The time for one cycle of a periejs)vs j6:v) 0ceda72)ih mh vodic process is called the

  For a periodic proce)1 gnihf-vailsw18 vc 0nz z75ss, the number of cycles per unit time is called the

  For vibrational motion, the maximum displacemetxi d6 rl6kq0eomb,. f njy.56nt from the equilibrium point is called theoejq,6d mn5.66xl. bti0rk yf

  A mass on a spring undergoes SHM. When .zogju z31jl3 the mass is at its maximum displacement from equilibrium, j.oz 1gzl j3u3its instantaneous velocity

  A mass on a spring undergoes SHM. When t yr)0 pu(9wlrghe mass passes through the equilibrium poslyg w)(rp9 0ruition, its instantaneous velocity

  A mass on a spring undergoes SHM. When the masssnne2v +q7oh(f ak9y / is at maximum displacement from equilibrium, its instantaneous accele7sq(9hv eony+a /f2n kration

  A mass is attached to a vertical spring and bobs up and down betwebxooa7)b nm(fha:vv,:frf+ / en points A and B. Where is the massv +orv:7f:(aamxfb)b f ,ohn / located when its kinetic energy is a minimum?

  A mass is attached to a vertical spring aqwgxu6( tltubwn c---4 l 3l;xnd bobs up and down between points A and B. Where is the mass loca;lg -nlx wq-xlt-uu(4t6b cw3ted when its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up and down between points Aivbiot6p-*r*mzzlzz- 6r ;c5 and B. Where is the mass loci l5tzbzz -r6z;impvco*r6 - *ated when its potential energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down between points A qn p dc)7oy0zz.. nx:handoycdhq.:nz0 xz7). np B. Where is the mass located when its potential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-spring syfxe n.-x abn3wr.4 -zln4j q.jstem produces what effect on thej z.r4 . qln xj-f34-e.nnwabx system's mechanical energy?

  Doubling only the mass of 6* c kseq kzja6s(9(df 9j*xqqa vibrating mass-and-spring system produces what effect on sk (a jqs 96z fx6dk(qqe*j9*cthe system's mechanical energy?

  Doubling only the spring constant of a vibrating masstf;(nx/vkw3-4t1f p/pp *vqbp a3kof -and-spring system produces what effecfo pt;4n /ff3a v (vpwk/t3x*qpp1bk-t on the system's mechanical energy?

  A mass oscillates on then 32+sbo 1vl:8etgnfw end of a spring, both on Earth and on the Moon. Where is the period the sb 2fo :g+1tvlnenw38 greatest?

  Increasing the spring constant k of a mass-and-spring system causes what z;(z ed(+ uhfnaex/m/ kind of change in the resonant frequency of the systeafm +nzd/; e/xhz((eu m? (Assume no change in the system's mass m.)

  Increasing the mass M of a mash1r ubogk+a +;hst/e2 s-and-spring system causes what kind of change in theghr +k+;ute s2ab1/oh resonant frequency of the system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of7moaq4t)rdgme g+-t/ fz m88,t7.q/u pjgapd a mass-and-spring system causes what kind of change in the resonant frequency of the system? (Assumeufm)ag ,mg/g4d7qo8qa 8/z-r.e7pt+jt tmd p 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 tp 4f;rd 0f ucroymg-9:o a weightless string of length L. For this system, when undergoing small oscillati:f ud9pc-;yrmo r04f gons

  When the mass of a simple pendulum is tripled, the time reww k7v 7ni6 go)4y9wqdw*ck6*vbv ok;quired for one complete v7bnigqow ok*y6k vw;)69vw vk4cd 7*wibration

  Both pendulum A and B are 3.0 m long. The period of A is T. Pendulum A is twiht+ctmq7c*kn 8 y6r k;hye-s+ox81 to ce as heavy as pendulum B. What is the per8trm tkq-*ox1sc oe;h+6n yth7k c+ y8iod of B?

  When the length of a simple pendulum mvdh teisj :)b:6rxe8u(0 dt,is tripled, the time for one complete vibration increases by hd:ts08ie x(: vtdmbuejr) ,6a factor of

  What happens to a simple pendulum's frequency if both its length and mass ar4 1* n4.nmh4vosdkoia0t3 q wwe incre d 4w14qhm0v noi*nat3kws.4o ased?

  Simple pendulum A swings back and forth at twice )rgcn3q6 ye2o t6l6ce rf:rs7 the frequency of simple pendulum B. Which statement is co7c6s6frte)c n2 e grr36lo: yqrrect?

  If you take a given pendulum to the Mb:y7nm ;7i fxrzdu b4g8d*z , gr+u+ygoon, where the acceleration of gravity is less than on Earth, the 8g;zry 7 4fd*ggx+ ibu :yu7d,bmn+rzresonant frequency of the pendulum will

  Curve A in Fig. 11-1 cch1s cmt c ii)x+,:acawa0. )represents

  Curve B in Fig. 11-1 repr. /5*qvr bqlsoesents

  Curve C in Fig. 11-1 represenpd i7/zzml7tzunkv/p c3nq1 l648 pz(ts

  For a forced vibration, the amplitude of vibrationi1 i;6ns8pgnk ,5hw 8po ghew5 is found to depend on the

  In a wave, the maximum di5r3or8ofs9wdp ,/t bww;2guso3u*ro splacement of points of the wave from equilibrium is cal*d/ w3bt9ws 8ur p;o r, w23orufso5ogled the wave's

  The distance between wa.(-9w* uvazh 5jv yu18ac sbsuccessive crests on a wave is called the wave's

  The number of crests of a wave passing a point per unit 6k8)r)gjwoa(f lj;h e time is called the wave's e ()owj8f)r 6lkgj;ah

  For a wave, the frequency times the wavelength is a i64qr .+ell1r ahwt2the wave's

  The frequency of a wave increases. What happens tv.zpp47h+zfrlb) 6-f3ysn i h o the distance between successive crests ifp .zizb4f -nvr3 s)+7hlyphf6 the speed remains constant?

  A wave moves on a string with wavelength l and freque(rss;wlqm4j7gpz-a.v v 1yk) o 7ce( cncy f. A second wave on the same string has wavelength 2l and travels with the same velocity. What is the freqc)4z kvy pm1; q(c lvargs7s j(we7.-ouency of the second wave?

  Consider a traveling wave on a s. ws1mbq -.lo1nzbg2oc2t kx-tring of length L, mass M, and tension T. A standing wave is set up. Which of the fol2m1obqwznks-1bgl 2 - c .tx.olowing is true?

  A string of mass m and lengtdi 7gq.a17o1t0l 83+ yhzaybr p pfmw4h L is under tension T. The speed of a wave in the string is v. What will be the speed of a wave in tp7wog+lqp413z.m dybafy0i7a r8 ht1 he 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:b3 ug3+b dcot tension T. The speed of a wave in the string is v. What will be the speed of a wave in the string igb3:b3d u+tc of the length is increased to 2L, with no change in mass?

  A string of mass m and length L is undei 7on jq,e9xx6r tension T. The speed of a wave in the stq,6i9e no7xx jring is v. What will be the speed of a wave in the string if the tension is increased to 2T?

  In seismology, the S wave is a transve-j .(b*ucmk yerse wave. As an S wave travels through the Ea(*jmb -c ky.uerth, the relative motion between the S wave and the particles is

  In seismology, the P wave is a longitudinal wave. As a P wavg, vuaep0)s2co s, m:5enref( e travels through the Earth, the relative motion between them0 ufanpgss )2r5 e:c oe(,ve, P wave and the particles is

  The intensity of a wave is s;ain ovdt24 h :jg900.vppbh

  A wave pulse traveling to the right along a thin cord reaches x 5rt:u gvbk6k2h.l2k a discontinuity where the rope becomes thicker and heavier. What is the orientation of the reflected and transmitted pulsv k:gu2tlkr5 .b62hkxes?

  Two wave pulses with equal positive amplitudei ;x.lbp( s5zb: jt0jws pass each other on a string, one is traveling toward the right and the other toward the left. At the point that they occupy the same region of space a5(bx stp.:z0l iw;jjbt the same time

  Two wave pulses pass each other on a string. The one travdr8a1vx2 .k nnyt d4tax9ft9rk- .1j reling toward the right has a positive amplitudr8a 9ntx9 k1xtr y1 jtr vd.a-k2d4.fne, 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 boy8e nqa (,f/hvth ends, occurs when

  If one doubles the tension in a violin string, the fundamental frequc*6e1 cy(egm lency of that string ey 1( 6gmcl*cewill increase by a factor of

  What is the spring constant of a spring tm3 o o+g8yar5ehat stretches 2.00 cm when a mass of 0.600 kg is suspendaoyg5e3om+ r8ed from it?

  A mass is attached trkk,-pnx bij*-f;0 kc o a 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.fjr k,-xpbkkcn-*; i0 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 constan 5nmu x1ds(r0z. i-fsie )d;gdt 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 m in1;( d d feid.gx-)srsuz50oscillating. What is the period of oscillation?

  A mass is attached to a spring of spring constant 60 N/m along a horizontanf/b/h-eyg c2 l, 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. /egnf2ych-/ bWhat is the frequency of oscillation?

  A mass on a spring undergoes SHM. It goes through 10 complete osc+pu7 k czkr1;pqc k b*;0dblf4illations in 5.0 s. What is rp 70lq4;*+c kp1 bcu;kzdfkbthe period?

  A mass vibrates back and forth from the free end of an ideal spring 07pmw 2 o*fhhuof spring constant 20 N/m with an amplitude of 0.30 m. What is the kinetic energy of this vibrating maumfp702 wo *hhss 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 horq0 *dsg*aw3i wvy w0/1tqyzl4izontglysw*4 /w i0ay0d31qw q*tvzal, 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 aq7kzt6 5u mrxtvh6. (kt this time. The mass is cut in half, and the system is agamkq 5rzx vth7 utk6(.6in set in motion with amplitude 4.0 cm. What is the energy of the system now?

  A 0.50-kg mass is attached to a spring of spr d8,u pt.llti -(kcos8jm68nbsw l56zing 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 tsum6o(s8 ll8l8tc- 65jk .bni,z wdpis the amplitude of vibration?

  A 0.50-kg mass is attached to a spring of spring constal/w4j3jt 7z,.dbi q tqnt 20 N/m along a horizon7zj/ b,4 l3jqwd q.ttital, 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 kinetic energy and the potential energy the same?

  A 2.0-kg mass is attached to the end of a horizontal spring of spring c7al6 nz+fk/huonstant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the total mechanical energy of thlk7u6anfh/ z+is system?

  A 2.0-kg mass is attached to the end of a horizonta7d3dz7ypi g(ml spring of spring constant 50 (m7g z3pydd7i N/m and set into 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 from the free end of an ideal spriez h24-4pocga ng of spring constant 20.0 N/m with an ace p 4ago-4z2hmplitude of 0.250 m. What is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring system ct;j7 :j3ex c4*tdpxois displaced 10 cm from its equilibrium position and released. xj3o xe;*c:t4t7cjpd A frequency of 4.0 Hz is observed. What frequency 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 spr,4-x8syjx01x)kd qs g5dlohs etfk+ dp:p 0. ting of spring constant 10 N/m. The object is displ5-t :d+, d s tj1gdfxqox h0lks. p80spke4xy)aced 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 con r/g k: /fy2f3sjq;xtkstant 10 N/m. The object ikf2kxg;yt fs/qj/ 3r:s 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 u+r:q7b6cp (ro8co ruconstant 18 N/m, displaced slightly from its equilibrium positioc :q(c r8uo r7+up6bron, and released. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequency of 1.y,wuz w+7k)h r27 Hz when displaced a d)uwzw y+rh 7,kistance 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 * o0iol/lqkod1+mf ,u with amplitude of 8.0 cm at a frequency of 10 Hz and mass B vibrates with amplitude o o1o,fo d*qu+0 ll/mkif 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 str ffc*gjp* )t*eetches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and released from ce)gtjfp***f rest. Calculate the period of oscillation.

  A 0.30-kg mass is suspended on a spri:6r )jdg n :h)wlwpsi8ng. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additiow):)nwgld6i:jhr8 psnal 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.ssv:e)-d1y:fy zv-v d In equilibrium the mass stretches the spring 2.0 cm dodvfez1vd :: )vsy-y -swnward. 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 following positiobeb1g 7u6ip2rn versus time equaiebp6 g 1u2r7btion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obe.2j4wh;fnqmfae3 3-ea7v2;mly mxy vys the following position versus time equ;nefxhf -7w.a;2vm 2m lmv yey4 3j3qaation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion ob.h;cd sx9myiub3i(8h g 0v 5kseys the following position versus time equation:by93v 8iuh0i( s m.gc5d;h kxs
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to thpudjv o c z+tr:ti,545e free end of a spring executes simple harmonic motion accordt5c:pvtdurz o+i 54,j ing 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 force constant of 20.0 N/m x:xi0 /7uwuavoscillates on a horizontal, frictionless track. At t= 0, the mass is released from rest at x= 10.0 cm. (Tiuauwv : 7xx/0hat 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 8.0 s. (a) What are its frequency and j xqc /qo zn5fe7 zl,k er0,(pikc*:9zperiod on Earth?k,efi *qz /,z97pnc5jleo0:qc (k zrx

  A 3.00-kg pendulum is 28.84 m long ns o;jb8;je0gkv2a0g. What is its period on Earth?

  A pendulum has a period of 2.0 s on Earthcagx( q yqaybp1 ;x0 y83l/ch*. What is its length?

  The pendulum of a grandfather clock is 1.0 m long. w nm(u ls hb+gn rlh861, vd6hv:b +w:ybck)y4 What is its period on the Earthv) dgclw: hhksl4h+v+,6bm1uybn8bw(:ry n6?

  The pendulum of a grandfather clock is 1.0 m long. What is its period on tho7ea3n*6c 9r:qg uahw e Moon where the acchraw3 nc 7ageq*o96u :eleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of 1l(ss ( 8qv4qhvhlt0h 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 f1lss4lv vqh( 0hqt(8horth 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 a 20-g mass has initia:faij2 , 4q-mrlxru vibmtrdtvl)f3 x a: 4474l angular displacement of 8.0e. It oscillates with rut4qf : i47 r3v bt4jav,- xi:flxm)lm2adr4a 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 frequengh+ )06/qstw yd+ sxngcy of the wave is 120 Hz. What is the amplitud hxw +y+/gdt s0gqs6n)e?

  Figure 11-2 is a "snapshot" of a wave at a given time. The freq07h, arvu qpnukd0bh, bz:b 1+uency of the wave is 120 Hz. What is the wa u0bku7 q0r,dbza +1hpbv,n:hvelength?

  Figure 11-2 is a "snapshot"rjr7/bw 2qh9 s of a wave at a given time. The frequency of the wave is 120 Hz. What is the wrhbjs 2w7/rq9 ave speed?

  What is the frequency of a wave which has q(/l pz tdzkqpv) s0 ge6ij8+6a period of 6.00 ms?

  What is the period of a wave wk xxv u,m:o8+eith a frequency of 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz and ayyc 5swslf h.1l9 8xz) wavelength of 3.0 m?8h9xyl)cf s lzw51y .s

  What is the velocity of a wave that has a wavelength og-roqdsrm v zf1 37c+7f 3.0 m and a frequency of 12 H1s v z3c7dgfrmqo7- +rz?

  What is the frequency of+8,ct*;r vop9 izh2g8z fbslb a 2.5 m wave traveling at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is under a tension of 1350 N k*/d a6,7aoegp+pobe7 uwne ;. What is the wave spuk7 ,/aogn+aeop*de7w pb;6 eeed?

  A string of linear density 6.0 g/m is under a tension 8jxcb.p 7mj, mof 180 N. What is the velocity of propagation of transverse waves along thej,cxb8 mj pm7. string?

A wave whose wavelength is 0582a g1k rne2up1snjn.500 m is traveling down a 500 m long wire whose total mass isn kjnnp2s8 e1uar251g
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 w/4sgve4n 5u+hf9a sk save on a 2.0-m long string fixed at bothngss4ufkh4e 9as+ v/ 5 ends is 200 m/s. Which one of the following is not a resonant frequency of this string?

  If a guitar string has a fundamental frequency of 500 sam5 p2w8z2+ wwx*gtpHz, which one of the following frequencies x+ *g8w pw2z5w spmta2can set the string into resonant vibration?

  A stretched string is observed to havut 721x)lm ros1)blgge four equal segments in a standing wave driven at a frequency of 480 l71us2)mxbr g)t g lo1Hz. What driving frequency will set up a standing wave with five equal segments?

  A string, fixed at both ends, vibrates at a frequency of 12 Hz lkrl alvitpd9tm -*76zx;8,q with a standing transverse wave pattern containing 3 loops.*r- tz6l9ll x;8 v,7idmat kqp What frequency is needed if the standing wave pattern is to contain 4 loops?

  A string of linear density 1.5 g/m is under a tension o/qbm)(qzi z o4f 20 N. What should its length be if its fundamental resonance frequency is 220 Hz?b/ oqzi)q4z m(

  Find the first three harmonics of a string of linear mass density 2.00 g/m a2tqw).sk pr )knd length 0.600 s.r2 t))qpwkkm when it is subjected to tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. When the string vibray+dbf5-;euykiu 0 gapswmv+ /m.h -3vtes at a frequency of 85 Hz, a standing wave withbaev50us+v; mpyku/hfy-w gm+. 3d -i 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.