The time for one cycc z3 s0xfa9z+jle of a periodic process is called the

  For a periodic process, the number of cyclesd0lic+vckl)bju3wg )w374 l t per unit time is called the

  For vibrational motion, the maximum displacement from md .p o,mojd,+the equilibrium point is called+j ,, mdopmdo. the

  A mass on a spring uv8iv hi.7 4kdon ysso vb50 4yi:x+uq9op;s)undergoes SHM. When the mass is at its maximum displacement from equs4v+xqovoi;n:i iu0 su h.yk9 d )4 7vpyo8s5bilibrium, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass passes t:0stsip, u,tyhrough the equilibrium position, itst:,tu, p0iyss instantaneous velocity

  A mass on a spring undergoes SHM. When the mass is ytzs1+ gmze 4 w-wcw92at maximum displacement from equilibrium, its94ecw zww+2s g1mtz y- instantaneous acceleration

  A mass is attached to a vertical spring and bobs;ewyw 8zo/ 1f1oi-;yidk () buu+aiur up and down between points A and B. Where is the mass located whe+f y8ie i-uo arwkod(buw1 );u;zy/1in its kinetic energy is a minimum?

  A mass is attached to a ver 8 3vb st/tye/b:qb9v(i 3hmrltical spring and bobs up and down between points A and B. Where is the mass located when ivhq bibm(by t/ls /93t :e38vrts kinetic energy is a maximum?

  A mass is attached to a ver3ti;ozki3ja ,4 s) 1q0geem kytical spring and bobs up and down between points A and B. Where is the mass located when its potential enerzj q3o,40 kta isem1e ;g)yi3kgy is a minimum?

  A mass is attached to a verti 5h epqwju.40vr7uujgn* ovq:2ao(3xcal spring and bobs up and down between points A and B. Where is the mass located when its poten7vewj*rvuu5u(xq.g a :h q poo34j n02tial energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-spring sy2o t4n0lbxgb l pm.k;+stem produces what effect on the system's mecha.mb20onkx;p4 bl tgl+nical energy?

  Doubling only the mass of a vibrating mass-and-spring system producei dtvyj072(yhe, u7c.jwquv4 s what effect on the systemyitu .v2w4,7j y d7vjehu0c( q's mechanical energy?

  Doubling only the springa 5a7g9uiil (w constant of a vibrating mass-and-spring system produces what effe (a9lwugi ai75ct on the system's mechanical energy?

  A mass oscillates on the end of a spring, both o5um1 bt ht9irt*y5(ru n Earth and on the Moon. Where is the period the gry uut(rrt*t5 imb19h 5eatest?

  Increasing the spring constant k of a mass-and-spring system causes whjby9) l5vvo1 zd9 l ak5r;; 2dtrbbdt/at kind of change in the resonant frequency of the system? (Assume no change in the system's ma 9;b9) tlb/jv2dl yd1dar5 k5rozt;bvss m.)

  Increasing the mass M of a mass-and-spring system causes what kind of c+o7w(tm ( ifrvhange in the resonant frequency of tot+ w(rmfi( v7he system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a4j po )ambx38is0q1f v mass-and-spring system causes what kind of change in theo)s aj 48iq0fmx 1v3bp 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 weightless string of lengthoosd;i-*u sywai n.,9 f8 1xoh L. For thi;,suo9- h in.*awofx y1sdo8is system, when undergoing small oscillations

  When the mass of a simple pendulum9ban*8m 10tmu68nj:m;fm -wiokzng h gd4xh+ is tripled, the time required for one complete vibratio; 4kfn mdmw8u h+ian6og mh9-nm1gb8 :x0 *jtzn

  Both pendulum A and B are 3.0 m long. The period of Ak 72hwdgsbuu ,09fr(q,wnw m) is T. Pendulum A is twice as heavy as pendulum B. What is the pe97 uhgdw 2u), ksn( rw,0bmfwqriod of B?

  When the length of a simple pendulum is tripled, the time for onmin gye5lfa8/h75fr-nd8; fk.g 6puw e complete vibration increases by a factor o7nk. pr8 g 5a6y; feh8mfnfu/wg5-l idf

  What happens to a simple pendulum's s 6zyz e efy(kj*chz/4.(se: dfrequency if both its length and mass are increasezczs ek(6dh z(f4 j*yse/:. eyd?

  Simple pendulum A swings back and forth at twice the frequency of simple pendulut5x iu6,6 tyzam B. Which statement iy,xu5ta6i t z6s correct?

  If you take a given pendulum to the Moon, where the :pwu .rhz80(tt dhq;nacceleration of gravity is less than on Earth8(n0;qu rz dwp.:hhtt, the resonant frequency of the pendulum will

  Curve A in Fig. 11-1 represenpy6 t vp/m41gr)kg e8fa3w4po ts

  Curve B in Fig. 11-1 lous*by 2fgk.n4n9bt4 ls;, yrepresents

  Curve C in Fig. 11-1 8 r)o6aswr o be.()mbsq*o,r hrepresents

  For a forced vibration, the amplitude of vibratinqlp p59-qgt4(e1h t xon is found to depend on the

  In a wave, the maximumo8+dxatrp+irdv u ++an3h,r c01* gjn displacement of points of the wave from equilibrium is called the wadv1jrhnrcg oa+u+,d a+ 3 t*0+rixn8pve's

  The distance between successive crests on a 5b 6d2 ( qsrz1cfi8mp1y4fhl vwave is called the wave's

  The number of crests of a wave passing a point per unit time is calle+paqf2 0uk/th l8 gzeegpk+33 d the wave'+fakgpp38 g e/+hu3 ekq2lz t0s

  For a wave, the frequency ti( w7tcud wh..0olpeh2 mes the wavelength is the wave's

  The frequency of a wave increa rdlxcvxbycr*cml- jm0k651g (g lb6fv(1 6 ,wses. What happens to the distance between successive crests if the speed remains consta60( gl1 5x lrbmfvxdjv(bm-r ,kw*y61clgcc6nt?

  A wave moves on a string with wavelength l and frequenc /l e *kys3 bn88e-o-d4bussqcy f. A second wave on the same string has wavelength 2l and trau/o-bl ne8b*8sdk4s3sceq - yvels with the same velocity. What is the frequency of the second wave?

  Consider a traveling wave on a stri inugokr5w/1t//8 ms mng of length L, mass M, and tension T. A stand51 8gmms u/oi/w/rnkting wave is set up. Which of the following is true?

  A string of mass m and length L is undjzy/ hyg* e)d,er 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 *)/egz d,yhjy mass of the string is increased to 2m, with no change in length?

  A string of mass m and lw0p8 +( txvj.cfkc92mowot j/ength L is under tension T. The speed of a wave in the string is v. What will be the speed o(j8fmx2 .0 tc+c tvw9/kojpw 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. The speed ofvv buz-00sw t3 a wave in the string is v. What will be the speed of a wave in -zv bus300 vtwthe string if the tension is increased to 2T?

  In seismology, the S wave is a transverse wave. As an S wave travels through ta:v 4a nkoib7.en6mi o//z8sfhe Earth, the relatiksno /z8a 6b/v7eai: imfn. o4ve motion between the S wave and the particles is

  In seismology, the P wave is a longitudinal wa u-( /xjgxn,tfi)2k rmve. As a P wave travels through the Earth, the relative motion between tftg(rjmu)x/x-k , i 2nhe P wave and the particles is

  The intensity of a waveutr6dk55bo9( rs.l4baqjh ,1 if2 ulg is

  A wave pulse traveling to the right along 6bdgq3-h eg,iq5cb. x a thin cord reaches a discontinuity where the rope becomes,qi dbegh.xc6-g3qb 5 thicker and heavier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with ec*m;l:d0 -s iim/kp+f8 fnv giqual positive amplitudes 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 0g;m-8 fkipvmi* /l cd+:fisnsame region of space at the same time

  Two wave pulses pass each other on a string. The o2 h fm h9qck3.(kx0sjl0uqfx9zy4 g/ one traveling toward the right has a positive amplitude, wzxo9f/4 lj 0c2kf uq (qyh0xhgs9.3kmhile 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)r:-fzs((djqg -f4+w b9iw jfr+w r ka, occurs when

  If one doubles the tension in a violin stringcpsroc 1l (y, (;uwl/v, the fundamental frequency of that str( ll1w ypu(vsorc;,c/ing will increase by a factor of

  What is the spring constant of a spring that stretches 2.00 cm when a xs c, b ,+kh;i)bmvjm :fzmb;/mass of 0.600 kg is suspendesbz;cjm+ , mb hbf),kim;v:/xd from it?

  A mass is attached to a spring of spring constant 60 N/m along a horizontal, n9 yx xfuatpg2a/0c5d0)ej5r 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. Whaypad5j0uf029xt)re a x/cng 5t is the amplitude?

  A mass is attached to a spring of spring constant 60 N/m along a horizontal,5m9vxmg(s x4+;dx)8j uozg k ead4b9m ( zl+ej 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 period of oscillationk (x9z9 ;5md) m(l+8 +xas ejb4omgdjze4xguv ?

  A mass is attached to a spring of spring constant 60 N/m along a hori/ne2 lkwpo;x1j g, 7utzontal, frictionless surface. The spring is initially stretched by a fo,/g2w; pxojt1un l7ekrce 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 ar-cqqv tb2;+ goes through 10 complete oscillations in 5.0 s. What isa vc;2qrtq-b+ the period?

  A mass vibrates back and forth from the free end of an iw) : o q.ap/db5mf,uufdeal spring of spring constant 20 N/m with an amplitf)fwm:.oq b,du 5/uapude 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 spo6uc mqj6/ky0k:jzd 4ring of spring constant 20 N/m along a horizontal, frictionlesj/06kq:mkz4d6cujoy s 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. 36lilktki(( r6+cb b q The energy is 8.0 J at this time. The mass iski( q6b(6 3ctki+l rlb 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 attached to a spring of spv e,so7-- ljuvring 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 los,jvv-7e -uis the amplitude of vibration?

  A 0.50-kg mass is attac qf qj61g*fluy;-x8vphed to a spring of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a spe8l *uvj-q y61qx;ffpg ed 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 spr4zn s+ dtrc0 7q49mxijing 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 n4 jzm+ 4 t97scdxrq0ithis system?

  A 2.0-kg mass is attached to the end of a horizontal spring of spring constayjy(z -z76 llh6bjs6(zihne0nt 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the total mechanical energy of th b 7h6ezz6ly -h6y((n0 zjjilsis system?

  A mass vibrates back and forth from the free end of an ideal spring adfp66n5f ( w5.2nf4lapksmt of spring constant 20.0 N/m with an amplitude 6n kflt5 65fm2s (awnf pa4d.pof 0.250 m. What is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring system is displaced 10 cm from its equilibrium pchl/g vb: .lfcr0 .2yxosition and released. A frequency of 4.0 Hz is observed. What frequency would be observed if the mass had been displ/y 2hrvgf .:.0bccxllaced only 5.0 cm and then released?

  A 4.0-kg object is attached to a spring of spr7/e7- trt plibing constant 10 N/m. The object is displaced leip /7rttb7-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. The object m* y*;df 0m,hhhx:p+fuv ax5sis displaced bd0u,mx;x*vh +hs fhmf5a*:py y
5.1 cm from the equilibrium position and let go. What is the frequency of vibration?

  A 2.0-kg mass is hung frvhrh n. mnbt4,)gl8ulz3* ,obom a spring of spring constant 18 N/m, displaced slightly from its equilibrium position, a *.,z bnt3 mrlhng4uo bh8l,v)nd released. What is the frequency of its vibration?

  A mass is attached to a spring. l muo+0t p0otvl:l*k8b:d9ku*e yk2lIt oscillates at a frequency of 1.27 Hz when displaced a distance of 2.0 cm from equilibriumb:l:tk*pu0k9l2l0 doetm*lyv+ kuo8 and released. What is the maximum velocity attained by the mass?

  Two masses, A and B, are attached tart, 7gw c xp6q(3ly)to different springs. Mass A vibrates with amplitude of 8.0 cm at a frequency of 10 Hz and mass xtg7rc aq,w6 )ltyp(3B 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 equilibriiav4ly296y*u u henw/um the mass stretches the spring 2.0 cm downward. The mass is then pulled an additionavi/uu n*wehy l2ya694 l 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 massffq : a:40zjj2 jwb zaz2pqj7* stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and released from rest. Calculajzw2 2af7qpfa4j b q *:0jjzz:te the total energy of the system.

  A 0.30-kg mass is suspended on a spring.e)e ,z-st4ew c In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an ads-wt) ,eeze4c ditional 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 position versus *b srdemof,(tvm+0f .time equation 0memrs.dfv t( +,b*of:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the f9 tb 9wn /wrj d3p+.ux7fu(jwaollowing position versus time equ+x/jtu drfj wp939bw.wa ( 7unation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following position versusf4hj43e j /pei time equate 344eji hfj/pion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simpzmju )tmtw cx10k c.0:le harmonic motion according to the e0 k :z)mwutjmc1x .tc0quation $y = 0.50 \; \sin (18\pi \times t)$ 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 constantve)pbq; f mxwk6u7o)9 of 20.0 N/m oscillates on a hori; ) 6omxwp7vqe)bku 9fzontal, 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 swings in 8.0 s. (a) Wha+q4dzd-: /3a50dbpv4rx7w agtc fhc+l0am a it are its frequency and perio05vc c m:tr0d-qa +a4d3b/xl+gdwi zafa7 4phd on Earth?

  A 3.00-kg pendulum is 28.84 m long. What is its period onmqas3n 8i p30m Earth?

  A pendulum has a period of 2.0 s owvryj o ktfyo5: s5i2qyvr(; , j3hm/)n Earth. What is its length?

  The pendulum of a grandfather clock i24m .yf atup 3m2neg:ms 1.0 m long. What is its period on the Eart gtp4mmnfamu2e32:y . h?

  The pendulum of a grandfather clock is 1.cx. jci1h cv.,5: fhzb0 m long. What is its period on the Moon where the azvih c:x5.bf c1 c.h,jcceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attached t zp61(gtbrql;o a massless string. When the mass is displaced slightly from its equilibrium position and released, the pendulu1 tr6gp( lqz;bm 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 + 3 o-itsa,)wqd3esdtof a 20-g mass has initial angular displacement of it qd3a- e+,s3sd)o wt 8.0e. It oscillates 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 wav)k8zt0 j glp2se at a given time. The frequency of the wave is 120 Hz. What is the jslg zk02t)p 8amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequen95ziuvbh ) ,8b mjcab/i9 f1zicy of the wave is 120 Hz. What is ibjcz b98iz5, 9/hbfaivu1m)the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequenc2s0kp ssmyvl)7 bd-qq6jbc7m+ wn ,c9y of the wave is 120 Hz. What lk60qw),mc- smvq c pny792j d sb7bs+is the wave speed?

  What is the frequency of a wave which has 94mn tqhm 2mak+c- e/x1bpdxw+jvy 17 a period of 6.00 ms?

  What is the period of a ,, v+ lhbaj5v*d 1:nxq(jbvtm wave with a frequency of 1500 Hz?

  What is the wave speed if a wave has a fre8z c xnf(.x,nkquency of 12 Hz and a wavelength of 3.n(k cz. xfx,8n0 m?

  What is the velocity of a wave that has a wavelength of 3.0 mn7j (up0/w wxj and a frequency of 1/(uj w0 xw7npj2 Hz?

  What is the frequencbsebm gx1r 67lbwgx:dpvh,..d; z7 4 ty of a 2.5 m wave traveling at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is under a te,zw(up-i e7fuwyc: e - 4ac6ix+ :jcmnnsion of 1350 N. Whaz --( yi6+cw, wenup cca7: ime4juxf:t is the wave speed?

  A string of linear density 6.0 g/m io:pvu ktm1toz48ec(arm;e)* s under a tension of 180 N. What is the velopaz 4et1tu;r keoc)mv8*(m :o city of propagation of transverse waves along the string?

A wave whose wavelength is 0.5-v7xg5w tu9(gu qk s7r00 m is traveling down a 500 m long wire whose total massuwv-9t q k ugg7x(75rs 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 wamj- h)oj(8zndh)vb0a ysq-,mc 4lxi9ve on a 2.0-m long string fixed at both ends is 200 m/s. Which one jm) (c do yl-q9z a,4b0v)i hnmh8jxs-of the following is not a resonant frequency of this string?

  If a guitar string has a fundamentaliq lj)il(lt4 oo 7l4x7 frequency of 500 Hz, which one of the following frequencies can set oilq74(l7 lixjotl 4) the string into resonant vibration?

  A stretched string is observed to have f -j)e .m1nx hny:skqp7our equal segments in a standing wave driven at a frequency of 480 Hz. What driving frequency will set up a standing wave with five equ. m-j 17nhpk):exqsynal segments?

  A string, fixed at both ends, vibrates at a frequency of 1npgmwu.-rp g . 9y)4jx2 Hz with a standing transverse wave pattern containi9ppuxg.g.) ywj 4nrm-ng 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 N. Wii 8b,h;oyhq6jd*-fqmk c v4 )hat should its length be if its fundamental resonance 4 bkm8-*yj ohcdiq),6hiv;q ffrequency is 220 Hz?

  Find the first three harmonics of a /3,vvy d* xrkc3c3 d26 b8ix zthcekih1+gcz:string of linear mass density 2.00 g/m and length 0.600 m when it is suk rx/vhcyz3kec8h c,6:ddvxiti2 gc* b 313+zbjected to tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. When .fkq;9vei / tothe string vibrates at a frequency of 85 Hz, a standing wave with fif;i/q tok.9 evve 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.