The time for one cycle of a periodic process isgij np/;xa6 ,t called the

  For a periodic processv6/q/. -+/l izmv y1/ blvi8dowoiyzr , the number of cycles per unit time is called the

  For vibrational motion, the maximum displacement from the equilibrium point is c)7s0oklgft/ y z9s2pralled s0l9sk 7z ro )gpfyt2/the

  A mass on a spring undergoes SHM. When the mass i uti.u 8nq4fa7e-0oddjm a7y+30gtygs at its maximum displacement from equilibrium, its instad0u y 0jmg aey77tdnqgfito u.+84 3-antaneous velocity

  A mass on a spring unde*3b qck 9a /kqfpyq51zdbrlg b6 7/q5yrgoes SHM. When the mass passes through the equilibrium posit zl9531bk/ *qcqybg6 / pkabyfd q57qrion, its instantaneous velocity

  A mass on a spring undergoes SHM. When the masss7-x4ys ,/ kjehobf4w-9xu os is at maximum displacement from - x4/boyjs, xo 4esfuks-9hw7 equilibrium, its instantaneous acceleration

  A mass is attached to a vertical spring and bobs up and down between poilj 3mdv64)+a o y0jgxents A and B. Where is the mass located when its o djm)j4+v0le gxa6y 3kinetic energy is a minimum?

  A mass is attached to a vertical spring and bobs up andia4b-/efp ye,fg4pdo g3 :ap7 down between points A and B. Where is the mass fde - g4p, oiaf4/aep:3g7 ybplocated when its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up and down between points A anmtpj xv/ 7pu/)d B. Where is the/p)vtmuj px7/ mass located when its potential energy is a minimum?

  A mass is attached to a vertical spring anx cf/ cuew/i0*d bobs up and down between points A and B. Where is the mass located when its potential energy is ax /u/ iw0e*fcc maximum?

  Doubling only the amplitckd,d.wwzfc ev.8lj; us-:* dude of a vibrating mass-and-spring system produces what effect on the system's mechanvskl je -. cfu8,;d dd*.w:cwzical energy?

  Doubling only the mass of a vibrating mr6h /j;)vx3u:ve zh meboj /q-ass-and-spring system produces what effect /j-br 6e e/h;ou3 hv zxjvqm:)on the system's mechanical energy?

  Doubling only the spring constant of a vibrating mass;e ,dp/he0/ p 0ohhmlx-and-spring system produces what effecthl p,e0p /d /hxoeh;0m on the system's mechanical energy?

  A mass oscillates on the end of a spring, both on Earth and on the Moon. Wll 9;g4v/jg 4y)n6mcn 8y c)xvt6lhl there is the 48y6n;t4x6lv y)v )lct/hj9 cglnm lgperiod the greatest?

  Increasing the spring consta0edbt *3gxe o/nt k of a mass-and-spring system causes what kind of change in the resonant frequency of the system? (Assume no change in deegx3*tb0 o/the system's mass m.)

  Increasing the mass M of a mass-and-spring system causes wh x d (gh9k 5;6gnsdz,0r2pxnulat kind of change in the resonant frequency of the syssk2hxn,zl;p d5nrgd9u6 g (0xtem? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system causes what kind of ch:4) *u* iwkdlpe;g 6uum)bpye ange in the resonant frequency of the sy )lb u:ye weippdk);* 4ug6*umstem? (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;n xn 8c c8r556sb,/ jcubjt;bi,aodl6-wy ws a mass M attached to a weightless string of length L. For this system, when undergoiibunc x8 r st/;balcn58j6o,cy ; s-bjww65,dng small oscillations

  When the mass of a simple pepn+ b rdhyc.-2xv*u0z ndulum is tripled, the time required for one complete vibratx v0 n2-zu*b.dhcy+ rpion

  Both pendulum A and B are 3.0 m longzwc+*. c st8r9sx oj p;-s+eqp4 o2tpz. The period of A is T. Pendulum A is twice as heavy as pendulum B-op w+p 8j;*p9sq2+zxcrc otse sz4.t . What is the period of B?

  When the length of a simple penmtt18 dw47 a h9higvd-dulum is tripled, the time for one complete vibration increases bmi h1w g 8dt7dat4-v9hy a factor of

  What happens to a simple pendulum's frequency if both its length and mu: xtul,c*b: t6 vhka6ass are inb*6hkx: u :6ulcv,tt acreased?

  Simple pendulum A swings back and forth at twice the frequency of 1.8 al*f9yvrul uyqsrgqyemxvn l/7*r -5x( 5 simple pendulum B. Which statement is lm 1s5 l .nlqx-*7euy*r9q xv ry(5gfu8v/yarcorrect?

  If you take a given pendulum to t,gft;z4u8xjz;o :3bdj2gp 9i2 i bto whe Moon, where the acceleration of gravity is les4tzi :gz8f p;x;u 3i jobtwo2jg2b,9ds than on Earth, the resonant frequency of the pendulum will

  Curve A in Fig. 11-1 represen cs9n*z:ng0ijts

  Curve B in Fig. 11-1 repres8-0gxnd2wm mb r yh j uk,kq.qi;s12d2ents

  Curve C in Fig. 11-1 rep 187 sq yvefukc;;ozu+resents

  For a forced vibration, the amplitude of vibration is found to dep 0fb a5.pa xydlyf1:lin,t)(p end on the

  In a wave, the maximum displacement z*3bci+6 bup eof points of the wave from equilibrium is call36ub b ie+zpc*ed the wave's

  The distance between succes1ajt- z7zf 1che6x8assive crests on a wave is called the wave's

  The number of crests of a wave passing a point per rwg7 ;dx( le*junit time is called the wave'e* 7 gj;(lrwdxs

  For a wave, the frequencn i:r -qv(odpv5b39q wy times the wavelength is the wave's

  The frequency of a wave increases. What happens to thoi 2jrzs o 0,zwsg,*+me distance between successive crests if the speed remaiz0+gj *w2rzsms, o,oins constant?

  A wave moves on a string with wavelength l and frequency f. A se--4 i0oa(74 yzr6lh0 psodqsxhf rh.ocond wave on the same string has wavhyq0 o6f0o(zh r7o ix-sr-a4 shdp.4lelength 2l and travels with the same velocity. What is the frequency of the second wave?

  Consider a traveling wave on a string of leng9 twj)r.+ma,r.mfxi r th L, mass M, and tension T. A standir,it +rwj..m x9fr)amng wave is set up. Which of the following is true?

  A string of mass m and length L 8i (tqmucxuu7-9id 0jis under tension T. The speed of a wave in the string is v. What will be the speed of a wave in the string if the mas -8t umqixuu (ic097jds of the string is increased to 2m, with no change in length?

  A string of mass m and length L is under tension T.vd6)vem :y d,jte18s e The speed of a wave in the string is v. What will be the sp6ve1):d 8etmeds j v,yeed 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 spea.f2x)ugsbd;i;jy, cmt 9, a eed of a wave in the string is v. What wib; gem.,2u9ydfx) t,icjas ;a ll be the speed of a wave in the string if the tension is increased to 2T?

  In seismology, the S wave is a transveonk2y3+epq cged,3s0b) p zl1 rse wave. As an S wave travels through the Earth, the relative motion between thec2kegon,pqp)3z0bdl+e 3y 1s S wave and the particles is

  In seismology, the P wave is a longitudinal wave. As a P wamt 7 sv474gcyabg0id4 ve travels through the Earth, the relative motion iydta7s0gv44 7gc 4 mbbetween the P wave and the particles is

  The intensity of a wave i1jy)db96b qnxjmv l4 9s

  A wave pulse traveling to the right along a /,xgjsr42 u.sn vq3npthin cord reaches a discontinuity where the rope becomes thicker and heavier. What is the orientation of the reflected and transmitted pulses23 r/.4,uvnnqgjx ssp ?

  Two wave pulses with equal positive amplitudes 5b5qstlr- xv.eo-s v, 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 samelse.5tvrxq-5bov s,- region of space at the same time

  Two wave pulses pass each other on a string. The one traveling towardeu,f/h0 y.me e9f( k8a:gvdjh the right has a positive amplitude, while the one traveling towarda9 8dm0e.gj:uhye/( vehkf f, 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, such as a,lx66bz gwtpyqyxhb 1x w58 1) string fixed at both ends, occurs when

  If one doubles the tension in a violnfnp/u4 y9vk3d:f 9qpin string, the fundamental frequency of that string will increase bydkuvn 4p9n3fy:/q 9fp a factor of

  What is the spring constant of a spring that stretches 2.00 cm wheoous/w7 hsn),zy+cx4n a mass of 0.600 kg is suspended from it?ho7n oxuzs c y/w),s4+

  A mass is attached to a spring of gnp2 /bj8vg+g)nqyo ,spring constant 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 8ngn2 b/qy+gv)go,jp 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 constantwrxf * ;db//j* qwccg. 60 N/m along a horizontal, frictionless surface.*g ;xcwd /.qrcw f/bj* 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 constant 60hbne(avw +q)42(t(i tsvbka+in :j3u0l 6clr N/m along a horizontal, frictionless surface. The spring is initially stretched by a force of 5.0 N o+j6q4(at+3alklh(wi) ies r t cnbnv2b: vu 0(n 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 r7s ui(v-bxy:through 10 complete oscillations in 5.0 -y:vi7 xrbus(s. What is the period?

  A mass vibrates back an okblo 9 u 5;c(tl p.ypu5n6xc8jv*uv1d forth from the free end of an ideal spring of spring constant 20 N/m with an y8l u.1xbpuo9(v6*cu;cpl o 5nkjv t5 amplitude of 0.30 m. What is 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 alonotvc (.::5j ef f*rousxu;vb.g a horizontal, frictionless surface. The object oscillates in simple harmonic mot:u fs(ro5u*:;.ve ofvcx jb .tion and has a speed of 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 af )e/ybswclt b5:mt;g(.thgo) 9p cg0t this time. The mass is cut in half, and the system is again set in motion with amplitude 4.0 cm. What is the energy of the system nowlec:yscp;/h)t fo gt) tbm(b.w5 09gg?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m aloneyxs)6/ htwc (q+rojv())e t vg a horizontal, frictionless surface. The objc r hwxy) tet6v(+))(o/sqevject oscillates 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 along a horizo2 s .vddck-;olntal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s at the equilibrium position.do cl;v-d2k .s At what location are the kinetic energy and the potential energy the same?

  A 2.0-kg mass is attached to thenf p n.71qmx+k 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 mfnq+xm 7pn1.k echanical energy of this system?

  A 2.0-kg mass is attached to the end of a horizonc0 ,;lbf0rn 6tcs/zfjtal spring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. Whacl fjr; /s6fb0n0,ztc t is the total mechanical energy of this system?

  A mass vibrates back and forth from the free end of avnr- o:76 zv4 s6fsppmn ideal spring of spring constant 20.0 N/m with an amplitude of 0.250 m. What is the ma6ss4vmo7p:p-frvz 6 nximum kinetic energy of this vibrating mass?

  The mass of a mass-and-sprinxkna/n w::m1 mg system is displaced 10 cm from its equilibrium position and released. A frequency of 4.0 Hz is observed. What frequency w:k1x nna/w :mmould be observed if the mass had been displaced only 5.0 cm and then released?

  A 4.0-kg object is attached to a spring of spring constant 10gl+v d 8t.j)g5p:jqjj N/m. The object is displ.j+5gq 8ltvj)jd : jgpaced 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. 1ml+e.8nw fdi The object is disp di1mn+lf8 we.laced 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 cons fr/xio5q z)3vtant 18 N/m, displaced slightly from qf5)/ orixvz3 its equilibrium 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 when cn.f )eezn/ q3displaced a distance of 2.0 cm from equilibrium and released. Wha3e) .z fn/cqent is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to diffj(xyr-)60 e/ibo okryerent springs. Mass A vibrates with amplitude obok0x6jy - oei)r (/ryf 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 speed of A compare to the maximum speed of B?

  A 0.30-kg mass is suspendevn;j;m 9p:b;6vkny):d qap osd on a spring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an :pop;:;sb q)yn 9vavdk; jnm6additional 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. Ip +(ouw7nu91 r/kyst on equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down 1 wokn 9(yr+ot7supu/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 stretches pft li 6smhc.yx/gcgu4oo b3jo7q q **9::*o lthe spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and released from rest. Write down its equationoy7*sghmlx*o p.c::g/jo3* fi utoqcbq 6l9 4 of motion.

  An object in simple harmonic motion obeys t6b e+ -jcj+ozxhe following position versus time equatieo6jxc +b z+-jon:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmk8w( leb;md b1onic motion obeys the following position versus time equ kbd;blew 8(1mation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following position versus tizc,w+c 2 bhul4me equation2bhc uzlc+,w4:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simpl1x il pl zca(b.5r53pye harmonic motion accora5p1zry.xclplb 3i(5 ding to the equation $y = 0.50 \; \sin (18\pi \times t)$ 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 hng1;g,lu 5ytpv aq5,N/m oscillates on a horizontal, frictionless track. At t= 0, the mass is released from rest at x=gn;tgqa,p 1,yvl5 5uh 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 frequency and p a(4wxm41llhd0dnoay g 7.n4teri4n4dt a1n gxo a70dlmh(. ywl4od on Earth?

  A 3.00-kg pendulum is 2kkpor23 pz4 kwleda-9 2ue)z*8.84 m long. What is its period on Earth?

  A pendulum has a period of 2.0 s on Eaem/ gwqf9yhlksf( - 7p:w.qsxro2.: drth. What is its length?

  The pendulum of a grandfather clock is 1.0 m long. What 4o9d8min.x+m +/ hxz:3 nfoy,lc thox is its period on the Earth?c9x olzn:8x+ho3,ifh .x m+m/ytd o4n

  The pendulum of a grandfather clock islaqudj)207r2 l ha-+bqp rq 2lwr(b0 h 1.0 m long. What is its period on the Moon where the acceleration due to gravity iq0qju lh-a2w2 bb )q(l2dh r7prr+la0s only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spheric9/ )g z7h8l(c/qtqrsrvdo f v*al mass attached to a massless string. When the mass is displaced slightly from its equilibrium position and released, the penduo lh/cz7gdstqr/8 (rv 9vq f)*lum 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 szpcyc 7p/pz5n6 u-iac m* j7.has initial angular displacement of 8.0e. It osciup776jzp5i *y/am .n c-cscpzllates 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 "snh upp1 48rpob 5/ds 9i,hnop,,vtb,ylapshot" of a wave at a given time. The frequency of the wave is 120 Hz.u1 pr n4 h,,d9bpb5p/yt poois8,hl ,v What is the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency b )fh l28d3snmof the wave is 120 Hz. What is the wavelengtl832fh)nmb d sh?

  Figure 11-2 is a "snapshot" of a wa/ yuih30nc-bg 7pb0gakrr7 9sve at a given time. The frequency of the wave is 120 Hz. Whatun/7b hyirskp 07039 -gcbr ga is the wave speed?

  What is the frequencych1x r(*cos k-;i(cvg of a wave which has a period of 6.00 ms?

  What is the period of a wave with a frequency ft 4cmb, lm.j*si*f8yyx y iqa5)e5r(of 1500 Hz?

  What is the wave speed if a wave has a fr6wgh, /;ert 0xrf9+-wpgq nij equency of 12 Hz and a wavelength of 3.0 m/iernqgwhp,0tw ;+j fx6r-g9?

  What is the velocity of a wave that has a wavelength of 3.0 y .pfw i:tm-ruyh; e9e-d2.lc m and a frequency ofy;. cw:y .-h ur 9e-dem2tlpfi 12 Hz?

  What is the frequency of a 2.5 m wave traveling- ,xnh gmfv)/s at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is underv)krs 5a s qwm;ktf.-go27x-b a tension of 1350 N. What is the wave speedmaw;v g-k7 rt.q5s)skb 2-fox?

  A string of linear density 6.0 g/m,:q2p naoj 2t5toml w4 is under a tension of 180 N. What is the velocity of prot 2, mnaoj:4ptlow5q 2pagation of transverse waves along the string?

A wave whose wavelength is 0.500 m is traveling do kmcm 7( zfsuilh;r7znlfm3.484r/qj wn a 500 m long wire whose total mr ;j .szf 87mrulk( mlinq7/fz34ch4 mass 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 propagw6y 3zgvio3hf 2 qf+v(85lbe7,wts x tation of a transverse wave on a 2.0-m long string fixed at both ends is 20 fezgf56owtbq(t lv8w2vyh+x, 33is70 m/s. Which one of the following is not a resonant frequency of this string?

  If a guitar string has a fundamf/ *tvj+wzcylg+y29+;bc,qd hdk ( wmental frequency of 500 Hz, which one of the following frequencies can set l*y+(vtdj/c 2; +dkfg,zw+ wqym9ch bthe string into resonant vibration?

  A stretched string is observed to have four equal segments in a standing 1em9vn0 asg-q2; 9oo;ek z( dwix(rogwave driven at a frequency of 480 Hz. What driving frequency will set up a standing wave with five eqo -2knsver;o;emq0o99( 1wd g iagx (zual segments?

  A string, fixed at both ends, vibrat0vopqgqk* *8d -qmx7jes at a frequency of 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency is needed if the standing wave patter8p7k0-v*qq mj* xgodqn is to contain 4 loops?

  A string of linear density 1.5 g/m is under ak su-)tcv (r8g*yzft)o 9o 6di tension of 20 N. What should its length be if its fundamental resonance frequecu dkz)t6o-8oivrt() f s *gy9ncy is 220 Hz?

  Find the first three harmonics of a string of liw85lo0(t-a 53d r sdmwx mbij1near mass density 2.00 g/m and length 0.600 m when it is subjected to tension of jlt53w da(m db8rxi0s om- 15w50.0 N.

A string of length 2.5 m is fixed at both ends. ooz;9j7a qa,c When the string vibrates at a frequency of 85 Hz, a standing wave with fiaco 9a;7qoj,z ve 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.