The time for one cycle of a periodic pro ;yrv h)net/3hcess is called the

  For a periodic process, the nu-tw.3gsrcin3:6v pw j mber of cycles per unit time is called the

  For vibrational motion, the max9n trv i1ex7,n16g6eamncq7l imum displacement from the equilibrium point is called t xalcr1v qe7em6n,6g1 97intnhe

  A mass on a spring undergomicc-l0; 4na tkc2// 1hwshbies SHM. When the mass is at its maximum displacement from equilibr -hsci/ /1 nkc0b;4lm ai2tchwium, its instantaneous velocity

  A mass on a spring undergoed-f1t shk2,gqs SHM. When the mass passes through the equilibrium position, its instant 2s kqhf,1dgt-aneous velocity

  A mass on a spring undergoes SHM. When the ma xl2*yy-qal2n 3isf -n)unp ,fss is at maximum displacement from equini,x*u3lnpn - sy- lf2yfa) 2qlibrium, its instantaneous acceleration

  A mass is attached to a vertical spring and bobs up and down bewvjj0brrz9 )1g-dzj0 :/wpebtween points A and B. Where is the mass located when its kinetic energy is z 0 dr- p1vzbbw:gjjjw/)9 e0ra minimum?

  A mass is attached to a vertical spring and bobs uphw .:-;,utnk yvr/d *c 3svmtd and down between points A and B. Where is tk nvd v*r :;d3,wuh/y-cs tmt.he mass located when its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs uppkuvh4c 1t 0 ,l0ffcdye*r9v0 and down between points A and B. Where is the mass located when its potenh9f00y4 lfp* trk 1ccv0d,euvtial energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down between q1n; j6cu (i0oxymth-p 6j-z7p-vyt wpoints A and B. Where is the mass located 0vy th jt( m1uc-z7y-i6wxn-;6joqpp when its potential energy is a maximum?

  Doubling only the amplixn a*wg,k.g ;rtude of a vibrating mass-and-spring system produces what effect on the sykrn*g wax;g. ,stem's mechanical energy?

  Doubling only the mass of a vibr v3nz*o.haw f*6ovipm+l .1gfating mass-and-spring system produces what effect on the systemwf.on1i.pv* v* mf l6hza+og3 's mechanical energy?

  Doubling only the spring constant of a vibrating mass-nym,-euw2z czqdpff , t *m62byr 9s 3c/;cfb8and-spring system produces what effect on the system's mechanica/ b98c 23nzbcuyf2me p c- smyf*t,;z6 drwqf,l energy?

  A mass oscillates on the end of a spring, both on Earth anddpq ilnm 3a0-5 on the Moon. Where is t0m3 l5i pda-qnhe period the greatest?

  Increasing the spring constant k ol/9 d-xnm52xi lhtdw/f a mass-and-spring system causes what kind of change in the resonant frequency of thx- xht inw5ld29dl//m e system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-spri chi 479ood7ywng system causes what kind of change in thc 49hdo7 oi7ywe resonant frequency of the system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-andex1iu) -k2 tsd-spring system causes what kind of change in the resonant frsdt) xeu2k -i1equency 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 weifv gkx:nu:+,w ghtless string of length L. For this system, when undergoing sxvkf:, nwg:u+ mall oscillations

  When the mass of a svy(.2 s9s qnpximple pendulum is tripled, the time required for one complete vibs v9q(s xn.y2pration

  Both pendulum A and B are 3.0 m long. The period of A is T. Pendulum A is tiatc5 7q)t5m vwice as heavy as pendulum B. What is the period)q55a imt 7vct of B?

  When the length of a simplwd4o5mbqf ;+ u)7d ngme pendulum is tripled, the time for one complete vibration increases by a fact)qnod f4ubw m7;d+g5mor of

  What happens to a simple pendulum'0w1clzbxne s 2+ bjaetm :g120s frequency if both its length and mass are increased?1sl bx e n+0j21z:c 0a2btwegm

  Simple pendulum A swings back and forth at twice the frequency of simple pendirg a-ys,7u*u ulum B. Which statemerg7 s,-yai*uu nt is correct?

  If you take a given pendulum to thegs9, gkojp,a ;jarxz)5 7y7ot Moon, where the acceleration of gravity is less than on Earth, the retk, j, 9ga pgr7x;yoasjo)z75sonant frequency of the pendulum will

  Curve A in Fig. 11-1 rep1t wnhkoh*1f5) 2+)j u8 iltn4zrkwyo resents

  Curve B in Fig. 11-1 represenzj-obk2* y7nh :p v1ccts

  Curve C in Fig. 11-1xqi; s8w(d6v 6i3 adaz represents

  For a forced vibratiov8*;fsicr34-ml a1 c( wulteru+vea )n, the amplitude of vibration is found to depend on the

  In a wave, the maximum displacement of points om i 6se2:7w6iyddjd6 hf the wave from equilibrium is called thimsidhyd672 e6 d6: jwe wave's

  The distance between successive crests on a wave is called the wavz88 k jl2 sxal6uf(6tje's

  The number of crests of a wave passing a point pek8jvup 7jkwew1zs5 f gl* k(/1r unit time is called the wave's*wu/e w7 gk8vjkj51pfz s(k 1l

  For a wave, the frequency times bs;pl* viep1;rre8+m the wavelength is the wave's

  The frequency of a wave increases. What h 0y2we:zav )(lce pj:iappens to the distance between successive crests if the s p0vj( :w:zaly)ee2icpeed remains constant?

  A wave moves on a string with wavelength l and frequency f. A second wave on thezpao5ni u62o 6uvf vfn yu.73* same string has uyzo2fu753 6vn.aonvf6 * upiwavelength 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, hnu*zsa :dgq67* tn. ingz 5,aand tension T. A standing wave is set up. Whic niaz 7 atn.:*us6,5*qdngzg hh of the following is true?

  A string of mass m and length L it u;g(v0iow vn. :ky 6ie7kh2hs under tension T. The speed of 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 change in length? v;hn.(k eoyk:gw 627hivi0tu

  A string of mass m and length L is under p hat..qz v7v)tension T. The speed of a wave in the string is v. What will be the speed of a wav.)7avpvq ht.z e 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 ozl*ym thr.3+ of a wave in the string is v. What will be the speed of a wave in the string if the tension is incre3z.tyh r om+l*ased to 2T?

  In seismology, the S wave is a transverse wave. As an +v(3 xoiv h2n;q1wf njS wave travels through the Earth, the relative motion between the Sxv n(wn1ov ji;23 q+hf wave and the particles is

  In seismology, the P wave is a longitudinal wave. As a P wave trwkpq3 ;c(r,6 (v wpmnoavels through thwn3p(v c;q wom r(k,6pe Earth, the relative motion between the P wave and the particles is

  The intensity of a wavi+ 14(rr4dcfmsz,cvq e is

  A wave pulse traveling to the right along a thin cord reaches a discontinuity w:ey zob6dc6b4tjb4 h *2fce9ghere the rope becomes thicker and heavier. What is the orientati hc:bojg649ez*fc 46 2tbedbyon of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass eh1p wfor/fe19 tg5b0v 1b+tuyach other on a string, one is traveling toward the right and the other tow0t+fb15h1tbfu9oye/v1wp r gard 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 the righ;12w,i u9kmi5iv ppd/ r ixq/ 0azfoo4t 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 iz2/5iarukx9;o,1 pdi0i /vwom qf p4region of space at the same time

  Resonance in a system, such as a string fixed at y)u78nah 03rmww ywtno i-2z+both ends, occurs when

  If one doubles the tension in a violin4 *5miejk /r.hs2gfew string, the fundamental frequency of that string will increase bif. esw4j e*2h5k/mr gy a factor of

  What is the spring constant of a spring tm s+v. vm*mv5dg3ips7uew;qhfo p)+2 hat stretches 2.00 cm when a mass of 0.600 kg is suspe+g* mv+pm.eq);so i wv32hmupfs75 dvnded from it?

  A mass is attached to a spri5 bys: hs).o-gxynp(o ng of spring constant 60 N/m along a horizontal, frict).-b5nsxo ghy:(pysoionless 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 amplitude?

  A mass is attached to a spring of spring constant 60 N/m along a horizontal, 0h in guze6g+thp( x(/ppg -b/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 equili+nu0/p(/itexhzhpg(b g6-g p brium 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 ) zjm./;q 1kbm/omwaqa 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 oscwq mmo/bj;/1a .kqmz )illating. What is the frequency of oscillation?

  A mass on a spring undergoes SHM. Idwin-m0b0jwdo :.vy4 t goes through 10 complete oscillations in 5. i .mdj0n-vdb:y ow0w40 s. What is the period?

  A mass vibrates back and forth from the free wk6ewob7oaaz yw3qd0 *85 *1nqptq:pend of an ideal spring of spring constant 20 N/m wndwb6wop*t 81op7q zwaq:ay* 5 ekq03 ith an 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 sc7vh*k(xsao :q v1gqm,( ,monehw)l3 pring of spring constant 20 N/m along a horizontal, frictio:1o * h3(wm)mecvkxlonv,,sa qq (h7gnless 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 of the system?

  A mass undergoes SHM with amplitude of 4 cm. The energy is 8.0 J at th;+gn *6o ,mqzasvpy. a*bqfq( t 4yf3zis time. The mass is cut in half, and t pfb6y.oqzyqn ,3q*g+m v;aatsf (*z 4he system is again set in motion with 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 al 2 wjb4z7nzjnz3 /wl)xong a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has an27/n z4w zx)bj3lw zj 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 ofpkhc x3y 60hi5ks)ek4 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 wha64 py0ik5che3xs k)kh t location are the kinetic energy and the potential energy the same?

  A 2.0-kg mass is attached to the end of a horizontal springa9jbw;g 8 pcj3nfc98m of spring constant 50 N/m and set into simple harmonic motion with an amplitude wba3;8j9cpm98 f ngcj of 0.10 m. What is the total mechanical energy of this system?

  A 2.0-kg mass is attached to the end ofcwl:wc -ub; v;s; j*ed 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 mechanical energy of this s-w:e cu;s;v *;lcbw djystem?

  A mass vibrates back and forth from the free end of an ideal 9lgr:rj )scyy8*4x l)lv-vq ospring of spring constant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kinetic energy of this vjrgy9qlc v* r4:sy voxll)-8) ibrating mass?

  The mass of a mass-and-s 2d3fdygwbb fv52g1 k9pring system is displaced 10 cm from its equilibrium position and released. A frequency of 4.0 Hz is observed. What frequency would be observed if the mass had been displaced only1 9k 2y3vdwgg2fbbdf5 5.0 cm and then released?

  A 4.0-kg object is attached to a spring of spring constant 10 N/m.k;h+d7 zb1 avseli5 3x The object is di;d vh53xi+szl7 bk ea1splaced by
5.1 cm from the equilibrium position and let go. What is the period of vibration?

  A 4.0-kg object is attached )p tha4t l.n;)9lrou bto a spring of spring constant 10 N/m. The object is dis; 4n9tt)lau.)hplrob placed 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 :o 4iz,qcz y/ta spring of spring constant 18 N/m, displaced slightly from its equilibrium position, and releczi/zqo :,y 4tased. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates aty-ky mr32/ clh a frequency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What is the maximum velocityyk hrm/-c l23y attained by the mass?

  Two masses, A and B, are attached to different springs. Mass A vibrates wih aq12pf eyf6gqj:u+gf6rf*( )m /o wuth amplitude of 8.0 cm at a frequency of 10 Hz and mass B vibrate 2*g1f(yoju ff:gf)+aq 6 mur6/hpeqws 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 equ8oko6en r+8/ r rtt5cgilibrium 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. Calculate the period of oscitretco86kr +n5r/ g8o llation.

  A 0.30-kg mass is susy(gjah6s6 7,qvwc k9 c: qycxw,pfwzk x*q14 -pended on a spring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distakaqw4x 6cf(ysc7zw:,wp*qh x, y6 qgv9 1-kcj nce 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 thec; vgb8o;lkra3:0-3xq 6mc cxe .30jpw hx ufq sprin a-c:omphg;.kb3x xw0uf3 j8lrc0 qe 6 3xvcq;g 2.0 cm downward. 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 followi6r *j;y q.hey2og: bhmng position versus time equation:*y;j6he2ho m yqg.:rb
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys o;1o7bj vns/ckh.5 zpthe following position versus time equatiok.n/vh bcp;oj7 1o z5sn:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motio4,jubr zv uum .o0/bc4n obeys the following position versus time equation ozb.4 u4bvj0cur/ ,mu:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end0.pcb;hwo 6(z ) 1+xiqiamsh3 *lsjwc of a spring executes simple harmonic motion acco0zbsspl)ch+ax 63wm *(iohcj ; iw.q1rding 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 with a force constant of 20.0 N/m oscill t8u+ n4xxs dm kmh.z9az2 3tg;c)mww3ates on a horizontal, frictionless track. At t= 0, the mass is released from rest at x= 10.0 cm. (That is, the spring iz ;x .t2 3mcxdzwg4nhtask839mu w)+ ms 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 b)gpd- q9eec ek8t 0ax4rcu:- 8.0 s. (a) What are its frequency and period o b)a-t-dr ecpxqk u89e:e0c 4gn Earth?

  A 3.00-kg pendulum i cgykr )i/s m-69*eodis 28.84 m long. What is its period on Earth?

  A pendulum has a period of 2.0 s on Earth. What is its lengthwo,7u8h 9 qvmh?

  The pendulum of a grandfather clock is 1.0 m long. Wr5v9 ,dis o)q:/,frzc se o: y8gx )o:vj8aqnxhat is its period on the Earth9onery:v)qq g::aoj,doi cxr 8fsz,/)s x v8 5?

  The pendulum of a grandfather clock is 1.0 m long. What is its j 3 unracmbde;-56y4q period on the Moon where the accelnry ;-345u 6mbdc ejaqeration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consiaf(l v /pe:2ff mze7b0sts of a 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 frequency of 2.0 Hz. What frequency would have resulted if a 0.50-kg mass (same diameter sphere) had been attached to t2alzp(fe0 vf:e 7fmb/he string instead?

A simple pendulum consisting of a 20-g mass has initial 8 6v6op9 ij ohgx)p.2isq as4pangular displacement of 8.0e. It oscillates with a period oapsx.86 pivhso9)opq 46 2jigf 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 ti)fl/g6,cb 8urg v5fv4kjl,ieme. The frequency of the wave is 120 Hz. What is the amb6i lf4 5l/,fk8ju v,ggv)e crplitude?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency5: hb2hg guzj.dfu qy; evq+79 of the wave is 120 Hz. What is thh.9qbuq :5zu gjd+f2hv;e g7ye wavelength?

  Figure 11-2 is a "snapshoogrkm(vz,o8i33 fj rnoaj-j3c+e 8 :ot" of a wave at a given time. The frequency of the wave is 120 Hz. What 3k c +g(je fv 3oo,:mirj8j8onr3o az-is the wave speed?

  What is the frequency of a wave w5e j (5ospb,7zg7ymx qhich has a period of 6.00 ms?

  What is the period of a wave with a frequ1k-fcjz+pf5 n ency of 1500 Hz?

  What is the wave speed if a wave has a frea -5q bmlu+ie-quency of 12 Hz and a wavelength of 3.0 5+liuebma- q-m?

  What is the velocity of a wave that ha lu2rjsd (x38cs a wavelength of 3.0 m and a frequency of 12 ju2 sd(8r3lxc Hz?

  What is the frequency of a 2.5 m q lfj lbp/h1q6; v7u.qwave traveling at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is under a tension of i;*;tgftf:3vjd q g;q 1350 N. What is the wavefq* ggvf:tti;d ;q3;j speed?

  A string of linear density 6.0 g/x0nt6gm lwr */6 (h uss+eg6asm is under a tension of 180 N. What is the velocity of propagation of transverse w0/waxse ghtgsu6 n6 (*l rm6+saves along the string?

A wave whose wavelength is 0.500 m is traveling down a 500 m long-71fo:csmfdw- jxv/e wire whose total mfsce:mwv-7x o d1f -j/ass 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 fixeyrf2 . m 27kkzd,o4/zrrt*lbad at both ends is 200 m/s. Which one of the following is not a resonant frequency of this strina4mk* ryr r z,27fld/t2kb zo.g?

  If a guitar string has a fundamental frequency of 500 Hz, which onocw8.bc 0t-zse of the following frequencies can set tw.zc08tbco-s he string into resonant vibration?

  A stretched string is observed to have four equal6mk ngl2f -fb( bq8:yv segments in a standing wave driven at a frequenv -6 bffqgy8l:2 (mbnkcy of 480 Hz. What driving frequency will set up a standing wave with five equal segments?

  A string, fixed at both ends, vibrates at a f jg4z, m20mpwg cwx,)wrequency of 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency is needed if th2 4pz ww0mc ,mxw,g)jge standing wave pattern is to contain 4 loops?

  A string of linear density 1.5 g/m is under a tension of 20 N. What shoqti rmj 5 suv(q7to,96uld its length be if ir95jut,6to (iqmq7 svts fundamental resonance frequency is 220 Hz?

  Find the first three harmonics of a string of linear massz1bq.e aehn f4x6 9:ju density 2.00 g/m and length 0.600 m when it is s4h afe:9 x.6bzujne1q ubjected to tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. When the string vibrates at a f-me;m/mhlwa0f2 j5a erequency of 85 Hz, a standing wave with five loops is foreae-l;2mfmmha w/05j med.
(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.