The time for one cycle of a perio9na bc 7g*wkb27v1oqq,dyvyr)p4 wd 1dic process is called the

  For a periodic process, the number of cycles per unit time is caojjor 6(l3kv jb6fg ht6xg6:8xy1)rulled the

  For vibrational motion, the ml. ) cncw48eczne00xmaximum displacement from the equilibrium point is calleen 0lm0)c.c xecz n48wd the

  A mass on a spring undergoes SHM. When the ma;bhcb v , w6nb08:ndx*0+ qq rkh3drxyss is at its maximum displacement from equilibrium, its instantaneous velocidchk3vqx 86n:0bq0n rxbby* rd; wh+ ,ty

  A mass on a spring undergoes SHM. When the mass fbebz shss8ra- ,1o9zumkwi 7;cb- 3*passes through the equilibrium position, its instantaneous vck b18h3 zzsbu *ew79;--i om,rabfsselocity

  A mass on a spring undergoes SHM. When the mass is+4grv+b i(t5zpr ;rnp at maximum displacement from equilibrp54brpti(r +z;r v+gnium, its instantaneous acceleration

  A mass is attached to a vl e49ezn1k+bnu d1xsmu(t c )8ertical spring and bobs up and down between points A and B. Where is the mass located when its8udnsz exkmu )4b 9e+(1ctnl1 kinetic energy is a minimum?

  A mass is attached to a vertical sprinrsgja62 tvy2 7g and bobs up and down between points A and s2ty var26 7gjB. Where is the mass located when its kinetic energy is a maximum?

  A mass is attached to a verti: .qafa*:bm cpny8h bt ofi2:4cal spring and bobs up and down between points A and B. Where is the mass located when its potential energy isb cb 4t. nyhpa: of2am*f:q:i8 a minimum?

  A mass is attached to a vertical spring and bobs up and down between points31t(*jhnceq(jrq ;u0u o2 imp A and B. Where is the mass located when its potential energy is a maximum;t m ijo23r (uhjcpqq1e(*u0n?

  Doubling only the amplitj bt)lu83 /4:ptqygb3fv t *geude of a vibrating mass-and-spring system produces what effect on the system's mechagl8*3uttp) b /4je3fvtyg q:bnical energy?

  Doubling only the mass of a vibrating mass-and-spring system produces what efk+ml :wix5z-bkfb8o p9 ht7o0fect on the system's mechanicalf 5ibh+obk x :k9ml-zt 08p7ow energy?

  Doubling only the spring constant of a vi-ppo3lp z3pnpu oj+y.-+x) psbrating mass-and-spring system produces what effect on the system's mechanical esypon+p) + 3-xup ppo.ljpz -3nergy?

  A mass oscillates on the end of a spring, both on Earth a j kiy423ep5nvnd on the Moon. Where is the period the greae253vp kj4i nytest?

  Increasing the spring constant k of a mass-and-spring system cayfq.bj,7xtrux+5b+fnci; lj3 h -mk /uses what kind of change in the resonant frequency of the system? (Assume no change in the system's mass thl ,j.+7k ;rn+m5x/bcq3xjff-ui yb m.)

  Increasing the mass M of a mass-and-spring syst bou yd)lps.kx-xfp-jt)w r/0gx:1c) em causes what kind of change in the dj prs-pbuk):o).lxg xt0)x-wf1c /yresonant frequency of the system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system caus jyr (55stl.0iri1ygbs)9ubb es what kind of change in the r 1urb 9tr.55sbi ybyisg (jl)0esonant 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 weniguo z+hmsn5 o fjz* s+)q9j,9 n0nb,ightless string of length L. For this j9uns s9n,h)q+jz+og om50iz n* ,fnbsystem, when undergoing small oscillations

  When the mass of a simple pendulum is tripled, the time required for one compla. gt-o d2o(g5qswge8 gxsn 12ete vibrati5d wqg-8gg oxg1n2.2s(taseoon

  Both pendulum A and B are 3.0 m long. The period of zxgmy.-qly ;9A is T. Pendulum A is twice as heavy as pendulum B. What is the period ofy gq -y;xm9.lz B?

  When the length of a simple pendulum is tripled, the time for 5yjq.ots q+4k mj m;5vrh7) hlone complete vibration increases by a factt7jsl h)y qh 5+mqvro5 ;jm.4kor of

  What happens to a simple pendulum's frequency if both ib.w qw1f455h0e+ znc*ivf ceets length and mass are increas+v1*wcb ifq5w .4h eze5c nfe0ed?

  Simple pendulum A swings back and forth at t/g4 tplh :+jqv0m)v htwice the frequency of simple pendulum B. Which statemenht/hvt: 4+gj qv)m0l pt is correct?

  If you take a given pendus :4+k+hh4r a 7iiilmulum to the Moon, where the acceleration of gravity is less than on Earth, the r +:ilumhi ir4hsa 47+kesonant frequency of the pendulum will

  Curve A in Fig. 11-1, jx/i;il c6f+gmoh/4j qjdu r*:n ek1 represents

  Curve B in Fig. 11-1 represe hsd5j/9+c i vsk),tvxrqx77tnts

  Curve C in Fig. 11-1 r 0e-(kmvvq -zrepresents

  For a forced vibration, the amplitude of vibration is found tob y3mn wa rt-07ywr(2s zi.cc6 depend on the

  In a wave, the maximum displacement of points of the wave from equilibrium/e0m 0 zb9pqpvxzph(t0nuku3:l .u:o is called th3 zp (0uvekqpxozl0: /:9 thup.u0nb me wave's

  The distance between successive cre6x hd qsn(;hkkenb57i2 e rg9xo72:dusts on a wave is called the wave's

  The number of crests of a wave passing a point per unit time is called the :mvg w13 -y(,jq*vro opkmb55 l7dywm wave's3ymo pj-7dyq (o,1k 5wrwv:vm5lb gm*

  For a wave, the frequency times the wavelength 5e4k:z 3gkr57isna ef is the wave's

  The frequency of a wa riaig1ilvf5m9kx6e titrr0 b m) -9+-ve increases. What happens to the distance between successive crests if the speed remainsf)rgl i +v0r695-itb ik mxm-i arte91 constant?

  A wave moves on a string with wavelength l and frequency f. A secon hm w ,8i1asdr;s vb-p-k.;vphd wave on the same string has wavelength 2l and travels with the same vs wp k-,.1 v8m;ia-hsd vb;phrelocity. What is the frequency of the second wave?

  Consider a traveling wave on a string of length L, mass M, and te. r/6insxno,z9v *)3lx h xevqnsion T. A standing wave is set up. Which of the fnvi),r*s/ q.9o3xnxvlezx6h ollowing is true?

  A string of mass m and length L is under tension T. The speed of a wave in theftjd,j )na ,4u3qrh/n string is v. What will,rqhu 3)ntn4jjd,a/f 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 i/i1a2nbh a0g 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 sg1ia/ anib h20tring if the length is increased to 2L, with no change in mass?

  A string of mass m and crzon9ycq9a2 md*tk.b -2m2 m length 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 992 2k*dr m2tyn omza-cb .qcmstring if the tension is increased to 2T?

  In seismology, the S wave is a transverse wave. As an S wave travels through qnjxh,neg, 9a xco(bw;1u 3t5 the Earth, the relative motion betweeu1waotbnn,;53g qxe h j(c9, xn the S wave and the particles is

  In seismology, the P wave is a lhs +f0b9q lat7ongitudinal wave. As a P wave travels through the Earth, the relative motion between9 bfqls0a 7t+h the P wave and the particles is

  The intensity of a wave-fhwizc42k;oba l3 , zimk3x3 is

  A wave pulse traveling to the righta)a.zv p 8p -m;fev0ny along a thin cord reaches a discontinuity where the rope becomes thicker and heavier. What is the orientap8z ; pn e0vf-va.ay)mtion of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudw4qs /m1mx7 wgfxzyk vxx)(2.es pass each other on a string, one is traveling toward the right and the other toward the left. At the point zyxw4.xk7mg1x2x/(ms wv ) fqthat they occupy the same region of space at the same time

  Two wave pulses pass each other on a string. The one traveling toward the rigl/ku;zei 9va;i, 1e iyht 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 spa;;9i /azelkiiv 1y ,euce at the same time

  Resonance in a system, such as ag 1 4c2e h licp39;pg/3z)k zopr(oina string fixed at both ends, occurs when

  If one doubles the te -wjksgf*p9brd7 p-n6nsion in a violin string, the fundamental frequency of that string will increase by a facto-69 pk* gnf7spdb-jwr r of

  What is the spring consac uftvh:.fx1(.tid;r3c v , smnnv1)s 2w2zhtant of a spring that stretches 2.00 cm when a mass of 0.600 kg is suspendedhfcfv1x:2sd .3r(wv;c,s man vn ut1i.t zh2) from it?

  A mass is attached to a spring of spring constant 60 N/m along a horizont*brl9x 4 v 3/q80bqme) lev:crwnjfo ,al, fricbre*0:nle w)c/ m bqj,q9rf8 l4 vx3ovtionless 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 the amplitude?

  A mass is attached to a spring of spring constant 60 N/m along a horizou5.)rgirh0 /uz k oohr -8prd*ntal, 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 oscillatinghor urk -udr)5/z r*.0ogi8hp. What is the period of oscillation?

  A mass is attached to a spring of spring constant 60 N/m along a hori lgyn2dbhqc p4) n5(y9zontal, 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 the frequency of osn4 ldb()h g cpyn9qy52cillation?

  A mass on a spring undergoes SHM. Imgg z* 8 j+kj(bg+b/5auwh*gst goes through 10 complete oscillations in 5.0 s. Whatwggk 8(zj++ s*umjg/ab*bgh5 is the period?

  A mass vibrates back and forth9nq, 5hir /f sxn3dme1 from the free end of an ideal spring of spring conn rneh 3 q1s/,9dm5xfistant 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 equilibrium position?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m along -jb,i)hykff5 ;fn;mdh c6/l sa horizontal, frictionless;6;hf-5d cjb ms ) fk/yni,hlf surface. The object oscillates in simple harmonic motion 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 ene,nsvgvn*oq1 1rgy is 8.0 J at this time. The mass is cut in half, and the system is again set in motion with amplitude 4.0 cm. What is the esgn no* 11vvq,nergy of the system now?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m alongd -xrw g6io x8knn*l*( 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 (8oi xnklnrg d *-6wx*amplitude of vibration?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m along a horizotd82 s 51j f2+sodiazvntal, frictionl1sa25j tdov8d+z2 sifess 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 attacheu 4z0/ bw iezt0xh-4z+5vfcyy d to the end of a horizontal spring of spring constant 50 N/m and szb50x-4yz uvwic/t zf4 yhe0+et into 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 enig5dx.fwi+yh3p.,8wj1neo( 2 ne e 0ka j.kfnd of 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 energ i1dwee52 kj,g( w0 nnheo .jnxf.y3ifpa.+8ky of this system?

  A mass vibrates back and forth from the free end of an ideal spring of spring usj :aw: kt97pconstant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kinetic energy of this vibrating mas 97ktwajusp ::s?

  The mass of a mass-and-spring system i;b)+ ;4qygpdh 2gko sxa 5x+ads displaced 10 cm from its equilibrium position and released. A frequen)d+x;gd;y5ka+qap h 4gbx2 s ocy 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 ata2sg;dy zyu6 ( :)6uqzkdr +z)htz o1xtached to a spring of spring constant 10 N/m. The object is displaceuxgd;q6sd6yarh z:2)(1 zo uzy )kz +td 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 springiq 6qb/bjqwh1pk /y.0 g y7a;e constant 10 N/m. The object is displ .7q6/w yhi/ bp0;yjkbqe qa1gaced 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, displaced slight6 lvm7 l5ibum8ly from its equilibrium pvui65mml8b 7l osition, and released. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a freque0ws9y eiy*,0o .gs 6r j fdve8sh vqx5:*ia(vrncy of 1.27 Hz when displaced a i s d80xr r 0y,agsyevwovh9 ** s5.fvj(iqe6:distance of 2.0 cm from equilibrium and released. What is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to different spri61/ hs* jpyc9yu pajs(ngs. Mass A vibrates with amplitude of 8.0 cm at a frequency of 10 Hz and mass B vibrates with amplitude of 5.0 c spjucsh6aj* 9 /yyp1(m 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 ofr2v2by 0 ;bjun 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 down and released from rest. Calculate the2y2 ;rb 0vbfuj period of oscillation.

  A 0.30-kg mass is suspended on a spring. uig)- ox2j+ lnIn equilibrium the mass stretches the spring 2.0 cm downward. The mass is thenu2i x) lo-nj+g 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 v dbs+sc07lnc21g ,ml-nr:( aomnbh 4hn m7y5 mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and +-o(gsvmn:7 1 5 yr,s7bh nn0mmcdll2 na h4cbreleased from rest. Write down its equation of motion.

  An object in simple harmonic motion obeys the following position versus timesft52kd4k 1 :ocn hf:j-(+jcn,m fgcrvb0 hy+ equah 5m4+h tf-r(fj+cdk fcnjogyc10vnk,: sb2:tion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following position ve.ggb gln ./pimzfr.w 1u*e,n5rsus time equ glz,gb mn./pfr.g*5iew.1nu ation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmoxpzd lc7vt03-o3 cp0tnic motion obeys the following position versus time equativd t703x-p0zlo3ccpt on:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring execuwnp0: ,buvj5 otes simple harmonic motion according to the equatinp:ojwv0 b,u5on $y = 0.50 \; \sin (18\pi \times t)$ 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 ry)3a q;eis.slv.k70 qp7rmx oscillates on a horizontal, frictionless track. At t= 0, the mass is rsr3vp .m;kxl .qiqea7s) 07 yreleased 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 are its 3 ,rp3evhe8y o2z ., lmrrq2mqp(js2nfrequency and period onrvqeqn8hr zr yl(o3pe pm2sm,.j22 3, Earth?

  A 3.00-kg pendulum is 2i 0+1 gjrmjedkak )z(m*7xkd 3/ parl;8.84 m long. What is its period on Earth?

  A pendulum has a period of 2.0 s on Earth. W hns0-wluxjq 0y r6u6-hat is its length?

  The pendulum of a grandfather clock is 1.0 m long. What is its period on t rf u7,a0d.tcmpct +1vcku 2(vhe Eapc r(ckft1.mvtu,2+v 7 duac 0rth?

  The pendulum of a grand0an,cs2eoqbr)bz+p: father clock is 1.0 m long. What is its period on the Moon where the acceleration due to gravioz0qsb+ :e2)bp,ra cnty is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass hgxzs1v+ 1,8ai nmkppb,cvpk179sh8 attached to a massless string. When the mass is displaced slightzp,x9 1ivss,m7kn1a8g 8 bhpc+pv1h kly 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 20ld8 2ipn i5,/q;ps//y tiy8gbau*mk a-g mass has initial angular displacement of 8.0e. It oscillates with a perioi/8i,8m/tnag/us q a 5p*b2i;kypyd ld 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 a64x sdu jx:yge;6mli( given time. The frequency of the wave is 120 Hz. What is the amplitude?xyl; suxdm6 g6:ei4(j

  Figure 11-2 is a "sn,krr6hct ;xc; apshot" of a wave at a given time. The frequency of the wave is 120 Hz. W,6x;kcht;rc r hat is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given tim 4vu npq1de54je. The frequency of the wave is 4pdv5e 1q unj4120 Hz. What is the wave speed?

  What is the frequency of a wave which has a peri- qtgrr(q3k f/od of 6.00 ms?

  What is the period of a u:zy jr/v+ah( wave with a frequency of 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz ann7z9 f4w:azm dd a wavelength of 3.f w:7zmad4 z9n0 m?

  What is the velocity of a wave that has a wavelength of 3e(8wuig8otpko m 7ii ,x-1b/e .0 m and a frequency ofiexi gimb- (,w 7o8uekp/t1o8 12 Hz?

  What is the frequency of a 2.5 m wave traveling at 1400p s8u6(8ck48zmoqg s e m/s?

  A piano string of line(c t,oqv,f 8i8:r6uvu y /pvgaar mass density 0.0050 kg/m is under a tension of 1350 N. What is the ,6 g,a8cvyuv(ov/q8fpi :rut wave speed?

  A string of linear density 6.0 g/m is under a tension of 180 N. Wew j 7ev1x/g1hhat is the velocity of propagation of transverse waves xjeghv7 1 e/1walong the string?

A wave whose wavelength is 0.500 m is traveling down ay5lykuu-ymnd/36 d 4m 500 m long wire whose totaly3k 5uu dy/m-dln ym64 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 transverse wave on a 2.0-m l zx* x z5ys9ekkqmss0jzu 8 -46pu+5slong string fixed at both ends is 200 m/s. Which one of the following izss0-jeuz58 yxqp*slz +kk 45u ms9 6xs not a resonant frequency of this string?

  If a guitar string has a fundamental freq)v, :dmdi.omx uency of 500 Hz, which one of the following fredmmx)o: d,iv.quencies can set the string into resonant vibration?

  A stretched string is observed to have four equal segments in a standing wave dr6./ist ak- avkiven at a frequency of 480 Hz. What driving frequency will set up a standi-ia s. 6tkkv/ang wave with five equal segments?

  A string, fixed at both ends, vibrates at a frequency of 12 Hz with aouh 442m*k y qerdup13 standing transverse wave patte3d21*ey4rh uqkpmu4 o rn containing 3 loops. What frequency 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 5xqf 2 /jftfyg:i+qkya6(m 4*k-zyncN. What should its length be if its fund/5k 2-t fq: yj xi4k+zyq*ca(f6fgn ymamental resonance frequency is 220 Hz?

  Find the first three harmonics of a string of li98-m 1 brrdsz5 5woaesnear mass density 2.00 g/m and lengtae8s-r s55wmdb9 or1z h 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-nwh:mv cv( *c. When the string vibrates at a frequency of 85 Hz, a standing wave withm-( *v c:cwnvh 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.