The time for one cycle of a periodic process is calledz/(p 7fymm xw7 ljtpg5d oyxgz98;lv4bz ,.z: the

  For a periodic process, the n7bodj6a delq+ulz239p 9ax 2 tumber of cycles per unit time is called the

  For vibrational motion, the maximum displacement from the equilibrium point is c+ m klb-z4nqx,zslr2, xewk1dm+x 62 hjl5 r2vallxe2nxv21k q+z -6,5skj,bwd r hl+xlz4 2 mlrmed the

  A mass on a spring undergoes SHM. iq vu w t).(opveuf4)3When the mass is at its maximum displacement from equilibrium, its instantaneousqpu) ou 3te.(4vi fw)v velocity

  A mass on a spring undergoes SHM. When uhz6/mw24bua the mass passes through the equilibrium position, its instantaneous ve4h /2bmwauu6z locity

  A mass on a spring undergoes SHM. When the mq empg/y6n85oass is at maximum displacement from equilibrium, its instantaneeg 5oq6 m8/nypous acceleration

  A mass is attached to a vertical spring and bobs up and down between points A tz*wj: x;hs(0 z5vz)c u/imy)m r-tjh and B. Where is the mass located when its kinetic:uxmhsy- ch* j)m)(5zvz/ ;t0zwrtij energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down between poivbj9cer- . ,lqnts A and B. Where is the mass located when its kinetic 9r.cj-ve q ,lbenergy is a maximum?

  A mass is attached to vc pf v f*-:2zemkl(hook71k*a vertical spring and bobs up and down between points A and -2v(ekmklf1fc*v*7pzk ho: oB. Where is the mass located when its potential energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down between pointve1x8i)z b)jes A and B. Whe8 )vxizbj)1eere is the mass located when its potential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-f j l)2, d:+ueuk b3)4sjzljkuspring system produces what effeckujb k)l,u4j+ed2s )3: ujflz t on the system's mechanical energy?

  Doubling only the mass of a vibrating mass-and-spring system produces what eff*, u4qu9 610ejjiy xbn w9fqscec yniqc061uw9b ,q*4 j sujf9ext on the system's mechanical energy?

  Doubling only the spring cons(h8t9 s:lqboo tant of a vibrating mass-and-spring system produces whaht(q8sob: 9l ot effect on the system's mechanical energy?

  A mass oscillates on the end of a spring, both on Ear ,2cd,peocsa iy5u h:hh/9+n mth and on the Moon. Where is the periodshce /, 9ucn:ydi ao,2phhm5+ the greatest?

  Increasing the spring constant / nie1 zicm )t;y458( uhs6s8m sbedtvk of a mass-and-spring system causes what kind of change in the resonantm v;m4i85sen6(tu hidb s/ 8y)t1zcse frequency of the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system causes what kind of5*(i./ ofuuf y.y eeb4owzha dp5*+zl change in the resonant frequency of the system? (Assumef*hye. 5olb ( u+*puodfz./ 4z i5yeaw no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring a 3zj6,1puad jd,aaa6o /du6g system causes what kind of change ad da a3j,a uud,6 1g/o6zp6jain the 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 maf, g,un jy7t37qqkh9 css M attached to a weightless string of length L. For this system, when undergoing small oscillation gq tq7h,k93cu ,ny7jfs

  When the mass of a simple pendulum is tripled, the time required for one com)6k/.0gyn)gn wy8jlhurj( hdplete vibrat8jn ny/ u)y.lh)h0g(gj6kw dr ion

  Both pendulum A and B are 3.0 m long. 8yix 4tm: t*cpThe period of A is T. Pendulum A is twice as heavy a *:y84xctpimt s pendulum B. What is the period of B?

  When the length of a simple pendulum is tripled, the time for one cf ngi/6fthxwzxhiy 9p n 65z6k6(.a4 fomplete vibrat w a9pi/z4x66finz h nx.h6k6gft(5y fion increases by a factor of

  What happens to a simk*j t*45bhekbv7gi n;3p4vk je)5rsfple pendulum's frequency if both its length and mass are ink75kkjgn5ie;rv b*vhpftj4*s4e) 3 bcreased?

  Simple pendulum A swings back and forth at twice the frequency of3+kt9doka am 0 simple pendulum B. Wm3d9a0a ko+t khich statement is correct?

  If you take a given pendulum to the Moon, where the accelerascs+wqw8f 1r/.* h dpution of gravity is less than on Earth, the resonant frequencyfqd ss+hu*p.c8/wr 1w of the pendulum will

  Curve A in Fig. 11-1 re+m3r(yrt bqt ;presents

  Curve B in Fig. 11-1 rmq 8.8ysyz pn5dfdm5yya4; 5 vepresents

  Curve C in Fig. 11-1 repr-*6ds/je06/ ybxb2kz cvjgy8r*wkkap *n6 duesents

  For a forced vibration, the amplitude of vibrvwp09 cw:;atr ation is found to depend on the

  In a wave, the maximum displacement of points of thekzc 6amfhh :(uh+;6ag wave from equilibrium is called the mh 6 khhcf:ag+(;6a uzwave's

  The distance between successive crests n3+l j4n.xi.(au/es bmp5ynyon a wave is called the wave's

  The number of crests of a wave passing a point per unit time is chsmoyhm-3rohu1p* ty)2a f* : alled the wave'sa3m y hhhsurp1)y 2*oo-m*t:f

  For a wave, the frequency times the wavelength is the waefs 9kduyucrk / ..h ,p3v* x/n(+dztnve's

  The frequency of a wave increases. What happens to the distance bed :1p-* aeco+uo;kwmqtween successive crests if the speed re 1 *w;puko:q +-codemamains constant?

  A wave moves on a string with wavelength l and frequency f. A+ogay-9x (dfbj 9f pyo . kw5/zysp/2 mb*p6bs second wave on the same swgs/s -fp djk9+fmya6oxbb py(/zo*2bp9. y5tring has wavelength 2l and travels with the same velocity. What is the frequency of the second wave?

  Consider a traveling sz * a 8(jcb/w7jiafqf-k97b swave on a string of length L, mass M, and tension T. A standing wave is set up. Which of the bafcf 8-ib(s q9j7 kzas7 w*j/following is true?

  A string of mass m and length L is under tension T. The speed of a a scx67e qyahs+z7q ,uoeqfl 0ai-4v x*p1g7 3wave in the string is v. What wilzqi g q1 a+4,e6uasap07xyoq 3xl7fh- 7e*vs cl 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 sni bi- h(5y/yzpeed of a wave in the string is v. What will be the speed of a wave b5nzy/-(yi hiin 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 of a was5l( 181joufjsgur2j a wtm,)ve in the string is v. What will be the speed of a wave in the string if the tensio ut12gu)aj(sso,5rw1 j ljmf8 n is increased to 2T?

  In seismology, the S wave is a transverse wave. As an S wave travels through t . x/e+-ivm*qlxx9vfn ea1 ph0he Earth, the relative motion between the S pn9+ lvfeh e1-qvm0.xixxa/* wave and the particles is

  In seismology, the P wave is a longitudinal wave. As a P wave travels through -u, (z+j ekm5hvmjpe x-q j4t(the Earth, the relative motion between th muj5q (-xz (tmh-,4jejv+k pee P wave and the particles is

  The intensity of a wave d9v0ob gamf *0*4*ms 0evlog uis

  A wave pulse traveling to the right along a thin cord reaches a discontinugb *uj fo ,cm ;l5jxy)ql3g:s8ity where the rope becomes thicker and heavier. What is the orientation of the reflecqgy3foj l:);g b j5s *8cuxml,ted and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each otheb9 )q rn-do o+z ;bdnj;vddc2s5 p:j4ar on a string, one is traveling towadj ;br:b9vas4-nzdq2 +p n5;o )dcoj drd the right and the other 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 traveling toward t ck87wjt*nk: m9p pk-xhe right has a positive amplitude, while the one traveling toward the left has an equal amplitude in the negative direction. At the point that they occukwp ntxm:p9k78* cj k-py the same region of space at the same time

  Resonance in a system, such as5z 81l4q s* b+n 4icqrhv0peob a string fixed at both ends, occurs when

  If one doubles the tension in a vi*4xj 9/i: hy phb9djupolin string, the fundamental frequency of that string will increase by a factoyup 4bxhjhip:j d/9*9r of

  What is the spring constant of a spring that stretches 2.00 cm when a m *v,mkoh +cz qr(*h rrkr.s/j5ass of 0.600 kg is suspended +** z,r5c qrh(j.ksror/h mkvfrom it?

  A mass is attached to a spring of spring constant 60 N/m along a horizontal,- z,ot o, omkg-o1ns8p k3kn1p 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 imkk-o 11kpo, -p,to n8osnz3g s oscillating. What is the amplitude?

  A mass is attached to a spring of sugom- ii7i+x jl9 i(,cpring 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 posiui 7-i(+lio,g cmx ji9tion when it is oscillating. What is the period of oscillation?

  A mass is attached to a spring of spring constant 60 N/m along a horizoni56lsx o3tyz8r7 vnb c(w,t.etal, 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 py3c ( .botv5 rzweit6sn87,lxosition when it is oscillating. What is the frequency of oscillation?

  A mass on a spring undergoes SHM. It goes through 10 compl:sm c)q i7 bjz/dn0vao v/zx2+ete oscillations in 5.0 s. Wo2s/ ad0jz: qvzicn7m ) bv+/xhat is the period?

  A mass vibrates back and forth from the free end of an ideal spring of spring cnlig6 ip,x i:)onstant 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 equilibi)6 pi:,xlign rium position?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m alonm 2lxshq0e*5cs; tr: de zd2-b8sjwd;g 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 thebl*e z rd25hwt;:0;ds8-d 2 xsecjmqs total energy of the system?

  A mass undergoes SHM with amplitude of 4 cm. The energy is 8.0 J at this time.1ewp x+1fp oz. The mass is cut in half, andzfxo1e .pp1 +w 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 i axb8:o7xz3cof spring 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 vibrato38xb :aciz x7ion?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m along a 3jo: n)jd0cm zwieu;0horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/ jn uemz)i0cw:oj03d; 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 spring of ftkqei*dn w; 36ue3h 0spring constant 50 N/m and seqkin;3uwe ed063th* ft 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 end of a horizontal spu0;gml4y,xr i orda (ooh tq c8vxhua +707+d+ring 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+m td g;7ox0(q8 vhhary0u+x +olr ouc,ad 7i4y of this system?

  A mass vibrates back and forth from the free end of an s;so 8tf +-lrsgi9* xl/tfum) ideal spring of spring constant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kinetic energy t9gos/+f; )8fl itrlsxm*-u sof this vibrating mass?

  The mass of a mass-and-sprio29amhp l .dy7ng system is displaced 10 cm from its equilibrium position an7mylho.p a2 d9d released. A frequency 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 attached to a spring of spring cq0tvm op-.fc2 kc-gr/ onstant 10 N/m. The object is displaced br0- co-.k vcg2/ qfptmy
5.1 cm from the equilibrium position and let go. What is the period of vibration?

  A 4.0-kg object is attached -ak7v9yj i- osto a spring of spring constant 10 N/m. The object is dya - ijk7s9vo-isplaced 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 a qy/x,ohz z-.,/h pkvconstant 18 N/m, displaced slightly from v/ -xh.yq,/ hap, ozzkits equilibrium position, and released. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequency of 1x.zrcqe5b/a nr+j;f( xl. mw *.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What is the maximum velocity attained by the m qw nblc.5f(+m;x/.e ax*zrrj ass?

  Two masses, A and B, are attached to differkoqc2 nyp8. 8wbdvcf :- /iba8ent 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-q bv8 n d8ab/:.oyicp w8kfc2 speed of A compare to the maximum speed of B?

  A 0.30-kg mass is suspendg n+xr5 wx6r:ced 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 frorrnx cx6w5: +gm rest. Calculate the period of oscillation.

  A 0.30-kg mass is suspended on a spring. In equilibroemp 3-af4f b/ium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and released fp4mf3foe -/ba rom rest. Calculate the total energy of the system.

  A 0.30-kg mass is suspq.38z8i.l7xr( f z lwuxd,r omended on a spring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional dl.rdf z,8xr83mwzi xu7o. ( lqistance 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 versuffr,a.y 2. :kd v90ojl3 vmljvs time equavo.r f dkj:vm,0j2 lvf39 l.yation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic 7qa6vu rnwj5 /motion obeys the following position versus time equation:u6r7vnaq w/j 5
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following position vers2f9ye6w ho2lxk l.pr rmf;0-eus time equatm.o- 2e k6 pfxer0 lyrf;9h2lwion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free en(rk9 3bc0iljt d of a spring executes simple harmonic motion according (lj3 0irt9bkc 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 to spring with(*e9k:4 w(stbcma5ygq kyg7d a force constant of 20.0 N/m oscillates on a horizontalb*5yagswc:ek( ytk(m q4 g9 7d, 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 compf hh*ouw d4poo4p z+,6l-dy:glete swings in 8.0 s. (a) What are its frequency and pe6ou ogzph4 pfd y- w*:lho+,d4riod on Earth?

  A 3.00-kg pendulum is 28.84 m long. Whatq,usrb 21a kh32:x tqent( x5l is its period on Earth?

  A pendulum has a period of 2.0 s on Earth. W / l8a,s m3d0etd+mc:yb/wja ihat is its length?

  The pendulum of a grandfather clock is 1.0 m long. What is its pe-cnhcb.vga 4s(p3 r;hlv;2eu a j(1feriod on the Eartp;1gafc.eh; nsa4-euvc 3 rbl(h j(2vh?

  The pendulum of a granwis6j2fti 1 * sw9q4 uybm3,jzdfather clock is 1.0 m long. What is its period on the Moon where the acceleration ds4 q j6z3mi,bwfuywj s1t9i 2*ue to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attached nfd(;.e3*n z b3,vthv (n0axxax70lkurib 6 jto a massless string. When the mass is displaced slightly from its equilibriumae( nt07x(hdbua ,6x3bn0.xl 3v rzi k;nv*j f 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 of1 uvuh u92p)ou a 20-g mass has initial angular displacement of 8.0e. It oscillath)pu v9o2u uu1es 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 given time. The frequency of the nkzs5o n mde31qs c:62qy5*i74w dfnm wave is 120 Hz. What is the amplitudeo *q2w 1nqn ddm65n k :iysf73cmz54se?

  Figure 11-2 is a "snapshot" of a wave at a ro0lbw :do w7 bg,i(m;given time. The frequency of the wave(7gw,:0 bi;wblrod o m is 120 Hz. What is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given tim.:1v-mcpboxdb d,7ffx 1u8 ime. The frequency of the wave is 120 Hz. What is the wave speedop-v,fxd1cd:bi.b u x8 7mf 1m?

  What is the frequency of a wave which has a period of 8s93c sfihy1;mxik:.t ha za06.00 ms?

  What is the period of a wave eg 2bc d;j)k,ywith a frequency of 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz an.qlm xo:1-pswmsvb-r 9 6, g3un)m lfsd a wavelength of 3.0 -no-fq:g9)6v3rsm 1 s,lpmub l.xsmw m?

  What is the velocity of a wave that has a wavelength of 3.0 m and a freqsvtdk /w+e+:duency of 12 Hz?v d+w/k+sd te:

  What is the frequency of a 2.5 m wave trawl 7d4wpjm, n.veling at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is udc6h txh6t *kuft6wd t.66z)pnder a tension of 1350 N. What is the wave sh6 zt*pkw66c6) tx.d6uftt dhpeed?

  A string of linear density 6.0 g/m is under a tension of 180 N. What is the q ae; 7 us1 amaa3.7sryph h9lm(4fb9kvelocity of 7; rpq3fu7 mema(yl ah 9bs9akh.1s4apropagation of transverse waves along the string?

A wave whose wavelength is 0.500 m is traveling down a 500 m long wire wht+e2:6v1a/jr yr,gwwd st,znose totals1r e, wva2+ :z g6yrtnjt,w/d 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 propagao;5pc qef*):j y cnej;tion of a transverse wave on a 2.0-m long string fixed at both ends is 200 m/s. Whi;y)5j* jpn ofc;cqee: ch one of the following is not a resonant frequency of this string?

  If a guitar string has a fundamental frequency of 5v 2x;s03wbu vo00 Hz, which one of the following frequencies can set th2osv 30xwu vb;e string into resonant vibration?

  A stretched string is observed to have four equah zt bsll;3/2rl segments in a standing wave driven at a frequency of 480 Hz. What driving frequency will set up aslbt;3r hz/2l standing wave with five equal segments?

  A string, fixed at both ends, vibrates at a frequency of 12 H /rjq4 cexylvv*146frz with a standing transverse wave pattern containing 3 loops. What frequency is needed if the standing wave pattern is tx4rq* jcfy4v 6er1/ vlo contain 4 loops?

  A string of linear density 1.5 g/m is under a p+mb +7. wkme*8-1k dspkpfrq 6piht3tension of 20 N. What should its length be if its fundamentakm1 ksft3eb*hmp8p k+i p76wp-+rd q .l resonance frequency is 220 Hz?

  Find the first three harmonics of a string of linearl134 vxxb /jxj mass density 2.00 g/m and lengjjxxvb1 3/4xl th 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. W.5rjf prn96zj hen the string vibrates at a frequrfjjznr59p .6 ency of 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.