The time for one cycle of mrvvkoka: 58+a periodic process is called the

  For a periodic process, the number of cycles per unit time ioao+*ju xvl+) a4yk 7xrrs6a; a ,mk5gs called the

  For vibrational motion,e, al;d aiwmj vi0)e lfz8+if*: /ln;p the maximum displacement from the equilibrium point is called the +n fm:idiej a8alvip* ;ll0;e)f,/ zw

  A mass on a spring undergoesy 7*k*w5vb+m 1qjks9 duyeptu nu).;t SHM. When the mass is at its maximum displacement from equilibn.ukt1jv w 9qy*;+ *tye7)pub s5 mkudrium, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass passes through the equilibrium t(n4j:j ofaoz o*64 lx-nyh6kposition, its instant-xjlh jtno4* 6ykfa(6:4oo nzaneous velocity

  A mass on a spring u:b(b oug7(wy2t1iysd ndergoes SHM. When the mass is at maximum displacement from equilibrium, its instantaneous acceleosy t(w7y1:i b(bgu2dration

  A mass is attached to a ver 8 puml1g o.-f;nbc4grw7xkms fjr,6 3tical spring and bobs up and down between points A and B. Where is the mass located when its kinetic engm nf-3r;b4k j.xcm,s1r7 luw ofg6p 8ergy is a minimum?

  A mass is attached to a vertical spring and bobs up and down betwezz+iaap ,(hq (.atez76q 6o llen points A and B. Where is the mass located when its kinetic energy is a mapa +qz lh6oq6lta,.(z ai( 7zeximum?

  A mass is attached to a vertical spring and bobs u:nd+1er3s re3ogud jy(/yj )pp*) x qnp and down between points A and B. Where is the mass located o)un )seyrqpdj*d/n13rjy g(: 3pxe+ when its potential energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down v ehjrsk ;q872gwjx1:yp e24e4mx9glbetween points A and B. W;m 8rkq42xv wege :7942lhs epjxygj1here is the mass located when its potential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-6k+m*vzajy( ute xi,o+gdz;7spring system produces what effect on the system's mecha 7 6+o v+(kduyxjzmzg*aie;,tnical energy?

  Doubling only the mass of a vibrating mass-and-spring system produc7dvo2 xmn0b-res what effect on the system's mech ndo7rv-x02mb anical energy?

  Doubling only the spring consti (dnat+l :j-hant of a vibrating mass-and-spring system produces what effect on the system'siht(d-: +lanj mechanical energy?

  A mass oscillates on the end of a spri/ sy+ ,n 1apo)smoqrwxni;s 1/ng, both on Earth and on the Moon. Where is pnrw sx+1/io1naso,q s m/) y;the period the greatest?

  Increasing the spring constant k of a mass-and-spring +7i4kcbwqv -isystem causes what kind of change in the resonant frequency of the system? (Assqvw c+ iib7k-4ume no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring 2qy 1 2hlk,cgwsystem causes what kind of change in theghyq1 k l22cw, resonant frequency of the system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a slr5efh ;u0;lkndiz;w13s1; f c o )dgmass-and-spring system causes what kind of change in the resonant frequency of the system? z ;il5g);sdkcd3o lnrfshf;;u1w0 1 e(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) h0sehy -o)7 ;poysad2) y*1u shzjem weightless string of length L. For this systushz*)1m es2- jhey;pydy7)0a )hos oem, when undergoing small oscillations

  When the mass of a simple pendulum is tripled, the time require gd9 atvy t;l42js6*/ufv6tx bd for one complete vibratt*;s9/l66jf vd gv 2ta x4ybution

  Both pendulum A and B are 3.0 m long. The period of Al( jtut h1c;6 f+uaodda*(*ny is T. Pendulum A is twice as hea d ylfo+6hu t1*(uj*tc an;ad(vy as pendulum B. What is the period of B?

  When the length of a simple pendulum is tripled, the tim 8,s +dv .flhfyns6xx69tz vt4e for one complete vibration increases by a factor sf6h 6vy94d xt+tznv.8,xfslof

  What happens to a simple pendulum'7v10vx,qvv /a ,gc gras frequency if both its length and mass are incag 0rvqg 1v7 c/a,vv,xreased?

  Simple pendulum A swings back and forxt 3iw p9 )6sjmadnza6d2 44+-yabslpth at twice the frequency of simple pendulum B. Which si4+ y-b)n 6p 96s3wzjldt2px saamad4tatement is correct?

  If you take a given pendulum to fwi+e.:a q4lwthe Moon, where the acceleration of gravity is less than on Earth, the resonant frequency of4.iwwle q+: af the pendulum will

  Curve A in Fig. 11-1 represents 4zq4 anoq4v,g6a.fc l

  Curve B in Fig. 11-1 r)-/c1mt s,x qcbip;tscu q f:(epresents

  Curve C in Fig. 11-18/-o9ri.xjqzc zhx8p p im0 f2dx ng86 represents

  For a forced vibration, the amplituj:nqhwvv5jed 5y .cn;,9y ,lgde of vibration is found to depend on the

  In a wave, the maximum displacement of points of the wave from equilibrium iel2ahf0/ynh*/ d/s qc s called the wac fq0yd/ hns/hl*ae/2ve's

  The distance between successive crests on a wave is called th.w/pr)i2 l0n :mz akkgqy6j/o e wave's

  The number of crests of a wave passing a point per unit time is caller pisv 2bt 7zx34vh(u5d the wave's2i5z7v( u xsrv4t3bph

  For a wave, the frequ e7qw8u y8 gfs8(mzy.nency times the wavelength is the wave's

  The frequency of a wave increases. What happens t/mnahe+:oa*cr( po4 0ss;)/j yi ifano the distance between successive cresrasnimj/) ae*no;(0a4o+/ sf i hc p:yts if the speed remains constant?

  A wave moves on a string with wavelength l and frequency f. A secongmt :3jqf op97s*ss v,d wave on the same string has wavelength 2l and travels with s 7s g* t,mv:o3qfs9jpthe same velocity. What is the frequency of the second wave?

  Consider a traveling wave on a string of len:d2 qvo0t r7:gha5fk hgth L, mass M, and tension T. A standing wave isfha 5:7 :h0rkg 2tdovq set up. Which of the following is true?

  A string of mass m and length L is under tension T. Th*9+v fdxweqi)q/h :pj e speed of a wave in the string is v. What will be the speedj*)d/ qh+:eqviw f xp9 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 underwc9d j y7lq*x4 tension T. The speed of a wave in the string is v. Whd*jy 97xc4lw qat will be 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 tensionmizdw: 8ukeh n2k16n+f y04qh 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 is increased to 2k2k6yqn:+e 810nh hd4wzu mfiT?

  In seismology, the S wave is a t b.k c5nk5vatxnwe/va +*.q. rransverse wave. As an S wave travels through the Earthwn* qe5.k5+x../bvct vnkar a, the relative motion between the S wave and the particles is

  In seismology, the P wave is a longitudinal gpf9:f y.,9hc0 ei l yerr;)vlwave. As a P wave travels through the Earth, the relative motion between the P wpre :hcyfel yrv,.0i;9l 9)gfave and the particles is

  The intensity of a w( unz(8u 7vjvo:(9cote g e;oyave is

  A wave pulse travelig1 kt/jdss ;t2 sx2sv:nl3;kmi e99 vh-hoph)ng to the right along a thin cord reaches a discontinuity where the rope becomes thicker and heavier. What is the orientation of the reflectedvspsxo;dhlh):i /kt2j g392;v es-s1m 9hnt k and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each other on a 8qp2jiq1xv. wb zo 5tx 5t3d3,ghl,rrstring, one is traveling toward the right and the othxpqgohz .x ,r85lr13t5d w2 tq,vj3iber 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 towaxv6 zxx+ oh/0xrd the right has a positive amplitude, while the one traveling toward the left has an equal amplitude in tovx+xzxx6 0/ hhe negative direction. At the point that they occupy the same region of space at the same time

  Resonance in a system, such as a s /n wdkj:o(g6wtring fixed at both ends, occurs when

  If one doubles the tension in a violin string, the fundamental frequency okkf(i7(;usfe67 q, e+zmdl pu f that stri; kqd+z(m7s u( up6f7ie flke,ng will increase by a factor of

  What is the spring constant of a spring that stretches 2.0rs +y05u ohn:77pnql8v+ba rh0 cm when a mass of 0.600 kg is suspended +hrv8+ 57yr0asn b:hl7n upqo from it?

  A mass is attached to a spring oflw08z rose7y/ 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. What is the amplitude?y/rs z07w eo8l

  A mass is attached to a spring of spring constant 60 Ny ;(gv qez-t6o/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 e-yez ; t(gq6ovquilibrium position when it is oscillating. What is the period of oscillation?

  A mass is attached to a spring ofwgw w1im0/(iwvb5,k h 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. hvm /bw(w1ik 0 ,5wwigIt 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 . :y vhk b7vkbwjgl2r(l2wu0xveq*); SHM. It goes through 10 complete oscillations in 5.0 s. Whag0w;2kr(:bkl2b .hu)*jqvv wy vl 7ext is the period?

  A mass vibrates back and forth from the free end of an idek sphm nq,.75ial 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.hmp5ik ,7sn q from its equilibrium position?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m along a horizonp sdt9p.6(nx5+.cgbdfiw :jxtal, frictionless surface. The object oscillates : (9+.5j bsxn itwcx.pgfd p6din 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 amply(f -,ybcz-wn itude of 4 cm. The energy is 8.0 J at this time. The mass is cut in half, and the system is again set in motion with ampli-w cf,zyn(b-ytude 4.0 cm. What is the energy of the system now?

  A 0.50-kg mass is attached tu6)q12: 7teaiuxuu 6d8dbq az3jsfi ,o a spring of spring constant 20 N/m along a horizontal, frictionless surface. Tqz7db,utj3au1if 8) :d6e xu aus62qihe object oscillates 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 0nl,aui2:qx) o:g 4krgrfy)wspring of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has)r k) lriuno fay2,:qwx:g40g 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 attached to the end of a hoccad0rm29,jof y d-f7 ,irnju )t6 8uprizontal spring of spring constant 50 N/m and set i-d dfa,c2yr0,9toj8 7fr )6ncjuupim nto 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 end of a horizontal s:d bw1uh6p5p 7l9hwigpring of spring constant 50 N/m and u1w :phphil6d gwb597set into simple harmonic motion with an amplitude of 0.10 m. What is the total mechanical energy of this system?

  A mass vibrates back /lxi,/ulbyg . and forth from the free end of an ideal spring of spring constant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kinetic energy of this lbli,ux./y g/vibrating mass?

  The mass of a mass-and-spring system is displace rasspn j bfx;p5q9szq/22u 4;d 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 displacqp sz/x s;25bqjup29; asnr4fed only 5.0 cm and then released?

  A 4.0-kg object is attaceia)-* x6pnfr l inzdfy 07q:)hed to a spring of spring constant 10 N/m. The object is displacei-iznl)fq xnpd*6f r70ya): 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 spric/ofd;:jq7a5+x: ;shys6kdjqrtca 9 ng constant 10 N/m. The object is dijd f:+5rsh;9dk7sy tc;jaqx c/o aq 6:splaced by
5.1 cm from the equilibrium position and let go. What is the frequency of vibration?

  A 2.0-kg mass is hung fr8+ud* pjesu 8uom a spring of spring constant 18 N/m, displaced slightly from its equilibrium position, and releas+djp 8seuu*8ued. What is the frequency of its vibration?

  A mass is attached to ai6060ey fj (l11l.am neuesl n spring. It oscillates at a frequency of 1.27 Hz when displaced a difle06el(0n m 1 ei1y.n6sljuastance of 2.0 cm from equilibrium and released. What is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to different springs. Mass A vibrates wi-;ngk neb /s:oth amplitude of 8.0 cm at a frequency of 10 Hz and maskn e /nbg-:o;ss 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 oyyexwkr70-od-z5 t5 u n a spring. 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. Calculate the period of osc ro 0u-7zyxdtk -ye5w5illation.

  A 0.30-kg mass is suspended on a spm;a52kb8vsjd .4 6eynyll ve) ring. In equilibrium the mass stretches the spring 2.0 cm downward. The .)sj b6ky5ne2vlm;4 alyvde 8mass 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 w a:m6m+ 7hgrga spring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance 67mmg:awrg h+of 1.0 cm down and released from rest. Write down its equation of motion.

  An object in simple harmonic motion obeys the following positiy+4y ci1 oxv by06sk9+v)ciupc ad0b0 on versus time equatad0c90iyp0x1 vcuv k6oci y )ys+b 4+bion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeysl86ol7 fib: 9u61lh+c gzi ct0kjylr ( the following position versus time equati8f067(1izht 9ll: illjr o + kuyccg6bon:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the follow8;s n1ep y8w 0mtzzvk/ing position versus time equation:; z e0vtns8w/ypz m8k1
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end o 32ov*8s t*v6kvcuxqlf a spring executes simple harmonic motion according to the equatio8vq v oltx3vsu 6c**2kn $y = 0.50 \; \sin (18\pi \times t)$ 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 fojje5xc9s 8/,b/z s( ,tzslmqm09 i rkorce constant of 20.0 N/m oscillates on a hq/ej80mt/ l, xks(z bs95r,mo cizjs9orizontal, frictionless track. 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,5dhdmx, c.pw rvri,1mnnz : ) in 8.0 s. (a) What are its frequency and period on Earthr.wvhcp51,,:) zmxi d,nr dmn?

  A 3.00-kg pendulum is 28.84 m long. What a0i8swzm ak;cb6bx n8d et0 znv0-6-ais its period on Earth?

  A pendulum has a period of 2.0 s on Earth. What is h -+wgz*l9u4r kht-ja- dqcw5its length?

  The pendulum of a grandfather clock is 1.0 m lonn v;bavp )wf mv zrpl,1x.)3c(g. What is its period on the Earthx)vpc(vzpvmfa;n. 13r,b l w )?

  The pendulum of a grandfather clock is 1.0 m long. Whaaag oc0 j:+*pnt is its period on the Moon where the acceleration jo+np :a0ca* gdue to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of0k(dwlga* 2mq 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 Hzqma*kwl 0 (gd2. 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 initia od:bsgan j mxuw(5*hbc;f+9 *9axj,xl angular displacement of 8.0e. It oscillates with a peru(abf5 ,ox* dg;9b w9:jjms *xan+chxiod 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 fry5v7ir6v cebdtdeu(0s(b/ eh 2ex98xequency of the wave is 120 Hz. What is the ampl9beh6uv7/d5 xee ri 2x0bt ((vecyd8s itude?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency of m :ox gc834zgq0zt hf0the wave is 120 Hz. What is the wa0ot8 z3xq04 fzcmgg :hvelength?

  Figure 11-2 is a "snapshoc* e. hj(uw w.yfs*h*st" of a wave at a given time. The frequency of the wave is 120 Hz. What .hf .sh *ey(*c wu*jswis the wave speed?

  What is the frequency of a wave wlp4+ fdtc*v s-hich has a period of 6.00 ms?

  What is the period of a wave wam6 5 zjnx5dk0u+ snim5sf6a;ith a frequency of 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz and a wavelength ofy2+1nwuto; xxe id7q5dqz*b/ 3.0 duxq1+2z7weo b* ;yd5xqin/tm?

  What is the velocity of a wac*j zy533d; 9pu+itvegsscq4g f9bc( ve that has a wavelength of 3.0 m and a frequency of 12 Hzd4c ig(c yb53sugq+pfv*;3 z 9sc9ejt?

  What is the frequency of a 2.5 jhk 4q91n qks1m wave traveling at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is under a tension ;m :fy9 asukfs(yx2o+ ogk + .rq3flcj7-a6 kjof 1350 N. auk7-c o r o6s3+fa:ql;jj9y+.2mgkff s(k xyWhat is the wave speed?

  A string of linear density 6.0 g/m is under a tensiobg4d:/df4kyvdw2pr ; htg 9b :n of 180 N. What is the velocity of propagation of transversw /btf hb2k:dg4 vr4dpd;:y9ge waves along the string?

A wave whose wavelength is 0.500 m is traveling dosowad86 d lwl5/ p(/)bg z0xtown a 500 m long wire whose total mass iozw / 5/8)ag pdb0 x(llo6sdtws
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 wavl f:l ep:l.c/pe on a 2.0-m long string fixed at both ends is 200 m/s. Which on :c:l/ lpl.pfee of the following is not a resonant frequency of this string?

  If a guitar string has a fungf j2 o4jgfdio;s6u1(damental frequency of 500 Hz, which one of the following frequencies can set to; 1gs(jj4gd2iouf f 6he string into resonant vibration?

  A stretched string is observed to have four equal segments in a standing wj0vz:q l0emc9qr 2 cm3syti-: ave driven at a frequency of 480 Hz. What driving frequency will set up a standin3:qmlvi2tz -jmy0 c0q rc:e9sg wave with five equal segments?

  A string, fixed at both ends, vibrates at a frequency of 4dbsqy8wen*x s:o7v. 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency is neednoq :4e8bs*.wysd 7 xved if the 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 shouldxxbyy9 .p6 9rq its length be if ipyyx 99q. br6xts fundamental resonance frequency is 220 Hz?

  Find the first three harmonics of a string oo2 n: :ju4ejaef linear mass density 2.00 g/m and length 0.600 m when 4jn 2aee::ojuit is subjected to tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. When the 67zwi a-6 mj/yg. solqrk*a)la 9p-yestring vibrates at a frequency of 85 Hz, a standing wave with five z-/ ra6qypk 6ja*y.) ml7gsla9 eiow-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.