The time for one cycle of a periodic k+;i;gg4p,dk 6neg gw process is called the

  For a periodic process, the number of cycles per unit time is called th2b c(rtu t+7m4 rcohk j7.vnk*e

  For vibrational motion, the maximum displacement from the equilibri 1dgy drj.0f cqb72zh9um point is calldby0r d 27 cf19qhgzj.ed the

  A mass on a spring undergoes SHM. When the mass is at its+bw-r50d b aey maximum displacement from equilibrium, its inwy 5a- beb0d+rstantaneous velocity

  A mass on a spring undergoes SHM. When the mass pas+si np3+ cxdsl/+srmx ga8kr6 +w*bm(ses through the equilibrium posim(p+lak/ms + 8rb snxg*xcw dr +i+36stion, its instantaneous velocity

  A mass on a spring undergoes S,id9vgut-8fghv(a:7:z h l hpHM. When the mass is at maximum displacement from equilibrium, its instantaneoigv,(uh h :td -z ha97pgvfl8:us acceleration

  A mass is attached to a vertim q cf5 .70uo/vzl-emfcal spring and bobs up and down between points A and B. Where is the mass lofmcuq5elv.0f o z- /7mcated when its kinetic energy is a minimum?

  A mass is attached to a vertica;m;xqwt *ibevd-1 e n1 2l)cmfl spring and bobs up and down between points A and B. Where is the mass located when its kinetic energy is a maximum?; fi-v;*bnl1mt1e )w qme2dc x

  A mass is attached to a vertical spring and bobs u(l hg- a1,nw u;p3guywp and down between points A and B. Where is the mass lgla unw,yp1g;3 (u h-wocated when its potential energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down b*e,hab/:uvm lju6f r4etween points A and B. Where is the mass located when its potential energy is a maximhuu efl / 4rjbv*:a,6mum?

  Doubling only the amplitude of a vibratingsj.;qk9 8bigupb d;a2 mass-and-spring system produces what effect on the system's meg;kqa d82pus .j9ibb; chanical energy?

  Doubling only the mass of a vibrating manwgmmv9; *oro(v: y/ ass-and-spring system produces what effect on thrvoam ; ywnogv m/(*9:e system's mechanical energy?

  Doubling only the spring constant of ,y4 5vi 6du3mux+zyjs;w zz;ma vibrating mass-and-spring system produces what effect on the ,uxz ;jyd+zu ;s m5w3vmiy4 z6system's mechanical energy?

  A mass oscillates on the end of a spring, both on Earth and on the Moo g;exm1h: ,xlen. Where is th xel,1:;xmheg e period the greatest?

  Increasing the spring constant k of a mass-and-spring system caus s /xiqho0lx8f2,a -hses what kind of change in the reso/xf2l,- sa q08shi ohxnant frequency of the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system causes what kind of.vu ktr9k) wsadzi5) 9 change in the resonant frequency of the system? (Assume no change in the system's spring constant k uk) aikr5.9)tz9wsvd .)

  Increasing the amplitude of a mass-and-spri0ts /ilr/fsnj4u:: tj ng system causes what kind of change in the resonant frequency of the system? (Assume nosit:su j0f rl:j4/n t/ 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 string om tunjlb h.r;7ea+np10( yf4bf length L. For this system, when underr;nh+y1na flemj(b.u 7t p b40going small oscillations

  When the mass of a simple pendulum is tripled, the time required for one completatp g-1j4g ap (bd24ohdaoa 4g (ptj-gph2b14e vibration

  Both pendulum A and B are 3.0 m long. The period of A is T. Pendulum A is twice htu+8 z/atdci/ug :q5as heavy 8 +:5agcztquh/i t/udas pendulum B. What is the period of B?

  When the length of a simple pendulum is trcut/fqb:h0 g.8i9o6t: jw tke ipled, the time for one complete vibration increases by a factor oght eq 8tobjt: 9i.w06: uckf/f

  What happens to a simple pendulum's frequency if bothet ywvjsok,7+1 (k.u y its length and mass are increased?oy,ews k.( jy t17u+vk

  Simple pendulum A swings back and forth at twice the frequency of simple pendukmn-t*isl:w0 v46p zdxk ( 6allum B. Which statement is correkalts: mvzk 6-6l d04xi p*wn(ct?

  If you take a given ,rv-tt 0v: d3piw-fxtpendulum to the Moon, where the acceleration of gravity is less than on Earth, the resonant frequency of the pen-i 3rtt w:x0-dpv,tvfdulum will

  Curve A in Fig. 11-1vh1 f5o/ g k(lzomu/q: represents

  Curve B in Fig. 11-1 repuqsw l+;1h(*k6i z oucresents

  Curve C in Fig. 11-1 representsxqg;kd +; ru,i7-qrus fk6d(d

  For a forced vibration, the amplitude hnd9x/3uw sw,of vibration is found to depend on the

  In a wave, the maximum displacement of points of the wave f;kr,3iey/j9ir 1kfdkrom equilibrium is ca1r/;i9 ekk3fijy kdr ,lled the wave's

  The distance between successive crests on a w: w,u uag 9o1qea;5asz)4hwzrjs*v g5ave is called the wave's

  The number of crests of a wave passing a point per unit ns+,ntu5x. *jwj r:v8h 2yx vntime is called the wave'sn,2v 8. jvxhj:5+nxys n*wt ur

  For a wave, the frequency times the wavelength is the wave'4 ex lzy: wgedmxc3j6t)0)x4ps

  The frequency of a wave e 7 p:kk54cjd gtyv/eka7 -7jl-h4wkoincreases. What happens to the distance between successive crests if the spee- 7kjegdk74ay ltko5pk hc:wej4 /7-vd remains constant?

  A wave moves on a string wnvz3 a7e+g*+x/jzzd oith wavelength l and frequency f. A second wave on the same string has wavelength 2l and travels with the same velocity. a3 vo*zz7/n+j de zx+gWhat is the frequency of the second wave?

  Consider a traveling wave on a string of length L, mass M, a t nrz03.u. uqwp5se;zuwdx/2nd tension T. A standing wave is set upp. 5. u;wertw3z0 uus/qznxd 2. Which of the following is true?

  A string of mass m and length L is under tension T. The :j hdus i(j9sq7*;anbspeed 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 7 *ihj 9 as;n(qsbj:duchange in length?

  A string of mass m and length L is under tensionnqq,6 urlwv1 7 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 in masqq 71, vlrwun6s?

  A string of mass m and length L is undxtp.f6 dyh 0aztpa39 ,c/ :rkher 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 tension is increased to ht 3dra :/xk p,.at90yhz6 fcp2T?

  In seismology, the S wave is a transverse w) :7vmo(eo9fithx bz.7c3 f rfave. As an S wave travels through the Earth, the relative motion between the S wave and the partic :b 7hiex.)t(9z o o7mrff3fvcles is

  In seismology, the P wave is a longitudinlho3 7kwz4 c2sal wave. As a P wave travels through the scwh4z klo3 72Earth, the relative motion between the P wave and the particles is

  The intensity of a wavepn:e:kz x064z0u aig g is

  A wave pulse traveling to the right along a thin cord reaches abcz*kv c,ce+ikydy9r2 ,h9 / z discontinuity where 9czy,er+/, k92cckvd* bh yzi the rope becomes thicker and heavier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass ea6bkf :kdo q) (jlt48p r5md2pmyv:1u jch other on a string, one is traveling toward the right and the other to:yk2qdprub d 6tlj:v4k 1fj)p8om(5m ward 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 trave**r t1f n uifdkq b2fs;6jrh1+ling toward the right has a positive amplitude, while the one traveling toward the left has an equal amplitude in the negative direction. At t2fu* f+t1 r nh6q;drs*kji1fb he point that they occupy the same region of space at the same time

  Resonance in a system, suchtt6+v+dpat3 wciv v 91 as a string fixed at both ends, occurs when

  If one doubles the tension in a violin string, the fundamental i,pw1*/qi k acfrequency of that /,q*p i1c kwaistring will increase by a factor of

  What is the spring constant of a spring that 5u/hb5veh/e+y /r ljqstretches 2.00 cm when a mass of 0.600 kg is suspend +h//bj erev55hly uq/ed from it?

  A mass is attached to a spring of spring conssh6f 34hwwh,u1qzdj;tant 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 posi4 hz,s; hj6wq 13wuhdftion when it is oscillating. What is the amplitude?

  A mass is attached to a spring of spring constant 60 N/m audt7(24z ee8lskba -o long 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 os7(ztbee usl4d a8ko -2cillating. What is the period of oscillation?

  A mass is attached to a spring ofa jh;w,(et171ahdkh nj /edu5 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 tjdk 5at u/7dah11h,wnj(he e;he 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 drr9 /ci d6su9wf;b5 ;ijb j9pSHM. It goes through 10 complete oscillations in 5.0 s. Whdb u9rs5bjic9wr d 6fp/9;; jiat is the period?

  A mass vibrates back and forth from aio+l:u htf74 the free end of an ideal spring of spring constant 20 N/m with an amplifhta +o4 7u:litude of 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 id h5l/wm ezkmc:s3( 5m:m.uiN/m along a horizontal, frictionless surface. The objectd h(5 me kmuc:5ism3zwl/.im: 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 thisaernd/1kcr;f2b (-*jzms)wk lsv0 v 9 time. The mass is cut in half, and the system is again1jk*nk /0dvf2 zm 9bca(s ;s-wvr)lre 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 sprizs ls3 nl;, y3p5ugs8sng 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 po35,lsg ssu npl38z; sysition. What is the amplitude of vibration?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m al)gi-n3c rl9g hp*ssj(u esm- (ong a horizontal, frictionless surface. The object oscilli s)plgs((sceg9m3n- -* jh ruates 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 ( f 1z7xyrl5s u9esr,uof a horizontal spring of spring constant 50 N/m aeuz ,ly(s1x9 sr75fur nd set into simple harmonic motion with an amplitude of 0.10 m. What is the total mechanical energy of this system?

  A 2.0-kg mass is attachq7f7)d blyv(qqsm z8 zto4.2ied to the end of a horizontal spring of spring constant 50 N/m and set into )q7sd7bq4zly82 oz .v qt (mifsimple 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 spring of spring cz:)tr u )hv6szonstant 20. t6zuszh)):vr0 N/m with an amplitude of 0.250 m. What is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring system is displacp*yikfq)7wy 3ed 10 cm from its equilibrium position and released. A frequency of 4.0 Hz is observed. What frequency would be obser pkyf)iq*wy3 7ved 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 constant 10 N/m. 9:z 4eizt k ft,pwp)r,The object is disp9,pf,ipz zte) t4 rw:klaced 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 ohtl6m 5* qi3 c,k-x/ xbi(5(k hg 8irp8ihnlelbject is displaci/nq, b((*lktgcrxe8 i-5l5ih h 3ml6 hpikx8ed 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 Nqj1w 6tn5)qwg /m, displaced slightly from its equilib)wq6gqj w t15nrium position, and released. What is the frequency of its vibration?

  A mass is attached tk+4o ozocws0znvv +*3o a spring. It oscillates at a frequency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What is the vo4zow+v+ 3s zck*on0 maximum velocity attained by the mass?

  Two masses, A and B, are attached to different springs. Mass A vibrates with e,dlk,d:j9x eamplitude of 8.0 cm at a frequency of 10 Hz and mass B vibrates with amplitude of 5.0 cm at ee jk9xd,d l:,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 co9aqlxf /c, :equilibrium the mass stretches the spring 2.0 cm downward. Tl9 a/oc:xf ,cqhe 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 the mass stretche - g3. 6jg5uksfivoir*s the spring 2.0 cm downward. The mass is then pulled 5 orj-k*ugs6fvg3i i.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 suspende a2gj/*/0kl rz*nnuivd on a spring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm dow iangrn2k* zl*v/u /j0n and released from rest. Write down its equation of motion.

  An object in simple harmonic motion obeys the following*fk.h 2,pj1wl jpt ud1 position versus time equad h,pl1.w*jtu2k1jp ftion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following position versus ti0r wy9cuppfh/fmo 9t)1x)*sgme equationw*fguyph msr)ct9)0pf xo/91 :
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic i e-7/*9 c 5vvk xy7sd9qklav;9 wvl,wm.uavpmotion obeys the following position versus time equal vp9wvv.s5vd/kik-7 xvqal 9;cm,w *ay9 7uetion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes t:j+*a. th yobsimple harmonic motion accordi jb* aht+:y.otng 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 osci+ lr h7ltn4iujii i v2v4yedf-ltt ,o) qc29*(llates on a horizontal, frictionless track. At t= 0, the mass is released from rest at x= 10.0 cm. (That is, the spriv 7ql24-j ut4n( ih2ftieliorv9 l i*c,d+yt)ng 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 andjla9mx z7p/6 q o2o4qx period oqa/2l7o9qmpzxx j 64 on Earth?

  A 3.00-kg pendulum is 28.84 m long. What is its period on Eartc q ,oiq9gnb ic15uj:rp 1so gl+f3q00h?

  A pendulum has a period of 2.0 s on Earth. What i,yva)nv rf;rttm a -;zf4z1r3s its length?

  The pendulum of a grandp5daaa92n p hog*c,h+father clock is 1.0 m long. What is its period on the Earp dn59a+goahh2p a*c,th?

  The pendulum of a grandfather clock is 1.0 m long.mb c:is6j w t+wl6*ms , tppz)7dbo;a/ What is its period on the Moonmp t6j)abz7wbmswi+ ;pl 6:s,/cod* t where the acceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kgy+ +a :hyd,7ksvnfrmv7 :rn z9 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 resuz vsn :yfkhyra7 r+n97:,dv+mlted if a 0.50-kg mass (same diameter sphere) had been attached to the string instead?

A simple pendulum consisting of a 20-g mas:omt kkvl22cn4 nu:: ws has initial angular displacement of 8.0e. It ow24nukcv2:okt: :lmn scillates 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 wavgbqb2;p q 7j( j))oqube at a given time. The frequency of the wave is 120bqgqbq)o) 2jbu;j7 (p Hz. What is the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a g32faf;j4zizh:dh g/ lsqksm0j -kq,; iven time. The frequency of the wave is 120 Hzh0 s4/aqqm2fdk3izjk:f- g s;; ljzh, . What is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given time. Thezygxc)usnak88 3j0t5 frequency of the wave is 120 Hz. What is the wave speedc n5u0taygxz3jk )8 s8?

  What is the frequency of 1, hxaai3fl nng9 yk+(a wave which has a period of 6.00 ms?

  What is the period of a wave with a fre4f +pbiivnp yb3ia*84quency of 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz dz1y;+ oj4qle-)45aca szv4f0bxm1l xve t7eand a wavelength of 3.l 7xaz set0mzq c4f5dv4 1)e1o -;axyj4lvb e+0 m?

  What is the velocity of a wave that has a wavelength of 3.0 m adgiy5+ ldh c/k k(ui-5nd a frequency of 5 i-k(lc+yd5i khdug/ 12 Hz?

  What is the frequency of a 2.5 sdlopkst) .p2 3r;nxg /5*fqum wave traveling at 1400 m/s?

  A piano string of linear mass densit ladblu z*io):s* )k:fy 0.0050 kg/m is under a tension of 1350 N. What is :kl**z)aobf luds)i: the wave speed?

  A string of linear density 6.0 g/m is ue3n idl5 32x 8doy.jqxnder a tension of 180 N. What is the velocity of propagation of transverse waves an8yjxq xl.e3d3 odi 25long the string?

A wave whose wavelengut5:lj.zn y9 hioc -2uth is 0.500 m is traveling down a 500 m long wire whose total mass uoj:n.5cilh-uy2 9zt 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 2tib40owrg sr 2 *mw:h+.0-m long string fixed at both ends is 200 m/s. Which one of the following is not amt*+ 0 brwr2 4ihow:gs resonant frequency of this string?

  If a guitar string has a fundamental frequency of 51n5) tr(trtscfk tu ((7umud200 Hz, which one of the following frequencies can set the string inm)ut(u1t5k2u 7( (rnt cfsrt dto resonant vibration?

  A stretched string is observed to have four oo ri05f-ohu4n/u d/gje,f-os66u anequal segments in a standing wave driven at a frequency of 480 Hz ejg ofnuo/,u/idso64 n 0-f- aru6o5h. What driving frequency will set up a standing wave with five equal segments?

  A string, fixed at both ends, vibrv y3k)sj(;2rxc mb; 8uplt;usates 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 contavxsmt jys) rub8l 2( ;cpu;;k3in 4 loops?

  A string of linear density 1.5 g/m is under a tensn *z47frgrg-q9sb5m q y tc7,rion of 20 N. What should its length be if its ,z g y7-rnf qbqgs47*rtmr9c5fundamental resonance frequency is 220 Hz?

  Find the first three harm/ni :hvw+ bh8 2,htoueonics of a string of linear mass density 2.00 g/m and length 0,/2i bhh v w:u+onht8e.600 m when it is subjected to tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. When t +unky1ohf8f:he string vibrates at a f8:uohk ffy+ n1requency 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.