The time for one cycle of a periodic prok* u7fny,mdn vq5w2a+ cess is called the

  For a periodic process, the number of cycles per unid1f1vv0qad bk wuct+/bbm 7 +8t time is called the

  For vibrational motion, the maximum displqjom9qntb di n5 s: 7bia4;w*za(e-/eacement from the equilibrium point is called the:/nt 95wz m 4e7-e*n(dbo ;sqbiaaijq

  A mass on a spring undergoes SHM. When the mass (aypb8ly9sx . ,an1cy5s;b rsl;m s f)is at its maximum displacement from equilibrium, its ,b)xnp l;5c rmslb1yfss 9 yay;.(as8instantaneous velocity

  A mass on a spring undergoes SHM. When the mass passes through the erqz8 v,8ptsxmu, (f) bquilibrium position, its instantaneouxuz ,qfmt)s8 (,brv8 ps velocity

  A mass on a spring undergoes 2 u+o wdt1b/2pxk:nxgSHM. When the mass is at maximum displacement from equilibrium, its /bxo2pt :gku n2w1 dx+instantaneous acceleration

  A mass is attached to a vr 2r9n uh); zlxjd,iu7ertical spring and bobs up and down between points A and B. Where is the mass located when its kinetic energy is ar)2, j9d 7lz u;ruhinx minimum?

  A mass is attached to a vertical spring and bobs up and dozhl41welj6bx kx9y5 f-/ibj1 wn between points A and B. Where is the mass located whx 6hf/yixz 4kj1jb9e5- llb1 wen its kinetic energy is a maximum?

  A mass is attached to a vertical spring anrbpzx l3b3g;5 rphi nfy y..84d bobs up and down between points A and B. Where is the mass located when its pob;g.5 3b flprpnh84 ir.xzy3ytential energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down between pointsk vhs1g8yai aj9zc,+3 A and B. Where is k+yihvzg1 8,s aa9cj3 the mass located when its potential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-spring sys- m o1, gbjq/3utcb,amik-ovy igwue8-1 2x(otem produces what effect onbe1xi 8mu3ow-2mgqvkb-ya1-( gu, i/t c ,ooj the system's mechanical energy?

  Doubling only the mass of a vibrating mass-and-spring system produces what exg mn ami*.*zns5;)j effect on the system's mecz*) xse a. jnim;*5mgnhanical energy?

  Doubling only the spring constant of ub/fa6jv87ji c c6t l3a vibrating mass-and-spring system producesfvjb tcl /c663a 8ui7j what effect on the system's mechanical energy?

  A mass oscillates on t6 r cg5wwju 9;2aasmf/g3 j5ojhe end of a spring, both on Earth and on the Moon. Where is the period the gre 9g5wo/j6 jg3;r a52sjacfuwmatest?

  Increasing the spring constant k of a mass-ar;h dm,br., roh7m.ka nd-spring system causes what kind of change in the resonant frequency of the system? (Assumo b;d.mh ,7m kr.ar,rhe no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system causes what kind oqi bf g dm 8b(i2;n ph1nu;svks505u(of change in the resonant frequency of the system? (Assume no change in thndmo s8vb( f2;in ;ipg(sku505b 1quh e system's spring constant k.)

  Increasing the amplitude 8iqr4 q0y/sin of a mass-and-spring system causes what kind of change in the resonant frequency of the system? (Assi0qysi4/8n q rume 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 attached to a weightless strm.k/u ddvni5n 9sn7n)ing of length L. For this system, when undergo79 inuk ns5 /)nmnddv.ing small oscillations

  When the mass of a simple pendulum is tripled, the time )d6yrg7fvt5u required for one completer756fu v)t dgy vibration

  Both pendulum A and B are 3.0 m long. The period ofy8i-uv-8, la7m kvst q A is T. Pendulum A is twice as heavy as pendulum B. What is the period o-7u8st ql-miavv,yk 8f B?

  When the length of a simple pendulum is tri bkvrb7/ .y-tp 1mwnz6pled, the time for one complete vibration i1-ynpzbw b6r7 t.mvk /ncreases by a factor of

  What happens to a simple pendulum's frequencudw8-4ypx ;lqmd;6kd y if both its length and mass are incred ;wpu 8-yl6m4dxd;qkased?

  Simple pendulum A swings back and f(4dted 1m,6sw1jn5l h qbyus1orth at twice the frequency of simple pendulum B. Which se( s 1w41ln6qy1mdt ,bujdh5statement is correct?

  If you take a given pendulum to the Moon, where the acck k;nfk v +l87jl .:s kiu7k4+ov+iefpeleration of gravity is less than on Earth, the resonant frequency of tkun:+k7k4 8jki svel. flkv o+;pfi+7he pendulum will

  Curve A in Fig. 11-1 represenfu )fgewhhol/+ 8/8 g au-tlh7ts

  Curve B in Fig. 11-1 refmo9.l:l4*dxwe, nv05bi)wgy- wb ylpresents

  Curve C in Fig. 11-1 fohk3 .1i;s5lz ss tpr,c)9.dpao s(rrepresents

  For a forced vibration, the amplitude of v1y:7;zc;9ty , reykm yhdq c2/lz2dbtibration is found to depend on the

  In a wave, the maximum displacement of 5j+ 4mr+(qdwa/q,ns l b* grxopoints of the wave from equilibrium is called thesb wrar 5l/*+q4mxqj, d ong(+ wave's

  The distance between successive crests on a wave is ca-owo()gqhy: wz 2 jq3kj)2jh mlled the wave's

  The number of crests of a wave passing a point perfcjoaw 8se4) .;l(arr unit time is called the wave'sl)j4f 8(r a;s erwca.o

  For a wave, the frequen ydq9r3v-v he4mn+j( nxb-, m d3byrapx m0u;1cy times the wavelength is the wave's

  The frequency of a wave increases. 5x3.xh ew 7dgfyv01*q/zg ny rWhat happens to the distance between successive crest1ryfg/57d0w* yvh znxe x3qg .s if the speed remains constant?

  A wave moves on a string with wavelength l and frequency f. A second wave oc(7jt5zf* gn jn the same string has wavelength 2l and travels with the same velg(5nzj jc f7t*ocity. What is the frequency of the second wave?

  Consider a traveling wave on a string of liv7rhz6av8,(dmcy -0 cab 9u db.qr r.ength L, mass M, and tension T. A standing wavc ,cb6 zdmrurh -0air dyv.av8q9.(7be 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 wf)e5idl;lvk 7ave in the stringv5)f edkl 7;li 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 length?

  A string of mass m and length L is under te*z )0,hz b4nyvk+lt ;4ykke cansion 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 2L, with no change ic zknevyt ;kza* b+lykh0, 4)4n mass?

  A string of mass m and length L is under tensj9h /9dos y choigi3r,fsd.cr ::wq 9(ion T. The speed of a wave in the string is v. What will be the speed of a wave in thr .( ccd/qf:gjih39d, h99 os:ir syowe string if the tension is increased to 2T?

  In seismology, the S wave is a transverse wave. As an S wave travels throus s xkbji*px:2xa5 2t+gh the Earth, ikp:2 5txx+x j sb2s*athe relative motion between the S wave and the particles is

  In seismology, the P wave is a longitudinal wave. As a P wave travj r0 qge1m(x0zels through the Earth, the relative motion between the P wave and the particles zqxg (m r01ej0is

  The intensity of a w/j3dz 9tupyb3ave is

  A wave pulse traveling to the right alonkvop25 /h;8 8nydrk pqg a thin cord reaches a discontinuity where the rope becomes thicker and heavier. What is 8nqyo5 kr8h;dvp kp /2the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each m1rf g+v80czu other on a string, one is traveling toward the right and the other toward the left. At the point that they occupy thru cf1gz08+mv e same region of space at the same time

  Two wave pulses pass each other on a string. The one traveling toward td2 p/ 9, f+ycisz2ro0r)dzbi ghe right has a positive amplitude, while the one traveling toward the left has an equal amplitude in the negative directionr g2rydpbs oiz+)9ci/fz d,2 0. At the point that they occupy the same region of space at the same time

  Resonance in a system, such as a string fixedrfv)n s/ ;m ydbi4xcm2wdn )0; at both ends, occurs when

  If one doubles the tension i6kivqa+e( b+ 8qlo8(.sglb;ghaxp+7e ;wnlsn a violin string, the fundamental frequency of that string will increase by a 6 bwl q+plve+ns((7; lshgb8+a. 8 xeqai gk;ofactor of

  What is the spring constant of a spring that stretches 2.00 cmi1y- ld.x* hps when a mass of 0.600 kg is l.ps1 -*xh ydisuspended from it?

  A mass is attached to a spring oaxu-; q 3elf/mt g,rb2f 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 go. It takes the mass 0.50 s to go back to its equilibrium position when it is oscillating. What is/ rx,at-mb 3gqu;2 lef the amplitude?

  A mass is attached to a spring of spring constant 60 N/m along a hork8ca: n(y l)t )f-kqtqjgpo1 8fby6k5izontal, frictionless surface. The spring is initially stretchekp( qakj1: 8t-byfcgl)oqn 8t)k5 6fyd 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 q)g8,t nuvx*vzrm j ,lnmr- *1a spring 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 go. It takes the mass 0.50 s to go back to its equilibrium position when it is oscill ,rutnm-xrq8m v,g1lz*vj* n)ating. What is the frequency of oscillation?

  A mass on a spring u trsgv)c+( rvsduekvz)+u7. 7ndergoes SHM. It goes through 10 complete oscillations in 5.0 s. What isvg7 rezd+ us(.t) u v+rc7kvs) the period?

  A mass vibrates back and forth from the free e.tm6iy n:*xc *eu;i ypnd of an ideal spring of spring constant 20 N/m with an amplitude oem;ixcuy.t**n: yp 6if 0.30 m. What is the kinetic energy of this vibrating mass when it is 0.30 m from its equilibrium position?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m along a horehx:q*yqit99v u3 h8m izontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed o x9hqv *98mth: ieu3qyf 1.5 m/s at the equilibrium position. What is the total energy of the system?

  A mass undergoes SHM with amv6 eb2h ;qgt ah:n;(zuplitude 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 mota6:geu (t b2h;;qvz nhion with amplitude 4.0 cm. What is the energy of the system now?

  A 0.50-kg mass is attached to a spring of springaq6j4n 3pw. ff constant 20 N/m along a horizontal, qanw 3f4pf.j 6frictionless 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 of vibration?

  A 0.50-kg mass is attached to zvgvim* au 4i13t wwyi3mz9*5 yl.f7ka spring of spring constant 20 N/m along a horizontal, frictionless svimg9w*a4z l7iviw1ymty *33 kf u z5.urface. 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 kinetic energy and the potential energy the same?

  A 2.0-kg mass is attached to1-qf(az5ph9g a43jhkmw w x5c 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. -cm4wgh9jk(q1p 3z fwx5a ah 5What is the total mechanical energy of this system?

  A 2.0-kg mass is attached to the end of a horizontal sprin.aazkf8*jbiwb b+-s wme28 j9g of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the totmbjb8ksj ef8 -b*ww i92aza+.al mechanical energy of this system?

  A mass vibrates back and forth from9bby 6*2vamje//vhrd1ku /nt the free end of an ideal spring of spring constant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kinetic energy of/ bb*9rt6 hu dn1kva/yj2mev/ this vibrating mass?

  The mass of a mass-and rzp:(38j5m voob2 cde-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 beb 3vm (5 2zo8rdecj:poen displaced only 5.0 cm and then released?

  A 4.0-kg object is attached to a 6w6spnrefv05nv8 fp/ 0g g +geu1pa 3nkx6)s uspring of spring constant 10 N/m. The object is pnsp 36ff)ux upgnvgn +600/gr56s8 weka v1edisplaced 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/m. The f((v,rv)ohg(pmfh dl -pv4mn6ab24hobject is displ hfm-d64 ),pha4(vmhp v2(oflbrv ng( 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, dj;ka o sdah4lsi2+4d. isplaced slightly from its equilibrium position, and released. What is the frequencs . 4oaj2 4;dskh+adily of its vibration?

  A mass is attached to a spring. It oscillates at a fre,.hg4oc n(ulv quency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What is the maximum velocity attained by the mas,o4lgvn(.c hu s?

  Two masses, A and B, are attached to different springs. Masb9yay,i g n*u oi6t1/u s1evb5s A vibrates with amplitude of 8.0 cm at a frequency of 10 Hz and mass B vibrato a 1in9s,yut egy*51vbb /6iues 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 spring. In equilibrium 87xbfjd9z) jq+ 4f)gc bf/ fkethe mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1)q dz/e c b8x49+f )7ffgfjbkj.0 cm down and released from rest. Calculate the period of oscillation.

  A 0.30-kg mass is suspended on a spring. .pfbu i728dj fs(;aie0ies 3u 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 f a.i(e7jdpis es 3if20ubu8;m rest. Calculate the total energy of the system.

  A 0.30-kg mass is suspended on a sprinu h;mlbk9my*8 6uj ;ivg. 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. Write down its equation of motm9hubijm;ykl 8v *;6uion.

  An object in simple harmonic motion obeys the following potv0 i tmw; 20vyb-2 bta2gawe1sition versus time equt -m0bt12 giv;a 2wv0awby2teation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the foxh3tfv8 qlt5 5llowing position versus time equatt8hv lq3xf5 t5ion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following position versus iz r:x9c-eg*e31zj xhtime equatz gcxz3xe:i r*h1ej -9ion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple harmonic motior ,6h3 ke)fdzyn according te,zy)rh k f63do 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 withk, s )j4+ozbdc hk5uu, a force constant of 20.0 N/m oscillates on a hori+sj k5b4 ),, ukhodzuczontal, 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 complete sw mtnq:r v4fh58 7sk1ei8q *jepings in 8.0 s. (a) What are its frequency and peri: iq4n r 8te 7h*mf1sqejkpv58od on Earth?

  A 3.00-kg pendulum is 28.84 m losb h(t6 yn af1qt1 ut1d.do-1png. What is its period on Earth?

  A pendulum has a period of 2.0 s on Earth. What is iyei;eh0h tb5we,p8*its length?

  The pendulum of a grandfather clock is 1.0 m long. What is its period on the*0xpp*q p e 04ovasj2l Ealop** sj pvqpe02x4a0rth?

  The pendulum of a grandfather clock is 1.0 m long. What is its pe6 mg* tfc80rwariod on the Moon t0cf* a8rwg m6where the acceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists or2szjy-fl d)0gsv .j 4f a 0.25-kg spherical 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 if a 0.50-kg mass (same diameter sph2 .sl z gy)s4v0frdjj-ere) had been attached to the string instead?

A simple pendulum consisting of a 20-g mass has isvm-3hsew; 9znitial angular displacement of 8.0e. It oscillates with a period o; 3h9-szwmvesf 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 wv7x,rgu t4hn)vr;m2 given time. The frequency of the wave is 120 Hz. What is the amx4 g,2n ;wtuvh7rrm)vplitude?

  Figure 11-2 is a "snapshot"r vqfw7qz4s1v v9xj(*n5g u 2d of a wave at a given time. The frequency of the wave is 120 Hz. What is the wavelength9 us jzf*x54 w7v1vq dqgv2(rn?

  Figure 11-2 is a "snapshot"oaq1- 85bp47xjiooqy of a wave at a given time. The frequency of the wave is 120 Hz. What is apo ox5b-1qj87 oiqy4 the wave speed?

  What is the frequency oflt5bljf,m 8b*,v ijb5 a wave which has a period of 6.00 ms?

  What is the period of a wave with a frequency of 1500 1mukh/87qga k Hz?

  What is the wave speed if a wave has a frequency 6d82n pvkcx, cof 12 Hz and a wavelength of 3.0k8 pdn2v,xc 6c m?

  What is the velocity of a q omwg 4bv;+ ;;owpi*nwave that has a wavelength of 3.0 m and a frequency of 12 ;onm;;4 wp bio v+qw*gHz?

  What is the frequency os3bl:c93 1tnt:,d d y 0 i1urwo1c:c(qxtwlsv f a 2.5 m wave traveling at 1400 m/s?

  A piano string of linear io7s ft8) vr.q8q:tmy mass density 0.0050 kg/m is under a tension of 1350 N. What iqf78io:t y.q8mstr v)s the wave speed?

  A string of linear density 6.0 g/m is under a tensio(dwy kl*;v 8jvn of 180 N. What is the velocity of propagation of transl8(vkvj dy* w;verse waves along the string?

A wave whose wavelength is 0.500 m is traveling down a 500 m l n4* t;kgla*ulong wire whose total mass ;lal t g*4n*ukis
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 finhe7eklmbsj51o, -/ uxed at both ends is 200 m/s. Which one of the following is not a reso j/mul5,os hn-e7ke1bnant frequency of this string?

  If a guitar string has a fu / fr2j2gs1k7w iwhpj*ndamental frequency of 500 Hz, which one of the following frequencies can set the string into resonant vibratio2sj12hr pj/ k fwg7*win?

  A stretched string is observexhgajgx13 ,-hqs5ex 7z.gqi 3 d to have four equal segments in a standing wave driven at a frequency of 480 Hz. What driving frequency wilz1egsq53hg ix3 h,xa-g7 qj. xl set up a standing wave with five equal segments?

  A string, fixed at both ends, vibj- (kel2f+: d -wpzc6f.xigy orates at a frequency of 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency is needed if the standing wave pattern is to contai jz.(w p6if f:g-yekd+c-lx o2n 4 loops?

  A string of linear density 1.5 g/m 3f ;dhrbga: f;is under a tension of 20 N. What should its length be f gad3;;bfhr:if its fundamental resonance frequency is 220 Hz?

  Find the first three h: y41jiy(tplqs ee1j 9armonics of a string of linear mass density 2.00 g/m and length 0.600 mjpy 1e9(yi ljte4 sq1: when it is subjected to tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. When tbem*w:0n5un7 in: vx dhe string vibrates at a frequency of 85 Hz, a standing wave wi:7mixuwneb v0*5 :n dnth 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.