The time for one cycle of a periodicg(1 qxweyh s1j l0wpp5 )92ymt process is called the

  For a periodic process, the number of cycles per unit time is called jqj*ptr a2mdx (m1)t 0the

  For vibrational motion, the maximum displacement from the equilibrium poi;horitr2s) r 8nt is callerrt i)h;s28ro d the

  A mass on a spring undergoes SHM. When the mass ieavw0q.gh 4:q r l,/gjrdg s85s at its maximum displacement from equilibrium, its insta :g lg j/d8w 4ve,5srrqhq0g.antaneous velocity

  A mass on a spring undergoes SHM. Whefe0xehjql p : h2-s+:an the mass passes through the equilibrium position, its instanta -+2ap :fqhxhesje0l: neous velocity

  A mass on a spring undergoes SHM. When the mass is at maximum displacement34vmdl,y.s.;la q:ya up (yoh from equilibrium, its ind3.p v q:,o (auy hyl4sa.ml;ystantaneous acceleration

  A mass is attached to a vertical spring and bobs up and down between points A 0vdve vjs9p * 4v1i:aeand B. Where is the mass 0ape d91v :ve4v ji*vslocated when its kinetic energy is a minimum?

  A mass is attached to a verti+bpum9 7vq8yf wq9wp4 cal spring and bobs up and down between points A and B. Where is the mass located when its kinetic energy is aq79p8vm9p 4fw q buy+w maximum?

  A mass is attached to a vertical spri 59t;*2cofsyl4f.*y xfblq jyng and bobs up and down between points A and B. Where is the mass located when its potential energy is a minimfjflfty4y 2 ;.xy* 5cb9sqol*um?

  A mass is attached to a vertical spring and bobs up and down between pointsf 7p*z3+mehfpy rb0wg71o i1v A and r*v1p+ 7p31wh 7oig0bfefzymB. Where is the mass located when its potential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-spring system prodysh5h 4ath8d0uces what effect on the hhy d58h4t0assystem's mechanical energy?

  Doubling only the mass of a vibrating mass-and-spring system producm ( pv1)o-hbm ;om4arlwn9zz;es what effect on them h)(mn;9 4l-b;o wopm zvarz1 system's mechanical energy?

  Doubling only the spring constant of a vibrating ma3i6 y uiyuarn:: rd;q4ss-and-spring system produces what effect on the ray ;:yiiru u4: dnq36system's mechanical energy?

  A mass oscillates on the end of a spring, both on Earth and on the9 86qo1h6 mq wh-veexe Moon. Where is the period the greatesh6- eem1q8hvoex9w6 q t?

  Increasing the spring con owgcsb *tvednwz:l-n.sr 6 6+i: tv.6stant k of a mass-and-spring system causes what kind of change in the resonant frequency of the s.slv eoc-+i6bzr6: vnwgtn s.t *w6d:ystem? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system causes what kine; wa 9)wnup5io*xtqnv8 ;x7td of change in the resonant frequency of the system? (Assumeo)vuww98;xx5* pit7 nq; aent no change in the system's spring constant k.)

  Increasing the amplitude of a mass-x)o8 d;np xi*hand-spring system causes what kind of change in the resonant freoh p8nx*d;i)xquency 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 weightless s31m b7m5ha , 2pkbtjyxtring of length L. For thih1 53 ytb7mjam, x2pkbs system, when undergoing small oscillations

  When the mass of a simple pendulum is tripled, the time required for uel(d ml(j6-q one complete vibratione6ml lu- jqd((

  Both pendulum A and B are 3.0 m long. The pel m(36;vmk 7frnb)xgsriod of A is T. Pendulum A is twice as heavy as pendulum B. What is the period fx rvm6n3)l(mbg ;s7kof B?

  When the length of a simple v*dd 7.vkyh7 +i 9rcbppendulum is tripled, the time for one complete vibration increases by a fkbpv 7 9d.h*+rd ci7vyactor of

  What happens to a simple pendulum's frequency if both its lengxvu u; sco9sy) 5bm-5eth and mass are increae u-voy m)scux55s9b;sed?

  Simple pendulum A swings back and forth at twice the frequency of simple penduluas2bo-b-ejl:-a 7 pdatd9:h x m B. alpd:xa-7obt : -2jb -a9se dhWhich statement is correct?

  If you take a given pendulum to the Moon, where the acceleration of gravity is7*,j . kfptjt:zj8cs,liw2sww2f qj x;v ,ra4 less than on Earth, the resonant frequency of the pe*:q wsza,7.jj2ljit x2c fp4s;,r 8wwtv,k j fndulum will

  Curve A in Fig. 11-1qhi79y9o s9 jp5b 8bpa represents

  Curve B in Fig. 11-1 re9ti3o,+z.yba+d r j6we9:nwz7qg dzig g;nh)presents

  Curve C in Fig. 11-1 represe8dn5dj5yuk09x rdxifr(q6 r3 nts

  For a forced vibration, the amplitude of vibration is found zc8u1rok0 vqo(bax z/s x 6o35to depend on the

  In a wave, the maximum displacement of points of the wave from eaw yo,8 e:tkm ,l.r-fmquilibrium is ca8,-ae,lw.:r o ftym mklled the wave's

  The distance between successive crests on a wave is called(uu:c pv5l b) +tfrv/ghq, dn8 the wave's

  The number of crests of a wzb2k133e5 +brvch agm iuio1+ave passing a point per unit time is called the wave'sievc13k+rhma+u1g 3o 2b5bzi

  For a wave, the frequency times the wavelength is t8 xc)dr8wu y4nhe wave's

  The frequency of a wave increases. What happens to the dismy0sl4aerz +8 j4* waftance between successive crests if the sw4m4af j*8r ey+zas0lpeed remains constant?

  A wave moves on a string with wave th(w0eqq(j 5p0yogc8aw-lw8length l and frequency f. A second wave on the same string has wavelength 2l and travels with the same velocity. What is the fre80e y0gj8o(hw(5qqtwa-pwc lquency of the second wave?

  Consider a traveling wave on a string of length L, mass M, and tension T.tr69. 1+,qlbv-pbdf2 a;zzysgqbm v) A standing wave is set up. Which of the following is )fzb9 p26q m;rbd,zyv1a .v+-qg tlsbtrue?

  A string of mass m and xev.h2su,8aj 9kwejd c .uzd cdl3+kd6+9 s 2vlength 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 the mass of the string is increasedudexj3z ws+9 2dc de+ d26avshk8,vj 9 l.uk.c to 2m, with no change in length?

  A string of mass m and length L is under tension T. The s da4ncbmbrefmfn8++ n..0r* opeed of a wave in the string is v. What will be the speed of a wave in the string if the length is increased to 2L, with no cennfmr. 0nfoa*brbc+.4 d8+ mhange in mass?

  A string of mass m and length L is under tension T. Thypag: -).ai g6tb t7qfe speed of a wave in the string is v. What will be the speed of a wave in the string if the tensgt6) y-b iaa :.f7tpqgion is increased to 2T?

  In seismology, the S wave is a transverse wave. As an S wave travels through tps3t-7) nllm+(ih :s4 nuoanshe Earth, the relative motion between the 4ai 3:m7+-tpsh l nssn()nluoS wave and the particles is

  In seismology, the P wave is a longitudinal wave. As a P wave travelst6su lv1 pr)f; through the Earth, the relative motion betw;l1 fvrups)6teen the P wave and the particles is

  The intensity of a wt8: v;ya ;oo avkjc:(eave is

  A wave pulse traveling to the right along a thin cord reaches a za*bjx fqc19hx-6 +( qh zlw/gdiscontinuity where the rope becomes thicker and heavier. What iaqxl zq6wjzhc h *(+9fbg/1 x-s the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitude x.kvo9;sxb )a3*buq*edb n,r3(hbj v s 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 samrb9ux3; j*n x oq)svebd.*(bk bv, a3he region of space at the same time

  Two wave pulses pass each other on a(ur6h)ht u5 id/diw:j6yc m :s string. The one traveling toward the right has a positive ampli:m su/ wurc:yhi d6(it)dh6 j5tude, 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 time

  Resonance in a system, such as a string fixed at both ends, occurs whengse25ukk 0 ;iy

  If one doubles the tension in a violin string, the fundamen3 2rbult anl y1vq3o2ub9k(k; tal frequency of that string will increase by a fac(3tn kl2u1kr aby2ql vuob9;3tor of

  What is the spring constant of a spring that strpyr4aj:5 jr6ng 2*h br(k hd,jetches 2.00 cm when a mass of 0.600 kg is suspended 6a hhbnrj:5rgj24jdrp(k ,y* from it?

  A mass is attached to alqmjv6j 5a,q k* d+dq9q8wnq z m12 y7f:yz0ri spring of spring constant 60 N/m along a horizontal, frictionless surface. The spring is initially stretched by a force of yddyi1v9mqa8 : jr,m5 f26jnkq * lwz7qqz q0+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 consyr0gymg;6g4 j tant 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 oscim 6g;yjg4 ygr0llating. What is the period of oscillation?

  A mass is attached to a spring of spring const2 (7xlplukmz,k +gul8r bjv7fr9wk 2 .ant 60 N/m along a horizontal, frictionless surface. The sz 2,r.pmlk2rl lgk+9u( 7 vfwb7xkuj 8pring 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 frequency of oscillation?

  A mass on a spring undergoes SHM. It goes through 10 complete oscillations jg85la+v m z4h1qw7pzz,kvf5in 5.0 s. What5lpz58 ag1 jzz mwkv+fv4,hq 7 is the period?

  A mass vibrates back and forth from thx):m7 si:fgaqaq5bj k+i0y( je free end of 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 0.3m bi jyi)a:k+g0a(f qs5x qj:70 m from its equilibrium position?

  A 0.50-kg mass is attach0(.b zsaz.pp8+vc ax fed 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 positionp zacfa8 (.pzbs x+0v.. What is the total energy of the system?

  A mass undergoes SHM with amplitude of 4 cm. The energy is 8.0 J at t:g v+:p .1sv,wnwvzo. x4yq hvhis time. The mass is cut in half, and the system 1xv+v. o wyhv:z 4:vw g,psnq.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 20 N/m alon b5k9 sdaqc70ft4 c3tjg a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s at the equilibriums0 tj4backqf ct3d 759 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 horizm vk8go 0c*/ fer5g,vbontal, 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 energbrk,fvco v/80 5g *gmey and the potential energy the same?

  A 2.0-kg mass is attqtp/8,tuybhxv*p:w. x0o d; t /x5 isj*zk)ugached 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. What 5o*xs*);v.yxt/,u/ p8tiju 0 b:thx zdkgq pwis the total mechanical energy of this system?

  A 2.0-kg mass is attached to the end of a horizontal sprin 3dnesk +-m74sz : z2llkaz+dyg of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m.s3ld z+ k74 y:e-z+sdn mzka2l What is the total mechanical energy of this system?

  A mass vibrates back and forth from the free end of an ideal spring oa ckhv :4tq.caw u3q6tp (43kxf spring constant 20.043a qv t.acw3 kx(k4cht6up: q N/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 sys2 )ouo3z)fl7xg8eaqo tem is displaced 10 cm from its equilibrium position and released. A frequency of 4.0 Hz is observed. What frequency would be obserl8))3 eq 7uooa2xzgofved if the mass had been displaced only 5.0 cm and then released?

  A 4.0-kg object is attached to a spring of s/t5x5:x;;xe7 wqtvo9, ptgv6 irukl d pring constant 10 N/m. The object is displaced /x;xt;x5kul6 9r:tv,wg pqei d7ovt5by
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 object0 xpm4apt wvq.fh: u-sf4)qt6y5vb m4 is displace0m5qmx)hfwvv44 s: qtp 46f-ybput .ad 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 sprisw)w3s k)(oyc (4ozwo ng constant 18 N/m, displaced slightly from its equilibrium position, and released. What is the frequency of it z3k ocswwso) w)4o((ys vibration?

  A mass is attached to a spring. It oscillates at a frequency i dcykum -g.er4 -.+pja ,4bwcu2) fnwof 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and rel+fkjup, wy.c-rg4n du w2.b 4-aie)c meased. What is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to different springs. Mass A vibr/fga;.m0:1rx-ccnl+x f nsldc:uhq 9ates 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 q: mgcfdlc1r0;nxs+:hnc-xu al9f/ . A compare to the maximum speed of B?

  A 0.30-kg mass is susny:h.v t3+trevlsz * yvi ksi*2h:1o3pended 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 d+i:z *y itrv 2*l.s:oth k33nvsy1ehvown and released from rest. Calculate the period of oscillation.

  A 0.30-kg mass is suspended on a spring. In equilibrium the ma9r25 dbtaaogsp ,z+(ie8 x f3sss stretches the spring 5tgb98pr+ad is,szo(23exf a2.0 cm 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 tv+i.r0jj6o zb he spring 2.0 cm downward. The mass is then pull.0zib6 rvj +ojed 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 folui++z h;ilgvvb yjmbt+745t0 dgmu /,lowing position versus time equatiotu+,0zgv5tbd4v;u b/ yih+ j+ mli 7mgn:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmoniz l)e:amrp2*zowt*4yrm*8 nso8(42 hnkjmj xc motion obeys the following position versus time equa(n*m rj8:p z4z smrk2jw* o 28omha*xy)l4tnetion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the fq-h4c.ee. f rrollowing position versus time equat e.hrc4-.freqion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple harmonic mot1501 5t ndhmofat0ic vion according to the equatiodh5tan1 1of0 m05cvtin $y = 0.50 \; \sin (18\pi \times t)$ where y is in meters and t is seconds. What is the period of vibration?

A 1.5-kg mass attached to splo tqaes c- a7:x+)0ktring with a force constant of 20.0 N/m oscillates on a horiz -0e xtk)taqso+ca: 7lontal, 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.)
(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 swinedrhnwc 0*cekwlqyvdd0s l 8a8x, +f46w.8z2gs in 8.0 s. (a) What are its frequency and period hn0ae +w.k6lceq8swc082,lrz yd dx8f 4vd*won Earth?

  A 3.00-kg pendulum is 28.8al ndq24goux bimo4 3-v0w8r +4 m long. What is its period on Earth?

  A pendulum has a period of 2.0 s on Earth. What is its le1s 6b5sxo z o3rke7j8gngth?

  The pendulum of a grandfather clock isr qvx 0c dy4dkq:./o(6ke;edk 1.0 m long. What is its period on the Earth?kqy4q(x e :dv rdck0d;. ok6e/

  The pendulum of a grandfather clock3h *s, 3g sj4evhrcypz-17iwu is 1.0 m long. What is its period on the Moon where the accev 33urzph*sw,1-s ihycej 7 g4leration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attached to a maso 5kxdgm42-f asless string. When the 5d komg-fx 2a4mass 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 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 o.p,b njbl8f xlejg p p3z;ur,liwll+5qu 2) -7f 8.0e. It oscillates with a periu,fjb;.ni,lx - b2j u) rlpzg +pqp78l3w5ellod 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;jvhhzn 9p.,g q9 jjr.uency of the wav.h jq 9j,h9;p.gvjznre is 120 Hz. What is the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency ofu(b24 xmc) smx the wave is 120 Hz. What is s) (mm24xcuxb the wavelength?

  Figure 11-2 is a "snapshot" of t0cuh2(lp-a g a wave at a given time. The frequency of the wave is 120 Hz. What is the wave sp2lgh0atu(c- p eed?

  What is the frequency of a wave which has a period yjtgix 3w4b5,of 6.00 ms?

  What is the period of a wave with a frequency 8ud38pnd 5esm/gm7bxgn30 nh i7w2 y nof 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Ha7 ls9; i7pcv ,jq-xpvz and a wavelength of 3.a9p ijvxc7l7,; svpq -0 m?

  What is the velocity of a wave th hwg7f4d lo2-cat has a wavelength of 3.0 m and a frequency ofo hf7 c-d4w2gl 12 Hz?

  What is the frequency of a 2.5 m mczog0/*:y+w-6n kqvq e/ nf zh1no,twave traveling at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is under a tension gzdk+l9: no8z of 1350 N. What is the wave sdz+g9 lzok: 8npeed?

  A string of linear density 6.0 g/m is under-zyyma w h c, 6vnoorr3e.q+,3 a tension of 180 N. What is the velocity oh3yra 3 + ,.qyrwmzo,cvon6-e f propagation of transverse waves along the string?

A wave whose wavelength is 0.500 m is traveling dowu.; (o:dq;lo j tq9ysqn a 500 m long wire whose totald;9qsqljo ;otu.:q(y 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 -v-4wnck:1 2b arogdlof a transverse 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 rl1:a -nd4cko b2- wgvthis string?

  If a guitar string has a fundamental frequency of 500 Hz, which one of the follf64c)uc-1b w 3dyhy q0il (endowing frequencies can set the string i dlbc in)(ch10y d34fy6qewu-nto resonant vibration?

  A stretched string is observed l0tdc)q;sp ivwq*g: 4 to have four equal segments in a standing wave driven at a frequency of 480 Hz. What driving frequency will s ctqv pdwq *lg)4i;:s0et up a standing wave with five equal segments?

  A string, fixed at both ends, vibraty3av :1sik 2i bdgf;0ges at a frequency of 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency is needed if the standing wave pattern is to g ;d1i :0yba2g3 svifkcontain 4 loops?

  A string of linear density 1qt-oja41dsy g.e+q w ,.5 g/m is under a tension of 20 N. What should its length be if its fundamental resonance frequency is 220 Hzqejgy +t.o 1a-w,d4q s?

  Find the first three harmonics of a string of linear mass density 2r,0 f7zonu /q+b 3cwpl.00 g/m and length 0.600 m when it is subjectedcnfu o+p7b/zq,lw 0 r3 to tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. Wo-hq aep0/b:0 bbbk7 hhen the string vibrates at a frequency of 85 Hzb-/hboh :q70 apbebk0 , 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.