The time for one cycle of afc 9w9vf37mkseh23ob periodic process is called the

  For a periodic process, the numcmzeb v u;6 f6p+)kj*sarnw.- 3o0aowber of cycles per unit time is called the

  For vibrational motion, the maximum displacement from the equige:dt5fn(ocb2msj bro ,hp+: v-fq -w w2q6r5librium point is called d6q+(-epbo o nfh ,2v- r5bq:ctf5gm:2wjw s rthe

  A mass on a spring undergoes SHM. When the mass is at its mi,z1 ie 3l .,+xoqukcu;ac kv4aximum displacement from equilibrium, its instantaneous veloc.c e4ziio,3 ,kxvu +u;a 1cqklity

  A mass on a spring undergoes SHM. When the mass passes through the equil8 oikxrhxt+ j b2sh6t3;*f7f librium position, its instantaneo ;jrlho 6sktxh7f2i 8bxt*+3fus velocity

  A mass on a spring undergoes SHM. When the mass is at maxim2.c q h+o80e y of0hw6u93id8foxdd hwum displacement from equilibrium, its instantaneous accf wx.hcdo3829wf d0h u y6+o0doi q8eheleration

  A mass is attached to a vertical spring and bobs up and down betweeewl/px h b l0g0zn7w);n points A and B. Where is the mass located when its kinetic energy isw;l)e0gxbwhzl n0/7 p a minimum?

  A mass is attached to a vertical spring and bobs up andq5w;; c, ntc*8bi d7 tjyrh)lr down between points A and B. Where is the mad)y*n5b t ;l;,ccr wtr7j i8hqss located when its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up arx6m+u 4b tm8vg.n q)lnd down between points A and B. Where is the mass located when its potential energy isxg+lm b.rn64 8qtvmu) a minimum?

  A mass is attached to a vertical spring and bobs up and down between points A agfk7 /)xtvndula)c +5 nd B. Where is thel5gk t d7a/xn+)cf u)v mass located when its potential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and--y *wdjxkele in)1(qeujm*8+ spring system produces what effect on the system's mechanml*ye ) d qe+j* ewuixjk8(1-nical energy?

  Doubling only the mass ouhbn. 5m himxq81.( kfulh3(kf a vibrating mass-and-spring system produces what effect on thehn3 fil(.hmuh(u85k k. b1qm x system's mechanical energy?

  Doubling only the spring constant of a vibrating mass-and-spring system pro(knh6m+7bpq j duces what effect on the system's mechanical energy?7 (j6mk+bhpnq

  A mass oscillates on the end owe7 k*t if4j,pf a spring, both on Earth and on the Moon. Where is the period the greatest47jf et,ik*w p?

  Increasing the spring constant k of a mass-and-spring system causes what)z- i + fpmmwgfy50j-x kind of change in the resonant frequency of the system? (Assume no wp m)-i yf0g+z5m xj-fchange in the system's mass m.)

  Increasing the mass M of a mass-and-spring system cause(0xs: anus1q es what kind of change in the resonant frequency of the system? (Assume no change in the system's spring0as( : 1neuqsx constant k.)

  Increasing the amplitude of a mass-and-spring system causes what kind of change 2ufyhw z2p d2nn s-01mn*pu-f-efp /ti/f22 n1yfs pw*-0 ue -fmntp-up2hndz n the resonant frequency of the system? (Assume 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 stringi,dg r dea70a6 of length L. For this system, wheirdg6 ,ae 70adn undergoing small oscillations

  When the mass of a simple pendulum is tripled, the time required f 3 *s ybifgb )rsvk3(t)7cfa+gkbne4.or one complete vari+vs.g sky*4kbf ) )3c ebgf(nb73tibration

  Both pendulum A and Bl/w;u8lm(cqsw q0il1 are 3.0 m long. The period of A is T. Pendulum A is twice as heav lsim;8(l wwcq/lq01uy as pendulum B. What is the period of B?

  When the length of a simple pendulum is tripled, the time for one completei0 i,gv9et jgwa.2 e,v vibratgg9e,e2t,vj0wv. ii a ion increases by a factor of

  What happens to a simple penduluwy,r6l px /q*fze:d4cm's frequency if both its length and mass are increasr4/c : *y q,zdlp6ewfxed?

  Simple pendulum A swings back and forth at twice i8 m86gk6kq cwthe frequency of simple pendulum B c8wkm6giq 86k. Which statement is correct?

  If you take a given pendulum to the Moon, wheoys2)qw)ul+ s3xsvb )mf ,5gbre the acceleration of gravity is less than ogfv s5qs ))x )s,wy+ub3obml 2n Earth, the resonant frequency of the pendulum will

  Curve A in Fig. 11-1 represenm. ;.iq h 5ax0x lmwk;(0 wrrrxdbh2 .ngjr4u:ts

  Curve B in Fig. 11-1 r ,yiwd 9,v8ojqepresents

  Curve C in Fig. 11-1 represent0/ g6cqx8ru;fat)epu s

  For a forced vibration, the amplitude of vibratqs f+(d-rmj ly5fx kqz5)6b: pion is found to depend on the

  In a wave, the maximum zkr6x)r/r4j28 doeho displacement of points of the wave from equilibrium is called the wave'z)o6r8r/ derkh4xjo 2s

  The distance between 2u (: bybrsf hyqhu;yl75d1.jsuccessive crests on a wave is called the wave's

  The number of crests of a wave passing a point per unit time is called the wavee9x +qi pp3xiom5t9 (t8vyk9a's 3q xxv 9(m k9t8atipp5yie+9o

  For a wave, the frequency times the wavelength is thx g1,ah s*t5sbwkkrf2 1+y*ro e wave's

  The frequency of a wave ina (abcjc.7t nx l cy371roev:4js0wa4creases. What happens to the distance between successive crests wo74tjev4 bsa 3ajc c7: .n(a0l 1yrcxif the speed remains constant?

  A wave moves on a string with wavelength l and frequency f. A second wave on6m4p5jmnjn vs6 .z7k:4amcue the s 6 zna:5mvpm4.j6nkj7s4 ec muame 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 vey0xbckt .84 k6s4o nof length L, mass M, and tension T. A standing wave is set up. Which of the fol4yxkk be 0t46s8nc.o vlowing is true?

  A string of mass m and length / w,ojmyl n8yqt2.w0w2jbm22svrdvwj,q3t3 L is under tension T. The speed of a wave in the sr .qv,n2bwd,t03mj2y/j3v2y 28ljmwq wtsow tring 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 leng +*aub ay:fdiido9y vx* 0+s7ath L is under tension T. The speed of a wave in the string is v. Whatb**+fd0i+oad:axa us v9yi 7y 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. Tx4 p8ps;kvqw (he speed of a wave in the string is v. What will be the speed of a wave in the string if the pv q8ks4w;p x(tension is increased to 2T?

  In seismology, the S wave is a transverse wave. tkbu 628j x-j) cncw-*wmm 7iv As an S wave travels through the Earth, the rewikjnc mxj-b-m2)v6wtu* c78lative motion between the S wave and the particles is

  In seismology, the P wave rcb ut .3fabz48,/sgiis a longitudinal wave. As a P wave travels through the Earth, the relative motion between the P wave and the particlz3,utfca /4bs r8gib.es is

  The intensity of a wave io4g fj930aw q*aqxo,os

  A wave pulse traveling to the n5me,urtp0zcci9aqsm 7s5 3i02w; sgright along a thin cord reaches a discontinuity where the rope becomes thicker and heavie3 5s,9wc 0r;siup igzmnamt20eq57csr. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pa8s5v3bt rp72tuyyc g m-hi;j) ss each other on a string, one is traveling toward the right and the other87g 5h jvicsm-tu) 3y rt2yp;b toward 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 tra1qwaf 1o1j6 7o)zfqdfveling 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 occupy the same region of space at thf1zoo1671f ad q q)wjfe same time

  Resonance in a system, such as a string fixeb:0z3jm baj; id at both ends, occurs when

  If one doubles the tension in a violin string, the fundamental frequzxwy, 2/l) smiency of that string will increasm,)l/i ysw2 zxe by a factor of

  What is the spring constant of a spring that stretches 2.0 u+4 d -cj.u0f0iuknti0 cm when a mass of 0.600 kg is suspended from it .jt0k0-n fuuiudi4 c+?

  A mass is attached to a spring of sp+ 0 m5dvehs f)h.w+yzering 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 +mh0e+sy ze )wvhd 5.foscillating. What is the amplitude?

  A mass is attached to a spring of spring constant 60 N/m along a horizonti* 3hfhsb/d-4pix lq/ al, frictionless surface. The spring is initially stretched by a fiil4hxs *h3b/ df-qp/ orce 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 spring constant 60 N/m along a horizontag ckh34mh) c)wl, frictionless surface. c4k3 wcg)h hm) 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 frequency of oscillation?

  A mass on a spring undergoes SHM. It goeso6.nshpxibv a-1x) 0z through 10 complete oscillations in 5.0 s. What is the b0h-z xos 1 .x)vn6piaperiod?

  A mass vibrates back a-r091 4*nb gc er wep1p13xa)xlnwop9val/ kpnd forth from the free end of an ideal spring of spring constant 20 N/m with an amplitude of 0.30 m. What is thexp-a 9vo1*0x/pnl 4ppcrk1e1eb3 )rwlawg 9n 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 sve1i 8h z, mhli3*6kcepring of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in zi6 3c8,e*ih1 helk vmsimple 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. 9pwrv)m7y4dlj 3iw /g The energy is 8.0 J at this time. The mass is cut in half, and the system is again set in motion with amplitude 4.0 cm. What is the energy of the sys7/vj9p4l) wg m3wyri dtem now?

  A 0.50-kg mass is attached to6nz-nb**x g gcb2ko f. a spring 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 equn bnbx*g gf. o62*czk-ilibrium position. What is the amplitude of vibration?

  A 0.50-kg mass is attached to a spring of spring cbfc, dbui.**f onstant 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. At what location abfbfi . d*cu,*re the kinetic energy and the potential energy the same?

  A 2.0-kg mass is attach9jli). k:k 3d9uibnbly4abh 9 ed to 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. What is the total ma ldbj9 ink4ih39 : b9ubylk.)echanical energy of this system?

  A 2.0-kg mass is attached to the end of a horizontal springtup */p (qpu/;d6n 0xwj:u xb f7pm8np of spring constant 50 p j:bp06pu8/7up p *x wdf;(tu/nxnqmN/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 idealk lro /t)o8 px8ef9xn6 spring of spring constant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kinetic energy of t e9orl)potfkx/ 8n8x 6his vibrating mass?

  The mass of a mass-and-spring system is d u,+g(8kmpmgwp.f0 ki isplaced 10 cm from its equilibrium position and released. A frequency of 4.0 Hz is observed. What fm(wgku8. k,mf ip 0g+prequency 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 spring constant zbtt -(g vvbcl+(a(2t re 7lr-10 N/m. The object is (t7eb2tgv--b l c+al(vz trr(displaced 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. n,w, r b6/ukcq The object is disp k/wr6bc,,nuqlaced 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 const,rejfeuzto3:m9li 8.ant 18 N/m, displaced slightly from its equilibrium position, and released. What is the frequency of its 9oeu zflmt3 e.8r,i:j vibration?

  A mass is attached to a spring. It oscillates at a frequency of 1.27 Hzhh dt;xsj* cfr3d( 4:w when disrhs ;dhdw4jx3(:t* cfplaced a distance of 2.0 cm from equilibrium and released. What is the maximum velocity attained by the mass?

  Two masses, A and B, arev.z2g e mg2wv,0y8gyf attached to different springs. Mass A vibrates 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 does the maximum speed of A compare toyv2ygg,vmg28wz .0 f e the maximum speed of B?

  A 0.30-kg mass is suspended on a spring. In equiij:gq .ydh2+yrxm r 14librium the mass stretches the spring 2.0 cm downward. The mass .mdy +r1gjqi 2xyrh4 :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 suspw-5f82s:jwcs y+z d ovended on a spring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance zwc y8: w -dfjs5v+2osof 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 tgtac)s*/. rb e8+1v:tp ;gjfviclz y+g9zna ( he spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and relec;+zt1a*gyv+8 p va.stg)9rfice :gn/z l( bjased from rest. Write down its equation of motion.

  An object in simple harmonic motion obeys the following position cks 9b8w 2sp;f*9d5wdvcmo +mversus time equam m cd8;92 fcbsw+ovdk* 9sp5wtion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following positioaa xqlj32 a))mn versus time equaj a3m)lax2) qation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obm bl7lp2i))hleys the following position versus time equathi l) bml7lp2)ion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple harmon wk x(frdgq*95ic motion according to tkqfgwd rx(*9 5he 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 forcso4, edzuv3 -se constant of 20.0 N/m oscillates ons, 4z3eu-dsv o a horizontal, 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 swings in 8.0 s. (a) What are itsavqf7wfk-7/6ig k+ qt frequency and per7vk +tf6/ qai 7kg-qfwiod on Earth?

  A 3.00-kg pendulum is 28.84 m long. What is its periohdw,i(2 uv(q c8bo d*ed on Earth?

  A pendulum has a period of 2.0 s on Earth. What is its length?;l6k7 68 udbwg4h6pma mnru+ pt55gh v

  The pendulum of a grandfather clock is 1.0 m long. What is its period on the x mtgnc8-1f/vEartf gc-8tn/ vmx1h?

  The pendulum of a grandfather clock is 1dga3 gv78 su:q1q g)l,x5zs5sd 0yfd n.0 m long. What is its period on the Mo0 85s xq:7uvfq5n)z,g l1 ysdgad 3sgdon where the acceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of+ xkut9nyz3( 5z8 wl0vzpei ;gx(hj r4 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 resulxzu+ wyitz 4xn k 5g0( 39ejrh8vz(p;lted if a 0.50-kg mass (same diameter sphere) had been attached to the string instead?

A simple pendulum consisting o;hws e,,dt-e * n/tajcf a 20-g mass has initial angular displacement of 8.0e. It oscillates with a pe/-tc ,netewsd*;h,ja riod 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 99 9zaii y4f duc11.bkq.os9pmyft4 krequency of the wave is 120 Hz. What is91yf91.iaio99k .4cqmzky sf4p tbdu the amplitude?

  Figure 11-2 is a "sn6cusi,2z4al b,ogk:h apshot" of a wave at a given time. The frequency of the wave is 120 Hz. What is the :,hos64bkiul,az cg2 wavelength?

  Figure 11-2 is a "snapshot"h8zqiq: hcoa;g1 bt:b8-qg ,e of a wave at a given time. The frequency of the wave is 120 Hz. What is the wave speedoec:a8:1 gzqbghqq- , bh ;8it?

  What is the frequency of a wave which has a period of 6.00 *wdqed , t yii8f48+dxms?

  What is the period of a wave with a qj 2 ekii 2f,e/:dhc(pfrequency of 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz w;awx1od.cnl;.y f q1 and a wavelength of 3.0 c 1dlnfwxw1qa;y o ..;m?

  What is the velocity of a wave that has a wavelength of 3.0 m and a henoxtslzzhq 75-;m, *s mp5uz*g*5u frequency of 12 Hzml5m qgnz 5s x h,*5*euz;-hu*tozps7 ?

  What is the frequency of a 2.5 m wave traveling at 1400 m/5:be8 a0 76e svvewkwps?

  A piano string of linear mass density 0.0050 kg/m is under a tension of 9 to(;s qkc r:r-3aljb1350 N. What is the wak3l :(rorqc -t ab;s9jve speed?

  A string of linear density 6.0 g/m is under a tension of 180 N. Whe xsj1yv*f2* ulew0;o4zmf4 jat is the veloci2ue1lom j4*;vz0je xf4ysf w*ty of propagation of transverse waves along the string?

A wave whose wavelength is 0.500 m is traveling down a 50 gw.so f gzy mo47;28j,z(mlhd0 m long wire whose tota.jhoz 8m;ymsw (ldgz4f g7 2,ol 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 bojp95p-mg g:d6nr3w4b ol7f of a transverse wave on a 2.0-m long string fixed at both ends is 200 m/s. Which one of the followpd -:rg9lgj mpbn74fo5ob3 6w ing is not a resonant frequency of this string?

  If a guitar string has a fundamental frequency of 500 Hz, which one of the flj)1nx( c(/ jze x/n1dvmx 6mpollowing/ln1xe j1( m /()dn6mpxxvj cz frequencies can set the string into resonant vibration?

  A stretched string is observed to have four equalx/mks-7gl (4 t9 q:gr/b wyanx segments in a standing wave driven at a frequency of 480 Hz. Wy qsg/x7 krbl49g:-wt(m a/ xnhat 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 with apr1e rhz6x ffc-:-cj1 standing transver6ez jc-1 :xh1-crf rpfse wave pattern containing 3 loops. What frequency is needed if the standing wave pattern is to contain 4 loops?

  A string of linear den (ccoom 0ec8-gwl,jm)sity 1.5 g/m is under a tension of 20 N. What should its length be if its fundamental o8j ,cl gce0)m -woc(mresonance frequency is 220 Hz?

  Find the first three harmonics of a s0,q-evgq 31drgvi 9lhtring of linear mass density 2.00 g/m and length 0.600 m when il3 9,r q g0egqdv1-vhit is subjected to tension of 50.0 N.

A string of length 2.5 m is f )*h+ji8djmid9iut :rixed at both ends. When the string vibrates at a frequency of 85 Hz, a standingriidmj8:9jt id*u) h + 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.