The time for one cycle 0w ,)xryal6 rlcm;4dr of a periodic process is called the

  For a periodic process, the number of cycles (8h fbfbq.1i arrk:u,per unit time is called the

  For vibrational motion, the maximum displacement from the equilibrium l hsyxde1- 3udxe6e; +s3k,olpoint is called thyxellx+-d3se,s ; 3u ho k1e6de

  A mass on a spring undergoes SHM. When the mass is at its maximum displacemewd1i;o bl +0dgnt f+ 0igdl;obw1 drom equilibrium, its instantaneous velocity

  A mass on a spring unc(vkelb)ndu9y 2z+8 ndergoes SHM. When the mass passes through the equilibrium position, z) (d9v+keuyc8b 2 lnnits instantaneous velocity

  A mass on a spring unde4b o e+o2 1ycc0gp-eg oqb61igrgoes SHM. When the mass is at maximum displacement from equ6 ge+gpo b4boc1-eq 2oy i0gc1ilibrium, its instantaneous acceleration

  A mass is attached to a vertical spring 0or rr 86jpc(-h; ryxrand bobs up and down between points A and B. Wherep(rr6 roy;-hrjc x80r is the mass located when its kinetic energy is a minimum?

  A mass is attached to a vertical spring and bobs1o) eq0lwq(kql-dbxb qbv540 up and down between points A and B. Where is the mass located when its kinetic energy is a maxiqq e1klq00-dx(q5blvb wob4) mum?

  A mass is attached to a versx+ eb19v 4y;* tgyqcstical spring and bobs up and down between points A and B. Where is the mass located when its potential enss4cxb +tvy*1 ;yqge9ergy is a minimum?

  A mass is attached to a vertical spring and bobs upiw jo qxxj0)0mr.)3x/* hi5ejh x ;izq and down between points A and B. Where is the mass located when its potential energqxm)5 0q0wrh jiio; h* .e3j)x/x zixjy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-spring system pp :qh.7b9dp- 1zcnk hh6pzx8 broduces what effzppz- 8p hd b9qhknx:.c6hb1 7ect on the system's mechanical energy?

  Doubling only the mass of a vibrating ma2vljdxs se8jn/1)c1a ss-and-spring system produces what effecta/n ljsvx) j 8e12sd1c on the system's mechanical energy?

  Doubling only the spring constant of a vibrating mass-and-spring sykebmm )c *q+:rstem produces what effect on the system's mechan+ ckmbe m)*:rqical energy?

  A mass oscillates on the end of a spring, both on Earth and on the Moon. (uji:d* io1q37bswl rvswu + :tbziqju12+g+ Where is the period the grej q i+t2:g3zsw or uwib711(b *iu+sl +:vudjqatest?

  Increasing the spring constant k of a mass-and-spring system causew 4)p7r*ypcu 8xmga 6xs what kind of change in the resonant frequency of t 7)4xgr86mx* wy aucpphe system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system c zt6e0x)t/n5t1t tmc8irv kw.auses what kind of change in the resonant frequency of the sy8/kntw1)6tcx. e0t rvt 5t izmstem? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-sxf.m,(e udig4 pring system causes what kind of change in the refm(.,igu x4desonant 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 string of leer/iy+3b3drd9x np5 i95u ovs ngth L eb5 rr5 si9nd/ uvpyd33i9o+x. For this system, when undergoing small oscillations

  When the mass of a simple pendulum is 2*2usmvejio7k:en i.tripled, the time required for one complete vibrati 7i2ovem*2 e isjk.:nuon

  Both pendulum A and B are 3.0 m long. oknu: . 6x(2 ;hwvvczaThe period of A is T. Pendulum A is twice as heavyak:2c znvx(;.w ovhu6 as pendulum B. What is the period of B?

  When the length of a simple pendulum i3ny ml,d vj++:tkmass(sb)x 5s tripled, the time for one complete vibration increases b, sml 5:vda +ks3(mjnx+)bsyty a factor of

  What happens to a simple pendulum's frequexiw9s-u( 6tkpf+pg c3ncy if both its length and mass are increased?xg 3us+(cptk9fp iw-6

  Simple pendulum A swings back and forth at twice the frequency of srxh(j2uff 2i2w8g.82/k4cnwjg7gcb g- ehr fimple pendulum B. Which statement iu2hjihx fg2g 7we(cffr-g nr.j /w28cgkb4 8 2s correct?

  If you take a given pendulum to the Moon, where the acceleration o 0keqxs2v5 (/tfr ,*ble2ksonf gravity is less than on Ear2s*5lobr20fvsn e/qket xk (, th, the resonant frequency of the pendulum will

  Curve A in Fig. 11-1 represn jp1a 73m gacxr497l06 tyncfents

  Curve B in Fig. 11-1 representh3p (nhq)bjbhym,x w6bt8 :n8 s

  Curve C in Fig. 11-1 re 5ol.l j3hxr1cpresents

  For a forced vibration, the amplitude of vibration is fg22 l; /hbc) k+ rpyekwpw-;uq-khwc4ound to depend on the

  In a wave, the maximum d axta:r)*hm4p isplacement of points of the wave from equilibrium is called the wave's4at :*mah rx)p

  The distance between successive 5v ql3rlec86/bpp sw6crests on a wave is called the wave's

  The number of crests of a wave passing a point per ,fboougwa (o c qf;0o+mzlc)z n d1:8(unit time is called the wave'sl0f ,8muo (oz( b)gwcco1 n+;f:zaqdo

  For a wave, the frequency times t 9i0pp) p oh+xp7f;uq pd: i*,7lcxvrahe wavelength is the wave's

  The frequency of a wave increases. What happens to the disu day*bu ukn)ypw 6j0:8+ w s9z5jjxq0tance between successive crests if the speed remains co 0wxkj u:+j* pbz8qyds5 uj )6yna09wunstant?

  A wave moves on a string with wavelength l and frequedlr6z la8uonjy 1-(j +ncy f. A second wave on the same string (-nlz6o rjlad yj1 u+8has 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 tensione ,.o- 3jo2g n7hmtjfe T. A standing wave ij 2oth.jge-mo,3f7en s set up. Which of the following is true?

  A string of mass m and length L is under tension T. The speed ofny g:2w n3mtv2 a wave in the string is v. What will be the speed of a wave in the string t:gw2vnn 3 2myif 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 Tq)(wdoe9rs ,k . The speed of a wave in the string is v. Whaseqo(, rk9 wd)t 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 and7 t7oi8mb )(:ji p0 dpphpf*dv length L is under tension T. The speed of a wave in the string is v. What will be ivpp f 7)dp7( ohb0:p*tj dmi8the speed of a wave in the string if the tension is increased to 2T?

  In seismology, the S wave is a transverse wd/r d0ti-q-z 71qd e2yihv3ty ave. As an S wave travels through the Earth, the ry0 1qdzdt--iq 2 ry/id3vt7e helative motion between the S wave and the particles is

  In seismology, the P wave is a longitudinal wave. As pgk. xsw /3qhv67 xmn-a P wave travels through the Earth, t637x qg-xhk/.p vmsnw he relative motion between the P wave and the particles is

  The intensity of a wave-mmkoo lpuxovv/ 3e).q2 y0b( is

  A wave pulse traveling to the right along a thin cord reaches a discontinuity w5vuqbjjh55qq (xst7e ya7)o; here the rope becomes thicker and heavier. What is the orientation of the reflect5jaujqo 5bqv;7t hse7xqy() 5ed and transmitted pulses?

  Two wave pulses with equal g.c/6*4gojy sw7ufr z positive amplitudes 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 at tfwzu.*go 4 r6cys7g j/he same time

  Two wave pulses pass each other on a string. The one traveling towa7i95 +nv-cxi-wqy ,w)xz cwh trd 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 the same t-ix z xhycc)nw-ivw7 + q9t5w,ime

  Resonance in a system, such as a st,fmo95oka6ijy;dx w0 ring fixed at both ends, occurs when

  If one doubles the tension in a violin svbfqa+)6 -(mzvx pbvrf (/u/qtring, the fundamental frequency of that string will increase by ar(z-(uv6qp xqfm v+af/bv) b/ factor of

  What is the spring constant of a spring that st l0--hooerc;ehb t1x9retches 2.00 cm when a mass of 0.6o-hx; re0c1bohl9- te 00 kg is suspended from it?

  A mass is attached to a spring of spr3b o..0h yfnpwqv 8fn;ing 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 equifyn q0v83nof.p wh;. blibrium position when it is oscillating. What is the amplitude?

  A mass is attached to a spring ai7 ik*k,fqva (lrpoy*n.1 1jof spring constant 60 N/m along a horizontal, fricva1 lj. ayn okkqfri*17p*,(itionless 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 period of oscillation?

  A mass is attached to a spring of spring constant 60 N/m along a horizm1.t* 25p0ynbn8pbfms.q8uy hj.e nwontal, fricte5...wbpn2bf yjnn18 qptm smh8u0*y ionless 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 frequency of oscillation?

  A mass on a spring undergoes SHM.c vne2)l9 9hv9pafd4i It goes through 10 complete oscillations in 5.0 s. Whati9h aedp2)vf 49cv l9n is the period?

  A mass vibrates back and forth fxpf 7f d,n--sume5tn 6rom the free end of an ideal spring of spring constant 20 N/m with an amplitude of 0.30 m. What n,tuf-nf6x de pms5- 7is 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 sp *)q;k6mgdj:f xna*)x j f2wctring 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 is the total energy o)xdx :f* k2)ng 6qj;wt jfmc*af the system?

  A mass undergoes SHM with amplitude of 4 cm. T0y5pad.v) p-q5fhbgu he energy is 8.0 J at this time. The mass is cut in ha-h) d qg0ab fp5y.u5vplf, 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 attached to a spring of spring constant ifbbk,eh8 j5520 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motiieb f855b,h kjon 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/ta*1s-,k u4rh/h+vy ;bcvh9 mf f*ewhw*3hu vm 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 are the kinetic energy and thek9 vhv whwm,rveuf;t bhf+sh*1cya* h*/ -u34 potential energy the same?

  A 2.0-kg mass is attached to the end of a horizontal spring of spring co5e )vtnnn.dw/nstant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the total mechanical energy of this wd)tn ve.5nn/system?

  A 2.0-kg mass is attached to the end of a horizontal spring of spring cons);aop 1d-7erljmc:yiwuq -(ztant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the total mechan(i7 1durleyq-- cm a;p)wzo:jical energy of this system?

  A mass vibrates back and forth from the free end of an ideal spring of s.ukd17*p ( db*wkia ulpring constant 20.0 N/m with an amplitude of 0.250 m. What is thedk7la *b.k*up 1(wi ud maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring system is displaced 10 cm from iteo(ga6g z6c9ns equilibrium position and released. 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 releasa ng( co66e9zged?

  A 4.0-kg object is atforhgl p2t;30xg iv9-tached to a spring of spring constant 10 N/m. The object is displ3lf o;xh2r0gv9it pg-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 constantn-/n pg; u9zmalhc9,7tn5 rfi 10 N/m. The object is7c9t ;n,nz /9 lprh-mfgua5i n 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 spring0 i,rqvo5j 9r1(uhkrg constant 18 N/m, displaced slightly from its equilibrium position, and released. Whhi9q0j vkgr u(5o1r, rat is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequency of 1.27 Hz whentcv0w0 v)rsxuwh*- p. displaced a distance of 2.0 cm fromvtuv)s0*-wc0rh. w px equilibrium and released. What is the maximum velocity attained by the mass?

  Two masses, A and B, are ato6ujgsg7gd17l a bd,yg +a;zl(a 21so tached 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 to zulsogd(;2gj711ga gab al7,d ys+6o the maximum speed of B?

  A 0.30-kg mass is su p0x:a1vio6z 9 )rt3ohj4ivlxspended on a spring. In equilibrium the mass stretches the spring 2.0 cm downward.ipov9j 3 ri)xatzloh4v0:6 x1 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 the mass stretcie9*jz0+::vgz jlu riqqq 3wx,y p)4zhes the spring 2.0 cm downzi v:,jx9y gj: ) pqq u03q*+rzle4wizward. The mass 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 suspend/4 bb-d9 ma +ffoe;szymi;k6 ded on a spring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then 4dk-/ ;de z69 asyf+obbfm;mipulled an additional distance of 1.0 cm down and released from rest. Write down its equation of motion.

  An object in simple harmonic mi 1sye2 ay5csut+l5pa24v9 srxc m 84yotion obeys the following position versus time equasiu5xe+9p 5vs4ly tm c2412yrays ca8tion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the followin u,l3 i;0fugohe7 rr:zg position versus time equat rf3l z;hiegou0r u:7,ion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following posit(. zj,3s9 hj3v+ rd(uzlqwkxo ion versus time equ+j ,3zw9 j.kzov(qs (lxrhud3 ation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end ofz)ipdih.6 0e n a spring executes simple harmonic motion accorddiz0n6. ) iheping 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 oscillateser sq6nu42cx3/ pey;r on a horizontal, frictionless track. e;r/3ynq ue4s x6r2pc 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 i,jrr1 xe/ o-2 wf*r ry-fyw lr,0gsagj/j n49en 8.0 s. (a) What are its frequency and period ofwrar/nr rxe4g s,jw0gj* j,f1-or-/ey9 2y ln Earth?

  A 3.00-kg pendulum is 28.84 m long.d x *3;-onmwtsb9rl (ma6ih:njq50pv What is its period on Earth?

  A pendulum has a period of 2 u:3e zz)3t zu.,cyxku.0 s on Earth. What is its length?

  The pendulum of a grandfather clock is 1.0 m long. What is its period on the El5n87yrg ou 0(hujknyc9c9y8 y go0o0arth? u0 y0c8n9yku yy(7nr9 ocooglj5g8h0

  The pendulum of a grandfather clock is 1.0 m long,1kkxk c6qbp, . What is its period on the Moon where the acceleration due to gr,,p kck1qk6xbavity is only $1.7 \; m/s^2$?

  A simple pendulum co8mus omai*k567*akzrhy/z z-*+q e uinsists of 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 resulted if a 0.50-kg mass (same diameter sphere) had been attazhi8a r5m k*z eqmu/u7a6zi+ *oks *y-ched to the string instead?

A simple pendulum consisting of a 20-g mass has initial angulan (z)4wi(oh71u+q le/uf t wder displacement of 8.0e. )eiu du4( / wzq(ol+heftn1w7It 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":4omot9vw j ysbh.u34 of a wave at a given time. The frequency of the wavbj 9mo thsw4uo.4:3vye is 120 Hz. What is the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency of the w g2 p8nsy+l*z5yocwb;z) h,zq liqj6)xfq:l :ave is 120 Hz. Whacjhbzs5oq ,:)l *xl :zq ;zl8gwny q2)yf+pi6t is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given tiuokq 1k4yg p4hfu0s3 +me. The frequency of the wave is 120 Hz. What is the wave speeyqk okh410 pgfu+us34d?

  What is the frequencge+,7h ) wngxay of a wave which has a period of 6.00 ms?

  What is the period of a wave with a frequency of 150 np;z6 :3scru .recsk40 Hz?

  What is the wave speed if a wave has a freques,ehv p b:g* yjm6c52m cj8fb1ncy of 12 Hz and a wavelength of 3.0 m j c:6fsm28 b,mgp5hv1*cjeby?

  What is the velocity of a wave that has a wavelength 2:ai j;tmainjcbv/ 74mc1a+ qof 3.0 m and a frequency of 12 Hzqj;j /a:an2c71tm+iimv 4a cb ?

  What is the frequency of a 2.5 m wave traveling at 14z/k .8)ydje k6hzam r)00 m/s?

  A piano string of linear mass density 0.0050 kg/m is under a tension of 135ujujv8sl1pimw8z3-q( w 5f0q0 N. What is thpm 1 fjuw58i8uz(30lwsj-q qv e wave speed?

  A string of linear density 6.0 g/m is underz w(t chs28eb2 a tension of 180 N. What is the velocity of propagation of transverse w8(eh cbwtzs 22aves along the string?

A wave whose wavelength is 0.500 m is traveling down a 500 m long wire i-; h:bd nbrm4owy98u9u yk. d8wgz*hwhose totau ;9bu -gkyd. o*h4ynhwidbz8w9 8:rm l 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 toms /-2 pkfbr;ransverse wave on a 2.0-m long string fixed at both ends is 200 m/s. Which one of the followin;f/k o m2s-rpbg is not a resonant frequency of this string?

  If a guitar string hauop(6 yh8x;o ms a fundamental frequency of 500 Hz, which one of the following frequencies can set the string into resonantm6py uh;(8oo x vibration?

  A stretched string is observed to have four equal seg+xtb h,*)m7 em+0jfyrz ty.tnments in a standing wave dr.y)+emmyh*0f ,t zxnr+ t7t jbiven 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 fsd7lw z 9yi-*1 magt3jv6n 2hsrequency of 12 Hz with a standing transverse wave pattern containiw3dytg2 n*vm i-zs ha1lj79s6ng 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 ofnas,* ;0) vvz p9odnzs eqy70q 20 N. What should its length be if its fundamental resonancese)*z 97v n0qdvzs;q p,y0n oa frequency is 220 Hz?

  Find the first three harmonics of a string of li7 fetl g-q8s9q/y9wlanear mass density 2.00 g/m and length 0.600 m when it is subjected to tension of 50.0a-fts /7qq9 l ly89weg N.

A string of length 2.5*rv pd;w8rb+r m is fixed at both ends. When the string vibrates at a frequency of 85 Hz, a standpbdr8 +v*rw ;ring 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.