The time for one cycle of a periodic process is called l 12wbae: oplk. 0ngsozo4q4 4the

  For a periodic process, the number of cyc/*g:chs5go l g(u om9iles per unit time is called the

  For vibrational motion)/f; r3r);lfgj nc tdjn)isqv1-m k,t, the maximum displacement from the equilibrium point is called ) ,gmrtir )c;vj)nsld 1 -j;nt/ff3qk the

  A mass on a spring undergoes SHM. When z5d:s 6x u6i wp)mfrk4the mass is at its maximum displacement from equilibrium, its instantaneous64:d) z56p xusfmikr w velocity

  A mass on a spring undergoes SHM. When the mass passes through the equilib:/ooosv vl -/irium position, its instantaneous sio/o vvo l/:-velocity

  A mass on a spring undergoes SHM. When the mass is at maximu7 z/sqqx2w y yrrqnju3/ ))(dgm displacement from equilibrium, its instantaqj /r27 q x)r(syq)w/ng3yzud neous acceleration

  A mass is attached to a vertical spring and bob d/nycj yhl3j.2 4 v0hetmcv )ka;7ablz:uv8 3s up and down between points A and B. Where is the masuy2v b.leycac va0j z3jktdh734);8lv hm:/ ns located when its kinetic energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down between poqblx.8fv) j(hnb8zk :ints A and B. Where is the mass located when its kinetic lj)8bk fn vhx8 .:b(zqenergy is a maximum?

  A mass is attached to a vertical spring and bobs up e iqt;n sr0;7vand down between points A and B. Where is the mass located when its potential energy is a minimqt 0s7;veri n;um?

  A mass is attached to a vertical spring and bs( --f j 2kftsepy16 g5 c0xfey8uc5hej-;hoqobs up and down between points A and B.g2ccuxp (f-eeyssk80 ; ht6f - h5jejq15 oy-f Where is the mass located when its potential energy is a maximum?

  Doubling only the ami.r: yb3 w1lj(xhvf3hplitude of a vibrating mass-and-spring system produces what effect on j:. vl(x1hb wi f33yrhthe system's mechanical energy?

  Doubling only the mass of a vibrating mass-andx6 uw-7as6xu l )t/vxa-spring system produces what effect on thxst)vu/x667w-aau x l e system's mechanical energy?

  Doubling only the sprinq uwgq4mfml3*l;1ijb:tw :i*g constant of a vibrating mass-and-spring system produces what effect on the s t: :gqllmiwubqw4i j3;*m1 f*ystem's mechanical energy?

  A mass oscillates on the end of a springrg3f 9g6gvvq1+ikhaoif,1 i-, both on Earth and on the Moon. Where q1ig-,v g6+oi1hf avgf 39rk iis the period the greatest?

  Increasing the spring constanay,yulwh)od h2 9.w j)t k of a mass-and-spring system causes what kind of change in the resonant frequency of the system? (Assu2h ),ljwhyya.o9 )uwdme no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system causes wh)w2 b v9llh)fl vxg 4h8vo)nc 06crao+at kind of change in the resonant frequency of the system? (Assume n +ooxhal2vlc)v 4hb98l0n)6rwfg)vc o change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system causes what kind zv ns (d su67pn8fc*c6of change in thes6dsf(v78nzpc * nuc 6 resonant 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 stri5a*k1 ds2 s6 ovvoyy /l1pu:wfppq.w) ng of length L. For this system, when underg wvp)y1: a p52vowus6yq1kls.of pd/*oing small oscillations

  When the mass of a simple pendulum is tripled, the time required for /.0z b iro0 w:vslkw0uone complete bksvw 0i w/ oz:lr00.uvibration

  Both pendulum A and B are 3t)6d ti52qk6aio9m 0cito--x2dvlsa .0 m long. The period of A is T. Pendulum A is twice as heavy as pendulum s--0dak 6 9loi5q tmatc2) dvx2o6itiB. What is the period of B?

  When the length of a sisw40ivu2m)sw:, n v+u;ih bnimple pendulum is tripled, the time for one complete vibration increases by a f: n,+iu2i4m u;i) hbwvnssw v0actor of

  What happens to a simple pendulum's frequency if both its length*f x+0-l4kuialxj 2mb and mass are increased?i- xkm+f0bj*l2u a4lx

  Simple pendulum A swings back and forth at twice the 4esv 5 zbd8ty,frequency of simple pendulum B. Which statement is cort8sed,yb v z54rect?

  If you take a given pendulum to the Moon, where the acceleratioe6c /chng0(jntn-1 v.*cs ilb vd5 1xcn of gravity is less than on Earth, thet s.b 5jcv1 h0lccc*egv-1dx(nin n6/ resonant frequency of the pendulum will

  Curve A in Fig. 11-1 represen4bq +hylggw11v ljj+bm d*8 1uts

  Curve B in Fig. 11-1 represebra5fdn9tr 8q l,u0r :nts

  Curve C in Fig. 11-1 repk-tqp oangkk j1;f+z1;km8n ;3truf zve-9 0fresents

  For a forced vibration, the a ) d/ts8) zsf8s.ba2ys)jpqd xmplitude of vibration is found to depend on the

  In a wave, the maximum displacement of points of the wave from equilibrium is b9 qk/// axf5o /)crk.ogd,y mdf:oczcalled the wave'so bc/xf o f5 akdq/)9,m/.d/gy :rzcko

  The distance between sfb7zkgu); ;cyaq7 3h cuccessive crests on a wave is called the wave's

  The number of crests of.0 4cmwcl kpat7p bl(5 a wave passing a point per unit time is called the wave's.b (c4akll 7pcwpt5 m0

  For a wave, the frequency times the wavelength is the e/m*7a8 2a/y5j0rld tjms1:to t ga2c ow8urqwave's

  The frequency of a wave increases. What happens to the distance between succesclwm slsf ai/w.8)r2c ;mq lq7f w-6/ssive crests if the speed 6a-l;rwi2mc/s)qcws8fwl /sf7m.lqremains constant?

  A wave moves on a strin (6xtp 2bcp k.y(z 7nj8 up0z(*gfb,;nnmjobmg with wavelength l and frequency f. A second wave on the same string has wavelength 2l and trb.(*bju jy,bp 8((x mn6t;2fgzpn07 znkpc omavels with the same velocity. What is the frequency of the second wave?

  Consider a traveling wave on a string of length L, mass M 7y (cou)hr7ge, and tension T. A standing wy7eh g )7c(uroave is set up. Which of the following is true?

  A string of mass m and length L is under tension T. The speed of a wig;g5nyejj h c:ry+g1w 9k 6t-ave in the strin5 9h ;gge-j6gykryi1 n:cjt+ wg 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 length?

  A string of mass m and length L is undexphs*7yo5c5 a(3 jhdur tension T. The speed of a wave in the string i(5 ohuh a7c3j*yd xsp5s v. 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 z-q,l1k q8vf vis under tension T. The speed of a wave in the string is v. Whak l,vqzf8qv1 -t 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 wave travels through thj;e osr(-afjz* ;i w:le Earth, the relative motion between the S wave alwios(j-ar*jf;e:z; nd the particles is

  In seismology, the P wave is a longitudinal wave. As a P wave tran br1wt2(ois: cltc( *vels through the tc:i*r1((nb o c lwst2Earth, the relative motion between the P wave and the particles is

  The intensity of a wav)uforjxf 72c +exn3o84pv+ qx( *pmjxe is

  A wave pulse traveling to the right along a thin cord reaches a discontinuip nh(,- y- ajdn/ti1lqsrtr7g xp7r9h.usx78 ty where the rope becomes thicker and heavier. What is the orlt 9as78rxy pd7ni-r(gt. s,jrpq7/ nx u-1hhientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each other on a str.+ ghalhz)/lq ing, one is traveling toward the right and the other toward the left. At the point that they occupy the same region of space at the sl/haq + lg).zhame time

  Two wave pulses pass each other on a string. The one traveling toward the rightzk siscd5h;h)j pqxw+h0p)(2h 75vf u 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 r sq );s0+(hjcu5w5)hd hhz2fxvp 7kpiegion of space at the same time

  Resonance in a system8gy, o6s72pvj)sxust , such as a string fixed at both ends, occurs when

  If one doubles the tension in a violin string, the fundamental frequendf)lvb72-hj;0d4t ulorut; ccy of that string wicu rf-0ojblt d2duvh)4 ;t l;7ll increase by a factor of

  What is the spring constant of a vw5c:7wb l 8bhspring that stretches 2.00 cm when a mass of 0.600 kg is swb87b 5wclhv: uspended from it?

  A mass is attached to a spring of spring constant 60 N/m along a horizontal, fri8(+kt x4xiecr ctionlesse48(ix+cxkt r 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 amplitude?

  A mass is attached to a spring of spring constantw a,f (f6dyr8k 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 when6,f(afykwd r8 it is oscillating. What is the period of oscillation?

  A mass is attached to a spring of sprb um6*g;st g.e*0u cihing 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 equilseg;u.ib**g6u c ht 0mibrium position when it is oscillating. What is the frequency of oscillation?

  A mass on a spring undergoes SHM. It goes thro- ks c 5um2;o0wspt7*r0jwokiugh 10 complete oscillations in 5.0 s. What i7uwkso 5 m-rjkt*sw0 cp;02ois the period?

  A mass vibrates back and forth from the free end of an ide/ywj p1qfv eh)k;48c bal 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 8evj;41yq f)/ wkphcb is 0.30 m from its equilibrium position?

  A 0.50-kg mass is attached to a spring of8bj 8 tvi/dy z;w3sx8n spring constant 20 N/m along a horizontal, frictionl8 8bvin/y;w3jd stxz8ess 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 system?

  A mass undergoes SHM wifqq: p,c3yy*0gc( elnth amplitude of 4 cm. The energy is 8.0 J at this time. The mass il3* (q:gypc qc,nf0ye s cut in 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 sprp6 m3u*zzez1cr,z ,fping constant 20 N/m along a horizontal, frictiozcuz3 zerp*m,,6 z1pf nless surface. The object 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 7 h1w2kaeh h/ohorizontal, 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 enekhe7h/h 21ao wrgy the same?

  A 2.0-kg mass is attachehvjwz5l1 6v0o1jou1dd 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 tohv1jod61u 0 v1lz jw5his system?

  A 2.0-kg mass is attached to the end of a horizyp c +.dw9 rlq56b8hnyontal spring of spring constant 50 N/m and set into simple harmonic motion wi98h+dq w ynrbyl6p 5c.th an amplitude of 0.10 m. What is the total mechanical energy of this system?

  A mass vibrates back and forth from the free end of an id rux2n4s ;vyb8p)vah58)gr qdeal spring of spring constant 20.0 N/m with an aha)vsn4gq2b urr8;5) vd y8xpmplitude of 0.250 m. What is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-st m ,jbvy-/e*cpring system is displaced 10 cm from its equilibrium position and released. A frequency of 4.0 Hz is obset-m*b/e, jyvcrved. 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 spring of spring c2+d2k 12:ce0 ykyqq0d oegfrkonstant 10 N/m. The object isg2ddy2 c :k+0ee2yq o10rfkkq 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 Nx-0 emkppa+)fu+yf, *saul9 p/m. The object is dispusl ,ue+apk)a+ mf pxy*f90p -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 spri qk)0aixmb ;v0 58dza p0knf*mng of spring constant 18 N/m, displaced slightly from its equilibriuvkq;d 5 mbm 0*ix 08a)azkpnf0m position, and released. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequency of 1.pw*/1x d5);.gyw yh.lvoz nvr27 Hz when displaced a distance of 2.0 cm from equilibrium and releasedzv)xpr5y gw y.*1ln hwod; /v.. What is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to different springs. Ma71*dp nfr.d gxss 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 speed of A compare to the max*7 1rf dpx.gndimum speed of B?

  A 0.30-kg mass is suspended on a spring. In equil;k( e6ct* zeimibrium the mass stretches the spring 2.0 cm downwardm(6*;eciz kte. 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 equilibrium the mass st oxbvg tpv5nn21-s h3r) :-hakgpfs5,retches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and released from rest. Calculate the v)o1a5n 3 g,g5h-r nps fh:x2s-btvpktotal energy of the system.

  A 0.30-kg mass is suspended on a spring. In equilibrium the m7ai +p4dz+u6krw hf h: 3phg:cass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and released from rd h+a6:z+ u74rpg 3h:ipkhf wcest. Write down its equation of motion.

  An object in simple harmonic motion obeys the following position versus time eq52nju rx:8c gmuati xr 8u:nmjc25gon:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following positi noqh-ks8vi,2v/w6gd on versus time equat8ovg6 h, ds 2-wikn/qvion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following position versus t)01b**geh z cqh m(*3aqvt e15e. bpbhywvu, sime equatioay(., v e**whv ebpgq3cz1h*10 qb) bt5 muhesn:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple harmonic motio1ejf0 ./mbi sda k-x;rn according to the equatia -f;k jr .ixbd0m/1seon $y = 0.50 \; \sin (18\pi \times t)$ 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 Nkv7z . mofr* bpk :a(mv,i8ai4/m oscillates on a horizontal, frictionless track. At t= 0, the mass is released from rest at x= 10.0 cm.voki 4ak a:7m zm.,ib8rvp(*f (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 a(zh +mjnk88 s4u)e9hjsyh*j end period on E8(nhee juy 4s)jjhm zs9k+h8 *arth?

  A 3.00-kg pendulum is 28.84 m long. Wl8wu3 0qni9 dohat is its period on Earth?

  A pendulum has a period of 2.0 s on Earth. What is its lengy -nok19, skqnth?

  The pendulum of a granq0tx o2iqoc+3 s4)nvc0 9gvcydfather clock is 1.0 m long. What is its period on the Eartho4g0ct)q2syq0 3v9 n c+coxv i?

  The pendulum of a grandfather clock is 1.0 m long. utz3q r r:y,i:ar*ag k8q :og9 What is its period on the Moon where the acceleration due to gravitgozry ,:g tui 3rqa98q r*a::ky is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherick 5r699a dlb32hzo5 whochlp4al mass 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 frequencya9 o w35k4hbhr 9z6 5dch2lolp 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 angula iqkac 1 l 7cdhyuupcrw; 7/tc/,.)xw4r displacement of 8.0e. It oscillates with a4d7xc ;k1hi c/uraq,). 7/t luc pwwyc 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.ye m+7c i,g)anjkj4a* The frequency of the wave is 120 Hz. What is the amnaic,*j+mg y7ek4 aj )plitude?

  Figure 11-2 is a "snapshot" ok:vvh)kk7njn2omn/8;qo zpgc9( qb:f a wave at a given time. The frequency of the wave is 1nk nmhng cpbkvv2q;:qo(8k 9 o:) /zj720 Hz. What is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequenc2f +,7,,ot:afvilzng vy.px u y of the wave is 120 Hz. What is the wal+ z,,u 2xv pgtvi:.ny,7 afofve speed?

  What is the frequency of a wave which has a jx8jhrw0xe47zk * h)fbc59df period of 6.00 ms?

  What is the period of a wave with a frequencx0ax* pbk3zw /y9hc c:y of 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hie5w vo(af4hioe + 9amj. qj40bvg+p: z and a wavelength of 3.0qjh vibavw0a4ifo4 g+( .: 5ejm9op+e m?

  What is the velocity of a wave that has a wats: z z5rs0vo:-ey9r.udc cp; velength of 3.0 m and a frequency of ezvcz5;s uor-: d9t0yscr :p.12 Hz?

  What is the frequency of a 2 t. nex9 cy60a:f2honoou*da2.5 m wave traveling at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is under a tens5f 5 +mr*sqvhbuj(y)*9 fwk5wpdo-nzion of 1350 N. Whathkqfjf*+9r 5pw zduo55v b(wm)n *y-s is the wave speed?

  A string of linear density 6.0 g/m is undego )vnx2f: pb-r a tension of 180 N. What is the velocity of propagation of transverse waves along the stri bo x:-fvng)2png?

A wave whose wavelength is 0.500 m is traveling down a ;ve) xqghdrw 9zwp1;ra456mr 500 m long wire whose totavhwr 1;456qmgepa)w z xdrr ;9l 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 trjl *glw8nzl(r53qkrou 8g h7 0y vc3m7ansverse wave on a 2.0-m long string fixed at both ends is 200 m/s. Which one of the following is not a resonant frequench w7ql8umoklv 7g gr0jzyn 8*(l33rc 5y of this string?

  If a guitar string has a fundamental frequency of 500 Hz, which o: zz-oeq ((wqcm8c2re ne of the follow:oqe- e8c (qz( zrcmw2ing frequencies can set the string into resonant vibration?

  A stretched string is observed to have four equal segmen46h9)kh;nh oc dzhe5)lel6mw ts in a standing wave driven at a frequency of 480 Hz. Wha5 m6wheo6 ;hc)hz)k n4led9hlt driving frequency will set up a standing wave with five equal segments?

  A string, fixed at both ends, vibrates at a frequency of3 vhfz1,mmdx cdo4,)1wodkw * 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency is needed if the standing hd v,x*3 wd wkz1mmd4of1),ocwave pattern is to contain 4 loops?

  A string of linear density 1.5 g/m is under a tension of 20 N. What heu hy .j7s0t. qv7ua;should its length be if its fundamental resoa;ju.hytvue.h 0s7q 7nance frequency is 220 Hz?

  Find the first three harmonics of a string of linear mass density 2.00 gs 0j*rv,o i7zx/m and length 0i*xj7orv sz,0.600 m when it is subjected to tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. When the string vibrates at a f7, adt sk;gun84dhc*erequency of 85 Hz, a standincdkad *n;u7 e8th4,sgg wave 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.