The time for one cycle oy85hf0 kziwxn)j ;;ysf a periodic process is called the

  For a periodic process, the number of cycles per ufvx:3e bagu c-4d0ki:cv; q;e nit time is called the

  For vibrational motion, the maximum displacement from the equilibrium point i/2ugdjk3 7 cmjs called thdmj gc2uk3/ 7je

  A mass on a spring undergoes jsxn8c + vro1;b() iqtq;oi 8ySHM. When the mass is at its maximum displacement from equilibriv ;;y+ r8qi )tc niqjx(bsoo81um, its instantaneous velocity

  A mass on a spring undergoes SHM. When )s6 5g*0b fhrscq4cnu the mass passes through the equilibrium position, its instantaneourgcsqc h)*nsf0 b5u6 4s velocity

  A mass on a spring undergoes SHM. When the mass is at maxo l2fr+1rgrhz a,4z) jimum displacement from equilibrium, its instantan l gr2j+f41)orrz, ahzeous acceleration

  A mass is attached to a vertical spri-gu;n 1ksu6et6se al1ng and bobs up and down between points A and B. Wherl;1seau u6ten6g -s 1ke is the mass located when its kinetic energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down betvef*6:p p h,bngw ;:hb :s7g aeou5zv4ween points A and B. Where is the mass located when its kinetic energy is vv4ba:g6zon :hp*,p g7 sh ebuw5f:e ;a maximum?

  A mass is attached to a vertical spring and bobs up and down g5k b15ndg 6f 63nx3yu2 zzw89iogocd between points A and B. Where is the mass located when itg1k oi9 d6gg5 x23n3owczfn8d zy5u6bs potential energy is a minimum?

  A mass is attached to a veoi)2+x.pa aw krtical spring and bobs up and down between points A and B. Waiow+ )xk2.pa here is the mass located when its potential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-spring system0 34edjccmh,a.*t r 3hhdx 7hf produces what effect on the system's mechanica04ec fh h.*t37dxr hm,dj3c hal energy?

  Doubling only the mass of a vu2ki5pr+/j zua1f ( hfibrating mass-and-spring system produces what effect on the system's mechanicafk +z/u2fr1 u( jhi5pal energy?

  Doubling only the sprgrl7g h8k x2p7ing constant of a vibrating mass-and-spring system produces what efh x7gp2 k8rlg7fect on the system's mechanical energy?

  A mass oscillates on the end of a spring, both on Earth and on thefx l- 1w pp3bid*/1gej Moon. Where is the period thlp1 pejwf 3d/*bix1-g e greatest?

  Increasing the spring constant k of a mass-and-spring system causes whaciso p 3,v l;ramp7w9r,y+wt 8t kind of change in the resonant frequency of the system? (Asiy8+;tmwwp,9r s r, p3valc 7osume no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system causes what kind g31cnounh9lc..hm*w-w dh; wof change in the resonant frequennwc mn3w.;h*wuc1go h-dl. h9cy of the system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring s+ ok/0aajvb/ t 1l(gwwystem causes what kind of change in the resonant j wv /ba1k/l+0o at(gwfrequency 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 weightlee xbnhrvysx-5+hx qjd1. 9.5iss string of length L. For this system, when undergoing small oscillati.v5+h.x 5x n eb9-hs iqryjx1dons

  When the mass of a simple pendulum is tripled, the time beojr6 1/etriie4x; w2k :y -sye -.xnrequired for one complete vibratiy- jb i:2 4etsyrnek1-/ex6w ;.oerxion

  Both pendulum A and B are 3.0 m lon 7 7kqqr5clg6ng. The period of A is T. Pendulum A is twice as heavy as pendulum B. c5qn kr77l6gq What is the period of B?

  When the length of a simple pendulum is tripled, the time fornj04mwd lh86. nu muvhcc+-e+ one complete vibration increm0 wcm +l.nuj4h8ud+cv 6-n ehases by a factor of

  What happens to a simoi5jv1 a7dqu7ple pendulum's frequency if both its length and mass are ina71 j qv7dio5ucreased?

  Simple pendulum A swings back and forth at twice the frequency of simple pendf c ywpv/79pkm)d7tvln .c5, vulum B.p)vyc.9l,fkw vc vnm/ 77dtp5 Which statement is correct?

  If you take a given pendulum to the Moon, wher( 9z1s4:juroklow/ bce the acceleration of gravity is less than on Earth, o:4ur wljc kso/9zb1( the resonant frequency of the pendulum will

  Curve A in Fig. 11-1 represen4 qnucsc::g/t ts

  Curve B in Fig. 11-1 a+;d2fcewy 2a xmsn 1)represents

  Curve C in Fig. 11-1 rep f;cagchz f*q5. kk86dresents

  For a forced vibration, the ayl*-y.fve n) or(z 3zdmplitude of vibration is found to depend on the

  In a wave, the maximum dispw y2tlp)woj;,2 cp2*w2yjs mulacement of points of the wave from equilibrium is called sjy y ,u2l*op2wmc;j)w tw2p 2the wave's

  The distance between successive crests on a wave is called the wave'srd6*wj/y a2 zi

  The number of crests of a wave passing a point per unit time is called the wave'svngw o42pks7 2 pd)t1skwnp1 )p svo7g4std22

  For a wave, the frequency times the wavelength is the wave'ju5xrf ):4numr +j.nxs

  The frequency of a wave increases. What happens to th4qzp4ygsrt pf59 2.uoe distance between successive cresq5ypo4frt sg.2z 49upts if the speed remains constant?

  A wave moves on a string with wavelength l and frequencya54ks p8crkkchv vs6enjh; 6,2y) wm6 f. A second wave on the same string has wavelength 2l and travels with the same velocity. What is the frequency of the second wave? 6462c,ck;n)v5 yas6pmshr8k wh v kje

  Consider a traveling wave on a string of length L, mass M, and tension5rd-t-b nke g*1xgewi2 l4qc , T. A standing wave1-*x e 2, gcq erk4blwi-ng5td is set up. Which of the following is true?

  A string of mass m and length L is under tension T. The spe.9m9.oich b esed of a wave in the string is v. What will be the speed of a wave in the string if the mass of somc9 ..hi 9bethe string is increased to 2m, with no change in length?

  A string of mass m and length L is under tension T. The speed of a wave ietu4yoy8;pk/2lw1f: gq je5 xn the string is v. What will be the speed of a wavepf8yke/ ue wx5lq:;y4ogj 1t 2 in the string if the length is increased to 2L, with no change in mass?

  A string of mass m and length Ltrfz d0fx2x*n l9.7 7y bc6vwt is under tension T. The speed of a wave in the string is v. What will be the speed ofxzvlxcw yf.*7bd0 62 9nrf7t t a wave in the string if the tension is increased to 2T?

  In seismology, the S wave is ken 5dzpj0n;h-ewfaog-6; i4 a transverse wave. As an S wave travels through the Earth, the rel- 04zp-5 ; gejdn;fi6eo wahnkative motion between the S wave and the particles is

  In seismology, the P wave is a longitudinal wave. As a P wave trav1s )z:a(c/yfxud8laz els through the Earth, the relative motion between the P w z)lz1sxu : fca(y/8adave and the particles is

  The intensity of a waj4cz1 jck, *nlo fw+0 nqve4v7ve is

  A wave pulse traveling to the right along a thin cord reaches a discontietpiyobxa(52y/r9gl) q 4x0* h ito/ vnuity where the rope becomes thicker and heavier. What is the orientation of the g 5a o ol29 /evyrxb4h)xpty0tqi*i(/reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each other on a sl2cr..uk pc7s d2 6tx.ex1pq ytring, one is traveling toward the right and the other toward the left. At the point that they occupy the same region ox.p6 u yd 1r.clx7tpecq .2s2kf space at the same time

  Two wave pulses pass each other on a string. The one+5fk ;xr8sf je 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 thatrj8ks 5f f;ex+ they occupy the same region of space at the same time

  Resonance in a system, such as a string tbapb 815w9y kfixed at both ends, occurs when

  If one doubles the tension in a violin string, the fundame.d*sagzjd ) g0ntal frequency of that string will increase by a factor jda0sd* z).ggof

  What is the spring constant of a spring that stretches 2.00 cm when a mass odmsvg/f:(tfsabf 24g:ga2 v -f 0.600 kg is suspenf24s/gma -fgbgv: (v:2 sadftded from it?

  A mass is attached to a spring of spring constant 60 N/m along a hb hg7-ka ki1ck14bf1- s,sgtforizontal, 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 11t- f,g c -fk1bigss7 4kbhkago 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 along a.4t)xd 1srhkk 9atp s-*j* xvtw8 d,ma horizontal, frictionless su wr-hx4 ddst*t.k,tx1amp 8 av9*j )ksrface. 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 oscillation?

  A mass is attached to a spring of spring constany4yyhkpgphbsl ses6 k1s i-/ ;:p9v/(t 60 N/m along a horizontal, frictionless surface. The yhhp/(ypk4gvkl:b/-19 s i ps;6essyspring 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 goes through 10 co80phiu ,1v6qpglku4sge5 ( 7 epv8ndymplete oscillations in 5.0 skdg ,h 5ep6q0ulgu v41n7yvsp8 iep8(. What is the period?

  A mass vibrates back and forth from the freems5q ms:lzo 5,9gam a. end of an ideal spring of spring constant 20 N/m with an amplitude of 0.30 m. What is the kinetic5 ,z:ma .95mssaqolgm 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 conswy3 0fyd2o-m2 e8y pku0/ vlxhtant 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 equilibkxo0wf dym28l0-y23hv pyeu/ rium position. What is the total energy of the system?

  A mass undergoes SHM with amplitude of 4 cm. The energ/. wvlpjkidnmf 8(59f6rcs16a xea a4y is 8.0 J at this time. The mass is cut in half, k 6x/ a9df fj.lwmea6nic 1s a45p(8vrand 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 of spring constant 20 9m1;kpt9giqnja z/9e 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 amplitupm tk99zj1qnea9/gi ; de of vibration?

  A 0.50-kg mass is attached to a sprinzws)(cfiu( s7byp 55t-pi z1fg of 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/ )p t7f-fwzspu1bisic (5( 5zys at the equilibrium position. At what location are the kinetic energy and the potential energy the same?

  A 2.0-kg mass is atta:91cju*oqsw --p9g b9 3 irn kde:faghched to the end of a horizontal spring of spring constant 50 N/m ajie ganp:r9ugq:*k-s wf 9 o1-3bd9 hcnd set 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 horizjg2g/4y+izr d5tyim8 ontal spring of spring constant 50 N/m and set into simple harmonic motimgy r4 izig +/djy85t2on with an amplitude of 0.10 m. What is the total mechanical energy of this system?

  A mass vibrates back and forth from theshfzd2;-vo2 gstv) oqp*+ bd5j,. nvr i v+f;e free end of an ideal spring of spring constant 20.0 N/m - ;peb,rszvdg jfo* qti .h5f)+o vvn+22svd;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 displaced 10 cm from its eqbgs-*pc k *:qjmp :wjv)4qq, iuilibrium position and released. A frequency of 4.0 Hz is observed. What freqm*: q*vpjbisqg-,kcqp) w:j4 uency would be observed if the mass had been displaced only 5.0 cm and then released?

  A 4.0-kg object is attached to niktj +t2x ;3oa spring of spring constant 10 N/m. The object is 2+x t3oi;nkj tdisplaced 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 of spring constant 10 N/m. xl bt /mj; f+imqoac 6*lv.w)* The object is) m+.o bvqt/;iwml*j axcl6*f displaced 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/jc1(gmsc;2nb2 xpub* m, displaced slightly from its e;b21s pjcm*ug2cb(xn quilibrium position, and released. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a frgz: icyyk. 5zkofo3rk *1 hg5*equency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What iy ggkzo13h*:k yk*i c5o.5fr zs the maximum velocity attained by the mass?

  Two masses, A and B, are attached to different springs. Mass A vibrates with cpczwpz, erx7 4t ),;hamplitude of 8.0 cm at a frequency of 10 Hz and mass B vibrates with amplitude of 5.0e);hw ,txz4pcr ,7zcp 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 equi;9ku owe :/ryl xpx80klibrium 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 per r:ypu 0xew9o8k; xkl/iod of oscillation.

  A 0.30-kg mass is suspended on (l +5 j4hag*-y j.vvo6wsgez gpxs /g*ejx+w- a spring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is t+syg xw*- *+6gpj-swge5xelj.av jv4 ( /zohghen 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 suspended on a spring. In equilibrium the mass stret8)rvs,cig .sg ches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and re.g cs)rg,v 8sileased from rest. Write down its equation of motion.

  An object in simple harmonic motion obeys the followintez855 jbnv (hg position versus time equat5ej8 5bt( zvhnion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harm;6 d+fegfm1xh (he4c konic motion obeys the following position versus time equefhm4d6 e+;fkchxg1( ation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following c3 mir4uddbi5b 4qj qod2q.23position versus time equation: qoj.454rdm2b b2iidu3d3q cq
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple harmonic mmn8;kb8) ttr dxv3f;g otion according to the e nx 8v);tt3bg;mdfrk8 quation $y = 0.50 \; \sin (18\pi \times t)$ 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 foz+d5uq,wvx 01 hrmhj9 rce constant of 20.0 N/m oscillates on a horizontal, frictionless track. At t= 0, thez0 +h, vx1mrdjq9hu w5 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 bpp736tw :,h st s2vznare its frequency and period on Earth pwbt 3,6htss7nz2:vp ?

  A 3.00-kg pendulum is 28.84 m long. What is its period oxwlh/l d5x1wm5m -l.xn Earth?

  A pendulum has a period of 2.0 s on Earth. What is its lengthwj1 orb4do3ub pg:53 y?

  The pendulum of a grandfather cl/dj1ldz7o c.b7d/l r3tsg: j nock is 1.0 m long. What is its period on the Earth?tol.scdrj 7:jdnz/ /gl b7 d31

  The pendulum of a grandfather clock is 1.0 m long. What is its period oi1v4r mh fgja+-b:o4in the Moon where the acc m ior+hb:jvgfa14- 4ieleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass a,ny kqgln0e)w1ra 8r r(bad66ttached to a massless string. When the mass is displaced slightly from its equilibrium position and reeqyk, )dgl 06b(wa a6n1r8n rrleased, 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 in8w k inym)pg6:itial angular displacement of 8.0e. 6i: w)ym g8knp 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. v+mlogpvytt a(6 jd4nd) -*1x The frequency of the wave is 120 Hz. What is the amplog*(vv n 1p+ dt6j mdyl4-tax)itude?

  Figure 11-2 is a "snapsl :t e 0qza 8re;5hsr;vl+qb+chot" of a wave at a given time. The frequency of the wave is 120 Hz. What is the w0+ e+zl8a5;: brvqer t; qchlsavelength?

  Figure 11-2 is a "snapshot" of a wave at a given ti iq/*np wiviw uhx9-/1 k wpr*-0w4oxa5ryb)gme. The frequency of the wave is 120 Hz. What is the wav -y v*pu1k 9-a no0rh)wwrqx4xiwgp/ b5*/wi ie speed?

  What is the frequency of a wave which has a period of;mh.: i bo(c0vh ,szpk 6.00 ms?

  What is the period of a wave with a frequecy-6 :oasqwz.52ip kfqb rn8-ncy of 1500 Hz?

  What is the wave speed mmf t a1 7esclv)6gy /jew36a1if a wave has a frequency of 12 Hz and a wavelength of 3.0 m?a 7c)61je6 sw1f ytmg3avme/l

  What is the velocity ae3+fp h -xf+.ac5gfv of a wave that has a wavelength of 3.0 m and a frequency ofa p xf hv.g3af+e-+5cf 12 Hz?

  What is the frequency of a 2.5 m mnf/ i3+8cw z6:z,d ntwkpc0l wave traveling at 1400 m/s?

  A piano string of linear mass densit0e*lwvqr ;mom7idn)*bu(hm ; y 0.0050 kg/m is under a tension of 1350 N. What is the ww;ml7*uoh0; *qdnvribmme( )ave speed?

  A string of linear density 6.0 g/ )xfe6c1x sd(s .:ohasm is under a tension of 180 N. What is the velocity of propagation of trans1sa)x e(6sh sfox:c. dverse waves along the string?

A wave whose wavelength is 0.500 m is traveling down a 500 m long wire x9 h/j1xq1m6p hybqj,1 ;mucdwhose total mas;mm,9buqx hj/ 1xyd j6c h1pq1s 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 wa/ jnhg2*2oz jave on a 2.0-m long string fixed at both ends is 200 m/s. Which one of the following is nota hjo/zg2n*j2 a resonant frequency of this string?

  If a guitar string has a fundamental frequency of 500 Hz, wh7-qhp e om,vyt;9.lw1 p88tbwd r zpg0ich one of the following frequencies cp ; ,y 1hmz8 9 wrtlo-pbq78.edwtpg0van set the string into resonant vibration?

  A stretched string is observed to have foob+evo1x4 z o8r+g6ji zs 8gg1ur equal segments in a standing wave driven at a xz6gv8 goiz oo1b e+4+gr18jsfrequency of 480 Hz. What driving frequency will set up a standing wave with five equal segments?

  A string, fixed at both ends, vibrates at aozj m08-*l i;cr-aydt frequency of 12 Hz with a standing transverse wave pattern d rl8ci0-*om;ajt y -zcontaining 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 tension of 25ffl*f4kj u hm m8(p/+ fgeg;r0 N. What should its length be if its fundamental ffg8lhe/r* gfm+p;k5 (ujf4m resonance frequency is 220 Hz?

  Find the first three harmonics of a string of linear mann9z m( (*d0 xd5acmvfss density 2.00 g/m and length 0.60cx da9f(n( 0 vz5m*dnm0 m when it is subjected to tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. Whe6gpz n7 +h5th3db33l gom27inpq: jhwn the string vibrates at a frequen gi2nqw3zo 6 :573hjp7mglhd+ nbp ht3cy 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.