The time for one cycle of a periodic process is called tht:h skfh7 n++ze

  For a periodic process, t--paxz jye: ;h; oz*tthe number of cycles per unit time is called the

  For vibrational motion, the maximum displacement from the eql5 +l j4j :o(9nombyjbuilibrium point is called th b+jb y:9l(ojj5lnm4o e

  A mass on a spring undergoes SHM. When the mass ie2kb( 6 sxy5:hux rso(.e qy ,xdd2/jls at its maximum displacement from equilibrium, its instanta(/r:d qy e.so hbd, 2s5xj(2x exlyu6kneous velocity

  A mass on a spring undergoes SHM. W0 nt2 on-1j+j6wkr wjrhen the mass passes through the equilibrium position, its instantaneous veloci0j1+njrjk -town6 wr2ty

  A mass on a spring undergoes SHM. Wh j*kzfxf- 7;q ;a w4gnpfjd65len the mass is at maximum displacement from equil; j; d74lqpzkgfw6x 5f-fn*jaibrium, its instantaneous acceleration

  A mass is attached to a vertical spring and bobs up and 4f1ue g6)y84kom 6cv6lwmqof down between points A and B. W8w gfu 64ovq)416kco6mefmly here is the mass located when its kinetic energy is a minimum?

  A mass is attached to a vertical spring and bobs up and do8x7 * mbzx.jdown between points A and B. Where is the mass located whj d 7xox.bmz8*en its kinetic energy is a maximum?

  A mass is attached to a vertical spr3wr d,hyuqa tnq.1 9(ning and bobs up and down between points A and B. Where is the mass located when its potential energy is a minimu q9( n3dhaqu.n1,wtr ym?

  A mass is attached to a vertical spring anda t6o4k9ctn7aovhr):gonl:7qzr . m. bobs up and down between points A and B. W7 v ttaanmz6hocnq4ol.r9:o7).g:r k here is the mass located when its potential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-an krt50bwp(f; ld-spring system produces what effect on ther(5 fptb k0wl; system's mechanical energy?

  Doubling only the mass o4 i5wxuzs )t+rf a vibrating mass-and-spring system produces what effect on the systemr)5+ zsit4uwx 's mechanical energy?

  Doubling only the spring constant of a vibrating mass-and;;j 1efaen(z te6 ugi6-spring system produces what effect on the system's m; eztng(61jfi6u; aeeechanical energy?

  A mass oscillates on the end of a sprimvzkawv3: 91n ng, both on Earth and on the Moon. Where isnv9zvmk: w 13a the period the greatest?

  Increasing the spring constant k of a ma zhq iqmrq ,e ,bgsdt0y; p6+*jm8v/v1ss-and-spring system causes what kind of change in the resonant frequency of the system? (Assume no change in the syst j 6;r8/ gsitmqp 1,hyedmvv,q*+bzq0em's mass m.)

  Increasing the mass M of a mass-and-spring system cmb+ 2)k5vm 7podi5xt*umu0xo auses what kind of change in the resonant frequency of the system? (Assume no change +*)0i p xumoo725b mxumk 5dvtin the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system causes what-*ebpfaa hh75 kind of change in the resonant frequency of the h-phb7*aae5 f 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 consists of a mass M attachqkdf jedy0) .n5e7*tked to a weightless string of length L. For this system, whenk0 )ektnj7 qy.*ed5fd undergoing small oscillations

  When the mass of a snpbcx .50s.v2rbo 8em imple pendulum is tripled, the time required for one complete vi0 8eobvbmpc rx.ns .52bration

  Both pendulum A and B are 3.0 m long. The period of A is T. Pendulum 7j up oqw,h0n1A is twice as hhp,uq o n071wjeavy as pendulum B. What is the period of B?

  When the length of a simple pe zqhxr-ky /y34ndulum is tripled, the time for one complete vibration increases b-rxhyyq3k /z4 y a factor of

  What happens to a simple pendulum's frequency if both its length and vb4 x ;zfs190yjdfj:xmass are increased?f:xj; 9dfy4zbx0 1vj s

  Simple pendulum A swings back and forth at twice the frequency of sipzv.th7 (rr1xr rlb8+mple pendulum B. Which +rr(x l178pvh tr.rzbstatement is correct?

  If you take a given pendulum to thlg5eqf e,g5/c e Moon, where the acceleration of gravity is less than on Earth, the resonacleg/qeg f55, nt frequency of the pendulum will

  Curve A in Fig. 11-1 repr).rx hg6fkp8nqa8ic1; vmm9wesents

  Curve B in Fig. 11-1 represen8. 3avq 1ja/4dj3zk7w tmf iljts

  Curve C in Fig. 11-1 represen wjw9d,1biad/ 2p: j1(tckdnpts

  For a forced vibration, the amplitude of vibration isww 7p+ fe786)dyufzjx found to depend on the

  In a wave, the maximum displacement of points of the6 9p.dui xx4dl wave from equilibrium is called the wave'.ludxdxi94 6 ps

  The distance between successive crests on a wave is callr+zq ;:ydft4esu:v 1uz 3cs2el eu4- led the wave's

  The number of crests of a wa,4buwr1 x6app ve passing a point per unit time is called the wave'pw u16arxp4,b s

  For a wave, the frequency times thyvja3ro- /lo45g+jj ie wavelength is the wave's

  The frequency of a wave increases. What happens to thy9j/5 +eo z+idgo ew6ve distance between successive crest ew+o5/iz9+ v6yg ejods if the speed remains constant?

  A wave moves on a string with wavelength l and frequency f. A second wave on.j aeg 6t*ps )09adbvy the same string has wavelength 2l and travels with the same velocity. What is the frequency of the seaa.0 9jg)*dyvbts 6pecond wave?

  Consider a traveling wave on a string of length L, mass M, and tension T. A sb0(p0i9u/ l8 e*haotjq,tyi standing wave is qaopl/e itt 0,0bjs8h(iy*u9 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 in the) yz4uvk a)nf* string is v. Wh) k zu4y)nfva*at will be the speed of a wave in the string if the mass of the string is increased to 2m, with no change in length?

  A string of mass m and length L is under tension T. The sh3 y1b.l 6belapeed 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 2L, with 3blhelb 6y.a 1no change in mass?

  A string of mass m and length L is under tension T. Thec)g+clml 7y e5 speed of a wave in the string is v. What will be tlyeg)l5 c7+m che speed of 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 kbgr+31t -jt;x( vgm5 szc3juthrough the Earth, the relative motiogt5+ z;1 mcr g-jxsv3b(ut3 kjn between the S wave and the particles is

  In seismology, the P wave is a longitud7ik,nl/svs i/z *ek1linal wave. As a P wave travels through the Earth, the relative motion between tzk7nslesi v 1,k/*il/he P wave and the particles is

  The intensity of a wav(mg*it05 .wuyrumb v0e is

  A wave pulse traveling to the right along a thin cord reaches a bq8dt2q kbodv:,y1nm/;ru1m8wuq8m0 jw1 bb discontinuity where the rope becomes thicker and heavier. What is the orientation of the reflected and transmitted p,u8m j2v rbd mb:qtnqw8b okq108/db1w;m 1yuulses?

  Two wave pulses with equal positive amplitudes pasgvvs,5 tsw 9:ls each other on a string, one is traveling to5v9gst: vlw,s ward 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 string. The one traveling towkpc wxse7*ov 3p5w7( ward the right has a positive amplitude, while the one traveling toward the left has an equal amplitude in t *p px(k vsww3oew757che negative direction. At the point that they occupy the same region of space at the same time

  Resonance in a system, such fotu v+.x ,/ v,v,kvvmas a string fixed at both ends, occurs when

  If one doubles the tension in a violin string, the fundamental frequency odhx7hk7fo3a)zg2d yz5 . zf +of that string will increase by a ) do7zd5f x 2zhfyhzao+g.k73 factor of

  What is the spring consko r odspmz3f*( *wu2pvsqs )w;0jo//tant of a spring that stretches 2.00 cm when a mass of 0.600 kg is suspendedzodr/o2v p*/uwq 3 (;osp j*sm)f w0sk from it?

  A mass is attached to a spring of 9caks2xaw. , ibf, u, 6qssvd,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 and9kc ssa6 v, s.,ufa2xb,i,wqd 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 horizontal, fr3 sj f(0m)snsk2dy e/vkf3y(gictionlfns ev2gj3y sk k3(sd(yf /)0mess 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 period of oscillation?

  A mass is attached to a spring of spring con kq43x; v3gyl z/m*ice(.kx rrstant 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 mass 0.50 s to go back to its equilibrium position when it is oscim/4; zc3ge .(qkyr r*ixv3 xlkllating. What is the frequency of oscillation?

  A mass on a spring undergoes SHM. It *a k :l-+pjrilgoes through 10 complete oscillations in 5.0 s. What i lji -:pak+lr*s the period?

  A mass vibrates back and forth from the free ent *p4tce 2kruqpm:(i ,d 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 from its:,(umktiepq4*cp r 2 t equilibrium position?

  A 0.50-kg mass is attached to a spri6f5wr u; -g 68k9bsa vnvou(a t+rcxf,ng 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 is the tovf fbk; 8rra vsg66w-ux 5cut(n9o, a+tal energy of the system?

  A mass undergoes SHM with amplitude of 4 cm. The energy is 8.0 J at this timdk -p8.nqrp:qtsn2 m mn*mjzdkd , ;(4e. The mass is cut in half, and the system is again set in motion with amplituqks dpz.r ;( nmkp8nqt4mjn:-,d2*d mde 4.0 cm. What is the energy of the system now?

  A 0.50-kg mass is attached to a spring of spring cov t jvza b3cz,noh 7ee;7s6v.1nstant 20 N/m along a horizontal, frictionless surface. The o37a nb v s;zth7.vcj,oee1zv6bject oscillates 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 szv+/umppe ngaw720pz o3.( ts+h wav:0u8afj pring of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simps72z0 ve ptaw.gp+:a oza0( jhpf3uvunw/8 +mle harmonic motion and has a speed of 1.5 m/s at the equilibrium position. At what location are the kinetic energy and the potential energy the same?

  A 2.0-kg mass is attached to the en.gwafxk2 a;nb ntl2:6d 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 mechanical2batkal;.xfwn :6g 2n energy of this system?

  A 2.0-kg mass is attached to the end of a horizontal spring of sprid5/fyxpu9j 01t nxy8 gng 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 syx1ju n5dxtyyg f89p0/ stem?

  A mass vibrates back and forth from the free end o-)f4af sre9 i: fdobn) pkyr2a(anijv57 5m-bf an ideal spring of spring constant 20.0 N/m with an amplitude of 0. of5mfia e2-dkb fr( a)-:av7p 5)nrny jib9s4250 m. What is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring system is disz;ygtq;toj)p) a .o5j placed 10 cm from its equilibrium position and released. A frequency of 4.0 Hz is observed. What frg; j)pa;t.zy)toojq5 equency 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 constantxn k)1xzep - fjo;y+6o 10 N/m. The object is d-j px)yz;noe1 okf6+x isplaced 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 corrq6u+e cg 0n , ;1,bhwas7vpknstant 10 N/m. The object is displaced b,nev , sw;1acqr hgrpkb76u0+y
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 7vzgd1n26an jydt 6cj*qte/, of spring constant 18 N/m, displaced slightly from its equilinc2nv66djqdje1tay z7,/ t*g brium position, and released. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequency 6v:.,+comtaihm cet 1qxg3l* of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium hmtm cx*geoli :q 63,.ct1a +vand released. What is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to different springs. Mass A vibrate ee :sn vkya9/wz1b4f2/t/vqwbtn 3 x/s with amplitude of 8.0 cm at a frequency of 10 Hz and mass B vibrates with amplitude of 5.0 v/wsqbnt az:9bx w2kt4/eynvf 1e//3 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 sprtbgb 7h +h(bz/ing. In equilibrium the mass stretches the spring 2.0 cm downward. T btz/bbh(7h+ ghe mass is then pulled an additional 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 thed2szzpsyq*53 rvq;b 1 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. szb5 d 2vqr3y;spq1 z* Calculate the total energy of the system.

  A 0.30-kg mass is suspended on aaghx+ (/q-pqff0bm :d spring. In equilibrium the mass stretches the spring 2.0 cm downward. Thm-bh/0dx+g: f(qa fq pe 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 obeyk.6o0nei 7p;ne ;ftnss the following position versus time equatip s.fnt;nek;oen i 670on:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following p8kck(nem- i8 doaxw/.osition versus time equ/ca-n8 omk8id(x. ek wation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following position vf5(0e(rz (xls;f ev ctersus time equation:ev fl(c ;s5fzxe(0r( t
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple harmonic mox 2-y vvmio nk-4*jlcf++vvcn4uhw(:tion according to 42m+ lnwkf-c( vuv:-yh*c+vi4jvon x 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 witsjh ua5wz9my-5j9 1nwh a force constant of 20.0 N/m oscillates on a horizontamz 1y5wsa995-w jjhu nl, 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 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 complethr)0z/v lvn1i* iju2,7:wgsvei k(ene swings in 8.0 s. (a) What are its frequency and period on Eart gw7ni evvuej*nil(vkz)1r,20s :/ hih?

  A 3.00-kg pendulum is 2e mq93e+or)i omis6 a28.84 m long. What is its period on Earth?

  A pendulum has a period of6oe-qb5yt2)1kh vhr. rfxo r- 2.0 s on Earth. What is its length?

  The pendulum of a grandfather clock is 1.0 m long. What is its sos0(x jh,7ao period on the Eart0a, (oj s7hoxsh?

  The pendulum of a grandfather clock is 1.0 m long. What is n(y)b nq s;qigge64k9its period on the Moon where the accelerationg(6g )e 4qykqnns; bi9 due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spher2s musv +hu;o 5*ha 1itjbdz8 0h/oc-zical mass attached to a massless string. When the mass is du/c8 2m;+ sj5 dzuh*ti01v hbs-ozhaoisplaced 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 ae0h8 ih(u8xqv t13b 3njj40e7kl voxa 20-g mass has initial angular displacement of 8.0e. It oscillates with a period of l buk nhi7xj e881(qh3 3a4vex t00ojv3.00 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 fre(ui 2jt+/ 6l6vowo (lkah3lmwquency of the wave is 120 Hz. What ivai(w ht +m/ w(luolko636l j2s the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given time. The fr qte+hni9bw e-4z)y8jsaj6 m :equency of the wave is 120 Hz. What is the wavelengthsa -9 46h8ebwetqy )+njiz: mj?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency of ya w (/ezal2m9hs. oc)the wave is 120 Hz. What is the wavahw.( a)mz2l9ys c o/ee speed?

  What is the frequency of a wave whicg 9-mumxlz 9gir l7mu*7hj;i 5g ngn)+dbt7o8h has a period of 6.00 ms?

  What is the period of a wave with a frequennbf3bmj)wz 0 .cy of 1500 Hz?

  What is the wave speed if a wave has 4 nl2 p1fx pdzsf7sg/.a frequency of 12 Hz and a wavelength of 3.0 2ds s.1fnxfgp4 l7z /pm?

  What is the velocity of a wave that has a wavelength of 3.0 m and a frequency vsl 8b-bron51of 12 H o-8bnlv15br sz?

  What is the frequency of a 2.5 m wave traveling at 140q t4,a :r 6rli4)cgn:i0wf1legly0oakf j2c20 m/s?

  A piano string of linear mass density 0.0050 kg/m is under tr: c -b4++u,gl p+t.tvbqugg a tension of 1350 N. What is the wave spee .gvg+ r4tpqcb+,-u ul:t+b gtd?

  A string of linear density 6.0 g/m is under a tension of 180 N. Whqzs,xj *62m-:b jxsd hat is the velocity of propagx :*sjzmx2hqj -6s ,dbation of transverse waves along the string?

A wave whose wavelength is 0.500 m is traveling dm j* x6xf xku8/ e,ksa:a.vq0pown a 500 m long wire whose total map8x jkvm0:skf.ex6a *,/uq x ass 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 s2zsi 738t4rtdiwxi0u tring fixed at both ends is 200 m/s. Which one of the following is not a resonant frequency oi rti4i0u7 tzs8dw2 3xf this string?

  If a guitar string has a fundnwzi2)m d1 s,zamental frequency of 500 Hz, which one of the following frequencies can set the string into resonant vib2znwz ),d m1isration?

  A stretched string is observed to have four equal segments lbg6y z0rh5j: 4tvns1r 2te4zin a standing wave driven at a frequency of 480 Hz. What driving frequency will set u24rjtn:b0y lhg 41 zv6e5 tszrp a standing wave with five equal segments?

  A string, fixed at both 5 4(o rmbtx(qz)ep p)wends, vibrates at a frequency of 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency is needed if wp)opq)rxz(5 4t m e(bthe standing wave pattern is to contain 4 loops?

  A string of linear denql:f 5t nbl+p22xp nh6/ /apfysity 1.5 g/m is under a tension of 20 N. What should its length be if its fundamental resonn:nffl 6/ +p ylxhpb/5at22 pqance frequency is 220 Hz?

  Find the first three harmonics of a string of li wg7d0q1- herilrj90z near mass density 2.00 g/m and length 0.600jd h07ziw r-gre9l 01q m when it is subjected to tension of 50.0 N.

A string of length 2twy1 53h,kcu .f )orlx.5 m is fixed at both ends. When the string vibrates at a frequency of 85 Hz, a standing htoluf.1wyc xr,)k3 5wave 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.