The time for one cycle of a periodic process is callz4 a p- ji8fs2/v5ugnyed the

  For a periodic process, the number of cycles per uniw00fq :s;ta45 h mpn3qlpw*gbt time is called the

  For vibrational motion, the maximum displacement from theq 6srfsve/4teb -:q*cpoi,5k equilibrium point is calle pqe, bt-4s: s v5okr*ec6q/ifd the

  A mass on a spring undergoes SHM.3o1rbs-humrd ,gp(g:qr 4 y k* When the mass is at its maximum displacement from equilibrium31r4-ym,r:rp s d(ug*ok bgqh, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass passe 5dx jlcwscmne:8c2 2ut/5p(us through the equilibrium pocu x( 55:ul j ccwsmtedp2n/82sition, its instantaneous velocity

  A mass on a spring undergoes SHM. When the masspnzjg j(l -gn7ycb+x 78w ,g+q is at maximum displacement from equilibrium, its instantaneous accelerat,+czg 7(nj7q xwlpygn8- g +jbion

  A mass is attached to a vertica s;/xwvka cv*1 ur0rj8l spring and bobs up and down between points A and B. Where is the mass located when its ki s;8cv1u0 xr/rvk jwa*netic energy is a minimum?

  A mass is attached to a vertical spk:lz gx8codi( w h,48v)im g** -kfone3dzmx9ring and bobs up and down between points A and im),9zogk8n ddf- **i8k ve z3( cx4wxl:gho mB. Where is the mass located when its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up and dowc;w 1 z9ad3kb+he p8a 6.wz9-ahi fsxwn between points A and B. Where is the mass located when its powah6shi;8-x19z9f k w. wepa3a+dcz btential energy is a minimum?

  A mass is attached to a vertical spring and bobs up and - 4;w jtjhjwlp8w:t3idown between points A and B. Where is the mass located when iwij 4 ;8j hw3j-ltt:wpts potential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-spring system produces wt dd5e0+p2j*(ua(4wxjr vvrt hat effect on the system's mechantu*xd(wjv2t daev+ j04r (p r5ical energy?

  Doubling only the mass of a vibrating mass-and-sprdki4 * b6k6rwcxcl 6i4)7wdfz ing system produces what effect on the system's mechanical en46 ) *di7r6lxd ckf6cbwi 4wkzergy?

  Doubling only the spring constant of a vibrating 7.c1gqdcp chyeu4 h 66mass-and-spring system produces whh7c .4ugdhp16y 6ec cqat effect on the system's mechanical energy?

  A mass oscillates on the ea03mq8)s q ,ta zmu7nbnd of a spring, both on Earth and on the Moon. Where is the period the 0q8 3unmqtmsa 7az ,b)greatest?

  Increasing the spring constant k of a mass-and-spring system causes what kind gx8/o6jhfj u43w oo0l.:kjm wof change in the resonant frequency of the system? (Assume no change in the sys f:wuj8 g4oomk w.0j/jol63hx tem's mass m.)

  Increasing the mass M of av3 (8m.d5dkr5 ww dbjr mass-and-spring system causes what kind of change in the resonant frequency of the system? (Assume no change in the system's spring conw rjdk. brvm3558(dwdstant k.)

  Increasing the amplitude of a mass-and-spring sysrq6/ sgea/2riie 6n;3fjkew e- l j*7utem causes what kind of change in the resonane/g6*6jeurr w /s-f nq72ak jili3;eet 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 mass M attached to a wei* 4w nuccxez(3ghtless string of length L(czx4 uwne3* c. For this system, when undergoing small oscillations

  When the mass of a simple pendulum is tripled, the time req 8lii( zu8)hzeuired for one complete vibr8h8ez ui li()zation

  Both pendulum A and B are 3.g6z5;;/ggut 8,qbhy rx (w eoc0 m long. The period of A is T. Pendulum A is twice as heavy as pendulum B. 6g5egotrzh 8b;; cux/(gyw,qWhat is the period of B?

  When the length of a simplad-y9 o+b2 0rtl/m qkyn18cme hh4ph:e pendulum is tripled, the time for one complete vibration increases by a factor of0:9aym8o 4-r p dbheqntmhkl yc21+/ h

  What happens to a simple pendulum's frequency if both its length fdxr(:5 jzp xzcx-h65 and mass are inzhpf:5 j5- x(x xzrdc6creased?

  Simple pendulum A swingsqatr k7) 9m: qc27vsdhb66roo back and forth at twice the frequency of simple pendulum B. Which st9vq c r:kqo7)aob6 7s6trm dh2atement is correct?

  If you take a given pendulum to the Moon, where the acceleration of grl jwuhz .eh2 v5i/1uiwd;s7; navity is less than on Earth, the resonant frequency of the penduldivwe w/ihn.h1;ulj z 2s 5u7;um will

  Curve A in Fig. 11-1 9nb,j300cjriz wb tqj3iu6(v represents

  Curve B in Fig. 11-1 represenexa c-d-rdf lu6 vt u8/3f7wh2ts

  Curve C in Fig. 11-1 represennq:+m4c9 u,p jtld h2a8-sab.pe d (ugts

  For a forced vibration, the amplitude of vibration is found to depend onxkrp y+xpb -kx,hoqul50)(w5 the

  In a wave, the maximum displacement of points of the wave fzk a1tqu.gg(m4ac:7f rom equilibrium is called the wavezkq u mt 1:(c.7agfa4g's

  The distance between su7hleb 0jxrti(c 2 8nq6mrmm yo4. ;rm4ccessive crests on a wave is called the wave's

  The number of crests of a wave passing ,fzjar:7(kzg 6qc e d,;/(ilp( tkk eck:1ajwa point per unit time is called the wave' c:t( /pc:a i k1;we6ql7(,df kjakjz,ge(krzs

  For a wave, the frequency times the wavelength is t cnfd 1x;,q.fkhe wave's

  The frequency of a wave increases. What hap)8q,d ma3 kxjb 8uvvt7pens to the distance between successive cres8 tu3)7dj,b 8xvvmqakts if the speed remains constant?

  A wave moves on a string with wavelength l and frex 9(cqc bfo;1rquency f. A second wave on the same string has wavelength 2l and travels witcqxroc 9;f(b1 h the same velocity. What is the frequency of the second wave?

  Consider a traveling wave on a string of length L, mass M, and tension T. A sta91q6sr :jzz6v bizf3 anding wave is set up. Whi1b3q6fj :r96az v szzich of the following is true?

  A string of mass m and length L is under tension T. Thepws3eho ym,26 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 incy, homswe 6p23reased to 2m, with no change in length?

  A string of mass m and length L c x)g:njcus4 sdf*bb1o,m*8xis under tension T. The speed of a wave in the string is v. What will be the su4no8bfsbgc*dx) js1 :m* c,xpeed 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 z(a : rusdk9w:xjh; 1fa wave in the string is v. What will be the speed of a wave in the string if the : k;(f:1wj ah9sduzxr tension is increased to 2T?

  In seismology, the S wave is a taseq6)e/sktxkks . mm- v az:aks97+7/cm ;vsransverse wave. As an S wave travels through the Earth, the relative motion between the S wave and q m9/6x zvssest ss .am)vak-+kca :ke; m7/7kthe particles is

  In seismology, the P wave is al( di)f6 6g4c+ry nbtu longitudinal wave. As a P wave travels through the Earth, the relative motion between fdbir6l 4u( +ygc)tn6the P wave and the particles is

  The intensity of a wavgdi l 5egiio+xn1gjfw9;- )h8du7wf8 e is

  A wave pulse traveling to the right along a thin cord re 5t b d.ln.b pu/k( ttk4r.ninih1)of6aches a discontinuity where the rope become it1 4(lb5hdkr.)t6fk.inupn ntb /.os thicker and heavier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes(ktdvu2. z1df mf1h 31jo/ pxo pass each other on a string, one is travdf tj/ozf(1op1 uk3vdh .x12 meling 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. s(dxn68*j m iwThe one traveling toward the right has a positive amplitude, while the one traveling toward the left j*xs(8dwnm i6has 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,d42km32ngfmdi n h198d0lpe z occurs when

  If one doubles the tension in a violin string, the fundamentaxo/rj h11lmhk2c7uvya ))d/rl frequency of that string will increase by a fam rcj)xa/r 7huk/2 dvyo1l h)1ctor of

  What is the spring constant of a spring that stretches 2.00 cm qxjlj.f 17xu; when a mass of 0.600 kg is suspended frouj f7;x.lqj x1m it?

  A mass is attached to a spring of spring constanmm+3 i6g 4bpu-k * -e5kgdhcrat 60 N/m along a horizontal, frictionless surface. The spring is initially stretched by a force of 5.0 N on the m3-bd -g ca5hkp4 g6 *mi+keurmass 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 1 2c0+jp lzbmba spring 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 masszpb+01mj bc 2l 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 22gqotxtj,lb qqu0676ifc ;ga horizontal, frictionlxg qq2ogtfli;, 0676 jtb 2cuqess 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 frequency of oscillation?

  A mass on a spring u:hc3w/lt0v , dujmzg2ndergoes SHM. It goes through 10 complete oscillations in 5wmhj0gul2z v3,d:t /c.0 s. What is the period?

  A mass vibrates back and forth from the free end of an ideal spring of spring couch9wf z a27/6;sz, zhsk9fk t8qf8fa nstant 20 N/m with an ampl6,hk 2z8cua9zkfa/ 9q7tszffh8fw;situde of 0.30 m. What is the kinetic 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 constant 20 N/m along e k(u)/vpx5du; ekfo0a horizontal, frictionless surface. The object oscilld(;euu)o/0 xf vp ek5kates 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. 242 xtpkxr *kcThe energy is 8.0 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 tx4kcx2 k2p*t rhe energy of the system now?

  A 0.50-kg mass is attached to a spring of spring constant 20 Nkb f;wrz4 9+mzge3/ yauh*2b 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 k+93fw m;a un4zbyg bz*h2/ eramplitude of vibration?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m along a h:8.ho +q 1mqs2erwe ly mypg96orizontal, frictionless surface. The object oscillates ylqe.mo 2ge p6r+q: m89y hs1win 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 to the end of a horizontal spring of siy e6 a-1e.gqvpring constant 50 N/m and set into simple harmoni q ge6vy-i.ae1c 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 spring of spring c iwb9e: t/gs* e;gh+faonstant 50 N/m and set into simple harmonic m/efeisb;* a+:9 wthggotion with an amplitude 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 ideal .olg45wr9 n/23msgh:kw jifq spring of spring constant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kinetic ene3/.nl4 h qgsj9 w wrgo2ki5:mfrgy of this vibrating mass?

  The mass of a mass-and-spring system is displaced 10 cm from its1dkf dzj0f c r*/09m6v;j r:t3iezgjd equilibrium position and released. A frequency of 4.0 Hz is observed. What frequency would be obsemr d3drdk6 f9izj 0 ;01c/*ftvjjgz :erved 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. The op l k1l.c9 *b5vaxrx;ve)6 mutbject is displaced k xv.aurm)c; xl9t 6 *vlbpe15by
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. The object ix( sgfsbjit ehhns,b wi )7hu (c2()(8s displc(b (hhw 2fgniis( s7)e,8 xsbhut(j)aced 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 sprin*zd7y 1x;uc jcg of spring constant 18 N/m, displaced slightly from its equilibrium position, and rele;d z ccy1x7u*jased. What is the frequency of its vibration?

  A mass is attached to a sv0 riitqs2e0ov xb7kn, ,4f,1 7oq hevpring. It oscillates at a frequency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What is the mhvtqq,0 v ,e14fovixor2bs 7e7 k ,in0aximum velocity attained by the mass?

  Two masses, A and B, are attached to dif b0c7*vc anag/ietd6t 6vw65aferent springs. Mass A vibrates with amplitude of 8.0 cm at a frequency of 10 Hz and mass B vibrates with amplitude ofv eacg650b a*ni/d7cw6t ta 6v 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 ed,ghl hie7;* squilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional ;h* gelid7,sh 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 the mass stretches thq)a8qwu tr+6 he 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 of tart8huw)+ 6 qqhe system.

  A 0.30-kg mass is suspendeib/itq)qt1 xy3ut ha2p(:pq u+uhd:7 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 andpqti1t+p y q2qut:(d3)i u:7uha h/ xb released from rest. Write down its equation of motion.

  An object in simple harmonic motion obeys the following position vers3:iva +-,vv1fz mlvnnw6zmb . us time equation:zi-mn+zm3 al1bv nfv.v:6,vw
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the follj+ ;v 7de*hucuowing position versus time equat du7hecu v*+j;ion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic mot0.i.n ccfg 0taion obeys the following position versus time equf .atccg0i n.0ation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes si2*gs6lodohhw d+x7o-j g fo1 2mple harmonic motion accor- odo l27s*xgw f1+h6o jh2odgding 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 s* k/c;gq) sp zy3fl174i cvk 5zldnb7zpring with a force constant of 20.0 N/m oscillates on a horizontal, frictionless track. At t= 0, the mass is released from rest at x= 10.0 cp*/bn 5slk7z)7lgizvc1 43qcdf;zk ym. (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 and0m s9xno.kkgel 51r8 i period on Esk0. klgm9xo851e i nrarth?

  A 3.00-kg pendulum is t4xvr 2.7k (kwmkjk1tf: p8ko 28.84 m long. What is its period on Earth?

  A pendulum has a period of 2.0 s on Earth. What ke4 d m/iqc rg1u77n qs(6y5jzis its length?

  The pendulum of a grandfather clock is 1.0 m long. What is its per.mzku5:9kc(d m)c2eibbg xugl6(g5 n iod on the Earth?uc(b 9 )g k.unlg2(x :cz5kgm6md5bie

  The pendulum of a gra5v-:8 naufru cndfather clock is 1.0 m long. What is its period on the Moon where the acceleration due tnu fvu :8-5crao gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a *;qjp4jdh;9nr b (v-vfe nmc;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 frequency of 2.0 Hz. What frequency would have resulted if a 0.50-kg mass emf9*d h 4njv-c ;r;b;qvj n(p(same diameter sphere) had been attached to the string instead?

A simple pendulum consisting ofze 64vq0-vmo *g k+bd+hsb(yu a 20-g mass has initial angular displacement of 8.0e.v 4sg( hue++*qo- bkby0z mv6d 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 pkh x,1by5 lr5given time. The frequency of the wave is 120 51plrb, x5ykh Hz. What is the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency of the wlhez-otn1v c ,g/8xa-ave is 120 Hz. Whe,lc-gtaxh-o1 n/ 8zvat is the wavelength?

  Figure 11-2 is a "snapshot" of a wa a5q+x2z j ua)nmpj29xve at a given time. The frequency of the wave is 1qmu+5aj axj x22zp) 9n20 Hz. What is the wave speed?

  What is the frequency ocy7qbo e((bs *f a wave which has a period of 6.00 ms?

  What is the period of a wave with a fr5g6qeq9zark - equency of 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz and05qhg8: mj97.n1 v zsgcjc.ckjt hv3j a wavelength of 3.0 mhgz kcqhsv t.v705m3cj81n jg: j.j c9?

  What is the velocity of a wave that has a wavelength of h 5jd7c (fseeeo 4ju5+3.0 m and a frequency of 12efe 5 7du5h4+ojc j(es Hz?

  What is the frequency of a 2.5ss2g-h v)0 yqo m wave traveling at 1400 m/s?

  A piano string of linear m10, n,gwokp4k 20vtuk*ttmex ass density 0.0050 kg/m is under a tension of 1350 N. Wpt,42k0tut , mk0e*xk1 vwgo nhat is the wave speed?

  A string of linear density 6.+3wewf8n7 y x85 tezxu0 g/m is under a tension of 180 N. What is the velocity of propagation of transverse waves along the strin8 enw7ut58+xe zw3fy xg?

A wave whose wavelength is 0.500 m is traveling down a 500 ou hxic+c1f,cx9;s p1sd -th x-+(su am long wire whose totasxxsd(;h1cchs+xt,1u+ pi-cf a - 9uol 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 propagation of a transverse wave on a 2.0-m a9 63g *7 gl1h bnk,ttrpfrxpf+s9-kp long string fixed at both ends is 200 m/s. Which one of t9t l7,rt6f p9* b sarpgf13pxhgk+nk -he following is not a resonant frequency of this string?

  If a guitar string hassp1z fmb /zmp.fn+ 3s* a fundamental frequency of 500 Hz, which one of the followi*mpf/ snp1 3zm+zb.s fng frequencies can set the string into resonant vibration?

  A stretched string is observed to have four equas*x qys8fjanv//a 8pj+ ki( *hl segments in a standing wave driven at a frequency of 480 Hz. What driving frequency will ss+*/8hn yxk fj q8ia(/sa*jvpet up a standing wave with five equal segments?

  A string, fixed at both ends, vibrates at a fr6( kn7jp. itcgvto*um fenv( p53t31 pequency 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 l6pv31pf tce5kv.j n 7((3n gtm uot*ipoops?

  A string of linear density 1.5 g/m is under ap* g8 ul.yzsl1 tension of 20 N. What should its lengtsl.ulg81y z *ph be if its fundamental resonance frequency is 220 Hz?

  Find the first three harmonics of a string of m7,;5q sz7khn p5iauxlinear mass density 2.00 g/m and length 0.600 m when it is subjected to tensi7z,7h5 i5qmk;pa xs unon of 50.0 N.

A string of length 2.5 m is fixed at both ends. When the s:x95 x3 hv;tr ssxhqu1tring vibrates at a frequency of 85 Hz, a standing wave witr; hthu19 xx x5v:q3ssh 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.