The time for one cycle ofggxz7v y3q 4+w a periodic process is called the

  For a periodic process, the number of cycles per unit time:br**waxx 3mitzj8j n2 )v* ee is called the

  For vibrational motion, the maxi4tk zl39s.r vj2 s8vxhmum displacement from the equilibrium point is called tt2k8.lx 3vvr szsh j94he

  A mass on a spring undergoes SHM. When the mass is at its ma0t:r+ oz(j b5rytvj x;ximum displacement from equilibrium, its instantaneoust tr xobry:(jj;05v+z velocity

  A mass on a spring undergoes SHM. When the mass passes thrpw*1r77ejs51 s wrfdcough the equilibrium position, its insta5*rswspr1c7efj 7dw1 ntaneous velocity

  A mass on a spring undergoes SHM. When the mass i z )/n2k1ejxlas at maximum displacement from eqnx1 2lkez) aj/uilibrium, its instantaneous acceleration

  A mass is attached to a vertical sp6nezaei;py2 5r 4**g ;srtszu/do 3tcik)li0 ring and bobs up and down between points A and B. Where isuizpc*y a;ein/5z)r6 eg24 k3 t;0dlo*i rss t the mass located when its kinetic energy is a minimum?

  A mass is attached to a vertical spring and bobs up and fo+)pdp)0wp pp :hj k a;sp9(dtt5x6m/b /qfqdown between points A anf5pkb6 pq9/)/0x( qdm:+wfj t;) shpapp otdpd B. Where is the mass located when its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up and down betweeno+mxp wrmjku-u657m 3 points A and B. Where is the mass ljo5u7+ 6 mpxm -rk3muwocated when its potential energy is a minimum?

  A mass is attached to a vertical spring and bobs up and d16192tw o) gc 3 adu3lql61kahbw gjbcown between points A and B. Where is the mass located when its j9w6tl1 1olgkcb ca ) 3awbh 16qdg3u2potential energy is a maximum?

  Doubling only the amplitude of a vibrating mass)b 6by*o r4jm m;podi/no0:th-and-spring system produces what /)jyom*bt nm6:h4; io0r bpdoeffect on the system's mechanical energy?

  Doubling only the mass of a vibrating mass-and-spr pf.6 kk bn-m 1p3l5r3lj rr*:owhonp3ing system produces what effect on the system's mechani o3 hln r3.3mkop n:fk6ppjwrr*l5b- 1cal energy?

  Doubling only the spfo l-:s jwb4*eh c9(tcring constant of a vibrating mass-and-spring system produces wh4ftc-s9wlbjhoec *:(at effect on the system's mechanical energy?

  A mass oscillates on the end of a spring, xs8h-rwe;d/iq yzj 5) )5j8:bxewkskboth on Earth and on the Moon. Where is the period the g) 8/e)zj55 w8xes-qkbx jirh :;kwydsreatest?

  Increasing the spring conp;i n.zy5:+flj, lhmnav w:q3stant k of a mass-and-spring system causes what kind of change in the resonant frequen+h v;mn ,l wfj5p::.3qz layincy of the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-cp vuy4ps9 62h*y2irbspring system causes what kind of change in the resonant frequency of the system? (Assume no change in the system's spring iyph9vy6*b2ru sp4 c2constant k.)

  Increasing the amplitude of /2zpq51 slzul a mass-and-spring system causes what kind of change in the resonant frequency of the system? (Assume no s5l pl1/qzz2uother 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 attachal)+umh9irfbk6*w f ,,cm yv3ed to a weightless string of length L. For this system, when undergoing* + mk,raf iv6fm3by9h, lc)wu small oscillations

  When the mass of a simple pendulum is tripleuhzv:;9k c4ani iuc17d, the time required for one complete 4vuha1ni 9ck;:cu7zivibration

  Both pendulum A and B are 3.0 m long. The period of A is txtu.6kg6aoqx,+mfvk -gh7 +T. Pendulum A is twice as heak vg 6f.,76htt qma-uogkx ++xvy as pendulum B. What is the period of B?

  When the length of a simple pendulum is triplp(plmxei d16wg7j-k 7y0e r0s7f9 gf9dpcgs(ed, the time for one complete vibration increases 0pmg fe ew9c lysk0j g77ps (x6g-p(r1d9i7dfby a factor of

  What happens to a simple pendulum's frequency if both its length and mass are in 9 62qe3zo2jfvbyp/ep creasjp9z2voeqpf/b 3 62ey ed?

  Simple pendulum A swings back and forth at twice the44 f:,: r2j tnrs9wxrvnrnp v2 frequency of simple pendulum B. Which statemftnxr rr:p,v nnj2 9 w42vr4s:ent is correct?

  If you take a given pendulum to the Moon, where the acceleration of gravi +y1;ipgizc,t v 6b1m b9k3terty is less than on Earth, the resonant freque+3by g tkcp9zb;rv1e ,ii6mt 1ncy of the pendulum will

  Curve A in Fig. 11-1 representsx2a,d 0rk0b8yh+f1 heaz n eh-

  Curve B in Fig. 11-1 represe fdz :ih0 l4oj+m 8afhe c69lzb+jgcei- 8no(,nts

  Curve C in Fig. 11-1 reprekov3 );mgdbi.lu* 9iuu2t65zdm y- vcsents

  For a forced vibration, the amplitude of vibration is found to depend on the.bl cp4o (/wtw)i go7l1ng3zk2 qfysp (v,o+d

  In a wave, the maximum displacement of points of the wave from equilibrium :-qu.yx*sp meis called the wavu:y.x p*m-e qse's

  The distance between successive crests on jc5hcl;em .s081ys jm4g5pfz a wave is called the wave's

  The number of crests of a wave passing a point per47l5d*as1au xbd9yz h unit time is called the wave'9as1x*u5yh4d azd7 bls

  For a wave, the frequency t gjj0 :9udnik69 09o1da vzgooimes the wavelength is the wave's

  The frequency of a wave increases. What happens to the distance betp34 0j;sxf(ekk hb/ hrween successive crests if the speed remains3bhj0f/p rek(hx k;s4 constant?

  A wave moves on a string with wavelenm.eu 85lbom+g,xlv + u*vlm( ogth l and frequency f. A second wave on the same string has wavelength 2l e( l+bou +m ,lo*v8lvxg5 mmu.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 tb;o3c y9 *bzvkdpatmtx7+ l6e-q6 z y/ension T. A standing /o;+eqk t pl*36z-vt6c xy7mbzd yab9 wave is set up. Which of the following is true?

  A string of mass m and lengthttql + 5paqxv5)y56ilmrq 44a 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 cha54)vpq54rqiymtl l5aaq t+ x6nge in length?

  A string of mass m and length L is under tension T. The speed of a wave irps+hjzb *tz13ix96tm v ynmvlg 7i83u 2e0;vn the string ism6sh xg9rtp ju+0bi3823 vv7zmte1lnyiv; * z 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 is under teeux -mur 3z4u4nsion T. The speed of a wave in the string is v. What will be the speed of a wave in the string if the tension is inc3-umz 4uu4ex rreased to 2T?

  In seismology, the S wave is a 2n* uc7odli ,tc2xf1z chs;-x transverse wave. As an S wave travels through the Earth, the relative motion between the S wave and the particlli hx-c;nox tcz1ud2c s*,7f2es is

  In seismology, the P wave is a longic,rz5j8cp ;ch b c8p/rgx+5x mnbpi55tudinal wave. As a P wave travels through the Earth, the relative motion between the ,n5cpgj/br5x8x;mb8pc 5c zprc5hi+ P wave and the particles is

  The intensity of a wc1psvc 0*-nl1bh wp;wave is

  A wave pulse traveling to the right alz-ge y ag9+-3wcjkh t;ong a thin cord reaches a discontinuity whe g-ja +yzgwkc-; 3th9ere 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 i(5kekn:n-tk on a string, one is traveling toward the right and the other toward the left. At the point that they occupy the same rekn:tei -nkk (5gion of space at the same time

  Two wave pulses pass each other on a string. The one travelingqcz mh 6ysrx da+,+m/7 toward the right has a positive amplitude, while the one traveling toward the left has an equal amplitudehq mc+,m d/y+s xraz76 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,o1*6 ,/ kzhro;foef-2yxmvx h occurs when

  If one doubles the tension in awl;e*1us+qs sw m 4pg+ violin string, the fundamental frequency of that string will increase by a l + egsus+m4 qp*w;1swfactor of

  What is the spring constant of a spring that stretches 2.0 fyjjr ;k8(1jk0 cm when a mass of 0.600 8 jkf(j1;jryk kg is suspended from it?

  A mass is attached to a spring of springg ki2,1jx xt3s 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 oscillating. What is the amplitude?t21g3 s i,xkjx

  A mass is attached to a spring of spring constant 60 N/m /;hl cv5ypstc8us jqw1v 8*a7along 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 thetpy7jsacs 8/ulh* 5vc8 w;v1 q period of oscillation?

  A mass is attached to a spring of spring constant 6gpfsxky62 :;l 0 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 equilibriuml6s x:gy pk2;f position when it is oscillating. What is the frequency of oscillation?

  A mass on a spring undergoes SHM. It goes through 10 complete oscillatiox9gjqlm1,5-o4/f9 bv8mu e rh6 gphwpns in 5.0 s. What is the pe 6,ro 1l9f bphe-4gmw58jqmug p x/v9hriod?

  A mass vibrates back ahp0, u2x. tuwlnd forth from the free end of an ideal spring of spring constant 20 N/m with an amplitude of 0.30 m. What is the ki0t hxw. ul2u,pnetic 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/mlj x p3(f7or3rkjhq :3b(k72bij i/ va along a horizontal, frictionless surface. The object oscillates in simp3q:r( oi hr(i2 v/ fb33bjlxjk akp7j7le 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 with amplitude of 4 cm. The energ3zrk j hx(u,/qy is 8.0 J at this time. The masx, zqrk(j/3hu s is 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 spring constant -4ee( nt86/tb m2w hvshkdul120 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. What is the amplitude b4 m( twdl/h2 s16-hn8et evukof vibration?

  A 0.50-kg mass is attached to a spring of spring constanqvg/0e p*i*yuq4ka6 bt 20 N/m along a horizontal6pg0e/ v b4q a*q*ikuy, 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 energy the same?

  A 2.0-kg mass is attached to the end of a horizontal spring of jamrc1 aiq 3upiy z;73 3*vwwr*5bb 0erp2nr;spring constant 50 N/m and set into simple harmonic motion wiu;rbrri5p*7 r3* ; apavmnqbj320 3cewwzi y1th 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 horizonttbtdu fd-qyqbgk 6-sj4-6b ;4al spring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.bg qbskt;4 yjdqdfu-- 4tb66-10 m. What is the total mechanical energy of this system?

  A mass vibrates back and forth from the free end of ijrwl5)o t9.3sv v6fw an ideal spring of spring constant 20.0 N/m with an amplitude of 0.250 m. fiv6 .wvs r)l 3ow59tjWhat is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring system is displaced 10 cm from.ppy *m/qlrusn2 4k3o its equilibrium position and released. A frequency of 4.0 Hz is observed. What frequency would be os 3rnoul/ y.pm *4qk2pbserved 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 10 gsnr u7ccqb5 t1do79- N/m. The object is di5- 7sgtd1rcnocb7 9uqsplaced 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 spri)s iedldrz39gl .(kn:ng constant 10 N/m. The object is rlis e9dl:.d)n3 (kzgdisplaced 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 constant 18 N/m, displaced 252b8u hv1-uudub. bba3w6zlk ne fg0slightly from its equg2lf- e aunv1.ubub 0b6w2k5ubhd 8 z3ilibrium position, and released. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillne e2vy l v khq1)/rbxm1:k0aab6/+liates at a frequency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What :)0a x/i l6yqk1h eb1/k vvr+l2mena bis the maximum velocity attained by the mass?

  Two masses, A and B, are97x sl huo g2,itr u:5 4vyvr*0qitd*y attached 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 cm at a frequency of 16 Hz. How does the maximum speed of A compare to the maxi*:0 h7g9i i4*os5tu,utvdqy 2rvr lxymum speed of B?

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass/tjosmx.u 5:0 s,pcz qe( pcj87ipk, x stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and released from rest msqci z.x tps0(k,j:p o7x/8e ,cu5jp. Calculate the period of oscillation.

  A 0.30-kg mass is suspended on ai(csobmago0/ gslma6+;k3uvy4yr zf6e1 :,l 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. Calculboa ur, (izms:sy3m/ 1lfg6vla 4co e0+yk6;gate the total energy of the system.

  A 0.30-kg mass is suspended on a spring. In equilibrium 7k zfoha-t/ gyc(4v ,hthe 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 down itsozh-yhfa/ gt,k v (74c equation of motion.

  An object in simple harmonic motion obeys the following position versus time equn*elsb+7 2vuuk v6ea/w(v 3jx atib6k+3evu * 2l we (sv7uvxa/jnon:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following positionydp/ukw;xb7zix) d vhlst n4 3:( u54s versus time equation:dsi p b4wx 7tnu h;k:(z uysxd4l35v/)
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys2e//hqr a3x :jk:l 2jpofa q.j the following position versus time equatiqxlj/rk o ae a32j 2fj/p:hq.:on:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes si kbt/kt)(rnk4qj p5z6 mple harmonic motion according to thepkb()t kkqzj5nt4/ r6 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 2n od,0p h0v./h6ctpixud6y.j 0.0 N/m oscillates on a horizontal, frictionless track. At t= 0, .0uhvd/p,inp xhd j .ty6co06the 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+sh.- 5 aw 3 ndm8np8hlz2kzth swings in 8.0 s. (a) What are its frequency and period on E.-zlt2n3dph8hk hz +n 5am8wsarth?

  A 3.00-kg pendulum is 28.84 m long. What is its period -v wps5fm cdx*juh lj2z/ ,g5-on Earth?

  A pendulum has a period of 2.0 s on Earth. W +d( k9inxq:fe am2q2uhat is its length?

  The pendulum of a grandfather clock is 1.0 m long. What is i*fona k8za-) 1 v(lgjnd6 )pwkg:0qbits period on the Earf (1 az jip6ga*w:n))-n0gkolkq8bd vth?

  The pendulum of a grandfath9 n1.z7gynpd/6 ajiy cer clock is 1.0 m long. What is its period on the Moon wheren.zp/d1jyc iy 79nga6 the acceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attached )xvam lx+/-xlto a massless string. When the mass is displaced slightly from its equilibrium position and released, the pendulum swings back x-x)m+ vlal /xand 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 icpu84u r4.u rof a 20-g mass has initial angular displacement of 8.0e. It our4uric8 . 4upscillates 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 jb.hcon*0i8o )1z, w b3zk3xb u-zlq ptime. The frequency of the wave is 120 Hz. What is the amplitudej)0o3zq-b8n zhl 3p xb,iku cz1w .*ob?

  Figure 11-2 is a "snapshot" of a wave at crl:wpeaw+ 88a given time. The frequency of the wave is 120 Hz. What is the wavcwew88l a +p:relength?

  Figure 11-2 is a "snapshot" of a wave at az- ne. o /qmyxr20j ffsw.v fw*:zd00q given time. The frequency of the wavr.d0 em* .:q0nw/fz0xfov-zyswfjq 2e is 120 Hz. What is the wave speed?

  What is the frequency1-4+trb71fdibabqgyym : / x y of a wave which has a period of 6.00 ms?

  What is the period of a wave with a frequency of 1500j 4 -o4ib6zole Hz?

  What is the wave speed if a wave has a frequency of 12 Hz and a wavelength ofhwr3 7/wpsuiwj 94m*3f mj z)l 3.0 m?hp)z7w 4 39ml*j wm/isfru j3w

  What is the velocity of a wave that ha m2t y)wk tb*n*i96iras a wavelength of 3.0 m and a frequency of 12 Hz? yin im)bw69t2t** kar

  What is the frequencyl717o n4phugu of a 2.5 m wave traveling at 1400 m/s?

  A piano string of linear ma)u y9) hvnji7ass density 0.0050 kg/m is under a tension of 1350 N. What yu9h) aji7nv)is the wave speed?

  A string of linear density 6.0 g/m i/sh0c-c;6/n 4*gqozb k dmbm zs under a tension of 180 N. What is the velocity of propagahzn db/skzcc40 6mom;b /q* g-tion of transverse waves along the string?

A wave whose wavelength is 0.500 m is traveling down:xr vli(*voy)6 x :/osp jt4fu a 500 m long wire whose total mass i (x)o 6 tlr/iu*v4:oy:v jfpxss
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 tra 5q1tzyt9 ttmaxpxy3,4)q uj5y7 9jabnsverse wave on a 2.0-m long string fixed at both ends is 200 m/s. Which one of thx qaqtjy79 b1u5j43tp)5 tty,my9 xz ae following is not a resonant frequency of this string?

  If a guitar string has a fundamental frequency of 500 Hz, 9vga -uzx6w7 ye83gnat*7 esrwhich one of the following frequencies can set the string into *y7a8t3vr zge-w se7xug 6n 9aresonant vibration?

  A stretched string is observed to have four equal segmenz6)ql lm;h a tvxtv.9.ts in a standing wave driven at a frequency of 480 Hz. What driving frequency will set up a standing wave with five equax;mv hq)za .l.t69 tvll segments?

  A string, fixed at both ends, vibrates at a frequency of 12 Hz with a s u e1m7 ct;ag,afkl-y1,kek o+tanding transverse wave pattern containing 3 loops. What frequency is needed if the standing wave pattern is to cont,eok,+y 7mf ugka1-cke1al ;tain 4 loops?

  A string of linear density 1.5 g/m is under a tension of 20 N.e; vsxb2v,cy ppil:5 1 What should its length be if its fundamental resonance frequence1ip2 cv:s5lv;pby x ,y is 220 Hz?

  Find the first three harmonics of a str 1tlkb;kpp t*/ing of linear mass density 2.00 g/m and length 0.600 m when it is subjected to tension of 50.0 N1*ktl/pkb pt; .

A string of length 2.5 m is fixed at both ends. When the string vibrates a3h(lwtu -kj -xt a frequency of 85 Hz, a standing wave wi-xuhltw3j(- k th 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.