The time for one cycleq n 4)x1komsm( of a periodic process is called the

  For a periodic process, the number of cycles per unit time is f9gd ypzml 5ayaaf5)dj 1c )98called the

  For vibrational motion, the maximum diahmh:my.scfy g,58 0m6 1byemsplacement from the equilibrium point is calamhs5c. yf:ygm8m,e hb610ymled the

  A mass on a spring undergoes SHM. (dk v:auue/lva p :68e When the mass is at its maximum displacement from equilibrium, its instantaneoul:8p vu :/u(va kaede6s velocity

  A mass on a spring undergoes SHM. When the mass passes pu e5 k7y-dvtziqhj0 xn7 c8*-through the equilibrium position, its instantaneoen -p*c zj5k07-q7vhdx8t yiuus velocity

  A mass on a spring ue:o-s.4ayg woh(mr-y ndergoes SHM. When the mass is at maximum displacement from equilibrium, its ino-: .(-y eogarwh4m ysstantaneous acceleration

  A mass is attached to a vertical spring and bobsix: ho72bmym boj9o :, up and down between points A and B. Where is the mass located when its kinetic energy xo,i9 bo7:mb :j2homyis a minimum?

  A mass is attached to a vertical spring and bobs 3w; n xze*mrkjr wh.:4up and down between points A and B. Where is the mass loc;ww4rz*m.n e :3jhxrk ated when its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up and down betwee6uo jukhr6;9tc+r p6sn points A and B. Where is thep c6+s9ru66o rhk;tuj mass located when its potential energy is a minimum?

  A mass is attached to a vertical spring and bob mxnz7h:m9(odn (dw0avu1ql/s up and down between points A and B. z( :9wamdodumh1 q/7n( 0nxvlWhere is the mass located when its potential energy is a maximum?

  Doubling only the amplitude of a vibrating mas til6+drtf bb *u++*aws-and-spring system produces what effect on thew*i ab ++rt6bt+udl *f system's mechanical energy?

  Doubling only the mass of a vibrating mass-and-spring system produces whaqn,th3q emd bwaq)03-t effect on the system's mechanical ener-qn0b3,3t wq ahq md)egy?

  Doubling only the spring constant of a vibrating mass-and-spring system producd2 ecglmsv3+3r 6g tg8n;tsz ;es what effect onv63 sg+lc sg8;m 2;ed3tngr tz the system's mechanical energy?

  A mass oscillates on the end of a spring, both on Earth and on the Moo tbbf48 0f- e(d7qic;trmyoe9 n. Where is the period theo 09 (fedqr7icebmb4y -ttf ;8 greatest?

  Increasing the spring constant k of a mass-and-spr:lr5 ru46aodxing system causes what kind of change in the r4l or ua65dxr:esonant frequency of the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system causes m0sbmw(d sho1 -9nt-awhat kind of change in the resonant frequency of the system?-a m(0 sds-o wnh1bmt9 (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system causes whae( bc (ap)d0qnt kind of change in the resonant frequency of the system? (Assume no other changes in the system.0c ((ea bn)qpd)

  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 weightless string of lengv()63 rrxm vkzth Lr3)zkxv(r m6 v. For this system, when undergoing small oscillations

  When the mass of a simple pendulum is tripled, the timnvs(45sm+ ;mub+pnn qe required for one complete vi+5 mqubnssmnv+ p;4n(bration

  Both pendulum A and B are 3.0 m long. The period of A is T. Pendulum A is twi8l of:ripi ig1,uu)22 r sr9uzce as heavy as ri12 8suo l9, )zu :rfipu2irgpendulum B. What is the period of B?

  When the length of a simple pendulum is tripled, the time for one complete vj 5.arnl0ub-yibrationu nybjl- ra5.0 increases by a factor of

  What happens to a simple pendulum's frdzr 2 ifxpmy8 ;/xog0+equency if both its length and mass are incrmz+;p 8dx2y/xigo 0f reased?

  Simple pendulum A swings back and forth at twice the frewf9xegav bof-frh;k2 ki, 28: quency of simple pendulum B. Which sf2bg: r,- o;h kf8xk2ewafv9i tatement is correct?

  If you take a given pendulum to the Moon /abvvn -59ufhso y7 1ab*sc*e, where the acceleration of gravity is less than on Earth, the resonant frequency of th1savos -vbe* 75f n b9h/*yuace pendulum will

  Curve A in Fig. 11-1 repr jj f uk;wr/la.*n1a+yesents

  Curve B in Fig. 11-1 representsykzp u1uf m u3: /qo9w,bx:fa.

  Curve C in Fig. 11-1 represe )jvnu9z va40ctj(ha)nts

  For a forced vibration, the amplituun,xy-de(2ixkz 8-qe de of vibration is found to depend on the

  In a wave, the maximum pa avwvh) s*9-displacement of points of the wave from equilibrium is called wp)vh-*asav 9the wave's

  The distance between successive creste,u+ 3i 7umcyo --safqs on a wave is called the wave's

  The number of crests of a wave pasq dhw*) vgx4f.sing a point per unit time is called the wave's hvdg.x*w q)4f

  For a wave, the frequency times the w)1l1 (7q zyk2y7 nd8tqfbx8oanr/plwavelength is the wave's

  The frequency of a wave increases. What happens y *rd iuy- wvcbn /95.alfa0o:m7ka3lto the distance between successive crests if the speed remains clc0d onuka a :y* w.r3-7amb9/ lifvy5onstant?

  A wave moves on a string with wavelength l and frequency f. A second i ihvvzh)((s3xb;/mr wave on the same string has wavelength 2l and m;shrzbvxiv ( hi )/3(travels with the same velocity. What is the frequency of the second wave?

  Consider a traveling wave on a string of n er-.1uhm (iulength L, mass M, and tension T. A standing wave is set1 m(-uurineh . up. Which of the following is true?

  A string of mass m and length L is under tension T. The .:6kq.s// goxpt 1vr ixldtvcly*ut,gk( 0 v3speed 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 2mk(lgqi:y.v. *o su p/10xv/ x63gkdv,ctr tt l, with no change in length?

  A string of mass m and length L is under t yly*ekeypx *o +md pjki0bte20)k.(,ension T. The speed of a wave in the string is v.*ypdl, y(jybe 0)o+.2 pek*kikext 0m What will be the 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 speedh,1c og/l8v hr of a wave in the string is v. What will be the speed of a wavhg/ ,l cov81hre in the string if the tension is increased to 2T?

  In seismology, the S wave is a transverse waveb+sv,o5f jm)p. As an S wave travels through the Earth, the relative motio j5sbp,vfom +)n between the S wave and the particles is

  In seismology, the P wave jmjf;*5x xz)hav ; rm-is a longitudinal wave. As a P wave travels through thef -mm5x*hjxa;zj v )r; Earth, the relative motion between the P wave and the particles is

  The intensity of a wave k6/ lg7kdw;x /l38vse u6cuby).yea eis

  A wave pulse traveling to the right along a thiig +ndj p/lw 59 nl9u8b,uhn f(7kfv7kn cord reaches a discontinuity wh pn/i9kl5g9hu (nvku8 b7,jwdfn7f+ lere the rope becomes thicker and heavier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each othe ixgqle(vlw14fl.j /j0r*qs7 r on a string, one is traveling toward the right and the other toward the left. At the point that theyvql*. jlgfwq1es i/(l704rjx occupy the same region of space at the same time

  Two wave pulses pass each other on a string. The one tr7 b3( ak0gq9debyk:fiaveling 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 that they occupy the same region of sp0 ba( qydg7i:f9 eb3kkace at the same time

  Resonance in a system, such as a string fi)uv fp3g 1ziy:o e6:crxed at both ends, occurs when

  If one doubles the tension in a violin string, the fundamenta.8e9 ; b3 srsksqkahk(l frequency of that stri3ab9sqhks rk8;(se k.ng will increase by a factor of

  What is the spring constant of a spring that stretcg(0wd5km bs a :4p buv6izd1y+hes 2.00 cm when a mass of 0.600 0bmuby+dk1i (5w6: azvs4gpd kg is suspended from it?

  A mass is attached to a spring of spring constant 60 N/m along a horizontsc*c qq( cmy16al, 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 eq6mcc1 y(q*q csuilibrium position when it is oscillating. What is the amplitude?

  A mass is attached to a spring of spring constant 60 N/m alw 1q )tb( du 81-iiuqyux9hn)sxtk( e5ong 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 o1(8q x-uu5 e is uw)h(i1nytqx k)tbd9f oscillation?

  A mass is attached to a spring of spring constant 60 N/a)zxs ,vd;95xjj/ o z8vuq0se 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 ijuv8xjao/;v,qd0 ze xssz95 )t is oscillating. What is the frequency of oscillation?

  A mass on a spring undergoes SHM. It goes through 10 complete oscillations 5 .(9ysbu orpfin 5.0 s. What is the peri. ybp(our9s5f od?

  A mass vibrates back and forth from the free end of an 5u pj6s-6r+9y+rlj p lccc0a tideal 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 equilib+j60trjlya9-lpu + 5cc srcp6 rium position?

  A 0.50-kg mass is attached to a spring of spring constantty-axm -2 qp,(/gmy kr;ru-xe 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 equilibrium position. What is the total energy of the u-xt;rp-2r (e-/ymkx aqm, g ysystem?

  A mass undergoes SHM with amplitude abz po9bh8,kq0 3q5u nof 4 cm. The energy is 8.0 J at this time. The mass is cut in half, and the system is again set in motioqaqbokp z3,08b 5n9hun with amplitude 4.0 cm. What is the energy of the system now?

  A 0.50-kg mass is attached/xzkn ls(shi3zw13t 1o d. qh9t7i.os to a spring of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple ha kh 1. sissti zo3oqzl7n9t/xdh(1.w3 rmonic 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/5a v9fz)z(ok uat-zq.m along a horizontal, frictionless surface. The object oscillates )5f vzou- aq.zk 9az(tin 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 the4 4tkgrlhqmj c. xr1bs 3k.2b2 end of a horizontal spring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the total mechanicalcb.mx24 1sjh3 kt4rqg.b k2rl energy of this system?

  A 2.0-kg mass is attached to the end of a horizonta*a*caekbt(pl- g n/o,1refz*l spring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is tt,*rpf kn*1/a-a(ce zo ge* lbhe total mechanical energy of this system?

  A mass vibrates back and forth from the free end of an ideal spring of spring 1vgd iolrit55+w: +ciconstant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kinetic energy of this vibratingici5w5 r1 l++vd io:tg mass?

  The mass of a mass-and-spring system is displaced 10 cm from 9vx+6y )ej ;xsctq l9nits equilibrium position and released. A frequency of 4.0 Hz is observed. What frequency would be observed if the mass had been displaced only 9x9ln; 6vqstx+)eycj 5.0 cm and then released?

  A 4.0-kg object is attached to a spring of spring consta u qtya+pt8;nglo hc :7kn(*6knt 10 N/m. The object is lnck tg n:8uaqt;*y6o+(p7hk displaced 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. The obj -ni7 .4g szkr5wrpjz5ect is5ni47rr5jspg .wkz - z 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 co ugs-.) sy 46w5osg fii9hkdrsb,,a(g nstant 18 N/m, displaced slightly from its equilibri .,,if9bi hdgy-aougsk ws(s 4sr6)g5um position, and released. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequency of 1.27 Hz ca )ib h7x,-v.z)u62wq* ltkrzo; wjj when displaced a distance of 2.0 cm from equilibrium and released. What is the maximum velocity attained by thewbk )cvu* a,zt x7 qzwli j;-jo2.hr)6 mass?

  Two masses, A and B, are attached to different spry44 npywq(q54vw/-yo 1nbe u fings. Mass A vibrates with amplitude of 8.0 cm 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 sbnnyqv44f 4 -5 eo1w (wqpuy/ypeed of A compare to the maximum speed of B?

  A 0.30-kg mass is suspended on a spring. In equilibrium the+hvdny(. s+qm .6 rfeo mass stretches the spri veom.+.6sh qd+( nyfrng 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and released from rest. Calculate the period of oscillation.

  A 0.30-kg mass is suspended ol :ylgo p0*ea*r;2wc 9:fnhfvn a spring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass i*rano:lgffl y* c:ep 9;w0 vh2s then 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 mac0n: jqvj9uq 2ss stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm 9 jcunq0jv2: qdown and released from rest. Write down its equation of motion.

  An object in simple harmonic motion obeys the following position versu -x2vidv rs*njw-r1*us time equati1*uv2jvs-drw*xni r- on:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motix3cockh kgt; .(npy/:of q*e+on obeys the following position versus time equationygfhot q3 x(* +:k/encock;p.:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeyscgi2 rklr f;in7g-6 ezn1xg)( the following position versus time equatiirekx6i)g clfn; ( g2n 7zgr1-on:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a springy)+9vbf q(grmru3zxj n,kltx/0 b2 k: executes simple harmonic motion according to the equatio,rjk)bfx9krvt b(g 3q2z:/ n+u0lmyxn $y = 0.50 \; \sin (18\pi \times t)$ where y is in meters and t is seconds. What is the period of vibration?

A 1.5-kg mass attached to spring withoxt u-jkuvq 9t4s8x 51f:km 3b 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 cm. (That is, the okbj m89 xq:-f5x t1vuu43kstspring 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 sk4upr vus/fz+ w(37g kwings in 8.0 s. (a) What are its frequency and period uwk374fpsv (/kg ru+ zon Earth?

  A 3.00-kg pendulum is 28.84 m long. What is its period on Ear9pfe b/tf .8with?

  A pendulum has a period of 2.0 s on Earth. What is its lengb9 r 4ike8bq.zth?

  The pendulum of a grandfather clock is 1.0 m long. What is its period on the Eaqu+;d/n;ft ihr+fd;u i/;hq ntth?

  The pendulum of a grandfather clock is 1.0 m long. What is its period4m7j+ - dnvh9 6mspwl,um;rif on the Moon where the acceleration due to n vmd j7wif,m6;mlh4 u+-9sprgravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical m o d7 n ;qp81t/nt am,ffyt0pcc7iyb*:ass 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 0t cytc0;ty oaqfm7 7:nn* 8f1ibdp/p,.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 dispdm s*sc9ic +/bm8s ar(lacement of 8.0e. It oscillates with a period *di+ms /rcas9(b c8 smof 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 frequenc6thtowd52 4k xi 4br(cy of the wave ibttoc w5(426hi dr4kxs 120 Hz. What is the amplitude?

  Figure 11-2 is a "snapshot" of a wave at vm21w5.(9bjksz u5lk5wyconsb 6n umt9 g7i9 a given time. The frequency of the wave is 120 Hz. What is9 (5w t5bwu bcg9 5jkmz .7lnsoyik61vnm92us the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given time. Th,.: qpu9ohxi 0occ8v(tl ids(e frequency of the wave is 120 Hz. What is thox:9spo 8i(iucclqh, (v 0t.de wave speed?

  What is the frequency of a wave which hmbko6z a.e57+dh3t2 s/gs rx pas a period of 6.00 ms?

  What is the period of a wave wiphet*i )p 9kaalnon 5gr09 d8*,dpg p3th a frequency of 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz a-jv(5cc jqt1)f/e:mp,frmv o+z5lgq nd a wavelength of 3.0 cm lc)5 vf5j /qfpjemzgqt1+(:o ,v-rm?

  What is the velocity ew4/bcec4ak8mf1,y rof a wave that has a wavelength of 3.0 m and a frequency of 12 Hz?y4 ba1ke r8w c,m/cf4e

  What is the frequency of a 2.5 m wave travel 1qi; jh3-+hugtcgi;ging at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is under a tension of 1350 l*v4xf9+sr-pocb y g6o4x c4xN. Whpg*cxovyx +44lb4 9c s 6rfx-oat is the wave speed?

  A string of linear density 6.0 g/m is under a tensi,zu;m 5n 5bldkf(pk(c on of 180 N. What is the velocity of propagation of zck,5;b m( plk5fnd(utransverse waves along the string?

A wave whose wavelength is 0.500 m is traveling-jneyl ,40zocyjt 0e/ down a 500 m long wire whose total maje/0,nj t-l4 0 ceoyzyss 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 ahc)/)sz b gr6d+uo7 cat both ends is 200 m/s. Which one coz7s6bg)+dch )aur/ of the following is not a resonant frequency of this string?

  If a guitar string has a fundamental frequency of 500 Hz,w gec,h.keq nnj ,c.2o09br :c which one of the following frequencies can set 2reqok .. gn0: 9j, ,hccnwecbthe string into resonant vibration?

  A stretched string is observed to have four equal ssp3 r:d yh p 1,4nqrcc,.y0owav5xyc 8egments in a standing wave driven at a frequency of 480 Hz. What driving frequency will set up a standing wacw 1va4ycn.8 p3pry05 hy,:sorx,cd qve with five equal segments?

  A string, fixed at botnh*a62a qmt .dz4ylc 8h ends, vibrates at a frequency of 12 Hz with a standing transverse wave pattern containing 3 loops. What dtm84l.yq6*a nz2hac frequency is needed if the standing wave pattern is to contain 4 loops?

  A string of linear degu )zsj-c r c 70z.r+ddd;rm+nnsity 1.5 g/m is under a tension of 20 N. What should its length be if its fundamental resonance frequency is 22cr+s 0n dzrg-drc+u m;dj z)7.0 Hz?

  Find the first three harmonics of a string of linearyw*1*p/+jinl9ta2cido 0bh +g +d n pm mass density 2.00 g/m and length 0.600 m when it is subjected to tenh*dja+ d1intoi2ym/+w gp* bcnp l9 +0sion of 50.0 N.

A string of length 2.5 m is fixed at both endsspk i1 )v)uf3a. When the string vibrates at a frequency of 85 Hz, a standing wavi )k)13ua sfvpe 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.