The time for one cycle of a periodic process is (99dpqje.z8-xd pe srcalled the

  For a periodic process, the number of cycles o9rb5d79bojv 7w ( 2.ey6sjlgekoq.nper unit time is called the

  For vibrational motion, the maximum displacement from the equ 4 4pn,d)4ebxyema8 g(vaxek,ilibrium point is cal(gm4xnkv4xd,8a4pe) e ay be,led the

  A mass on a spring undergoes SHM. When the matl 88;usrp:sd yi 0ih:niy/;m ss is at its maximum displacement from equilibrium, its instantan;ihirpu:ysdl 8 ;si t/0:yn8meous velocity

  A mass on a spring undergoes SHM. When the mass passes through 9i, aloxl*;lu the equilibrium position, its instantaneous vuiol*l , xl;a9elocity

  A mass on a spring undergoes SHM. When the mass is at maximum displacement f8ou9h)6kmdv auf , dzar* 3iv.eb,i6trom equilibrium, its instf,h)*dd iiu9 38,6rkv6 .vebma uazotantaneous acceleration

  A mass is attached to a vertical spring a* bgzw lw(nl.)nd bobs up and down between points A and B. Where is the mass located when its kinetic .b)z glwl w(n*energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down between yp5ne +;31bn foal-kfpoints A and B. Where is ;-bfol aknep3fn15 y+ the mass located when its kinetic energy is a maximum?

  A mass is attached to a vertical spring;6 sywhcw j:ik s ci-dxvrd;1)2rg5f: and bobs up and down between points A and B. Where is the mass located w iy :1j- :2chgwk;r;6 rsvwc 5xsd)dfihen its potential energy is a minimum?

  A mass is attached to a vertical spring and bobs up and s caorqr1bs7n8sd5ofg n 6e6 0wl:f.3down between points A and B. Where is the mass located when its potential energy is a max3fdf6os:s eon1ca8q. 6rsbngrl7 w05imum?

  Doubling only the amplitude of a vibrating mass-and-spring system produces wk5g.q h +esgbf9eq3h..su;smhat eff.9g k ehgm3eus sqs+bq ..h;f5ect on the system's mechanical energy?

  Doubling only the mass of a vibrating mass-d(, k.,r, m vtiq g))txij/oakand-spring system produces what effect on the system's mecd i,m, qrx, ok ai.j)vg()/ttkhanical energy?

  Doubling only the spring constant of a s:qbn: gue3o:tk .xo/ vibrating mass-and-spring system produces wt/q3 be nkgox:: o.:ushat effect on the system's mechanical energy?

  A mass oscillates on the end of a spring, both on Earth and on the v)3 2ty 2mdasb0zyck6Moon. Where is thkcv)z sayy203 t 62mbde period the greatest?

  Increasing the spring constant k of a massi-b *mbk578yt an4t1iscj1gd -and-spring system causes what kind of change in the resonant frequency of the system? (Assume no change in the sysadji7y51*8 b-b tcin41mkstg tem's mass m.)

  Increasing the mass M of a mass-and-spring system causes what kindwa6tc+m wnj m2-k z4s+ of change in the resonant frequ-tw6mz 2km+4w acs n+jency of the system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spr 4 gbly vhf1,q8h51+ czcad 6yg0mxej4ing system causes what kind of change in the rebyyx, g1v de0g48 1h6amflc4zqc5 j h+sonant frequency of the system? (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 consist0ieq lcbq* 3(*lkzt w;s of a mass M attached to a weightless string of length L. For this system,*zqe * ;(0klqlcwitb3 when undergoing small oscillations

  When the mass of a simple pendulum is tripled, the time required for one co;w0.4p zkik+h7;ywg dkc yv t.mplete vibra+..h dkk;vwp cky40z;i 7g tywtion

  Both pendulum A and B are 3.0 m long. The period of A is T. Pendulum A is twice ngr7 ii3f7v ( btp)7yhas heavy as pendulum B. Wha7yginf ivr(7t7b 3ph) t is the period of B?

  When the length of a simple pendulum is tripled, the time for one complete vibrpd.jf y/qg 04glu;j m.ation increases by a facto jq.40g y.f/;pju lmgdr of

  What happens to a simple pendulum's frequency if9bpd aloj m+g*: f0,l+kjb0q b both its length and mass are increabkmg djq*b apl+, :+0jl0fb9osed?

  Simple pendulum A swings back and forth at twice thenh o) z(i3;ghs frequency of simple pendulum B. Which statement (ns;hoi)gh3z is correct?

  If you take a given pendulum to the Moon, where the acceleration - op)puc5qtd (of gravity is less than on Earth, the resonant frequency of the) upo cdt-q5(p pendulum will

  Curve A in Fig. 11-1 represek)9mzdw , ,bv l5u*;gir opzi9nts

  Curve B in Fig. 11-1 re-mz3jr:tw(.ydq gq+ spresents

  Curve C in Fig. 11-1 repvbenp/j:12fmgy0 qp 1n7.joqresents

  For a forced vibration, the amplitude of vibration is fou4d mps8 gb5sk0nd to depend on the

  In a wave, the maximum displ4x: r;nfotz(f acement of points of the wave from equilibrium is called the wa4oftf :x n;r(zve's

  The distance between successive crestt onen(.0jw, kn:ql3k 8 z:6zikygtg,s on a wave is called the wave's

  The number of crests of a wave passing a point per unit q-kg (m 2aos1r xyzu28time is called the wave'kxz- s8(aoq 21umyr2g s

  For a wave, the frequenw :zn ecru(c,)cy times the wavelength is the wave's

  The frequency of a wave increases. What happens to the dihyfpku0f -13 kstance between successive crests if the speefhyfp -u3k k01d remains constant?

  A wave moves on a string with wavelength l and frequency c 1ku(8d(if1m c* ahkqf. A second wave on the same strin1u ikfa(q dc1k(8*ch mg has wavelength 2l and travels with the same velocity. What is the frequency of the second wave?

  Consider a traveling wave on a string of length1m clhx-t +b(b L, mass M, and tension T. A standing wave is set up. Which of the folmbc (lb1txh+- lowing is true?

  A string of mass m and length93o(xc, sjmk d 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 mass of the string is increased to 2m, with no change s,ckx9 o(djm3 in length?

  A string of mass m and length L is under tension T. The speed of a wave in tu(bi5 r b0.xjqezfa+0 he string is v. What will be the speed of a wave in the string if the length is increased to 2L, with rji0( q+z5fb beu0xa. no change in mass?

  A string of mass m and length L is under t t33yy noeo)8*e cap4r m4cb9jension T. The speed of a wave in the string is v. What will be the speed ofe cro4pjbocy*amt 38 94 n)e3y a wave in the string if the tension is increased to 2T?

  In seismology, the S wave is a transverseznkje63) vi t, wave. As an S wave travels through the Earth,j)ev3 nk,z i6t the relative motion between the S wave and the particles is

  In seismology, the P wave is a longitudinal wave. As a P waved pghqm g97k2jn4.)rw travels through the Earth, the relative motion between the P wave and the particleqgngd hjk .)w 9472prms is

  The intensity of a wave)o:n2 aull q/iv/ pt2ccryj.fr q-4k( is

  A wave pulse traveling to the right along a thin cord reaches a discontinui89+sxzl67 m:)ewd b qb +ydmufty where the rope becomes thicker and heavi7um8dy)eq9 ws6 z lfd: +b+bxmer. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes7*hi bx* +mjmt0.hnha pass each other on a string, one is traveling toward the right and thna* 7tjhbh0*m mix+. he 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. The one travelr 8/8ftx(uzbzrx)mi +ing toward the right has a positivr fu)8r(b /zi 8zxt+xme amplitude, while the one traveling toward the left has an equal amplitude 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 ends,+zjz qro2f3alaz*u)1 occurs when

  If one doubles the tension in a violin strin4dj o/k o7au:qg, the fundamental frequency of thatok:7a/j q4 odu string will increase by a factor of

  What is the spring constant nb ngk2qgy0 .4xd7+ zrof a spring that stretches 2.00 cm when a mass of 0.600 kg is suspended zxy . +4nnd20kq7g brgfrom it?

  A mass is attached to a spring of spring constant 60 N/m along a hoo-n+*8u33fg6j4of(cidg tvzsfxm.r ol /cd(rizontal, 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 i8/(l i dndou63*xo v+otc-fgc.j(rfsm 4z3gfts 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 horizont+zi/lq4hij-(7;mm. fr aihxt al, frictionless surface. The spring is initially stretched by a force of 5.0 N on the mass and le. +qh;rmh i jm/f- 7itxlza(i4t 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 horizontal, fri4osb x44ua6rkctionless 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 u4xsrobk6 4a4 when it is oscillating. What is the frequency of oscillation?

  A mass on a spring u4 i1t4c:reh;gcp (scn ndergoes SHM. It goes through 10 complete oscillations in 5.0 s. What is the period 4ins cpc;rcgte4:(h1?

  A mass vibrates back and forth from the free end of an ideal spring1wfpu ,0pko5* k f9 p*bhv)zyz of spring constant 20 N/m with an amplitude of 0.30 m. What is the kinetic enerh*z bkfo9*y1) u p,f 0wk5pzpvgy of this vibrating mass when it is 0.30 m from its equilibrium position?

  A 0.50-kg mass is attached to au3s rqqd zqlipga8) c -b.2)b3 spring of spring constant 20 N/m along a horizontal, frictionless surface. Thl-)2b iz3 qgqsa qr. c83dbpu)e 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. nv)kico2*ctcux6cx 00, wrw6 The mass is cut in half, and the system is again set in motion with amkxcrtn u6) c*oi0cc x,vww026plitude 4.0 cm. What is the energy of the system now?

  A 0.50-kg mass is attach2 qm ..dwff)nced to a spring of spring constant 20 N/m along a horizontal, frictionless surface. The object oscil q.md).nf wc2flates 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 st smwi1a(h7 jx8 9sx *sdt34)ye txaiu5t9 x1apring 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. At wht(5t1 m 78ii3jtax9sh)dya* 91x4se x uwat xsat 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.eel(bu- eo3z 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.3-uebe l o(ze this system?

  A 2.0-kg mass is attached to thfoyke ,nkmzjthve9lnk: 3(xf-kq3k n22p*)3 e end of a horizontal spring of spring constant 50 N/m and set into simple harmonic motion with fo)* e nl33:pn39vhn,yzkk-2(m kjtxq ek 2kfan amplitude of 0.10 m. What is the total mechanical energy of this system?

  A mass vibrates back and fvg-h+a;r2ud a,rq*sx orth from the free end of an ideal spring of spring constant 20.0 N/m with an amplitude of 0.250 m. Wha auqx *,2vsrgrd;-h+at is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring system z:x19usl5tgl 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 displa:x5 gsuztl91lced only 5.0 cm and then released?

  A 4.0-kg object is attached to a spring of spu c,xk6zp l*.1pm0d waazu.; cring constant 10 N/m. The object is u.kp. zu0*; al,x ccd6zm 1pwadisplaced 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 .7bdi.* lndq( bzyedu swo:hr3 4th5+ spring of spring constant 10 N/m. The object is displhzul:.db3 *idswdqen5 t y74(rhb+o. aced 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 sligh+pfj r0,ga9pq2o f*( )kxth xstly from its equilibrium(9g x*+s, j ofa)p2trfxq0hpk position, and released. What is the frequency of its vibration?

  A mass is attached to a spring2qanpt nja32 nh-.h)g. It oscillates at a frequency of 1.27 Hz when displace -nt.npjh a2h3ga2q)nd a distance 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 with e sbyn3xt6mmja:-,cikxj))1 amplitude of 8.0 cm at a frequency of 10 Hz and mass B vibrates with amplitu)sb y jtjekaixc3nx:1, 6-m )mde 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 equilibrium the mass stretches thez2* d vj;2ib ;wcqewh5 spring 2.0 cm downward. The mass is then pulled an addi chqzwjdbiv;2*w ;e52tional distance of 1.0 cm down and released from rest. Calculate the period of oscillation.

  A 0.30-kg mass is suspended on a spring. In equilibrium y abwq); 4k;crthe mass stretches the spring 2.0aq)k;b4c ry w; 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 the mass stretches thexi-p ;fygyx9 )8,n kch spring 2.0 cm downward. The mass is then pulled an ax ;fkix c-ph y8,g9)yndditional 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 poqj vny(g7q:odt ,1* e g(3m y+vip*zqjsition versus time equat(*zjyij 7+o:mgd1 gpyq,eq3*t nvq(vion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following position versus time eq4dmvqu*:rlk -j-a 7 vnuanvdk*7au lr - 4vm-qj:tion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following positi4v l )68 ghwvkle2g:gron versus time equati )l:kg wlh6gg4er v8v2on:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple harmonic motion a i0 tzqs,n5f*lccorft*,qn0s i5 zlding to the equation $y = 0.50 \; \sin (18\pi \times t)$ 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 forcj,58w7l :2ae xt f3tcz8ebuxhe constant of 20.0 N/m oscillates on a horizontal, frictionless track. At t= 0, the mass is released from rest at x= 10. jec 7f3e258a:bt,8utxzwxlh 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 o4wgr50z)t*gtgm9 iv 8.0 s. (a) What are its frequency and pe rw)vt omtz 5gi*409ggriod on Earth?

  A 3.00-kg pendulum is 28.84 m yh v4 dxfu,z9o ,ei5,ll6pf5olong. What is its period on Earth?

  A pendulum has a period of 2.0 s on Earlbgguz u6pk(6(mi,bz3op l v sg/86 -fth. What is its length?

  The pendulum of a grandfather clockro: z34m 9w ( usqhfg+di9v5xq is 1.0 m long. What is its period on the Earthr z: vgwm5x49(qoq+ ifu9hd3 s?

  The pendulum of a grandfather clock is 1.0 m long. What is jev:psgn4 .5epgq6)k its period on the Moonjqng6s g)pe:.5v4 kp e where the acceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg scbu-j-:dbr3t a b.2d2jyd3 nlpherical 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 Hz. What frequency would have resulted rnj2dj3 -b3d2yt-c bl dua:b. if a 0.50-kg mass (same diameter sphere) had been attached to the string instead?

A simple pendulum consistingsckl) y3b4h1 t of a 20-g mass has initial angular displacement of 8.0e. It)sb1lh3t c4k y 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";6adzbocqf 4/v.atq 9 of a wave at a given time. The frequency of the wave is 120 Hz. What is the atb.zao c q/;qv49a6fdmplitude?

  Figure 11-2 is a "snapshot" of a wave at a given tfs.* m,d1 ijdhr xg0+mime. The frequency of the wave is 120 Hz. What is thidgm xhd10,fj+.s r m*e wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given time. The freque l 1o geyz4 eop:ireyykr-2:97ncy of the wave is 120 Hz. What is the w2yzrkyl7r e4 e po9g1e:yi- o:ave speed?

  What is the frequency of a wave which has a period of gk d(ddowp12 +ukk02e 6.00 ms?

  What is the period of a wave with a frequency o(jc e j5 b9)epevtk-(nf 1500 Hz?

  What is the wave speed if a wave q oiz8fw1 c268 azylune+luspa j42lz6 /f ,p9has a frequency of 12 Hz and a wavelength of 3.0 m?1qflp cp64uywo8l,z a2/ zzjn+u 9l2ei6f8as

  What is the velocity of a wave th j-kum(8j1cekod9(f tat has a wavelength of 3.0 m and a frequency of 12 Hz(mcje9du1-ok jk8t f (?

  What is the frequency of a 2.5 m wave travelinyp n09;r-i39x)h; d witlhqcm/lyip2 g at 1400 m/s?

  A piano string of linear mmglf:ecd ,/i ,ass density 0.0050 kg/m is under a tension of 1350 N. What ied cmf i/g:,,ls the wave speed?

  A string of linear density 6.0 g/223 dgbmkujy:hqzv. 7m is under a tension of 180 N. What is the velocity of pr:7jb22qg.3v kumhd zy opagation of transverse waves along the string?

A wave whose wavelength is 0.500 m is traveling down a 500 m long wire whose p 1 4yws:a dra5men*d+total mass ise r5d*ya 4maw+dpn1s:
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 transve5 u llkqsm ,7d(ruca2ut0q6q2h4mtb2 rse wave on a 2.0-m long string fixed at both ends is 200 m/s. qcur(6h2q2q7ltb2m u t usm ,54k0 dlaWhich one of the following is not a resonant frequency of this string?

  If a guitar string has a ftt guxt5 9op4h3i zjvbs1h(2 .undamental frequency of 500 Hz, which one of the following frequencies c ih ts4v1bh3g tz(9tpu xo52.jan set the string into resonant vibration?

  A stretched string is observed to have four equal i)g-7)m jl.v3hq) en if4ulfcsegments in a standing wave driven at a frequency of 480 Hz. What drq)-n7ihvufl cje )fg4l i).m 3iving 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 stan;7f6 ;sj 8bylx+ gq4 sfxyul/ading transverse wave pattern containing 3 loops. What frequency is needed if the standin4gx6jsb/8 fu ;fxlly yas7+;qg wave pattern is to contain 4 loops?

  A string of linear de,rft+;j7* cm avwogs 9nsity 1.5 g/m is under a tension of 20 N. What should its length be if its fundamental resonance frequency iss, jmta;w+ gcf7r9* ov 220 Hz?

  Find the first three harmonics of alrk6-,//)lrrh)thtkz em fso7fh+e 2 string of linear mass density 2.00 g/m and length 0.600 mm frehr)-6k2/+z)/htlhto7k ,r elsf when it is subjected to tension of 50.0 N.

A string of length 2.5 m is fix2 eo)eh/j fa +4m 8x,7zzlhsvqed at both ends. When the string vibrates at a frequency of 85 Hz, a standing wave with fiv 4,mx svzhj2l ze8+)f7o ha/eqe 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.