The time for one cycle of a periodic xt8g6pgi+8f y3-ctf g process is called the

  For a periodic process, thm ba;yx.;-ffdd.jm * ye number of cycles per unit time is called the

  For vibrational motion, the maximum displacement from the equilibrium point iiz4 8jls8umj 4;hupq9s called tjslqu z m pj8h;4iu498he

  A mass on a spring undergoes SHM. When the titt)9qmrdmqp 29zl (c 79j7m mass is at its maximum displacement from equilibrium, itq9jm 7czi9rt 9mq2)lp(m dtt7s instantaneous velocity

  A mass on a spring undergoes SHM. When the masc(zzvse(s)*. /rwqvus passes through the equilibrium position, its instantaneous veloccu*(vw v zzeq/s.)sr(ity

  A mass on a spring undergoes SHM. t 4qokhki7c38ls fe rb/f du6bj7()x8When the mass is at maximum displacement from q8 fd c6b ko7h7uxkt(bi8ef/43r sl)jequilibrium, its instantaneous acceleration

  A mass is attached to a vertical spr-; y6vcl( h tn ry8h,i57qyakiing and bobs up and down between points A and B. Where is the mass locv 5 yyl(;8r7i-6 ainq tyk,hhcated when its kinetic energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down between points A 3p4 d g lfn4tv1kvje vc-9ky:3and B. Where is the mass located when its kinetic energy is a maximu9 -l1t3vk jvyndc:4epvk4 g f3m?

  A mass is attached to a vertical spring and bobs up and down betwem ;jzkm8i dlq l1zt52pa1 l0g-en points A and B. Whe -mjg21 ; lptq1lmkz85 za0ldire is the mass located when its potential energy is a minimum?

  A mass is attached to a cxmkq1-e.ha .sf 4pv 90d du(pcti.: gvertical spring and bobs up and down between points A and B. Where is the mass located when its potential energy is a maximum.uvih(.xs k ddp f9 p0ma-.ct c:gqe41?

  Doubling only the amplitude of a vibrating mass-and-sprin/x2r(0b x 9jhbdaa3g ug system produces what effect on the system's mecha9 b(0b rxgajhx/32ad unical energy?

  Doubling only the mass of a vibrating mass-and-spring system produces whaty gg-t*rqq5bwu 58-mw effect on thewgt5 q-ubr*-gm58w yq system's mechanical energy?

  Doubling only the spring constant of a vibrating mass-and-:z;dn v wzf6goy.z.o -spring system produces what effect on the system's mechanical enz o.6wy -fvzdzg;.o n:ergy?

  A mass oscillates on the end of a spring, both on Earthst1eah44m-ed2 lio g 2 and on the Moon. Where is the period the gro14 tel42a-gdm i esh2eatest?

  Increasing the spring constant k ofxl-b bq u,u,9/l v4aupcmzn9 ;s+h0bp a mass-and-spring system causes what kind of change in the resonant frequency of t+p0u n4,vbu9 a/blmz;u xq s,9plhcb-he system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system causes what kind of change in xs-o:;f1qqe. f)w emyg 8o:x a1u:euvthe resonant frequency of the system? (Assume no chang.om;1g: weeqq):usvae:-o18 fyx uxfe in the system's spring constant k.)

  Increasing the amplitu hr20l*xim,00 f0got3(luy0pyr k ndd de of a mass-and-spring system causes what kind of change in the resonant frequency of tg * i2drk 0y,0dplor (y00xf3ntu l0hmhe 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 attac+kia : u/7 : cu.exwm4std0mrlhed to a weightless string of length L. For this system, when undergoing small 7wu: 0:e smkcix/atlmd.+r 4uoscillations

  When the mass of a simple pendulum is tri;,e sz/tcs /bnw(les(/mo0 dtpled, the time required for one complete ve ;e/o( sns/st/t cbd(mwlz ,0ibration

  Both pendulum A and B are 3.0 m long. The period of A is T. Pendulum Awjpe9s7)b4et j j71ee.goskty h e:/* is twice as heavy as pendulum B. What is the e bo9e7ej*yk)psjsh ewt 4e1/7.j :g tperiod of B?

  When the length of a simple pendulum xkb2m6 x kzrfml6b h)hw5.-u)is tripled, the time for one complete vibratio b)k 6h5fml.b m)x 62hwzxru-kn increases by a factor of

  What happens to a simple p e ,2mb.vxq2wfendulum's frequency if both its length and mass are inbfme xw2 vq2.,creased?

  Simple pendulum A swings back and forth sia55w.ysc/2e;arpkxwrpd r+ gh* 8q1x-.qe at twice the frequency of simple pendulum B. Whichq srawqr5y2a e.5p hgw.s -ck*;pxr1edi8 +x/ statement is correct?

  If you take a given pendulu; +byibcg(p yr 5ylwd q3sl58/m to the Moon, where the acceleration of gravity is less than on Earth, the resonant frequency of /5gb8lyb iy+dyr3c;5p(s qlw the pendulum will

  Curve A in Fig. 11-1 represmalv.9mk1b h19pbmm 2ag* c1 eents

  Curve B in Fig. 11-1 represen9rw /apbut, z-ts

  Curve C in Fig. 11-1 re ww q5;nil-ut+presents

  For a forced vibration, oog umh6 en8q0 dp.v8hbj9dci24 a4*jthe amplitude of vibration is found to depend on the

  In a wave, the maximum displacement of points of the wave from equilibrium is 0uph*e0pl lq+qv0b5 tcalled the wavel v+0 0blqph *0p5tequ's

  The distance between successi/4(*kgqv hgyqi9b,3eh nszm +ve crests on a wave is called the wave's

  The number of crests of a wave passing a point per unit time is calhaqb/ c h8mtp :5;s9xzled the wave'stx/s;9: pb8a 5h mhcqz

  For a wave, the frequency time537;l4cj7twucqj9cac u7zec z s/i 4ss the wavelength is the wave's

  The frequency of a wave increases. What happens t-v vgv l:v9+0g uwam:mo the distance between successive crests if the speed remains constantl vavmvu-0 g:wv9+ mg:?

  A wave moves on a string wg f0e s,,*9qobl bo-xk9gla)mith wavelength l and frequency f. A second wave on the same string has wavelength 2l and travels with the saa,9lm9e0 *g)bg osqbf-lxko,me velocity. What is the frequency of the second wave?

  Consider a traveling wave on hh;* zez)2b ( p yr*s4s1yhchra string of length L, mass M, and tension T. A standing wave is set up. Which hy ess*zhc4p)(* hhy1 ;zrb2rof the following is true?

  A string of mass m and length L is undnxj ,iut72j0r1nkax+0jjwy5 1jij9 aer tension T. The speed of a wave in the string is v. What will be the speed of1awy+7j9k0xjj i j0i5ajux n1,rtjn2 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 T. The speed of a wave in the szl8g q0y5piv:jx ztt1h09m;wtring is v. What will be the speed of a wave in the string if the length is increased to 2L, ytm0;8l vxzi gzq j0ht5:w p19with no change in mass?

  A string of mass m and length L is under tension T. The speed of a wave in thyr*7 -bb2d jkne s*- 2ynjdrbb7k tring 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 transverse wave. As an S waverz l0,sndj a5: travels through the Earth, the rel rl,zd5j:a0snative motion between the S wave and the particles is

  In seismology, the P wa .gvq4;7 *vbsgk- tiuave is a longitudinal wave. As a P wave travels through the Earth, the relative motion between the P wav g ;7gt-a *vvkqis4b.ue and the particles is

  The intensity of a waven- m, dt:2zaii is

  A wave pulse traveling to the right al.)r .iz v/vx8vx-6ujfj j8zyfong a thin cord reaches a discontinuity where the rope becomes thicker and heavier. What is the orientation of the reflected and tr r6xv8jzjx i.uv.z8vy/j)f-fansmitted pulses?

  Two wave pulses with equal positive amplitudes passe;,rujno1s0vw rn82 t each other on a string, one is traveling toward the right and the other toward the left. At the point that they occupy the same region of s snonuet2 wv0r1r ;j8,pace at the same time

  Two wave pulses pass each other on a string. The one 2wc.btf1.lg,uos2 tqtraveling toward the right has a positive amplitude, while the one traveling toward the lg t2.b,wt.qoc fs1lu2eft 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, occurs wheamgvpq(5pwg k)8 -n +mn

  If one doubles the tension in a violin string, the fundamental frequency mkvcm7h1.-yuw+/bvj m4qq 2uof that string will increase by a facmmv-7cmv h /jy qq.1bk+ 4u2uwtor of

  What is the spring constant of a spring that stretch9oh0f8ft ;9fmbj2g v5n jgna6es 2.00 cm when a mass of 0.600 kg is suspet 0g2a8bgj n9;vn o9hj6mff 5fnded from it?

  A mass is attached to a spring of spring constant 60 N/m along a horizontal,izxu1tup 9kypc5 7sex r*vz;ogh(- (4 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 ampv*5ez;(p 7y4 9huko ispcugz(r1-xtxlitude?

  A mass is attached to a spring of spring consthb gk a8k-)x3(3fi jugant 60 N/m along a horizontal, frictionless surfacegjuxk 3kh)f(bi- 3ag8. 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 constanx9 i(zd lj4 xyaxk,c2na90a*yt 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 0k9ayj2, c*yixn l 0aza(9x4dx .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 oko g0ik/bnhfgtk0 1+b+p4; j vscillations in 5.0 s. What is the peri;k+ nvkjg04 hk1/p0gbtb +io fod?

  A mass vibrates back and forth from the free end l1ax d5ju--q 46nazk+xdn go, of an ideal spring of spring constant 20 N/m with an amplitude of 0.30 m. What is gj, x5a+uz n1ln4 qaxd-- 6dokthe 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 along.,u ypt; 3p )b;ijsknh a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s at the equilibrium positis pn jty)u,.;h;3kp bion. What is the total energy of the system?

  A mass undergoes SHM with amr(7.vssjg .jqr6h0 ueplitude of 4 cm. The energy is 8.0 J at this time. The mass is rr(e0. ussjv6jgh7 .qcut 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 spring constant 20 N/mt3i0z bg kvq*7 hbsg,m.b9ru1 along a horizontal, frictionless surface. The object oscillates in simple harmonic mot03g *ukr1h gt 7qvm zbb9,.sibion 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 attalhkw0 l 3 86i2ym*kl2yptwn4iched to a spring of spring constant 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. At what location are the kinetic energy ai 0 tm6wyk2in l3yl*4 2kwl8phnd the potential energy the same?

  A 2.0-kg mass is attached to the end of a horizontal springx*: hkzbp s)7p +-j, 1rktypda of spring constant 50 N/m and set into simple harmonic mokpr)b-z kh spx*+ p,da7yjt 1:tion with an amplitude of 0.10 m. What is the total mechanical energy of this system?

  A 2.0-kg mass is attached to the end of a horizontal db36u. ozh1p-ggh b38 um4or bspring 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 o8mo3h. h b 6rbgpd-g4uouz3 b1f this system?

  A mass vibrates back and forth from the free end of an ideal spring of sprind 0c-ihshm l6pl.t)t )g constant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kinetic dt mp )-ch6lih. 0)ltsenergy of this vibrating mass?

  The mass of a mass-and-sprinhkjhf79;f (rpg system is displaced 10 cm from its equilibrium position and released. A frequency of 4.0 Hz is observed. What frequehj(kh;f9p fr7ncy 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 sprintx 9 (:fpnpi 120ajlhkg constant 10 N/m. The object is displacedp 2j:9fpinx 1at 0lhk( by
5.1 cm from the equilibrium position and let go. What is the period of vibration?

  A 4.0-kg object is attm jbj;od*rj x zh9 e) pt09clt:pj(z6h ok7d*0ached to a spring of spring constant 10 N/m. The object is displaj(* djrlpj t0o jb;)h:hzx90k oc 6t9me7zp* dced 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 sprin2 w lzr x0+lb4oxu1cm-g of spring constant 18 N/m, displaced slightly from its equilibrium position, and released. What is the frequency of its vibratz+-wxlbmoruxl 104 c 2ion?

  A mass is attached to a spring. It oscillates at np.6d,:* 4vrm;ano u9 mlxgzra frequency of 1.27 Hz when displaced a dis n .*9pavl,4;mzrmo: 6rgnduxtance of 2.0 cm from equilibrium and released. What is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to difa-dkq n8e bahq*oh:tjd )9 x;5ferent 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 cm at a frequency of 16 Hz. How does the maximum sd qj-;h)e8 k9oq*dbn5 atxa h:peed of A compare to the maximum speed of B?

  A 0.30-kg mass is suspended on a spring. In equilibrium trc;iqi7ng6te, -g1kt he mass stretches the spring 2.0 cm downwarc-6,1r7n tgg;ii qte kd. 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. Inqaeq0ar6-4tp8hs b y,w 0q ga- equilibrium the mass stretches the spring 2.0 cm downwardq w-qhe qgt a,-b6a0pys80 ar4. The mass is 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 suspendedionf7o0m/7 3z1 vhbzu40kvrv on a spring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and released from rest. Write r1bv im040h /3u foovnkzz77vdown its equation of motion.

  An object in simple harmonic motion oby7b ltksmut)- (c d1fzgk70w;-v9 pkreys the following position versus time equ-1d w09y;(mvt-kz 7 lutcfp7rbg)kskation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmfjy bvte(4ph3*)- xtk3l x4tgonic motion obeys the following position versus time equagvyf4x)t b - etjklh*tp(334xtion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmoncdqrq ydoo* 6p3a2,f:r/:as z ic motion obeys the following position versus time equation:oaqfr/q6sd: d2z:r3o pcy *a,
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple harmonic motion ac)s9smth6 oby1.l1dt bcording to t6 . b9d)lsm11 tbsohtyhe 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 xbbwd +qi:8-f spring with a force constant of 20.0 N/m oscillates on a horizontal, frictionless track. At t= +x8dwq:b- f bi0, 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 swingsl) fc2xm07x 9l6 (vb+yiewald in 8.0 s. (a) What are its frequency and period onbxm9vxwl)l0a 6 f il( e7y2dc+ Earth?

  A 3.00-kg pendulum is 28.84 m long. What is its p ky,b5x *fuv(zeriod on Earth?

  A pendulum has a period of 2.0 s :k *xmj xwjc81 z/oi lc.ge p,:np:nt5on Earth. What is its length?

  The pendulum of a grandfather clock is 1.0 m long0z j06au6t21 aquleft . What is its period on the Ealu1e26tt 6j0u zaf0qarth?

  The pendulum of a grandfather clock is 1.0 m b 49:4d:dapmg w1beeglong. What is its period on the Moon where the acceleration due to gravity iembp4::e1g ba wg 9dd4s only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical massdft ;ngs )w/o1 attached to a massless string. When the mass is displaced slight;w/ s gfto)n1dly 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 the string instead?

A simple pendulum consisting of a 2s 8m ss9mstm7hsyt0/ 40-g mass has initial angular displacement of 8.0e. 7s48s/sy0tmhmm 9s tsIt oscillates 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 frequency ofp:; tm5 7aioh9e d)kw sax)js1joo *5c the wavepxhowa5)j 9t m*k5s o7eod)i1jac; s: is 120 Hz. What is the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given tiep-7luw.:c by l4r hq1me. The frequency of the wave iye 1 lhbr4 -lwc7uq.:ps 120 Hz. What is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frej4 ;pwh*pdu5mquency of the wave is 120 Hz. What isdp ;muh4p5* wj the wave speed?

  What is the frequency of a wave whice(j7me87kifwmz+8v c h has a period of 6.00 ms?

  What is the period of a wave il-xnvrji4cfoomi7+ 5(3 8in with a frequency of 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 tb+nerqus(a k oqtiz7d684-;3lv9ssx- u i1gHz and a wavelength of 3.0 m d 8tl39e;-i(vsg7q -1tz 4 brqn 6isuxosauk+?

  What is the velocity of a wave that has a wavelength of 3.0 m an9)6x 6y:hlhm-na z6 3kcgwub yd a frequency of 12 Hh 3)nu6 cy-y x:wkl6maz96hbg z?

  What is the frequency of a 2.5 m wave qsn w4/zm4 vc,c )tr +1y;w7cy7vynrctraveling at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is under rzgn 1zmwavkqb;7c6 f lf)5e6(d83 o ra tension of 1350 N. What is the wave speed?6 m3fdrno g6rvz( cb57qfkza8 ew;)1 l

  A string of linear density 6.0 g/m is und rmpa-y/jdm;jcu,2 bn ,d1)nxw-+s,7fg ztq ter a tension of 180 N. What is the velocity of propagation of transverse u-md )g p m+,xrt1,zy;j/ja fbcw7ts, nd2-qn waves along the string?

A wave whose wavelength is 0fcz evt,8-q e*.500 m is traveling down a 500 m long wire whose total mvfc- 8t*,q eezass 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 kwfslru+zb/gt/0 v;.oe, m/pat both ends is 200 m/s. Which one ,f/.urw p0;vegktl /b/oz +msof 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 follo(ds+x y xpldg.m+6 tl2wing frequencies can set the string into resonant vibratiol(px d6m.+t +gxs lyd2n?

  A stretched string is oblv.ko(;uz5 cgk8si + mserved to have four equal segments in a standing wave driven at a frequency of 480 Hz. What driving frequency will set up a standing wave with five equal segmz(g ;u s+8kli5vc.okments?

  A string, fixed at both ends, v5zm7 i6gqo-cvibrates at a frequency of 12 Hz with a standing transverse wave pattern containing 3 loops. 5zmg -coiqv7 6What frequency is needed if the standing wave pattern is to contain 4 loops?

  A string of linear den y 4 w*dbkxvm+(.xv4i ko;d(rxsity 1.5 g/m is under a tension of 20 N. What should its length be if its fundamerkvmx;.(+w *o4dy k xiv xb(4dntal resonance frequency is 220 Hz?

  Find the first three harmonics of a st+l k kh1v+j,qpring of linear mass density 2.00 g/m and length 0.600 m when it is v++1kpkqhj,l subjected to tension of 50.0 N.

A string of length 2.5 m is fixed at both endsw, +.z-bx0ymfts x4 ye. When the string vibrates at a frequency of 85 Hz, a standing wave with five loops is formed.. w0 4seb-x,tzymy fx+
(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.