The time for one cycle -tsli:fqm 5y z-ju w;* js:an7of a periodic process is called the

  For a periodic process, the number of cycles per unit time is calleh -5nb+x o4eam-wp vk9d the

  For vibrational motion, the m)b6p 5edrvn* daximum displacement from the equilibrium point is called thep5v) b e6*drnd

  A mass on a spring undergoes SHM. When mb6zm wpfo) w8k 9)6i2 p a5qxwf-g.xpthe mass is at its maximum displacement from equilibrium, its instantaneo pozpxg 6m2mi-f.bp9wq6a8 kxwf5 w))us velocity

  A mass on a spring undergoes SHM. When the mass passes throu:r)h/w+ i;g9k/v:wy cydrc l zgh the equilibrium posit)9/:ygcy rhw/+vzrk;:icldw ion, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass is at md+;u ds1h9 7ugcua8qgck5 s*xaximum displacement from equilibrium, its instantaneous qggs cd17 ah*+8ku s;d95cxuuacceleration

  A mass is attached to a vertical spring and bobg ce zb4.lri.kq/ ) ot84i/vijs up and down between points A and B. Where is the mass located when its kinetic energy is a minimumj4z8i/qior.g ebtlc .4i)k/ v?

  A mass is attached to a vertical spring and bobs up and down between po2+ vb 1ee2m 7ho*uwpycints A and B. Where is the mass located when its kinetic energy is a maep +ew h2mc *7y1u2vboximum?

  A mass is attached to a vertical spring and bobs up and down betwn3dibm(cnke 5g/6xl7frz uhz ,i )9u*een points A and B. Where9ibr,nfz5 u)nzgeu3 cmx6 / il*d 7hk( 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 pydcsjk-6vxw0s+m.. q oints A and B. Where is the s 0ky+6j-vs. .cmdwqxmass located when its potential energy is a maximum?

  Doubling only the amplituw jwj-4co3vcj +c51 ur+q ftf2,,bzh.b bgr:rde of a vibrating mass-and-spring system produces what effect on the system's mechanical ene f c+ 4rbj wzbbt2u3g,,-w +qjr fc1v5h.c:jrorgy?

  Doubling only the mass of a ) cpldbr47 ub1vibrating mass-and-spring system produces what effect on the system')upb14r7bc d ls mechanical energy?

  Doubling only the spring un-yhl,ck6f03n (jym3a o no: constant of a vibrating mass-and-spring system produces what effect on the system's me ,y u(3cnaf nohm j3o:k-0ln6ychanical energy?

  A mass oscillates on the end of a spring, both on Eart,hw ,vu6l;c kt e9xy+zh and on the Moon. Where isw c9 e+kxtul;,6 hy,zv the period the greatest?

  Increasing the spring constant k of a mass-andxa -lc7avt n4noih8 13-spring system causes what kind of change inlioan3t1 h-xa8n 7c 4v the resonant frequency of the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system causes whata31uk foq( x qdz. m,/4iil:xcq-t7zo kind of change in the resxqxza4q/. - 7ku1til f,odqo izc(3m:onant frequency of the system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude oo 2 ws9a5b0ogdf a mass-and-spring system causes what kind of change in the resonant frequency of tg52sba0oowd 9he 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 atta4w:3 wr0eymg60ys1 j3jli y/qjslkq 7 ched to a weightless string of length L. For this system, when undergoing small oscillati yy63/jl17ky m swls040:wrq jegqj3ions

  When the mass of a simple pendulum is tr46ejtd / lrjx7ipled, the time required for one complete vibratjj /ert6 d4xl7ion

  Both pendulum A and B are 3.0 m long. The period of A is T.y2pg upvu7yaxx*1ug uf)0sz2 y)6l:x Pendulum A is twice as heavy as penduy1x2p0: az2 v7gs6u uxfp*)gxul)yuylum B. What is the period of B?

  When the length of a simple pendulum is tripled, thbh 76plpb3i 2ue time for one complete vibration in2bb7 iu 3h6pplcreases by a factor of

  What happens to a simple pendulum's frequency 2;2-hrrszb7c zlm*8xrfe ,dt if both its length and mass are increa-z;r hsr2cd7ebx t2*zfl8rm , sed?

  Simple pendulum A swings back and forth a-m:iiouo:9m at twice the frequency of simple pendulum B. Which statement ia:9 -oum:oimi s correct?

  If you take a given pendulum to the Mmh6z/7 xp;pl w 6 h5v3nqn,yaloon, where the acceleration of gravity is less thllmp h3 p6v;zn/ q6,nhawx 7y5an on Earth, the resonant frequency of the pendulum will

  Curve A in Fig. 11-1 repr-da y1c3vnh0wphy(e7esents

  Curve B in Fig. 11-1 repre zl.x)mt7e /vr obvr0vb0l-cf)dw s2 7sents

  Curve C in Fig. 11-1 representh*x18 k9 -tztlr*eulds

  For a forced vibration, the amplitude of vibration is found to depen: x -r9ik1 .oshvyx ejhcf.-s3bj6 )icd on the

  In a wave, the maximum displacement of points of the wave from equili9sivh gx+pjvom)3+f . brium is called93i vmj).g ofs xh++pv the wave's

  The distance between successive crests on a w f+m4otkqz:ci9l , jc8ave is called the wave's

  The number of crests of a wave passing a point per un1xgb*6w dfy xx h+rrm s7+l(e3b1( gyoit time is called the wave'1wfrg +(36oylmxb b17+ gh dxy* (esrxs

  For a wave, the frequency ti8 j)h1smd *oeames the wavelength is the wave's

  The frequency of a wave increases. What happens to the distance xb46 4m6 vcxfdbetween successive crests if the d4vx6 6fxc4mbspeed remains constant?

  A wave moves on a string with wavelength lel yyh;/u(*4yxdy z; w and frequency f. A second wave on the same string has wavelength 2l and travels with the same velocity. Wh*zwdu hyxy;yl/ ;y e(4at is the frequency of the second wave?

  Consider a traveling wave on a 957 w//;cg 2vkhbbxrat 2(.yimp gqw lstring of length L, mass M, and tension T. A stan25(qmbv;b9t/. wgwp2ci/ kyhrxlg7a ding wave is set up. Which of the following is true?

  A string of mass m and length L is under tension T. lh5)hk q3aw,p 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 increased to 2m, with no change ,q3a plh )5kwhin length?

  A string of mass m and length L is under tension T. The speed of a wave ina 4*dnx-3tu )jqdac i+f1d)sp8u yi8s the string is v. What will be the speed of a wave in the str i8n+iud4xyp1-)* )jsasdtq a 8cu df3ing 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 the x8q gvqu:/wrzm/pp dl99 :f-xstring is v. What will bewfux:/p 8dzp9lv9 m :r/-qxg q the speed of a wave in the string if the tension is increased to 2T?

  In seismology, the S wave is a transverse wave. As an S wave trs98nwuv (, ,xwi- pvxfjg(dd1++wiq pavels through the Earth, the relative motion between pwn ((xv i8+ , d-qp9su,dfgj+vwwx1ithe S wave and the particles is

  In seismology, the P wave is a longitudin68pzed w7m /yz:nz+r 4an w:dkal wave. As a P wave travels through the Earth, the relative motion betwe 7 r +z/dmw6eznky:4:dn pawz8en the P wave and the particles is

  The intensity of a wave is4 c8l/vcd6bl n

  A wave pulse traveling to the right along a((wz-y *da k0p3 ndn zi3qq*tl thin cord reaches a discontinuity where the rope becomes thicker and heavier. What is the orientation of the reflected and transm p*(lnz*3(adz iydtwk0qq-3nitted pulses?

  Two wave pulses with equal positive ampliwmm8qhopl9 .2tudes pass each other on a string, one is traveling toward the right and the other toward the left. At the point that they occupy the samwo2m8 lp qhm9.e region of space at the same time

  Two wave pulses pass eo)d d9i *esi8fach other 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 neg8* sd)f9ei doiative direction. At the point that they occupy the same region of space at the same time

  Resonance in a system, such as a kt swqqmu.ynk1(nts/h h ld4- 2d1p)+string fixed at both ends, occurs when

  If one doubles the tension in a vio dvui w 7d36hz9s*f8yllin string, the fundamental frequency of that string will incredh6ds *i38 9vful wzy7ase by a factor of

  What is the spring constant of a spring that stretches 2.00 cmj vy,o*42on ol when a mass of 0.600 kg is sus4 2,o voyojl*npended from it?

  A mass is attached to a spring of spring constant :(xe*upj / as-bmu;hl93uv ph 60 N/m along a horizontal, frich:ub* u m;p9evus hl3apj/(-x tionless 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 amplitude?

  A mass is attached to a spring of spring constant 60 N/m a8uz paq6 ej 0cyrs(xanw 1g54o7tu3d8 long 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 the period o1z4c06yserx 3nt8oqpuu 58w a7j(dgaf oscillation?

  A mass is attached to a spring of spring ce ;v1 6sep o7vw1jx-dg.hs*nronstant 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 the frequency of oscilr*- ses1ojdxvp . 7g;n6 v1whelation?

  A mass on a spring undergoes SHk/voj7 k+.4w0mu oevpM. It goes through 10 complete oscillations in 5.0 s. eov k k74.u0m +vjo/wpWhat is the period?

  A mass vibrates back and f2rrrv kro;x6 vw1(mey *cp -,worth 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 energy of this vibrating mass when it is 0o v r6*w1wke v;r (cpmry2xr,-.30 m from its equilibrium position?

  A 0.50-kg mass is attached to a spring of spring constant 20 N4i)/g(f,oklca/k h:kmy w(f 3duz /ms/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s kml (kk(h4auowfgs/ d fm/)z,3/ y i:cat the equilibrium position. What is the total energy of the system?

  A mass undergoes SHM with amplitude mvz33i y aj6;bof 4 cm. The energy is 8.0 J at this time. The mass is cut in half, and the system is again set in motion with amplit ;b3jay m6zi3vude 4.0 cm. What is the energy of the system now?

  A 0.50-kg mass is attached to a spring of spring consft2-cskst ;; ccplrcq8 h (.e,tant 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 equilibctl28-;s (rstc e .cqc;hp,kfrium position. What is the amplitude of vibration?

  A 0.50-kg mass is attached to a spring of spring pinbrz2/;zdu(q(08jtp8o r b constant 20 N/m along a horizontal, frictionless surface. Theb(nrdu(z0288bt/r;jpop z iq 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 to the end of a horizontal spring of sprin5hi-*8)0k no rn -rddjo hge3cg constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the total m3rn8og*i dh-cojdh5 r)- n0ekechanical energy of this system?

  A 2.0-kg mass is attached to the end oflns(a c1c6x3c zv6lb4 a horizontal spring of spring constant 50 N/m and set into simple harmonic motv bn6x1cslc4c(63a lzion with an amplitude of 0.10 m. What is the total mechanical energy of this system?

  A mass vibrates back and forth tfxg( j.as 3.*qt)a1e50n gw l0kge yvfrom the free end of an ideal spring of spring co.kxg gsjnq3.y wte 051vefaga *tl()0nstant 20.0 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 displac,1ynasqb1 k xln(mf).ed 10 cm from its equilibrium position and released. A frequency of 4.0 Hz is observed. What frequency would be observed n )yfx1sqlan,(mb.1k if the mass had been displaced only 5.0 cm and then released?

  A 4.0-kg object is attached to a sprin 1fawuq )1fpk1g of spring constant 10 N/m. The object is displaced byffq up1wka)1 1
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 s+ rqp q:lwk +b,mznn30pring of spring constant 10 N/m. The object is dispk3 prnqlmw+:+,0 qznblaced 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,pjv5m1 l 3nb.y 4sprw: displaced slightly from its equilibrium position, and released. What is the lmp 5 s34wvjyr:n .1pbfrequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequency of 1.27 Hz wheg2tw )k icp)xw( m1h2yn displaced a distance of 2.0 cm from equilibrium and released. What is the maximum velocityt)x2)(y2hc w wgk1mip attained by the mass?

  Two masses, A and B, are attached to dizagn3k4nf4*tk6 z2n)ims+qq 6+znsdfferent springs. Mass A vibrates with amplitude of 8.0 cm at a frequency of 10 Hz and mass B vibrates with amplitude of 5a+z ftks nq4n2zis*g4z6kd)3m6+q nn.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 equxxo ,utts64 mz3r909inq zx9+7yaoxf2ur +huilibrium 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 period oo3xsnfx + 69a,o9y2x 0zxhr 4uqm+z tu9u7r itf oscillation.

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass stretches the 3y): fdp dkn,hspring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm downkh d)3pfy:, dn and released from rest. Calculate the total energy of the system.

  A 0.30-kg mass is suspendeo da/zk-5ymdu o7, c nvd1.*xqd on a spring. In equilibrium the mass stretches the spring1 *do-n.dmqvox a75udz, y /ck 2.0 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 motione(a 7ua k;bxz, obeys the following position versus time equ e,axua;(kbz 7ation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple har8ej g0 icl /)muk2emala/w (i.monic motion obeys the following position versus time equationwm k jcm) eglu e2/i.la/0ia8(:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmh ;n0* vy:59qzfxghxs onic motion obeys the following position versus time equation: y50 :*fzxvqn 9;gxhhs
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple harmonic mhqb7wuhxm2 y0a a -6 m79gc/l:ei wn;aotion according to the equatiamnhc 07a/2yamuq: e9 h6- x7gbww l;ion $y = 0.50 \; \sin (18\pi \times t)$ 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 ,+ckv5rau e4bforce constant of 20.0 N/m oscillates on a horizonecu 5kr,b4 v+atal, 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 complete swings in 8.0 s. (a) What are its frequ hzbq6wj7pco+m-k9 s) ency and period o7p+-)b mc6sk9jz oq hwn Earth?

  A 3.00-kg pendulum is 28.8 4hpt, bypf)k84 m long. What is its period on Earth?

  A pendulum has a period of 2.0 s on Earth.9zsjej qmr )-gvhe4(6 What is its length?

  The pendulum of a grandfa7cm ra))f:n0ru nv:mfrp(i.ather clock is 1.0 m long. What is its period on the Ean ramuf a:i) p: ()fm0.7rcvrnrth?

  The pendulum of a grandfawyw73 zkl+jn4. xd p5k bbc.x5ther clock is 1.0 m long. What is its period on the Mook.xnb5 +p5c dl7zywkj x3b4w .n where the acceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attached to a m.,aga(r uiy :sassless string. When the mass is display .i gsu:(ra,aced 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 (same diameter sphere) had been attached to the string instead?

A simple pendulum consisting of a 20-g mass has initial angular displacement of oi;rof7*iril zt a zi 2o.,3+u 8.0e. It oscillates with a;2+fz l iii rat, .3uroozi*o7 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.jdl r0.ese xs7-3hi n a given time. The frequency of the wave is 120 Hz.sr j7.l.-es0xhiedn3 What is the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a givena 7zjxhejsr6hk0 -hzc. p 81:k time. The frequency of the wave. -8:7pkxkaz61ej0 hhsc zrjh is 120 Hz. What is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequencyk:9vhvn 0a* oqk;cga5925 n dz .atftz of the wavad;52t5 oh9fk 0a9:z.*zk nvtagv c qne is 120 Hz. What is the wave speed?

  What is the frequency of a wave which has a ( h/7(ll 6k wn6sqw;q.othdlg period of 6.00 ms?

  What is the period of a wave with a fvchym 2rb /03qje3h 8v8 u.vxprequency of 1500 Hz?

  What is the wave speed if a wave has a h9 s40s7ugx sz.i0 p/cdy/vd23 tkt pwfrequency of 12 Hz and a wavelength of 3. d4tvt0h/p zs0k 92i3w / 7psdu.csxyg0 m?

  What is the velocity oka:+(ongxj s,fg() cgyg8 -rdf a wave that has a wavelength of 3.0 m and a frequency of 12ayj k(og(:+g 8 c)-fgxr,gsd n Hz?

  What is the frequency of a 2.5 m waggb:u/4 c+.y60ms:h cujmz dqve traveling at 1400 m/s?

  A piano string of linear mass ad4+2m+6nosjq.kk fk density 0.0050 kg/m is under a tension of 1350 N. What is the wave spekd2.fk4a+qj omsk6n + ed?

  A string of linear density 6.0 g/m z7l2dgn ta:y:o*s of8is under a tension of 180 N. What is the velocity of propagation of transverse waves along the stf: glzo*a8s7yn dot2 :ring?

A wave whose wavelength is 0.500 m is txow*o a p;v1c;raveling down a 500 m long wire whose total masxcooa1p v;* ;ws 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 propaa2 g+gy cqp/q-1-wmhigation of a transverse wave on a 2.0-m long string fixed at both ends is 200 m -a/ig2-g1qq cwypm+ h/s. Which one of the following is not a resonant frequency of this string?

  If a guitar string has a fundamental frequenojilw+j gb+1y: be.76 jfa6 qqcy of 500 Hz, which one of the following frequencies can set the string into reso qy6qgj1:w6 fbo.e+ji b7+jalnant vibration?

  A stretched string is observed to havebu 4n4bk9fcxl-sp d;xf i5(2u four equal segments in a standing wave driven at a frequency of 480 Hz. What driving frequency will set up a standing wave with five equall5su4pu( 9- f4bnxk ;xbfc2di segments?

  A string, fixed at both ends, vibrates at a frequency of 12 Hz withh1wb0 tkm9 2/ u)w ;hrynpwp(a a standing transverse ww kyma1 9hwnt);u0p (bhpr w/2ave 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 tg mdm37h/m+ lwh 9hjz,ension of 20 N. What should its length be if its fundamental reso9/hg3 mh +lz7 m,jdwhmnance frequency is 220 Hz?

  Find the first three h 9dn)*qgrebb+5kfc4 narmonics of a string of linear mass density 2.00 g/m and length 0.600 m when it is subjected to tension o5*4 b fd9)n+ nrgcbqkef 50.0 N.

A string of length 2.5 m is fixed at both ends. When the string vibrates at a n5b e1sru71 jqzt*-s lfrequency of 85 sb1-zjlneq5usr 1t *7Hz, 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.