The time for one cycle of a periodic: 1 f 6,t,xqted lgfa/xkm:nl: process is called the

  For a periodic process, the numun. dh y,u4 t. (u2psoam)7fmr/6 bsabber of cycles per unit time is called the

  For vibrational motion, the maxi u0tk+t e+zh/9 1zurnhmum displacement from the equilibrium point is callezkhr0+9unuzt 1 h/ +ted the

  A mass on a spring undergoes SHM. When the mass znlpz.h y5bxo)lk4)0 is at its maximum displacement from equilibrium, its instantaneo5z) 0bpxno.k)4 llzhy us velocity

  A mass on a spring undergoes SHM. When th0q0c-ebg2jv hivz 4l;e mass passes through the equilibrium position, its instantaneous velo;i h40 z0gevl-2 bjqvccity

  A mass on a spring undergoes SHM. When the mass is at maximum displacement frg b t)xdi58y1 emyjaa4mzh .63om equilibrium, its instant1)a myy x4z83j 5agt hmdei.b6aneous acceleration

  A mass is attached to a v xw5usvx zttmt11xfu1pbc: 5ak 2l1,k,d1 )evertical spring and bobs up and down between points A and B. Where is the mass located when its kinetic energy is a minim2 ucxw1:utkt1zmvxpk ve 51x5d1),,b 1ltasf um?

  A mass is attached to a vertical spring and bobs up and down between points A ank.rc7yup u +-a3l yxx9d B. Where is the mas7akpuu xrc+ 93lyy-.xs located when its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up and down beqxi1u z (n.q,jo6 i +yuzoyn2*tween points A and B. Where is the mass locate+yqjz,yu*z i2o6n nixo q1 u.(d when its potential energy is a minimum?

  A mass is attached toewg1b, w8-bbj: 5 qcgj a vertical spring and bobs up and down between points A and B.cgwge, w8 q5b1b-j bj: Where is the mass located when its potential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-spring system ebi k40 4c1kdtty(p/eo3 h;kxproduces what effect on the x(b4e;tk k1 di30chy /pe kto4system's mechanical energy?

  Doubling only the mass of a vibrating m d,7i6b :.dw4* y63shese5kjia tzrptass-and-spring system produces what effect on the system's mechanical yi3td het wi*e645.ks,a6d zsrp7 :bj energy?

  Doubling only the spring constant of a vibrating mass-and-spring syst(nu hr5p szpg:4 hlp)cof05q2 em produces what effect on the system's2q5pgrfo0cp)p54nhhl( uz:s mechanical energy?

  A mass oscillates on the end of a spring, both on Earth and 4l1cmm/l ge8x on the Moon. Where is thc/x184lm mgel e period the greatest?

  Increasing the spring constant k of a mass-and-spring system causes wh2nx/ nw roe,h05 g75ndnaq qt7at kind of change in the resonant frequency ox5e7hog/ n0 ,rn q7q5n2tnawdf the system? (Assume no change in the system's mass m.)

  Increasing the mass M oyvjwgi;fi952pp t.q4f a mass-and-spring system causes what kind of change in the resonant frequency of the system? (Assume no change in the system's spring constant jyipg9.4iv f;tw2q 5pk.)

  Increasing the amplitude of a mass-and-spri2swg7cew, 7xt ng system causes what kind of change in the resonant frequency of the system? (Assume no other change cwt27se,g7 xws 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 weirv a u9:4d)acavzjn.mk4/g j+ghtless string of length L. For this system, when unde4vmjazd:aj)9v a+/u ck4gnr.rgoing small oscillations

  When the mass of a simple pendulum is tripled, the time required for one comp aj-dr:1kvxj1 .dick +lete vjrdj.1kav-x ik 1dc+:ibration

  Both pendulum A and B are 3.0 m /nz * z;yj k3lqkq3cs7y(db j9long. The period of A is T. Pendulum A is twice as heavy 3 /; jszj9dkz 7q(3cy*qykblnas pendulum B. What is the period of B?

  When the length of a simple pendulut( b2)a n:qdoxzpe+8qw m/+r y s.s3arm is tripled, the time for one complete vibration in/2x.8 eno :3qr ws+a dmsya q(pbz+r)tcreases by a factor of

  What happens to a simple pendulum's frequency if both its length and mass are infm34 wr) :,lrkxcbcnk4p +w3gcreaseml4crnw:gr,w4)kc3+bp 3kxf d?

  Simple pendulum A swings back and forth at twice the tilmp,xdbx)i 7wzn(,3r c( j4frequency of simple pendulum B. Which(zt (7 pbjr,m)d34xcxi,inlw statement is correct?

  If you take a given pendulum to the Moon, where the acceleration *vud7,mox:nvmjmlf 9rw:q+ 2 of gravity is less than on Earth, thf*9qvmom:n+x:l ujw vd7 2m,r e resonant frequency of the pendulum will

  Curve A in Fig. 11-1 represe- nou. 6)bka;v2 arjwtwvzr(4nts

  Curve B in Fig. 11-1 repr(*nb ppaq*m.2lw 8awzowb+/ hd3 5yp resents

  Curve C in Fig. 11-1 represe,o /81lo/so*o/uls c. l ybyyhnts

  For a forced vibration, the amplitude of vibration is found to dee *6gc fsue6q-pend on the

  In a wave, the maximum displacement of points of the wave from ex 7kb y0.o .hrzvvdq37quilibrium is ca0hqb.r xdy3o.7k7z vvlled the wave's

  The distance between successive crestswj-h5)szq w9,rx ye-n on a wave is called the wave's

  The number of crests of a wave pasq+8)ll.124 tgw lcmm p/dbb7hyu7lrv sing a point per unit time is called the wave'+d .bbq 17 lmghlp/)87 wluc24vmt lrys

  For a wave, the frequency ti5q l0 f7vkk;awmes the wavelength is the wave's

  The frequency of a wave increases. What happens to the exbub,ty,wuc.+ab4l f75zeme-ujx;*p l; +v distance between successive crests if tuwv+, 7ubz,xb *eueabljy. -;f;te 4 +5m pxclhe speed remains constant?

  A wave moves on a string with wavelength l and frequency f. A second wavwmc/p* m1a ew0e on the swc/ e1*p0mma wame string has wavelength 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, mass M, and tension T. pkiv 6 (gkh)d cd03fw7 i7ueltrmv748 A standidpherd7v8ivutfkwk (i6g73 m7l0 c 4)ng wave is set up. Which of the following is true?

  A string of mass m and length L is under tension mfwn j41ag:62pz.ek xT. The speed of a wave in the strinj p1m4 xkz g6e:.2fnawg 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 tension T. The speed of a wave in thpo /vm+k c0fn4e string is v. Whatvpon k+cm0 /f4 will be the speed of a wave in the string if the length is increased to 2L, with no change in mass?

  A string of mass m and length L is under tension T. The spee,yvvc1+1sz1 m k bu9xrd of a wave in the string is v. What will be the speex1zbkur1c9 y1+ v,v msd 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 tiv90rw5go:ud fuku b,7g 4nd2hrough the Earth, the relative motion between the S wave and 9gu f5 bi,:r godn4kvd072uu wthe particles is

  In seismology, the P wave is a longitudinal wave. As av sa4pw(qe )l2p,c9vz P wave travels through the Earth, the relative motion between the az c(ls 4p9q)w ev2vp,P wave and the particles is

  The intensity of a wavqrqj w:94,n cie is

  A wave pulse traveling to the right along a thin cord reaches a dimt j iz(a(fb3s0. 6gpmscontinuity where the rope becomes thicker and heavier. What is the orientation of the reflected apzm(a0b. ( 3fmgtj s6ind transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each othec1 4icdlx* z ylt,9/ebr on a string, one is traveling toward the right and the other toward the left. At the point that they occupy the sam 4lzx/,yict9 1dbc*lee region of space at the same time

  Two wave pulses pass o2lwlmi7z qb,,z- 6q6jjgw 3y each other on a string. The one traveling toward the right has a positive amplitude, while the one traveling toward the left has an equal amplitude in the negative direction. At the point that they ocl 3o6m-6qj,2zzyliw q7jwbg ,cupy the same region of space at the same time

  Resonance in a system, such as a . ukul;ea sp7 r*vra7 2e:* xotu.fe/lstring fixed at both ends, occurs when

  If one doubles the tension in a violin string, the fundamenta3kvkdalg*t+ . m+9jb il frequency of that string will increase by a factor.k gbtm d3ivlkj* a++9 of

  What is the spring constant of a spring that stretches 2.00 cm whenyqs two*rk,+e x;jjh 6v35qtjrp:x6( a mass of 0.600 kg is suspend5+sx:y3jjtrwtjv k,o e;q6*p( xhr6q ed from it?

  A mass is attached to a spring of spring constant 60 N/m alon-r8 y(dn.vzqy0m *g;zfenjf; g a horizontal, frictionless surface. The spring is inity* vyn - j(0fzfnm eq;.;zr8gdially 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 sprin6c 0 6chwom,oow juz9cv .ms3*g 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 oscillato*h6,cw.sj6omcoum0 39 c wv zing. What is the period of oscillation?

  A mass is attached to a spring of spring constant 60 N/4;fewq. s dzx6m 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 masq.e 46 wxdf;szs 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 throvb88omfod5lfql 9g , 2ugh 10 complete oscillations in 5. 8o,q985gbl2domf l vf0 s. What is the period?

  A mass vibrates back and forth from the free end of ec erew/ -9:ex v0jy1ij7.svdx*ci,wan ideal spring of spring constantee 9x - w . 0iswe1jc7cjixey:,vdv*/r 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 equilibrium position?

  A 0.50-kg mass is attached to a spring of spri.rwe/qjl. sou )gjez.- 7vkn4 ng 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./q.j4g)klr -. e7uzn os vej.w What is the total energy of the system?

  A mass undergoes SHM with amplitude of 4 clvp 0qy. /s7on)ax,y .f4kna jm. The energy is 8.0 J at this time. Tvy.s4/kfl qy,0annj7xaop ).he mass is cut in half, and the 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 attachr lt1 azv4kmskdn+;i90w: ()bnf x-jx ed to a spring of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harm-lwixd)4 zfsj1x +0t;kb k:nr am( n9vonic 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 N/m along a horqnx ; v2 m8 ft(i7gkurx+is3f(izontal, 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 thiu3txki(7s+fx 2 nfqmvr(8 ;g e same?

  A 2.0-kg mass is attached to the end of a horizontal spring of spring cons+ 7jd r:qqer;-9mp 2iukl4( fhufkz3otant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the- 72i:;3rzumkq+jo(p 9ehqkfl uf dr4 total mechanical energy of this system?

  A 2.0-kg mass is attached to the end of a horizontal spring of spring constant 5:a7a *+dmooyqvhm3qgwi/** hu2c3j7 pzf xe:0 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is t*opf vy2: mwuaq 37 og eh*j*qdi:3zmcahx+/7he total mechanical energy of this system?

  A mass vibrates back and forth from the free end of an ideal spring o/0xf9k5i cd 1euh9 xkof spring constant 20.0 N/m with an amplitude of 0. 9ek/h0fu51dxoikx9 c250 m. What is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring system isb .i +sey.;osg7h j/cs 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 been displaced onlico;ej+s. bs sg/.7 yhy 5.0 cm and then released?

  A 4.0-kg object is attached to a spring of spring cokt78 /o vj)y hmrflq67nstant 10 N/m. The object is displacedtlv76f yh rm jq/7)8ok 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 cx9 sprn/ ta0j-onstant 10 N/m. The object is displacedp rja 0xt9sn/- 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 a98g 8cbm58asq6vs qyp spring of spring constant 18 N/m, displaced slightly fr9 by vcq8mq5gs 68p8saom its equilibrium position, and released. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequency of 1.27 Hz when 0f6x)6um xqh r 4dt1s y2zgq/bdisplaced2 dgr bft6mz0/4q yhusqxx)61 a distance 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 v o8gqs6sfo i3y. o +(b))zgmfiibrates with am)oso(68 g+io.gfy)fb s3miqz plitude 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 does the maximum speed of A compare to the maximum speed of B?

  A 0.30-kg mass is suspended on a spring. In eqjn (;,om uslxj9f4 4eeuilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm dowe4fu jj,4 ;l(omns9exn and released from rest. Calculate the period of oscillation.

  A 0.30-kg mass is suspe8o y1 rx/ -nvax5-catrf)p0pbnded on a spring. In equilibrium the mass stretches the spring 2.0 cm downward. The mf- pavnpx/1)yxcobt -0arr 58ass 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 equilibri7bb6h lso(w j*um the mass stretches the spring 2.0 cm downward. The mab67olhj(* sbw ss 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 position versus0m/u (f, qhlss time equatioh fu(ms0l qs/,n:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obejs.w*tih i bm4,8 3len*5c qyeys the following position versus time equatjen *qw lse45h38ii.m b ,tcy*ion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following position versus timm5otxju..ujch. nqj0ex g 55(e equjqh0utxg(c x..j5ujm. 5eo5n ation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the2f /; rqww5fnsc 0jkb8/6k uor free end of a spring executes simple harmonic motion accordingsw/6 f5ukwjcnf q80 obr;/2kr 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 oscillat2 4*ys0 qeu axpifi6u+es on a horizontal, frictionless track. At t= 0, the masy su0 x+qi2ep 4fiua*6s 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 complethty q yy*:zq.9,mb t( ;qezal.7mrn;ae swings in 8.0 s. (a) What are its frequency and period on Earth: e7 .bayqlytnt qym ;m .z(9aqrz;h*,?

  A 3.00-kg pendulum is 28.84 m long. What is its per,ulqg io3 2/bkiod on Earth?

  A pendulum has a periodtnn,-gl2o9dz jsa8gc+ -,ajcgg , (st of 2.0 s on Earth. What is its length?

  The pendulum of a grandfat8d4mflah4 * qw ( +ft*o.dvrvaher clock is 1.0 m long. What is its period on the Eart4r m4dv*f oh.a* (l+v8t dfqwah?

  The pendulum of a grandfh;jv f g bre;5+gwi1+gather clock is 1.0 m long. What is its period on the Moon w1;ih5b+j wve g;+g rgfhere the acceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attached to a;n: vbhc x1. v ou193puzqxtj/ 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 result.ct1 3vbxx nop; z1/hvuqju:9ed if a 0.50-kg mass (same diameter sphere) had been attached to the string instead?

A simple pendulum consisting of a 20-g mrx e74;ylaw0zgh(b9 b.t :5isot 7 ieqass has initial angular displacement of 4it;5.hqazbwr s( te:0e gy7x79 bi ol8.0e. It oscillates 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 wave at a given time. The f lw5t6(izl hd(requency of the wave is 120 Hz. What is the amplitudeh(6l ldtizw5 (?

  Figure 11-2 is a "snapshot" of a wai8khl;ir. .tpve at a given time. The frequency of the wave is 120 Hz. What is kp.htrl8;ii. the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a givqdl-g/-ka3 so )w7ib hen time. The frequency of the wavelksi3g-bqd)h/ ao w7- is 120 Hz. What is the wave speed?

  What is the frequency o *sd.1vt mha /pqmew/d8z-k/sf a wave which has a period of 6.00 ms?

  What is the period of a wave with a frequency r4,p/ra km zf/5+o*zl 8zk olzof 1500 Hz?

  What is the wave speed ybn*:jvs0 0ikbiahs fy y79 /.9x .nytif a wave has a frequency of 12 Hz and a wavelength of 3.0 mxn9y/ybfn.yi :*i 7 h90j.ystbavsk0?

  What is the velocity of a waa *mm3 9hdmpfud.pl z5-/l xc4ve that has a wavelength of 3.0 m and a frequency of 12 Hz?f4dax3 -hp.9u 5pmlc*mld/mz

  What is the frequenc ej . 7wdnbb)36jza+cly/+wlay of 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 13m 33 xpc,aju2t50 N. Whamcxj 233a ut,pt is the wave speed?

  A string of linear density 6.0 g/m is under a tensionjs((8b(//24frv a dv /hc1gv vozz pob of 180 N. What is the velocity of propagv8((rv2/1 s ofg dh/b 4ozbvvpaj /c(zation of transverse waves along the string?

A wave whose wavelength is 0.500 m is traveling down a 500rfe b6*q et*zocfkx)s t,-7d; m long wire whose total max;f* tdcz)f6boq -7s,ke e*rtss 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 transvere,8avm3 h d* hcxd2od)se wave on a 2.0-m long string fixed at oda*mdv, 8dh2 3x ch)eboth 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 Hz, which one of w78vvq3v h+;i vz ;rggthe following frequengwi;r q7v vvghvz; +38cies can set the string into resonant vibration?

  A stretched string is observed to have four equal segments imj3n03z ann : )c,7vkzznnl1on a standing wave driven at a frequency of 480 Hz. What driving frequency will set up a standing wave with five equal se3vn) :znj7l aom n13nz0c,nzkgments?

  A string, fixed at both ends, vibrates at a f.e9zw :wu .ssr 6r-)t00a lm7gjazie orequency of 12 Hz with a standing transverse wave pa7e0i 9 wre.tus.zam-6r g0 ol js)zwa:ttern containing 3 loops. 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 of .ho nm jlguq 2ptt(20-20 N. What should its length be if its fundamental resjl -mougnhtp0.tq2 2(onance frequency is 220 Hz?

  Find the first three harmonics of a string of linear mass density 2.92 )sbgk3,m zyoi( mx4+tvzzs 00 g/m and length 0.600 m when it is subjected to tension of 50.0 (zmg4bm,9+so2)xzz stvky3 i N.

A string of length 2.5 m is fim f05 -v h 4rpr9u9uc-d:1dnxz2a dedexed at both ends. When the string vibrates at a frequency of 85 Hz, a standing wave wip-n5 ree 4 :9-fu1hvxrz2dum90 dcdad th 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.