The time for one cycle of a periodi 8o k4be:0igujc process is called the

  For a periodic process, the number of cycles ph zjc.4b/:g cw1zpn n:er unit time is called the

  For vibrational motion, the maximum displacement from the equilibri;we3y f-ynssu . /*tsvz cu;)zum point is called th.c u;ufs- t3;y zye/ss zvnw)*e

  A mass on a spring u cpj 0pt+:pb x8a2j0ycndergoes SHM. When the mass is at its maximum displacement from equilibriujcpbpc 8ja+ptx 20y0 :m, its instantaneous velocity

  A mass on a spring underhf8::rrto xc 59 exo1vgoes SHM. When the mass passes through the equilibrium positio1ex: fro8h v9o5t:xrcn, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass is at maximum dif n ifr4rpu )nac-.y.(splacement from equilibrium, its instantaneous acp) 4u( nanc-iff.r. ryceleration

  A mass is attached to a vertical spring and bobs up and down betweeo-1 8riy0 bid+7ug.kidw u6f on points A and B. Where is the mass located when its kinetic enero i .u -ui0diw1yf6b r8o+gk7dgy is a minimum?

  A mass is attached to a vertical spring and bobs up and dow-rg4s3 ) xipazn between points A and B. Where is the mass located when its kinetic energy is a maximum?3ga-prs i4)zx

  A mass is attached to a vertical spring and bobs up h3a j9iru(xs6 and down between points A and B. Where is the mass located when its potential energy is a minim6h rji( sux93aum?

  A mass is attached to a vertical spring and bobso, t1 *dmxc0f,t s,jkz7+ qgvi up and down between points A and B. Where is the mass loca+mg it,z 7d ojc*0fvs1k qt,x,ted when its potential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-spr 6c4sdro0 t; wlg .c3pwgqh72ebf d4(aing system produces what effect on the system's me dr c0 a(4sgdew7wq;tb3plch .g2o6f4chanical energy?

  Doubling only the mass s/x2 -bxoqhz3o ,cu* lof a vibrating mass-and-spring system produces what effect on the system's mechanical enerbsux o/2,h*3 zoc-xlq gy?

  Doubling only the spring constant of a vibrating mass-and-spring s4 2.vrwt dxmbo. -1umfystem produces what effect on thetd2br.m4 xvf-wu .1mo system's mechanical energy?

  A mass oscillates on thtzta;. 0 2bn-5wqsadye end of a spring, both on Earth and on the Moon. Where is the periabtn q05d. ysz;at 2-wod the greatest?

  Increasing the spring constant k of a mass-and-spring systemr:g 1/tk1br/brf q4kg causes what kind of change in the resonant frequencyq/1frkr tbbr :kg1/g 4 of the system? (Assume no change in the system's mass m.)

  Increasing the mass M of ay cn/8:8mhj 8hesd)sb8gj +wm mass-and-spring system causes what kind of change in the resonant frequency of the system? (Assume no change in the sys8 mewy+ :cmdn8j)jhbg s 8h/8stem's spring constant k.)

  Increasing the amplitude ofjkn)jc m1dd7v k /wo/+ a mass-and-spring system causes what kind of change in the resonant frkn cmd1k7djj+/vo w/) equency 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 w1tf 29h sxf3ze:qvrfx . 0k:neeightless string of length L. qsfz1k: xv9re 2 hf3etnf:.x0 For this system, when undergoing small oscillations

  When the mass of a simple pendulum is tripled,s(6z s;olcbh6e- 1:pjl rp 0mq the time required for one complete vibrehqcmop0lsj6-l z p:bs 16( ;ration

  Both pendulum A and B are 3.0 m long. The period of ,bwqye0inpb l8*t(ko- j8ho( A is T. Pendulum A is twice as heavy as pendulum B. What is the perihb8jqnw0t -8lo ,((poy*k eibod of B?

  When the length of a simple pendulum is tripled, the time for one complei/ hr)ik+2dl: hk9scp5m2f vxi.atf-43tf z yte vibration i9ry ipmz.2fh/) 25: sf3ttcliih+x4dkv af -k ncreases by a factor of

  What happens to a simple pendulum's frequency .m9wyti0 eefi0za /x3if both its length and mass are incrw.mfz/0x 9tiae0ie3 yeased?

  Simple pendulum A swings back and forth at twice the frequency of simp g ky5/* b/dmdf.tj,7i um9pc+.picwple pendulum B. Which statemenym.kppb 5i9it// dpw7,+*gc fj mdcu.t is correct?

  If you take a given pendulum to the Moon,b:7t*xs,e pgsie a+ .j where the acceleration of gravity is less than on Earth, the resonant frequency of the pendulumbp. ,7e+xaesg t j:is* will

  Curve A in Fig. 11-1 repa+4baagigs;+n, vo b0tz 7gd8resents

  Curve B in Fig. 11-1 represh)hj-um5 1tm d* dte0 qj/lx.uents

  Curve C in Fig. 11-1 representxegnmxd15g*kx/ + 0cg s

  For a forced vibration, the amplitude of vibrbpt0iglr9+ (j ation is found to depend on the

  In a wave, the maximum displacement of points of the wave from equilibpft o9+tl hwo v9+3xk8rium is called the ovk39+x tw8 tf+9pholwave's

  The distance between successive crvr hf.eya)k3c0*eyn i(r 1/n8(kpn .n ijg7npests on a wave is called the wave's

  The number of crests of a wave passing )n(tdz43 sg 8y u8r1azvlj* ema point per unit time is called the wave'*sez3d t yn8jla4u8 gmr()zv 1s

  For a wave, the frequenkplfa8c834 tacy times the wavelength is the wave's

  The frequency of a wave increases. What happens to the distance betw5b:rryu6.mh / 9a 1r9zvteffml87oww een successive crests if the9of/.19l 7b r8 ryur:tmemw5waz fvh6 speed remains constant?

  A wave moves on a string with wavelength l and freque3 jdbir:zp*3c/ib3p/ rh qdxjc .h- 5uncy f. A second wave on the same string has wavelength 2l and travels with the same velocity. What 3q/ p5u.3ji 3rr/ jpxchcdhbdibz *- :is the frequency of the second wave?

  Consider a traveling wave+ cp3(k za 9mxe1jmso0 on a string of length L, mass M, and tension T. A standing wave is set up. Which of the folloam zseo3(9cpm 0jkx +1wing is true?

  A string of mass m and length L is under tension T. The l:g qup: /cna2speed of a wave in the string is v. Whatpa/ ul:c:2ngq will be the speed of a 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 under tension/5bpo+ q,h:ui8l.e-7nx avo-xc avb n T. The speed of a wave in the string is v. What will be thelboncpx-b8/n qh 5:v aa o xu,i-7e+.v 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 under tension T. The speet -zxmmfw25l (d of a wave in the st 5x2-wmzfltm (ring is v. What will be the speed of a wave in the string if the tension is increased to 2T?

  In seismology, the S wave is a trrcfg8 t4qf7 5p1oh vy8,/oleqansverse wave. As an S wave travels through the Earth, the relative motion between the S wave and the part8vyghql47 /1epfr85q foco,ticles is

  In seismology, the P wave is a longitudinal wave. As a P wave tooa/wg0+zbv3 ravels through the Earth, the relative motion between to0bzgvow3 /a +he P wave and the particles is

  The intensity of a wave 7owzhby .uee (s*me:fd*86ez is

  A wave pulse traveling to the ri3p shgeux;q,q +ztw57ght along a thin cord reaches a discontinuity where the rope becomes thicker and heavier. What is the orientation of t g7s 5,utq+;pqexz3hwhe reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each other on a s )7j-le,ukik0.mc f)p-j1-uyk au ngqtring, one is traveling toward the right and the other toward the left. At the point that they occupy the same region of space - uy. l-fu)k1j)k0uagn-qm e, ckpi7jat the same time

  Two wave pulses pass each other on a string. eh6.hrbg spa ykg1fe6 ;u8*+ j+cz+v qThe one traveling toward the right has a positive amplitude, while the one traveling toward the left has an equa6e6bse.ajpvz8qy* 1++cfk;+ h ruh g gl 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 st e-wkj zc; nd,k2rg-+dring fixed at both ends, occurs when

  If one doubles the tension in a violin string, the fundad (k gc i ye -5wnha+gyuk6w):xe;*fd8mental frequency of that string will increase by a face*e)ku g-5g(fycynwi d+6: a8x d; wkhtor of

  What is the spring constant of a spring rxel r8f- u2g;33fifjlb:wdd2.54oc quus8qthat stretches 2.00 cm when a mass of 0.600 kg is suspendlru.iuld ef c 3qbfd:ofs52882 u j-g3q;rx4 wed from it?

  A mass is attached to a spring of spring constant 60 N/m along a horizontal, fr*6wn hv ;g3rp+n 0zgmpn. kr4rictionless 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 equilibriuk03nrh*w+p .r n6m ;ggvzr p4nm position when it is oscillating. What is the amplitude?

  A mass is attached to a spring of spring constant 60 N/m along a horizontal, 1v4te lezl;i dx,za. 5i*hd+h 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 ta; h,t51e xdzi4z*h i.+llvedhe period of oscillation?

  A mass is attached to a spring of spring const9b6bhnfq x: g:ant 60 N/m along a horizontal, frictionless surface. The spring is initially stretched by a force of 5.0 N :nf 9qb6:bh xgon 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 complete o-5 np/avnsuiy:s 6 *mescillations in 5.0 s. Wn yn6mpv/i-5e*a s:u shat is the period?

  A mass vibrates back and forth from the free end of an ideal spring of gyc lo5j 7ggqo5en bc)1)(6xospring constant 20 N/m with an amplitude of 0.30 m. What is lo cobxo7 gng)5g 1e56q)ycj(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 alog rcs6af xyx u+a :rl;oe l,9-m.ju2/h,nrmv 5ng a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s at the equilibrium position. Wnh,o+ xx:.- ,2a vyr 9uma rc5gm6;j frul/elshat is the total energy of the system?

  A mass undergoes SHM with amphuv+*i6 wx89dlgb7uulitude of 4 cm. The energy is 8.0 J at this time. The mass is cut in*uvx6uuw97di +bl8 gh half, and 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 alo)a khw(p698 re9y-yqsz 2 agxcng a horizontal, frictionless surface. The object oscill6ezc 89a9 krsxgyyq( w)ah2p- ates 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 spring of spring constant 20 N/m gh /lb8h4; h0xul3tenalong a horizonthbne u;8xthl /4g0l3hal, 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 to the end of a horizontal spring of spring cg ar pyh14qqg9 wcer71l8a 0c1onstant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the total mechanical energy of this syst8 1g 9rwec pa4 ya1qrh0g1cl7qem?

  A 2.0-kg mass is attached to the cw(t9qgl e ko::)ep9xend of a horizontal spring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m.qc9( wp9 g):oltek: xe What is the total mechanical energy of this system?

  A mass vibrates back and forth from the free end of:s4; 2gx1 woqb85we *:4xwjum wsk tpy an ideal spring of spring constant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kinetic energy of thi:4:e2 w1 km; osg xwpx8q*t4 bswuwj5ys vibrating mass?

  The mass of a mass-and-spring system is displaced 10 cm from its ub236 .xyy 0mlzvt p0vcrcf4 ,)9cjii equilibrium position and released. A frequency of 4.0 Hz is observed. What frequency would be observed if l9.f 6vi)0y t3c uc4 ip 02,xjzmrcbvythe 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//k er h q(s v xepu(fz1yh,(6;1dwg+fum. The object is dis /k1;( e(uh1yf rqge, dsz6w(pf x+hvuplaced 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 springey*,yvhfq3 0q constant 10 N/m. The object is displaced*qqeyv y 0,fh3 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 cojs otzhv95nw-4 j0x7ox)/x yr/qkal (nstant 18 N/m, displaced slightly from its equilibrium position, and released. What is the frequency 5 yoq-rxj (/t7sj nlah z4wk/oxvx09) of its vibration?

  A mass is attached to a sprinugb l6u* ,/hd ijlz5;xg. It oscillates at a frequency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What is the maximum vi;/ l*dbu6lhu ,5gz jxelocity attained by the mass?

  Two masses, A and B, are attache8u z-eaq5oag a7:a;huf;:zr duc2(lrd to different springs. Mass A vibrates with amplitude of 8.0 cm at a frequency of 10 Hz and mass B vibrz(:d a;ufc l:r57zeaag28uqh- ;urao ates 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. In equilibrium the mass st 4lhf2dtr v5w,retches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down 5vh 4,wdrf2tl and released from rest. Calculate the period of oscillation.

  A 0.30-kg mass is suspended on a spring. In equilibr fv7c* 7/zfjuli0odf/ium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance o7f0i juz/*v7 dclf/fof 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 w5.awke 5; n/ rqa2sobequilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down andqn bww52 k5roe;as/. a released from rest. Write down its equation of motion.

  An object in simple harmonic motion obeys the following position versus time eqs7vui3ri +w;yusv3r+w7 yiu ;iation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the followia4k-fd c3fw(xr ct y:2c;ns1b ng position versus time equa: xrc3 s fkfbyd1c-w;nac(2t4 tion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following position versus tim1gvk8mg jc9 jk b2o93je equation:9moc jj13gjk8b9 2vgk
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the2adfaaou18vab (s8f. free end of a spring executes simple harmonic motion according to the equation2savu daa(81.fb 8afo $y = 0.50 \; \sin (18\pi \times t)$ 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 of7olfky0/ih lmwc(fc(z 8p 2m+ 20.0 N/m oscillates on a horizontal, 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 cmil0wm kfpfhc(c7(y28 o m/ lz+.)
(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 ydn8k ;g ) * s(o+kq)saq;dze*mcp(x cin 8.0 s. (a) What are its frequency and period on Earths*d;xp8z;kgyq)( oec+ )q(*nkds mac ?

  A 3.00-kg pendulum is 28.84 m long. What is its period on Eas-8f*cx3syc xuwh+0bl xw5e)8,w ci r rth?

  A pendulum has a period 0x z6n;lz g7j;4ou4mpgxh v .(bb zop)of 2.0 s on Earth. What is its length?

  The pendulum of a grandfather clock is 1.0 m long. What is its period on the tfuq4*n*u 4a aEar u*u* n4fa4taqth?

  The pendulum of a grandfather clock is 1.0 m long. What is its981jlfs hjqilu zu(50o (2qf h period on the Moon where th5f h1uj9olhqu 8jf0 il2zq s((e 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 massljd sh+uqdw5 11b8qu3bess 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 thqswq8b dbu3d 15+j u1he string instead?

A simple pendulum consisting of a 20-g mass has initial angular d2fx qqb(0 4gcwisplacement of 8.0e. It oscillatesqw gf2( 4xqbc0 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 freque1hz lk0hvk1c k qfqg3-aq/x80ncy of the wave is 120 Hz. What is t8/kf0qzk3 g a cq-q1h1 hlx0kvhe amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given timev40+ z )cu6u t)ylrdgh. The frequency of the wave is 120 Hz. What is the wavelengt4+v)6g0yuz uh c)ld rth?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency of the zxqf46x)k)td )a hpa.wave is 120 Hz. What is the wave speed?q)txa 6.)p4x z)h kdfa

  What is the frequency of a wave which has a period of b3 7:wugirn k3n8(abm6.00 ms?

  What is the period of a wave with a frequ wc e8*f6mhkavnd j ,55t)ree1ency of 1500 Hz?

  What is the wave speed if a wave has u .l,jmdbmx ,2z 0dqo4wvv5,ia frequency of 12 Hz and a wavelength of 3.0,bd .z4 , um0w5mdv2qxjv,oil m?

  What is the velocity of a wave that has a wavelengd2p17o wkjabeg ko)y /*9l.pj th of 3.0 m and a frequency of 12 Hz?yd/b) . 1oae*jw9k7jpp lkg2o

  What is the frequency of a 2.5 m wave traveling at 1400 / r8uue;n9p3qbg znjay63t a(6 kmjy0m/s?

  A piano string of linear mass density 0.0050 kg/m is undergg:8 z0ak) uf,cd4hs 3mud0az a tension of 1350 N. What is the wave s0g8 ahz)z,c 0msfa4:kud dgu3peed?

  A string of linear d6 x7 eaidehti0dy7/wf6j9vz 8fao ( n6ensity 6.0 g/m is under a tension of 180 N. What is the velocity of propagation of transverse waves along the string?za( n9 6o8 ye 7dhi6a7xe6fvf/iw0jdt

A wave whose wavelength is 0.500 m is txnhj, zrw;u m)mk8m-d -1 , x9ffmc3otraveling down a 500 m long wire whose total mass-3,u1w8cr) -fn9hommjtx ; km,f zxmd 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 long string fixed kktk;+qw2, 9gwx-pe oat both ends is 200 m/s. Which one of the following is not a res9, kg t+pw-;ekq2owkx onant frequency of this string?

  If a guitar string has a fundamental frequency of 50f ax8dj+wyyww nn//020 Hz, which one of the following frequencies can s 0 x +/8wwajfdn2y/ynwet the string into resonant vibration?

  A stretched string is observed to have four equal segments ichte5*i( q) ckm/o/iz n a standing wave driven at a frequency of 480 Hz. What driving frequency will set up a standing wave with eii5cho t/c/k mq()z *five equal segments?

  A string, fixed at both ends, vibrates at xa6rm 18a8.k6 1cl7vgus yk 9a-e39murqwtpd a frequency of 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency is needed if the standing wave pattern -krte gr6 1ammk3.acvw9898 6 7pu x1qyludsais to contain 4 loops?

  A string of linear density 1.5 g/m is underp-b4 gdeou)5 yjm+f j. +ggc7h a tension of 20 N. What should its length be if its fundam4 g ggbhfcm.o)+dje5 jp+yu-7 ental resonance frequency is 220 Hz?

  Find the first three harmonics of a strin;d -pusoyc9a(p v:-t bg of linear mass density 2.00 g/m and length 0.600 cb ppod-:ys; 9uavt-(m when it is subjected to tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. When th y*4/pbog kuwcfl,b7y1q)7 eae string vibrates at a frequency of 85 Hz, a standing wg1/bpkqo7b,yf4)y ul*7e a wc ave 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.