The time for one cycle o:+k *ryiv8aurf a periodic process is called the

  For a periodic process, the number of cycles per unit time 1m0uo)yf 4gh unppa8)h ; op9ois called the

  For vibrational motion, tho5 kh7 (dih7ave maximum displacement from the equilibrium point is callhhd7ao v5ki( 7ed the

  A mass on a spring undergoes SHM. When the mass is at its maximum displau 9g/gd6t1*xd byi*fpma l8ae 6 -zb:nv c(i)scement from(a b lgitg/i)6yvma d:6n1ez8u*csb d9x f-*p equilibrium, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass pasdt864odg;agiap d+:xzbz5( p ses through the equilibrium position, its instantaneous vzpa gg8z( 5 iddxo:dt6a +;b4pelocity

  A mass on a spring undergoes SHM. When the mass is at maximum ho evp2:p2j*ip s(roi37fl 0,toaw9qdisplacement from equilibrium, its instantaneous accelerationp t,o0r 7ihp9o2 ( p:qajil* o3esv2fw

  A mass is attached to a vertical sprin,+-32+(qkq ys bwg xne wrfiz4g and bobs up and down between points A and B. Where is the mk (+s2iygzn wq4 re ,3bq+xfw-ass located when its kinetic energy is a minimum?

  A mass is attached to a vertical spring and bobs up and do9 ed hx.lbj.+td4 aaj5;lj r8gwn between points A and B. Where is the mass locatjjba5h4.jrl+ atge l9dx8d .;ed when its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up and down between points sq8u1wf-h*fy ngla) * A and B. Where is t*wah8y)qf- gufs1* lnhe mass located when its potential energy is a minimum?

  A mass is attached to a vertica*+dh ( nj* i8:irneddqypsene7 -*1npl spring and bobs up and down between points A and B. Where is the mass* i :n7nehdqje8ri *sd(dn*p1 epn -+y located when its potential energy is a maximum?

  Doubling only the amplitude of a vibratdc4-;j f8l4y1 9epx ehoh6de*(om mphing mass-and-spring system produces what effect on th f (hm*ohcp8e6 -4xed9hp y 41oejd;lme system's mechanical energy?

  Doubling only the mass of a vibratinv, wcmz*h2 7b4ahmmf7 w(*jhmg mass-and-spring system produces what effect on the system's mechanical m mzh,wf7w(a 2*m mv4chb7j*h energy?

  Doubling only the spring constant of a viwukd6qw7x +p. brating mass-and-spring system produces what ewqwx6+k u.pd7 ffect on the system's mechanical energy?

  A mass oscillates on the end of a spring, both on Earth and on the Moon. vinkls :95nh(0ipzl tu.k5 w0 Where is the p5. 090z(l:h lwvnni5tskp ik ueriod the greatest?

  Increasing the spring constane60 /lp+ezu jet k of a mass-and-spring system causes what kind of change in the reson zu/eep06jel+ant frequency of the system? (Assume no change in the system's mass m.)

  Increasing the mass M of k a 2e5d isv s.e7:n8*des2oyna mass-and-spring system causes what kind of change in the red8ee s2sk5 7ynven*sdoi 2 :.asonant frequency of the system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of aq dzt ivz- l2zxz72 )j*:fj;gd mass-and-spring system causes what kind of change in the resonant frequency of the system? (Assume no other changes in the system.)g7itzvj* qjf);zz2dzl:d -x2

  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 iwrm9pprshz,lo 27c .*2 n* .ou 3dzrvof a mass M attached to a weightless string of length L. For p.3lp.7shoir*ro n2wzmd,v crzu92*this system, when undergoing small oscillations

  When the mass of a simple pendulum is tripled, the time required for one complca*i c0zdqujt41--x) cuij n 844vcaoete vibio zax18j)cjuqian0 c c ut-c444d-v *ration

  Both pendulum A and B are 3.0 m long. The per0j b(o31crq*o 2hb: vmt ij(youq/u v+iod of A is T. Pendulum A is twice as heavy as pendulum B. 02tmu b:1 o u+c ((jvjvh3y qobqrio/* What is the period of B?

  When the length of a simple pendulum is tripled, the.wvleh(ekd5x+m d z n xcp1326 time for one complete vibration increases by a factozep2( v1ld3n ed6xc5.xkw+hm r of

  What happens to a simple pendulum's frequency if both 23noo +xmga j(its length and mass are incre3a 2jx(no+om gased?

  Simple pendulum A swings back anu6.vq u1h ,frwd forth at twice the frequency of simple pendulum r.wu u,hv6fq1 B. Which statement is correct?

  If you take a given pendulum to the Moon, where the ap ikm,/.o/e jf vj/2encceleration of gravity is less than on Earth, the resonantjf /2evi/k .mn,eopj/ frequency of the pendulum will

  Curve A in Fig. 11-1 representekk5 0 cpf(7p ywo 2k7*snp1s fdo07bvs

  Curve B in Fig. 11-17/24xt npxy xb0o1net nzt**i represents

  Curve C in Fig. 11-1 rq; ouu ,xxv+3cepresents

  For a forced vibration, the i*q 5veoiu+0nqir +4wamplitude of vibration is found to depend on the

  In a wave, the maximum displacement o6gcwu;j *3raaq5kr3 (kf1 3enai4s frf points of the wave from equilibrium is called4a1 (5 s ;gf3afcr3 iqnkrak63er juw* the wave's

  The distance between successive crests on a wav*e d8v6 kxg 5bz.+zimobrc egvwyz:/:h+d5(ve is called the wave's

  The number of crests of a wave passing a point per unit time is called the,d -w y1vq.ell wave'lwq-1. vl,yed s

  For a wave, the frequency times the wavelength is the wavll y84ct(im8eg g/w,g e's

  The frequency of a wave increases. What happens to t0ne6sv 7 dhkm-he distance between successive crdmv - en70hs6kests if the speed remains constant?

  A wave moves on a string with wavelength l and frvfn14q a+g 0xcequency f. A second wave on the same string has wavelength 2l and travels with the same velo v0 gxn+f4aq1ccity. What is the frequency of the second wave?

  Consider a traveling wave on a string of length L, mass M, and t6shyhh6h 0 ug/ension T. A standing wave is set up. Which of the following i0 ygs /hhu66hhs true?

  A string of mass m and length L is under tencfgj m+y2+sk.lwd e1 rd.06atsion T. The speed of a wave in the string is v. What w.k+0 +1d6tay.ed jsgw 2rlmfc ill 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 inytmu 11;(rx bsxchk:6 kt:7ip the string is v. What will be the speed of a wave in the string if the length is inybh7ktrm t:i1;6xp: 1( xuskccreased to 2L, with no change in mass?

  A string of mass m and length L ioj1a kumfv6x*-k/8n t. mda x(s under tension T. The speed of a wave in the string is v. What will be the speed of a 6-va*1 x8jftmxnad.(ouk m/kwave in the string if the tension is increased to 2T?

  In seismology, the S wave is a transverse wave. As an S wave travels through o9) 6lp)mjx(bv)bk :bj4mqub a95brythe Earth, the relative motion between the S wave and the pab6 )bj5qkv4l) xjm:ra9bpo b u)my9(brticles is

  In seismology, the P wavetu( q/v x.nau 5ca*fy/ is a longitudinal wave. As a P wave travels through the Earth, the relative motion between the P wavyu(5ftcaxav/ q*n u./e and the particles is

  The intensity of a waqx-k*+kk dv8gve is

  A wave pulse traveling to the right along a thin cord reaches a disconti+ j; lmf);dnq(0cb -luki9 lf)q/gglsnuity where the rope becomes thicker and heavier. What is the orientationl+ 0lq-j uf cd)()/l;iblgksq9gmf;n of the reflected and transmitted pulses?

  Two wave pulses with equal posi8ga)l -bxdt06 yy vey9wq+d1htive amplitudes pass each other on a string, one is traveling toward the right and y9ta+ 081-y bqx ldvydgew6h )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 gp3 5jr3 ow h1lo,lz13vpcuw5 g+cv -oon a string. The one traveling toward the right has a positive amplitude, while the one traveling toward the left has an equal amplitude in55 o,h 3z1 ur+lppj wclo3vc1g-gvow3 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 boh 1:eb iapg-c0 jcpu11th ends, occurs when

  If one doubles the tension in a violin string, the fundamental freque;or gpbj2*e z,ncy of that string will increase by j ,b;erpg2 *zoa factor of

  What is the spring constant of a spring thanav7bv ;nt9n6m0fu0at stretches 2.00 cm when a mass of 0.60a n0 ;ab7t60nuvmnfv90 kg is suspended from it?

  A mass is attached to a spring of spring constant 60 N/m along uoq8 5 4gctr w2lco*-ea 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 oscillating. What is t4-2lu ocr5o ewcq8g* the amplitude?

  A mass is attached to a spring of spring constant 60 N/m along a horiznbh+dpqvq-d6m : (+ zbkz 31ifontal, frictionless surfacnbpikb v(z dmq:-d+1qh36+fz e. 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 inz5z +h ax01oN/m along a horizontal, frictionless surface. The spring is initially stretch5+zxn 1hi0zao ed 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. ciqlk mmhpry 6z r jj ;5-zc/p:)8f2(vIt goes through 10 complete oscillations in 5.0 rp2;6 f c:5 jmj8(cvy iz)-qlm /zkhrps. What is the period?

  A mass vibrates back and forth from the free end of an ideal spring of spring 8-nenp m .q5i90azg0+bjyaedconstant 20 N/m with an amplitude of 0.e-npm0 n0y9zjq8igb da a.e5+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 spring constant 20 N*kgnhnsd1qnr /*x7 (g/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion kn/*nx*gd g(hn q7s1r 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 energgv-bc9 ugc* 7ly is 8.0 J at this time. The mass is cut inguv9l cc*-7gb 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 attac* 8 gnu:sp;2 cy gzfyo8e4(shehed to 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 equilibrium position.z scef o488; hygp:*ue2ygns( What is the amplitude of vibration?

  A 0.50-kg mass is attached to a spring of spring yjv3ucz;(q*q(d vh/u 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. At what location are the kinetic energy and the potential energy the ;uvc *u 3vqz /((hqydjsame?

  A 2.0-kg mass is attached to the en(hww,x 6 izri l/;l f:m,ti.tzd of a horizontal spring of spring constant 50 N/m and set intzim(;hizl rx/ wi6,tlt. wf:,o simple harmonic motion 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 jur5d+ brcy/1zmjz ls; * **rkqo2 :lrof 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 mechanical energy /:rs*2ql+jkzjl5* bm zdc rr *r1y;uoof this system?

  A mass vibrates back and forth from the free end of an ideal spring of s8-e zx,vexc8q pring constant 20.0 v-x 8 cq,xz8eeN/m with an amplitude of 0.250 m. What is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring system is displa8l/-fj n*.0db *nq+o )z kez5ni3h9q f pzbuhkced 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-bznn+e/.bh0pnu k ff)z hzjl 893q 5ki**q do only 5.0 cm and then released?

  A 4.0-kg object is attached to a spring of spring constant 10 N/m. The objezz5kbe2 d e.a8ct is2 a 5zez8.dkbe 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 springfo41qm ;+zobl of spring constant 10 N/m. The object is displaced by fqlm 4b+zoo1;
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, displaced slighw2z n4ur t9d+ mti(*tctly from its equilibrium position, ztr2m(i9ndcw u t+*4t and released. What is the frequency of its vibration?

  A mass is attached to a spring.qq0 7jeeb es-;w3 - arjf6ci7d It oscillates at a frequency of 1.27 Hz when displaced a distance of 2.0 cm f eje;i b wsf67cj 3draqe07-q-rom equilibrium and released. What is the maximum velocity attained by the mass?

  Two masses, A and B, are attached topj7 bdo(w 6 ,5gux9b9ije4w/sarq wc. 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 tw ,i.6qruj cd9go w (sbjx7/5pw9ea4b he maximum speed of A compare to the maximum speed of B?

  A 0.30-kg mass is suspended on a (;y:hr3wm9*pcyf a m 0olytp0 spring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and 09 wy hca3flo0yypp( r;mm: *treleased from rest. Calculate the period of oscillation.

  A 0.30-kg mass is suspended on p/ :3xhmbb1 g-2d sztfa spring. In equilibrium the mass stretches the spring 2.0 cmh-fx d /p:gsz21bbmt3 downward. 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 suspended on a spring. In equilibrium the mass stretches thee vxy gv)g :qhk14n(;x spring 2.0 cm downward. The mass is thee 1vkvqggyhx x:4n) ;(n pulled an additional distance of 1.0 cm down and released from rest. Write down its equation of motion.

  An object in simple harmonic motio; jp5 *(csgmbdrdyi9-n obeys the following position versus time equatidcm;bp 59 g(j sr*d-yion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following position versus time equ+x;a, yzdts. wsw t ;azd.+,yxation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following position :/o+w8y ziqvi versus time equ+/z w: qy8ioivation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple harp+co9gq,yj ;qa0(q dumonic motion according t 0qodq;q(9pjc,ay gu+o 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 forcjg y;8sp 9bmq8jt 30yxe constant of 20.0 N/m oscillates on a horizontal, frictionless track. At t= 0, the mass is released from rest at x= 10.0 cm. (That is, the spring is stretched 38jxgy;s8 9 jbtm y0pqby 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 comc r5*eoq4o :wiplete swings in 8.0 s. (a) What are its frequency and period on Earthio5*4 c: orqew?

  A 3.00-kg pendulum is 28.84 m long. Whagx41 6shh io(u)ksnt8dc; s)nt is its period on Earth?

  A pendulum has a period of 2.0 s onqujd*clc6 xc8 1cz421to3mg v Earth. What is its length?

  The pendulum of a grandfather clock is 1.0 m long. What is its perib s)..bcj5qp/ekez 4k od on the Eak) bc .ee4/pq5kjs .bzrth?

  The pendulum of a grandfather clock is 1.0 m long. What is its *kn7euk y(p(dperiod on the Moon where the acceleration due to gravity is p7knud *k(y (eonly $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attached to a massles. qtaaq1gm 49:-en8oynnd .vjs string. When the mass is displaced slightly from its equilibrium position and released, the v.e n qa4jn ng-to.9a:mq18ydpendulum 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 attached to the string instead?

A simple pendulum consisting of a 20-g mass has initial angular displacement ofc-y .vjgl /nu: 8.0e. g:j-l/ vn c.yu 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" ofhug2qu2bue a)x.)l v9 kb:-xf a wave at a given time. The frequency of the wave is 120 Hz. What is the amplitude9eq hux2b xaulk gu2)v.f: b-)?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency of the wavnv-- ./i n)j qtlwvpsa2qil,g+ 2ca,ne is 120 Hz. What is the wavel apq n ,vw.2+s- li2qat,)n/n-ivlcgjength?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency 7 tk3 kccn9b8iof the wave is 120 Hz. What is the wave cbi3n8 kct9k7 speed?

  What is the frequency of a wave way(:nz+r2 wkbjq0t3 e hich has a period of 6.00 ms?

  What is the period of a wave with a jh3 d5f72d 1tjql7jdcn-z gnu b -98nofrequency of 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz and a wavelength of 3.e3/s*r fc,g+(p5kd tfu7d6;qp fmt)b( d zod k0 m?3,( c5+uezd6mtps(/ dkgfp;)fo krqddfb 7t*

  What is the velocity of a wave that has a wavelength of 3.0 m and a 0ij.b3;g/q9vaxy oqm frequency of 12 Hz;jmy0qv io39 gx.qab /?

  What is the frequency of a 2.5 m wave traveling at 1400 m/s? 9r/k2izu2sd2yl37zn g l)kvo

  A piano string of linear mass density 0.0050 kg/m is under a tension of 1u:p)rov 2oy ,l7pni 0q350 N. What is the wave sp02royn,puv: q)lp 7oi eed?

  A string of linear density 6.0 g/m is under a tensiom9i05kvq p2y.6fsxzz n of 180 N. What is the velocity of propagation of tra f m059p2.qy6zkxvi sznsverse waves along the string?

A wave whose wavelength is 0.500 m is travelingq:bt+ts o wh24-ot5 bi down a 500 m long wire whose total mass 2b t-s5ihq 4 o:t+wtbois
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 transverse wave on a 2h0/f)eezu- e h.0-m long string fixed at both ends is 200 m/s. Which one of the following is/fuee - )0zheh not a resonant frequency of this string?

  If a guitar string has a fundamental frequency of 500 Hz, which one of the 7r, 0hfn p/lupfollowing frequencies can set un,7lh /pr0fp the string into resonant vibration?

  A stretched string is observed to hav33-ha-j iiy)ssel if+ e four equal segments in a standing wave driven at a frequency of 480 Hz. What driving frequency will se )i3iej y3fla-s his-+t up a standing wave with five equal segments?

  A string, fixed at both endu zn0holuk)*k,xm(2p s, vibrates at a frequency of 12 Hz with a standing transverse wave pattern containing 3 loops. What freque zkm,2kuu0op * n(xlh)ncy 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 20 N. Whauwe1*(s0 xr7e3;c)nmjo ni bmt should its len7n cieuwxmm1(*j ben;3o)s0 rgth be if its fundamental resonance frequency is 220 Hz?

  Find the first three harmoni6+ p.u mq:ppaocs of a string of linear mass density 2.00 g/m and length 0.600 m when it is subjected to tension of 50.0ap6m.:p u+ oqp N.

A string of length 2.5 m is fixed at both ends. 9r(qcyk*7 ga4igx +vmWhen the string vibrates at a frequency of 85 Hz, a standing wave with fivg 4ayv *+qx7m9rgc (ike 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.