The time for one cycle of a periodic process is called ty3ia any0 w0/zhe

  For a periodic process, the number of cycles per qcf86(p njhop2fd 1g: unit time is called the

  For vibrational motion, the maximum di yi7f;wzonjl/nu68f 0 splacement from the equilibrium point is called th ozlnf/;fjy u0i86nw7 e

  A mass on a spring undergoes SHM. When the mass is at its mual1 apaa9v2qf69y:t 8al.x q aximum displacement from equ:laqt xa1pq 6a2va98f9auy.lilibrium, its instantaneous velocity

  A mass on a spring undergoes SHM. When the (cc .pkavq7;t9 rkffw t/1ba, mass passes through the equilibrium position, its instantaneoufv(cr/97b1tkp a;kc faqt., w s velocity

  A mass on a spring undergoes SHM. Wheo--sdz fg, ea3 ui/o,dn the mass is at maximum displacement from equilibrium, its instanto/iezs ,ad3 uo-d-f g,aneous acceleration

  A mass is attached to a verticalrv ,5fqkive+y;p2 8f d spring and bobs up and down between points A and B. Where is the mass located when its kinetic energy de vq+rf f8 ;kp25vi,yis a minimum?

  A mass is attached to a verticajxt7 vkw 1t)r7vvwvd6l6 d-+a( rnte +l spring and bobs up and down between points A and B. Where is the mas+rn- t )t ke vx wd+tj7(l6v6d1wrvv7as located when its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up and down between points A a4unv7 d,i, vvyvzec 2y)x - b),m;txgind B. Where is the mass located when its potential energy i-;)4v xdi) eni b vm7,gyc,,ty zvux2vs a minimum?

  A mass is attached to a vertical spring and bobs up ay fs2h ;dtg1o7nd down between points A and B. Where is the mass locat h ;1sdofy27gted when its potential energy is a maximum?

  Doubling only the amplitude of a v kc qf(x8qphb/miif65 )s;e *cibrating mass-and-spring system produces what efq/bkci fm* )ps5ic8h;( 6ef xqfect on the system's mechanical energy?

  Doubling only the mass of a vibrating mass-and-spring system primf5 -s;kgsm+8l5i qv4 lgq0qoduces what effect on the system's mechanical ev s;gs58gmkf0l5qiqml4+ i q-nergy?

  Doubling only the sprinljqj36h61tvlf(jj ,.m g,i pog constant of a vibrating mass-and-spring system produces whqpm3ljth(g o j jj,v, l6f6.i1at effect on the system's mechanical energy?

  A mass oscillates on the end of a spring, bv+x)p vcikl)9 q5i :txoth on Earth and on the Moon. Where is the per :5 clkqxtivx) i9p)v+iod the greatest?

  Increasing the spring constant k rdpp+0rr 2rxrja7aiu .,)tr + of a mass-and-spring system causes what kind of change in the resonant frequency of the system? (Assume no change in the s2 r,utdr07prrrraija x )+.+ pystem's mass m.)

  Increasing the mass M of a mass-and-spring system causes w zzo i;y:t6,kr +bq.3pad0wia /y:prnhat kind of change in the resonant frequency of the system? :.a03rr yz6p pow+ntb: dy;i k, /qiza(Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system causes whatd2tpsfk,kn )) kind of change in the resonant frequency of2)sn)pfk, t dk 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 strin2z qmdg 585+jy-cmejig of length L. For this system, when undergoing sm5y mm ie+85-j jg2dczqall oscillations

  When the mass of a simple:msv+am7: .mikx 1fks pendulum is tripled, the time required for one complete vibraa:imskk:xv sm7m.1 f+tion

  Both pendulum A and B are 3.0ct o:z*(r(3uw cq*o2 ppj*za v m long. The period of A is T. Pendulum A is twice as heavy as pendulum B. What io*:ztq*2pzuv*cj(owar3 p(c s the period of B?

  When the length of a simple pendulum is tripled, the time for one co9i00 fqngp 7r yljew+:y4nr2kmplete vibratn:fwr2yge n 4qjpikyl070r+9ion increases by a factor of

  What happens to a simple pendulum's frequency if bothm1: ow kdyg,c) tc0s8s its length and mass are increas ckd sy:0),tgm8 swo1ced?

  Simple pendulum A swings back and forth at twice the frequency of simb .smql- cqt:1ple pendulum B. :cl 1q.qmtbs-Which statement is correct?

  If you take a given ge yhghie2 r3e9d7)a0 h8xv n(pendulum to the Moon, where the acceleration of gravity is less than on g n0r7exhhh839ed(v)ge2 yai Earth, the resonant frequency of the pendulum will

  Curve A in Fig. 11-1- g75tt5ez djv represents

  Curve B in Fig. 11-1 rep 3zmlgtlq d,**resents

  Curve C in Fig. 11-1 representr(ygpdg he1gs7*64d gs

  For a forced vibration, the amplitu2aytvgbvg0v l0g2,15j qdnj (de of vibration is found to depend on the

  In a wave, the maximum displacement of *(n *qkyl r cygd6vqic84x;bdf66 :mppoints of the wave from equilibrium is called t; g(bqdnqkrc:6 6 yy8cix mp46* vfdl*he wave's

  The distance between successive crests on a wav u3+9,4fbeqqgiei:rtxx3f8u/ ekon(e is called the wave's

  The number of crests of a wave passing a point per unit time tp1 , nih: -wkkz4jgbw/lzpk5.w6 l7nis called the wave'sn zz-476ti / kpw pgwl1k5lnjb,kw h.:

  For a wave, the frequency times the wavelength is the wave'stgq 4la-7jqhn s2nw8a4f w)h2

  The frequency of a wave increases. What happens to the distance between succe gi8wbarq+x91ssive crests if the speed remains c8a9w+gx bq i1ronstant?

  A wave moves on a string with wavelength l andog sbz , ,hx8pji;:c3p frequency f. A second wave on the same 3j g,hp,c:i ;8xopz bsstring has wavelength 2l and travels with the same velocity. What is the frequency of the second wave?

  Consider a traveling wave on a stifq x79w9 fn;sring of length L, mass M, and tension T. A standing wave is set up. 7ws f9q9xfni ;Which of the following is true?

  A string of mass m and length L is under tension T. The speed of a wav3agpit. emc0m( xy54he in the string is v. Whatp xem5hatg m(0c43 i.y 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 oyi 2b e3l . zim.tx(jal+q0p0if a wave in the string is v. What will3piit z(ei0 b.aqy m jllx+2.0 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 lenz-0v4vc4jx8 sh oy)w5zkwyj( e s24tbgth 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 s-wzyj85stc y4)h 4(vwxb2e40 vjzko the tension is increased to 2T?

  In seismology, the S wave is a transverse wave. As an S wave travelt0z)sn* hj jty;kd rx0kjt: (,s through the Earth, the relative motion between the S wave and the parzx;dtr,kys( jtk)* 0n hj:tj 0ticles is

  In seismology, the P wave is a longitudinal wave. As a P wav7 x qllu7h9g*p,q3t nme travels through the Earth, the relative mq*px7ngt ull q,3m 97hotion between the P wave and the particles is

  The intensity of a wh+lcvo7 o; o)yzc q5/iave is

  A wave pulse traveling to the right along a thin c8ed4:8u :3qy re il phbkk4:fcord reaches a discontinuity where the rope becomes thicker and heavier. What is tdquypkc848er b eh:li4f:k:3 he orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amec18yz qtvm +3plitudes pass each other on a string, one is e 3c1tzmq8vy+ traveling toward the right and the other 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. i,o 7poq2cu0y The one traveling toward the right has a positive amplitude, while the one traveling toward thq7o u,0iy2 cope 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 fixed at both ends, occur/.qg 6xa,vg y9hy o g msfj.exisk;.(5s when

  If one doubles the tension in a viosg*x,8t1w kp/,)mfyx hbznn , lin string, the fundamental frequency of that sth twx8,, skzpn gb)/*m ny1x,fring will increase by a factor of

  What is the spring constant of a spring tha .8gjvmip, -hqvym5 4ht stretches 2.00 cm when a mass of 0.600 kg is suspended from ih5 vhg ,-p8 jym4i.mvqt?

  A mass is attached to a s.j*(qev2spxgt x5mwrql*e qwf; 5 4ia/l 7) uspring of spring constant 60 N/m along a horizontal, frictionless surface. The spring is initially stretched bys(*.gpi 5mx*;w2vq4ut q 7aelsfr/x5 we jq)l 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 consta)2 *wyp3*3r okifh vxznt 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 ma wr3*k3i)* 2ozvpfh yxss 0.50 s to go back to its equilibrium position when it is oscillating. What is the period of oscillation?

  A mass is attached toz3si81dzh) q2w1aj6e6 j bi2nhd ;uel a spring 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 a s 6h8qjzz3u6dd2wl1iaiejh)ne 1 2b ;nd 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 th3k3 clq ,e/x3d .vqj3e:eaitd mij:j8rough 10 complete oscillations in 5.0 s. What is the peiiv8 /3 3j:kje 3d, aeecm.td:jqq3lxriod?

  A mass vibrates back and forth from the free end of anldg8vi- 5 -txv ideal spring of spring constant 20 N/m with an amplitude of 0.30 m. What is the kinetic energy of this vibrating mass w gid-8 lvxt5-vhen it is 0.30 m from its equilibrium position?

  A 0.50-kg mass is attached to a spring of spring consta/ rxlub0 nk2*xnt 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 equilibrix*rb2 xkn/ 0ulum 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 frl27te0z(v:ik09 *n oltlei this time. The mass is cut in half, and the system is again rnioz2k :t f9i7t l(e *0el0lvset 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 co7 jp-r rfb4w9k /syn-znstant 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 ampryn4fb sj/r pwk-z -79litude of vibration?

  A 0.50-kg mass is attached to a spring of spring constant rlhu 5 0 *ig9t)epk4s5b(,jlqa :myv; lrhs8s20 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 are thy 9;msqssh *vt5 ,hglpel0)k 4bralj: 8ui5(re kinetic energy and the potential energy the same?

  A 2.0-kg mass is attached to the end of a horizontal spring o*g. :ic7l.utzjjy3m of spring constant 50 N/m and set into simple harmonic motio ju*yiogzc 7:. jmtl.3n with an amplitude of 0.10 m. What is the total mechanical energy of this system?

  A 2.0-kg mass is attached to the end of a horizontal spring of sp j3qag-cf5a.gring constant 50 N/m and seaq-j3gg 5a. fct 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 ideal spring oi9r m -noqjslgxj+ 999c0s6.nkj8eae f spring constant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kinetic energy of this vibrating mas lsn jq99nc9x+9eajsi.6 j gkmr8 o0-es?

  The mass of a mass-and-spring system is dispsy jilxj 3 0n* 3)v7/apvfzpz:0s:rm vlaced 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 only0py7 m zxpl:0/j3:v r)n3vassvjfzi* 5.0 cm and then released?

  A 4.0-kg object is attached to a spring of spring constan5n .g9f1ekj+l6un gzgt 10 N/m. The object is displaced bye n96 gzjn5l.1+ugkfg
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 spriou /b 16fnltq1h2 8uzjng of spring constant 10 N/m. The object is displatj un21z1/hf8qou b 6lced 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 opgn5q 8udg 9)asx;jg *f spring constant 18 N/m, displaced slightly from its equilibrium posx gju;ad85 q9)*gngsp ition, 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 di1*i+k5bbvk mu splaced a distance of 2.0 cm from equilibrium and released. b*bu5kmv k 1+iWhat is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to different springs. Mass A vibrates w o4jshbgux63,8p l b.5kb9tvlith 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 the maximum speed ojk,bbg x6ol9t5p4 8 b3v s.hluf B?

  A 0.30-kg mass is suspended on a spring. In ei*/p+(2aonl)tgm kmxh 5 ie0tquilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and released from rest. Calculate the period of oscillati io/ahxk g0 i5*em2)l+ptmnt (on.

  A 0.30-kg mass is suspended on a spring.isxlhh1(8 s -e.rztv6 In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distil xver.s(-t 1zhhs8 6ance of 1.0 cm down and released from rest. Calculate the total energy of the system.

  A 0.30-kg mass is suspended oyzpxi()gcv* i o8:7ff d*gy*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 (7:**yypcx og)*ofifgvzd 8i down and released from rest. Write down its equation of motion.

  An object in simple harmo 7xra, jcoj),onic motion obeys the following position versus time equatio jj, oaxr)c,7on:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following position versus 3nf2 ci 0/vq3ouxweh dtl)6p;time equatio/tcloi e6dw np)3fv0ux ;qh23n:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following position veraq rbs1 :p+z9d lo8dr,sus time equatdsr8:1r,+l 9boqzad p ion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free eny6shne4;7lxn8a 7yinrl/ m4r d of a spring executes simple harmonic motion according to the equation6 4; n8l/rerl4n xys7nia7ym h $y = 0.50 \; \sin (18\pi \times t)$ 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 oscillate3 kpro9 o0n0f)rptl/ rs on a horizontal, fricrpp) k/r onf0r90l3ottionless 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 irg (69ci pxzk)n 8.0 s. (a) What are its frequency and period on Earth?k rpz6(9gicx)

  A 3.00-kg pendulum is 28.84 m long. What is its peri9jmwj/ pc2 f6aod on Earth?

  A pendulum has a period of 2.0 s on Earyu/5pys5y v(knt+xp . th. What is its length?

  The pendulum of a grandfam 3dzz9z /gzfm6,cu0 mther clock is 1.0 m long. What is its period on the Earth?dmum3/m,z69czzg f 0z

  The pendulum of a grandfather clock is 1(h zigx(tj4 0c.0 m long. What is its period on the Moon where the azt(i(c04 hj xgcceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attached to a massla ,g:;tkdztrt*ry;9 o ess 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 resu y,*9r o :zttdk;tg;arlted if a 0.50-kg mass (same diameter sphere) had been attached to the string instead?

A simple pendulum consisting of a 20-g mass has i lj- z6pe :yvm.9 7kye ov18bs/tg7c6e/hulzt nitial angular displacement of 8.0e. It oscillates with a period of 3.00/7v/ e6 yj1ec:ze7uy 8lovgkmb p zl 6t-9.hts 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 tigw0.ttg8;m qen +p/.ri sut 0sme. The frequency of the wave is g; tup.wn/0+t0.8s eqtsmgir 120 Hz. What is the amplitude?

  Figure 11-2 is a "snapshot" of a wave,c0at x5o hp0m at a given time. The frequency of the wave is 120 Hz. Whcx,h 0t0mo5 paat is the wavelength?

  Figure 11-2 is a "snapshot" of a wave aonyu.y:1(4juxtvj6y t a given time. The frequency of the wave is1u.o yy(v4xt6jj n:yu 120 Hz. What is the wave speed?

  What is the frequency of a wave which has a perihlfkvi,6*,re-:: euj vxr tu *od of 6.00 ms?

  What is the period of a wave with a frequency of 1500 Hzb8* yya8vr/ qu?

  What is the wave speed if a wave has a frequency of 12vpkawi9 p 5-izrm,e; -)4-tto jikby / Hz and a wavelength of 3.0 ktvae -o mi,p 4jr-5i-;yi)9wpbz/kt m?

  What is the velocity of a wave that has a wavelength of 3.0 m and a frequenc (.wc:tiq;kiaczhuict9(ts9e0uijc 2 1a6t 9y of iu:acq0 a9sj(itte cz ci;.hu 9t2t cwik1( 9612 Hz?

  What is the frequency of a 2.5 m wave traveling aif 1za9.h0 rout 1400 m/s?

  A piano string of linear mass den.ec5 2c d)gknssity 0.0050 kg/m is under a tension of 1350 N. What is thens gc52c ked). wave speed?

  A string of linear density 6.0 g/m is under a tension of 1ua9fy-vzd ,s280 N. What is the velocity of propag dz2uy,9f -asvation of transverse waves along the string?

A wave whose wavelength is 0.500 m is traveling down a 500 m long w 4ymfb lhk(7m*d9wckej+ ne: 9ire whose total manl( jc f97 kbee9kmwd+4:yh m*ss 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 q + y;pjm tx+aos,d1i.transverse wave on a 2.0-m long string fixed at both ends is 200 m/s. Which one of the following is smj+.xoy+a;1dp t iq ,not a resonant frequency of this string?

  If a guitar string has a fundamental freqgqt r w3s3d,3wuency of 500 Hz, which one of the following frequencies can set th,gq3t 3sd3wr we string into resonant vibration?

  A stretched string is observed to have four p j*o:llvg f7j psa,6pzs59j gtwh/0.equal segments in a standing wave driven at a frequency of 480 Hz. What driving frequency will set up a standing wave with fi0 sf, /.hlsojp9t7jlgpz*gvaw j:p 5 6ve equal segments?

  A string, fixed at both ends, vibrates at a5j.l nel8a f8ioc4(ez x36t1 zqtukh0 frequency of 12 Hz with a standing transverse wave pattern containing 3 loops. o tel i6tfj(5.3x80n4 zhzqe81lu ck a What frequency is needed if the standing wave pattern is to contain 4 loops?

  A string of linear density 1.5 g/mgoob7*q56 rqt p:+pn*nqqkg, is under a tension of 20 N. What should its length be if its fundamental resongqoq*n* gq 6,n:tk+5 opqr7bp ance frequency is 220 Hz?

  Find the first three harmonics of a string of linear mass density 2.00 g/m and 3x9edlj6 sn z/length 0.600 m when it is subjlxje z63 ds9n/ected to tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. When the8i too(* -fa5mvc 7,msr .dosc string vibrates at a frequenc5soaic sro 7o,tcfd v(*.m8-m y 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.