The time for one cycle on9xt v9d2ogpe.mfi g/v ;8dc 7f a periodic process is called the

  For a periodic process, the number of cycles per unit time is called tqmc gb*jkv:mh,46u+ /aft0 ajq5fzt,he

  For vibrational motion, the maximum displacement from the equilibrium poin7dnxcq8qjzk*. ti m*- t is ca *8jd7tq*mncq zxk.-illed the

  A mass on a spring undergoes SHM. When the th -6m -9jkmy 1f1ukg.dr7yqpmass is at its maximum displacement from equilibrium, its inf61gqmmkyrp. -kj 1uy79h -d tstantaneous velocity

  A mass on a spring undergoes SHM. When the masc8ypo0o5n6v; icdv 2ms passes through the equilibrium position, itmvp;5 coc y2dv068io ns instantaneous velocity

  A mass on a spring undergoeskzrv,vu n6scrus4/,u 7j w*o)2l 1eoh ,q2pms SHM. When the mass is at maximum displacement from equilibr4uwn p/1 ,,ck )2 *vssquu2rer7,6msj vozh loium, its instantaneous acceleration

  A mass is attached to a vertical sprind+ ij:5eyt*8v)t *f wuqc k,org and bobs up and down between points A and B. Where is the mass located when its kinett*oytw+ikdq vujf8) c 5e ,:r*ic energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down betweenu-gwfiszk*o+ h6o2sz/z 3np/ i;4 wdi points A and B. Where is the masi ngf;whzw/zk-i* ouis46+zd2sp /3os located when its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up and down between point c.l6ji yxu b,grk6gq,*ox l7f0j6x 2v-dw.zos A and B. Where is the mass located when its potenti xvo 7ci 2lw kx.6gbj.x0r 6l6ojq,z-fyug, d*al energy is a minimum?

  A mass is attached to a vertical spring and o*d 2bi+kd6+ 0swx3fn 1ytgj obobs up and down between points A and B. Where is the mass locatei+o36gdjyo+k x s0 *2 ntwd1fbd when its potential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-snt khv lq*3.yip gov3xh 6x).4pring system produces what effl ix)g46q.vyp3 xhh.vo3tn * kect on the system's mechanical energy?

  Doubling only the mass of a vibrating mass-and-spring8 gv y g;6:5g4wsxxtvq system produces what effect on the system's mechanicalqy;tvvx5 gwxs6 :4g g8 energy?

  Doubling only the spring constant of a vibrating mass-ceuxi9rm j vz;awg/4.*7u zvtm 96nw.and-spring system produces what effect on the system's mechanical ene.4 exwt69vgac inm7 vz;wmuzj/u.9 r* rgy?

  A mass oscillates on the end of a spring, both on Earth and on the Moon. W-cz 4bol j1.3 qoja3a3htab,zhere ia34qc3laoo.zha bb j-j3 zt1 ,s the period the greatest?

  Increasing the spring consta-r5vjd, gk*yzy+d jz, m mynpf34,+txnt k of a mass-and-spring system causes what kind of change in the resonant frequency of the system? (Assume no change in the sykyvzxm,* tjy z3fg 4 p,m d,+5ryn+-djstem's mass m.)

  Increasing the mass M of a mass-and-spring s/cuu( 7gyh+ ukc0nll3ystem causes what kind of change in the resonant frequency of the system? (Assume no change in thuy /l3n7cl+ug k0 uh(ce system's spring constant k.)

  Increasing the amplitude of )dm p)g,cj cgsjpy ka3;83wf0a mass-and-spring system causes what kind of change in the resonant frequency of the system? (Assume no other changes in the systemc p yp0jws8);,ggcfd33ak)m j.)

  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 o62jg:kw9meq m2qr v 3zf a mass M attached to a weightless string of length L. For thiv2r2 m3qm wjzkg:qe6 9s system, when undergoing small oscillations

  When the mass of a simple pendulum is tripled, the time required for o 6tx53fsja*rw e +u2jy*gv t-yne complett-5xra6 *2jf 3+y*eu gystwj ve vibration

  Both pendulum A and B are 3.0 m ldzr.u 2:u5s tmh c56sl f*gqm0ong. The period of A is T. Pendulum A is twice as:um*65 f gszt mrq 2s0.5dlhcu heavy as pendulum B. What is the period of B?

  When the length of a simple pendulum is tripled, the time for kmi*r 0k* 3 rlp+8qvi+ lwqt,2bkxtc4 one complete vibration increase4kp,w +q + 3vk*btkitmql l0ci82 *rxrs by a factor of

  What happens to a simple pendulum's frequency if both its length and md; esqa,/f: 8wa/ buzxass are increase:,a8b d/weu/ f;sqza xd?

  Simple pendulum A swings back and forthek4e 3v-7qcpvc 6gy6k at twice the frequency of simple pendulum B. Which statement pk q6-c6e 7kv gc3y4evis correct?

  If you take a given pendulum to the Moon, where the acceleration of gravitqlpul 1;i/)bz/brvu*y is less than on Earth, the resonant frequen/ buzi1rv*l p;u)bql/cy of the pendulum will

  Curve A in Fig. 11-1 represents +p 48jo4 5ew2afdcuom;yvgv*

  Curve B in Fig. 11-1 repres dpculm 6g*yuli2543u ents

  Curve C in Fig. 11-1 repredwwr:6ie(368u wjsge sents

  For a forced vibration, the amplitude of vibration isry-+-x8g;* m wlh d0zp ooh4qn found to depend on the

  In a wave, the maximum displacement of poig hz /x+ez98abnts of the wave from equilibrium is ca xh/beag9z+8zlled the wave's

  The distance between successive crests on a wavmqlto(/hli ;f.fw61 we is called the wave's

  The number of crests of a w j9 pk1aq6eoganw),;h ave passing a point per unit time is called the wave's;1hka69) epwgj ,qano

  For a wave, the frequency times the wavelength iwc e(lshs0i b2 ;f7j9ys the wave's

  The frequency of a wave increases. What nq8lcz4f e f5:kidb10happens to the distance between successive crests if the speed remai5zn8df0ik4 f1 :e clqbns constant?

  A wave moves on a string with wavelength l aalj ; x l6sf8;x,z;6was93fjy vasob7nd frequency f. A second wave on the same string has wavelength 2l and travels with the same velocity. What is the frequezjl8f a,; 6;b3j 9lvwysfa7s; 6xxosancy of the second wave?

  Consider a traveling wave on a strin1-d.vu4v7 qbw j4wnplg of length L, mass M, and tension T. A standing wave is set up. l4pq4d wub jn71-v. wvWhich of the following is true?

  A string of mass m and length L is under tension T. The l4/3mgd;tyc1fi +a5 izisjh,b1a/ uq speed of a wave in the string is v. What will be the speed of a wave in the /jg4h1 lzi i i/d+ u3;f5my,tabaqs 1cstring if the mass of the string is increased to 2m, with no change in length?

  A string of mass m and length L is y0 f4 phe6ke(+jbz8if under tension T. The speed of a wave in the string is v z f4if+kep0(bhej6y8. What will be the speed 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 of a wave in them1l dym:wj aa 7ohxi-.(d;k8xs0he ;s string is v. What will be the speed of a wave in the string if the tension is increased to 2T?ah-(1ms ;ddsih jxekya.l m;0wox:8 7

  In seismology, the S wave is a transverse wave. As an S wave travl ci9c5e+f.al:d6 hh pels through the Earth, the rel.9f6 +e idalp5c:c hlhative motion between the S wave and the particles is

  In seismology, the P wave is a longitudinnvjpfgg2 a p3h10w;xe-u4 k1em0y b :yal wave. As a P wave travels through thebh gp y-pak10ej04fg1vy3; m:we2unx Earth, the relative motion between the P wave and the particles is

  The intensity of a wave isdnk8 :0z kduxuj; e3.qv j7-wzryb5(w

  A wave pulse traveling to the right along a thin cord reaches a discontinuity whs.c,*x: y xj:bgq vxi6ere the rope bec:b, j x xsvc:yxqi6g*.omes thicker and heavier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each other on m jaywj)f ad2n4)- b phs1;m/ya string, one is traveling toward the right and the other toward the left. At the point that they occupy the s 2pjamym)h1s4w /yfd-b)na; jame region of space at the same time

  Two wave pulses pass each otf27/9c*ud(kp; f4l dnc qnhvu her on a string. The one traveling toward the 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 occupy the same regiohdnu*fq49( p; /c 7nulcd2fvkn of space at the same time

  Resonance in a system, such as a string fixed at both enj.n 2z5 jnkug,ds, occurs when

  If one doubles the tension in a violin string, the fundamental fwvumxn) 1( ,cm(sd4 eurequency of that string will increase by a nd4wx,ve1cu mms((u)factor of

  What is the spring constant of a spring that stretches 2.0b m n5b4z2 btj csy+0s8on/ll60 cm when a mass of 0.600 kz5+l8 l bmjtb s0b/n4cn2oys6g is suspended from it?

  A mass is attached to a spring o9/ft9o-5g6 jrn1ao8 hr zouvo f 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 it5 f-otzg1 9 u9n/6ooavr8rjohs equilibrium position when it is oscillating. What is the amplitude?

  A mass is attached to a spring of spring constant 60 N/m along a hoknj t iybk 0yxx.)z8.5k8eim*g3gq8n rizontal, 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 g)i.ejx yy8.zb*k0g53nk8qik8x n tm oscillation?

  A mass is attached to jh6ebi ya23:b. 1wnuvro4 ot;a spring of spring constant 60 N/m along a horizontal, frictionless surface2r ou3ab hbji.w:ty1;o4v6n e. 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 frequency of oscillation?

  A mass on a spring undergoes SHM. It goe5h9zf-dvm/ 2g;i+l ux bzz. lls through 10 complete oscillations in 5.0 s. What- 9+b 5xg2lm.hzi; dullz/fv z is the period?

  A mass vibrates back and f)a0c(hz9 pav6i xcv9 uubq2)il5;ynaorth from the free end of an ideal spring of spring constant 20 N/m with an amplitude of 0.30 m. What is the kinetic exi60 9;2i( a acl9bvu 5)yu)qnzapchvnergy of this vibrating mass when it is 0.30 m from its equilibrium position?

  A 0.50-kg mass is attached to a spring of spring yx+n h1 lk3h1dndrkb:xo m;ntf -v*(6constant 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 equh rko3n(t-1d*fy hkd: ;+mn vnx16lb xilibrium position. What is the total energy of the system?

  A mass undergoes SHM with amplitude of 4 cm. The energy is 8.0w; ab69 ,vaj auerl8)o J at this time. The mass is cut in half, and the system is again set in motion with amplitude 4.0 cm. What is theraaa )w6 8o,9ebvj lu; energy of the system now?

  A 0.50-kg mass is attached to a spring of spring ce.r9ip dcy 0yhs1c4r 0onstant 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 equil0hrci d4 y9c sye10.rpibrium 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 hlawn.*cg3 o0m lzm3,r orizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s at the equilnw3,r c.3*0 mlgal zmoibrium position. At what location are the kinetic energy and the potential energy the same?

  A 2.0-kg mass is attached to the e o6zzafm4tcf8:b63zq0rsvm t e. -d +ond of a horizontal spring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the t4d6zzz -e0oobvm: t6+8 3 ffartsq.m cotal mechanical energy of this system?

  A 2.0-kg mass is attached to the end of a2y+u(n w3zh:-zsnfoz6k1u f q horizontal spring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. s fufqzoz3nnuwh+ 261 k :-z(y What is the total mechanical energy of this system?

  A mass vibrates back and forth from the free end of an ideal spdp2/w(xhd-6jn qb a e-sze/) bring of spring constant 20.da)e 2/pqx( b/nsjz-d h-6wbe0 N/m with an amplitude of 0.250 m. What is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring system is disp0flr f -ns6knpdaqo-4i nl; q49h4+fxlaced 10 cm from its equilibrium position and released. A frequency of 4.0 Hz is observed. Whatnh+ foi-6l0frpsqf 9 ak-qdln4x; 4n4 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 sprlybj.+: ot6t s4) mqhfing constant 10 N/m. The object is .q:6tf4+b hj tm)l osydisplaced 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 sprinh 1scu56f s 1rd.ym3kgg of spring constant 10 N/m. The object is di3hus1 yd.cr 6ks5gf1msplaced 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 sligh+wj g7w/ czq0gtly from its equilibrium position, and released. What is the frequency of its /7ggc0w+w jzq vibration?

  A mass is attached to a spring. It oscillates at bklfocl.g s)r(s( )+ba frequency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium+l) (.olbf(sc )grksb and released. What is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to different springs. Mass A vibrates wi cpp r-g- g( yiij7y8-yq*ed+j0,vfyjth amplitude of 8.0 cm at a frequency of 10 Hz and mass B vibrates 8-vqji*rpc( , jy+jg7-pe gdy0 iy-fywith 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 equilibj o1(g(nv o*ntxm1lpw5 ;xb;nrium the mass stretches the spring 2.0 cm downward. The mass is then pulled a;np xw(j1x lo;bn*5v m(ng 1ton additional 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;x 95hs:fmojeq2pf/s0ou snp +1yl: h the mass stretches the spring 2.0 cm downward. The mass is then fpof 2 9qn:u+ hl/0sj s;5xose :hp1ympulled an additional distance of 1.0 cm down and released from rest. Calculate the total energy of the system.

  A 0.30-kg mass is suspended on a spring. In equi7pci+cral x a, 8k5 1yryt+k2plibrium the mass stretches the spring 2. ayri p2k57yckp 1,alxr+t8+c0 cm downward. The mass is then pulled an additional 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 time wh2pzb*b(;x;/rxah m6tz-d k equatiok -;zr;/hbd mx(pbzth62wax *n:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeyccqcs *u++ 1l1e(+k v5mm qvwks the following position versus time equation u1kcesqm+(mk* ccvv1w+q+5l:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the fk9/it:zn5j z mb8p *1xqk+o uxollowing position versus time equakq tnobi m p:kxj/x18zzu5*+9 tion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring exi5n5a fmez, ;qecutes simple harmonic motion accordingm ;a,55nezfq i 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 a force constant of 20.0 N//tqa*3opp uz7n z)o,3.brnc ee.epx -m oscillates on a horizontal, frictionlesscra u3.3pn x/- be zo.qe*po7z,et)np 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 forvvt,,wt ng;g3t . iq w7/23hewx;fqrequency and period on Eartheiv;.f,w3g/ no wthtg q; w2 xqv,73rt?

  A 3.00-kg pendulum is 28.84 m long. What is its period on o k.jyy zw) /xh7r;fq)+czf o1Earth?

  A pendulum has a period of 2.0g /giw-idnlf;o(t39xx b3 ) yv s on Earth. What is its length?

  The pendulum of a grandfather clock is 1.0 m long. What is itsj ;6wr /same5r period on the Eamswrjr/a6 ;e5 rth?

  The pendulum of a grajnanzjhd 7 62,ndfather clock is 1.0 m long. What is its period on the Moon where the acceleration due ,6 naz27 ndhjjto gravity is only $1.7 \; m/s^2$?

  A simple pendulum consistikodcf9aj -;y:h) dee; ,o qw3s of a 0.25-kg spherical 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 frdo 3 kd;aeo:e- 9jy;q, hcf)wiequency 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 angular displacemeglaz0)0veh65:y 82w t ugduzont of 8.0e. It oscillates with zul206go0uhgye vz :)da5w8t 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.uijt ga g ). )pv6g9+.xou+f)ceb,qb k The frequency of the wave is 120 Hzvu,igbj t+)g.x+fqco9pub)k . eg6a) . What is the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given time. The fre nhrptyw+(0+cz0 n*c equency of the wave isyn cp(hrnz0ct e+w*+0 120 Hz. What is the wavelength?

  Figure 11-2 is a "snapshot" of k yx;kwe y;6o:a wave at a given time. The frequency of the wave is 120 ykw y keo:x6;;Hz. What is the wave speed?

  What is the frequency of akw t)j-.b7miu wave which has a period of 6.00 ms?

  What is the period of a wave with0sss5k- ykdg. a frequency of 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz and a wv vx3b(4mcon9 avelength of 3.0 cv 9boxmv(34n m?

  What is the velocity of a wave that has a wavelength of 3.0 m and6 6fl6rmp +ijf a frequency ofpfrl 6 +6fmi6j 12 Hz?

  What is the frequency of a 2.5 m wave traveling at 1400 m/swk02 rjbfk )m,cgq d3c82i n-m?

  A piano string of linear ma;gx8czy 2k :yass density 0.0050 kg/m is under a tension of 1350 N. Whyxzy2:g8 k c;aat is the wave speed?

  A string of linear density 6.0 g/m is under a tg3tt7o md 7x1iension of 180 N. What is the velocity of propag3 g7m dt1txio7ation of transverse waves along the string?

A wave whose wavelength is 0.500 m j 6p.;dk.k -pbps4minb12 mjris traveling down a 500 m long wire whose total massn.jb-r.d kp2m1; bp k j6pms4i 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 tr+q6t(mhxn +sformu 4/ansverse 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 frequencyt+f4no6+(qmm r/ huxs of this string?

  If a guitar string has a ifmr 3 h6ctz49:1fjqk : ir6fjfundamental frequency of 500 Hz, which one of the following frequencies can set the string into resonant vzh6 tj:3 4kcjrf9f :rqfi16miibration?

  A stretched string is observed to have four equal segmep qg64id7mmkcd35cmtm mp5qnn2 )65 qnts in a standing wave driven at a frequency of 480 Hz. What driving frequency will set up a standing wave with five equal s67 mc p)gpd dnq235c m55nqmtqi mm64kegments?

  A string, fixed at both ends, vibrates at a feu / )lle)zb)irequency of 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency is needed if the standing wave pattern is to contain 4 loops/llue)z)ibe) ?

  A string of linear den uilvx,-)9u du*gyl21ni nvp.sity 1.5 g/m is under a tension of 20 N. What should its lenin-u2*yiv l)l,1d 9 .v uugxpngth be if its fundamental resonance frequency is 220 Hz?

  Find the first three harmonics of a string of np(+bn7kquy(ljw5h 0j7 t9w clinear mass density 2.00 g/m and length 0.q7 pjcj 5kbty0+h79unw (lw (n600 m when it is subjected to tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. When the string vibrates at a fm-c+ uchx-3fkl q *o6drequency of 85 Hz, a standikxu+qh m-dfc o3 cl*-6ng 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.