The time for one cycle of a periodikdh y4/t6 3ohg;mz3ijc process is called the

  For a periodic process, the numbem4ujf1rnqy1 i2s 0s/kr of cycles per unit time is called the

  For vibrational motion, the maximum diy(y4ivu o- ke4;8clb ysplacement from the equilibrium point is called c-4y(y8uikvl oe;4 yb the

  A mass on a spring undergoes SHM. Whh0a:q9p wd4qpgm0, lqen the mass is at its maximum displacement from equilibrium, its instantaneous v9:hp pq a00qmdqwl g4,elocity

  A mass on a spring undergoes n*bivbf*fmj iz(q-7+ SHM. When the mass passes through the equilibrium positif*qifn* ij+b7bv- (zmon, its instantaneous velocity

  A mass on a spring undergoes SHM. When tv s- w.gnfhs270gdd- n1mczpr9uv)a 1he mass is at maximum displacement from equilibrium,p-vsc)1wgn 0 9zgd dr fnsv-ahm.1u72 its instantaneous acceleration

  A mass is attached to a xfa6efk 2* 3n-pb8vzkvertical spring and bobs up and down between points A anfv*62zp ank8f-3 xbked B. Where is the mass located when its kinetic energy is a minimum?

  A mass is attached to a vertiqwop:qvlt-i(7aij -w z * v3l0cal spring and bobs up and down between points A and B. Where is the mass lzq-(o wq 0ji:7lwt 3vi-alpv*ocated when its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up and down bu* jy*hrgn13l t4cgb, etween points A and B. gu4gl *btc,y1rj3hn* Where is the mass located when its potential energy is a minimum?

  A mass is attached to a vertical spring and bobs up and :hs3 tr8tet.p 4(eva rdown between points A and B. Where is the mass :v r pr.4steht8e(t3 alocated when its potential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-skd2,a5;w/ cri oqn r)hpring system produces what effect on the system's mechanica a5w;rqcd n2r/ ik,ho)l energy?

  Doubling only the mass of a vibrating mapio 0sy xv2jk: 6s3in)ss-and-spring system produces what effect on vo23n06i:x )jsyskip the system's mechanical energy?

  Doubling only the spring constant of a vibratingjj+nlu -lfj d ; r3z;24ue:tkh mass-and-spring system produces what effect on the system's mechanical erf l4tju;jhjk3l;zn :- +e2 udnergy?

  A mass oscillates on the end )xk6e4r:- qy-gxmhrohw3gsx*4 6g d wof a spring, both on Earth and on the Moon. Where is the p*g 6x)x s:odx3geghmrkw- qh6y -w r44eriod the greatest?

  Increasing the spring constant k of a mass-and-spring system causes oxj:5pa 77hvcv l d7-bwhat kind of change in the resonant frequency of the system?va5ob:x777dpl- c j vh (Assume no change in the system's mass m.)

  Increasing the mass M of4 k0n0xsls 3ui a mass-and-spring system causes what kind of change in the resonant frequency of the system? (Assume no change in the system's spring constant k.)s43ku0lx n0is

  Increasing the amplitude jou8(2r4 j0ff +ud6 f4sbcswmof a mass-and-spring system causes what kind of change in the resonant frequency of the system? (Assum2focw+fsbms80udf6 j(ur j 44e 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 weightle: xnwxmgza a)s,/2r52xx t e6iss string of length L. For this system, when undergoing sm5) i:6rga 2xmnset , xw/axz2xall oscillations

  When the mass of a simple pendulum is tripled, the time required for one comple xx575c 4g53)cto tmw3sqtssd x6q u0wte vibrat6m04g5xc35qs 75o s )tdttus3wqxcxwion

  Both pendulum A and B are 3.0 m long. The period of A is T. Pend 3dsnu2;ayb* nulum A is twice as heavy as pendulum B.;a dn* y3bnu2s What is the period of B?

  When the length of a simpjb gn. mjx15(90 xxk-bfwak6b le pendulum is tripled, the time for one complete vibration increases6 9bwx m(a.1gb-xnkxbf0 5kjj by a factor of

  What happens to a simple pendulum's frequency if both it m9uj9apqje0c *)et-qs length and mass are increasejcm-*j0)apqe 9tq ue 9d?

  Simple pendulum A swinsr8/zh/yr h. jlhsg/ ;gs back and forth at twice the frequency of simple pendulum B. Which strly rs/h gsj8;h/h z/.atement is correct?

  If you take a given pendulum to the Moon, where the acceleration of q u1 : nle;t*b7,kiosvcf*v,zgravity is less than on Earth, the resonant frequency of lzunk,t s1 7b;oqe:f*c*viv, the pendulum will

  Curve A in Fig. 11-1 represents n(qwnk ;nnabal 4 0j+9e( spk,

  Curve B in Fig. 11-1 rep unw9gjq38w amf- t47udviu 82resents

  Curve C in Fig. 11-1 repr 3 cmp-bcjt:v9esents

  For a forced vibration, the amplitude of vibration is found t r6cej*9- w 7loxr8hxf r58zgko depend on the

  In a wave, the maximum displaceme4zj42cd wg yt.nt of points of the wave from equilibrium is cal2j4zg4.w ydctled the wave's

  The distance between 0u9t wfq.qon x;o:*u lsuccessive crests on a wave is called the wave's

  The number of crests of a wave passing a point per unit time is called the wavn(5bc jah jaqb9 r6;w;e'j b ;q;6wcah5jrb(na9 s

  For a wave, the frequency times the wavelength is the wave'qkat4-;g 9m(sur 06hf jmm:rds

  The frequency of a wave increases. What happeh -8 6didexs: :;zvddl)qf;oh ns to the distance between successive crests if the speed remain; oq e8hz6v-;ld)d:s xfdidh:s constant?

  A wave moves on a string with wavelength l and freque +ss,rxbo4 mg2ncy f. A second wave on the same string has wavelength 2l and travesxb gos2rm 4+,ls 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 tensiknfli tjii(opb g43*ry0 +k28on T. A standr2yn(fil 0iotkijg4p*kb+8 3 ing 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 wavep/o)ro6l6 vcsh((x 0skgcd c/ in the string is v. What will be the speed of a ck 06d( /ohsv6lc ops(crg/x)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 speed of a w9 jj,pqw4/d3b* smrlhave in the string is v. What will be the speed of a wave in the string if the length is increased to 2L, w dm/*4bhjjsplw,93 q rith no change in mass?

  A string of mass m and length L is under tension T. The speed of a wave i:p0b;fu 0tjc+ev ,m run the string is v. What w :r00;tj+c m v,befupuill be the speed of a wave in the string if the tension is increased to 2T?

  In seismology, the S wavef 5q*t k0lqi/ ahqy8v( is a transverse wave. As an S wave travels through the Ear qth5*0a /yq 8lq(vkfith, the relative motion between the S wave and the particles is

  In seismology, the P wave is a longitudi.hafimp5m hi40j5 (tvnal wave. As a P wave travels through the Earth, the relative motion beti jv4p5h0 f(m.ah 5timween the P wave and the particles is

  The intensity of a wave iskj f3u+5p*5+ljbfikr px 68gk

  A wave pulse traveling t; ttn.qk yn3odf,hg0)qe 3o6n o the right along a thin cord reaches a discontinuity where the rope becomes thicker and heavier. What is the orientation of the reflected anodhnk.t q6 gtenf30oy) qn,;3d transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each othej9ec7 8j-o6-xm brm)h m3yukk r on a string, one is traveling toward the right and the other toward the left. At the point that they occupy the same region of space amj6rx oukmbmyc j)-k9e-h7 3 8t the same time

  Two wave pulses pass each other on a string. The one traveling ,(p9 ad o3wzuytvl4e w-r f,5btoward 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 theaed-y4fp v,(w blou 9twr 5z,3y occupy the same region of space at the same time

  Resonance in a system, such as a string fixed at both ends, occurs w8ghfkz.5w.p) u: b gafv. j6ow4 y)fojhen

  If one doubles the tension in a viol j6:33uo3ddr pmws.apin string, the fundamental frequency of that string will increase by adj3da so3pu3wp.6m :r factor of

  What is the spring constant of a spring that stretches 2.00 cm whene9v/,dq 618p+zwdz/mbmi .bgyuon r 3 a mass of 0.600 kg is suspended from /,d uv8mqybr ngd.16+/ozeib3mz9 wp it?

  A mass is attached to a spring of spring constant 60 N/m along a horizontal, frsrs2jg d1jp 0 +mc(1avictionless surface. The spring is initially stretched by a force of 5.0 N on the mass and 1(02+ 1sj jv gcmsadprlet 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.03x+3a vxgp5k5d y9/fdflmo on,a nb spring 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 when it is oscillating. Whdnpbx lgvfa5m, 5da30 yf+n o/o93x k.at is the period of oscillation?

  A mass is attached to2ajx i2u73pbtw d*u 6w a spring 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 t62wx iu2a d*u 7bpjw3when it is oscillating. What is the frequency of oscillation?

  A mass on a spring undergoes SHM. It goes through 10 complete osci hq+sxin z e71(.fl,zjan.n0illations in 5.0 s. W1j nq (zx,n0+nzahsi . 7lefi.hat is the period?

  A mass vibrates back and forth from the free end of an ideal s (pr57qwkf0(.hpebh 7.qpcdt pring of spring constant 20 N/m with an amplitude of 0.30 m. What is the k7q.tp7.(p5 rpb hwk(h df eqc0inetic energy of this vibrating mass when it is 0.30 m from its equilibrium position?

  A 0.50-kg mass is attached to a springqgqme jf1z2p/.9r q*e 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 total req/9 qje 2zpm.*fq g1energy of the system?

  A mass undergoes SHM with amplitude of 4 cmxwu- f6.ci9cz*ycp:,q 7 u li8ochz/k . The energy is 8.0 J at this time. The mass is cut in half, and the system is again set in motion with amplitude 4.0 cm.i 68hf . l oc-pi/*kz7uc9uy:qcwz,cx What is the energy of the system now?

  A 0.50-kg mass is attached to a spring of spring ma). gyt yj qn;g+bi9 isjl.(-constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simplebqsi+;lj-y.m.)(ai n 9tgyj g 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 along a hormu5,w hvg7 ylav,h z9(x .m0owizontal, 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 theuw 5vom(yx9 m7zg,w l h0va.h, potential energy the same?

  A 2.0-kg mass is attached to the enyj(y3ml.i:kfdh3u z) d of a horizontal spring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the total zhumlfk3y .d:i3()yjmechanical energy of this system?

  A 2.0-kg mass is attached to the end of a horizontal sprinn 5m(qpczmo -yu)k35; ywgf m/s iv2b7g of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the total mechanicaw25/z 3mo)mysp(y k cfngu-75; imvqb l energy of this system?

  A mass vibrates back and forth fuk *3 zejd9d(wv6ddv1gk f *l/rom the free end of an ideal spring of spring constant 20.0 N/m with an amplitude of 0.250 m. What idlvv6/ u d*9k 1 fdg(ke3jwdz*s the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring system(4u i6 lh,kqra is displaced 10 cm from its equilibrium position and release qk(aurl ,i46hd. 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 att s.t vg6haas81ached to a spring of spring constant 10 N/m. The object is displas8.g6ah s1 tvaced by
5.1 cm from the equilibrium position and let go. What is the period of vibration?

  A 4.0-kg object is agntk7*1jad-:b ur* f bttached to a spring of spring constant 10 N/m. The object is dispkgdt*-uar b:*7 f 1nbjlaced 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 co)ky-pjwrvw /j,qr;7djo s 77 3bult 4enstant 18 N/m, displaced slightly from its equilibrium position, and released. What is7ld j)qu4p jsw;, 7eytkbrjrwov 37 -/ the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequenc12;gb/c uvvoy y of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What is the maximum vgc 1u;o2yb /vvelocity attained by the mass?

  Two masses, A and B, are attached to d bn+ym2mh8rs)jko dhg+z4e 2:ifferent springs. Mass A vibrates with amplitude e bm82srz2+ dg4)ojm+khhn:y 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?

  A 0.30-kg mass is suspended on a spring. In equilibrium the ma6 /3 .(q mteqgpv7xaysss stretches the spring 2.0 cm downward. The massv/a x.et mg736p(sqy q 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.5qmc+9y ii*d) jhjx s0 s:)hdv 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. xjs*0sd9hqj y5 :)diic+) vmh Calculate the total energy of the system.

  A 0.30-kg mass is suspended on a spring. In equild xbbgv-2 3uv4ibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and relg-4vdbu 23vbx eased from rest. Write down its equation of motion.

  An object in simple harmonic motion obeys the following position h*)lta, wub e t54)8nyjgeif(versus time equatenl) 4etitg5,y 8ua)w *(h jfbion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following position vervha ;lrk*d.zv.q( cz+sus time equav kh. ;zar( cvzd+q*l.tion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following positiofzzd ). bq.ge1n versus time equa fbzezd).1 g.qtion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring execut(gr0 2 8tpdt1bn,yxq gp vpb25es simple harmonic motion according to the eqp(dytpb, 0np1g25rx tg 8v 2bquation $y = 0.50 \; \sin (18\pi \times t)$ 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 cf*w nd,vane88 6kn8 ironstant 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 i*8nwrn fk8enai86d, vs, 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 8.0e3b.-vgisqe ( s. (a) What are its frequency and period on Eeb3i. s-gq ev(arth?

  A 3.00-kg pendulum is 28.84 m long. What isr4dea.af)(yj4s51 4+ec4blg t w hqws its period on Earth?

  A pendulum has a period of 2.0 s on Earth. Whacwvn p r0 ;ir1;rz.-yvt is its length?

  The pendulum of a grandfather clock is 1.0 m lon8 xyto+a ymetn, (hn;2g. What is its period on the Earthx tn;28, yomh(+aetyn ?

  The pendulum of a grandfather clock is 1.0 m long. Wn)uw/xh.vj p+ hat is its period on the Moon where the ap+hxnw.j)v / ucceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherh7x u c3jznunes4.0dl19*/erp 4vrrxical 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 ocls.34*4/j0rurxnvp91zhd eu er 7nx f 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 angular displacemen3*yp2 *pzxxlit of 8.0e.2*pxzp 3lixy* It oscillates 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. Th 9v,k/n)k kocfe frequency of the wave is 120 Hz. What is/kk vc 9)k,onf the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given a+hh l+8j:chdt6m++ 5mkq fnyc45da ptime. The frequency of the wave is 120 Hz. What is the wavelf pm8 d4h +jqyck5nc5h++ +d 6:aahmltength?

  Figure 11-2 is a "snapshot" of a wave at a gi lcu:elmla 9g-4c6joqz;h 0d6ven time. The frequency of the wave is 120 Hz. What is the wcq0u l4em :gl9j- claod6hz;6ave speed?

  What is the frequency of a wave which hwn9oev mjq -a d:3*bq4as a period of 6.00 ms?

  What is the period of a wave withdg w)pi i,z n4zn.;xjc: 1x6nj a frequency of 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz and a wavelength of 3.k,dgng( +4kj/h zau3j0d jz(un+/jhk g,ga k43 m?

  What is the velocity of a wavepa h2f0aa46f v that has a wavelength of 3.0 m and a frequency of 12 Hz?4apvaff 602ah

  What is the frequency of a 2.5 m wavea 0 +, oo6(s37ecxad +byntkac traveling at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is under a tensif dvp x1+4/mntla8du. on of 1350 N. What is t t d8fdnv1aplu 4m./+xhe wave speed?

  A string of linear density 6.0 g/m is under a tension of 180 N. What is tt:r 7w1yk hy:she velocity of propagation ys:: 1yhrkw7t of transverse waves along the string?

A wave whose wavelength is 0.500 m is traveling down a 500 m long +z 9c0d0ywta fk ;p0umwire whose total mas 0kpt0dc;yz0m 9 fwua+s 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 transfl97p d: j 3+cjo5tntsverse wave on a 2.0-m long string fixed at both ends is 200 m/s. Which one of the followi :5lsdt7f nto3c 9pj+jng is not a resonant frequency of this string?

  If a guitar string has a fundamental frequency -8+ofu.m h si1bo .p+jx7aqabof 500 Hz, which one of the following frequencies can se bamj18f.+pobx7qoh.isa+u - t the string into resonant vibration?

  A stretched string is observed to have four equal segmen ri4t3qkxhz7 eox76(xts in a standing wave driven at a frequency of 480 Hz. What driving frequency will set up a standing wave with five equal shxi ( ot3zx7xr6e k47qegments?

  A string, fixed at both ends, vibrap.* zgn; x* zphs8sn/rtes at a frequency of 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency is needed if the hp.gxn /p*s;* rszn8 zstanding wave pattern is to contain 4 loops?

  A string of linear density 1.5 g/m is under (cv m-6ibax 0fa tension of 20 N. What should its length be if itsx0b-i( fvcma6 fundamental resonance frequency is 220 Hz?

  Find the first three harmonics of a string of linear mass density 2.00 gtnpub k8zsq9na9 0:d:2dx : af/m and length 0.600 m when it : 0apkfxda98:nbuzdst q n 92:is subjected to tension of 50.0 N.

A string of length 2.5 m is fixed at both e/ hv bm)t(bu l5hp0z)inds. When the string vibrates at a frequencyiz th 0 h5p/)(ublmbv) of 85 Hz, a standing 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.