The time for one cycle of a periodic proceskiz6ll63. gb lj:is :os is called the

  For a periodic process-moq of-nn9jdeg8rd6. gl, r,, the number of cycles per unit time is called the

  For vibrational motiotsw9 o 9kid8rt)d .g c77tm*hin, the maximum displacement from the equilibrium point is calle g 7 hirt .)scow89tm9td*7kidd the

  A mass on a spring underg.sev 7o-e8av goes SHM. When the mass is at its maximum displacement from equilibrium, its instantaneous velv ego-.esva78ocity

  A mass on a spring undergoes SHM. When the mass passes through the equk.mo0big apc fxt+z55v+*yi ( ilibrium position, its instantaneous velocityc5g.fvi *zpiot0yax(5+ m+b k

  A mass on a spring undergoes SHM. When thtzy 54b) b) tx8:n orlbi;z9mue mass is at maximum displacement from equilibrium, itr:)omz)xiulz95n 4ybtt8bb ; s instantaneous acceleration

  A mass is attached to a vertical spring and bobs up and down between poinjy*x7 ) afi)nuwd+;p sts A and B. Whe xds)i*w uy+a j7n)p;fre is the mass located when its kinetic energy is a minimum?

  A mass is attached to 5 b /z-g*d 09te0q;vyufh)kcvmenq, la vertical spring and bobs up and down between points A and B. Where is the mass located when its kinetic energy is a maximuv0 lbkq0e yz5 tu,v/fcmg;h -denq*)9m?

  A mass is attached to a vertical sp 9zzojfct du8 i/pi0:-ring and bobs up and down between points A and B. Where is the mass located when its potential energy is a t:dz 0/z iju89po-c fiminimum?

  A mass is attached to a vertical spring and bobs up and down vn:n, rq;;:4tec a +kbj)t zlbbetween points A and B. Where is the mass located when its potential energy is a qb:4cn jtz;l +rbk;v ten),a: maximum?

  Doubling only the amplitude of a vibrating mass-and-spring system produces wh +v mtv;tso5: *v.zdfp6,qvc lat effect on the system's mechanic p,lzd s.ftq5t+:6;ovc*m vvval energy?

  Doubling only the mass of a vibr0,duerc 6w:2 -q8e qze evxg.tating mass-and-spring system produces what effect on the system's mechanical en-e8wqzvx d06,q 2:tercgue e. ergy?

  Doubling only the spring consbl c z1,h u70duiof63qtant of a vibrating mass-and-spring system produces what effect on the icz bqo7 0,lduhf316usystem's mechanical energy?

  A mass oscillates on the end of a sprin0v(4( guy,i;q+xr/ 8a,xvuxm sa tldlg, both on Earth and on the Moon. Where is the period g(ar8vum;ti/xv4y0(x ad,qs l+l ux,the greatest?

  Increasing the spring constant k of a mass-and-spring system cause xzemc9hn/0g 9s what kind of change in the resonant frequency of the system? (Assume no change in the system's zm h9/c0 9gxenmass m.)

  Increasing the mass M of a mass-and-spring system causes wtmqwxt 4(k7 r(y/ld /qhat kind of change in the resonant frequency of t4ywtkl d(/xqm /rq7t( he system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system cahwdp ) u2qn1m9g 7kk(cuses what kind of change in the resonant frequency of the system? (Assume no other changes in the 2k q(cdngk wph7u1 m9)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 wei/s /u -,s.uwlcwl izh*ghtless string of length L. For this s i cw,*l.uuz//slhsw -ystem, when undergoing small oscillations

  When the mass of a simple pend7sn )l);x+qy9 1hpzyk lacde31pj.d iulum is tripled, the time required for one complete vib y+sec h1ia9nl k.7zdl1x;yj)3d ppq)ration

  Both pendulum A and B are 3.0 m long. The period0s-s4.bx0fk rrsdp (4cjxwv - of A is T. Pendulum A is twice as kf( w0 -s4dssb- 4p x.r0rjcxvheavy as pendulum B. What is the period of B?

  When the length of a simple pendulum is tripled, the time for one co 9urt6yy x,ux 0pakm3+mplete vibration increases by amypau t6r k0,u9xy+x 3 factor of

  What happens to a simple pendulum's frequency if both its lenoqq3hxs 4 g:gom +qu/9gth and mass are increax og3u mg:hqsq/4 o+9qsed?

  Simple pendulum A swings back and forth at twice the frequency of b67r t xiz w.t4kn(xx2simple pendulum B. Whickx(7ti4z xtw6 n2rbx.h statement is correct?

  If you take a given pendulum to the Moon, wh dvkes26yi +f2ere the acceleration of gravity is less than on Earth, the resonant frequency of the penduliy+ 2s 6vk2defum will

  Curve A in Fig. 11-1 reprevsv66 :zjfr6q sents

  Curve B in Fig. 11-1 r8vt1z)axe7 kq epresents

  Curve C in Fig. 11-1 repne+tb3;icb9 bresents

  For a forced vibratio9sosz v9d(hv5mzc8 m3 n, the amplitude of vibration is found to depend on the

  In a wave, the maximum dc :f60-xcitbjg(bhg vtpc0ul 8 ,w,/kisplacement of points of the wave from equilibrium is called the wab f cvw(cu,-:igt h /c l,6btx0j80pgkve's

  The distance between succi22k sxl d;w; o7r2uwjessive crests on a wave is called the wave's

  The number of crests of a wave passing a point per unit tim h+4 doai)oog(hfs r05e is called the wave's(ia) rg05doo+s4f oh h

  For a wave, the frequency times theh:n cr 75ly5ai wavelength is the wave's

  The frequency of a wave increases. Wh3zshn75y. zanat happens to the distance between successive crests.znz 3n5h7a ys if the speed remains constant?

  A wave moves on a string wi 1ite6ed9k:/dn; towd th wavelength l and frequency f. A second wave on the same string has wavelength 2l and travels with the same velocityek 1d w;/ned 9i6tdt:o. What is the frequency of the second wave?

  Consider a traveling wave on a string of length L, mass M, and tension u84-bdlq n molq )8o3wT. A standing wave is setb-lqq43 d lwmo8o)n 8u up. Which of the following is true?

  A string of mass m and length L is under tension T. The speed of a wave in tgztabj jw-*tz70uitm-f : s5j 1vm:a;he string is v. What will be the speed of a wave in the string if the mass of the string is 7wjtm av fbzj st:j0azu-:g5t*- ;im1increased to 2m, with no change in length?

  A string of mass m and lengthp2j 8w(r. g0ohff.pkay /uxg1 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 lengtw0j 1(x2pf8.ky. rg goua/fph h is increased to 2L, with no change in mass?

  A string of mass m and length L is under tension T. The speed of a * *fjywbf4 ,vatz+bvo:y r:4i wave in the string is v. What will be the speed of a wa4by:+yrfwf*o4tz , ijv :*avb ve in the string if the tension is increased to 2T?

  In seismology, the S wvj)k qsw6 8o1aave is a transverse wave. As an S wave travels through the Earth, the relative motion between the S wave and the kso)8jvawq 16 particles is

  In seismology, the P wave is a longitudinal wave. As a P wz oarx80 8c/; 0vagjnaave travels through the Earth, the relative motion between tv8na0cajxo 8; gzr/a 0he P wave and the particles is

  The intensity of a wave19*,ta jp/e/ scvy 1 d7recuds *hgjn- is

  A wave pulse traveling to the /w6p p 5xdhr+qright along a thin cord reaches a discontinuity where the rope becomes thicker and heavier. What is the orientatirh65qx / dp+pwon of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass eacbd n)lhc.r7:8f)zn7u- o tde bh other on a string, one is traveling toward the right and the other toward thedu- nbohdz: ) cb l.7)87ntfre 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 rightflq3b4ke 9l+n has a positive amplitude, while the one traveling toward the left has an equal ampk934 elqbn+lflitude 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 string fixed at both ue hh(3,d3 mauends, occurs when

  If one doubles the tension in a violi:a7w l 6 3ykk8ce 8rrlrcw49ein string, the fundamental frequency of that strincc7al 84r3:rewwrk l68ykie 9 g will increase by a factor of

  What is the spring constant of a spring that stretches 2.00 cm when a massqilc vudywim//,)t *ae0o9 u( of 0.600 kg i(iqt,iw9c/lm v a)e0 u*odu /ys suspended from it?

  A mass is attached to a spring of spring cohlr6; d2lyv5jfrpw lq.r u08+nstant 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 massryuqfj8l0r 6v+;d l5. prlh2w 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 alonf5 fzlt ew-iy: i5fg 0bb*zw5/g 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 ba 0l: 5 fz 5wyew5zff/-igb*ibtck to its equilibrium position when it is oscillating. What is the period of oscillation?

  A mass is attached to a spring of spring constant jhz f*;./u okui yv9/f60 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 equjz hyu9 ;*oki /.v/fufilibrium position when it is oscillating. What is the frequency of oscillation?

  A mass on a spring undergoes SHM. It goes through 10 complete oscil5f)yfz u920iinas lroz5:y t, lations in 5.0 s. What is the p,us yr05) :5oftzi29f anzlyi eriod?

  A mass vibrates back and forthmxj.zf99mnjl te a* s(l3+y.h from the free end of an ideal spring of spring constant 20 N/m with an amplitude of 0.30 m. What is the kinetic energy of this vibrating mass mle m9jtjyxhf .n.*+ ( lsz9a3when it is 0.30 m from its equilibrium position?

  A 0.50-kg mass is attached to a spring of sprinjy*aml)z ik(6*l :y sp s4sx*jg constant 20 N/m along a horizonta6)(mypl4 :i*sjlz*js y x* kasl, 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 total energy of the system?

  A mass undergoes SHM with amplitude of 4 cm. The energy is 8.0 J at this time. 4 0s7a z4rh*i vax5nmk The mass is cut in half, and the system is again set in motion with amplitude 4.0 cm. What is the energy of 4sxna 7zm0r*kiv4ah5 the system now?

  A 0.50-kg mass is attached todvjnydnte ca6*52 .8hk c;m:n a spring of 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. What: m a; y2nhc .6jknctdvn*8e5d is the amplitude of vibration?

  A 0.50-kg mass is attached to a spring of spriiy 5-v7s tv (,r(zygrzng 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 what location are the kineticz,z(tvy5ri-g(vs7 y r energy and the potential energy the same?

  A 2.0-kg mass is attached to the e jrg6(k8lm sll:jdl5 w 7,l/hznd of 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 tz:r6jl lgw,l/dlks8l 57hm ( jhis system?

  A 2.0-kg mass is attached to the end of a horizontal spring of spring con3zkb33/ d ys+tkbz2w astant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the total mechanical enba/ksz3dwkyb 2 z3+3t ergy of this system?

  A mass vibrates back and forth from the free end of an ideal spring of v+7j-kl2gx.vls2z 8pgeka i) p c8 b3hspring constant 20.0 N/m with an amp)s g.evbgcixl7l 382z2hjpk a v-+k8plitude 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 cmmg6*lfq6-2dfk1qb b goa-m0r 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 5.06 lbf g-q k0 b1gm-2m6of*drqa cm and then released?

  A 4.0-kg object is attached to a spring of spring consta*ov3 4 qmt7cg7ewoi -cnt 10 N/m. The object is o-i 7*t73 eg oc4qcmwvdisplaced by
5.1 cm from the equilibrium position and let go. What is the period of vibration?

  A 4.0-kg object is ah(la9m q u 1mhs 3):drbvmx)b2ttached to a spring of spring constant 10 N/m. The object ihlb mu1 xbdr)h:)2m samq 9(3vs 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, displaced slightl viro2,esi)( v .0zdiry from d0isr2 irzi()ve. o, vits equilibrium position, and released. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a frexayc 3 ) rdatl,*vc a;yz-s7r2quency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What is the maximu ;rc* 7dt2av axrcz ayysl3,)-m velocity attained by the mass?

  Two masses, A and B, are attached to 4g3)yuweos(;g,gjmop8 fm )i 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 isf mgm,oj8)g;)3(op4guwy e.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 suspex/);g *ryn f;a)pa dshnded on 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 perio h;y) fgrs/xn)a*dap; d of oscillation.

  A 0.30-kg mass is suspended on jxxyxl92 ,lo+ :bi oq3a spring. In equilibrium the mass stretches the springl:x+b xiqo3 o l,y9x2j 2.0 cm downward. 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 w7s04h,8 zvfzt5 j xgfon 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 fro jz4 8v0,wfgxf5hz7 tsm rest. Write down its equation of motion.

  An object in simple harmyr 7tg o2h gsui4x8+(bonic motion obeys the following position versus time equationgr87 tg+i4osy2(xuh b:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the followi mf9kt/0bns)l,t )ojcng position versus time equ,fl)/ cm9ot kbnj0ts) ation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the follow7z r kq 16cqdkevx4*z-ing position versus time equa4-z q q1r6ez7kkcv* dxtion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of ak(1 i7fmhyw/v spring executes simple harmonic motion according to the equ/mwvh7k i(f 1yation $y = 0.50 \; \sin (18\pi \times t)$ 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 :noj i1 /-y2 mhu*g(0ajfq+ebh 9 qiycof 20.0 N/m oscillates on a horizontal, frictionless track. At t= 0, the massy2 h +cj-1/i g:0*h noaujq(byfq9eim 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 8.7 a5;yyscl m2q0 s. (a) What are its frequency and period yqy7m s52cal; on Earth?

  A 3.00-kg pendulum is 28.84 m long. What is fytgnd;).f7)xsra usu 5+gt1 its period on Earth?

  A pendulum has a period of 2.0 s on Earth. 1dn k85 c,zeqdWhat is its length?

  The pendulum of a grandfather clock is 1.0 m long. : i-d9mf js4 iu by9v,vnawfh.8g8 5vmWhat is its period on the Earm9af9v,v wvj. 5d8ym8h fs-u:ingib4th?

  The pendulum of a grandfather clock is 1.0 m long.qf*)-j wr 2tu)+swwmy What is its period on the Moon where the acceleration due ttwqy)jwu w2rf-+m*s )o gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical anrkbe4+* zu9vc f n/5mass 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 0.4v9 bau 5n/nzcfrk*e+50-kg mass (same diameter sphere) had been attached to the string instead?

A simple pendulum consisting of a 2jn3; *mzl.mee0-g mass has initial angular displacement of 8.0e. It oscillates with a period of 3znl;3je .*mem.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.pdumv0 z2xh;jjltt gn8 6lthl6-s2 kxx82/2q The frequency of the wave is 120 Hz. What isxkvxxnt/ 2 6gp28jsu2dh60ljm ht 2 llqt-;z8 the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency of the de361jveo*dy(nv:rr wave is 120 Hz. What is the waveleng3d(*ernr y6 1v:djoev th?

  Figure 11-2 is a "snapshot" of a wave at a given timecb5(tnhbem1 2v29d6q leg 2zx. The frequency of the wave is 120 Hz. l2ezbv( 1 gdex592q2mn t6chbWhat is the wave speed?

  What is the frequency of a a/uhwoe k2-q:wave which has a period of 6.00 ms?

  What is the period of a wave wiubep0. d)a)- d0ahc5xnn;nffth a frequency of 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz and a wavelength of 3. )4jpt3 icc;bk0 m? jptc4k);cb3 i

  What is the velocity of a wave that hap c::rpl6nxrt , j4wtvc1,4lhs a wavelength of 3.0 m and a frequency of 1r,l:ph tt6vl4nrwc:4c,pjx 12 Hz?

  What is the frequency 7ooq ( t)sm ,32* m-rgmz 7.qmxis-adx e6segxof a 2.5 m wave traveling at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is under a mokd6u;mpdyo/ .nh/( bgkm5+ tension of 1350 N. What is the om omb/ 6.dhky g m+p5dnk(u/;wave speed?

  A string of linear dens/m7 :ixe1kj0 a2 zwksxity 6.0 g/m is under a tension of 180 N. What is the velocity of propagation of transverse1:w72 k0mxa ekxzs/ji waves along the string?

A wave whose wavelength is 0.500 m is traveling3kxjz ty:v,0e5ezwu * down a 500 m long wire whose total mass w3,e : u*vytz05jkxz eis
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 fixed,.a k 6wd;,qtlxqxh 6g at both ends is 200 m/sx q6,.hwqk a6x d,lg;t. Which one of the following is not a resonant frequency of this string?

  If a guitar string has a fundamental fqt ahcq6p 6ay;s31htpt5c 4)p requency of 500 Hz, which one of the followihp1 ; 6s3ptaay c6)ch5p4 tqtqng frequencies can set the string into resonant vibration?

  A stretched string is observed to have four equal segments in a standing wave drm3v v*a2gsh7v)ww py slvld 3-fw9t 5;iven at a freque5lvtvvd a)y *fwgl3hw37 pv9-;wsm2 sncy of 480 Hz. What driving frequency will set up a standing wave with five equal segments?

  A string, fixed at both ends, viby 3afii7b3z i-rates at a frequency of 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency is needed if the standing wave patii7 fzyi-33b atern is to contain 4 loops?

  A string of linear density 1.5 g/m is under a tension of 20 N. What should itf706ka b jal)-lz:z/i8c/jj qrt xr/ qs length be if its fundamental resonance frequerqcxbjj /i/aj:7tk/)l8 - q r6za 0flzncy is 220 Hz?

  Find the first three harmonics of a string of linear mass density 2.00 g/m and m8.bz3;hl tahlength 0.600 m when it is subject;m.ha8 lb h3tzed to tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. When the string vi+ :mp:t7nvil.:oy98yf matmu brates at a frequency of 85 Hz, a standing wave wttm.7+yfa:minl uym p9 8:: ovith 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.