The time for one cycle of ayb04z v yh11wq periodic process is called the

  For a periodic process, the number of cycles per unit time is cal24 mm*ryy7irlled the

  For vibrational motion, the maximum dispypn,m,ich. r+/8h 6nmouco q:lacement from the equilibrium point is calle,h h6r.n8 opqiccno/um+y m,: d the

  A mass on a spring undergoes SHM. When the mass is ho.;aht :ooy lz5v1n 9pd+/qdat its maximum displacement from equil dz1yd9o5 lvpa:o+no ./thhq ;ibrium, its instantaneous velocity

  A mass on a spring under(kl.mu9lg 2zw 1j s;mrgoes SHM. When the mass passes through the equilibrium position, its in2m9.w1 kjmz; lsrugl (stantaneous velocity

  A mass on a spring undergoes SHM. W 4) *nsqp-a0t y; 5fjkz/ at6ekraajm2hen the mass is at maximum displacement from equilibrium, its ink sakajaf;y/j q6*5p) 40z emr -2anttstantaneous acceleration

  A mass is attached to a vertical spring and bobs up and down beu**2 b5wecfz9 jx3p mux*rhdd-v1- vvtween points A and B. Where is t cvxjx*p-9zed-w vd*2mu*f v uh1b 3r5he mass located when its kinetic energy is a minimum?

  A mass is attached to a vertical spring and bobs up . et e/ c3fgz:uki8zf;and down between points A and B. Where is the mass located when its kinetic energy ;/i:gffzt z c keu38e.is a maximum?

  A mass is attached to a vertical spring and bobs up and down between points 018o rri:qfazA and B. W zrq80iro1 f:ahere is the mass located when its potential energy is a minimum?

  A mass is attached to a vertical sprinv(h igkxro;3: gyt h;11l*a q2h.awkp g and bobs up and down between points A and B. Where is the mass located when its potential energy is a maximumirpk hgtq.;vhwy1ao:k2h g1(lx3 *a; ?

  Doubling only the amplitude of a vibra8 e ks9w7agfe:kk1tu6ting mass-and-spring system produces what effect onegk8 kae9: skw1f6u7 t the system's mechanical energy?

  Doubling only the mass of a vibrating mass-r-q+ qhq+mzq lhai /9,and-spring system produces what effect on the sys r++ l zqma-,q/9qhqhitem's mechanical energy?

  Doubling only the spring constant of a vibrating mass-and-spring system prodw,.wrscsi 5,yya ;ls 5uces what wysc.ssyr wl,i; a ,55effect on the system's mechanical energy?

  A mass oscillates on the end of a spring, both on Earth ar ,pqa6 pe0f/end on the Moon. Where is the period theqpp, 0fa e/re6 greatest?

  Increasing the spring constant k of a mass-and-spriuet (cix -.y3hng system causes what kind of change in the resonant frequency u(3h i-xet.cy of the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a38cjhk b ,cb ei0yp2w-g y;;jk 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 kkp-b jhw ;c;k8ye0ybcgij ,23.)

  Increasing the amplitude of a v)onmg9+iw*nuvq d* y1s:(z hmass-and-spring system causes what kind of change in the resonant frequency of the system? (Assume ngnz vm1n*iwhq*v (9osy +du):o 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 strinaim .onf tvpt)b *k+.:g of length L. For this system, when unmti:ab+ pkt. ).fn*vo dergoing small oscillations

  When the mass of a simple pendulum is tripled, the time required for one comp 2rhfoed5o;rq,:t :xdlete vibrat5rdx,f: t2o; e:qrh odion

  Both pendulum A and B are 3.0 m long. The period of A is T. Pendulum A is tea yl2b;f j58mwice as heavy as p m5yeafb8l;j2endulum B. What is the period of B?

  When the length of a simple pendulum is tr+eer iz)zsgg (hf9 12a7k,tldipled, the time for one complete vibration increases by ahi+zsa97fg ek,r l de(tgz)12 factor of

  What happens to a simple pendulum's frequency i f/86zmf0vrfk f both its length and mass are increasedm 86 zrk/vff0f?

  Simple pendulum A swings back and forth at twice the fdnqr4j0wd:*q:tdo8b ciq ,* mrequency of simple pendulum B. W8imddnb * t4 d q0qoqr:j,w:*chich statement is correct?

  If you take a given pendulum to the Moon, where thk, ize/ rbr3b9 -bu8ive acceleration of gravity is less than on Earth, tz3 8 /ruiib,-bbek9rvhe resonant frequency of the pendulum will

  Curve A in Fig. 11-1 rec ol.c9 ,.xb-k zm1uzl4+mnbk presents

  Curve B in Fig. 11-1 rep 8fxa2cl28c bdpz 56/kac9unt resents

  Curve C in Fig. 11-1 repre)ys x2v +vdhg 6xe4;ao-p9dqysents

  For a forced vibration, the amplitude of vibration is found to depend on t3f:, :jyoho;7ydurr;, g:wh w6lheut he

  In a wave, the maximum displacement of points of the wave from equilibrium isb08 yr *)yqkrf7g;ceg called ther) b ;crf*ygk 8q0yge7 wave's

  The distance between successive crests on a wave is called th:w:: jcb hysxn.re mq9o)ytf e*4i 2g/e wave's

  The number of crests of a wave passing a point 11it1v3 gfdd i q5,p8icxrhr ;per unit time is called the wave'8p 1d irrigid;1txv1 h,c53fqs

  For a wave, the frequency times thvhd)sz 6q o3/ k*d4qhfe wavelength is the wave's

  The frequency of a wave increases. What happens to ylm-klj6m2 u xw0p s47th8tt8the distance between successive crests if the speed remainhw708p lykm264ttjtm-8 u xsl s constant?

  A wave moves on a string with wavelength l and frequency f. A secono, m hj0t;i*od i-lj(,zzc qt9d wave on the same string has wavelenc,z j mzojqlioi(9tdt,h0;-*gth 2l and travels with the same velocity. What is the frequency of the second wave?

  Consider a traveling wave on a striwvdw)0 kx3 5eung of length L, mass M, and tension T. A standing wave is set up. Which of the k0 x3e wv)w5dufollowing is true?

  A string of mass m and length L is under tension T. The spev c2myqn :p5b;zpfy-0 ed of a wave in the string is v. What will be the speed of a wave in the string if the mass of the string isfyyc2 5:mp-bzpn;qv 0 increased to 2m, with no change in length?

  A string of mass m and length L is under tension T. The s9:yc zlnc d8:wlg t1k4peed of a wave in the string is vg:wk41ylz8dn9l c: tc. What 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. T l98 tz+w:4ti1 tqhqpuhe speed of a wave in the string is v. What will b t4+ tl1i9qu:hq8zpwte the speed of a wave in the string if the tension is increased to 2T?

  In seismology, the S wave is a transverse4 4;ajnc3t)o.eey wi .sql4y k wave. As an S wave travels through the Earth, the yna .ose4kqt4ei4lyc. );3wjrelative motion between the S wave and the particles is

  In seismology, the P wave is a longitudinal wave. As a P wave travels throu(* r o49: mkvnrng2hqjgh the Enrg h2vk(rj 9mq4n *o:arth, the relative motion between the P wave and the particles is

  The intensity of a wzm1: p8:x;4txdbz eykfd. b :u0 5roxvave is

  A wave pulse traveling to the right along a thin cord reaches a discontinuityf.ij+n 0r jipdl 3y90i where the rope becomes 0nrii9 f0ldy.3jijp +thicker and heavier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each ovfmmp* p u q)z,mp+2f)ther on a string, one is traveling toward the right and the other toward 2pp m,pvf)m)uzm*+qf 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. Thewjyq4k941.l 5xr/p fqw muts : 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 pointrw41 q pjxw4my/l qfs tk95:.u that they occupy the same region of space at the same time

  Resonance in a system, such as a string fixed at both ends,yvhi0*y2i co 8 occurs when

  If one doubles the tension in a violin stcpy18b4 xb v,,j4h:o jgzs;wfring, the fundamental frequency of that string will increase by a fac joz; hbj fy1,:s44xpgc 8,bvwtor of

  What is the spring constant of a spring that stretches 2.00 cm when a nk,b oyy3wk.p7/hd r+mass of 0.600 kg+/ kbrk w, 7hpy.yd3on is suspended from it?

  A mass is attached to a spring of spring coe7, 21anbzdgqnstant 60 N/m along a horizontal, frictionless surface. The spring is initially stretched g2,b nd1zqae 7by 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 constant 60 N/m al9v lhum 08ky7yong 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 to9ul8 m0yvh7ky 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 xh13q(vzfqw /f:m rkt +z7g+mr5l-fy /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 bacm:f++v7r-qfytk f q5x1zg z3lh/w r(mk to its equilibrium position when it is oscillating. What is the frequency of oscillation?

  A mass on a spring undergoes SH-kuooqo(7k5o j/0y g jr 732egv.oxptM. It goes through 10 complete oscillations in 5.0 s. What is0 .32ruo5jkqt/-p ox kyoeogg7ov j (7 the period?

  A mass vibrates back and forth from the free end of an ideal spring of sprinb:d-xls+aqz j+ets4r*q5 f:f g constant 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*as-5fe: t bs+dfx+qlq4:j z r equilibrium position?

  A 0.50-kg mass is attached t ;r h.1a*wl zclpc8 fwc/2eda/o 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. What is the tota/wwz1hflpl2./ cecdca;r * 8al energy of the system?

  A mass undergoes SHM m8ngasl ; mwnod1co h-.x4g,)with amplitude of 4 cm. The energy is 8.0 J at this time. The mass is cut in half, and the system i o;og)m hwmsdlx- . ag4,n81cns 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 20 N/m along my6)9rq mz:avbk1i*c a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s at the equilibrium position. Wh r 9 )6yvzkc*qia:m1mbat is the amplitude of vibration?

  A 0.50-kg mass is attached to a spring o 7u d)jesff;/qf spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has ad js/ );qeuf7f speed of 1.5 m/s at the equilibrium position. At what location are the kinetic energy and the potential energy the same?

  A 2.0-kg mass is attached to the end of a horizontal spring of spring constadn:a+ofn5v4 ( h+k ;eh jvkv8cnt 50 N/m and set into simple harmonic motion with an ampl58k+dvv; j nkeha( :+ v4hconfitude 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 ho:h: kxgez5kpn-7da n ,rizontal 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 of thi danegxkz:h,7kn:5 -p s system?

  A mass vibrates back and forth from the free end of an ie7rh-6;r vy: u, abexcdeal spring of spring constant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kinetic rue :r,;- ahc6y7bev xenergy of this vibrating mass?

  The mass of a mass-and-sprm :-,0 k jlv(*/l0iotpu mvtueing system is displaced 10 cm from its equilibrium positi:(-luo,tuj0i vk/ 0 eml*mv tpon 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 released?

  A 4.0-kg object is attached to a spring of spring co /wcwqnnk4w4:nstant 10 N/m. The object i c/nkw44qn:w ws 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. Th*5/in7dwdv:xc ij jg rbv,93de object is :ij9vj 37bwd*,5dcdn vg/ irxdisplaced 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 constant 18 N/m, d u+3j3pn 0z1lqpw;swd isplaced slightly from its equilibrium position, and relu1pw+p3j3q0n dw lzs; eased. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequency of 1.27 Hz,i wdf,58p4p+xlv l q: glr*pq when displaced a distance of 2.0 cm from equilibr*fv5l 4dpp,lg+ ,:rql8q wixp ium and released. What is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to different springs. Mass A vibrates with a5cax3-n)b sq vijwu o;s1 gs31mplitude 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 o;sa1wbgisnxscj) vq 53u3 1- compare to the maximum speed of B?

  A 0.30-kg mass is sus)i1; knxd9 ,cp9puzz opended on a spring. In equilibrium the mass stretches the spr),xzouc99pipdk nz;1 ing 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 oscillation.

  A 0.30-kg mass is suspended on a spring. In equilibrium the makw k8f1 1rilq fn*c--xss stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of8xlkn1kc -- f*1r qfiw 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 stretchest-9x yes tsu(+dw fbkc4( 1b1i the sprt ybt wcf-sdk4ui 11(s+b e(x9ing 2.0 cm downward. The mass 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 positio .nl 6utbm42 t7uowybty(x0 3hn versus time equati7btyx h20 ty.(w6tu bn3lumo 4on:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following position versus lx*v1fqketu+k f2k(7time equation: 1v(2k 7qfke*l +kutxf
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys thjxdv y z,d wx4epij70n++ch ,-0kuia(e following position versus time equjnii+04, x-v ,7kjed (+x0cyuad pwhzation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple harmonic motion a wxu+8 g)pv7:6zhfknm ccording to the equation mnu7g :v)+68xkfwhpz $y = 0.50 \; \sin (18\pi \times t)$ 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 od 4uru1;+y mgjscillates on a horizontal, frictionless track. At t= 0, the mass is released from rest ug4rd;ymuj1+ 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 8.0d(pp:/ nsgy dvyc90(g s. (a) What are its frequency and pergcs: yn (dvgp/ (y0dp9iod on Earth?

  A 3.00-kg pendulum is 28.84 m long. What is unrr6mmme 3l jjuty, etn8c w+423l+ 9its period on Earth?

  A pendulum has a period of 2.0 s on Earth. 3ktooiu*.b6 4 vs-ieljq:i:m What is its length?

  The pendulum of a grandfather clock is 1.0 m long. Whnro2 s*mtbvm.2lp8ekh /h .u )at is its period on the Ea.kns.eov2 h/8hl )mrut*2pmb rth?

  The pendulum of a grandfather clock is 1.0 m long. What is i0 )u eudtq,be,ts period on the Moon wheruq)etu 0ed,,be the acceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum concu p 4t9a4 ik,5 i3ury+5scy.l wvlz)gsists 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 Hz4i4pr +gul.iszv y uw,9kl3c c )y5t5a. What frequency would have resulted if a 0.50-kg mass (same diameter sphere) had been attached to the string instead?

A simple pendulum consisti med(q wt3ktdqb; 1k:+ng of a 20-g mass has initial angular displacement of 8.0e. It oscillates with a period okd:tk+tb q3q; m(dw e1f 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" oycug / , q3bvh1*uld+m yw2x6yf a wave at a given time. The frequency of the wave is 120 Hz.2b6x*wuyvd+l1g yuqh m,3 /cy What is the amplitude?

  Figure 11-2 is a "snapshot" of a wave au3m9o0 j1wky j,nklzdqw;p(1zga o .*t a given time. The frequency of the wave1zwwqljzjk3n(kp a.g9u*y,o ; m01do is 120 Hz. What is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency of t-(z 4fyo(tqzf he wave isz((zoy -4 qtff 120 Hz. What is the wave speed?

  What is the frequency of a wave which has a r ( d(;nfb0rkl cs/c5nperiod of 6.00 ms?

  What is the period of tk2va 3;;owgp a wave with a frequency of 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz anz e *m:egb iv 5ww)bt8;/wmf3sd a wavelength of 3.0 wfv;i :s8ewmeb 5b/g3 *m)zwt m?

  What is the velocity of a wave that has a wavelength of 3.0 m and a frequency ohx 24(t o;ekosf 12 xh;tok2( s4e oHz?

  What is the frequency of bdgdw kx*cld(r3y:5q(i66et a 2.5 m wave traveling at 1400 m/s?

  A piano string of linear mass dens hsy,o2eakt* mbmav.r 62r) l8ity 0.0050 kg/m is under a tension of 1350 N. What is the wavek8 st,)a2r*vlhmoe my ba 6.r2 speed?

  A string of linear density 6.ss855 pd5eere y8 no9l0 g/m is under a tension of 180 N. What is the velocity of propagation ofo8s55ee lp5syd8n9 r e transverse waves along the string?

A wave whose wavelength is 0.og5c r1 b*: h4mh1h,*zkce)su7w qbmc500 m is traveling down a 500 m long wire whose total mass i 14gz* mmh5rc:17s,b b uh)qcwc*hokes
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 2r3p r ljcyvwp.zg9qej .eb:j --n 44pon a 2.0-m long string fixed at both ends is 200 m/s. Which one of the following is not a reson--nwzpj pr9q23eb.c:y .r4 ej vjp 4lgant frequency of this string?

  If a guitar string has a fundamental frequency of 500 Hz, whicho h4)gjm cl-5y one of the following frequencies can set the string into resonant vib) gjml-hy oc54ration?

  A stretched string is observed to have four equal segments in a standing qu8h6u;fa- 40dcfoxa wave driven 6f0xh 8qofd4;a acu- uat 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 frequency oni;g0(7gs zgff 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency is needednzg 0i7s(fgg ; 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. What should rebl8rz5b s 3;;i c8e j saz893aer8viits length be if its fundamental resonance frequency i zrveeb83jib38alras5e ;c 8;8s riz9s 220 Hz?

  Find the first three harmonics of a string of linear 2 j.3-ld)oflqvjta 9r mass density 2.00 g/m and lea3d).rjf qt voj2-ll9ngth 0.600 m when it is subjected to tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. When the stringabgwa yl,8: l1whu+c6 vibrates at a frequency of 85 Hz, a8 6cg+: yhu,bw1llwaa 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.