The time for one cycle of a periodic processb9 qc+r+ilg*vym g r(- is called the

  For a periodic process, th-3 v p37urnohts 9b* h6m6tx:f69niqtxk1ec ne number of cycles per unit time is called the

  For vibrational motion, the maximum diq6sibj4v /4ofi *yrs; /gx3pu splacement from the equilibrium point is ca*quf i44j6r;3iyospgs /xv/b lled the

  A mass on a spring undergoes SHM. When the mass is at i4o -5zr jm8u15xu(o wbdo3jh8ygy(t nts maximum displacement from equilibrium, iot5hn -uwu( 48r8o 5j dybo3z1mgx (yjts instantaneous velocity

  A mass on a spring undergoes SHM. When the mass passes through the equilibri, :twzz 5/,ynkv5an sq6p 4lnjum position, its instantaneous velocityy5/: 5nkjt a 4lqwz6s p,n,nzv

  A mass on a spring undergoeunofds5e.7rze/2v /hu:ep 5ts SHM. When the mass is at maximum displacement from equilibrium, its instantaneousnuoe/5h:d f.usp2 / ve7r zt5e acceleration

  A mass is attached to a vertical spring and bobx u2xf8hgd;) l,8a lshx: s +x7mrgzv:s up and down between points A and B. Where is the mass located whegxl sr hlfdv8m7xs,: a:z)gh2;+ x8x un its kinetic energy is a minimum?

  A mass is attached to a vrqh 8pyw:54)nf0u b6k mlxfp*ebn3 7gertical spring and bobs up and down between points A and B. Where is the mass located when)6fx74kf *0bw8r ynqu lg3pbh nem :p5 its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up and d. -ds t 6y 2) reyadoi9a5;t3*- tpcpsyxqr*icown between points A and B. Where is the mass located whe * ctty6prxat*3driq952- .d- cyy ospei;sa)n its potential energy is a minimum?

  A mass is attached to a vertical spring and bopa,*evngd0: sr wjkx+qd.o+ 2 bs up and down between points A and B. Where is the mass located when its potential energy is a maxiox*a+2+k dd 0 ,q:prw snejv.gmum?

  Doubling only the amplitude of a vibrating mass-and-spring system prodl 5rq/(xvvq6puces what efrp (xlvq6/ 5qvfect on the system's mechanical energy?

  Doubling only the mass 2-w f.w2k zopytiklt(( o,y:iof a vibrating mass-and-spring system produces what effect on the system's mechanik.,o 2: i lf-tytw(k(iz pyw2ocal energy?

  Doubling only the spring constant of a vibrating mass-and-spring systeo-m i:j9v, cwgm produces what effect on tj, wg-vo:9 imche system's mechanical energy?

  A mass oscillates on the end of a spring, both on Earth and on thuhs 7,y k3kor gu;7p9me Moon. Where is the3ok9mgu hyr ,kp7s7u; period the greatest?

  Increasing the spring constant k of a mas q3e;+13vs+l2old* d s 3mwz wxwy.wfms-and-spring system causes what kind of change in the resonant frequency of w yv .3l 3e+mz1*3d dfmlwxw;so+wq s2the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mal q3ba a fu/i 9.bu*9h(+poqyqss-and-spring system causes what kind of change in the resonant frequency of the system? (Assume no change in the system's spring cobqhia 3aq(*lb.9q y 9pu+fou/nstant k.)

  Increasing the amplitude bdk(iqab6l + ,dy)1 rxof a mass-and-spring system causes what kind of change in the resonant frequency of the system? (Assume no otbq6+r)i( xb k1dl,ydaher 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 weightless string of lefw b2)+,vgwu 4 jj3essngth L. w 43sg,u2+jf sv)jbewFor this system, when undergoing small oscillations

  When the mass of a simple pendu8k/od3 8l-d9upqdseb 3b n4q6k0tkfu lum is tripled, the time required for one complete vibratie68 k8lqk-o 90q 3b/utfkpndd3sd4b uon

  Both pendulum A and B are 3.0 m long. The perimr2gksj,dx; ) b8z 0vaod of A is T. Pendulum A is twice as heavy as pendulum82d0 vbx,j azrs)k;gm B. What is the period of B?

  When the length of a simple pendulum is tripled, the time fco,5mj xzo-t; or one complete vibration incr mzt 5,;jcoxo-eases by a factor of

  What happens to a simple pendulum's frequead1wrhc b 1i(j2v4ea -ncy if both its length and mass are in 4cwa ed-1b2rh1 vija(creased?

  Simple pendulum A swings back and forth at twice the frequency of2s+rzk l:n3h3qc, epu5 a1brp simple pendulum +5qzna3p l2bp1uckr3rh s:e,B. Which statement is correct?

  If you take a given pendulum to the Moon, where the accelerat n;fyi )ndnt.h)2lvqe v3r8rndk 16 e;ion of gravity is less than on Earth, the ;r n1dy)knn2)rd3 .ve8levqnh;f6 it resonant frequency of the pendulum will

  Curve A in Fig. 11-1 represents tdu-wu kh37kma exk6002s*d f

  Curve B in Fig. 11-1 represww04s t4jdw: 9 95mzb3rwl miments

  Curve C in Fig. 11-1 reprm8p enll 8 s)hjn1mf1ku6, t/besents

  For a forced vibration, the amplitude:zyqg ys*,sh y3tg;k( of vibration is found to depend on the

  In a wave, the maximum displacement of points of the wave fromjaso,y xnpp6hxc9knvy8 3 -2 3 equilibrium is called the x j62h n-kanp s3cpyo3y8v,x9 wave's

  The distance between successive crests on a wave is called the wkdfky 2lht 6c :sz 60g*(k-k79hqmkdtave's

  The number of crests of a wave passing a point per unit bf)j;g(yb(g7r; j w pktime is called the wave's)(;b(j;g 7jgb ypfkwr

  For a wave, the frequencygw;tw1- l8( iw3aj:jh id k-pv times the wavelength is the wave's

  The frequency of a wave in8t 7lwlcaq3,n9j ;e ta/0lfn acreases. What happens to the distance between successive crests if the speed remains constant?na0qt c8 ,wl 39 a7t;feanlj/l

  A wave moves on a string with wavelength l and frequency f. A 0f1-g of2ooh /mylkf0d+srh* second wave on the same string has wavelength 2l and travels with the same velocity. What is +f 0 kg/o0yf*so-dmlohhf1r 2the frequency of the second wave?

  Consider a traveling wsi se0h:n3f3) 4moroeuv+.h yave on a string of length L, mass M, and tension T. A standing wave is set up. Which of the following is truehm+)h: u0n3 viy3 .e eoorfss4?

  A string of mass m and length L is under tension T. The4b/ok+*(fvmya k +du o 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, with nd +kv4kuf o+by amo(*/o change in length?

  A string of mass m and length L is under tension T. The spee k*;5au.eyu rexa9 o)vwl9 bm(d of a wave in the string is v. Wekv()l9 u9*;m5bu.yar eox awhat 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 Lhvem 1jq)sc/:k ris 3, z*fv7s 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 k3vcs :7*f qv)r1is/j h,zsmethe tension is increased to 2T?

  In seismology, the S wave is a transverse w b*jk2q2s v y9(fu18g3bh)jk mx ccdi9ave. As an S wave travels through the Earth, the relative s2dfj* 9gc1b8) 9qc2kj ihbuv kmxy(3 motion between the S wave and the particles is

  In seismology, the P wave is a longitudinad b9wm1xqre +grl;0lvf i8.0ul wave. As a P wave travels through the Earth, the relative motion between the P wave and the particles isu 1ve9xr+llq0dmif;8br0.g w

  The intensity of a wavr vpm +l8+ dat4jq24fkp72goie is

  A wave pulse traveling to the right along nlo w,kp.bmed+ 1rz8md/ vobq/6wp.( a thin cord reaches a discontinuity where the rope becomes thicker and heavier. Wh(d/l+.bvpm onzkpw qrm/d6e b8ow.,1 at is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each other on rsv6 g.xg91 bsa string, one is traveling toward the right and thgsxg9rsb16 . ve 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 string. Thecdo8.vui0 m .p9g- kpg one traveling toward the right has a positive amplitude, while the one traveling toward the left has an equal amplitude in the negative direction. At the uigm.c kdp0og8-. 9vppoint that they occupy the same region of space at the same time

  Resonance in a system, such as a string fixed at both ends, occ8+,mxa-kar aours when

  If one doubles the tension in a violin string, the fundamental frequency of aodw 4qk nw .5kwqr2 s4sgqnc96l;87kthat string will increase by a factow.gk7qnk; 2lcqdnw8ok wq ar6s44 5 s9r of

  What is the spring constant /yez1sltj -c8;j aw b,d7l 9bgof a spring that stretches 2.00 cm when a mass of 0.600 kg is suspended froma/ebl 98ljywbt;c d 1g zj-s7, it?

  A mass is attached to a spring of spring constant 60 N/m along a hori* bjyh o: 7nlf/n96azbiekyk o1(v l4)zontal, frictionless surface. The spring is initially stretched by aoy1 f (ia9:6nb4v*ok/ )ezkl7jln hyb 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 cscd;+f dik8); 5qed lspring 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 seci+fqcd) dl8k5; ;d 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 a hor m8mx :b ag-h5:1k9vn)tgwhv eizontal, frictionless surface. The spring ixm 8n)b9-:h:t w vkahggvem5 1s 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 undergoes SHM. It goes through 10 complete oscillations(ut:ar1*rmn zi a m7nxid.t-) in 5.0 s. t ru( *i1mnd in-:)a.zxt7rmaWhat is the period?

  A mass vibrates back and forth from afhoh8-e z/ c,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 when it is 0.30 m fromc oz,h-hea/f8 its equilibrium position?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m along a horiqjpgxe rd:a( 9n*5i)yzontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s at the equilibrium position. 9pqjey:i *ng (rax)5 dWhat is the total energy of the system?

  A mass undergoes SHM with amplitude of 4 cm. The energy is 8.0 J at this timemwicz:vfz,; ; wg.o p5. The mass is cut in half, m :w;ozvw;i5cf g,z p.and the system is again set in motion with amplitude 4.0 cm. What is the energy of the system now?

  A 0.50-kg mass is att- zj4p-bkpa-8n 4udaq5vt0hy ached to a spring of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion anj-p5y8btuh q4nv0z-a-da k4 pd 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 along a )p izq9 50tmx.q q8azzhorizontal, 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 arez95 ziq qz0x)8tm aqp. the kinetic energy and the potential energy the same?

  A 2.0-kg mass is attachedda9r1bxz u52i to the end 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 total5rxb9 a2d 1zui mechanical energy of this system?

  A 2.0-kg mass is attached to the end of a horizontal spring of s(hbuj 4 l ouiva+))n-spring constant 50 N/m and set into nji)b)uuhaov(-+s 4l simple harmonic motion with an amplitude of 0.10 m. What is the total mechanical energy of this system?

  A mass vibrates back and forth 2 j/mkwhgudr va.+b;/ from the free end of an ideal spring of spring convjhmdgu.2k/ ;/ br+awstant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-andmckw12.4dnbi jl o391mv m j- grorr*dl5 y-k;-spring 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 disp59-d olm4rk ymmb.n*klj2c vro1ij1;-3wrd glaced only 5.0 cm and then released?

  A 4.0-kg object is attached to a spq-vuuk( 6uuzr5sm- ho3v m9 7oring of spring constant 10 N/m. The object is displaced bu -mhzuu96o vs-3ovkm7(ruq 5y
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. nhpq mp *7kd(+mydj9bym8-b0 The object is d0 8d9y (kn+*ymjmm qpp- bdbh7isplaced 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 d*tnav s yce4+9g,9*aema1dj8fof s8 N/m, displaced slightly *nedsaeja , ayff8d9ms8+*1c9o4 tg vfrom its equilibrium position, and released. What is the frequency of its vibration?

  A mass is attached to a spring. It osc:ts k :dc1;xkhqzl i8 q;u: 9bjahp:8oillates at a frequency of 1.27 Hz when displaced a disj l:ak;ph tc8oxq8i b::1zsqku9d :;htance of 2.0 cm from equilibrium and released. What is the maximum velocity attained by the mass?

  Two masses, A and B, are atta7(umc d-c,bzb 6un a z;c5n0vpched 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 maximumc zzp 5-ubbm,vd0(n;a nu76cc speed of A compare to the maximum speed of B?

  A 0.30-kg mass is suspended on a spring. In equilibpk kj;c3j/0 de1as;rn d82q4t s;colmrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an adr/q t0m4ja;cl1 3 2ne;j8dd;skokcs pditional distance of 1.0 cm down and released from rest. Calculate the period of oscillation.

  A 0.30-kg mass is susp liuks71 uu0d2ended on a spring. In equilibrium the mass stretches the spring 2 7 i0luksud1u2.0 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 on a spring. In equilibrium w(f7b+ n)x-:fkt/ 1dqtm+ +rhq wq zdsthe mass stretches the spring 2.0 cm downwardw/b qm1 t+ t (7dzk-q+:nhfxsrfd +qw). 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 following8 2 ny;5eklhpm position versus time equan;mlypk he258tion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following920hef-a7cjx uvg kb w3(0ot; dxl(be position versus time equatbtk 70cho-w d(fuxg b(v9ex2j 3l;e0a ion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic mn(8r).h 6g l; ep*w -uottnynhotion obeys the following position versus time equation:tnup l.)hoy-ghw nre; n*8(t6
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executeg-,fx+u0dc w qs simple harmonic motion according to the equatiof+ qu0gd-c, xwn $y = 0.50 \; \sin (18\pi \times t)$ 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/.k+*9:tsfhn4o sij5 x esv7 9d+guz lsm oscillates on a horizontal, 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 c+ ej+ f4k:x l59n szuv 9io*.s7gsdsthm.)
(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 s;,0 )lqb-euhra ys1( ta3b0se q .-7 xcauloftwings in 8.0 s. (a) What are its frequency and period on Eartel; 7y1cor.q-a (b)t ,sualfte us0 xhbaq -03h?

  A 3.00-kg pendulum isbb7 .8s nh8+fmx/ nvb9+gmxnp 28.84 m long. What is its period on Earth?

  A pendulum has a period of 2.0 s on pisat0hm mj dyt577 o8b2 j)/6sf(qipl oki4: Earth. What is its length?

  The pendulum of a grandfather cloc 2yol wrk9y+golc zqp)s,+9m 7k is 1.0 m long. What is its period on the Earth7yyo l+l cw+9po mk),qzg2r9s?

  The pendulum of a grandfather clock is 1.0 m long. Whs-ra 6gea cx5a)og.401xuq rytu49haat is its period on the Moon whe06uqx4 strorhg5xaa )u1y4e-9g a.c a re the acceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attached to neay(1 tzu ;m)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 0.50-kg mass (same diameter u1)naze y ;(mtsphere) had been attached to the string instead?

A simple pendulum consisting of a 20-g mass has initial angul 9 vm t1o;nx-yrf-;k s;bm8ipnar displacement of 8.0e. It oscxr o 9mn8pysmft;k;;n i--b1villates 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 frequenca*/+ziic;f uic5 /wz ry of the wave is 120 Hz. What is the amplitude? c/i awif;rcz/u5*+ iz

  Figure 11-2 is a "snapshot" of a wave at a given time. The boq5 e- s*gl0as 6)rjtu9k1kr frequency of the wave is 120 Hz. What is the wave6j0-9a ksls*k tqr) bogu r15elength?

  Figure 11-2 is a "snapsh )t es;r37mzzcnd78bzot" of a wave at a given time. The frequency of the waveb7nds;)r z7 zetm83cz is 120 Hz. What is the wave speed?

  What is the frequency of a wa(aesi 5 :bk*xdve which has a period of 6.00 ms?

  What is the period of a wave wiroim8 aiz,: u7th a frequency of 1500 Hz?

  What is the wave speed if a wa0c amqq4azsq k1c8xx3sn; 7p5ve has a frequency of 12 Hz and a wavelength of 3.0a ;mc5z x cnqap41k783sx0qs q m?

  What is the velocity of a wave that has a wavelenga.mr0h2la g3kth of 3.0 m and a frequency of 12 .gaak0r2lh m3Hz?

  What is the frequency of a 2.5 m wave traveling + nzqfj)b 1*zxig ks(.at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is unv/53q5 1ixp9 mxshfawomc4t / der a tension of 1350 N. Whcso5 xq //ip5tv13fah9 4xw mmat is the wave speed?

  A string of linear density 6.0 g/m is under a tension of 180 N.c fca p4a 1 mv;;)p99xbz,tkby What is the velocity of propagation of transverse waves along the string?9a;)4kyp,pz v c fx;mbac19t b

A wave whose wavelength kb v0ik/ etxb( sm)1jx sf)ow343i u:ois 0.500 m is traveling down a 500 m long wire whose total mass is(kw3osx0s 1j): ei/u b3)bot xki vmf4
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 lonf9h ,9rxicc4zlr9wl 2g string fixed at both ends is 200 fch zlxcw4l9r99 2r i,m/s. Which one of the following is not a resonant frequency of this string?

  If a guitar string has a fundamentalk cu714 bq,ocx frequency of 500 Hz, which one of the following frequencies can set the string into resbcu k, q7c4ox1onant vibration?

  A stretched string is observed to have four equal segments in i d(b7d-2d 6 b+4c 0iysgljrnva standing wave driven at a frequency of 480 Hz. What driving frequency will set up a standing wave with five equal segmentc 7i(4b bljis6rdy2g 0nddv-+s?

  A string, fixed at both ends, vibrates at a frequency of 12 Hz with as vk 9d8rwid7ld7 n2e1 standing transverse wave pattern containing 3 loops. What frequency is needed if the standing wave e 1dns w9dr 77lv8kid2pattern is to contain 4 loops?

  A string of linear density 1.5 g/m is under a tension 2srkys;:*e wx50okc aof 20 N. What should its length be if its fundamental re ey: okxwcsk*s2;5ar 0sonance frequency is 220 Hz?

  Find the first three harmonics of a string of linear mass density 2.00 gqf e k2f;q2gx n)g( gkia8om,(/m and length 0.600 m wh;goqi8(f( kg)nk2 ,fe gxaq2men it is subjected to tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. When the string:p7whu9u12t x6(z ;a i xbi yujl;8:c j0fswby vibrates at a freqxjb; jyz hpwu89ui6b(:0 1ac;y lw:sf7uxt 2iuency 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.