The time for one cycle of a periodic -fr691bi atojprocess is called the

  For a periodic process, the /;js0utnw7gf r4nk/k number of cycles per unit time is called the

  For vibrational motion, the max9p.wf6 -w06 ak iaylqrimum displacement from the equilibrium point is called t qfak9wiwy-6l r.6p0a he

  A mass on a spring undergoes SHM. When the mass is at its maximum displuv lgyy) qu9,gk31tj9acement from equilibriuut3yy99g v)lgu1j kq ,m, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mx 4a hoa4z) z9ujoj5m3ass passes through the equilibrium position, its4)azo j5xzou3 9jhm 4a instantaneous velocity

  A mass on a spring undergoes SHM. Whenm);z1hi)v bl m07 sqfxbq 5u67a8ezjz the mass is at maximum displacement from equilibrium, its instantaneousbma e7zxl)j 6 f5 muz0ibvsqhz)78 1;q acceleration

  A mass is attached to a vertical spring and bobs up and down betwee-r,q er: v-ewm 01os7 -nquftwn points A and B. Where is the mass lr,tqef7 u --0r1emwoqw-:snv ocated when its kinetic energy is a minimum?

  A mass is attached to a vergi(c6+ 4;f 3/hl. gviklvpajvtical spring and bobs up and down between points A and B. Where is the mass located when its kinetic ene( l6licg3vvag.;v/4 j+fip khrgy is a maximum?

  A mass is attached to a verti djajeq 8;jkn+/.m wd.cal spring and bobs up and down between points A and B. Where is the mass located whe8j. dj/ eaq;km.dw jn+n its potential energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down between points Aw r/c,u(ai ,uq and B. Where is the mass located(wiur,,uqc /a when its potential energy is a maximum?

  Doubling only the amplitudel)oa0dgkmo6rfx.scx6 /83b 0oes b 9 e of a vibrating mass-and-spring system produces what effect on the system's mbkomegb0r )f0/xdc3x6e s loa 98o s.6echanical energy?

  Doubling only the mass of a vibrau*ljhk),7y8ab o 0dkm ting mass-and-spring system produces what effect on the syst j 8,dkylm b0au)hk*o7em's mechanical energy?

  Doubling only the spring constant of a vibrating mass-and-sprwpnzvluwqbard :z 1 8mg9gu4e06 8f5)o7ai 6 ming system produces what effect on the system's mechanical z650 1z68mqpgw8oraualwgv4)f7iudm:b ne9 energy?

  A mass oscillates on the end of a spring, both on Earth and on the Moon. fqxae*4c)7 exwhg;dm w y 1b6;Where is the period the )g bm xecwxaye*;fh d61 ;7qw4greatest?

  Increasing the spring constant k of a mass-and-spring system causes9pfctpz+thk3;mjopl /qc/7 1 what kind of change in the ret1 / p;p7zcf3clp/kq ojt+h9msonant frequency of the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-)1 2i-m hlth pgj9o4,ruzq:eeand-spring system causes what kind of change in the resonant frequency of the system? (Assume no change in the system's spriti1h l ,:pemh9erj 2) zu4qog-ng constant k.)

  Increasing the amplitude of a mass-and-spring system causes what khpd*fs 2a,w nxk(q t,-z:j *fbind of change in the resonant frequency of the system? (Assume no othdn(wtfzpa:*, * ,h fq-sxb2 kjer 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 v+teqt : ufbahh,j1m6j4d;7m M attached to a weightless string of length L. For this system, when underguhet1 7jh+ :mqm, f;dtb4ja6voing small oscillations

  When the mass of a simple pendulum is tripled, the time required for onhjiia+);u9x5kk pv1 2axqz/ z e complete ipx 1a)/ uax j;qz+k 2viz9k5hvibration

  Both pendulum A and B are 3.0 m long. The perioi7 1qfs (.siu qeu1u6u0qny (zd of A is T. Pendulum A is twice as he sy1iquu 0(u( niz qu.fe76s1qavy as pendulum B. What is the period of B?

  When the length of a simple pen-sijb -xru;*ly:z5h9qj-trv k +( ape dulum is tripled, the time for one complete vibration increases by a factor ov-er+9y(a:hpji5bszrtl -k* j-xu q ;f

  What happens to a simple pendulum's frequency if both its length and mass are inj/g3 pz,-(lzw(q qx:r pnu.u kcreased?(nukg r qj 3qzpu,/lzx. -:(wp

  Simple pendulum A swings back and forth at twice the frequencsm-a95 wtmz9fm4xj/-uzg wf:y of simple pendulum B94 :z mmfwu5xfj9--gw m/zs at. Which statement is correct?

  If you take a given pendult,/ g/xf3d iiu9z ;t gnlgl .7j)km9psum to the Moon, where the acceleration of gravity is less than on Earth, the reso/fi k j9s)/g.zt7d ln lup3;xtmgg9 i,nant frequency of the pendulum will

  Curve A in Fig. 11-1 represenbk,uo 24 qytxtr/ s63e8n4gxc6 z pyv6ts

  Curve B in Fig. 11-1 represents8y+s yd g2*e;scwcbak3vu n5,

  Curve C in Fig. 11-1 repwrn ;cuorj(jwkwf83/g(6 jo,resents

  For a forced vibration, the amplit pde*: f j;ksyj:oslq52(h(iaude of vibration is found to depend on the

  In a wave, the maximum displacement of points of the wave from equilibrium is cadmzdf)d zv9c4/xoqv47 9p/ mu lle9 o4fm4/pq muv79/ zd cvdxdz)d the wave's

  The distance betweengc 5*nr 6ckgfi,-s8 hz successive crests on a wave is called the wave's

  The number of crests of a wave passingva e pf6zcujpj*9 zckv951 *ti)un13s a point per unit time is called the wave'zicju3pun5 p v969 f 1c)j*se*kvz 1tas

  For a wave, the frequenc*/x,-2voo4 egzg:2 gzx j moxey times the wavelength is the wave's

  The frequency of a wave increases. What happe7f4k siw +u.bons to the distance between successive crests if the speeds4u+bi.w7 f ok remains constant?

  A wave moves on a string with wavel qr j7wrd0ci,9 y0cyn,ength l and frequency f. A second wave on the same string has wavelength 2l andcjw9rq, 07icr nyy, 0d travels with the same velocity. What is the frequency of the second wave?

  Consider a traveling wave om +*jph7ok+ z+.ltqbln a string of length L, mass M, and tension T. A standing wave is set up. Which of the following+ztkq.p lmoj*+ 7+lhb is true?

  A string of mass m and length L is under tension Tm2km+ i 5cgvb(. 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, wit(gb2m+i vk5m ch no change in length?

  A string of mass m and length L is under tension T. The speed -y wdt(li y3 0mnvc/;yof a wave in the string is v. What will be the speed of a wave in the string if the length is increased to 2L, with no change in m; dntlyywmivc -y 3(0/ass?

  A string of mass m and length L is under ugoc3 w ri,tk00h+xz*tension T. The speed of a wave in the string is v. What will be the speed oguth ,xc 0kzi30 r*o+wf a wave in the string if the tension is increased to 2T?

  In seismology, the S wave is a transverse wave. As an S wave travels -i0z+d .:xwp0;zh g wn9tdjppthrough the Earth, the relatiiwdgxh: zn j;w 09tzpp+d0.p-ve motion between the S wave and the particles is

  In seismology, the P wave is a longitudinal wave. As a P wave trave o5)i9y0 kqtwgls through the Earth, the relative motion between t95ti)oyw qk0 ghe P wave and the particles is

  The intensity of a wa2 (i*btrfsu2o ve is

  A wave pulse traveling to the right alonr*q j+q zbz-d/mcdr0.892iuuyd t9k tg a thin cord reaches a discontinuity where the rope becomes thrt0ukyc9jr/ z.-mi+9b qqzd*tdd u82 icker and heavier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass eyxs ;nq ukj6+g4q0*q iach other 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 at the same ty;sui06k *x4n+jq gqqime

  Two wave pulses pass e17xz8f nh cr0vach other on a string. The one traveling toward the right has a positive amplitude, while the one traveling toward the left has an equal amplitude in the negative directio 0xnr17 vhzc8fn. At the point that they occupy the same region of space at the same time

  Resonance in a system, such as a string foa 91)g ywyq7ur/mo1wixed at both ends, occurs when

  If one doubles the tension in a violin string, the fundamental frw t9 k6ut3kvfw; pk ;1tix-xe3equency of that string will in1f3;;3et9p 6ktw-vtw x ixkkucrease by a factor of

  What is the spring constant of a spring that stretc,s*lhud t6tv:hes 2.00 cm when a mass of 0.600 kg 6d*tts:v hul,is suspended from it?

  A mass is attached to a spring of spring constant 60 N/m along alw)z :j39t9w suy) ylz horizontal, frictionless surface. The spring is ini wt:y9 ljz)sw3z9ul) ytially 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 horizonka 2a;o4f ;y dazl*9s paj -a;y3-nhxntal, 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 pe k;*2yylnjadap n z ;hoa; ax9a-4sf3-riod of oscillation?

  A mass is attached to a spring of spring constant 60 N/m along a horizoh65-h m6o cj,xh.n bgwntal, frictionless surface. The spring is initially stretched by a forcw 6-o hj.6x ,cnbh5hgme 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 undergoes SHM. It goes through 10 complete g9y;m2r2si5s -4km z p1uxvn 9gejj4uoscillations in 5.0 s. Whate1u929gzv42 4jips 5kx-numgy jr; m s is the period?

  A mass vibrates back and forth from the free end of an 5ih lzryq7;3tideal spring of spring constant 20 N/m with an amplitu 3;hlty7z5r qide 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 constant 20 N/m along a horizox kg:2il(fvb;8vlnn zy +j cm7:(h 4ktntal, frictionless surf vk(ny g4x:lz8v :cfh;( nkbj 7tlm+2iace. 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 with9v-bz9)uj m 2fj24pz pcock f) amplitude 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 amplo -p2c)zp)9fb4kj9mzu 2c j fvitude 4.0 cm. What is the energy of the system now?

  A 0.50-kg mass is attached to a spring of springuyb*)q9,ps jr constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonicj*q u pr)sb,y9 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 ;p5h,lj ,eaqialong a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s at the equqepjal5i,h ,; ilibrium 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 spring of spring concktifb(o1o1,s8igz35z li/ u do24 *ifoj) bbstant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the total mechanical enz3(bt2 fz1iuf*j oiib 8gds,)5coolib/ 4 k1o ergy of this system?

  A 2.0-kg mass is attached to the end of a horizontal spring ofgo3tqp74m.b b spring constant 50 N/m and set into simple harmonic motion with an amplitude o73b4tm.o b qgpf 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 spring of spring co ui2mbqp-hc/v x fdj9k u9,;c1nstant 20.0 N/m with an amplitude of 0.250 m. What is the maxiqf 9pbh;1 kv2d muuj9xc ic-/,mum kinetic energy of this vibrating mass?

  The mass of a mass-and-springom; aj eejd8kty2825r 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 only 5.0 cm and thej5 e2j8ed2;otk 8 yamrn released?

  A 4.0-kg object is attache) zd89+ntqpt 1immb 5yd to a spring of spring constant 10 N/m. The object is di)n+95zi qyt1m8bdm ptsplaced 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 spring constant 10 N/m. 34 c9izks0ly4 ghrq2hThe object is displacgh3cy lk4hz4qs i 9r02ed 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 sprin4ias6/rfcnu:i)wv- dxt 3 oe,;*lt98qors lyg of spring constant 18 N/m, displaced slightly from its equil;u y ewctit)qr n-fsx,v9ls3odl 6 /a4i:o*8 ribrium position, and released. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequency of 1.27 Hz whex(d7m- jyhur8ti*nq -n displaced a distance of 2.0 cm from equilibrium and released. What is the maximum velotndq-mr -7(8u yxhj *icity attained by the mass?

  Two masses, A and B, are attached to different springs. Mass A vibrat1 h)lzmcwll18od2t0 bjq.kf+ y g4rf:es with amplitude of 8.0 cm at a frequency of 10 Hz a lc:108r t2z ofy .b l4)jdqhkwg1lf+mnd 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 equilibdmk kb 3*;xh 4akgu.xj0t-i-prium 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 pe;* x .4 j3pk0ku- xkidagtmb-hriod of oscillation.

  A 0.30-kg mass is suspended on a spring. Ir8mmfz1 wg0;7k(7mcaq d;w mnn equilibrium the mass stretches the spring 2.0 cm downward. The mass is th mw7mcm ;7;0dmg(nr8f 1zkqawen 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 spriyqipi sn 9;23cng. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulledi3 2;siqcp9ny 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 pos / 8injyi 5*s5ztcy:nxition versus time equatisz ynycti5* /i:5nx j8on:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following position xte; w 8ehkyj4r( 9g:qp7 kds8versus time equation:t8 psy d; kxkwg eh7er(:4j8q9
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic moti;eotp snq (3tp( ew.o/on obeys the following position versus time equatp;o3qet( w/oes .ptn (ion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple c7hpbj*f3(c1bt 4yk m harmonic motion according to the e bh(kmftpcc1y* b3j7 4quation $y = 0.50 \; \sin (18\pi \times t)$ 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/mwxxlf-7 0a(ox oscillates on a horizontal, frictionless track. At t= 0, the mass is released from rest at x= 10.0 cm. (That is, th (w xfxo70x-lae 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 swingcl589-sav(ey sbp : nms in 8.0 s. (a) What are its frequency and perip9v-8: c sb5(selnmy aod on Earth?

  A 3.00-kg pendulum is 28.84 m long. What is its period on Ean/u. wc.x /ecbrth?

  A pendulum has a period of 2.0 s on Earth. 0 )csefh80blb What is its length?

  The pendulum of a grandfather clock is 1.0 m long. What is its pfig v/xb, h33period on the Earth,pf3 hx gib3/v?

  The pendulum of a grandfather clock is 1.0 m long. What is its g6dr.4ab;12n cu v6f h; ,0drkrharwg period on the Moon where hfb0a2u,a rw6. chkdrdr;gn;rg 614vthe acceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attached to a+. 3xla yvyahq -60(fl7kozom massless string. When the mass is displacedvay 3xky7q. a( om-fozh0l+6 l 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 the string instead?

A simple pendulum consisting of a 20-g whsyqh- vvg7.gb *t 47mass has initial angular displacement of 8.0e. It osci y-*4hgs7wtg hv .b7qvllates 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 ggkyzu *l974;bmon,ave:d+ 1 bt mju(time. The frequency of the wave is 120 Hz. What is tht o1;9yl (b ekn ua+bv*gd4jm,7gzu:m e amplitude?

  Figure 11-2 is a "snapshot" of a wave at a dy*eh03 0+,qiop z*kchzri0 x given time. The frequency of the wave is 120 Hz. What is th0idqrpkhho+*y z* i, x0c0 ez3e wavelength?

  Figure 11-2 is a "snapshmsvx:mt ,( ,swot" of a wave at a given time. The frequency of the wave is 120 Hz. m v,( :tsxwms,What is the wave speed?

  What is the frequency of a wave which has a period of; 1p;g g 9t3aegckauqdrfv42-:rad;w 6.00 ms?

  What is the period of a wave with a frequency of 1500 0p qfyn55nfh 4k31azo Hz?

  What is the wave speed if a wave has a freq6ja jt820zxu ntt um(uj c313nuency of 12 Hz and a wavelength of 3.t unu06 1(tjmatnu3x28 zj3jc0 m?

  What is the velocity of a wave that has a wavelength om t v7l(a8160gii(nyyvx l(mbf 3.0 m and a frequency of 12 Hvmy(7i0la(y81gvixlt ( n bm6z?

  What is the frequency of a 2uob63(itx r:w .5 m wave traveling at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is under a tension of 1-efncp x8do 5365s/ ;r xln g5taut:jr350 N. What is the waved fxconp5-j :t l5r5ar3xn; egt/us68 speed?

  A string of linear density 6.0 g/m is under a tension otuie,jb i4m ags fr,9g gv,m5f5 j(d-*f 180 N. What is the velocity of propagation of transverse waves along 5sd g5 ,gj*umt ,ej vfm(g-a9r i,fib4the string?

A wave whose wavelength is 0.500 m is 3wp+kp rk3z9ntraveling down a 500 m long wire whose total mass i3kn3wzp kpr9 +s
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 z0(b*mdj xhfni6 a92v on a 2.0-m long string fixed at both ends is 200 m/s. W 9v6f0(2*xnibz jdm ahhich one of the following is not a resonant frequency of this string?

  If a guitar string has a fundamental frequency of 505)i9 ba zypr3f0 Hz, which one of the following freqbz 5)yif3 r9apuencies can set the string into resonant vibration?

  A stretched string is observed to have four equal segments in a standing bfqkd g/g 18(mwave driven at a frequency of 480 Hz. What driving frequency wiggk /1b(q8df mll set up a standing wave with five equal segments?

  A string, fixed at both ends, vibrates at a frequency of 12 Hz with a standing t/ om5.a0itycqransverse wave pattern containing 3 loops. What frequency is neededi .oatmy/0c5 q 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 Nqswe b7jll2es q4i js ww5):6v(h7(6 q0msmvn . What should its length be if its fundamental resonanc:7wq vj(v q()sw 5420 mbh6sesqnl7welji 6sm e frequency is 220 Hz?

  Find the first three ho)v80 b6bl klr2jf/dx armonics of a string of linear mass density 2.00 g/m and length 0.600f6vd l/8jbbo0 klrx2) m when it is subjected to tension of 50.0 N.

A string of length 2.5 m is fixed at both en m2/t v+ dnir7x5vwlb1ds. When the string vibrates at a frequency of 85 Hz, a stanl+bdrn 1v2im5 x /7vtwding 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.