The time for one cycle of a periodic process is called th,cw nor-/ mxd6w;bvlt2- qf/xe

  For a periodic procelj3z 7s82 (gix8fzbb;bj rlx8c bhv,)ss, the number of cycles per unit time is called the

  For vibrational motion, the maximum d7i wj j-j3pw9xq ,rzs/isplacement from the equilibrium point is called-p3js x7wq zj/9iwj,r the

  A mass on a spring undergoekyso o1ivz 7l(uj)2m:k4dp /ss SHM. When the mass is at its maximum displacement from equilibrium, its instantaneous velocits74(1jmslk2dzi/o: vk) y up oy

  A mass on a spring undergoes SHM. When the mass passes th*bmn:q9ihf5z r 2lm,tf hooj+ml6 7.n rough the equilibrium position, its ofh o mmqbl+z7:9 flj6*hnr5nt .i2m ,instantaneous velocity

  A mass on a spring undergoes SHM. When the mass is at maximum dk ;4y tt*czonr )qa/b:8 yzmf5isplacement from equilibrium, its instazmt/ br t*y;:f 8a)kznq5cy o4ntaneous acceleration

  A mass is attached to a vertical spring and bobs up and dow3 8*2v xnj kt25bignien between points A and B. jen8t2 i3bv5n *xik2 g Where is the mass located when its kinetic energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down be6oy6(3mak) ops ncst4v-ddh 5tween points A and m4cpo-6t ka3h 5( y6ssv)ndodB. Where is the mass located when its kinetic energy is a maximum?

  A mass is attached to a vertical spring * 9sa-lcdb/ s.+oa knjand bobs up and down between points A and B. Where is the mass located when /l.js9s o na+ad- ck*bits potential energy is a minimum?

  A mass is attached to a vertical fd*m ,-jjuxg .spring and bobs up and down between points A and B. - m. *,dfxgjju Where is the mass located when its potential energy is a maximum?

  Doubling only the amplih a qluxbl::3v3 rcj08tude of a vibrating mass-and-spring system produces what effect on the system's meullab3q8rvj0hx 3: c: chanical energy?

  Doubling only the mass of a vibrating mass-and-spring system produces niv/y /a h9t;ewhat effect on the system's mechanical ener9 ve/ya in;h/tgy?

  Doubling only the spring constant of gt479*ek9js y2j vphi a vibrating mass-and-spring system produces what effect o i eg9*vsp72yhj j94tkn the system's mechanical energy?

  A mass oscillates on the end of a spring, both on Earth and on8qq klxcbg 9h+k 4co)e(z+sh: the Moon. Where (+gl+:ck8ec 4 hxq9 zhsobkq) is the period the greatest?

  Increasing the spring cons0j:d4 b v;al qb0i*fpntant k of a mass-and-spring system causes what kind of change in the resonant frequency of tpn4bdl*0ib q0f va:j;he system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system causes what ki; wks;3z;y-d6 fhsosrnd of change in the resonant frequency of the system? (Assume no changehszyw; 3 fk;ossr6;-d in the system's spring constant k.)

  Increasing the amplitude of a mass-anfd:mv(- g:kf ,* :i ,xyamhmged-spring system causes what kind of change in the rgkehd, -fg *a::mmv,fy :(xmiesonant 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 weightless str+vzfx)*bi.we+o:wc/ g8h klm:p 5 n ening of length L. For this system, when undergoing sm5/w xni8op e+*cgzfbv):.m: +wlkhneall oscillations

  When the mass of a simple pendulum is tripled, the time required for o3 ry-vsn,)u r /huai.odi2l y/ne complete vibrnda/y yu/ lrh3su,ov ri)i 2.-ation

  Both pendulum A and B are 3.0 m long. The period of A ifiz; m f94to6a /+fisis T. Pendulum A is twice as heavy as pffio;tfzsi/64 +a im9 endulum B. What is the period of B?

  When the length of a simple pendulum is tripled, the tfwv a) q8b-wub:mw9 )mime for one complete vibratiouq9f w-)m:bwav 8bmw)n increases by a factor of

  What happens to a simple pendulum's frequency if both its length and mpca i tham+hf:: 9t -hevv/-j8ass are incre fh-m+ : hecia:jv-tp98vht/aased?

  Simple pendulum A swings back and fiubk 2jpf8m2 ,orth at twice the frequency of simple pendulum Bk,upfmbi2j8 2. Which statement is correct?

  If you take a given pendulum to the Moon, where the acceleration of gravity is lx .qm 0 u*0*1iptreu.jyt7pc4wwog l-ess than on Earth, thj 0tr1i q*pl.wy4 mw.7g *e-0utu xpcoe resonant frequency of the pendulum will

  Curve A in Fig. 11-1 represet0yn 6th(ww/u x e3/bints

  Curve B in Fig. 11-1 kjmw4bj l+2- xrepresents

  Curve C in Fig. 11-1 represents jfky0bpo *; w hroo)ga/n05n9

  For a forced vibration, the amplitude of vibration is fog: uob wx2n;43g cn7ns/fr u0bund to depend on the

  In a wave, the maximum displacement of points of the wkhij:r d(,f/ zave from equilibrium is cal:i/rd ,hkf(j zled the wave's

  The distance between successive crests on a wave is called 7hf5aaq7psw8 2k(tt1mswm 6k the wave's

  The number of crests of a wave passing a poi,k l+mhso 32sjs uh+/knt per unit time is called the wave'3mo 2,hhssluk + /ksj+s

  For a wave, the frequenar2vnb 2/2dak 3r.h rdcy times the wavelength is the wave's

  The frequency of a wave increases. What haqi3yl f( 8zh0 z0tdnq+ppens to the distance between successive crests if the speed re(y8i dz3fq0z0nl h tq+mains constant?

  A wave moves on a string with wavelength l an ,lwii3f1yjz: *zd:b2 d. bpxsd frequency f. A second wave on the same string has wavelength 2l and travels with the same ve x*wi1 b3b :pdzfz ljiy,.2s:dlocity. What is the frequency of the second wave?

  Consider a traveling wave on a string of length L, mass M, and tensxa /;uvirjhe5/w)1r zion T. A stand w zr)1j/;h5 euxv/airing wave is set up. Which of the following is true?

  A string of mass m and lengq(pkkwgaqb;x; yk g 8f(m4t r1(t sx39th L is 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 mass of the string is increased to 2m, with no change in lengt;gk pskxy9twm(krq; gx(1 t 84qaf3b(h?

  A string of mass m and length opb0oh:f3kmtyoj4 : +L is 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 lenfkhj:mt:4 po 0o y3+bogth is increased to 2L, with no change in mass?

  A string of mass m and length8kzfnlr3li9u,8l f-5b5dv, y4zy ack L is 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 te9rnfl ,8dlyl-5y uz48 zk,i kafv 3cb5nsion is increased to 2T?

  In seismology, the S wave is a trx(ti3ttlape0i /3b5co.tcw. ansverse wave. As an S wave travels through th.i3etiob(/l t .x a5wttcc03pe Earth, the relative motion between the S wave and the particles is

  In seismology, the P wave is a longitudinal wave. As a nj.fl+1yd7qabcoo,w -exx 6/ P wave travels through the Earth, the relative motion between the P wave and the partic/c oj1.w-7+eb df,a q6lyxxonles is

  The intensity of a wayr0*)ubw d+ puaw;:ya ve is

  A wave pulse traveling to the right along a thin coo;: tt4x4ha zzrd reaches a discontinuity wht zo;x4htza4:ere 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 other on a stqk/93c2c;o.d,jeq 6kqcnd t sring, one is traveling toward the right and the other toward the left. At the point that they occupy the same r kqdqo;d kcqj2/9 6c.s c3en,tegion of space at the same time

  Two wave pulses pass each other on a strin eb239vy: 5o9e9t;uwa alzim ug. The one traveling toward the right has a positiv5zm92 uvy;ib weal3tuo 9 9a:ee 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 space at the same time

  Resonance in a system, such as a string fixed at both ends, 8.b+i1udkhif occurs when

  If one doubles the tension in a violin string, the fundamental frequency of thfvxc.uuw4 *pk: ,ckf*at string will increase by a facuk* *c: 4v,pkwfucxf .tor of

  What is the spring constant of a spring that stretches 2.00 cm g5)gz6ji rx4u .b/j l(vwd d40cqg xz,when a mass of 0.600 kg is suspe0l gj /4zbqc.)dr(xjv gw5d i6 ugxz4,nded from it?

  A mass is attached to a s23t-hwmhi. g0cq8jl h:zi/ti pring of spring constant 60 N/m along a horizontal, frictionless surface. The spring is initially stretched by a force of 5.0 N on the masswzhjhc.-gi2 3i tqmti8h /: l0 and let go. It 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 x j4vk kl/(qu 9:xx+oxr-t3 qespring constant 60 N/m along a horizontal, frictionless surface. The spring is initiax lkk -(o3xqxe/u:+trjv 9 q4xlly 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 sprin:l6zzbp,01eomvq lhtv861hh g 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 takes the mass 0.50 s to go back to its equilibrium position when it is osci1v6pl v h0,1ztlqeh zo 86:mbhllating. What is the frequency of oscillation?

  A mass on a spring und.c mx q8(xfih*0s mq5eergoes SHM. It goes through 10 complete oscillations in 5.0 s. W se85 x(xi*m0cqhq m.fhat is the period?

  A mass vibrates back and forth f 9)jwmo.a.bcc b yx+6arom the free end of 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 equi 6a..ox)ba 9+m ycjbcwlibrium position?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m along a horizor)w,db d v+n:yntal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s at the equilibrium position. What is bdr:n) v+d ,wythe total energy of the system?

  A mass undergoes SHM with ampn .5mlh+m6 bbglitude of 4 cm. The energy is 8.0 J at this time. The mass is cut in half, and the system is again se +5hnb lm6gm.bt 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 w, atzoxfc4e0yqmr0e*g t/ 83 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 posq0yetc0w *zo am8 /etx3gf ,4rition. What is the amplitude of vibration?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m along a h gtiu0x:6m94 .bkz tqborizontal, 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 potentu6g qx kimz. 9b4:bt0tial energy the same?

  A 2.0-kg mass is attached to the end of a horizontal spring o)3f)dnx8dm gz z26euj f spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 xe6 umg3)d)n82zzf dj m. What is the total mechanical energy of this system?

  A 2.0-kg mass is att u-*bhftcmg()c(zpf:g h3ee/ ached to the 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 mechanical energy of thisz-ecghb)fp g (*3hu : t(cemf/ system?

  A mass vibrates back and fw/-fvwikp d5;d gns23c* q ;qxorth 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 energy fwq 5kx 3 qnpdiw*;cs2v/;-gd of this vibrating mass?

  The mass of a mass-and-k l2ggw7 )an(45riy qyspring system is displaced 10 cm from its equilibrium position and a4i n5w qg7g(yyl 2)krreleased. A frequency 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 attached to a sprin x qxjb1(:pzx (7se):w(kfzmug of spring constant 10 N/m. The object is displaceujxxeq1( zz(f ps(bm:kx7):w d 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/y/s upserw;/dduk fn6e( 1n82m. The object is dispu s 1(ew/8n nud 6fde;rkp2sy/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 froj)441 smi qrvmph3 nb :;hxk0ua3k:bh m a spring of spring constant 18 N/m, displaced slightly from its equilibrium position, and k0p:hnsb1v:rh;)bx4a3q kum 34ij mh released. What is the frequency of its vibration?

  A mass is attached to a spring. It oscilo a fq*0yxlz iza.6nd 8x4zt-3lates at a frequency of 1.27 Hz when diz0f da.x6l*t84zo a -in x3qzysplaced 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 attac5l8 0oxs rvasbdl d21-hed to different springs. Mass A vibrates with amplitude of 8.0 cm at a frequency of 10 Hz and mass B vibrates with amplitude of 5.0 cm1 b-oard2x5 slv80lds 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 susp l1v ay9 xbagqb271n4e1xfilk3t :uy6ended on a spring. In equilibrium the mass stretches the spring 2.0 cm downwa1 g1l7en 6i3va2 yubtk9q :fb1ayx4xlrd. 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 on a spring. In equi zb b3h)oro2o2mroc-0librium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distan22hor b)oz r mo0obc3-ce 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 thex-fd lc)0 je(h mass stretches the spring 2.0 cm downward. The mass is then pulle 0-e(xd lhf)cjd an additional distance of 1.0 cm down and released from rest. Write down its equation of motion.

  An object in simple harmonic motion obeys the following position versus tis,a/..t.dr/lzl c1w b lp od3cme equ. t.s orwd,z/lcbla 1c ./dl3pation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys o,yokt .hbeqc/ pa57/the following position versus time equak p/q57o c,eoy at.b/htion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmo)i6l- wu1fg 2mki 98qkrkpz 8fnic motion obeys the following position versus time equation:mrlug9p2q1kf- zw )8i8ki6f k
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple h +,dnnzhim ait pwo qu+ g-3ttes 7ng8u:.7(v)armonic motion according to the eqin8gttvawqn +,- u (+d hu 3t.pg77es) mo:nziuation $y = 0.50 \; \sin (18\pi \times t)$ 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 ofh ketw0w))fhkp k( .z6 20.0 N/m oscillates on a horizontal, frictionless track. At t=k et ()w0kw)6kfhhzp. 0, the 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 arz46.iwe4 ncilgl - 3fz rub81ie its frequency and perio rg. wl-fl4uzbe3n1 i86c4izid on Earth?

  A 3.00-kg pendulum is 28.84 m lk ms 4vcy19jsem .1drb9cyn- .wv:o;zong. What is its period on Earth?

  A pendulum has a period of 2.0 s on Eart)tputh; )/xaf( sza;4ngg2p (h kfk ,m nai8.vh. What is its length?

  The pendulum of a grandfathq 6mnbusbd3ma5p ci4 *y (e*f1er clock is 1.0 m long. What is its period on the Ear py*dmfs31n*e6a54 bcui(qmb th?

  The pendulum of a grandfather clock is 1.0 m long. What ct q1*.uo;plzis its period on the Moon where the al u1qt.c;zpo*cceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spufc v/1vss2 +9esr*p ko)n-5hsk6 qf sqv2 ls0herical mass attached to a massless string. When the mass is displaced slightly from its equilibrium position and rel)2fk+ 56kfevqs2hpv0*nss s9 sqs/r - uvocl1eased, 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 initial angular e336r,gy1-ry8fb t+ lrxjn6 ss.mzrf displacement of 8.0e. It oscirgmr 6 r6ynfbs3s3 1+tx zjr.8yef-l,llates 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 ajm5c /zv;nno1 wave at a given time. The frequency of the wave is 120 Hz. What is the amplit cnz 5v1n/;omjude?

  Figure 11-2 is a "snapshot".ly:bs+tj/xf9 ooj ,z of a wave at a given time. The frequency of the wave is 120 Hz. What is the wavele/ot jb 9.+jxf: lsoz,yngth?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency of the wav2ol 6qy7yl l/d bn5ek)ky/l2l6)7 oleqn b 5yde is 120 Hz. What is the wave speed?

  What is the frequency of a wave wh9mhf4fa;yqz-r yfsw; on77)b b,qhn 2ich has a period of 6.00 ms?

  What is the period of a wave with a freqse eb.f9u)w; huency of 1500 Hz?

  What is the wave speed if 0,feosfaublzwk okfmz;*8;7 d;k:p3 a wave has a frequency of 12 Hz and a wavelength of 3.0 ma7f 3od,lo b: m0;kw8f*eszk;;ufzkp ?

  What is the velocity of a wave that has a wavelength of 3.0 m and a :xqfgz3j0trj2jvt/ 8 frequency of 122g8qfjjx3 tv/z0j t r: Hz?

  What is the frequency of a 2.5 m wave trj5dtj*mf02 qraveling at 1400 m/s?

  A piano string of linear mass density 0cx--uwv3 jn pee0oy/bq :p7;7t;rzra.0050 kg/m is under a tension of 1350 N. What is the wave spr ecuo;rq-;/37j :nvy a0w-7t e bpzpxeed?

  A string of linear density 6.0 g/m is under a tension o 3feaoechqz f 9jt07 b(+d-za3f 180 N. What is the velocity of propagation of transverse waves along tazt fc37z3 +ehdfo(0be-j q 9ahe string?

A wave whose wavelength is 0.500 m is traveling down a 500 m long w0xy(/ lrdfn qw5w/j6 mire whose total lf6 xndr5w/0 w/jmq(y 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 propagation of a transverse wave on a 2.0-m long string fim.8;)jmmmbl xz;ty 4obni* 6hxed at both ends is 200 m/s. Which t;6mzm * 48ijhmyn .b obxm);lone of the following is not a resonant frequency of this string?

  If a guitar string has a fundamental frequency of 500 Hz, which one of the f )oay qx8n,i,oollowing frequenoa)y,nox ,q 8icies can set the string into resonant vibration?

  A stretched string is observed to have four equal sbbf6od* 9zc.zk .ai1vp h7z6jegments in a standing wave driven at a frequency of 480 Hzz6i akp.jzbz* vc69dhb. 7of1. What driving frequency will set up a standing wave with five equal segments?

  A string, fixed at both ends, v:uybtkgfa z:/6j 5 jw,/ wp3zzibrates at a frequency of 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency:3g y: ju/kbpzfj zw5zat6,w/ is needed if the standing wave pattern is to contain 4 loops?

  A string of linear density 1ad-)du5;k mf n 7wgo,w.5 g/m is under a tension of 20 N. What should its length be if its fundamental resonance frequency isu7 nd;m-ad fwkog)w5, 220 Hz?

  Find the first three hay;:ayeepik)jq j(1vkm 2bmlfxr250 -rmonics of a string of linear mass density 2.00 g/m and length 0.600 m when it is subjected to2e 5 fi)ayl;jvr:1mkejkx-2y p0 qb m( tension of 50.0 N.

A string of length 2.5v.cbdm6+la h 1 m is fixed at both ends. When the string vibrates at a frequency of 85 Hz, a standing wave with five loops is formed.vd 1hmlcba6+.
(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.