The time for one cycle of a periodic process is called pzt( ujlwl(,ke 9ht;6the

  For a periodic process,65enq rk t gl)u)tg/5h the number of cycles per unit time is called the

  For vibrational motion, the maxi l3utgq,8:jcdag8hg+ mum displacement from the equilibrium point is calleh u dggtaj8l8c3,+:qgd the

  A mass on a spring undergoes SHM. When piqyz r+;quqb0g *584l-sygan 8 a.qr the mass is at its maximum displacement q *n- gua bry5szq;q.gl4p08+iq8aryfrom equilibrium, its instantaneous velocity

  A mass on a spring undergoes SHM. Wheemcxh h9r0- k6n the mass passes through the equilibrium por 0c9 hm6x-khesition, its instantaneous velocity

  A mass on a spring undm-(vm *v9l 7q jblv2cfergoes SHM. When the mass is at maximum displacement from equilibrium, its instantaneous al7mv v-c 9vm2b (j*fqlcceleration

  A mass is attached to a vertical spring and bobs up and down between points Anmd 7yljye8 7v. k9t3l and B. Where is the mass located when its kinetic energy is a min.3 d vmjnkly978ylt7eimum?

  A mass is attached to a vertical spring ks, b:h0qa c4wq*8pxiand bobs up and down between points A and B. Where is the mass located when its kinetic energy is a maximum?,0ch8*sqxkp q4 :aw bi

  A mass is attached to a klcu0:r bx0w, vertical spring and bobs up and down between points A and B. Where is the mass located when its potential energl bk0cu: ,r0wxy is a minimum?

  A mass is attached to a vertical spring and bobs u/m se-i*en 5bop and down between points A and B. Where i ie/*b5nsm-eos the mass located when its potential energy is a maximum?

  Doubling only the amplitude of a vibratk7l,oab/y)p7)ph8gbebba:s t;s s .8l6gvzping mass-and-spring system produces what effect on tpgglp)7 )zb6 s;lkv bp78e b,ashta :b o./s8yhe system's mechanical energy?

  Doubling only the massoj2qg;h pd9s vkdt81q4.+cwc of a vibrating mass-and-spring system produces what effect on the system's mechanical energ2.89hgqo v+kcw41 ;dtjsdc pq y?

  Doubling only the spring constant of a vibrating maso y ;qu(wmzk16s-and-spring system produces what effect on the sq(o;uw 6m zk1yystem's mechanical energy?

  A mass oscillates on the end of a sp: c9dsl/f; 4xr-oqgwnring, both on Earth and on the Moon. Where is the p4:xw-/r9 d;osfc ng lqeriod the greatest?

  Increasing the spring constanhdrka: - ykzk*nn+l d+8a7o9 lt k of a mass-and-spring system causes what kind of change in the resonant frequency of the system? (Assume no change in the7+-*9k8adaln+ nly o hzrkk:d system's mass m.)

  Increasing the mass M of hvlfvqp/w)3-n c53 bb6rd p w(a mass-and-spring system causes what kind of change in the resonant frequency of the system? (Assume no change in the system's spring constann5/pwv l33wc)dp(h fb vrq-6 bt k.)

  Increasing the amplitude of a mass-and-spring system causes what kdm p e12f7 62h+gmnjx3 5yokhqind of change in the resonant frequency ofn21pe gjmq+ho 63d75x ym2fkh 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 attbwx d68be 4fbmvn613 dached to a weightless string of length L. For this system, when undergoing smv6418 mbb 36dwexf ndball oscillations

  When the mass of a simple pendulukf-s 0 i+xdb9s0gmy2 ,,nrn tkm is tripled, the time required for one complete vibx,mkr ,dnt -0ssf9g+i2kn0 byration

  Both pendulum A and B are 3.0 m long. The period of A is T. Pendulum / kz:o 4l9t.tlmiav to*iwa9, A is twice as h.wtv i :t/,k*azo 94lt9olami eavy as pendulum B. What is the period of B?

  When the length of a simple pendulum iszncr l)i-3j k, tripled, the time for one complete vibration increases by a faik-z rlc)j,3 nctor of

  What happens to a simple pendulum's frequency if both its length and mass o reg- jl 2w(5sghz19jare inc9sg hrz eol-gj52 (j1wreased?

  Simple pendulum A swings back and forth at twice the frequency of si.0t 3 y8b d pll:li./(znfx /gmjkkz3jmple pendulum B. Which statement is colm.zlkzt3y nlkijgb. j3 ( f/d:x0/8prrect?

  If you take a given pendt5zb 3i1 p.v .nyobi n)4wzuh4ulum to the Moon, where the acceleration of gravity is less than on Earth, the resonant frequeni3n yuoth)bz4 zw. n5pbvi1.4 cy of the pendulum will

  Curve A in Fig. 11-1 represents.akz02+r4( fw yhfxkc

  Curve B in Fig. 11-1 representsjs1v3nr+ sdw1

  Curve C in Fig. 11-1 representsw.( k5ww m9pxa

  For a forced vibration, the amplitude of vibrafm: i qprvlpz6;pl+qxcb900 1 tion is found to depend on the

  In a wave, the maximum displacement of pointswi9g,zpxb 2,t of the wave from equilibrium is called w9z 2 g,xipb,tthe wave's

  The distance between successive crests on a wav*tk gm8,(c9z1q7 p2afgfozn be is called the wave's

  The number of crests of a wave passizd7h*n w4m c l,7u71x buggku65lcq e,ng a point per unit time is called the wave',* xgc um lndzbg w51ukhcq7u47 7el6,s

  For a wave, the frequency times tkvye 1tx2 ,z78y 7gwrzhe wavelength is the wave's

  The frequency of a wave increases. What happens to the distance between sg u r(zgx3(oc7; qk ee:/j9lhsuccessive crests if th z coge(r9eguj/ 73qxs(hlk;:e speed remains constant?

  A wave moves on a string withv rqy : y,z2+n(m5sphi wavelength l and frequency f. A second wave on the same string has wavelength 2l and travels with the same velocity. What is the fr2(izhr y5pms:v qny,+ equency of the second wave?

  Consider a traveling wave on a string of length L, mass M,w f(6w skq1 m8k s,lx.*j*aplv and tension T. A standing wave is set up. Which of the followk kq*m , p8sw(.1ljavlf* s6wxing is true?

  A string of mass m and length L is under tension53edbhte:h9 cto l hms437mu8 T. The speed of a wave in the string is v. Whath t mcdbh3h9s7t8 m5e: o3ul4e 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. Thv ylb-l 44 3 a:ps4t:amhm,lfye speed of a wave in the string is v. What will be the speeplvh a43 4l :-,ylma myt4fsb:d 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 -n.xyywmyn 1t-*vu +zjso9 7t L is under tension T. The speed of a wave in the string is v.s*m y.+ y utoyv- jtnx-n9wz17 What will be the speed of a wave in the string if the tension is increased to 2T?

  In seismology, the S wave is a transverse wavc;w n+j2 (nd 2fdyfp0we. As an S wave travels through the Earth, the relative motion between jpw; cd20w (+nd2yffn the S wave and the particles is

  In seismology, the P wave is a longitudinal wave. As a P wave tr.ajk/g3o (if6 5uqojnqaq :; oavels through the Earth, the relative motion between the P wave and the particles qnok/j ;f:oa3j( g5o. iqua6 qis

  The intensity of a wav lb/ujdfz)a(,4n7t9 qzki5 bce is

  A wave pulse traveling to the right along a thin cord reaches a disconul -nq xe*wp;vp13,dftinuity where the;,v unlp3 -pf1*xd wqe rope becomes thicker and heavier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive a:kcm.ya)e h*u mplitudes pass each other on a string, one is traveling toward the right and the other toward hya.cmk u*: e)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 traveling dl;.tq(xxk,gl ;(fdp toward the right has a positive amplitude, while the one traveling toward the left has an equal amplitude in the negatx . (t;d(l;,dlfxgkpqive direction. At the point that they occupy the same region of space at the same time

  Resonance in a system, such as zlc -:/m( 6t3 ataaggh4ln* qha string fixed at both ends, occurs when

  If one doubles the tension in a violin string, the fundamental frequency of t;gnzf1).8r/agfa k ok hat string will increase by a fagoz81 /f kf )a;a.knrgctor of

  What is the spring constant tui( 7nwd )d-,aio.s0 lg/cvpof a spring that stretches 2.00 cm when a mass of 0.600 g0vn- cidli)7otwp/(. ,du as kg is suspended from it?

  A mass is attached to a spring of spring constant 60 N/m along a h2ic*: -b*i iuzbdm) avorizontal, 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 th vb2 abi:uic-*m*d)z ie amplitude?

  A mass is attached to a spring of sprin9jgd1 m. twhj:g 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 when it is oscillating. What is thd.hj1 t:mw9 jge period of oscillation?

  A mass is attached to a spring of spring constant 60 N/m along a horizontc4ay6e)8d n kdworg 1 kkz yscxhxm;3l.;4z;5al, frictionless surface. The spring is initially stretched by a force of 5.0 N on the c;ehg y8dxnm4 .dl1srz)ko4zxc5 ka3;6k wy;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 osu.gc r/*nn 5eqcillations in 5.0 s. What is the peri* rncu 5qn/eg.od?

  A mass vibrates back and forth from the free end of an ideal spring of smdzs r6 2mj66lpring constant 20 N/m with an amplitude of 0.30 m. What is the 6mlz62 6mrdsj kinetic energy of this vibrating mass when it is 0.30 m from its equilibrium position?

  A 0.50-kg mass is attach 8ifwk3k, behe)w19-g :ifdn ded 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 ofwfewbf,d9 1-)eniidgk3kh8: 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 energy ifv:.;6f *np8sf wfmkis 8.0 J at this time. The mass is cut imfw6pi ffn*f 8;v s:k.n 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 sprin slj nhl +tbl;0)6fq(ug 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 is the amplitude of vibr0+6qljl(s u)hbflt; n ation?

  A 0.50-kg mass is attacvrazu9y5v hbk z+.k*d/m 3j(fhed to a spring of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a z ayv.(rjh+ud/b 9k5 mz3fv*kspeed 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 horizo*+ib9(xchnts0m l4ye ycb 1 0jntal spring of spring constant 50 N/m and set into simple harmonyy+s4 j( 0tblbxce* 1nmc0i9 hic 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 end of a horizontal sprhyi -api5g,k 9ing of spring constant 50 N/m and set intga 5ih i-,pky9o simple harmonic motion with an amplitude of 0.10 m. What is the total mechanical energy of this system?

  A mass vibrates back anrh/ywt4 b5ata ; l9w*fd forth from the free end of an ideal spring of spring constant 20.0/f 9*l y b;4awwtatr5h N/m with an amplitude of 0.250 m. What is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-a-t5ffmki76 g mnd-spring system is displaced 10 cm from its equilibrium position and released. A frequency of 4.0 Hz is observed. What frequency would be observed if the mass had been displaced only 5.0 fkm7gf6mit- 5cm and then released?

  A 4.0-kg object is attached to a spring of spri (.wp5 *urqf /udgf*k5j ;rbglng constant 10 N/m. The object irbj.**p r5 u lfqk/(w 5ugf;dgs displaced 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. The3/syrql3zws r,ct q.z/9+l ps object is displacec3/ w/9 zsrsz q,sltp.ry3l+qd 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 coci(u jt0ef;k3n .3 /ohtamvp) nstant 18 N/m, displaced slightly from its equilibrium position, and rel0cm( th/no j)taf v3kpei3u;.eased. What is the frequency of its vibration?

  A mass is attached to a spring. It oscilhvwzy t.z;3hc/a t;u5p 7m)p22i v qwnlates at a frequency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What is the maxitih wpca 5unzv7 3t; vp.;qm zw22/yh)mum velocity attained by the mass?

  Two masses, A and B, are attaa;w0q )x givr3 uc-/piched to different springs. Mass A vibrates with amplirc)w-g pq0ux;iva i/3tude 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 to the maximum speed of B?

  A 0.30-kg mass is suspended on a sprzy qh+j97 qjnzu6* ratk7-+ch ing. 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 th-czj6jutrhz *7q+79+ nqk yhae period of oscillation.

  A 0.30-kg mass is suspended on a springccu bfw as, 1;g+8usj6. 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 the total energy ofa,uf;18csw cg + bju6s the system.

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass stretches thekt,gi9kpkq g) 2z/y;w spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and released from rek g), igtkpy;/9zkwq 2st. Write down its equation of motion.

  An object in simple harmonic motion obeys the followinj zcl05 apfp5;g position versus time equatj 0c5a5 p;flpzion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the cvwk0 j:9tg37xsk h allw4+p, following position versus time equatiokw4 0a+,xs9wglhpj3 l t:ck v7n:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the folz( j 3wdt6. a4dlii0tn;zx8kglowing position versus time equatgj.ak n8ltt3(wx4d 0 iz;6izd ion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free e-w94bdns+o, y0mn u 0sylxv*c9geb,end of a spring executes simple harmonic motion according to the equa by ,nm+sv 0o*xew,e-s0c949dlgby untion $y = 0.50 \; \sin (18\pi \times t)$ 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 constafa9uia1 in,m 9h-yg k 7i5fi6znt of 20.0 N/m oscillates on a horizontal, frictionless track. At t= 0,ziui5fa7y fia,nik-9 1m9gh 6 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 compl1r 3y g+meom6uete swings in 8.0 s. (a) What are its frequency and period 36m1rmeog +yu on Earth?

  A 3.00-kg pendulum is 28.84 m lqy -e b8uee.*qong. What is its period on Earth?

  A pendulum has a period of - af)6i *9cq6autcghgphz*f9 2.0 s on Earth. What is its length?

  The pendulum of a grandfather clock is 1.0 m long. ax z:+lqt r) 4f7ux;mvWhat is its period on the Earzv7xu4x; )al+:r tfm qth?

  The pendulum of a grandf;goduw rx 9,h5ather clock is 1.0 m long. What is its period on the Moon where the acceleration duoxg ruh;,dw59 e to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass at*b; 1ij -y 2pmsepj1jztached to a massless string. When the mass is displaced slightly from its equilibrium position and released, the pendulum swings backsm-j2j1*1zp p yej;b i 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 an 0:h s/ofosqw3gular displacement of 8.0e. It oscillates with a period of 3.0howoq:/s f s300 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 nrr)i (bn s4t97sh9 o6f.rfou+8no 7n y ye4cpgiven time. The frequency of the wave is 120 Hz. What is the amplitude c non(h 7b8sr 4yr6+yos9nf9nt7pr u4e.)ofi?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency of the j. . h.7ygwui;h yhqq1wave is 120 Hz. What is the wavelength?h y7hqj . ;iwuy1.ghq.

  Figure 11-2 is a "snapshot" of a wave*ywvly6;,c1x kj es0x at a given time. The frequency of the wave is 120 Hz. What1; lk cyev 0xxws6,jy* is the wave speed?

  What is the frequency of a wave which has a period of 6.00 m-e6n7) :ir j fdozvjqbw85o:xs?

  What is the period own +2py;i74fiy n1 gurf a wave with a frequency of 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz and a wavelengt::*o6rpqp v kd: kyadt3,paq:h of 3.0 m?raq:tk:dvpdoa3:py q6, *: pk

  What is the velocity of a wave that-b7sb e(tun *q has a wavelength of 3.0 m and a frequency of 12 Hz?s*q neu-t(bb 7

  What is the frequency ofi*s7p u9u;urf a 2.5 m wave traveling at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is under a tension of 1350:na q /1 p0,skm7 jkfh3vr-r+x5dzsww N. Whx 1ar- /vk3w+sm:7sqw50r fhzp,kjndat is the wave speed?

  A string of linear density 6.0 g/m is under a tension of 180 N. What is the vel vj* /du/v aapp c/f:hlp h0ir.sjx8*6ocity of p v.ip6uf*h/ a/h 0p:xlpjcrv dja/* s8ropagation of transverse waves along the string?

A wave whose wavelength is 0.500 m is traveling down a 500*xyzph,4y5r3 2 uqjn l m long wire whose total m4hu*3l j 5pxyyn2zr,q ass 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 transve3hbjp. mmp/p(ois* ,yrse wave on a 2.0-m long string fixed at both ends is 200 m/s. Which y*3(oh ms.m/ppi ,pj bone of the following is not a resonant frequency of this string?

  If a guitar string has a fundamental frequency of 500 Hz, which ok1lb; rpsn/l ;ne of the following frequencies can set the string into resonant vibrpk1s;l ;l nb/ration?

  A stretched string is observed to halw5q+j8quvt7 b h p8x/ve four equal segments in a standing wave driven at a frequency of 480 Hz. What driving frequency will set u8 u 5/qlj8qvx+7bwpt hp a standing wave with five equal segments?

  A string, fixed at both ends, vibrates at a frequency of 1 g :tb///.s+auox 05egtv fkbm2 Hz with a standing trag/bx+fs mb0. v /tt :/gekou5ansverse 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 should i;re59y,b(;ky zd : lrr,cr ytdts length be if its fundamental resonance frequency : ty;(dzy 5b; rrk,ycrlerd,9is 220 Hz?

  Find the first three harmonics of a string of linear mass densityi zxod** bjz a9o;q:b/ 2.00 g/m and length ao/ *o:b;* bqjxdziz90.600 m when it is subjected to tension of 50.0 N.

A string of length 2.5 m is fixed at both endsm8onp 7k,5 puu8t ksb3. When the string vibrates at a frequency of 85 Hz, a stanmsbp 3 7u88unoktk5,pding 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.