The time for one cycle of a periodicgybj 7kv/b4jfyf3 0n1 process is called the

  For a periodic process, the number of cyclm yawk2 82ucec1zgi 8le4 jo44es per unit time is called the

  For vibrational motion, the maximum displacement from the equilibriuz j*jju19v /zmm point is called thm*z 1jj j/uz9ve

  A mass on a spring undergoes SHM. When the mass is at its maximum displacement fo1uu y+x f5o0from e xofuyuf10o 5+quilibrium, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass passesda.)z0s) i 8b 3ioqycq through the equilibrium position, its inst oc )sqa z03qi8y.i)dbantaneous velocity

  A mass on a spring undergoes SHM. When the mass is at maximum a;9/o7a: rdbim niyi,en/qv1 displacement from equilibrium, its instantanem b /ie o,via:qra1 9yinnd/;7ous acceleration

  A mass is attached to a vertical spring l )edy1a.1dljt k9teo4 t(r1gand bobs up and down between points A and B. Wheet1k .o 9dt)1j(a1gl e tdlry4re is the mass located when its kinetic energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down between pointhq.ok ,mr6y(i s A and B. Where is the mass located when its ohk.y6,i m (rqkinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up and f:pqk -38zhbb down between points A and B. Wheb8-f b:qk3hz pre is the mass located when its potential energy is a minimum?

  A mass is attached to a vertical2nrtuuxx ;0 :y spring and bobs up and down between points A anxryx; 2: n0tuud B. Where is the mass located when its potential energy is a maximum?

  Doubling only the amivvst 50nsry4n-m- rv) 7c2rbplitude of a vibrating mass-and-spring system produces what effect on the system's mechanical energy5 -mrr bts20 yc)-4nisrv7vnv?

  Doubling only the mass of a vibrating mass-and-spring system produces what ;s+,i uuz hp4q/hr 1wn+2anl veffect on u hh/ ;qsv1au z+w+,l24nprin the system's mechanical energy?

  Doubling only the spring constant of a vibrating mass-and-spring system producep r f/a/2 .j/jazon/k) rml6hvs what effect on the system's mechan r//v2/koja z)afrn. /hjm6l pical energy?

  A mass oscillates on the end of a spring, both on Earth es7 scw:*) tjeu 6prv4and on the Moon. Where is the periot* rses4w 7ec6puj) :vd the greatest?

  Increasing the spring conurp9rk9rg n*ug-s 5(gub+pw1b1 f7lestant k of a mass-and-spring system causes what kind of change in the resonant frequency of the system?g1r+ *5grue9lgu1n7b-( fr uw9kpspb (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring syste kpy0awhtb;e * vcw20.m causes what kind of change in the resonant frequency of the system? (Assume no change in the system's spring constant k.c.ak0;t pwvhwy0 e*b 2)

  Increasing the amplituderhgm* h5pq e; sn+og-kew .-qa 1hsb50 of a mass-and-spring system causes what kind of change in the resonant freque; p01h-rgohks-*mwng+a5.5 eh sbqq ency 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 weight6t3z i4gvaymp1fp:kqy) gu, . less string of length L. For this system , 6fmtg y1ugvp4:qz)i.pak3y, when undergoing small oscillations

  When the mass of a simple pendulum is tripled, the timexyx8 -kycex .x0c) g0s required for one complete viy.kgs ex xxyc)0c08-xbration

  Both pendulum A and B are 3.0 m long. The period of A is T. P4y) cwp lk0nm a;v/yc4endulum A is twice as heavy as pendulum B. ncykyac )v mw;p4l/40What is the period of B?

  When the length of a simple pe ,a w -f77wqqxc,5uzrandulum is tripled, the time for one complete vibration increases by a fact ru,f77zqaxw-, a c5wqor of

  What happens to a simple pendulum06wg dck y4/)rvx kj:v's frequency if both its length and mass are in)/kdrvwj y0gx c4v :k6creased?

  Simple pendulum A swings back and f-epy ) y8g;apgjo3g-y5bkt 1 horth at twice the frequency of simple pendulum B. Which statement is gbypyj);-h 8-go5apy gte31kcorrect?

  If you take a given pendulum to the Moon, whe8q d;,urxo,yjk bx;lq 6,5ookre the acceleration of gravity is lesqk o o,8x; ,kudxj5,;l6 rybqos than on Earth, the resonant frequency of the pendulum will

  Curve A in Fig. 11-1 represerq0g/+c mkca 7nts

  Curve B in Fig. 11-1 represent vhwqjkksb v9y3/sw-9ez0/4bs

  Curve C in Fig. 11-1 rs(*/ec1bdbdc ) myba 4epresents

  For a forced vibratiovfog2l u1go 094)tmyd ls.+r jn, the amplitude of vibration is found to depend on the

  In a wave, the maximum displacement of points of the w*i bt2wmch10oo 1vu-gave from equilibrium is called the gti1cbo1-2hm o0vu*w wave's

  The distance between successive crestjpy4 4mv g dib0j4 -2w4e-qxd:b trs8ts on a wave is called the wave's

  The number of crests 7 w3ub,(r h3 eh0 )uepxnzi*ufof a wave passing a point per unit time is called the wave'* 0(e)3h,biwh7efxpuurn u z3s

  For a wave, the frequency times the wavelength is the wave pco/n32yhhblh6pw r69 /lo: j's

  The frequency of a wave increyjq+;+ac-uyl +av yk/ases. What happens to the distance between successive cy-k+qcv yl+a a/+ uj;yrests if the speed remains constant?

  A wave moves on a string with wavelength l and frequency f. A secou.wt3w( i yrdwes 2p*v8,l.ly nd wave on the same string has wavelength 2l and travels with the same velt .lw(upiyr ey,s8wwd2 v3 .*locity. What is the frequency of the second wave?

  Consider a traveling wave on a stkz:l5ppo20s: u4blx oring of length L, mass M, and tension T. A standing wau5l :o2kb0 pzso :p4xlve 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 j92 .wvnxyf1u xyei/)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 2mi)9uyjx2. wxe 1fnyv /, with no change in length?

  A string of mass m and length L is under tension T/ 4 96shn(d kxu0fljev. The speed of a wave in the string is v. What will be the speed of a wave in the s/hksne vf6 lxj( ud409tring if the length is increased to 2L, with no change in mass?

  A string of mass m and length ;onds(3f mx 9vw8uybejuwc9 .d0gj .)L is 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 tension 3eu.d uc)gmy. 9b8xdj ;j0( fnw vo9swis increased to 2T?

  In seismology, the S wave is a transverse wave. As an S wave trav(guy xn1/v .agels through the Earth, the relative motion between the S wava ngg ./(vuyx1e and the particles is

  In seismology, the P wave is a longitudi t uo,dbp4r*o,nal wave. As a P wave travels through the Earth, the relative motion between the P wave4 tpr,, bdoou* and the particles is

  The intensity of a wave isr3*y8 3 ejattz7ok2 sg/1 tthj

  A wave pulse traveling to the rzkvaxo hlse (2+;sj: dc0 0x5uight along a thin cord reaches a discontinuity where the rope becomes thicker and ec0xk5 ah lz:(02j;+os vusdxheavier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive ampww5u5jm a ps6uu131 jmlitudes pass each other on a string, one is tr5ajw m1msjuu13w 6up5 aveling toward the right 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 eachv+ogl+ftm:( vg7 fl p7da3zb uyx8r a-ad;,s8 other on a string. The one traveling toward the right has a positive amplitude, ,lspad7r3f bomlv+8yg:ga(7 8 f-ad t z ;uv+xwhile 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 the same time

  Resonance in a system, such as a da78a iiney 0whp4b.- string fixed at both ends, occurs when

  If one doubles the tension in a violin string, the fuoqt3k-s5p53ocaga 0yv p q9 9lndamental frequency of that sgla-p5 9c3vqs3oo9ytp0a kq5 tring will increase by a factor of

  What is the spring constant of a spring that stretches 2.00 cm when a mass of x u+ 062nz:jat4kf llfbs r ,sl4eb49j0.6za:f0j 26b,ulsf+4jtb k4 4sl xlrne900 kg is suspended from it?

  A mass is attached to a sp9yyw7n+da ys2)6 bzx1a qw6(rzkdg* 47dksacring 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 itsb1d7aw(n7 cy dyr s6k2 qas4zz *a yk+d6wgx)9 equilibrium position when it is oscillating. What is the amplitude?

  A mass is attached to a spriui/89 :kckjypi/ *ibs,t nm.,pu ds r(ng of spring constant 60 N/m along a horizontal, frictionles*y(jik ./,sp8i/r du:ctn,psmk u9bi s 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 period of oscillation?

  A mass is attached to a spring of spring constant 60 N/m along(re 3r+ocyy bvt+w5t5 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 posi35bywt5c(++e yr ovr ttion when it is oscillating. What is the frequency of oscillation?

  A mass on a spring undergoes SHM. It goes through 10 complb3eyb9nnpx:azw)7q5/ o non6jqp 1b 9ete oscillations in 5.0 s. What is5n3 x yne qz96/b):nno7pb wopb aj19q the period?

  A mass vibrates back and forth from the free end of an ideal spring of sps(+xx 9cyuo5lring 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 fromx(sc+u5o l9 xy its equilibrium position?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/ 1re9g zt)oqt9h)t sl 8j5:jtam along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s at the equilibrium posie rltt ot9h )ztjq 1)g8s9:5ajtion. What is the total energy of the system?

  A mass undergoes SHM with amplitude of 4 cm. The energy is 8.0 Jo8hytx./z;hkn( oa)s at this time. The mass is cut in half, and the system is again set in motion wixhnyk .zt 8 h(ao)/s;oth amplitude 4.0 cm. What is the energy of the system now?

  A 0.50-kg mass is atti5lqz6-z :mkvached 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 :6 kzvilm-5 qzof 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 20g0 mmrf8m20 fs N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a spem rsmg0mf280f ed 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 attached to the end of a horizontal sprin,w93mk9f br b+a 5bktt2bx)bn g of spring constant 50 N/m a2xfkn,r)5k +ba93bbtbt b w 9mnd set into simple harmonic motion with an amplitude of 0.10 m. What is the total mechanical energy of this system?

  A 2.0-kg mass is attached to the 2r-b2ypvzd jgr7miqgs/8a,9f :ic; qend of a horizontal spring of spring constant 50 N/m and set into simple harmonic motion with f:8/7dmp- g2zagy b2 ;rc rjq9qvsi,ian amplitude of 0.10 m. What is the total mechanical energy of this system?

  A mass vibrates back and fortho:bq)jcj 2k*i from the free end of an ideal spring of spring constant 20.qic*jbk:j2 ) o0 N/m with an amplitude of 0.250 m. What is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring system is displaced 10 ),9 uv0gg.x 4unpj sipcm from its equilibrium position and releasu,p04g. j9x)gpn uvsied. 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 attaau)yr.ar6 6e+xs-f vs ched to a spring of spring constant 10 N/m. The object is displac6xs afrev6yur.+)- sa ed 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 springqh1fx6. i-oea constant 10 N/m. The object is displaced .xf6iq -ao1h eby
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 sprinxo5i*v dzwazje+j-ogo;k ./(b 1uc -sg of spring constant 18 N/m, displaced slightly from its equilibrium position, and rewk bjovj+o.-sz*id(1cexuaz -/og; 5 leased. What is the frequency of its vibration?

  A mass is attached to a sprgz6:y v ,yzur ) bc0yuk v/+o7fb(4axaing. It oscillates at a frequency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What is (7,oayx:6b rzuv yafb 0+4u/ )cygkv zthe maximum velocity attained by the mass?

  Two masses, A and B, are atto9 +ybmo)hacn o n5 (x1c,xqo;ached to different 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 spee oc9y+,axxmnbon o ;cqh15 (o)d of B?

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass streut1/o*zz8 n3not9l rstches the spu8r/ ol nt* son1z3tz9ring 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 equilibrium the mass stretches te0e 22rsk1bmzhe spring 2.0 cm downwb20 zers1ke2m ard. The mass is 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 sugo**4j 30(cwuq b)gxvh u)ripring. In equilibrium the mass stretches the sprinhiojcuv(ur b0)u*4 3gq*w xg)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 following pomprowaf02 (v1(g5o c 5)herns sition versus time equatio (ecsgv)1 pr5 5awmn0fo 2ro(hn:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion b76 e(ur 4cx2cvf k2apobeys the following position versus time equation2rucv b6 (ke 7c4pxf2a:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion ob;r3abos a q(3xeys the following position versus time equa(3;x aq3r obsation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple harmonic motioqnnmm xqln 49ogo .as9a.4.r+n according to the equa 4r.gxnoman lqom9.s49.+nq ation $y = 0.50 \; \sin (18\pi \times t)$ 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 20.00g. x4crlnf+ y N/m oscillates on a horizontal, frictionless track..4rfl+ yc x0ng At t= 0, the mass is released from 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 fje79a;em.i htoe3i4-(- xnk5yxgz qnrequency and period on 95 -qn mae4 k(nz3xho7i-g.eyexi;tjEarth?

  A 3.00-kg pendulum is 28.84 m long. What is :)v(es4h . tr+jz ch9ap a(lct +df/miits period on Earth?

  A pendulum has a period of 2.0 s on Earth. 66vx ntp3w4rk7t:+bes ka1zu What is its length?

  The pendulum of a grand oy;1ywn:d+ avqum 4t;father clock is 1.0 m long. What is its period on the Eart+ v :ynqw4 y;tud1mo;ah?

  The pendulum of a grandfather cb43de6 c7 fhbplock is 1.0 m long. What is its period on the Moon where the acceleration due to gravity is onlyb fp hcb3de746 $1.7 \; m/s^2$?

  A simple pendulum consists kxtczn 2)6x e+s7h (ipof 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 resultedx+62 npzck he7s)t( xi if a 0.50-kg mass (same diameter sphere) had been attached to the string instead?

A simple pendulum consisting of a 20-g mase, g8ckf0*a uvs has initial angular displacement of 8.0e. It oscillatef0g, e 8vacuk*s 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 frequenz4amc) ajv*flwe kl / :ef1:xnr0-z(vcy of the wave is 120 Hz. What is n*-rvef:ljak m za)ve1w/4cx zf:(l0the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency of the z ygp)*g/n3 oowave is 120 Hz. What is the wn3z*g/ ygp)ooavelength?

  Figure 11-2 is a "snkm 3k.g- 2evqnapshot" of a wave at a given time. The frequency of the wave q2-g3m. kvkneis 120 Hz. What is the wave speed?

  What is the frequency of a wave which :bt(9nrs 0 sdao.j,ebhas a period of 6.00 ms?

  What is the period of a wave with a frequency j k/q 5yo0cuo7cyq/s6 of 1500 Hz?

  What is the wave speed if a wa8dug; h3) ;jmmmt8m;e od) qozve has a frequency of 12 Hz and a wavelength of 3.0 doo38) )mmqtdm h; ej8zu;;mgm?

  What is the velocity of a wave that has a wavelength of 3.0 m anwi .gtmv93s1 nd a frequency of 12 Hz 39sg nw1vm.ti?

  What is the frequency of a 2.5 m wave traveling q454y:xjt m7 v.fkw4zzb0ji uat 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is under a tension of 1350 N. 1mgzu / snd9j4 What is the wavd1/jg9zu s 4nme speed?

  A string of linear density 6.0 g/m is under a tension of 180 N. What is j ktc*xt53*wpllh :9othe velotljt*9ocklh5x3pw: * city of propagation of transverse waves along the string?

A wave whose wavelength is 0.500 m is traveling down a 500 m l2)9bn s 53nlqldy puv,ong wire whose total mass i)s l5n9nplq dv,u2by 3s
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 tdrg94ygp.v1 k ew/kp,ransverse wave on a 2.0-m long string fixed at both ends is 2/kw.e9g,g1vd kyp r4p 00 m/s. Which one of the following is not a resonant frequency of this string?

  If a guitar string has a fundamental frequency of 500 Hz, which onctf/n x49qnbf+0n85j0 u7w g er6jvq le of the following frequencies can set the string in 5 fl07+8ugbtj/6 crxw vn4enn9qj0fqto resonant vibration?

  A stretched string is observed to have7ca* gg s*cf.p7oilf; four equal segments in a standing wave driven at a frequency of 480 Hz. What driving frequency will set up a standing wave withic 7og*a7c.p*; slff g five equal segments?

  A string, fixed at both ends, vibrates at a freque p)+9szvb g9cfncy of 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency is needed if the standing wave pattern is to contain 4 c) gzfp+vb99sloops?

  A string of linear density6bvh u vn;5ym e:p alzn82)7jq3fevr5 1.5 g/m is under a tension of 20 N. What should its length be if its fundamental resonance frequnem7jr v qv6fnh2p3)aez5:ub ;l85 vy ency is 220 Hz?

  Find the first three harmonics of a string of z *aeu.k;r, k6;reouq linear mass density 2.00 g/m and length 0.600arrke,. uk;u ze;6q*o m when it is subjected to tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. When thkd3 ;vh; z) nyn1:wsume string vibrates at a frequenc3n 1 :ymznwk ;dvsu)h;y 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.