum's freque gfs .. 7o)6svtsfif9pncy if both its length and mass are incrig .7p)ss.ffo9f sv6 teased?

  Simple pendulum A swings back and forth at twice the frequency of simplm(l3 ayrwubqwdhe4380 n* iz+e pendulum B. Which statement 0*qyre imdln43 wb (u+38 zwhais correct?

  If you take a given pendulum to the Moon, where the acceleration of gravityhd- zpe;)ie0 hczo1bg+: tu u0 is less than on Earth, the resonant frequency of the pendulum wille:; h+gz ie-) 0uutobdp1 0hzc

  Curve A in Fig. 11-1 repep.;k3l; xt jpresents

  Curve B in Fig. 11-1 represen,r 2bcex px/yvfp3oi. p)4.mj ts

  Curve C in Fig. 11-1 repr3r7e phui0 ex1k)j7s sesents

  For a forced vibration, the amplidw q c+gk.6wcj4-; vvrtude of vibration is found to depend on the

  In a wave, the maximum displacement of points of thsz7e7 :pyb2b ce wave from equilibrium is called be: zybc7s72p the wave's

  The distance between sw. )ekkm(b /-d7efvn5bc0plsuccessive crests on a wave is called the wave's

  The number of crests of a wave:z 0+;juoq61q i v3 w6gm4iegaevbet. passing a point per unit time is called the wave'sv4 3uw:q ei;ggzo iveaje1+ 06.tbm6q

  For a wave, the frequency times the wavelength is the wavekg i nlf0xiy1+2e0qm46 5o cgg's

  The frequency of a wave increases. What happens to the distance ber/)ydg 3axnl,yv1ow 2 5 klu-ltween successive cr)y5 vu a lx,ygl12w3nkodr/ -lests if the speed remains constant?

  A wave moves on a string with wavelength l and frequency t s8u r1jgepsz3(hzlj.4n*:u f. A second wave on the same string 4hj3 t(s rz:8 .usj*l1puengz 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, maw8p fju,-5 iladz7,gx5eu ji7ss M, and tension T. A standing wave is set up. Whichla p5,fi-x8zud 5g7j7u ej,w i of the following is true?

  A string of mass m and length L is under tension T. The speed of a-3nj qjivr: 3f6,mmad wave in the string is v. Wrm:6nfj3d,v 3 qj-iamhat will be the speed 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 tensze2:c ys6yg 2fion 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 no change in 2yez g6s2:yf cmass?

  A string of mass m anhfia2 *hj*g9k4 i2 fjnd length L is under tension T. The speed of a wave in the string is v. What will be the speed of a w2ikn gfj92hj a *fhi4*ave in the string if the tension is increased to 2T?

  In seismology, the S wave is a transverse wave. As an S wave trvaq 0uaf4 a7 y2)(ysaqavels through the Earth, the40a)ayqa7 fa(u qyvs2 relative motion between the S wave and the particles is

  In seismology, the P wave is a longiy6m2u 4n5yxi utudinal wave. As a P wave travels through the Earth, the relati u6n4uymixy25ve motion between the P wave and the particles is

  The intensity of a wave 1vb--xnm )l5hxyb v:h is

  A wave pulse traveling to the right along a thin cord reaches a discontiny glfj7wu(3p -bd35l ;ruz1k euity where the rope becomes thicker and h ;lpu (lbjr fwy53eg7-dzk3u 1eavier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equa0ue hzaytmx2 y;6*r2 sl positive amplitudes pass each other on a string, one is traveling toward the right and the other toward the left. At the point that thez;xtsyhy2r uam62 *0 ey occupy the same region of space at the same time

  Two wave pulses pass each other on a string. The one travn1oh2g yajx7 0.rat 2deling toward the right has a positive amplitude, while the one traveling towdha.70rn tg1y2 oa2j xard the left has an equal amplitude in the negative direction. At the point that they occupy the same region of space at the same time

  Resonance in a system, such as a string fixed at both ends;huq 4l)qgz )j, occurs when

  If one doubles the tension in a violin string, the fundament n8f.rznh.; (k p ig,h1xhlg1aal frequency of that string will increase by a ngxf ,h zph(;1 k hg8.nla1i.rfactor of

  What is the spring constant of a spring that stretches 2.00 zz 1,2 **tojrs7a0lddp dlro;cm when a mass of 0.6at 0s1l7ddpozz* l rd,jo2* ;r00 kg is suspended from it?

  A mass is attached to a spring of spring constai rjnq*)i1n t,d.rk l/nt 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 to its equilibrium position when it is oscillating. What is the amplitudek ntnd l/qji* )i1,rr.?

  A mass is attached to a spring of spring consfis2ashz*u1uiqth yi a*ev: ( 8cw5;3tant 60 N/m along a horizontal, frictionless surhiuz:*5qi3 s 8a* 2eahs1c;(fuyivtwface. 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 kpzd/ g vw: f /8po1vh/*tz0nz;wlc z7of spring constant 60 N/m along a horizontal, frictionless surface. The spring ip zc0hvzp: v;g 7*/kwz ztf o1/d/8nwls 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 SHM. It goes through 10 complete oscilla4r,hg jl ,cxkw +ak(n5tions in 5.0 s. What is th k4l(wa,khj,5 xrncg+ e period?

  A mass vibrates back and forth hi o(u5oo;dr +from the free end of an ideal spring 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 positiouro (dhi+5 ;oon?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m bc3ycel+5 r 6 gsxa78malong a 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 total energy xaer6 +5gscc3l yb7m8of the system?

  A mass undergoes SHM with amplitude of 4 cm. The energy is 8.0 )7kfa; .hj ohzJ at this time. The mass is cut in half, and the system is again set in motion with amplitude 4.0 cm. What is the energya) ;j.h zfk7ho of the system now?

  A 0.50-kg mass is attached to a spring of spring constant 20 Nz(qld cm6cxn /p5,ym8 /m along a horizontal, frictionless surface. The object oscillam/qc (yd x8cp5z n6l,mtes 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 to a spring of spring constant 20 N/m aloxj57bb tr+ kn-czz7e,l g1w o9ng 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 the kinetic energy and the potential energy the same?lzxk7ejtr-w+71b ,oc n 9gz5b

  A 2.0-kg mass is attached to the end of a horizontal spring of spring const(chg qurl): .kant 50 N/m and set into simple harmonic motion wit ()kch:q.gurlh 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 of a horizontal spring of spring constant 52; 7ld-ev:mg qv0noph0 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the tot gnmlv2;qd:h7 vpe-o 0al mechanical energy of this system?

  A mass vibrates back and forth from the free end of an ideal spring of s53r.d0bc o uswpring constant 20.0 N/m with an amplitude of 0.25c53dr sw .0bou0 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 equilibrium prl 84/ 6axjdkgosition and released. A frequency of 4.0 Hz is observed. What frequency would be observed if the mass had been displaced only 5.0 8x/gd64rj lakcm and then released?

  A 4.0-kg object is attached to a spring of spring constant d-gsx )ht-0g s(mmt-t 10 N/m. The object ittg(- xm-htm gs 0)-dss 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 constan+dskhj0 4fvc :niwah mw (ic.t*.;pv(t 10 N/m. The object iav.4s;mh(dn c (wc.t+p: f i*vj0whk is displaced 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 :n +mhlavu+gl36 f-hcx 56pexspring of spring constant 18 N/m, displaced slightly from its equilibrium position, and released. What is the frequeh5v6l 6gufl+m:x-na +3 hpxc ency of its vibration?

  A mass is attached to a spring. It oscillates at a frequency of 1.27 Hz wheno-; n 5ydcmwg, displaced a distance of mdcoy,wg5 ;-n2.0 cm from equilibrium and released. What is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to different springs. Md,(4 dx)hd lvni/jyvl6a cr.(ass 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 o4v6 x)vcdl.n(i/l (ryd,jh ad f B?

  A 0.30-kg mass is suspended on a spring. In eyodvm*mx6fg 8nj7ht2 9kr :- uquilibrium the mass stretches the spring 2.0 cm downward. The mass is then xh6m: ngt kyu9mdf*7o rj2-v8 pulled an additional 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 mycj y-f3q a1*ah(t/y+ a5rvpfass stretches the spring 2.0 cm downward. The mass is the f1f -yyrq *+/p5c(a jh3atvyan 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 equilibriumks c9* pjizq6:rszco 98wany :3me.f/ the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 8 c m :fn939.q oeaksz/w :rzsj6pi*yccm down and released from rest. Write down its equation of motion.

  An object in simple h 75glhyjz,,4wye 9rx*c da.imarmonic motion obeys the following position versus time equaticg hr*,y5 e ,xjdl9ai4ymw7z.on:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following position vers5 j2myg,iuk:fk 3 kb:9g0iz bxus time equation: z yu,j2:kbfikb0 g k:x59igm3
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following position versus -n aux/,iy 1hstime equation:x,/-hu 1i asyn
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring execute *vv );acj,i)ktxqk2y s simple harmonic motion according to the e )qaxjt2;) c,*ykv kviquation $y = 0.50 \; \sin (18\pi \times t)$ where y is in meters and t is seconds. What is the period of vibration?

A 1.5-kg mass attached to spring wilbu w* kh3,qvh i78xx+th a force constant of 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 stret8 ikw7q+v,h x*bhlx3uched 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 s7:quj9gxt -sc on4d 8xwings in 8.0 s. (a) What are its frequency and period8 7x t4ugos- 9c:nxqdj on Earth?

  A 3.00-kg pendulum is 28.84 m long. What is its period on Ez2h3ky7o0 qt xk7 c5fa d2;soparth?

  A pendulum has a period of 2.0 s on Earty+ ri b( 33uan*8giym :wxdsd jv:2q,mh. What is its length?

  The pendulum of a grandfather clo/dz.-9m/o53(b topgkdu soqjck is 1.0 m long. What is its period on the Eargbtd3(mu .z/ oq9j -/ poodks5th?

  The pendulum of a grandfather clock is 1.0 m long. What is itsp2 tqz.v(a:4di-7sj irm2x fq period on the Moon where the acceleratidjvips:r. 2 z 2-i74 fqmxatq(on due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attached-w9 v toxt7,yoae49 ou 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 frequency would have resultve x9to yuoaw9 74to-,ed 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 dispy6f.xe 80hmyeaem 7-xlacement of 8.0e. It oscye8fxmha.e 0 xm7ye-6illates 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 a wave at a given time. The frequency of t1k j/i8eu gc8nhe wave is 120 Hz. What is the amplit jk/ugcei18 n8ude?

  Figure 11-2 is a "snapshot" of a wave at a given time.dsdl t3ud 7t(ee3:hv ghlz*2nf60u;l The frequency of the wave is 120 Hz. What is the wat egle zuh;2d:d(vs*t33u0 fldl h7n6velength?

  Figure 11-2 is a "snaps brh7p0s)y,m3)t u0 ok)zhgjwhot" of a wave at a given time. The frequency of the wave is 120 Hz. What is the wave spee7y,msz0k)w0ohpu gjb rh ) )t3d?

  What is the frequency of a wave which has a peri a5sx.whrqaw 2;r-q -ohf61bg od of 6.00 ms?

  What is the period of a wave with yl2,3z vg9qnm a frequency of 1500 Hz?

  What is the wave speed if a wave has a fre:gq 2;nor c6qrj:n p6lquency of 12 Hz and a wavelength of 3.0r 6l::p;grj 2nqncoq6 m?

  What is the velocity of a wave that has a wavelength of 3.0q+m;+ 4tj)r7xt 7vzusokz 3 yy m and a frequency of o 4+s+qv zz7mky)t3rtxjyu7;12 Hz?

  What is the frequency of a 2.5 m wavjunt .-zio-s.a8 5 svwot5pu jri:1.xe traveling at 1400 m/s?

  A piano string of linear mass density 0.00dni6yhs8:4r d )z mgh+50 kg/m is under a tension of 1350 N. What is the wave d: dmrgz) yhi 68s4h+nspeed?

  A string of linear density 6.0 g/m is under a tension of 5 jwtl-m;t1l 9pvfv(l180 N. What is the velocity o1 ljt(lp5v;mf9-v twlf propagation of transverse waves along the string?

A wave whose wavelength is 0.500 m is traveling dow2*x5 9x):dwnj vhz6eg9g ralin a 500 m long wire whose total mass isl2hnae)*i dj z6gv 9w:9r5gxx
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,dx(xbjz)lx3 s2-xm si0 cov 7 fixed at both ends is 200 m/s. Which one of the following is not a resonant frequency of t0)2 vjzisb3lxcxms xd7-(ox,his string?

  If a guitar string has a fundamental frequency of 500 Hz, which one of th1eqp-pdv,a8g e following frequencies can set thappdgq , -81eve string into resonant vibration?

  A stretched string is observed to have four equal segments in a s3u5 7rncd fu;standing wave driven at a frequency of 480 Hz. What driving frequency w 5uuncfr 7ds3;ill set up a standing wave with five equal segments?

  A string, fixed at both ends, vibrates at ixl2cg j)q0(zl e,a8e 3o3eq;afq e r)a frequency of 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency is needed if th2lqje )ee lzi;q 3,aqg3( r8xoa)0 cefe standing wave pattern is to contain 4 loops?

  A string of linear density 1.5 g/m ijtifu+8 c /js;cz+re9s under a tension of 20 N. What should its length be if its fundamental resonance freqrc;+ je+ust8 ij9cz /fuency is 220 Hz?

  Find the first three hav; 7ne ax peo;;+8-j swywi;arrmonics of a string of linear mass density 2.00 g/m and length 0.600 m whsw;-7ij;on;aev ;a 8x erwyp+en it is subjected to tension of 50.0 N.

A string of length 2.5 m ik+wyr+j+rr* is fixed at both ends. When the string vibrates at a frequency of 85 Hz, a standing w j+ki*r+r+r wyave 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.