The time for one cycle zit p fpq-n859sj7+ pgof a periodic process is called the

  For a periodic process, the number of cyc5wy 2 *ew)gbsyles per unit time is called the

  For vibrational motion, the maximavpxf yrx6kb4s8u2 - a 8-/jnyum displacement from the equilibrium point is called th4 x 8ns pr8 -a/yfvxju2byka-6e

  A mass on a spring undergoes SHM. When the mass is at its maximum d05h i prf: vcr/rd uz3t9lm5)uisplacement from equilibrium, its inst:/ mrrli9hdz cv05u3ftr5p )uantaneous velocity

  A mass on a spring undergoes SHM. uv*)3d j 97uftnl-bzi When the mass passes through the equilibrium position9ilt)7v*- fudb3ju zn, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass is at maximu - 70wuo9lqfi:v xcx:rm displacement from equilibrium, its instantaneous o9r-0 lxicuqfx: :7wvacceleration

  A mass is attached to a vertical spring and bobs up and dg1vhn f;n3+ eh+irx:c own between points A and B. Where is the mass l:1+fe3gx r; hvhc+nn iocated when its kinetic energy is a minimum?

  A mass is attached to a bk/ hkjjuss5no) 5zb)mu ;4c0vertical spring and bobs up and down between points A and B. Where is the mass located when iu s u;n0o55bmkkh)z)/sjc 4bj ts kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up and downy.zoq89 j oxd y*wd(o( between points A and B. Where is the mass loc9yj8oy*qxo(do(z. w d ated when its potential energy is a minimum?

  A mass is attached to a vertical spring and bobs qi1cu8ay11m4aj izukx1r*58 .i nfqf up and down between points A and B. Where is the mass located when its potential energy is a maaz 8yx* iru4151inji8kauf11 qmcf q.ximum?

  Doubling only the amplitude of a vibrating mass-and-spriqi,h dpa,ii(ie70uwu6-: gm fng system produces what effect on the system's mechanical(f,:i 6ep-gumiawuq,di7 hi0 energy?

  Doubling only the mass of a vibrating mass-and-spring system produces what ef 0 ru* w yhg;26vg5/z6qzrmkfofect on /vhf0qrk;*g2g66 mu ryo5zzwthe system's mechanical energy?

  Doubling only the spto(h;xbcu1j u+g(z;k ring constant of a vibrating mass-and-spring system produces what effect on the system's mechanical+z1;t uc o;ubxgk(hj ( energy?

  A mass oscillates on the en4 qtg,iq q .(jjfdo4v:d of a spring, both on Earth and on the Moon. Where is the period the greatest?i,q o4f q(q.jdv t:jg4

  Increasing the spring constant k of a my3 nqq rpeh6s,8zo f65ass-and-spring system causes what kind of change in the resonant frequency of the system? 6fr he 3qs68nypo5q,z(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 dc prks4sr) -lfh /30wl+ es6ithe resonant frequ cl 0-ifl)/srsdkwsh +36rp 4eency of the system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system causes what kind of sntpdaa+ szvx c3: je d;406a(change in the resonant frequency of the system? (Assume no other changes z40 j63sevp:;aadx+a sc ndt( 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 atrc en1w:.1j*.o ;mup fk5nzhjtached to a weightless string of length L. 11 fk;zpm h:w.cnuj*.o jner5For this system, when undergoing small oscillations

  When the mass of a simple pendulum is tripled, the time required for one compg.jpvz/tw)1*0nue y(nk5s iov ,z o5dlete vibratid )vt,(o yzn/eskj*n5.5gwuzp0 1 io von

  Both pendulum A and B are 3.0 m long. The period of e7o*zh pto*g h),mo5/mp0oeaz; cs g6A is T. Pendulum A is twice asg5ce ,t*hoo6 mh);om /pz*z0peso7 ga heavy as pendulum B. What is the period of B?

  When the length of a simple pendulum is tripled, the time for o3r:.oliof p0rss6t rk lz,6 0ane complete vibration in r0fl, 3o:6tio s.sz0a6kprrlcreases by a factor of

  What happens to a simple pendulum/o yh/zc /s3uz's frequency if both its length and mass are increa/yh3couzz/ s/ sed?

  Simple pendulum A swings back and forth at twice the 7dk.vrr4ez fry5627os js: vlfrequency of simple pendulum B. Which statement ir e267j7zlfo 4dyksv v :s5r.rs correct?

  If you take a given peqbcl jb(96b5w6+a lm(vyz5vb:vq) xvndulum to the Moon, where the acceleration of gravity is less than on Earth, the resonant fr ywqvballbc+ q(z 6)6vb(vj95b xm5 :vequency of the pendulum will

  Curve A in Fig. 11-1 reprf-gsd1:q:spv5uomex 4n2 eiztw33a 1esents

  Curve B in Fig. 11-1o6l:tl2 t c9id represents

  Curve C in Fig. 11-11y1y,2 kq;dl imaqy9p represents

  For a forced vibration, the amplitude of vibration is found to -mq-o ugvshv+(6 qhn6depend on the

  In a wave, the maximum displacement of points of the wave from.6bm r e*vnzsh:/ h,j*qryo r qz3ah9jb60o,e equilibrium is called thr*30m:qojh,s 6n .vhye*/zb j9z 6 ,ar bqeorhe wave's

  The distance between successive crests on a w t17c saqje hq359wlp3ave is called the wave's

  The number of crests of a wave passing a point per unit time is callef0m9h *x mv0dmd the wave'sh mx0mm0d9f v*

  For a wave, the frequency times the wavelength iu, nyq (7owh7 jud:0-mne x3wps the wave's

  The frequency of a wave increases. What happens to the distance between sud m9i,9kun(u/ hj3hofccessive crests if the speed remfuu,m9k/ho 39idh( jn ains constant?

  A wave moves on a string with wavelength l and frequency f. A second wave ot z6qw0.hnuute, fe.5ke5+ jln the saz+u5tlej , hnf6 qe0.ew5t.u kme string has wavelength 2l and travels with the same velocity. What is the frequency of the second wave?

  Consider a traveling wave on a string of length L, mass M, and tensix f 3:bm+gp+5omkoswr(xx(. zon T. A standozpkf.m 3+grxw(+x s b:m5xo(ing wave 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 wave in wmy .5txvtxbbx,on g(pf,1 *) 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 ch5 mtg bt, xxxpy1,vw( )fo*.bnange in length?

  A string of mass m and length L is under tension T. The speed of a wave in th6tyhyy5lh+i 5e string is v. What will be the speed of a wave in the string if the lengt +yi5l5yythh6h is increased to 2L, with no change in mass?

  A string of mass m and length L is under tension T. The speed of a pfr 44: 4txtixwave in the string is v. What will be the speed of a wave in the string if the tens4tp 4:xx 4itfrion is increased to 2T?

  In seismology, the S wae 7c o l-0x9si6ol/mmave is a transverse wave. As an S wave travels through the Earth, the relative motion between the S om cl9-l/ o6es7ixa0m wave and the particles is

  In seismology, the P wave is s7o/25ybtrpnrcpw jc i)-79 da longitudinal wave. As a P wave travels through the Earth, the relative motion between the P wave and the partipr-d7r5y7s /np 92c)bwtijoc cles is

  The intensity of a wavep5zr3qfdiq;ui;p , q- is

  A wave pulse traveling to the right along a thi;tfl9d; ,sdpsn cord reaches a discontinuity where the rope becomes thicker and heavier. What is the orientation of the reflected and tran;f9spt,ds; l dsmitted pulses?

  Two wave pulses with equal positive amply*h 7t.n 5rp+em,rlih itudes 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 same region hi7eytmh 5.lp, nr*r+of space at the same time

  Two wave pulses pass each other9/sn rv2x tdt6 on a string. The one traveling toward the right has a positive amplitude, while the one traveling toward the left has an equal amplitude in the negative direction. At the poirt2vx 9 n6s/dtnt that they occupy the same region of space at the same time

  Resonance in a system, such4dekmy1py 52:7f) ldoc(*.f z yguyew as a string fixed at both ends, occurs when

  If one doubles the tension in a violin string, k /vs u/wvs,qc7kb,a4the fundamental frequency of that a4,/cq k7bsv vs,wk/ustring will increase by a factor of

  What is the spring constant of gssnz390 r5tbua0 g6da spring that stretches 2.00 cm when a mass of 0.600 kg is susp93g0n6s 0zg rbdtsa 5uended from it?

  A mass is attached to a spring of spring constantb(o0oprb n/bmi 917r l 60 N/m along a horizontal, frictionless surface. The spring is initially stretched by a force of 5.0 N on the ma rr1(0l/om7bi po nb9bss 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 z:,2-ckxqs p zconstant 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 oscillating. What is the period of oscilla- x :z,kpc2zsqtion?

  A mass is attached to a spring of spring concji/x/p1 u 7ug;ts -enstant 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 oscillating. What is the frequency of oscillatioc/s -gej1ip 7nt;uxu/n?

  A mass on a spring underet i27 .wg63mabzn0flhz ) 4yhgoes SHM. It goes through 10 complete oscillations in 5.0 s lfwhie m)z.g430ybnht z2 6a7. What is the period?

  A mass vibrates back and forth from the free end of an ideal spring of spric(7x pw0pto r(.2 nnftng 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 io( tpc.7x rnt2fw(0 pnts equilibrium position?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m alonlnz 4t;z j*i7jg a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s atn;z z tli7jj*4 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 at2:0ea kkp5mv7 2l,;)jvehhsaxuy0ba this time. The mass is2a5 b)00ak y2x keuehl7p , :;jvvsmah 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 nfbq6*1/z w(8 yo8tdxt1x pmbspring of spring constant 20 N/m along a horizontal, frictionless surface. T (8*/1tbpx8zytdmqn1 xfob6 whe 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 horizo0qmdqe z1:.tmlj d p3qomsw3d/;.9vdntal, friction d;mmdqqzqd:m0. v .wje3 9ld ost1/3pless 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 energy the same?

  A 2.0-kg mass is attached to the end of a horizontal spring omwl g ;gm)(fh (a+cn/hf spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the total mec amg/fm;()gh( w cl+hnhanical energy of this system?

  A 2.0-kg mass is attached to the end of a horizk8ifo y4rq9 )kontal spring of spring constant 50 N/m and set int kykf9q i48or)o simple harmonic motion with an amplitude of 0.10 m. What is the total mechanical energy of this system?

  A mass vibrates back and forth f)a/9 (xrtl pqhma0f/from the free end of an ideal spring of spring conmplf/fxq(ar 9ta0/ )hstant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring system is displaced 10ae*p4sb gbc- 0 cm from its equilibrium position and released. A frequency of 4.0 Hz is observed. What frequency* aebcsb4p-g0 would be observed if the mass had been displaced only 5.0 cm and then released?

  A 4.0-kg object is aq3vb(rjo kzx,:- b rgp 3v80 t +q2awl2zd1bdpttached to a spring of spring constant 10 N/m. The object itjd332pr- gbp,w +qvlkb01a x (qod8brzzv 2 :s 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 ,zwy *-ey + bp-zorp:qof spring constant 10 N/m. The object is displaced by q ,zy:pzpyo *+erbw--
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 constant 18 N/mls s6y.( -dlvv, displaced slightly from its equilibrium position, and released vs6y s(ld-vl.. What is the frequency of its vibration?

  A mass is attached to a spring. It oj +oz:qk6ev f0scillates at a frequency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and relekeqj+ fzv0o6:ased. What is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to different spv/ fww/;ib a+i* ge,yprings. 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;egp/wfiv*yi bw+ / ,a. How does the maximum speed of A compare to the maximum speed of B?

  A 0.30-kg mass is suspended on a spring. In equilibrdt jd62hjruz7 fb5 x.5ium 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. Calculate the period of ob t.7zhjx26 ujd5rdf5scillation.

  A 0.30-kg mass is suspended on a sph 0ck/ikohtg * :.ei5kring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then.0hh/5 koec*tgiki: k 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 suspendedl +2xbx-6:gl fd.woft 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 dowltb.lx6:f+ f2 -dogxwn its equation of motion.

  An object in simple harmonic motion obeys the following position ve36( lo9kp/ cj(l*mhpp;e cbqnrsus time equ(c3jn6ecpp* o pm9 hq; k/(llbation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the f l u1ip;yq1t0t)zla:dollowing position versus time equatio0 1)adi z u:1pq;ttylln:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion l 77xy yz9qn9 ,t0vmwsobeys the following position versus time equationywzv, qx m9yt9n70l 7s:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of w409 puaede8(hf)ty ya spring executes simple harmonic motion according to the eq)a 9fe84h( y0pw dueytuation $y = 0.50 \; \sin (18\pi \times t)$ 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 fb.v p-2i(8tfpe xa/ b8eo i. 9kaik(yk j24ztoorce constant of 20.0 N/m oscillates on a horizontal, frictionless track. At t= 0, the mass is released from rest at x= 10.0b.xe8btk-za foikay( oj4e29 p2(k i.ti8/v p 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 ar9-r. jgqo y;uge its frequency and per9-;ugjoq ry g.iod on Earth?

  A 3.00-kg pendulum is 28.84 m long. What is its period wg 03 (ybb)pt)nz oiiy (gg,f6on Earth?

  A pendulum has a period of 2.0 s on Earth. What is its length? cfq:r w9wu:d6;xc p0b

  The pendulum of a grandfather clock is 1.0 m long.s0gq+/dt/h pf What is its period on the Ear/sq+gp/t 0fhd th?

  The pendulum of a grandfather clock is 1.0 m long. What is its per e,gx, 9zpeqt1qjl :)hua5+jdiod on the Moo1gqel+h9, , q) a 5j:dejzxptun where the acceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg ghzql,d+1ix6a x 4- gfspherical mass attached to a massless string. When the mass is displaced slightly from its 1 a6d zxl,qf4- ihgx+gequilibrium 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 20-g mass has initial angular displacemx2 5t qj9duabo+.f ,z8 x4kymvent of 8.0e. It oscillates with a period of 3.0x oq8 t5mbz9dyk24+xv,f j.ua0 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 gittkkdo:bftl -7*0 hg/ eaih 59ven time. The frequency of the wave is 120 Hz. What is t l/ka*tg:i0-ofdb7h5 hktet 9 he amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frgk 0e (el6r,rfq5y ql*equency of the wave is 1,rlq0f 6 ye *(kqer5lg20 Hz. What is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency of th hb+; 4a6k1lsuo)5ii5gw3hsj)r k/m hdkex:ke wav skdhauxei6kb l ihg5k/r1 +sj5 wok)3;)m: 4he is 120 Hz. What is the wave speed?

  What is the frequency2ye 35um 1nha9ali ct/ of a wave which has a period of 6.00 ms?

  What is the period of a wave with a frokknih04 )1k kequency of 1500 Hz?

  What is the wave speed,ezi5 nkf(b(y4b8j,z i6nzk y if a wave has a frequency of 12 Hz and a wavelength of 3.0 m?bbje z(4 k6niy nyfik58(,z, z

  What is the velocity of a wave that has a wavelength of 3.0t3-3b 3(ci9vj *xjkqt7nzj qg m and a frequency of 12 Hz?jt3jg9iv*qc3(zkt-qb 73n jx

  What is the frequency of a 2.5 m wave traveling at 1-fbgp w8 xcvjxnw )5s3dic/ +(400 m/s?

  A piano string of linear mass density 0.0050 kg/m is under a te2n3 w/ah r- ,a is08fdbsodf7bnsion of 1350 N. What is the wahab2off7i b,r-3 0d/s 8sndw ave speed?

  A string of linear density 6.0 g/m is under a tension w)b3ud.,nj2 mugt:: dm aka2a of 180 N. What is the velocity of propagation og:mju mak )u 2:,t3addnb2aw.f transverse waves along the string?

A wave whose wavelength is 0.500 m is traveling downq8.s.rzt*p w e a 500 m long wire whose total mass i.erqpw8.zt* ss
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 propagal60ipv,vt3 hn8ia. hkpz. 9im tion of a transverse 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 frequency of thvhili tph80i,a ..pvn3mz69k is string?

  If a guitar string has a fundamental frequencya,ea1;- vvmmqad*k- p of 500 Hz, which one of the followinmv ,1*-ep;amvaa qkd- g frequencies can set the string into resonant vibration?

  A stretched string is observed to have four equal segments in a stand xc vosv0f7dqvzgcl(/)- 2e5p0u oy2s ing wave driven at a frequency of 480 Hz. What driup2eg7vf d0y(xq) 2l0-zv ocov /css 5ving frequency will set up a standing wave with five equal segments?

  A string, fixed at both ends, v6 7..kwdi tot;ypoy 4 hwhk47eibrates at a frequency of 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency is needed if the di.tok4 ye746hkt7 .hw yp;wo standing wave pattern is to contain 4 loops?

  A string of linear density 1.5 g/m is under a tension of 20 N. What shoulqb;jgb5v e (vp( :au ny6ty.+ud its length be if its fundame(v.uyvqyb ea ub:tj+n5; p g6(ntal resonance frequency is 220 Hz?

  Find the first three harmonics of am vt( yeckge21u(a ;9zu* (pkl string of linear mass density 2.00 g/m and length 0.600 m when it is subjected t (l 9 1zp(2et(kyvg*u eamuk;co tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. When thk s3wyw:mr0 tdji u nr9hxqhh19/7 5 -+piqga:e string vibrates at a frequency of 85 Hz, a standing wave wit071+wdxquiwmhpr-59gjti9ns yak/ hh3 q : :rh 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.