The time for one cycle of a periodic pruiv w 3mhs-wi:p9cpy-u,1h0m ocess is called the

  For a periodic proce lt *8rsejo5xp; u9f3ass, the number of cycles per unit time is called the

  For vibrational motion, the maximum displacemex+*ukfpzvim+90 xy 9azh.) md nt from the equilibrium point is cala y0.zmmh +z+k upvdxfi9x9* )led the

  A mass on a spring u p q6lurj5wdfk 6ol2v3ng:m-b) ;a0z mndergoes SHM. When the mass is at its maximum displacement from equilibrium, its instantaneous velo3rb)6fjap zk:g-lmd n m26 u oqlv0w;5city

  A mass on a spring undergoes SHM. When( nexq4m0mj4l gndum 0/6oqx/ the mass passes through the equilibrium position, its inq0 /gq0j md 4nx/n l6mum(ox4estantaneous velocity

  A mass on a spring undergoes SHM. When the mass is at maximum displacement fo rnl 5vm;r-s6romnm;rl- 5 orvs6 equilibrium, its instantaneous acceleration

  A mass is attached to a vertical spring and bobs up and do3l4p 49.gx: q r0 dmwsj1vsdrdwn between points A and B. Where is the mass located when its kinetic energy is a mini dsgrwvr:q4xm.4l09 d1 djs3pmum?

  A mass is attached to a vertical spring and bobs up and dowo -*9cpldy2l un between points A and B. Who9y2dpl*c -l uere is the mass located when its kinetic energy is a maximum?

  A mass is attached tcc32 mgt2c( f+bt kl1 r:sagqkn5l ju;t: vf0(o a vertical spring and bobs up and down between points A and B. Where is the mass located when its potential energy is a mini2m3l bv:tu ;1t+g5gkfsarc(t cf n0ql:ck( 2jmum?

  A mass is attached to a vertical spring and bobs up and down between poiny fyjt6 qdd 4j7* e :pqlwe-8f72lyx+yts A and B. Where is the mass located when its potential energy is a maximump +j2e : etwfyq-*d y78fjd x7y4q6yll?

  Doubling only the amplitude of a vibrating mass-and-spring system prf8, g0sn,hkvvoduces what effect on the system's mecsfn h8vv g,k0,hanical energy?

  Doubling only the mass of a vibrating mass-and-springc.5hkm5 m)bvnoj.3 y y system produces what effect on the system's m5vy3.o m.hbcn)5yjk mechanical energy?

  Doubling only the spring con (2cmp*y j1qt8lja/b. 7k sk3 av-pxyyiu2fk+ stant of a vibrating mass-and-spring system produces what 7v+ bp(c.23u*t fkks/m8ikpqjal yx 12yj-ya effect on the system's mechanical energy?

  A mass oscillates on the end of a spring, both on Earth and on thpc;0ctociraswl4b .f z;*k 17e Moon. Where is the period the greatesi;4z0k7cw ; 1trlcbsf.oa* cpt?

  Increasing the spring constant k of a mass-and-spring systemk+wg 942ulgd5(dthpv y up 8z, causes what kind of change in the resona458(g tzu+k vddp9lwhu,p g2ynt 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 xo*4n-yyjm e+)tvf,2ks :k fbof change in the resonant frequency of the system? (Assume nfy, mbk4)s:nf je- 2t* x+ovkyo change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-sprin 8spwcik0duakv+e(8 )g system causes what kind of change in the resonant frequency of the system? (As0v ecuwikksd)+p8 8a (sume 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 stri00vj ew :wgs 4ys+*qiptie07 qng of length L. Foris7wy:+qe4q0i p0g* 0 swtvej this system, when undergoing small oscillations

  When the mass of a simple pendulum isffy1ejrl ox 9s3 )kpqc-r52zpa 9dg.* tripled, the time required for one complete vi5opf fa rp2 *kgr1c9xed-z9q s .3lyj)bration

  Both pendulum A and B are 3.0 m long. The period of A is T. Pendulumd1ia tpz6*;rx A is twice as heavy as pendulum B. What is tax1 tdi6r;z *phe period of B?

  When the length of a simple pendulum is tripled, tv cs ot9jd55rkhwa7 fqt6j/(+ he time for one complete vibration ina j q +v/kj5woc(trd5t6f hs97creases by a factor of

  What happens to a simple pendulum's frequency if both its lengtn6x -) w)pxywes6s3xc,l w-cgol 0 ,pmh and mass are inc , ecol-nx)s6g)pp mclw3xww,- 06x syreased?

  Simple pendulum A swings back and fort-wc id ngo1)s(h at twice the frequency of simple pendulum g)w(1ci- sond B. Which statement is correct?

  If you take a given pendul( r3)zd-l rheb8 v3cjium to the Moon, where the acceleration of gravity is less than on Earth, the resonant frequency of rblc vd(e8i )z3j3r-hthe pendulum will

  Curve A in Fig. 11-1 represents nepn3c*sq* d9

  Curve B in Fig. 11-1 represent2p,o1vfga.k qtn4:coc t3g9 qs

  Curve C in Fig. 11-1 remba6u9ph4 .az(2uq lapresents

  For a forced vibration, the amplitude of vibration is found to d y;zmxpg7;p8uu. m0y d/cd yn/epend on the

  In a wave, the maximum displacement of point;g*vidl(* rbp s of the wave from equilibrium is called the wli r*pgd(bv;*ave's

  The distance between successiv+i n:e2m xiel:oj;xf 6e crests on a wave is called the wave's

  The number of crests of a wave passing a poin ul(mpj*le8k zw g9q)r, ih))kt per unit time is called the wave's)) lrhuj9 pi8,k wezmg(q*kl)

  For a wave, the frequen*iooe/ )(wp:*of yozecy times the wavelength is the wave's

  The frequency of a wave increases. What ha :bu d 4uxuf/;sqneg5 w:t8lm6ppens to the distance between successive crests iq tgub wl;sf:ueum8d6/: 45nxf the speed remains constant?

  A wave moves on a string with wavelength l andziiq))gf g45lb9 l uk*rlgc2. frequency f. A second wave on the same string has wavegru i5 k)*9gclq 24 )bif.zlgllength 2l and travels with the same velocity. What is the frequency of the second wave?

  Consider a traveling wave on a string of length L, ma4izd +lb: ,vkl* ysv4uss M, and tension T. A standing wave is setl4:4*z,vyk +ud bv sli up. Which of the following is true?

  A string of mass m and length L is under tension T. The speee l+ugd) r1l9 ynes.e3d 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 in ln+)9lydeue3 .s glre1 ength?

  A string of mass m and lengthad0k1 mtr0 aq6 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 length 0a1a0kt qdmr6 is increased to 2L, with no change in mass?

  A string of mass m anj:dz6aouc xreq*-) + cd length L is under tension T. The speed of a wave in the string is v. What will be the speed of a wave in 6eud* c)r cx+-ajqzo:the string if the tension is increased to 2T?

  In seismology, the S wave is a transverse wave. As an S wave travea4/unl:oca y)25vav1 eywk)yls through the Earth, the relative motion between the S :yn/1v) ycuavwla2ek o4) y5 awave and the particles is

  In seismology, the P wave is a longitudinal wave. As a P wave travels tg. n ij 2du97 me*,kz89mwl+zb*ucgtqhrough the Earth, the relative motion between the P wave and the parti8e9zb+2nkgw*. cdqutj *g,u79ilmz m cles is

  The intensity of a wave irtva0l +j -k0)sn 2r rogn;x th1u(n8qs

  A wave pulse traveling to the right along a thin cord reachesw rsx kmm-jcom0b -+.4 (sy6ww a discontinuity where the rope boysm mk--wjs.ww 4 b06r mcx+(ecomes thicker and heavier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each othejmpji*8) cx85k+f,mpmi pcnc3*r6 i xr on a string, one is traveling toward the right and the other toward the left. At thrcxijc8n3f8*m6 k+*px5i) mjpp,mic e point that they occupy the same region of space at the same time

  Two wave pulses pass e uzt2 lyibex0s +qy:q0gb- 9rk*q/0oe ach other on a string. The one traveling toward the right has a positive amplitude, while t:o-+u 2ribt0lqb e/y0q z x*qgyk90sehe 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 *3mjlgg ax jx97:t2e ebl0,im fixed at both ends, occurs when

  If one doubles the tension in a violin string, the fundamental frequencm ;ei,. a-z (xzv ,mzalfql5p(y of thatfx ,p.m,lam-za(; (lz qive5 z string will increase by a factor of

  What is the spring constant of a spring that stretches 25haop8z 4 yi8oh5bdh/q n 5)rz.00 cm when a mass of 0.600 kg is suspended fromy4zhd)ha8p58/hz5b rono q i5 it?

  A mass is attached to a spring of spring constant 60 N/m along a hwj cse4gh/-m83)gf()x 9f;t otmj lldorizontal, frictionlesshf))m -m(9;l ej f cldgxst4t3w o/jg8 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 amplitude?

  A mass is attached to a spring of spring constant 60 N/m along afwx/00 3junc aq(oq-pi ugk,/ horizontal, frictionless surface. piqjcw, u0n3kxq/a(o u/-fg0The 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 spnnw- e-,poe d+ring constant 60 N/m along a horizontal, frictionless surface. The spring is initially stretched b- depn- nwe,o+y 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 frequency of oscillation?

  A mass on a spring undergoes SHM. It goes through 10 comyor7l d( iizo)/ mipm) 08p6lrplete oscillations in 5.0 s. What is thrz o )y/rp l08oii)d(6p 7imlme period?

  A mass vibrates back a5z9 zia*1bjx and forth from the free end of an ideal spring of spring constant 20 N/m with an amplitude of 0.30 m. What is the kinetic ene19 *zx5z abjiargy 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 const h:5hnrku z(t-ant 20 N/m along a horizonta- n5uzhkr:t(hl, 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 a2. +lhcft*iurt this time. The mass is cut in half, and th.r2u h+it flc*e system is again 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 spring conug (i u:.saj1sstant 20 N/m along a horizonta(1usj :gia .usl, 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 amplitude of vibration?

  A 0.50-kg mass is attached to a spring of spring constant 20 6 l)ovhz(be)tN/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 what locat 6eo(t) )lbhvzion are the kinetic energy and the potential energy the same?

  A 2.0-kg mass is attached to the end of a horizontal zmu 1go6+6r8v( tsbpjspring of 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 this systevrzsbpt6 1o6m( gj8u+ m?

  A 2.0-kg mass is attached to the end of a horizontal sp1o 0 b/ nj0rotc68tdbsring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.1j01t s oocdtb8r0/n6b0 m. What is the total mechanical energy of this system?

  A mass vibrates back and forthxzpdp h.x*ad+-, n5 r5qhu)rn from the free end of an ideal spring of spring constant 20.0 N/m with an amplituded x-x. 55nh zn*prqh,+ ru)adp of 0.250 m. What is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring system is displaced 10 19ya f ()5atnli *wntdcm from its equilibrium position and relea1 t9l(*f 5idn ayan)twsed. 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 spring of,04ydfk uo4rv 6twea7w ao m9j7jw 6i/ spring constant 10 N/m. The object is displaceda mtj/6a0o4,wydj 7f6uk7 rw9wie4v o 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. /qw vqo mhtw -c3n361l The object is displt6h1 33w/-c wqlvqmn oaced 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, d b9z)hz)p 3( /jvpqhfk(oqsw 2isplaced slightly from its equilibrium position, and released. Whpq2hk jo(b/)9 3hv)z(pwszf qat is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequency oyfgx)1m7a+(7j v/w x+c vf rhxf 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. +(r) xm7xx j f/yc7gf1vvwa+hWhat is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to different springs. Mass A vibrates 8zcd-obe w)3o with amplitude of 8.0 cm at a frequency of 10 Hz and mass B vibrates with amplitude of 5.0 cm at a frequency of 16 Hz. How d-ceo3o)zdb w8oes the maximum speed of A compare to the maximum speed of B?

  A 0.30-kg mass is suspendec.k q1 t:gv-ofo eli3ugh9oj0co6p, 1d on a spring. In equilibrium the mass stretches the spring 2.0 f-eo96g,q v0t1ch.3lgo1kpoj : iuoc cm downward. The 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 theg ymsy2-3 f 8cg1kwho5d)kbs 4 mass stretches the spring 2.0 cm downward. The masscoy2kdk)h4s18wgb3 y sm5 fg- 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 t pbf5oouuq4e867 yfpoa iqsxq; :)r -0he spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and released from rest. Write dow56 -y8q0x7ius4qfp:po f;qaou )e orb n its equation of motion.

  An object in simple har 4f7zk/n.x biemonic motion obeys the following position versus time equation:z 7n e.4ikfx/b
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following position versuv1 jqbld4+;hys time equation:1h4q +v jdyl;b
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following pos nch3x7g6+g csition versus time equa xh6c7sg+ c3gntion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simxdi z+n w-;1m ub5aadny8lk:5 ple harmonic motion according to the e1nz dn:lxa5 uk+byi;8dma -5wquation $y = 0.50 \; \sin (18\pi \times t)$ 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 wvb38 kmv9o0 tl4d jp:of 20.0 N/m oscillates on a horizontal, frictionless track. At t= 0, the mass is released from pm93jkw 0lov bt d8v4: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 swings in 8.0 s. (a) What ar er6kfq,q d:8d(n-emqe its frequency and period on Ea e6kq:e-dq qm,nd(r8frth?

  A 3.00-kg pendulum is 28.84 m l+mcvdp0hop0: hqtw4n91ng 1uong. What is its period on Earth?

  A pendulum has a period lbba7 z5qynm kaa;(lr v)0*.cof 2.0 s on Earth. What is its length?

  The pendulum of a grandfathe(s1sot7/e s f*ry;j qwr clock is 1.0 m long. What is its period on the Earth?o sf(j/ts7qy;1e s*wr

  The pendulum of a grandfather clock is 1.0 m.vowt) :s *gdbfq +r3u long. What is its period on the Moon where the acceleration due to gravityg:bs+f u*ro w .)qvtd3 is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attach 5o3n3wx)t gjoed to a massless string. When the mass is displaced slightly from its equilibrium position and released, the pendulum swings back and fort)5to xjwgo33nh 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 mq 4hsy0v8ii y5/:ezge6eu 3cxx 6ly1a 20-g mass has initial angular displacement of 8.0e. It oscillates with a period of 3.06 i:4 3l85/uyyci0v1y e6gxe mezsqhx0 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 frequenc udaoa+bn(n-f7by b0t z5t fw;b/ h.x+y of the wave is 120 Hz. What is the amp yn(t f.05t+-;u+fbab d7a /xhzwnobb litude?

  Figure 11-2 is a "snapshot" of a wave at a given t df-l t6p.jj+s hr2ru+ime. The frequency of the wave is 120 Hz. Wh rdp.uj26tslhf+ -r+j at is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency of the wav-n rth;l wn79oe is 120 Hz. What is the wa;nhotn9l 7w -rve speed?

  What is the frequency of a wave whik.lf1.+ yrolo+0+t 4 azfuxz bch has a period of 6.00 ms?

  What is the period of a wave with )nr(c.1z:qzm-bq s iba frequency of 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz and a wavelength od.abp6u05z, ry ,jskcf 3.0 mru5yd ,jp cb.,skz6a0 ?

  What is the velocity of; re 3v.z hfxpq+7:ryc a wave that has a wavelength of 3.0 m and a frequency of 1;7. cx3hyvrzr e:fp+q 2 Hz?

  What is the frequency of a 2jgt15cbkyod1 x- -)k-.jx zn4pqbr7x.5 m wave traveling at 1400 m/s?

  A piano string of linear massd m96jpqp6/j; rrwo c5 density 0.0050 kg/m is under a tension of 1350 N. What is tpj9o6r ;rwm5/q6pjd che wave speed?

  A string of linear densi 0z aid1 z+ucukud1x/;ty 6.0 g/m is under a tension of 180 N. What is the velocity of propagation of transverse waves along the xu1 i0 cd za;k+u/uz1dstring?

A wave whose wavelength is 0.500 m is traveling down q 5o)35xuuiaw)o 1rcga 500 m long wire whose totalua o5gxwu )r cq315i)o mass 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 4z(yf,pr: s f9df w)ektransverse wave on a 2.0-m long string fixed at both en9fp e,(yffs): z4rwdk ds 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 nh+ 83u bt0ic21 aj:ew gh3l :lak4plcHz, which one of the following frequencies can set the string into resonant vibration?wgaln:c3el4 jl+pb3k a:h0 28uhc1it

  A stretched string is observed to have four equal segments in /w: 5tkd*dwts i+kuq)a standing wave drivewt:)*duqd 5kstkw /+i n at a frequency of 480 Hz. 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 H+4k4hqd bg)n2 (g bqcwz with a standing transverse wave pattern containing 3 loops. What frequency is needed if the standingb2+4g gcd kw qbqn4)h( wave pattern is to contain 4 loops?

  A string of linear densit huuyr.+ +vsp1gwd-r-y 1.5 g/m is under a tension of 20 N. What should its length be if its fundamental resonance frequenc+ 1 r-s+-u.hpgyr dwvuy is 220 Hz?

  Find the first three harmonics of a ;bfqa9lsq x- m(t48lgstring of linear mass density 2.00 g/m and lengts t8-laf9 b;mgq(xlq 4h 0.600 m when it is subjected to tension of 50.0 N.

A string of length 2.5 m is filh q1:,oq9 mpuz+vl, b pril(*xed at both ends. When the string vibrates at a freu,r:bqo9l*+1pq ilzmh,( lp vquency 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.