The time for one cycle/3;/b o*cqbp86xgefn v6 vblo+nho* t of a periodic process is called the

  For a periodic process, the number of c21je*xftbv r (ycles per unit time is called the

  For vibrational motion, the maximum displaceesxa i )7(/5oz5;uxcw. :nr5 jejwpfz ,6suio ment from the equilibrium point is ca):zju epo;u .csi5j zo7/ ,ewi 6s5(xfxrwan5lled the

  A mass on a spring undergoes SHM. When the mass is at its maximum disppm 4*qh;jt 3jvlacement from equilibrium, t 3;pj*q4vjhmits instantaneous velocity

  A mass on a spring undergoes SHM. W;a2 (8ri/is q bktbga tc6 )6b9kpy+amhen the mass passes through the equilibrium position, its i8s/ brqct+at6a 9 2mik(6p;)bbgykainstantaneous velocity

  A mass on a spring undergoes SHM. When the mass c-q, f bs97sixfpirad9w 92l0:/pwe kis at maximum displacement from e9r2if,w0ea xk-pci9 /:fspbd 9 7lqswquilibrium, its instantaneous acceleration

  A mass is attached to a vertical spring and bobs upb ekg9q9(gr;f and down between points A and B. Where is the mass loc9kg;fbr(e 9gq ated when its kinetic energy is a minimum?

  A mass is attached to a vertical sprign 1rwdl; uqouff74x5 c* m-vo4p+3xgng and bobs up and down between points A and B. Where is the masx 4vxo 7cwpg4fu*5dq31m ul+r; f n-gos located when its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up and down betwe . ha a(spr8f 77mfwfbh(ioh38en points A and B. Whewp8f f( 7f(r8 hhsbi73m.h aaore 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 pogewgd+ pzt *d-)2h +qpints A and B. Where is the mass located when its potential enedw2hp-* )q eg p++gzdtrgy is a maximum?

  Doubling only the amplitude of a vibrating mass0 h530q d.nlz/h1caoapes b3f-and-spring system produces what effect on the system's mechanical enhbl3fds o05p hn3 0aaz1e/qc.ergy?

  Doubling only the mass of a vi ze :o)sluiuho z5ow;h+i0 :.obrating mass-and-spring system produces what effect on the s)iezl:how0:szh5u . oio;+ou ystem's mechanical energy?

  Doubling only the sprin )nomc3)g7h: ygxv1cgg constant of a vibrating mass-and-spring system produces what effect on the system's mecx73cvomnc)gyhg 1g:) hanical energy?

  A mass oscillates on the end of a spring, both -8gw /h8s-btgh2xz vn on Earth and on the Moon. Where is ttggb-wn2xs -h8/8zh vhe period the greatest?

  Increasing the spring constant k of a mass-and-spring system causes wha 5fm(xey3ua,,a+n jy kt kind of change in the resonant fre 5nf jy,yexu ak,am+3(quency of the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-anddan5qazyd)c8db5 7b5-spring system causes what kind of change in the resonazabdb d55ynq8 c75 d)ant frequency of the system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system gw rx4zsf15mfhg)42ucauses what kind of change in the resowuh)g xz g sm1f5rf442nant 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 weightlessgb eg* o5mv;ui)v+sj4a rh1z1 string of length L. For this 5b1r+ )oi4vjzmh gvga*seu1;system, when undergoing small oscillations

  When the mass of a simple pei*am1hw1k:koi) - )ubt9 tbnlndulum is tripled, the time required for one complete vibratik)-mi1ltu9b)w :ki h1b an*oton

  Both pendulum A and B are 3.0 m long. The sl9b +, okab+aperiod of A is T. Pendulum A is twice as heavy as pendulum B. What is the pl ak, +9bbo+aseriod of B?

  When the length of a simple pendog 2d3b(jl vy cp 6 (t,mgp+jnu1mr-c6ulum is tripled, the time for one complete vibration increrm 3g2b pg(jd1yj6(cpm,6ton l+u-vc ases by a factor of

  What happens to a simple pendulum's6nwmpt + z ;l4jpfco,( frequency if both its length and mass are incr tplopz+ cf(, 4m6jw;neased?

  Simple pendulum A swings bslou/-q:7jtcw m(;vlack and forth at twice the frequency of simple pendulum B. Which statement is corrvlc l:mo- usq(;/t7jw ect?

  If you take a given pendulum to the Moon, wynp v* 2yvkia3q f;1y/slv+u1ssf; z6here the acceleration of gravity is less than on Earth, the resonant frequency of the pendulum i uzy; yn +y*vss/l6 vkv2fap fs13;1qwill

  Curve A in Fig. 11-15hb3i0bwzyaw t;, mk6)xd0 ph7*si b b represents

  Curve B in Fig. 11-1b3xp+(xj chgwu62s ,bsc cx ,2 represents

  Curve C in Fig. 11-1 r2 6;;vd8g -d2j dis gpv2e0ygx5mtor jepresents

  For a forced vibration, the amplitude of vibration is found tzsc gv+*)e6il o depend on the

  In a wave, the maximum displacement of points of the wave from wn1fujs8quo; uf cy/ nb90*b(equilibrium is cawoq(sju nfn89bu / 1fu ;b0cy*lled the wave's

  The distance between suc/ mk9bmaoc0d 1 3qh2ddcessive crests on a wave is called the wave's

  The number of crests of a wave passing a point per unit time is called the wa 6jy0dyi vyx7+ve'sy+ijxyv 76dy 0

  For a wave, the frequency timfzkm al8 +jags75ky6nai,a/yhmjh 1 z5: +1dles the wavelength is the wave's

  The frequency of a wave increases. Wha5p7gja- am go8 t3l)att happens to the distance between successive crests if the speed re)mgt-altaa go8j5 p37mains constant?

  A wave moves on a string with wavt:c( 8:qpu.xc4aeh yrelength l and frequency f. A second wave on the same string has wavelength 2l and travels with the.q(carx4y h::u e8p tc 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. A9s nhr,, ipii1 standing wave is set up. rnp 1ii9,, shiWhich of the following is true?

  A string of mass m and lengow)db5 y 0zh61oj e:bmth L is under tension T. The speed of a wave in the string is v. What will be the speed of a5b)w dyjh0obo: ze 61m wave in the string if the mass of the string is increased to 2m, with no change in length?

  A string of mass m and length L is undep9t.y+ ffw 3qy .3sebr0/k dnzr tension T. The speed of a wave in the string is v. What will be tz3q3frfdwp9bk+.s e nyy0 t/. he 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 (ty 8i krhv63s i951+a.rjwoeys9 +xgj+ mxhbis under tension T. The speed of a wave in the string is v. Wx.b(tx 5hwov68+r s +yh 9yi9jm + jkei1ras3ghat will be 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 wavh*+4 5py5j( x2d+avon tc bqtse travels through the Earth, the relative motion between the S wa5yq (dtc vnptj*ah5xo++ s24bve and the particles is

  In seismology, the P wave is a longitudinal wave. As a P wave travels througbr b;o,wo0n2; f4zit ah the Earth, the relative motion between the P wave and the particles 2;z4rooan b,b w0ft ;iis

  The intensity of a wave*m/esn 3 j1m5cw a+jb4v/evlb is

  A wave pulse traveling to the right along a thin cord reac/j88-zy 8xedjxi y yc,hes a discontinuity where the rope becomes thickdy 88 -ijj8x/y,zy cxeer and heavier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each other on a st8fqwv gst0jn .e( 0 w c-zdy6pa4fk3*lring, one is traveling toward thew6vfqp8 c .( ye-0w0kdal jz3fns4*gt 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. z,-96lvbg+uio , f rvmThe one traveling toward the right has a positive amplitude, while the one traveling ov+g zlm9vu r6,i b,f-toward the left has 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, sucho.uvf24 .cef4;e zny1o h7rqz as a string fixed at both ends, occurs when

  If one doubles the tension in a violin string, the fundamental frequency t rq-o(bk9)hkof that (r-kthb )o9qkstring will increase by a factor of

  What is the spring constant of a spring td/(bteh7p;7u2 d mu+qb7suushat stretches 2.00 cm when a mass of 0.s(mu/qbu77ud2etpbd;hs u7+ 600 kg is suspended from it?

  A mass is attached to a spring of spring constant 60 N/m alobr u-qevyto2f-;dk1 / ng 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. Who u;-frv2de/ 1q yb-ktat is the amplitude?

  A mass is attached to a spring of sujwrh5;; .pkn pring constant 60 N/m along a horizontal, frictionless surface. The spring is initially stretched by a ru njwp5;;k.hforce 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 constant 60 * kilbkult 6ab(q)5 (gofqr0rp 61u0 cN/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 lp05u(6rgqc(o6a1bl* k )fktri u0qb oscillation?

  A mass on a spring undergoes SHM. It goes through 10 compl p0* ovetf s2nlk3)awi5 eaybsq/e/6+ete oscillations in 5.0 eo) /i0bel/5e vspa sf+qw tn3ky62*as. What is the period?

  A mass vibrates back and forth from the free end of x0i7yrr ns .i(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 0.30 m from its equilibriuisny0r(r. 7xim position?

  A 0.50-kg mass is attached to a l 3 m gkq c3is:8m//fy( hk)j)9;e izzc3ftoktspring of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed o3q t;ly: )ij ct9mhz/kiszk8)kfmf e/g3c o( 3f 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 time. bvgmw*mudm d+89jkm i2 9285mnf zzp+ The mass is cut in half, adgk+f9+* z du8 w225n9mjvmpmb zi 8mmnd 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 N/m al 6cm3pht: vgdu2fze6nx 4db7 -ong a horizontal, frictionless surface. The object oscillates in simple harmonic motion an hx vd2n: dte-c6uf43m7bp6z gd 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 )vq4l xs92fafspring of spring constant 20 N/m along a horizontal, frictionless surface. The)sfva94xq 2lf 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 ayd4i)*bd+rch)eh3t spring constant 50 N/m andbi)h )c+ryd4at h3*e d 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 3ux s-b n1ud:cf m,*qna horizontal spring of spring constant 50 N/m and set into simple harmonic moc,xfs3nq: d-b1 unm*u tion with an amplitude of 0.10 m. What is the total mechanical energy of this system?

  A mass vibrates back andkjih t (e5 qzaf+678wv forth from the free end of an ideal spring of spring constant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kinetic energ 58 fthzvqai (j7ek6+wy of this vibrating mass?

  The mass of a mass-and-spring system is displaced 10 cm fron yyy)9gfyi/ 3:pmcfv-y:zh*m its equilibrium position and released. A frequencvfyycg/:3pmn)zy hi - yy*9f:y of 4.0 Hz is observed. What frequency would be observed if the mass had been displaced only 5.0 cm and then released?

  A 4.0-kg object is attar/ /sw1wbg-fvched to a spring of spring constant 10 N/m. The object is difw//g wr-s1vbsplaced 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 consqb*85 d.zmi:0 f2 hn r+hjpuxitant 10 N/m. The object isiq5zihhj0 bufm d+2*:8 .pxn r 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 11dzj:01jk r,wtyri4yaf++k i*nxt .p8 N/m, displaced slightly from its equilibrium pz j,tprxak1.kyf:i nd0+4j1*twr iy+ osition, and released. What is the frequency of its vibration?

  A mass is attached to a spring. It 9 uq dcys0p+7k)-fl* bpa9tg voscillates at a frequency of 1.27 Hz when diqtv9 9ku-sdp+7g0 )ylcf * bapsplaced a distance of 2.0 cm from equilibrium and released. What is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to different springs. b;t 3 jvxpq3rsr.1d;jw ;s1q r Mass A vibrates with amplitude of 8.0 cmwqrdr sjpr13 x13s tb.qv;;;j 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 speed of A compare to the maximum speed of B?

  A 0.30-kg mass is suspended on a spring.;bys4 - l 6mizjcp3id; In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pullems4cyi;pji 36l d;z-b d an 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 th(v8 1x)i er jvfyx.-hxe mass stretches the spring 2.0 cm downward. The mass is then pulled an additional di - (vhv1er )yxxj8.fixstance 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 equj6w5pr i h)(gwwyjnd -b1h5p :ilibrium the mass stretches the spring 2h () p5yhd5inwjgr6 1wwj:p-b.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 he* *gbouy: fmj2d/toi8a7rlv l ./b3warmonic motion obeys the following position versus time equati tm7o dbure a*o:f*gl8w.2ybi l/j/3 von:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following position versus tim 2h3on9plip h3e equo3p n hp923hilation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following positionpmx.8mt 6: jvawh t)9w versus time equationjtm9:pm ) h t8aw.x6wv:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple harm 3zhgzjw sbxr+7 e+q-0onic motion according to the eq7b-3xj zz0gserw +hq+uation $y = 0.50 \; \sin (18\pi \times t)$ 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/m oscillates ot:ums/9 th wb.n a horizontal, frictionless track. At t= 0, the m9 wt. hmu:bs/tass 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 opvev92)uvu zaw*) a) swings in 8.0 s. (a) What are its frequency and period onv)w*)ove2zva )puua 9 Earth?

  A 3.00-kg pendulum is 28.84 m long. What is its period on Ear 4qt9d6 j6j7qg 7ypxzath?

  A pendulum has a perr;1f1s(g fgwu q,7qn eiod of 2.0 s on Earth. What is its length?

  The pendulum of a grandfather clock is 1.0 m q*6v6 vp7uy u :it bdyu;qg26vlong. What is its period on the Eart dp2v *: yigt6uu6b uqv6vqy;7h?

  The pendulum of a grandfather clock is 1.0 n(hs4xz*9 pjmo.)f nx m long. What is its period on the Moon of9*p . )shn4xnmx(jz 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 1hc* 1x*t;idam1uhyx41b dtimassless 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 (same diameter sphere) had been attached to the string insteac *hxdx4iah 1t;tmbu d1y *i11d?

A simple pendulum consisting of a 20ud)q+l/ :pvvo -g mass has initial angular displacement of 8.0e. It oscillates with a period /:v+) vopqd luof 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 f*f5eyf 0tssx4l6g pa wo 94uz4gml9: time. The frequency of the wave is 120 Hz. What is the ag0fyx64u49s4l z mefo w9gf:pl*sat 5 mplitude?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequenc l+lr f59vh1kbms ,p3ky of the wave is 12 s1p hl,vr5l3 fk9+mkb0 Hz. What is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given time. The fre*g :k(dxp g jix.z 67lmp3x,rlquency of the wave is 120 Hz. What is the wavx xxz prkmgplgi,*dj6.l:37 ( e speed?

  What is the frequency of a wave which has a period of 6.00 mskmrlt,)/u9 + (owoc d 0p*j/mjtqlh* k?

  What is the period of a wave with a frequency of 1500 Hz?ca7 0n6ugc txh 3qvll:mfw ,77

  What is the wave speed if - t5zgs0r)j;dz rr/wga wave has a frequency of 12 Hz and a wavelength of 3.0 m?r zd/s;zj0rw5g) g-rt

  What is the velocity of a wave that has a n0 +nh7g*(px*q;s7yq dsi t9zyq,twa wavelength of 3.0 m and a frequency of 12 H;xdz qtqq t* ,*pawhn79s7s ig0y+n( yz?

  What is the frequency of a 2.5 m wfvkzy88f 0zbwa3gr9 2r* 7d ys/hm9j8 u uhg8have traveling at 1400 m/s?

  A piano string of linear cklarn1 6*ewi;- +:sb i 9 jsohlv:8fimass density 0.0050 kg/m is under a tension of 1350 N. What is the wacieha o8w r-:s 6vil*jnk1if9+ ;b ls:ve speed?

  A string of linear density 6.0 g/m is under a tension of 180 N. What is the kh atd;vr-w:mqd p4ak7pv )..velocity of propagation of transverse waves along the string?pk) d v:-kavawp ;d mtqh.r.47

A wave whose wavelength it x2n1b1yod df5pl(3ms 0.500 m is traveling down a 500 m long wire whose total m(3b 2mp l5 dntof11yxdass 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 2.0t3b/k-kvngfhuc (d 9s45:khh -m long string fixed at both ends is 200 m/s. Which o3hv4t fhnhu (-ckdkb kg5 :/9sne of the following is not a resonant frequency of this string?

  If a guitar string has a fundamental frequewkb81ln,v 9orncy of 500 Hz, which one of the following frequeb 9,1 lwnv8korncies can set the string into resonant vibration?

  A stretched string is observed to have four elx 8vk,bpci1,qual segments in a standing wave driven at a frequency of 480 Hz. What driving frequency will set lv,1cpx k8b, iup a standing wave with five equal segments?

  A string, fixed at both ends, vibrates at a frequency of 12 Hz with a rebg zyta (0l7 e+upv: -d-h9kstanding transverse wave pattern containing 3 loops. Wb ah+kpu9e-7e dy-tg (r:zl0vhat frequency is needed if the standing wave pattern is to contain 4 loops?

  A string of linear density 1.5 g/m is uniez0zt 8,tdwb.qnf , -wi/,ibder a tension of 20 N. What should its length be if its fundai i8 tf/ bwndb,0,tzq,wz-i.e mental resonance frequency is 220 Hz?

  Find the first three harm,2z ueumjz 9o1onics of a string of linear mass density 2.00 g/m and length 0.600 m when it is subjected to tensioneuz uz2o9j,m1 of 50.0 N.

A string of length 2 dysw.4;1d0j -.+bhlr:lj ujo9fihi l.5 m is fixed at both ends. When the string vibrates at a frequency of 85 Hz, a standing wave wij dor wi1 .:4.lh 9jlbf;jsy0dli-+ uhth 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.