The time for one cycle of a periodic process i9y bnsp parha,j2lmd 3km9: *j*mv:x. s called the

  For a periodic process, the number of cycles per unit ti:tjupjzt :c ts m4z8d z92+ 2gj;niei;me is called the

  For vibrational motion, the maximum dispd12cw 5y1cys 8hv ema6lacement from the equilibrium point is cay 8s6mc51wvcdhy2e1 alled the

  A mass on a spring undergoes SHM. When the mass is at its maximum displacementlp+ 3vpz/1 t7wag1se7oi(lw e ont( *d from equilibrium, its instantaneous velot l epgvz7n o7ie+1 tlawwd(*/3p(1socity

  A mass on a spring undergoes SHM. Whmt jz/ivz3s(* en the mass passes through the equilibrium position, its instantaneous veloc vm/s(t3*izzj ity

  A mass on a spring undergoes SHM. When the mass is at co)3 z)z(kpu zxl. koqd9 z34rmaximum displacement from equilibrr o)zk xk(3d9z3zo )u.zl 4pcqium, its instantaneous acceleration

  A mass is attached to a ( 8lu1rnus u(mvertical spring and bobs up and down between points A and B. Where is the mass located when its kin n(s(r8uum1 luetic energy is a minimum?

  A mass is attached to a vertical spring and b,zh);2n+okov*8n3u nzn kvx mobs up and down between points A and B. Where is the mass located when its kinetic enern)3xnhv8zn,zv2m konok*;+u gy is a maximum?

  A mass is attached to a vertical spring and bobm.cc4b4z3d;ovg:e ,zr bi gj9s up and down between points A and B. Where is the mass located when its potential energy is a;zme3j.bg49,db g c: co4 zrvi minimum?

  A mass is attached to a vertical rxs.a4lqr ,5 rvmm;9k5e tjl)spring and bobs up and down between points A and B ;4)9 ,qkrl.mrmv sla xter55j. Where is the mass located when its potential energy is a maximum?

  Doubling only the amplitude ozwh 6-w5o/1ysi 4jh1eac gw6sf a vibrating mass-and-spring system produces what effect on the system's mechanical6 w/-whw si1 sayh4 65ceogz1j energy?

  Doubling only the mass of a vibrating mass-an q + guum- n,9tgz9d;cqm,aqb-d-spring system produces what effect on the system's mechbmcq ut -9 n,,dgaq;uzgmq9- +anical energy?

  Doubling only the spring constant of a vibrating mass-and-spring sn pqr p8z;zc066g 1)ke hheka;e, eqc+ystem produces what effect on the system's mechan,qag c6e zhk) 1e0e8+pk;cnr6qh zep; ical energy?

  A mass oscillates on the end of a spring, both on Earth a45 ctpq*xp1n cnd on the Moon. Where is the period the g5qn* x1tpcc4p reatest?

  Increasing the sprin c2ij.zqtvo- hbo0) pxt(va( 4g constant k of a mass-and-spring system causes what kind of change in the resonant frequency of the system? (Assu(.bj(2 4z -vpa) xtot ichvq0ome no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system causes what kind of change igc al+j b577cca2ei(w7ul oa+n the resona+c7luibj w5claga c7(e o27a+nt frequency of the system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system cau z,6xh,0l 8y11 peonrjmivxc; ses what kind of change in the resonant frequency of the system? (Assume no other ch,rp1m lo,hi n0e6yzj8c 1 ;xxvanges 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 attach3omgej8w0s bkw)-0 u9j f lu;bed to a weightless string of length L. gsowf bjwu-b0 k)3 j0ulm 8;9e For this system, when undergoing small oscillations

  When the mass of a simple pendulum is tripled, the time required for omn- ju-7zf: ljne completel u--mznj7f :j vibration

  Both pendulum A and B are 3.0 m long. The period of A is T. Pendulum A-io 7 *6l+cfp;wqd drr ntd7t8 is twice as td -nwdd*86ro;pcqi7+t7r fl heavy as pendulum B. What is the period of B?

  When the length of a simple pendulum is tripled, the time for one completeuc0f ttc/(k/+x 8hpir vibration increases by a fc+ c0hikf(ux// 8tpr tactor of

  What happens to a simple pendulum's frequfoj* l-6s* yluoo3t;d:3t mn2 dssd) pency if both its length and mass are inp-o dsnud6fy*tj3slts; :32 )*ldo om creased?

  Simple pendulum A swings back and forth at twice the frequency of si ia7/kj7)g8o u(k 6q1jco icylmple pendulum B. Which state8yulc kok7c 1gii( )oj7/6q ajment is correct?

  If you take a given pendulum t9 s4y(p2ewl0ygd 19i 9vp zbjro the Moon, where the acceleration of gravity is less than on Earth, the rippyz (bsjv2 1l9w0g4 yd e9r9esonant frequency of the pendulum will

  Curve A in Fig. 11-1 representjiw,e(j svya*b ( q +pr-tp8*ns

  Curve B in Fig. 11-1 rzun4k) oaclvg/5l(n 9epresents

  Curve C in Fig. 11-1 rep+xr.tpjc2d2 f resents

  For a forced vibration,ria8v,f+p7gv the amplitude of vibration is found to depend on the

  In a wave, the maximum displacement of points of the wave froaz gd1rsl6 3r2m equilibrium is called the w3 g drlzar621save's

  The distance between successive crests ojl jjyb;texd; 77f8 u.3-mxed n a wave is called the wave's

  The number of crests of a wave passing a point per unit time is called the wa8 y;cvu63z(udt4jycr ve'6ruzy c84y3 ujt c(d;vs

  For a wave, the frequency times the wavelengt.:v (vk (psq xd3ayj dvd 1ci.34qn-6wm, fvxth is the wave's

  The frequency of a wave increases. What happens to the ds55*ym.s*6l* .*3:fhcuelj dt7xzoy rzm x ubistance between successive cr*h5*efb.ux*y 7l lmoussz r* 5.6ytdzjxc:3mests if the speed remains constant?

  A wave moves on a string +2p teq5un:a:m2rli jlwcj7*f ;4awn with wavelength 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 the4lfaj2wej : u*rpca 57;2lin n w:+tqm second wave?

  Consider a traveling wave on a string of length L, mass M, and tension T. A g9ptof4qfko:t+manph+ l -. ,standing wave is+9p .knh,o ot q-pf:tgaflm4+ set up. Which of the following is true?

  A string of mass m and length L is under tension T. The speed of * qu6.qxax*k62fq wff a wave in the 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 f6xfxw*fu6 q k*q2.qa change in length?

  A string of mass m and length L is under tr h9bl,n + 7cs0y6(mvde grb-a-uy1g oa0ra( tension T. The speed of a wave in the string is v. What will 1m7,6 ge arl (b9(a-n adtbr-0 vshy+cyour0gbe 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 of a wag+st9n1 .kk cave in the string is v. What will be the +1 a.tkg skcn9speed of a wave in the string if the tension is increased to 2T?

  In seismology, the S wavn- f3h)/-v(m op e9i)gdzofx5a*pnkwe is a transverse wave. As an S wave travels through the Earth, the rel em*v 3ipa(pwf9hk5o-/ fdo) )-gxnnz ative motion between the S wave and the particles is

  In seismology, the P wave is a longitudinal wave. As xkzi cy42(gm-l:k2 v 1 11ypgfcpw.wn xxg38ea P wave travels through the Earth, the relativefy8e2zgkx.1 :1 lp- 2 kmw4nyixc1w3g gxpcv( motion between the P wave and the particles is

  The intensity of a wq r*a) i*:kgejvpl22uk /g(zjuti7 1qave is

  A wave pulse traveling to the righuorf(*4y yo* jt along a thin cord reaches a discontinuity where the rope becomes thicker and heavier. What is the orientatio*yyouj*f(r4 on of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitu-1*s k jtu9 twz7vuy .m/,wiotdes pass each other on a string, one is traveling toward the r.tt9wt*ywiv-1muj7o zk ,/ usight 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 other on a string. The one traveling toward-z4 f3mc/soqx the right has a positive amplitude, while the one traveling toward the left has an equal amplitudeo3sc4-fz q xm/ 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 endsd hsilm :usc28l 44 ge8kwj4rw38f i9n, occurs when

  If one doubles the tl0e s j3xzv)d0grt1- qension in a violin string, the fundamental frequency of that string will increase by a factor oj- rsle 3gz1 tx)qd00vf

  What is the spring constant of a spring that stretches 2.00 cmqwj /rm. g(2g6xt-wid when a mass of 0.600 kg is suspended fr6d.2 txgqw r( mwg/-jiom it?

  A mass is attached to a spka r+-h(hf - ckzhj,/8d+oogbring 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 back to its equilibrium position-gr8kdob(hh, fzco h /kja++ - when it is oscillating. What is the amplitude?

  A mass is attached to a spring of spring const/ t.k4845u 4xxip1 cog obqi5je:emnrant 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 kmeqotgpr8/5 oxi4ni1:5jx ec .4bu40.50 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 horiz1j 98 txdh5n zxdg/fm9ontal, frictionless surface. The spring is initially stretchx1dh8 z 9 xjgdf5n/9tmed 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 uj/y2ge wpy, -tndergoes SHM. It goes through 10 complete oscillations in 5.0 s. What is the period 2wpt -/jeg,yy?

  A mass vibrates back and forth from 4bvpn7x-ax: if )dg1(iua: lsthe free end of an ideal spring of spring constant 20 N/m with a-ux 4na)d g vlxis71 :ba(:fipn amplitude of 0.30 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 coni:4elj+w :t mestant 20 N/m along a horizontal, frictionless surface. The object oscillale:4eti:+ wm jtes 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 is 8.0 J at th ,(rlac3 .u8ktgbk) fois time. The mass is cut in half, and the system is again set in motion with amplit),g3. u fr(a8ckkol btude 4.0 cm. What is the energy of the system now?

  A 0.50-kg mass is attar 3c ai/qegg-pyfiq x;-g++0oched 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. What is the amplitude of vibracg i/oq-y+frgqa +3- 0e ;gpixtion?

  A 0.50-kg mass is attached to a spring of spring conn*,,2w2f8hk e fgbvuo2 yfw o(stant 20 N/m along a horizontal, v,bow2f (,ynwff 2k* g8u he2ofrictionless 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?

  A 2.0-kg mass is attached35rg, dycc itn+h o+j4 to the end of a horizontal spring of spring constant 50 N/m and set into simple harmonic motion with an amplit n + 5hjty,cdor+4cig3ude 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 springr 7h;o jv4- (0okquzqg constant 50 N/m and set into simple huvo4-k (0rh qz;qg7j oarmonic 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 ideal springpk;u (rfqi m42 of spring constant 20.0 N/m with an amplitude of 0.250 m.kr2pm qu(;4f i What is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring system is displaced 10+tv v3x9 r o+dleu yu(d/8o1we cm from its equilibrium posix/do( o8t+yvr 3le u1deuw9+ vtion and released. A frequency of 4.0 Hz 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 Nl8y 0bq, vkdu+babgm-n;1szo i)2b.g /m. The object is displaced bv2 );go+q isg ma0kb,lznb-bydb8u .1y
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. n2ci:,sanmc :s va2u (The object is displaced bvns 2:s a(n2 iuacc:m,y
5.1 cm from the equilibrium position and let go. What is the frequency of vibration?

  A 2.0-kg mass is hung* fr-a.si6glgkndu0ga,r* b , from a spring of spring constant 18 N/m, displaced slightly from its equilibrium position, and released. What is the fren -ug dl*.sf6,,0*kib ggr aarquency of its vibration?

  A mass is attached to a spring. It oscillates at a an w )bd5ly *2b.wdq,,*twufnfrequency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What is the maximum velocity )l yw*w2qnb,d .5d*tw fb ua,nattained by the mass?

  Two masses, A and B, are attached to diffwr;u ,tem. z) eh z:r*-vif,zferent 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 of B?mzve. ,hf rf-r,uw zei;*)zt:

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass stretche.pa / gu zzakvw2*bawv*6/c*ys the sprzp gav/auc*k* a26wbw. z *v/ying 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 oscillation.

  A 0.30-kg mass is suspended on a spring. In equilibrl.-werdk/ 7mu ium the mass stretches the spring 2.0 cm downward. The mass i 7rkmw -e./duls 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 stretches the sh. vxhl 6 5lu koy-cn1q7:zfp;pring 2.0 cm downward. The mass is then pulled an additional distanc-6l; p 7xqvlnco: 5uh1zf. khye 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 eqps3y+vc fmqw2ak(6 5.dc2 ek) )fxygcuationqe5 f)2sayk+6c2(3yfx gd)vcm kpw.c :
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic mojpor(hx p+*2htion obeys the following position versus time equath*h j+ r2op(pxion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following position v: ou t8(vdo)dvn3pj t*ersus time equatio3jdn(uvo8td to)*p: v n:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end 1mby.+g j o(ecivwy-hyk; 59cwc; i30o;auxw of a spring executes simple harmonic motion accordhyj-xy9 g k5my; i;w0ia bvowe+oc.uc(1w 3;cing to the 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 withot* la2y hnso8, 7i2ce 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 stretched oytl7ihe c*2,8no 2sa 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 sw g*p 8un5ubx6fryry. (ings in 8.0 s. (a) What are its frequency and period onr.8* g5( nbfyrpu 6uxy Earth?

  A 3.00-kg pendulum is 28.84 m long. What is its period on Eararfm5ai95:eap1 .x vdth?

  A pendulum has a period of 2.0 s on Earq9rzo1o np d*4 w4 j(qpi/wye 9i8x)tnth. What is its length?

  The pendulum of a grandfather clock is 1.0 m long. What is its period on the Eubu( np4q6 va* brif)1ar 4biqpun*b f6v1 ()aruth?

  The pendulum of a grandfather cloca p 9k.64l-stuutlva 3k is 1.0 m long. What is its period on the Moon where the asal3 u-6atu 4.t9 kplvcceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attacheesy ,cq5c ;0ui4d 9drsd to a massless string. When the mass is displaced slightly from its equilibrium position and released, the pendulum swings back and fort09 sdy rs ceq5ci,4;udh 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 consisting of a 20-g mass has initial anguajvh8*2ej4,+qd , tmpo sbp1ilar displacement of 8.0e. It oscillates with a pevpi4j ,2 bsdpm*+a j1etqoh ,8riod 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 giird zdegq24*k* nba-0mio-6 yven time. The frequency of the wave is 120 Hz. What is the amplitui6-*r*4ne mqoz 0 gybi-ddak2de?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequed.- :ehjdih8 nncy of the wave is 120 Hz. What is the wavee:djhd ihn.8 -length?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency of thv 9n)tgjkv)cky4+ (jz e wave is 120 Hz. What is4v )ktjjy )z vg9n+c(k the wave speed?

  What is the frequency of a wave which has a period of 6.00 ms9oyaky*/ 2 kec?

  What is the period of a wave with a frequency of 1500 Hz?yoe zu0q;j( c/ ; czzy66qpy1j

  What is the wave speed if a wave has a fre+ ,id( vbiii-w/bynvk+ wp0i9quency of 12 Hz and a wavelength of 3.iwdni ivi-0bvp(/iw by+k, +90 m?

  What is the velocity of a wave that has a wavelength of 3.0 m and a fre123-pe xzc bfiquency of 12 3c2f1xpebz -iHz?

  What is the frequency of a 2.5 m wave traveling at 1400 + bvc3o 9x:(iv :hmynt yldi34m/s?

  A piano string of linear mass.8z-+t v(ka8q ffcj0iz7 y6tmyl ;nsz density 0.0050 kg/m is under a tension of 1350 N. What iyms6.(qvk8f7 t zz;-f0 y n c+la8ztjis the wave speed?

  A string of linear density 6.0 g/m : vv/9lj9fleckd7m k 2is under a tension of 180 N. What is the velocity of propagation of transverse waves alongv m:v 992d ekljlkf7c/ the string?

A wave whose wavelength is 0.500 m is traveling down wo6s1msw gw507n0bix a 500 m long wire whose total mass isgo0m i 61wxw70ns bs5w
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 longza8v+jbd 2aa r ioc37x-85euw string fixed at both ends is 200 m/s. Which one of the following is not a resonanuir5 x-2v8c d37wjaeaz+ b8o at frequency of this string?

  If a guitar string h3 (uw7-ec/ho,+nde b6vm g znlas a fundamental frequency of 500 Hz, which one of the following frequencies can set the strin-om v7 ( hebe3dc,z nu6+w/nlgg into resonant vibration?

  A stretched string is observed to have four equal segments in a ( rbdsrs7+km/-l w gf0standing wave driven-k/ds r(0rg7w+f ml bs at a frequency of 480 Hz. What driving frequency will set up a standing wave with five equal segments?

  A string, fixed at both ends, vibr:z+-rv. fmm)(uf l pkbates at a frequency of 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency is needed if the standing wave . lfbv z+(-mu:krfm)ppattern is to contain 4 loops?

  A string of linear density 1.5 g/m is u 37aakb3 ysj2onder a tension of 20 N. What should its length be 2yab 3sa3j7koif its fundamental resonance frequency is 220 Hz?

  Find the first three harmonijd0r)299k h ch/77ruore4tbl lmss mj(z)ri4cs of a string of linear mass density 2.00 g/m and length 0.600 m when it is submlc4b rm20k 4s9r(7 )l tj9j7dh iz ror/)eshujected to tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. When the string vibrates at ( gx3w 0/u dhwj:t8xo. e-jllja frequency of 85 Hz, a standing wave with lj3dox .xjl0 :(wte-8w/ ghuj 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.