The time for one cycle of a periom)slz q, 7,ivudic process is called the

  For a periodic process, the number of cycles per unit time is called the8k/ nlr,i +o8h/sofxl/ ndanrn m3z5 )

  For vibrational motion, the maximum displacement from the exh vt:/ly(5ec kt+7naquilibrium point is caln/k t he+vl:5xct7( yaled the

  A mass on a spring undergocx- ++/e. mcsbzjc)o xes SHM. When the mass is at its maximum displacement from equil-cmx /o.sc)+zcj+ b xeibrium, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass passes through thf-mu 1 urfeo-obb f7.jx7g70 qe equilibrium position, its instanu1f--bfmfj r7o0g oe .7bxqu7taneous velocity

  A mass on a spring undergoes SHM. When the mass is at maximum tue( /gx(h5qy6o8h kk displacement from equil (hq(y eo5 tku6h/kx8gibrium, its instantaneous acceleration

  A mass is attached to a vertical spring and bobs up and down between points A +9l*485tsq-*x iwg eaknvxyec) qi p.and B. Where is the mass located when its kinetic energy iv. qg*5 iy-9 48pwcqestli *x+axk en)s a minimum?

  A mass is attached to a vertical spring and bobs up and down between points)5,y w wvmna/t h,0b(jucxmo8 A and B. Where is the mass located when ivx mw(uo whb0tm,ya5,j8/c n)ts kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up and down betkw vodu: qb t0 .qj7;2m8mhdts86dj3sween points A and B. Where is the mass2:dt8s;qqbw6u mm k. v78hojdtsd 3j0 located when its potential energy is a minimum?

  A mass is attached to a slbpa1ils h+l)99 x(vvertical spring and bobs up and down between points A and B. Where is the b+lxssi(pl)9 1v9ah lmass located when its potential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-spring systng/y9-c 2m b1o mq;wpfem produces what effect on the system's mechaniccbpgn;mq f1-w /m2yo9al energy?

  Doubling only the mass of a vibrating mass-and-spring system proeqaa .4/x yyi;duces what effect on the system's mechanical energy aqeya4.xi;y /?

  Doubling only the spring constant of a vibrating mass-and-spring )zet21lxncsv651h b vh ( o1btyyk1+t system producesy2 k ey1tztnb x1vvt1hh 6l)1(bo5c+s what effect on the system's mechanical energy?

  A mass oscillates on the end of a sprinv +kb ;csss5b)ne 2yqid. v.x;bhe8y6g, both on Earth and on the Moon. Where is the period yvbqb i.2sd; sc+68;he b ns y)ek.v5xthe greatest?

  Increasing the spring constant k of a mass-and-spring system cabf5pxq7rk:a,yh;v -r uses what kind of change in the resonant frequencykrv:7 p h ;r-bxa,yqf5 of the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-a 6iuudhv0 9lh;*cf/ed nd-spring system causes what kind of change in the resonant frequency of the system? (A 90dcvh;f*iue6 u/dhlssume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-:nkbh7wz5 tx5spring system causes what kind of change in the resonant frequency of the system? (Assumet5 n hkw5bz:7x 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 attachedtvp ,j-v*+lsv to a weightless string of length L. For this system, when undergoing small oscil*+vt-vslj,p vlations

  When the mass of a simple pendulum ig y:k;f whf 2.gzzt-g*s tripled, the time required for one complete 2thf;wz:-gg*zygk f.vibration

  Both pendulum A and B are 3.0 m long. The period of A is Tocr + gi7csw,u/1)e oc. Pendulum A is twice as heavy as pendulum B. What isi1c)ce g7osw,u /o+ rc the period of B?

  When the length of a /svsb)0 ;-x7+ps dw/gqyqja vsimple pendulum is tripled, the time for one complete vibration increasad x;//q+s ssjp-w gy0v7b v)qes by a factor of

  What happens to a simple pendulum's frequency if both)d8g ucra bz2*93rqqr its length and mass are incba 9g)r3 d2 cq8qru*rzreased?

  Simple pendulum A swings back and forth at twice the frequency of simple pend(4st+zk 4:rjhf +:dtfh yi p*14rgrjo55 pdk pulum Bj t5z*d1h:5fdpk4i tfsh+p4yg p okr4r (+:rj. Which statement is correct?

  If you take a given pendulum to the Moon, where the ac2j 2m w5rmg.kiype*r93jxmb y l:q n5)celeration of gravity is less than on Earth, 93q l.jimmnexy)r2pm ky 5w*j g5r2b:the resonant frequency of the pendulum will

  Curve A in Fig. 11-1 represents kvp1n;*j 5g g 48pcfex

  Curve B in Fig. 11-1 representc(r7enk l9n5un:n1 og4+q mizs

  Curve C in Fig. 11-1 represents33eg)po-z ,irgt 7fms

  For a forced vibration, the amplitude of vibration is found to depenm ih) 1a4pix)jd on the

  In a wave, the maximum displacement of points of the wave from ew-: h)brtc2ysj5 y/ nijdnv(8quilibrium is callj:n8i ) r5djhy2n - cw(/tvsybed the wave's

  The distance between successive crests on a wave m+dx 3/ 1ustqwn,ttdw- )x ll1is called the wave's

  The number of crests-cyer;+4uhb f of a wave passing a point per unit time is called the wave'fuh;-e+b y cr4s

  For a wave, the frequency times the wavelength is the w9(oud 5ip .xh1s1f6 fpts4b naave's

  The frequency of a wave increaszyn 0k3j9a- fqtyehog19,o p)es. What happens to the distance between successive crefjp,t3k9 0 enyo)a9g q-yzoh1sts if the speed remains constant?

  A wave moves on a string with wavelength l and frequency f. A second wave onlqij+cmy +ch r:48-v o the same string has wavelength 2l and travel4r +lymqv8o: hicc- j+s with the same velocity. What is the frequency of the second wave?

  Consider a traveling wave on a string of length L, mass M, and tension T. yrmg pzf043+2ja(msl A standing wave is set up. Whicyg j34+ sarf0p l2z(mmh of the following is true?

  A string of mass m and length L is under tension T. The spee*u t4, fdqke a;t1 ,0twz0srpnd of a wave in the string is v. dtu0 k,a ,*p4zqws ;tn1 tr0feWhat will 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 L is under tension T. The speed of a 2t 43t 7foa 4jf+rxtarwave in the string is v. What will be the speed of a wave in the string i3to t+4t2fx7a 4jrarff the length is increased to 2L, with no change in mass?

  A string of mass m and length L is brfuvnzutb12u/ ,,eeis7 m9.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 tension is increased to 2Tmeu nev.u,7ztfb12r9bsi u, / ?

  In seismology, the S wave is a traxse :e2ec+pw i0 my7zlj o*pw*r ;e0b5nsverse wave. As an S wave travels through the Earth, the rela0 psle;0eoc 7i 5+me*:py x*wrwjb e2ztive motion between the S wave and the particles is

  In seismology, the P wave is a longitudinal wave. As a P wave trava2 vso 3s9*6uiaamp; xels through the Earth, the rela3a s6x9 2aospami v;u*tive motion between the P wave and the particles is

  The intensity of a wave i )xeaket63: ,xji(pbxs

  A wave pulse traveling to the right along a thin cord reaches a discontinbi9q:k /k0oecc;(a ycuity where the rope becomes thicker and heavier. What is o ck/ak(:cibcq 90y; ethe orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudess:2 w*z5vzl okehm8y0 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 of space at the same ti2z8 5kel0*svom h z:wyme

  Two wave pulses pass each other on a string. The one traveling toward the ct 4-okmtj:f9 right has a positive amplitf :9tjt kco-4mude, 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 st9 +g vyqfbcdtit)4g 2-ring fixed at both ends, occurs when

  If one doubles the tensio3h.shdnev.y9 5s3b ;o 5r 34ditmhafzn in a violin string, the fundamental frequency of that string will increase by a zvasi9fd ts 3o ;md5 hhn.. ehyb5r334factor of

  What is the spring constant of a spring that stretches 2.00 cm when a mass om.,l0b ms2.fz 2dxd8lv,yn0 yr )lutrf 0.600 kg is suspended from ix0,y, b)r2d8rlmd u. z2 y.mvs0ntl flt?

  A mass is attached to a spring of spring constant 60 Nlay. uwy30 ls//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 bac .3 yuw/sal0lyk to its equilibrium position when it is oscillating. What is the amplitude?

  A mass is attached to a spring of spring constant 60 Nfiv5z62ot r1 z/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 the period of oscillatzfv6o 2r5z1 ition?

  A mass is attached to a spring of spring constant 60 N/m along a horizont1sof.,a2 kdboal, 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 .abks1 o2 fo,dis the frequency of oscillation?

  A mass on a spring undergoes SHM. It goes through 10mda)k3tuka * 5 complete oscillations in 5.0 s. What i dtamku*) 3a5ks the period?

  A mass vibrates back and forth from (x*mao(o 4 ;cqs/0c ks1rihcpthe free end of an ideal spring of spring constant 20 N/m with an amplitude of 0.30 m. What i o4 /mq(;hsrckos*ixcp c1(a0s the kinetic energy of this vibrating mass when it is 0.30 m from its equilibrium position?

  A 0.50-kg mass is attached tgbzk7vh43dq-e11 u-k il4 d5gn:f,y s t4wyr ho a spring of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmou5r4hh:b-ktq1dzdfg,wv4g lk 1iny7s y 3 -e4 nic 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 4ny( t l0tc-(gc cm. The energy is 8.0 J at this time. The mass is cut in half, and the syst(0ttnclyg(c -em 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 spyt( k(4syewv 0ring constant 20 N/m along a horizontal, frictionless surface. The object oscillate(svywy4 (0tk es 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 hhf,;d(mzt0 k horizontal, 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 energy and the potential energy th (kdhh zt;,0fme same?

  A 2.0-kg mass is attached to the end of z yzaty( 43vzt):/jvn s2ucp5a horizontal spring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the totaz)(a vyzcv/jzu3y42tt5: pn sl mechanical energy of this system?

  A 2.0-kg mass is attached to the end of a horizontal spring of spring const y0e1eswx ,:ujszl3savat++t, p. d/ tant 50 N/m and set into simple harmon1p, e+.e/tt3da l ysa,+xsuvz j0ws: tic motion with an amplitude of 0.10 m. What is the total mechanical energy of this system?

  A mass vibrates back and forth from ta erf7o7h v-m5j.bsd 1he free end of an ideal spring of spring constant 20.0 N/m with an amplitude of 0.250 m. What is theb15 m vrah-77e.fdsjo maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring system is displaced 10 cm from its q 9mxzq :n 139nu) ; dru4wh.ef;uzpl-udxj -xequilibrium position and released. A frequency of 4.0 Hz is obs9 uxh; 9m )xzpu3q;xdd-f1 ru4z ejl-w:.nunqerved. What frequency would be observed if the mass had been displaced only 5.0 cm and then released?

  A 4.0-kg object is attached to a spring o, tfmz5s6faub-/a52 7m ge+ qxzsue6df spring constant 10 N/m. The object is displace5qd/xsf amut zu26m,ezs 7fea6+- b5gd 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 sprinus-f lze/4 hn;g constant 10 N/m. The object is dispusn/;zh4 el-f laced 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 te. srd sl/5;/9/gr bqte7 vboof spring constant 18 N/m, displaced slightly from its equilibrium position, and released. What is the frequency of its vibration?grd ; e/ot5q.sse 9/lt/7vbbr

  A mass is attached to a spring. It oscill a. t8hsesfv3u+3pdx sd-7n.bkb-fr 1ates at a frequency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. Whatbpe1n -xfh8 3 b7rfd+ua.ssts vk3.d- is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to different spri9 4pbcrhpb( )* k,xwjdg r,bk: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 cm at a frequency of 16 Hz. How does the maximum speed of A c(*r4,r:g kkxb) h p,bcwjdbp9ompare to the maximum speed of B?

  A 0.30-kg mass is suspended on a spring. In equilibrium th6 2u:r l3g+ +:wdewfgtlk 2psse 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. Ca:ssr:l3el6tkp22+dg gfwu +wlculate the period of oscillation.

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass stretci :k ujlvkdb+g,3zstq,cgomd* (yu59,dq+g5hes 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 total energy of the syik 5+ dq,95vm ,:l3btgc+g*s (uyd zgjd,kquostem.

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass stg6t)s xaa cer2x0/ jq8retches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and released from rest. Write down it0axr8at2 xg/j s)cq6e s equation of motion.

  An object in simple harmonic motion obeys the following positionj5hx y u db pt:u91tof5iaxoi 31sai5sa-4 7t9 versus time equation:7os ja5d:5soiy3f4a 1ixu tub9h t5 -9p1a xti
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following positiusy+0 4fbd9sgcr3ng 1on versus time equation:b 1g +40rcd3gs9nsyuf
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following positihekz7mb e *x/vcu*k;;8v-d fkon versus time equ b8 *zukv k -ve;f/c*;meh7kdxation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end n.gp o-yynhs:)sa 03e of a spring executes simple harmonic motion according to the equatioo y0ephs -)ysgn .n3a:n $y = 0.50 \; \sin (18\pi \times t)$ where y is in meters and t is seconds. What is the period of vibration?

A 1.5-kg mass attached to spnx6ac a e1z+h)ring with a force constant of 20.0 N/m oscillates on a horizontal, frict+c16axzh n)aeionless 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) What are its frequency an5ee;af ihc +i(d period onhec+e ;i(fi a5 Earth?

  A 3.00-kg pendulum is 28.84 m long. What is its period on Earth?0vnh:ey+w5pry z q 9.t

  A pendulum has a period of 2.0 s on Earth. oh-7edta)5o oWhat is its length?

  The pendulum of a grandfather clock is 1.0 m long. What is its periodw4js 2t.7 5enpgpd1cc+bhq a; on the Earthqew ;sp 2bd+.cch g45j 17tanp?

  The pendulum of a grandfather clock is 1.0 m long. What is its period o qe/kmx(n )r:qn the Moon where the acceleration due to gravity is only ( ):remxqq/kn $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg zyx3vy.:z. irspherical mass attached to a massless string. When the mass 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 tyyiz3..z :xv rhe string instead?

A simple pendulum consisting of a 20-g mass has inl j8j0(5(cuhncn bwr7itial angular displacement of 8.0e. It oscillates with a period of 3.00hwcl 0 r ((j5cu7bj8nn 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 u phr2k e,z5ws,hy56p*xn(dw a wave at a given time. The frequency of the wave is 120 Hz. What iu*pwkd(62 wzpn5sy5, r ,e hhxs the amplitude?

  Figure 11-2 is a "snapshot" of a wa ftr um wa.p7p1v+/1u ogaza3 m08(mrnve at a given time. The frequency of the wave is 120 Hz. What is the wavelength?g 1um1ar(vo/a 83ft.numz 7 0 mapwp+r

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency of the *fo kb )wg8xx;.x;47rr xgohxwave is 1 ggxbfxxxoo.78 ;;w*rhx4k)r 20 Hz. What is the wave speed?

  What is the frequency of a wave which has aa7ft ;x 1+cu-fxlvca 1 period of 6.00 ms?

  What is the period of a wave with a frequen6z xu2jpt) fi*kl;g6 ccy of 1500 Hz?

  What is the wave speed if a wave r+/shsr8wlr l r9;kz7 has a frequency of 12 Hz and a wavelength of 3.0 m?+wslrh r9 l8 ;kz7rs/r

  What is the velocity of a wave thjr rkzdjt0x1 2g)y9/r)cmqtv+k c6 *zat has a wavelength of 3.0 m and a frequency of 12 kdt)jzgqr c1 2*mkx9+ /y 0tvzrj6rc) Hz?

  What is the frequency of a 2.5 mp; 5wsklho 6 9mdi8dyba0hl*4s gn4 )q wave traveling at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is under a tension of 1350j 7,xs7oerm 7z N. What is the wave speed?zs, jro7mex7 7

  A string of linear density 6.0 g/m is under a tension f:j 0p92j7pzf8q+ g affaj*rcmx+ 9m xof 180 N. What is the velocity of propagation of transverse waves along the strxpg+07zff jj8rfx9qj ma+* mafc2 9p:ing?

A wave whose wavelength is 0.500 m is traveling down a 500 m long wire whos0vvh83 v. hx4s;y f gg992iaucphfmx7e total 9 3hhx7xghsfumvpivy49c0 2gfa; v8 .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 transversvnt4k7dr skb-wu uw2eee38tf rd/ *7 :e wave on a 2.0-m long string fixed at both ends is 200 ne kk7vt/7ww38 f ebr ut2e4usd-:r*dm/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, mn;v0j /oh8q ewhich one of the following frequencies can set the string inemv/noj 80 ;hqto resonant vibration?

  A stretched string is observed to have four equal semim3.yu ,a 9hrz,.ebfgments in a standing wave driven a. .3ef,miz ury9,bh mat a frequency of 480 Hz. What driving frequency will set up a standing wave with five equal segments?

  A string, fixed at both ends, vibratey(cxijzxio/ ,1e3j+ fs at a frequency of 12 Hz with a standing transvec+efjx, / xoz(i1j 3iyrse wave pattern 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 N. What sef fjz; sdf4nbt43 /pv/2t67u7xoqv ahould its l7 t2fu/ vpfqb7 sjonx4e3/d z4 av6ft;ength be if its fundamental resonance frequency is 220 Hz?

  Find the first three harmonics of a string of linear mg9aep -1mp u+vass density 2.00 g/m and length 0.600 m when upg am +-ev19pit is subjected to tension of 50.0 N.

A string of length 2.5 zf z64hcb2oe9m is fixed at both ends. When the string vibrates at a frequency ob96h4zo cfze2f 85 Hz, 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.