The time for one cycle of a 1l w-8 wfr4:gxobgv 2nperiodic process is called the

  For a periodic process, the number of cycles per unit time is calles,bvzb2n 2)wywgadm 86ge5z/d the

  For vibrational motion, the maximum displacemtx0 t 3k,x319njta;yiy)aeonent from the equilibrium point is calle,nan t1e9yt3yaxi0tj o3;x)kd the

  A mass on a spring undergoes SHM. When the mass is a.n + kldwzzc,elh he2-q2 r89rt its maximum displacement from equilibrium, its instantaneous ve h.+ehzqrnl 8c ,dlk9w-2 rz2elocity

  A mass on a spring undergoes SHM. When the mass passes 6qqzk+uhu zej-l; 2isw2e 42z through the equilibrium position, itsqsq2 +ju; 2 6ze4uhw eli-z2zk instantaneous velocity

  A mass on a spring undergoes SHM. When the mass is at maximum displacemenw :njk,0y2di*wtl:vk t from equilibrium, i kwy 2vij ,:d0*l:wtnkts instantaneous acceleration

  A mass is attached to a vertical spring and bobs up and down bet++z ;xtfwrka6 ween points A and B. Where is the mass located a+;zt 6f rwx+kwhen its kinetic energy is a minimum?

  A mass is attached to a vertical spring and bobyi2y7 n -+ajlj8l 2zba czp-vu,(f+lws up and down between points A and B. Where is thaz+l7lja ,2pu-v+yz ljb( c-8fy 2 wnie mass located when its kinetic energy is a maximum?

  A mass is attached to a vertical spr uy7v ,1q1+pojg dc*ne pto;w:ing and bobs up and down between points A and B. Where is the mass located when its gjpw: ocvden ;yt p*q1u7o 1,+potential energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down dnmhtf 2p- (w;dlc 93kbetween points A and B. Where is the mass located when its potential energy is a maxi 3hfdpdtn-c(;w9lm 2k mum?

  Doubling only the amplitude of a vibrating mass-and-spring)+ eszlwwvm3o,do; j4 system produces what effect on the system's mej)wz4l ;wmd+vo,o 3s echanical energy?

  Doubling only the mass of a vibrating mass-and-ti +a blct1o.4vfy +4pu8 xl9ispring system produces what effect on the system's mechanical enerfi.lxub84ci 41+pavtol9y+t gy?

  Doubling only the spring constant of a vibrating mass-and-spriie -hv;+k4u xxb4dw ,hng system produces what effect on the sybukh,x id4-;4wx e h+vstem's mechanical energy?

  A mass oscillates on the end of a spring, both on Earth and on the Moon. g 0u./qk mnbz -syuw 5t)b5wi1 Where is wwqu.i u gy/)sz0n 1-m5tb5bkthe period the greatest?

  Increasing the spring constaqkg* js tdxk:0fn/il ,*e*;q qnt k of a mass-and-spring system causes what kind of change in the resonant frequeni:n;,e* kk*s0 lxqtf qj/d*gqcy of the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-andrwu,sa ex+5q/o5yyir y (w::g-spring system causes what kind of change in the resonant frequency of the:/gyu(i a: ery5osw+qx,wy5 r system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system causes what kindrm1 9e9e9q;elrpeqstpuc 71tlm0g q0y936jc of change in the resonant frequency of the syst g;q3 l mt099utrq c107cle 9smeye6r9 p1peqjem? (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 stri.0w ;ee nvzx r;4c9dn 8 jftxe2ig;-ibng of length Le2e4 it 8w; n.9gcijvxnf-0zx b ;;rde. For this system, when undergoing small oscillations

  When the mass of a simple pendulum is tripled, the times xbw(v.+zko ir 73tg7ggifl/ ph+e:+ required for one complete vibration+ov sgw p/. (7g+i:+3k erlxizb7tghf

  Both pendulum A and B are 3.0 m long. The m /-ufhvvmg/sq) rp5y2bx g(6 period of A is T. Pendulum A is twice as he(xm/2 vfb-ygr/ v)6hgsp q5umavy as pendulum B. What is the period of B?

  When the length of a simple pendulum is tripled, the time for one complete vx0z hbe5w,l, pibration increases l b0h,ep5xw,zby a factor of

  What happens to a simple pendulum's frequency if both its length and mass are in-pfk /k2mv(g j d2se6xlbl)1j 1b el m ) vjls-d2xf26(kgjp/kcreased?

  Simple pendulum A swings back anrmi )grf9l1 (hf3f6 vzd forth at twice the frequency of simple pendulum B. Which statement is co(6rzr1h 3ivfl f mg9f)rrect?

  If you take a given pendulum to the Moon, where the accel)ii 1 u i cag,0v+k0nxauls-.fc+ t7gleration of gravity is less than on Earth, the resonant frequency of the pendulumaua)+ftc.vxcgs7ul g l0ii i,nk+10- will

  Curve A in Fig. 11-1 representq db8bwi+j::7ed d -vis

  Curve B in Fig. 11-1 repgq4h vbw srdpctm42g/b:-6 +x resents

  Curve C in Fig. 11-1 represe tb6+2jhkd iaco -x1m:nts

  For a forced vibration, the amplitude of vibration is found to dt+2fl.rv 9 xglav+;4sg8 mzdgepend on the

  In a wave, the maximum displacement ofni j mt3w01+4hq id.zr points of the wave from equilibrium is called the +qtd irh0ij 13mn4z w.wave's

  The distance between successive crests on a wave egil m71s u9;mis called the wave's

  The number of crests o3 ,dzr +)nglqr; 2;nj9i1zynylefj(gf a wave passing a point per unit time is called the wave's+ qnzr nlgy19;)z,jl2iyd3j;re( gn f

  For a wave, the freq-3 d ,xwh2iq5w-f zzuluency times the wavelength is the wave's

  The frequency of a wave increases. What happen5p(wd ,onfaly081qnd s to the distance between successive crests if the speed remains c8 p(oln d wqy0,na1fd5onstant?

  A wave moves on a string with w3v:4yk f lhed nxdd(8h-.9 xapavelength l and frequency f. A second wave on the same string has wavelength dfd3h4x.-n ( 9 hly :kdv8xape2l and travels with the same velocity. What is the frequency of the second wave?

  Consider a traveling wave on a string oexe r4k ijds 1p04,q(if length L, mass M, and tension T. A standing wave is set up. Wrd(x,eip4e140 s ijqkhich of the following is true?

  A string of mass m ansr*6cbzruzeqv o3mwr( +28bmc 1e20bd length L is under tension T. The speed of a wave in the string is v. What will bvuz3(qecr ebrmc1 6w2*bzbsro+08m 2e 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 wave*kj9;zk hi/l,yrm( hd 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 change in mas(;/jik* hkyhz9l r md,s?

  A string of mass m and length L is under tension Th4.86wh4sacs kz xz+ qe(yqe0. The speed of a wave in the string is v. What will be the speed of a wave in the string if the tension ise44q6(08 x+zh.e hsw syzqa ck increased to 2T?

  In seismology, the S wave is a transverse wave. As an S wave travels throughj7qz pju4 59lq the Earth, the relative motion between the S wave and the particlezql q7pju j495s is

  In seismology, the P wave is a longitudinal wavehh* a nzkk0kwu:ln 7uh8/n.)r. As a P wave travels through the Earth, the relative motion between the P wh l.u:r z7n*ha0kuk/n khnw 8)ave and the particles is

  The intensity of a wave i va4 )wfbzhx25vip+ r0s

  A wave pulse traveling to the right along a thin cord reaches a disconcb s4a 1s)k (:auuv88cwcc7mvtinuity where the rope becomes thicker and heavier. What is the orientation of thek cs8ac7 uumb sa84)(ccvw: v1 reflected and transmitted pulses?

  Two wave pulses with equal positiv+f6-.yage r nq.,cd yv p9;jkle amplitudes pass each other on a string, one is traveling toward the right and the othe,f9;c. ayenkqpv gyr 6l+d-j .r toward the left. At the point that they occupy the same region of space at the same time

  Two wave pulses pass each other on a string. The one travelinqngiymn 9+7u1tyy rh 12y51qpg toward the right has a positive amplitudeyhiq g1q ynu1 9m t+75yyn12pr, 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,3bc tem4j5 q7qx0mlo *7:5 hlzyyac4r occurs when

  If one doubles the tension in a vi)ai/:+kdg pgi wr6rj7 olin string, the fundamental frequency of that string will inc7k: gr)djirpwi 6+ga /rease by a factor of

  What is the spring constant of a spring tha/l( d8qu:pka z,o5 hjr cow8x0t6w0cnt stretches 2.00 cm when a mass of 0.600 kg is suspendexo0otq(l w /6 ccjp8nh 8:w u,5rdz0kad from it?

  A mass is attached to a spring u1jo98r phi 4 ne8wmt2b(kz0a of 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 lbwpn2ijkz094( o 8eamhtu18ret 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 u pcockrt *sl zpfr.p/:p/,, 1spring of 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 :s/rprp 1f zu ctpc,,o.l*pk /when it is oscillating. What is the period of oscillation?

  A mass is attached to a spring of spring constant 60 Nsfg2(obhut8s9 t 4t )c/m along a horizontal, frictionless surface. The spring is initially stretched by a forc(htgc29fs 8t st)o4ube 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 t,a 6qr1a3glou64u hkoscillations in 5.0 s. What is the p1arh k6 , golq64ua3uteriod?

  A mass vibrates back and forth from the free end of an q(iar-bu8y 36 *zqe rczcx 2h5ideal spring of spring constant 20 N/m with an amplitude of 0.30 m. What is the kinetic energy of this vibrating mass w zrr6 b*ch38e(c5qi2z - qxyuahen it is 0.30 m from its equilibrium position?

  A 0.50-kg mass is attached to a spring of spring consta3z,y1sw8pd zl1;skcegvd 2 y)nt 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 is the total energy of th l;zzes3c11ps y2v k )d,w8dyge system?

  A mass undergoes SHM wi 7i-eugt)mmt i.;6cvxth amplitude of 4 cm. The energy is 8.0 J at this time. The mass is cut in half, and the system is again st;x gim7)umcv -6.t ieet 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/ov o/ +;z5shgwb rwq) along a horizontal, frictionless surface. Theso;z/rwo h5+qw)b vg / 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 conswd e, j: 7n l)j8ngwc jz,c0ub,9muru1tant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion :w,)jm,79lr1bcwgnnj d8uj uc0u, zeand 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 attached to the end of a horiz5+ g97 n0l fptfamlf7q jmx 4zdy(s()fontal spring of spring constant 50 N/m and set into simple harmonic motion with 97 dt)x( q s4yn mfjzp gal5f0m(+7lffan amplitude of 0.10 m. What is the total mechanical energy of this system?

  A 2.0-kg mass is attached to the end of a horizontal spring of sprin( y9,6 dcpihimg constant 50 N/m and set into simple harmonic motion with an ampliti(9m6p ic d,hyude of 0.10 m. What is the total mechanical energy of this system?

  A mass vibrates back and forth from the free end of an idead ch 72z:eolsc +5mn4jj oj(3xl spring of spring constant 20.0 N/m with an amplitude of 0.25027njsxj5 zclme :h c 4d3jo(o+ 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 e emsnz qe737nfv; 11ldquilibrium position and released. A frequency of 4.0 Hz is observed. 73ls fd1;m7zvq 1 neenWhat 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 sppcnc 0gt dnl +u-o3wpm6m; u:(ring of spring constant 10 N/m. The object is displaced bygc3cw0-p l:u+ pmntmd(on 6;u
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. Th7cbvbi ahq syq76 :cb.9 df(,xe object is dixcqay.f h , 6 v9cbsd7(b7:bqisplaced 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 slig3 huiz9m hg,f,htlyfz9,m,igu 3h h from its equilibrium position, and released. What is the frequency of its vibration?

  A mass is attached to a s7 78aq8g ach;ldfoia 5pring. It oscillates at a frequency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. Wha8a dqa;lo8 hcg75 iaf7t is the maximum velocity attained by the mass?

  Two masses, A and B, are attached g1j. gned p g2z0;k4bjto different springs. 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 compare g2zb4npje1;kd0. g gjto the maximum speed of B?

  A 0.30-kg mass is suspended on a springugdp-ajv ot-hdd:s0kg a .r q.+k; n47. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distancen h.rda4-+q7s0kjk:g-;. a tpdodgvu 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 mass stretchesrlzkt/068bht. jv3f z the spring 2.0 cm downward. The mass is then pulled an additional disjkf 8zzh/tb t3 l.v60rtance of 1.0 cm down and released from rest. Calculate the total energy of the system.

  A 0.30-kg mass is suspendeso:sbtwx9i3pr1 02z6 z-necq d 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 down and released f s31p 02st6io :qnb-rwz9xcze rom rest. Write down its equation of motion.

  An object in simple harmonic motion obeys the follo8.v ellqm8: bswing position versus time equati q8 blm.v:s8leon:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion17hhgx-x w*hqq0r +xt obeys the following position versus time equat0xqx h+g hq17r*th-w xion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys ty5+:rfqyvm5mnn -k-w9skx a7he following position versus time equa -m9mv ny 5-xyfaw5+7q:rnk kstion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a nd 5wtxm 08ygp.fbu *,fou:0.pgl4y k spring executes simple harmonic motion according0ywx,gf..o0pkdmb ygu* f ut 8 54n:lp 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 x2 4j 3yc9x3x79xritdbfd gw*to spring with a force constant of 20.0 N/m oscillates on a horizontal, frictionless track. At t=g*wj b49xx i9x32 3ydc rdx7ft 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 a -evgdy/8kk :xnd period o 8kvyxkde /:-gn Earth?

  A 3.00-kg pendulum is 28.84 m long. What is its peri bv:mpv4/hj)jt:- -zvwe6 jfjod on Earth?

  A pendulum has a period of 2.02--e* .x)f1 iwq8svknqovh qv s on Earth. What is its length?

  The pendulum of a gra,vxmj-1px 5 zvndfather clock is 1.0 m long. What is its period on the Ear,xj z5mv1p-v xth?

  The pendulum of a grandfather clock is 1.0 m long. What is its persh2t e*e)bh7l /l/sdxiod on the Moon e*he)2ld7 hls/xts/b where the acceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attn1wm+pyh+)cy(lb 6nu w3 my:uached 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. 36:m+cn( pyy+b h)1muynuwl w 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 mass2 fk)h :sdcgh5 has initial angular displacement of 8.0e. It oscid :g)f 2hsh5ckllates 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 g)r3jw: xl8d lohg2 4nsiven time. The frequency of the wave is 120 :gjr8n)wx23s 4l lhdoHz. What is the amplitude?

  Figure 11-2 is a "snapshonz;7 7)fn: ccni tyu b.;/ztq7r uwoo;t" of a wave at a given time. The frequency of the wave is 120 Hz. What is the waveler7n7 )zntqfiu7w; ycn c ztou; b:o;/.ngth?

  Figure 11-2 is a "snapsh v8oytgtzp*e ,cs6cc -jwf76k r3 v3r;ot" of a wave at a given time. The frequency of the wave is 120 Hz. What is the wavst 6yevv krjwcr 8cc;z63p3t- 7f*og ,e speed?

  What is the frequency of a wbpb iv32 6g lftov:bmtb +526hqm- l.yave which has a period of 6.00 ms?

  What is the period of a w.d,ro 8eecv) 9dlq xr6ave with a frequency of 1500 Hz?

  What is the wave speed if a wave has attfy (6 lf)urd6e-yd+ frequency of 12 Hz and a wavelength of 3.6- ty) fl(6tdyf+ru ed0 m?

  What is the velocity of a wave that has a wavelengthkt5lhz)u 35yay 2v r.g5t zw7f of 3.0 m and a frequency of g h t2yz7kvyt3 5rz)5.uwf a5l12 Hz?

  What is the frequence*bq2g415 dp kulu-au y of a 2.5 m wave traveling at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is und4rq/ud8uim 6 z.d 58sb)glr sser a tension of 1350 N. Wh) disrqb msz/ urdug8ls64.85at is the wave speed?

  A string of linear dg/8nr,-br8d dff - ghyz;el) 9vcp qb0ensity 6.0 g/m is under a tension of 180 N. What is the velocity ofl 8vd/,fdg -b-8byreczr n;) fh09 pqg propagation of transverse waves along the string?

A wave whose wavelength is 0.500 m is traveling down a 500 m lonu eede8ms6g av1m5 v(y(j4yb8 g wire whose total my48m8e (d1m5easv e6 uyb (jvgass 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 propagationd0b*dn0ibm / zkl4+tk;ub ad,+w loy- of 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 fre4abkd0mi+wyl b 0d kn-;o+* / b,zdltuquency of this string?

  If a guitar string has a fundamental frequency of 500 Hz, which one of 6bobpbs8 k*; rthe following frequencieb6;8 b*rpbsko s can set the string into resonant vibration?

  A stretched string is obserb7llj)s.l p7 wved to have four equal segments in a standing wave driven at a frequency of 480 Hz. What driving frequency will set up a bllsw)77j. lpstanding wave with five equal segments?

  A string, fixed at both ends, vibrates at a f o,w1,rmwm suja2b,z, requency of 12 Hz with a standing transverse wave pattern conta,wbso,2w,r zm a1 uj,mining 3 loops. What frequency is needed if the standing wave pattern is to contain 4 loops?

  A string of linear density 1.5 g,p h06 tbomh49mf8hop/m is under a tension of 20 N. What should its length be if its fundamental resonance momb8t p06h9o 4h fh,pfrequency is 220 Hz?

  Find the first three harmonics of a string of linear mass density 2.00 g/m and l-c5d ( ougroh632erolength 0.600 m when it is subjected to ten l2o5r6 -gcuh droeo(3sion of 50.0 N.

A string of length 2.5 m is fixed at both ends. When the string vibrate9i/fj gc sxy6bg;bh++c9que; s at a frequency of j/9q fbu +gc;+sx6be cyhi;g 985 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.