The time for one cycle of a periodic proc4k a(eu,y8ucqam .g a-ess is called the

  For a periodic process, the numbex )k (fea.-, jxvb rx30y9mqplr of cycles per unit time is called the

  For vibrational motion, the maximum displace /s)g4nv ; 6c akl7ysagam5)pqment from the equilibrium point is calv4ps6lcq)n g5g/ s7aym)aa ;kled the

  A mass on a spring undergoes SHM. Wrx5w (c2(5hpgkhg,i31dfh w phen the mass is at its maximum displacement k p3fh xw( c hw5(5p1gh2,grdifrom equilibrium, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass pas:v9j/ f).opxkoa -knw ses through the equilibrium position, its instantaneous veoon:-k.9xpvwjk a/f ) locity

  A mass on a spring undergoes SHM. When the mass is at maximum displacemeu z(k /0hnf1lj3.gv:dpo ak 7knt from equilibrium, it (.:zn7vp0dk3 kkghalf /1oujs instantaneous acceleration

  A mass is attached to a vertical s,z qvh h.9m2kfzib07dpring and bobs up and down between points A and B. Where is the mass located when its kinetic energy z d2hk0fi. 7h,zqmvb9is a minimum?

  A mass is attached to a vertical spring and bobs up and down between paeqkwl9u; +o8 2f9;w.fp0z5; xpaxp( z jhqpuoints A and B. Where is the mass located when its kinetzu+qp5awxo9.9u8kfp0jxhp;2;a( p q;l fezw ic energy is a maximum?

  A mass is attached to a vertical spring and bobs up and dm2i *c b 0ftn.wnl)h8vown between points A and B. 28n )0l twibfn h.vmc*Where is the mass located when its potential energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down between points :sy9tqp,:qrk;gtstrb4;)i 1 izal +m A and B. Whqz y4piars: gtltrs 1;;k)m+tq9:i,bere is the mass located when its potential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-spring system pro 59w2ps*mwglvj,id (xexf n/y4 0 3azcduces what effect on th94me yzf(3,wxsa/ji 5wc *l2gxn vp0de system's mechanical energy?

  Doubling only the mass ofjuw1 * ,lwtm8(vi+sr b*azkw: a vibrating mass-and-spring system produces what effect on the system's mechanical enemwwi 1(s+ at j8,: wbruzkv**lrgy?

  Doubling only the spring constp )+:)3ak+jvq izenkto uv 15sant of a vibrating mass-and-spring system produces what effect on the system's mek:vk+ai tjz5e1v pn3so)u+q )chanical energy?

  A mass oscillates on the end of a spring, both on Earth and on thecmi 3c 9ijb ve(1ht2s2 Moon. Where is tj21t9cs2 vmci e3(bihhe period the greatest?

  Increasing the spring constant k of a mass-and-spring system caus( m+q am.fgavvk93x-des what kind of change in the resonant frequency of the system? (Assume no change in dfv+ qk-(m9mga.ax v3 the system's mass m.)

  Increasing the mass (5bf7kgc ld7v-fu- az34m jpyM of a mass-and-spring system causes what kind of change in the resonant frequency of the syste- am5ujbdf (c pk-y 47vgf3zl7m? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-an)o-enemnjm -. d-spring system causes what kind of change jm )no- .ne-emin the resonant 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 weighlz y/s2ybn8s4tless string of length L. For this system, when undergoing small olbyssy2/8n 4 zscillations

  When the mass of a simple pendulum is tripled, the timis6b7ja p86ak +v yi0um pe9;ze required for one complete viyse+pu p8iz76; ma9b06ka jvibration

  Both pendulum A and B are 3.0 m long. The period of A is T. Pendulum A ism w,ta4r: zu;sc) /qrkaur:f/ twice as heavy /):k rsrc r;,: qawauz u4mft/as pendulum B. What is the period of B?

  When the length of a simple pendulum is tripled, the tim n +unu7 gm*undj2j*nfpcc-+ +e for one complete vibra*2 gn um++-c n+upnc7j*jfund tion increases by a factor of

  What happens to a simple pendulum's frequency if both ovoa .z k0eqzq5s8x1 wukw 8ep+7oe1*its length and mass are incrke x1 q*80sv.puozo81+w q7a5eowzkeeased?

  Simple pendulum A swings back and forth at tuis k8u6 mm;r-wh 3 )voo,do0owice the frequency of simple pendulum B. Wh usw;or 0),3do6hkm8om o-vuiich statement is correct?

  If you take a given pendulum to the Mo2 hs ot 7xwj;/b.h.xmmon, where the acceleration of gravity is less than .2bhm/ms; xtj.w 7hoxon Earth, the resonant frequency of the pendulum will

  Curve A in Fig. 11-1 juu cqeq,*x 3kt*7 qiit4e,/e represents

  Curve B in Fig. 11-1 repres8q ovql-e 1 eyv wnn1s)7wd*i)ents

  Curve C in Fig. 11-1 represo 3lotxn6i * k4 b:5d1si 61qeeiauc7xents

  For a forced vibration, the amplitude of vib 5hgmos;6ie) gration is found to depend on the

  In a wave, the maximum displacement of points of1*+ ogx r:bqhy the wave from equilibrium is callexr:+b qg1*hoy d the wave's

  The distance between successive crests on a wave is calledy-ef pp-0 mpj2 the wave's

  The number of crests of a wave passing a point per uni;kbqn t)(hse*p84 vfkr ;m1 dyt time is called the wave's8k4n;hme* ;r 1bfsq( kpy)vtd

  For a wave, the frequency times the wavelengt +s)izcx0xxpqt-k+x/i m*8 qyh is the wave's

  The frequency of a wave increases. What happens to thv;xq nck)a2i-w gg(f2la*ikq(,d f4ee distance between successive crests,e di a -xwgani* (v 4qf)kqcgk;f(2l2 if the speed remains constant?

  A wave moves on a string with wavelength l and fb *j: tu0r/odat apu;;wd/d e8requency f. A second wave on the same string has wavelength 2l and travels with the same velocity. What is the frequency of the d0da w/8dj*t;uap b: u;eo/rtsecond wave?

  Consider a traveling wave on a string of length L, mass M, a0 i;ubbw*pd25y+ /z we6cdtfb nd tension T. A standing wave is set up. Which of the fol5t b6+ dupbyciw/ewf0 d2b*;z lowing is true?

  A string of mass m and length L is under tension 9rj--x :0n7 zc snb;gfwyups7 T. The speed 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 is increased to 2m, 7n:gp-b 7jx 9 0s-uycwrnfs;z with no change in length?

  A string of mass m and length L is under tension T. The speed of a wzm o*uo)lb3znw1 o +l, rm-(toave in the string is v. What will be the speed of a wave in the string if the length is om 13mon bu,-lzowot(*)zlr + 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 the *e;gx3adqt u5n *dq h)string is v. What will be the speed of a wave in the strinqqtu; 5enx )3ddag**hg if the tension is increased to 2T?

  In seismology, the S wave is a transverse wave. As an S/g:2u8gzbb ceo0gy /t wave travels through the oz:c/y/ b28g e0gugb tEarth, the relative motion between the S wave and the particles is

  In seismology, the P wave is a longitudinal wave. As a P wave travels througn-ptfw4rbp9g b cz d.r+47dj /h the Earth, the relative motion between the P wave an+4t-bfg4np/prc7d zrw .9d jbd the particles is

  The intensity of a wave ip3bllq -k03yis

  A wave pulse traveling to the right along a thin cord reaches a discontinuit02zpvxzdgs0 l c1xz03 y where the rope becomes thicker and heavier. What is the orientation of thecg zx0z 1 zx200p3ldvs reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each oth o,;ueser 1f.19qh;s mh,eqvv;o-pv ler 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 e;o91ule;v,v 1.;r sh,q - efphmoqsvthe same time

  Two wave pulses pass each other on a stril j0+nrmv8gr/s2tfm 5ng. The 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 point that they occupy the same region of space at the same timegfr8+mv rs/m2tln0j 5

  Resonance in a system, such as a string fixed aty5ytqx *(i0sm both ends, occurs when

  If one doubles the tension in a violin string, the fune(t: txzu,cp,damental frequency of that strxeu,,(z tcp :ting will increase by a factor of

  What is the spring constant of a spring that bazscd*h.-fz i7,lh 7stretches 2.00 cm when a mass of 0.600 kg is suspended from b7 .-h*z7aiz l,d cshfit?

  A mass is attached to a spring of spring constant9, 7uyx/5fxvyo)l yge 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 5x)yylvy9x7fgo/e,u. 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 oh.z3 hf- wyc4z:zb. csf 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.cyz3 bhswz c.zh -4f: is the period of oscillation?

  A mass is attached to a spring of spring const,n eke 90 yo70ddjgw8kant 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 bak j0ydwd n7ge0 k,o98eck to its equilibrium position when it is oscillating. What is the frequency of oscillation?

  A mass on a spring undergoes SHM. It:j7 +3 -imbwb xbdceg3 goes through 10 complete oscillations in 5.0 s. What is the pcw:7-jx bib e3b d+g3meriod?

  A mass vibrates back and forth f(uca uk5pf1moqf2fj.c8 3d 8trom the free end of an ideal spring of spring constant 20 N/m with an amplitude of 0.30 m. What is the kinetic en32fu 85mcfft q u8k1p.odcj a(ergy 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 constan4bp ubkcfo6tfy/3.o - t 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speeucb ty .p3b ko4-f/of6d 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 enerll th8; qyf4p,gy is 8.0 J at this time. The mass is cut in half, and the s8l4f t,pl q;yhystem 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 2kaj0d b6i8p/ z0 N/m along a horizontal, frictionlessz/86jkaib0d p 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 horizo/7nx jd2;0zs 3zam(-csmqtczntal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s at the equilibrium positia s3m jnst;0q-xc(2/ cmz7zd zon. 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 hogv( -mby +e4kxrizontal spring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m +4k(vbmgyex -. What is the total mechanical energy of this system?

  A 2.0-kg mass is attache1ttg(arj1nlv2 c mj*.d to the end of a horizontal spring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What2.c m tvj1r*a1l(gjnt is the total mechanical energy of this system?

  A mass vibrates back and forth from th8y2tm/o :pl f-xq pif7e free end of an ideal spring of spring constant 20.0 N/m with an amplitude of 0.250 i fpmt7y/f8q2- xpl:om. What is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spu gu6bg3i 7v*dwzw+4y ring system is displaced 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 digwvidzw6 b3y+ *4guu7 splaced only 5.0 cm and then released?

  A 4.0-kg object is attached to a spring of spring *5b+qyyh *th og:vgt7z 77euuconstant 10 N/m. The object is displaced bygo:5+yq* 7 t77*zbvhheu tguy
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. The objevw *d.0yhbc. oct is .yv 0*b wch.dodisplaced 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 spring9-9(jj fqetqq of spring constant 18 N/m, displaced slightly from its equilibrium po99tjjq-fqqe ( sition, 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 whenfx kjgks3:. w42kf)uj+tim +i displaced a distance of 2x2) 4kimfkikjsg3.u :fjw ++ t.0 cm from equilibrium and released. What is the maximum velocity attained by the mass?

  Two masses, A and B, aj ne.jntdox (aj.2 74k*p oo-rre attached to different springs. Mass A vibrates with amplitude of 8.0 .*ojrkxa-(tdo. pn n72ejj4ocm 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 of B?

  A 0.30-kg mass is suspended on a spring. In equilibrium t5(qimw ,/ n*l( :tt dxqc,p ez7rowi6khe 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 perio/i ,qn 7l5rd(ox w q czem(*itkwp:t,6d of oscillation.

  A 0.30-kg mass is suspended on a spring. In equg4,agn1 )qwv cxcml9erk, a06 ilibrium the mass stretches the spring 2.0 cm downward. Theq9ce gkl r6vn ,)0x1g4a ,cwam 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 7yb n;n24furfa 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 r7r fyn2ub;4 nfeleased from rest. Write down its equation of motion.

  An object in simple harmonic motion obeys the 2zd 3ity)+ssi following position versus time equat+di z3i)2ty ssion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonicf 7(r7+z 8aat /4ad x5v*zn9vmkzu j3 -opcyva motion obeys the following position versus time equatio(7 v-t d/x5*urvzf 3a7ao8+4y mcazvzn k9j pan:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motqt4tx pfgr( g+xlr;2r1 ;iz3aion obeys the following position versus time equation:3xar1( 4fxtggz p;rr2lq+;i t
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to t 4u5zcd hotiw2s:d:,nv.2w o3paem n7he free end of a spring executes simple harmonic motion accordevwo3 tinoa2d .45s:w7 nmpz,d2uh:c 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 a force constanay9 (vnsvz( v,7q, gibt 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 by 10.00 cm.y(,79gnz(vvba i q ,vs)
(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 are itsz.cxvzh2 z;+5 o/akoc frequency and period oc 5;oz+ kcv xozah./2zn Earth?

  A 3.00-kg pendulum is 28.84 m long. What is its perzpbm ga1a hdgw9h 92(+8avm o(iod on Earth?

  A pendulum has a period of 2.0 s on Earth. Whalu9olt8b4g2g6r jm 55m:dw btt is its length?

  The pendulum of a grandfather clock is 1.0 m long. What is its period on the/v xmr6 myh7,z Eart/6ymx, mvh 7zrh?

  The pendulum of a grand :se3n 9ikpyr/father clock is 1.0 m long. What is its period on the Moon where the accelerationp/:3yi kner9s due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spheriy xjl cjte;x+15y d5j2z7hah *cal mass attached to a massless string. When the mass is displaced slightly from its equilibrium position and releas hy572 +axt1j5eldj* yjxhz;ced, 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 consisting of a 20-g mass has ijj,pw+k-/ha3s4mm p7s hy,xbrsou ; (nitial angular displacement of 8.0e. It oscillatehxrs s4pw3/7b y,p(u+skamo jm,;j h-s 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" of a wave at a given time. The freq rfh/ r2jbl/8juency of the wave is 120 Hz. jr bl8fj 2r/h/What is the amplitude?

  Figure 11-2 is a "snapshot"f/iv (i3zo,. djr(5glvhv )a r of a wave at a given time. The frequency of the wave iiza5.) fo( d (jl,vvirvh3g/ rs 120 Hz. What is the wavelength?

  Figure 11-2 is a "snapshot" of 2), tkn6lr7k;py km taa wave at a given time. The frequency of the wave is 120 Hz. What is the wave speed)p6 ;ml2r7tkk, tknay ?

  What is the frequency of a wave which has a period of 6.00 ms?twb rqs(0h6 g+

  What is the period of a wave with a frequency of 150 b,,nundvj++ l0 Hz?

  What is the wave speed if a wav*b)6u ;02w14dwj l)sdcy au3pmuyzk3f8 gb oy e has a frequency of 12 Hz and a wavelength of 3.0 m* 0 wyucy f)m k8a4l1g)3jd s;6buzpw2bo3duy?

  What is the velocity of a wave that has a wavelength of 3.0 m t:n wubf(e8xkr-o.+y,uu (jjz: u+d fand a frequency of 12 Hz?w(+o d,tju j:b8e-+(.n rxfuzuky uf:

  What is the frequency of a 2.5 m wave traveling at 1400 e+sdxro ,ltc;5en41(k psyp:i0dx -ka;q gv4 m/s?

  A piano string of linear mass ex g*xg*;ca r;t,)y*z yj,nngdensity 0.0050 kg/m is under a tension of 1350 N. What is the wave speeg ncggtz ;*yy;e*,n,*r)x ja xd?

  A string of linear density 6.0 g/m is under a tension of 180 N. What is the r4j. -4-qe fo5zoana,e sbuh7velocity of propagation of eur fq-n,j4.ze-oashao 745 b transverse waves along the string?

A wave whose wavelength is 0.500 m is traveling dowqwwy694de /b61juvu bn a 500 m long wire whose totayuw91b6u4qwv6 /jeb dl 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 propagatio s +akdebo: 8mqe,squx.-: ws:n of a transverse wave on a 2.0-m long string fixed at b, s bx8+eus-: :m:.e kqaqdwsooth ends is 200 m/s. Which one of the following is not a resonant frequency of this string?

  If a guitar string has a fundamental frequency of 500 Hz, which onm i9lpsv;m) hoe k04;8 kz*erge of the following frequencies can set the string into resonant v pvs h kg ike*mlmro)e4;z098;ibration?

  A stretched string is observed to have 0g0u1w7 :ils nnav jwk/ e-p8yfour equal segments in a standing wave driven at a frequency of 480 Hz. What driving frequency will set unvuy-/0gln: 8wjk0iw1e asp7 p a standing wave with five equal segments?

  A string, fixed at both ends, vibratezm tq,h (u7(xvs at a frequency of 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency h zx,u( vq7(tmis needed if the standing wave pattern is to contain 4 loops?

  A string of linear densi-0zc0,lkx6rg( qzz axty 1.5 g/m is under a tension of 20 N. What should its length be if its fundamental resonance fr60 ,0krgz z-czqax(x lequency is 220 Hz?

  Find the first three harmonics of a string of linea5aj lu95u;thn hnk)7t65ja var mass density 2.00 g/m and length 0.600 m when it is subjected totnv 96uahlt75u; hkja5a5 n)j tension of 50.0 N.

A string of length 2.5 m is fixed ahk 85q*rj9n* 8cz+ hzix0 ndlst both ends. When the string vibrates at a frequency of 85 Hz, a standing wave with fih dz ncz5l+*8r8qxkhi9s0 j n*ve 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.