The time for one cycle of aclrdbn8b k8mmqhh (b ea6mt20f(t6 (0 periodic process is called the

  For a periodic process, the number of cycles jwr3-8fwot.*86- uxss7brh+j kwwtr per unit time is called the

  For vibrational motion, the c +jdfo;2f3 no2 3nabrmaximum displacement from the equilibrium point is called the232+nfdj o3nra f ;cbo

  A mass on a spring undergoes SHM. When 9y9 j 2ywcvgjx..,eup the mass is at its maximum displacement from equilibrium, i9 v2ej, .pcjyy.9 gwuxts instantaneous velocity

  A mass on a spring undergoes SHM. xv*0bb* *rkif When the mass passes through the equilibrium positib*r0i*f *xvk bon, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass av:2goyjb( jqdr4 9 r8is at maximum displacement from equilibrium, its q(2jba 8y gjr 9r:4ovdinstantaneous acceleration

  A mass is attached to a vertical spring and bobs up and docwz ptcz6 (m-.wn between points A and B. Wher (z6cwm- t.czpe is the mass located when its kinetic energy is a minimum?

  A mass is attached to a vertical spring and bobs up and6i7 1r8c 9 5s,jvga qo0h1 ua(ypvzndm down between points A and B. Where is the mass located when its kinetic energy is a maximum?1uzcd5a qn7g9,m 8r pi vsy16j vh0ao(

  A mass is attached to a vertical spring and boe0 5pk :ehqrpb qj:(/ebs up and down between points A and B. Wherj: e :q(hp5rk/ ee0pqbe is the mass located when its potential energy is a minimum?

  A mass is attached to a vertical sp tp3md5xh76 idring and bobs up and down between points A andd i5hpdx73t6 m B. Where is the mass located when its potential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-sprinvm 2c.bzpv,6 gyxde69g system produces what effect on the s 9bym6zg26v,cep.xdvystem's mechanical energy?

  Doubling only the mass o 2-5et3 6zn:ijxtgjmf f a vibrating mass-and-spring system produces what effect on the system's meni-f2z: tmxjgt356j e chanical energy?

  Doubling only the spring constant of a vibrating mass-and-spring syw4 c q;.xn9b x1aph;agstem produces what effect oqw;b9a; .4pxxn1hcg a n the system's mechanical energy?

  A mass oscillates on the end of a spring, both on Earth and oqe s2lhv /)m oi.ccp43g.j1jln the Moon. Where mg4/ip.e )sjvc l1.l3qo jch2is the period the greatest?

  Increasing the spring kxx1/ 0pf6ia4tk s *flconstant k of a mass-and-spring system causes what kind of change in the resonant frequency 4xs6/t1xf*ak0k p ifl of the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system causes whaure c j,pxj;)8t kind of change in the resonant frequency of the system? (Assume no change in the system's spring constant ke)x pr; 8jjc,u.)

  Increasing the amplitude of a mass-and-spring .5a +:xxtu)vhk -hvfe system causes what kind of change in the resonant frequency of the system? (Assume nfhek-x .+)uvxtv5a h :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 consists7yn v)jkz+0 xy of a mass M attached to a weightless string of length L. Fox n7 zvyjk0+y)r this system, when undergoing small oscillations

  When the mass of a simple pendulum is tripled, thea66-h tu cnvzovt;9r. time required for one complete vibrationot rvaz6- 9t.unv6ch;

  Both pendulum A and B are 3.0 m long. The period of A is T. 9p vjsl h9,s-tPendulum A is twice as heavy as pendulum B. What is the period of p 99ltsjs,hv- B?

  When the length of a simple pendul/z,bgd6e6cjt( ojqv( um is tripled, the time for one complete vibration increac(qg (,/jjedt6 v6zo bses by a factor of

  What happens to a simple pendulum's frequency if both its length and mass arp 6f w g,jk+usx/*cs/ce incrc 6*wsjkf,/c x+ pgsu/eased?

  Simple pendulum A swings ba k0 *yqa +g4q-eqjck0-rfc+qbck and forth at twice the frequency of simple pendulum B. gc4e*qaqf++qr ky kc 0-b -jq0Which statement is correct?

  If you take a given pendulum to the Moon, where 4(cle-,1 c4b csglutttox(- (su:i/kjus5mathe acceleration of gravity is less than on Earth, the resonant frequency o:cto-ui tc/ 1kaxt glsc ,b(ss(le -54u m4j(uf the pendulum will

  Curve A in Fig. 11-1 represents- 88:rw,.*6f ughwpn uvpco(ior/r gq

  Curve B in Fig. 11-1 rls9omc:sg,7u 6bpg c8 epresents

  Curve C in Fig. 11-1 re8y9+sn3 0nvr l *yhyxfpresents

  For a forced vibration, the amplitude op .aipyt ;4j7 v(ydg0bf vibration is found to depend on the

  In a wave, the maximum displacement of points of the wave from equilibrium iq d ..0inwt w 08vsbj/wln4ba3s callw 8l/isnjwtab.0 04.v n dwb3qed the wave's

  The distance between successiv )vm gkc(2 ucdg4:0ngoe crests on a wave is called the wave's

  The number of crests of a wave passing a point per uni ldc 8oy(cdu*)t time is called the wave'sd(l)cydo*8cu

  For a wave, the frequency times the wavelength is the watj1p 1az4k( y pr/2hd bo*2nsbsq6t* ave's

  The frequency of a wave increase lyo:4u*ykk(wtib-n -s. What happens to the distance between successive crests if the speed remains const(woynblk-*y u-kti 4:ant?

  A wave moves on a string with wavelength l andhknt) yg)i7 5ky1xx2ye (z59zhj2 gxd frequency f. A second wave on the same string has wavelength 2l and travels with the same velocity. What is the frequency of the seco5y y1xyjzn 52))d ext xg9hg (zkih7k2nd wave?

  Consider a traveling wave on a string of length L, mass M, and tension T. A y,hzqsm,)u7-46w m d r)fcn-ama-yrostanding wave is set up. Which of the followi s ) 6r,7dufanq)om-c-za m -yh4ry,wmng is true?

  A string of mass m and length L is undempzs dg4g0-q 4r tension T. The speed of a wave in the string is v. What will be t40gp-dz mg4 sqhe 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 tensi dgr(uh 6c1n afb11y)qon T. The speed of a wave in the string is v. What will be the speed of a wave in the string if the lengrq( )fdcu1gb 1 h1ya6nth is increased to 2L, with no change in mass?

  A string of mass m and length L is under tension T. The speed of a wave in tj:r)wn*zgbry(:vyi 1y w7 ql9he string is v. What will be the speed ofb:znyw)lyy jqr7gi r*w(1v 9: a wave in the string if the tension is increased to 2T?

  In seismology, the S wave is a transvj+ g-bo )oki ps;6f)qferse wave. As an S wave travels through the Earth, the relative motiifb)k) ;q s+-joopfg6on between the S wave and the particles is

  In seismology, the P wave is a longitudinal wave. As a P wave trr ee4pg upt;b3f5; )osavels through the Earth, the obp ; 5ru4;3tpe gefs)relative motion between the P wave and the particles is

  The intensity of a wave bfb)jb-n ./c sis

  A wave pulse traveling to the 1d:7 8b3qchxpaa js ,l.ymwnv.hkw/0right along a thin cord reaches a discontinuity where the rope becomes thicker and heavier. What is the orientation of the reflecqwh /amnbd0s.yxhjwpl 1. kc 7v:,38ated and transmitted pulses?

  Two wave pulses with equal positive amplitud)qnvk-(c3;px 6 jjhac es 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 ck3- j)nc(; jvaqxph6of space at the same time

  Two wave pulses pass each other on a string. The one traveling towi*vtyl(o0ya1k s23 mzard 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 reg s(ztk1yylo3im*a 0v2 ion of space at the same time

  Resonance in a system, such asx: i-+rcc5oi b a string fixed at both ends, occurs when

  If one doubles the tension in a violin stridarax/3w r7y 3siy .:gf)xw9rng, the fundamental frequency of that string will inxw 33g.sy: dr7xrfar 9w/ )yaicrease by a factor of

  What is the spring constant of a springrc1 e2zv7py+1jcx/p 0rv 2 jl 1r9eqhh that stretches 2.00 cm when a mass of 0.600 kg is suspendz 1 9jjc pc12hlxeyv r e1qp+h7vr/20red from it?

  A mass is attached to a ye2f4e9l r2d. amo1rn2/rgpr 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 and let go. It takes the mass 0.50 s to go back to its equilibrium position when it is oscillating. What is a n1 gr 9rrle22/o.yme4dp2rfthe amplitude?

  A mass is attached to a spring of spring constantd4ba3-q x)j6l; jv 9 7z:fidvqoclgl3 60 N/m along a horizontal, frictionless surface. The spring is initially stretched by a force of 5.0 Nc9 - vl6bv3g:dflj)q 4 qzjil;odx3a7 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 htj)4 : ad3+1bebojamv orizontal, frictionless surface. The spring is initially stretched by a force of 5.0 N on the mass and let go. It takes ta 3v :j mtb+)be4joda1he 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 t*1d7sny)bnv* h4so qa hrough 10 complete oscillations in 5.0 s. What is the pe q7n *no)yv*sds1 h4bariod?

  A mass vibrates back and forth from the free end offq) kj0 ehx9k9 an ideal spring of spring 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 fh09kj9eqkxf ) rom its equilibrium position?

  A 0.50-kg mass is attach- /pc6lfwxl 5ced 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 positflcl 5w- 6cx/pion. What is the total energy of the system?

  A mass undergoes SHM with amplitude o-nbkcna-s8x uet/ t 6+1t 4woaf 4 cm. The energy is 8.0 J at this time. The mass -/wnt x41b kst+ucn6aoa 8et -is cut in 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/z; ) fepqja+un ) 9ubme.)inihed to a spring of spring constant 20 N/m along a horizontal, frictionb;aq)ij. e)/en+)9 npf uzimuless surface. The object oscillates in simple harmonic motion 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/m along a c4mhij.ht mo2b6)9v f ;qkxq/horizontal, frictionlevimto.kfx9j)qq4/ 6h bc2mh;ss 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 same?

  A 2.0-kg mass is attached to the endlw;p- r ceig63 of a horizontal spring of spring constant 50 N/m and set intoc ;w3 igel-r6p 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 71+d) mbc2+ qa:pjxb mynj.x eof a horizontal spring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What be2n x7mdp aqbm.xj :+)+cy j1is the total mechanical energy of this system?

  A mass vibrates back and forth from the free end of an ideal spring of spring ;bln 2,rmkm(8d51fmmjan* a4 xzi0uo+it z 8 aconstant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kine a*mnb,40am (l18f+d; izk m5ouxmian8 j zt2rtic energy of this vibrating mass?

  The mass of a mass-and-spring system is displaced 10 cm from i-g r pgy 1offn-3yp+;yts 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 release+gnop -y-r fgfypy3;1 d?

  A 4.0-kg object is attached to a spring of spu/ wc(/+mqen 2qr u5u s7ig7nlring constant 10 N/m. The object is dcr q2mwu u5+gi7qns/ul/7 (neisplaced 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 5 b5z1yvlcq1 kspring of spring constant 10 N/m. The object is displaczv1 kly1bc55 qed 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 1pd,cev7t d:agjho/7, 8 N/m, displaced slightly from its equilibrium position, dh,p7e 7/vadg :j,otcand released. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates eniw6 dz g-5g:at a frequency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and rele i:z6w-5n ggdeased. What is the maximum velocity attained by the mass?

  Two masses, A and B,7gvddms w6)/a are 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 to the/v)adw 7ds6 mg maximum speed of B?

  A 0.30-kg mass is suspended-bt+ wq pa1.9:yaly ej on a spring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance ofy e:p t9aaql.+-y1jbw 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 stretches tm1u8jqj 6;zxfi 3 nc9xhe spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and 61 mcu;nxj zi3f9qj8xreleased from rest. Calculate the total energy of the system.

  A 0.30-kg mass is suspended on ;n2 xskhdp) d *0mdpj,a spring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distancep)mkpd ,nhx20 jdd;s * of 1.0 cm down and released from rest. Write down its equation of motion.

  An object in simple harmonic motion obeys the folloh g2;u;1ri tpowing position versus time equatih;12 igto;ru pon:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the fc ; qfz4tw(q3:*wepbm ollowing position versus time equation:f b pm43;:*(qw tcqwez
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion o w,oacm3ax6jlu9 ;f8ix.yi/vbeys the following position versus time equxcxm uaa8, / ly;9i.fw6io v3jation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes si) 29 vpy- 85xyj4ie-2t- fhwipyktuun mple harmonic motion accord2ypt )yi8-hvwfk un2 x ei-jtp9u45 y-ing 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 a5zw 6xxo m738f*aa) x udd0kwx force constant of 20.0 N/m oscillates on a horizontal, frictionless track. At t= 0, the mass is razwa)7m xw x xu*658k3do dfx0eleased 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 6h nd)sojinx7hnp94ft6:2gd are its frequency and peri gn62o dx4pn6i) :9s7jfhntdhod on Earth?

  A 3.00-kg pendulum is 28.84 m loen3n0h q4*bl ing. What is its period on Earth?

  A pendulum has a period of 2.0 s on Earth. What-.mv552vw r x*p,sqc zrfq ;zp is its length?

  The pendulum of a grandfather clock iuvs,qv(an ;afd+ d 82ks 1.0 m long. What is its period on the Earth2d; vsaa8kv(n u,fd+q ?

  The pendulum of a grandfather clock is 1.0 m long. What is its period on the M1laedgybrt) ) 3 51suzoon where the 1lb3daz5y1 ) rgtu se)acceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists zr0owgu9oz 286n mue ceqvl/qwp:a n0e2x 9)1 of a 0.25-kg spherical mass attached to a massless string. When the mass is displaced slightly from its equilibrium position and w glweeopqv0/e:an9rnz0 x2q2m 6zo9uu )1c8released, 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 attached to the string instead?

A simple pendulum consistingy/ie3wf3e w ,/r 3rsmz of a 20-g mass has initial angular displacement of 8.0e. It oscillates with a pe/r/ ew,merzs iw33f y3riod 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 frequency of the wavlhz5nwgagdep.7/;j04a z jk8 e is 120 Hz. What is t nzglwa/edh0 jz7a.4p g8k5;jhe amplitude?

  Figure 11-2 is a "snapshot" of a waf4iyxb 3k76jxve at a given time. The frequency of the wave is 120 Hz. What isx 673xj4 bfkiy the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a giv9z x+w 1g0m yyxe2950abiqfvv en time. The frequency of the wave is 120 Hxma5vfx1 bezy yq0+ 90vi92gwz. What is the wave speed?

  What is the frequency of a wave which has a perio9()tw/ vccu pod of 6.00 ms?

  What is the period of a wave with a frequency of 1f)e, vt3aljgp,/0fn x500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz and a wavelength of5h:7vx2s a7g zb*a kll 3.0 :bva s7l x2kz*lh75gam?

  What is the velocity of a wave that has a wavelendc59o(t) scfjml.6yj s1cq ;rgth of 3.0 m and a frequency of 12ycs crod6j .sj5lm9f;)c(1t q Hz?

  What is the frequency of a 2.5 m *d;kr,1okx dw+ 3np: n7yc tbewave traveling at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is under a tension of k9+9eqmlhx617 c-wp 8nuhxuc1dc:h s1350 N. cp+e s1q hluhwc1kn6 8-9 :x9mcd7uxh What is the wave speed?

  A string of linear densi b0p 5x;0mqgsil,jxxp3 z) w*yty 6.0 g/m is under a tension of 180 N. What is the velocity of propagation of transverse wgs5l m;xpx0,q jb*iy xp)30z waves along the string?

A wave whose wavelength is 0.500 m is travelzg:. xa 8*dp) tkaovz8ing down a 500 m long wire whose totz) :8gv8 xat.azk*do pal 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 truo1ly0i.tm+s b3ukc ,;siij 5ansverse wave on a 2.0-m long string fixed at both ends is 200 m/s. Which one of the following is not a resonant frequency of this u5y0 c3ti.kumj1 o;liis,+b sstring?

  If a guitar string has a fundamental frequency of 500 Hz, which one offbo: (xxr;(t i the following frequencb o(ti(:xfr;xies can set the string into resonant vibration?

  A stretched string is observed to have four equal se 20n 6oe(m* ofls ql*a(4mpv7t:pckjagments in a standing wave dri7*ascfpkam:2qp0lev6n *(ml o4( toj ven 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 frequency of 12 Hz with a stand men+o3ra3 2.gijyw;ning transverse wave pattern containing 3 loops. What frequency is needed if the standing wao n3m+ n;ew.32y rjagive pattern is to contain 4 loops?

  A string of linear density 1.5 g/m is under a tension of 20 zgatcq,wqi)l7, c4nk1(i6ci:6hdls N. What should its length be if its fundamental resonancehki1azqi s:gi6 76clntwcd)clq, 4,( frequency is 220 Hz?

  Find the first three harmonics of a.2ba kkh*u0 7ngppx/ rhp4 .va string of linear mass density 2.00 g/m and length2ba0.rx k u.php7pngvk *4ah/ 0.600 m when it is subjected to tension of 50.0 N.

A string of length 2.y)g,j0s9i7o8psvd2got ej h29 jj sm-5 m is fixed at both ends. When the string vibrates at a frequency of 85 Hz, a standing wave with five loops is formedd o29 28 i)ge- h joyjsmjj9ts7v0gp,s.
(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.