The time for one cycle odh--chzp5 pj1f a periodic process is called the

  For a periodic process, the numb(eqt s); sce0qan0yy/fysp;1 j. z5iw er of cycles per unit time is called the

  For vibrational motion, the maximum displacement flte ,yu8:ln* jrom the equilibrium point is calle* ln8yju el:,td the

  A mass on a spring undergoes SHM. When the mass is at its maximum displac p2nhq7kmethp*b 0kt:44 o: vuement from equilibrium,o:hmqt kv74 4nth2 kbe: upp*0 its instantaneous velocity

  A mass on a spring undergoes SHM. When the md xhsfi19(wb;q wl z8rm- (4qaass passes through the equilibrium pqdhqf18(x w 4 9zbmiw(-;s arlosition, its instantaneous velocity

  A mass on a spring uf( g/;)wv3r ( qqh rf/ypq,uigndergoes SHM. When the mass is at maximum displacement from equilibrium, its f3qrwqiq/pfvy rh,(g(; /u)ginstantaneous acceleration

  A mass is attached to a vertical spring a0)46;wadqeqw xs ecju 7l .-vnnd bobs up and down between points A and B. Where is the mass located when its kinu4 ced;sw6xq n0ae).w7jlq v-etic energy is a minimum?

  A mass is attached to a verticaln,zi6 hon*xp/( /,ufso3a ij - ynz/sa spring and bobs up and down between points A and B. Where is the mass located when its kinetic energy is a maximum/nniyih (/p zj /,za- sxon6 3fso*a,u?

  A mass is attached to a vertical spring and rjhykj/5asvk03n u2.cs(rpq-f3 ;ui bobs up and down between points A and B. Wherc sanqrh-.pu5ji/(3urvjk 30 2k ;fyse is the mass located when its potential energy is a minimum?

  A mass is attached to a vertical spring and bpugztuumd12 74a )mc/obs up and down between points A and B. Where is the mass located whep4tmag dc27/1 )zumuun its potential energy is a maximum?

  Doubling only the amplitude :xb(c lfg.z4p of a vibrating mass-and-spring system produces what effect onzpgxc(: l 4.bf the system's mechanical energy?

  Doubling only the mass of a vibrating mass-and-spring system prpj+2fkbt) msn 29ee0,* dgcmncr ..m foduces what effect on the sf.) 2mm n+c9r emjf0pknc ebt2g.d,*system's mechanical energy?

  Doubling only the spring constant of a vibraya3o :w3 b* vt+fx/pbhting mass-and-spring system produces what effect on th/p :hbbyf+v*axw t33 oe system's mechanical energy?

  A mass oscillates on the end of a spring, both on Earth and on the Moorgd 81qjjlki015g0s en. Where is the period the greated1lg ir1je5 0jksq08 gst?

  Increasing the spring constant k of a mass-and8t3)onhvu;kg(uf h :c-spring system causes what kind of change in the resonant freqf; u(3gonthcuk)8h:vuency of the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system causes wh )bdd,f/,o mb4nzd.dy at kind of change in the resonanb) oddd4b y,.f/,n dmzt frequency of the system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system causes what kbbh-(8ry9gz/:53tz bxgyv 3pp cib3 gind of change in the resonant frequency of the system? (Assume no other changeg: b/5gih3z -b ytpyxb3vz389cg( rpbs 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 a3 ,p 9tf jqbrs1sa19rljwz)8k weightless string of length L. For this system, when undergoi1sj8)brsrqal 3w t , fzj9kp19ng small oscillations

  When the mass of a simple pendulum is tripled, the time required fo0xk4-4 eom1drn + lyjtr one complete vibra+x-1ljnt emo4y d0k 4rtion

  Both pendulum A and B are 3.0 m long. The periu5yxq0y+m0w+k zs q2 (f( rlhfuy1ld1( m bz7jod of A is T. Pendulum A is twice as heavy as pendulum B. What is the peri00 x 7ku(+1 bzhyrwmf(zf1qylsy2dq lu(j+ 5mod of B?

  When the length of a simple pendulum is tripled, the time 1f3;crvb)v fwfor one complete vibrationvf v1rw) f;3cb increases by a factor of

  What happens to a simple pendulum's frequency if tq4 *:g)d tl*8)ni(h dkszvvf both its length and mass are increased?s nkvf (v d)ltqi tdg8h:4)*z*

  Simple pendulum A swings back and forth at twice the frequency of simple pendu*pcqxjvc5 , b5lum B. Which statem,cxp5jcvb 5q *ent is correct?

  If you take a given pendulum to the Moo t9rgc 7)e eyl)kc(r;vn, where the acceleration of gravity is less than on Earth, the resonant)k ;c)reev79gtlry(c frequency of the pendulum will

  Curve A in Fig. 11-1 re f:wej4csbyj4/*oe v3presents

  Curve B in Fig. 11-1 represeqtts311v8fy88xypv j v*apb 0 nts

  Curve C in Fig. 11-1 represbsk5b9 j)zpj * 983qm) ucxjrsents

  For a forced vibration, the amplitude of vibrat89i. / jpvht bur4pq*tion is found to depend on the

  In a wave, the maximum displacementy4nom1) gdty3jo:7,,hx x4jr f;vvcz of points of the wave from equilibrium is called tng,yzx,v 4of1y 7j 4;om3r )tchx vjd:he wave's

  The distance between successive crests on a wave is called 5oagmu 4z 8:xpthe wave's

  The number of crests of a wave passing a point per unit time gcd3: gamx:dn t2+jvl 3,3lszis called the wave'sl33 gjv:am2:sxn, +dd zg 3tcl

  For a wave, the frequency times the wavelength is the wave'g7s z082q(ne6icbruo s

  The frequency of a wave increases.. 0yekknhl v.e:/as,i jhm1q( What happens to the distance between successive crests if the speed remains0a e.k:,/ (nl hj1isqvyh.mek constant?

  A wave moves on a string with wavelengthiovr(z1 s* wxofg 0rd55, qw0o l and frequency f. A second wave on the same string has wavelength 2l anr ,5zo ox1g0wif*5swv ro (0dqd travels with the same velocity. What is the frequency of the second wave?

  Consider a traveling00dvvxicq0p na214 nsx 6x. mr wave on a string of length L, mass M, and tension T. A standing wave is set up. Which of the following is tx. 1 m0vnqpx06cn dva42rs0 xirue?

  A string of mass m and length L is under tension iw ove/ud -h/o3pk+6ewj jlm-6k9 9pcT. The speed of a wave in the string is v. What will be the speed of a wave in the string if the mass of the string is increjk jodi/pwk/ w-hev lcopm -36u9+96e ased to 2m, with no change in length?

  A string of mass m and length L is under tension T. The speed of a ws :d 2iv,ylh4jave in the string i:dysh 2l4 vij,s v. 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 underx b9ozq-j l82r 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 ten2 bqx-o8rz9 ljsion is increased to 2T?

  In seismology, the S wave is a transverse wave. As an S wave t-q 4j ydwb/;wqwqew7yq,;n/3p;1 gyj so 0yp pravels through the Earth, the relatjp;,bsw /jw 3yqo w /0n1 ;;q-7edqp qwgyy4ypive motion between the S wave and the particles is

  In seismology, the P wave is a longitudinal wave. As a P wave travels throu esk25ysbly;+gh the Earth, the relatk y2+ls;y5e sbive motion between the P wave and the particles is

  The intensity of a wave imqxa4id.cdnvf;o3 nr+ +k5n,s

  A wave pulse traveling to the right along j7q hi-r7xsh*pupg(0 a thin cord reaches a discontinuity where the rope becomes thicker7(rhp*ps7u-jh xqgi0 and heavier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal po. - m8u1nc dbqiv0s-gasitive amplitudes pass each other on a string, one is traveli0dqm8-1gv.sb-nuc a ing toward 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 onlceo e hac5 (,h6u(ke)(ci)o ne 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 occup6 oai n5hoeecule((c h,)ck( )y the same region of space at the same time

  Resonance in a system, such as a string fixed a-)zaa4 lrpae-cz * zf-t both ends, occurs when

  If one doubles the tension in a violinjk k1a5g *e;1n7c p2fxkjc-tj string, the fundamental frequency of that string wia 7 ;j-kt5 1xenkg1*kcp2fjj cll increase by a factor of

  What is the spring consta7j2 nztua t)c3 gaebsvm3:r1*nt of a spring that stretches 2.00 cm when a mass of 0.60jn zev7cum) ar a*:t3s2bt3 1g0 kg is suspended from it?

  A mass is attached to a l6*h2 mizy.exw +ufa4 spring of spring constant 60 N/m along a horizontal, frictionless surface.w4aez 6xm +ilh2y.u* f 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 amplitude?

  A mass is attached to a spring of spring constant 60 c(a;6 dg aabmj6q+rmc4zzf, + 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 tak4,abam6zq+dzr6; ac( m+fc j ges the mass 0.50 s to go back to its equilibrium position 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 horizontal,8nzc4*ofk5a fhhs* 3 ;aq4lbpxc1)uc frictionless surface. The spring is initially stretched by a foa45cch)n 8 fahp *o*lq3 b1zx;sukf4 crce 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. f 9taygsk /ae(y m)v*fl(ui6i lk7(ds0/dl m9 It goes through 10 complete oscillations in 5.0 s. Wha 6(t) 9ls le lk70ka(fdm*/if/isv9yg dmuya(t is the period?

  A mass vibrates back and forth from the free end of an ideal spring of spring wkf )arnlhr pe83696wcoj q1/ fpl(3tconstant 20 N/m with an amplitude of 0.30 m. What is the kin tkr3wwpfo6h 68eaj( 19 n p/lrqlf)c3etic energy 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 co1zyxb4b3 rl 8onstant 20 N/m along a horizontal, frictionless surface. The o4bx3zo 8bry 1lbject oscillates in simple harmonic 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 4 cm. The energy is 8.0 J at this tinsi )v.v;*nkb-nle 3vme. The mass is cut in half, and the system is again set in motion with amplitude 4.0 cm. What is the en)k;nnsviv*.v b3l-e nergy of the system now?

  A 0.50-kg mass is attached to i4svm;0uyaruz h f99*w zs79h a spring of spring constant 20 N/m along a horizontaly*7rum 9 9fw;u9az4hhviss0z, 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 vibration?

  A 0.50-kg mass is attached to a sprin47vj4 z jivc)dg of spring constant 20 N/m along a horizonta7 dv j4z4ji)cvl, 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 the same?

  A 2.0-kg mass is attached wkoc+6 g ut(z 1w-eiyd+t z9u5to the end of a horizontal spring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m.(9u w6ozdt1+c5g z-u yketw +i What is the total mechanical energy of this system?

  A 2.0-kg mass is attached to the ic.x wb( wbqet* be sq3f1i4axc3//2qend 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 total mechanicx i4xaf bc3sqwtiq/w1ec2(qb 3/ eb.*al energy of this system?

  A mass vibrates back and forth from the fr+ tux3zsi7 g70 m:eygjee end of an ideal spring of spring constant 20.0 N/m with an amgjzteyi77:0x 3 ms+guplitude of 0.250 m. What is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring system isviv( xjvs)usgt3n,00 1 :av ks displaced 10 cm from its equilibrium position and released. A frequency of 4.0 Hz is observed. Wt0iva(s01vuj vs:n vsg)x3 ,k hat 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 constant 10 N/m. -a k+d2ffkip/The object i /adp-kf ikf2+s 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 ofau+r f*f+b y8kmy9jv8 spring constant 10 N/m. The object is dispv+u9k8*+f8 ab ymfjry 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 springu++-zi 7v*tqcsfndh+ ec fn6* bnqk+nla l8 +3 of spring constant 18 N/m, displaced slightly from its equilibrium position, and released. What is the fan*qf- ef+cq8h+ldu n +bl +*6sz3+i tcn7kvnrequency of its vibration?

  A mass is attached to a spring. It ozrwpb o4)..a oscillates at a frequency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What is the maximum velocity attained by the mass?arz op o.4.)bw

  Two masses, A and B, are att(i4dc :ixpj0s ached to 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 spee ci04 jidx:ps(d of A compare to the maximum speed of B?

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass sxwh 6;ak8e,r7 feqt +ptretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and released fror76,tpf;a wk x +ee8hqm rest. Calculate the period of oscillation.

  A 0.30-kg mass is suspended on a spring. In equilibrium the 2y o dcyg03s)emass stretches the spring 2.0 cm downward. The mass is t2y0yd cg3es )ohen pulled 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 susp bklffbzpq6c9gm.r 647mx ;6xew33)i*abmxj ended 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 .4 ixzw*q79 6k);brm3xj6 gc efl3mapfxbm6 b cm down and released from rest. Write down its equation of motion.

  An object in simple harmonic motion obeys the following position versus time ecme)pe :jecv*w cn ar3d+b0;+)q0hb fquation:d p)ce3c b+embhqrjave:00 +n)*f c;w
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following position versus timv:8g v1 pnadh/e equag1a :vvhdn/p8tion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the follow.*p07 pfbv:)hrc2mqjelb6ty:j 1x ga ing position versus time equati2jppyg x:0b71rc)h.mq6*: jablftev on:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simw g(r6n6wyofq ; -kmh0ple harmonic motion according tow6;hf qky6mnrw-go( 0 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 .nidf1*yi- fl20.0 N/m oscillates on a horizontal, frictionless track. At t= 0, the n-fl*1iy. fi dmass 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 fr 7.a+jtod+ aea8szl.vequency and period on .l s t7da+jez+.a 8aovEarth?

  A 3.00-kg pendulum is 28.84 m long. What :4g1h+-f*8:o swxhu mz rtf.pnys ) iuis its period on Earth?

  A pendulum has a period of 2.0 s on Earth. ;(wd,xo0 zb cb What is its length?

  The pendulum of a grandfather clock is 1.0 mt6wh0ih rk c: ju e3jdun*b77;jrn1+f long. What is its period on the Earth n hc1+u6j rb7i*e k7jr0u:;tfj3nwdh?

  The pendulum of a grandfather clock is 1.0 m long. What is its period on the j eg(b9tydqx- (d5xk: h2bn m;vmk*i)Moon where the acce)qix-:yb;*5h jg2tbk(mev kmx n9d( dleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attached to a mal5*ra y0t+mln ssless string. When the mass is displaced slightly from tn5yall +* r0mits 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 the string instead?

A simple pendulum consisting of a 20-g mass has initiabuwr 0gfs 9x.;9;eflil angular displacement of 8sg u;9iw;f.b0r 9f elx.0e. It oscillates 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 frequil4 1aupbu 2rifpyu5 s,*by)-ency of the wave is 120 Hz. What is the am pu2b iispl*)4 1yb,r5ua-fyuplitude?

  Figure 11-2 is a "snapshot" of a wavy+ )wl+w)u-,yn x muxwe at a given time. The frequency of the wave is 120 Hz. What isyuy- +)lnwm) x+x,uww the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given tzadme 4jp sc(5 xnj-bt0x3uv.6o)) qu ime. The frequency of the wave is 120 Hz. W 5bz(ae4)d-)j ox x6ptmuv scq3n.ju0 hat is the wave speed?

  What is the frequency of a wave which h/.vaq z (sl0r1wm ef(fas a period of 6.00 ms?

  What is the period of a wavqjge c0nhb.(hklpf :f4g 2x7p.x wb-+e with a frequency of 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz and au *oz13zcwsr -ff1pf. wavelength of 3.0fp o*rc1-1.z3 zswuff m?

  What is the velocity of a wave that haw8q rzix +k-bn;5g.l8igp7rmt6r j9fs a wavelength of 3.0 m and a frequency of 12 H5i8gpj8tlx r6+7 n fw.i-b rrmkqzg9;z?

  What is the frequency of a 2.5 19- 1-p ) yuswhscjjzsm wave traveling at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is under a tens()vx /h*n ewoa6/lhlb. sfr *cion of 1350 N. Whathr shcla**xe wlb / v)n(o./6f is the wave speed?

  A string of linear density 6.0 g/m is under 4yu u9bd:scg-a tension of 180 N. What is the velocity of propagation of transverse waves alo uy9cb-dg:4su ng the string?

A wave whose wavelength is 0.500 m is travewuxai9vouge.63zz7 ; r; v v8m7 di0dyling down a 500 m long wire whose total mass 3i u7ovz0dgu di.r x7;zv;w ayve98m6is
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 propa myvsv:*s:3/m4hsxsy t ( iag;gation 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 frequency of this string?s mv:ymvt/ x:; s*si(3gs 4yha

  If a guitar string has a fundamenr wj;7u) rb-zdtal frequency of 500 Hz, which one of the following frequencies can set the string into zr;wrd-b)u 7jresonant vibration?

  A stretched string is obsa4/ l3r0ejfb loh/ml12f6wqe*6lpi x( fcif +erved to have four equal segments in a standing wave driven at a frequency of 480 Hz. Wlf lr2 6ec0 l4q * fx+e/j mfb6ip(l/i1h3awfohat driving frequency will set up a standing wave with five equal segments?

  A string, fixed at bon z*cxchwvbk5w e o3c05i6*v3th ends, vibrates at a frequency of 12 Hz with a standing transverse wave pattern containing 3 loops. What freq3xb n*vi5k 305vz c6hw*eowc cuency is needed if the standing wave pattern is to contain 4 loops?

  A string of linear density 1.5h0waau/ 43dktw0m5n ljk, w 9oqqy(u( g/m is under a tension of 20 N. What should its length be if its fundamental resony5uqwu4wjl(q ao 90d(tm0akh ,k/3 w nance frequency is 220 Hz?

  Find the first three hara1c k1pqr n38ji-)udumonics of a string of linear mass density 2.00 g/m and length 0.600 m i-ru1qkp dacu j)1n83when it is subjected to tension of 50.0 N.

A string of length 2.5 m is fixef) 2(s y1b+obdjvqp,ed at both ends. When the string vibrates at a frequency of 85 Hz, a standing wave2v+ oe(fjqbd )1psb,y 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.