The time for one cycle /2: eh-.l1 eunufc8l zbuqy+dof a periodic process is called the

  For a periodic process, the number 1tq d9up6ps1om ac-w /of cycles per unit time is called the

  For vibrational motion, the maximum displacement from the equilap313 a)hjke zmcgeza:* r+tew*8 8 ixibrium point is calledc*8 w h*)a83xipz e e1aera:+3mgtjzk the

  A mass on a spring undergoes l4 gg6/w;csnj s xfjvht:339hSHM. When the mass is at its maximum displacement from equigj ct: 3 jvg9fwsx4s/;h63 hnllibrium, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass passes th:ib 94ioc q+ t10hahetrough the equilibrium position, its int:h+i 9heoq4 tia1 c0bstantaneous velocity

  A mass on a spring undergoes SHM. When the mass is at maximum x/.jcc*rzhz 7n9ho3;8ro szkdisplacement from equilibrium, its instanr8z*hzko3hc s7o/nx z;rj9c. taneous acceleration

  A mass is attached to a vernjy)7z9soig j*p 2 (rztical spring and bobs up and down between points A and B. Where is the mass located when its2i )py9( g*7njrojzzs kinetic energy is a minimum?

  A mass is attached to a vertical springx1atm(0;nxjp q jd 7v0 and bobs up and down between points A and B. Where is the mass lo mxxj1n (;vpq070jadt cated when its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up and down between poinrn-0g8 .ckur/5 qvjg lts A and B. Where is the masnvu lq8g.j/gc r-k50rs located when its potential energy is a minimum?

  A mass is attached to a ver/msv: brg l5-d2zuxqqoc/r48 tical spring and bobs up and down between points A andbg2uczo8mqr s -//lv :4qx5 dr B. Where is the mass located when its potential energy is a maximum?

  Doubling only the amplitude of a vibrab3rkmm- 0l /seting mass-and-spring system produces what effect on thm3e-0s/ rlk mbe system's mechanical energy?

  Doubling only the mass of a vibrating mass-and-spring syscv+fv 9 zcf nr42qidsv*p o674tem produces what effect on the system's mechanical enros47vf 2i pv+*f cn6vd49cqz ergy?

  Doubling only the spring constant of a vibrating maac+* c ixrw.;mss-and-spring system produces what effect on the system's mechanm;+a*criw cx .ical energy?

  A mass oscillates on the e*mgkweq-q gz kz4 d* 2i9xk7o,nd of a spring, both on Earth and on the Moon. Where q z*74k-w92g* ,odzixqgkek mis the period the greatest?

  Increasing the spring constant k of a-*zrbhxw lq7 b-f9tk7 mass-and-spring system causes what kind of change in the resonaz7-*w9b ql khxtf7- brnt frequency of the system? (Assume no change in the system's mass m.)

  Increasing the mass dt b+e.38ym,+l ghji.9w8z nm7rghcf M of a mass-and-spring system causes what kind of change in the resonant frequency of the system? (Assumyjz c7gd.938 g8+mhwntblhfm. r+i,ee no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system causes what kind of ;r xg1(3h3 alwzefepi/sm.jgsw79)p change in the resonant frequency of the system? (Assume no other changes in the x) aegj.hwr(e7f3s19 zi; pspmw/lg 3system.)

  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 z(5 f2py r(jp)g1 smcbattached to a weightless string of length L. For this system, when undergoing s5 )jp (2zgf bs(cr1ympmall oscillations

  When the mass of a simple pendulum is tripled, the time required for one r ci4yao6qj*+ complete vib* +iaq6r yc4ojration

  Both pendulum A and B are 3.0 m long. The period of A is T. eng,8:/ a:ib +rarljwPendulum A is twice as heavy as pendulum B. What is the period oe :r ig/aw,n8rj+bal:f B?

  When the length of a simple pendulum is tri +m; kt6e wqcqdov)z*nr8it97 zhc 5cgg0l u:5pled, the time for one complete vibration incrgi 8z wr+h 7ed6clonug50k:t 5 mqcz qv*t)c9;eases by a factor of

  What happens to a simple pendulum )d4 /dye e(gew60ov4b k2pvtm's frequency if both its length and mass are incrt)em60/4y d(pow gevbdk4 e2veased?

  Simple pendulum A swings back and forth at twice the frequency ;.6 cx2akcnh.ycjct 1 of simple pendulum B.c.j .yh c6ctck xn2a;1 Which statement is correct?

  If you take a given pendulum to thnpu(de8t .31h sasu mk4)qu.hqpy -k1e Moon, where the acceleration of gravity is less than on Earth, the resonant frequency of the pendulum wipust)pq.e4h -1.kh1 qk mynusu 8d (a3ll

  Curve A in Fig. 11-1 pn1 ze+ n oad.piyifbxg,*do:i, +*nvx5 7t2yrepresents

  Curve B in Fig. 11-1 repre5o y5isk2u*5j1xid;eqz hd 2 lssql (:sents

  Curve C in Fig. 11-1 8scs p //ksc .sk 4dkzz74wq-frepresents

  For a forced vibration, the amplitude50 7/t qxn :xy:noob36i2qts. rmc bxo of vibration is found to depend on the

  In a wave, the maximum displac4rq pxtcf: )9.zkcf3l b8 t5opement of points of the wave from equilibrium is called the3fpcztpc:5ofb9tk lx r)8.4q wave's

  The distance between successive crests on a wave is called the wav;oi mju/ l)d2ne's

  The number of crests of a wavik5w t zy1+n11x: jk:0fmlvauvk/;w re passing a point per unit time is called the wave's+ m jyua/ wk:rkk10n; 5:ztfx1iv1vwl

  For a wave, the frequency times the wavelength is the w,toj;d h;c m)xave's

  The frequency of a wave increases. What happens to the distance between succes enbxapy+365t sive crests x+n 5yepb t3a6if the speed remains constant?

  A wave moves on a string with wavelength l and freqp n j0kfy*w6rri0l d3, *,towbuency f. A second wave on the same string has wavelength 2l and travels with the same velocity. What is the frequency of thedbi0 pl n**rw,0k 3yt6orwf j, second wave?

  Consider a traveling wave on a stw o c/ftk75z zzej.6.fring of length L, mass M, and tension T. A standin5e.o f .7zj6z/wcf ktzg 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 wave inac ndfr:o xz3q07,( sh2g b/sb)5quri 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 /nr)s(7x3b0bouhg s di,5:f2c qqzra length?

  A string of mass m and length L is under tenr rl81rxn3o3-m 1:r0z dwwrey sion T. The speed of a wave in the string is v. What will be the speed of a wave in the string if the length is increased to 2lr-zr nme3 x o:0yrr18r1w3dwL, with no change in mass?

  A string of mass m and length L is under tension T. The speed of a wave in the 2ewg*gkz x.k vq djw.0 2cuw,.string is v. What will be the speed of a wave in the string if the tension is increased to 2Tw2kzc02vg,. wkgxejuq. w.d*?

  In seismology, the S wave is a transverse wave. As an Sf.*:j8qj :;k.wyyeea x5wl ce fqme5/ wave travels through the Earth, the relative motion between the S wave and the paklcw f5a;eq: y 5fe*ejq8m.yw/ejx . :rticles is

  In seismology, the P *hz*hgk/a8vh ujj- b 3he,-rfwave is a longitudinal wave. As a P wave travels through the Earth, the relative motion bjg k/--3 8e,*hhbvu jzhf*h raetween the P wave and the particles is

  The intensity of a wave 6bl , k;5 -sgw4dyxjnkis

  A wave pulse traveling to the ripv xd3.3f dbnmvs81n+6ev. b pght along a thin cord reaches a discontinuity where the rope becomes thicker and heavier. What is the.3v +.bdd1s8mvnp pxe3 fbnv6 orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each other on a strinfyc.iz7/+6e tbzjp9+gdo ro0aoo 9. l g, one is traveling toward rbc .zoto+e9+g9f zol6i/ajd.70 poy 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 each other on a strsf,aqs0s iu;b3lcy ddlzo1a2w23x-/ ing. The one traveling toward the right has a positive amplitude, while the one traveling toward the left has an equal amplitude in the no2sf 2uazi;30yq/al sx3d,1lbw -dsc egative direction. At the point that they occupy the same region of space at the same time

  Resonance in a system, such as a string fixed at both netq1:*tes 0kpn)9sa o (e vb*ends, occurs when

  If one doubles the tension in 1sq5uk6g3* /y es w7fz7ofmvta violin string, the fundamental frequency of that string will increase by a f u1wk/ eyz fgf77qm3vss5t6 o*actor of

  What is the spring constant of a spring that stretches 2.vljf,,eup m+nf5h;bpr * 8)fw 00 cm when a mass of 0.600 kg is suspende +,j vfnhpuerm*p,85 lff ;wb)d from it?

  A mass is attached to a spring of springo b6llru1 2g ;ouvp67z constant 60 N/m along a horizontal, frictionless surface. The spring lozurvu6gl;o7 26b 1p 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 y3 w/r;as2(fmb sn ul9)egc0b along a horizontal, frictionless surface. The spring is initially stretched by a force e ry( / nga9w3bu)2s0f lsb;mcof 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 yo6y+(p6 gr f 8pc;f19agcdmfa horizontal, frictionless surface. The sfr ypf a(d6816 9 gcgm;c+pofypring 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 frequency of oscillation?

  A mass on a spring unds nyzl4 jb4zbq3f 6-e)ergoes SHM. It goes through 10 complete oscillations in 5.f43ylej z -nzsq)b4 b60 s. What is the period?

  A mass vibrates back and forth from the free end of an ide)ytf )vxvke()h zt92p al 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 0.3 y2x) 9)evt(zk)tvph f0 m from its equilibrium position?

  A 0.50-kg mass is attached to a spring of sprinej69bb6 c) wtvt9 1bryx3q.j dg 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.j tr9cb)6wyd. tej9v 13q x6bb What is the total energy of the system?

  A mass undergoes SHM witcjzs4 h7)f62dzlr iyu kfgn 8466ms)bh 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 amplitude 4.0 cm. What is the energy of the system now?klg2 4j74 rufbid68)hz6n s z)mc6y fs

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m along a hori,)yxb9rl kp e2mdgg4: zontal, 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 amplitude obkd):9,4ygp l gre2x mf vibration?

  A 0.50-kg mass is attached to a spring of spri)e kq cburj3lj7 7bd;*ng 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 pob *;37)djjrkquebl 7c sition. 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 horiiw.*e xetz8n8w, wni6zontal 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 et ww 8*iz6xwi.nen,8system?

  A 2.0-kg mass is attached to the end of a horizont7;eza; n ok /yex/rxjxr6m (c6al 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 enem/(xk ; rayr6o/e6j;cx ezxn 7rgy of this system?

  A mass vibrates back and forth from the f cc 5tsa1(d1gjdq)e6free end of an ideal spring of spring constant 20.0 N/m w ad)161tgejd5ccsq f(ith an amplitude of 0.250 m. What is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring system8h3ycli .m ls)nq4rni1 7*mcj is displaced 10 cm from its equilibrium position and released. A frequency of 4.0 Hz is observed. What minc7s *4ni.ql)jh831 cml ryfrequency would be observed if the mass had been displaced only 5.0 cm and then released?

  A 4.0-kg object is attached to a spring of spring constant 10 N/m. T(v 0x* l: n8jsksgqyh8he object is displaced:*8q8n (g 0sl jsxkyvh 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/m3t:sc0w8).)b;i z7jvioan7fmm hz cc. The object izsf 0n:v7ahiiz8.) wb c73 ct;mj)omc s displaced 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 constant 18 N/m, displac yk9nsz3sn k,3ed slightly from its equilibrium position, and released. What is the fr9,ssyk3kz 3nn equency of its vibration?

  A mass is attached to a spri1h3uvwv ;. ,hs0dfqzi ng. It oscillates at a frequency of 1.27 Hz when displaced a hhwv;0sv1uizq .d,f3distance 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 w- t2xpt 8i+thaith amplitude of 8.0 cm at a -itxthp2+a t8 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 symlqe la 6f, kobq4hkgc3x am,+c0( 2h/+pa1 tpring. 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. Calcub, +/xkgy1tp,2 alahqh f3e 0la4o6 c(mkmqc+late the period of oscillation.

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass str9 (ncueh (xxw7etches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and release(ecx7(w x u9hnd from rest. Calculate the total energy of the system.

  A 0.30-kg mass is suspended on a spring. In ea,fmq;*g pz z(h85mtd,8vm cqagh( r,quilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm ,,mz qt8cfzr, ma5((ha h;d8gp*gvqm down and released from rest. Write down its equation of motion.

  An object in simple harmonic motion obeys the follo;gu*z 3 d(suilwing position versus time equaig3d;u lz*( sution:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obe*v6gabt tb 6hwc8eg1y4 +vi)pys the following position versus time equati6gb6p4atgh8ye1v c +wb* )t vion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following position versus timexukit 40mn4: d equation:d kxn04i m4t:u
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple harmoni09 :/l yt-ibonamj kq4e5lha4c motion according to the equati oet:y9k n0l4al -4jha/ibqm5 on $y = 0.50 \; \sin (18\pi \times t)$ 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 nlgd0sfm:9 m1* 3jvsaoscillates on a horizontal, frictionless track. At t= 0, the mass is released from rest at x= 10.0 cm.sj 0gad:fm1v m9ln*3s (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 frequency and pe 8i r*vbns.- v 4m eudp*o2(3ajkyhe2n/hd;shriod ondhj2 kshvd;4 b3epv * hrimasueon(y*2-/8 .n Earth?

  A 3.00-kg pendulum is 28.84 m long. What 97v7k h 4ycfw8am:c mhma)*zmis its period on Earth?

  A pendulum has a period of 2.0 s on Earth. What is isz3s;hm;q 4tf s9st 3ats length?

  The pendulum of a grandfather clock isuy4at6c gdk7au14o 0znc(*3xkma. sw 1.0 m long. What is its period on the Eaa1a0mazk*4. cd u6 usx 47 3gonckyw(trth?

  The pendulum of a grandfather clock is 1.0 m long. What is its period on t of e5+q +7se++rujosii/s3 q kl6za9bhe Moon where the acceleration duf7+z+eur 6jo9eq+ /3ba+ i5ks osil qse to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass at 0 ozu)vouiw+k*2z0hntached to a massless string. When the mass is du hz00zv*)no+uik2wo isplaced 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 mass has initiapz3m+w x*xcnvs b,s (32ns k/ul angular displacement of 8.0e. Itm32u(wpx sk vzs+,/csn *x bn3 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 w2 s q3fxw2*9l mpyim+zave at a given time. The frequency of the wave is 120 Hz. What is the amplitudezs*m+p9 l2ywf2qx3 im ?

  Figure 11-2 is a "snapshot" of a wave at a given g(vrd.3x srk 8k-n j.vtime. The frequency of the wavej3k.d v. rnrkvs- 8g(x is 120 Hz. What is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequ ut1b og/.ref b08;7 qj ab;pwqr6yf;mency of the wave is 120 Hz. ; . ;bo16qbatm ;jbfe0r gpuqf8wr7y/What is the wave speed?

  What is the frequency6- n u mpnvfy yb-5n;9sb*pnu: of a wave which has a period of 6.00 ms?

  What is the period of a wave with a freqm u g9jik8dz1)ryc47suency of 1500 Hz?

  What is the wave spee84ife 5 psgrj:t u0 ukdx3+p*id if a wave has a frequency of 12 Hz and a wavelength of 3.0:4re8fstkg iui3 *5 x+up0pj d m?

  What is the velocity of *j.czk2y;/e9f om vyty/yw: c a wave that has a wavelength of 3.0 m and a frequency of t fve9mwyc: /o2kc;* z./jyyy 12 Hz?

  What is the frequencyb5amtta lw3:z.( 8uukp) maa. of a 2.5 m wave traveling at 1400 m/s?

  A piano string of linhtu s4pcm y +3+sc xn 4yylv/b7n(n;q8ear mass density 0.0050 kg/m is under a tension of 1350 N. What +cy4hy;ny(q+3n v lsxnm bu87csp4/tis the wave speed?

  A string of linear density 6.0 g/m is under a tension of 180 N. p (fcwaze) 2xtc r7 -abzg,2r2What is the velorcg2) bewxat 2(p-z2f7, cazr city of propagation of transverse waves along the string?

A wave whose wavelength is 0.500yxqf4 2o-9j fx m is traveling down a 500 m long wire whose totaofx yfx 9q2-4jl mass 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 fi27rcmf)( (ls-drz xvhxed at both ends is 200 m/s. Which one of the following is not a resonant frequency hfxd)(mlrc v(27rs z-of this string?

  If a guitar string has a fundamental frequency of 500j ruwu(l ;od/1 Hz, which one of the followw rudlj1(o;/uing frequencies can set the string into resonant vibration?

  A stretched string is observed to have foc5l .m 4 cu;8vlsrrxk9ur equal segments in a standing wave driven at a frequency of 480 Hz. Wxrlvul csmc5r8k; .49hat driving frequency will 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-wr :os 356ef1w rnazg transverse ww1nrea3- 5 6gos:w fzrave pattern containing 3 loops. What frequency is needed 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. Wha,kp g/ e77 u6mkhgtt5it should its gtkmih/7kt ue,76gp5length be if its fundamental resonance frequency is 220 Hz?

  Find the first three harmonics of a string of linear mass density 2.00 g 9 xrl6ua6e(9b9z04xkvs iica /m and length 0.600 m when it is subzaib (9ur64lv06 c kaxe ix99sjected to tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. When the exg 3i.ki f4dw /3z2jb4nuu -bstring vibrates at a frequency of 85 Hz, a standing wave with five loopsz.b4x we n kf bu-/2i3j4udig3 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.