The time for one cycle of a periodic proc+pl*vkdf9cv )l5kz fw .n/f6 fess is called the

  For a periodic process, the number of cycles per unit t2m+sy p*6pheiime is called the

  For vibrational motion, the maximum displacement from th w4c ild(d:.cf/vzq-j e equilibrium point is called the:zv idq c/4d-l (w.fjc

  A mass on a spring undergoes SHM.a,4 hg)yirsgxx 8nt 1. When the mass is at its maximum displacement from equilibrium, ix.8h)t, x angr1gy 4ists instantaneous velocity

  A mass on a spring undergoes SHM. When the mass passes through thes/ -30bo w 7izy.r gfy5miee.n 28yoik equilibrium position, itk32y-e o5eiib.f.m /iy70yrwzg8sn os instantaneous velocity

  A mass on a spring undergoes SHM. When the mass is at q b1 9za*ac-*9aamghkmaximum displacement from equilibrium, its instantaneous acg b1maa-a 9*zq9*ahkcceleration

  A mass is attached to a vertical spring and bobs up2c+:i3j hcu)e ass co6 and down between points A and B. Where is the mass located when its kinetic energy is a mini j6iosu:2c+s3cae)c hmum?

  A mass is attached to a vertical spring and bobs up and down *kqxvj+(iettw u .n6-nc0z3h q4:swfunp 4-d between points A and B. W0c4+ .zp-n q vi:u(ent w4 3*uhtsqfj- dn6xwkhere is the mass located when its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up and down-adhbi)3sdx 9w7vl r 6 between points A and B. Where is the mass located when its potential energy is a mix69)vl -h3 wr7b didsanimum?

  A mass is attached to a verticalw1ht 8*/e ino+isnb+ nu+n-kd tmz rqil/y (55 spring and bobs up and down between points A and B. Where is the mass lk qi+1z/+ 5ni ltnyoei8n-5dmn +hu/ t*srbw(ocated when its potential energy is a maximum?

  Doubling only the ampcp5boow 0 2yd*litude of a vibrating mass-and-spring system produces what effect on tho20cdb5p o *ywe system's mechanical energy?

  Doubling only the mass of a vibrating mass-and-spring system q5gz/mw g9dew7lq 3p.produces what effect on the system's mechanical enw. q z 5wemd/g39lp7gqergy?

  Doubling only the spring constant of a vibrating mass-a :w/phti4mlhso .sf., nd-spring system produces what e /:s..lipm4f owhs th,ffect on the system's mechanical energy?

  A mass oscillates on the end of a spring, both on Earth and on the Moon. Wzzebo 8r6b1)r/l vgu1 r kb.6uhere is the peri1rgr)6z.vl6u/o zubk 8rbe1 bod the greatest?

  Increasing the spring constant k of a mass-and-spring sy x0i pwt lgy2h4/r*ftq3i3* wrstem causes what kind of change in the resonant frequency pfqt3w3ht w/*r4rxli0gy* 2 i of the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system causes what kind ogdf) ryo2w8fkdd p3;2f change in the resonant frequency of 3kd)2ypg;f2rw dd f o8the system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system causes what r1 /6- i6jlcarx)s qib4nw2ub kind of change in the resonant frequency o1b)b2irxua/ l 6n iw6jc4rqs -f 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 attachryh p qew4 /cr/.0u 9kf+fpd-hed to a weightless string of length L. For this system, when undergoing small oscilla4e dk p-.wc+ ry9f/qrpu0h/fhtions

  When the mass of a simple pendulum is tripled, the time required forfwd,x yxv,3s . one complete xy3,xswd .,vf vibration

  Both pendulum A and B are 3.0 m long. The per+ a ;smuybz7c;,7 uridiod of A is T. Pendulum A is twice as heavy as penr+dibcyz su;7a7;,m u dulum B. What is the period of B?

  When the length of a simple pendulum is tripled, the time for one complete viz)s1j ztxtzvy:9 h( (cbration increases by a factor c1z9 hsv((t :x jyt)zzof

  What happens to a simple pendulum's frequency if both its length and mvjuhux;+ (6c3u ia)e/mf w:amass are inuc+uufmaw3)j6(xhm / ; e:vi acreased?

  Simple pendulum A swings back and forth at twicc/z ys* dd1mr8e the frequency of simple pendulum B. Which statement is correc/mdr8c* syz1dt?

  If you take a given pendulum to 6x b i s4pycc..69pgakthe Moon, where the acceleration of gravity is less than on Earth, the r6yxbck.ag4cs .pip69 esonant frequency of the pendulum will

  Curve A in Fig. 11-1p.w+l .ltwg1tb(bu2 i represents

  Curve B in Fig. 11-1 represents*dmpd8lpv 6.*xr1 rc e

  Curve C in Fig. 11-1 reprexn58kq* jlo:w2mol( 3zx rc 5esents

  For a forced vibration, the amplitude of vibration is found p9yczx,ik6 *zto depend on the

  In a wave, the maximum displacement of points of9n zisf:ke5 8s(uy2:h(ekok, 9omfa y the wave from equilibrium is called the 9y9f( im kes5 2:zo8 n,fky:(hoeksu awave's

  The distance between successive crests on a wave is called the wave'sp/ckr.fe .ax;

  The number of crests of a wave passing a point per unit time is called the wave',ezy hz/d:n*whu x eu se07e+9*+e0hu,zex9 eu: z7nw dhys/e s

  For a wave, the frequency times the wavzyqo p+l8lk ch4h0.l0elength is the wave's

  The frequency of a wave increases. What happens to the distance 6f7*ybzjr fcpb93;r5qxp4uebetween successive crests if the speed remains cons;rf7pzbej59x *b6 4rfyqupc3 tant?

  A wave moves on a string with wavele. jen.grmk ;+yngth l and frequency f. A second wave on the same string has wavelength 2l and travels with the same velocrn ygekjm .;+.ity. What is the frequency of the second wave?

  Consider a traveling z6d m9yf*rv8e2qo73valh:vtlxeb;n)ra( e- wave on a string of length L, mass M, and tension T. A standing wave vxrzq faelm2ebe)3r *:dt8;y7anl v- vho69 (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 wavetaz.ycycov iqi2 dz/:k1 2.o4 in the string is v. What will be the speed of a wave in the string if the mass of the string is increased t:zyd o. aiy.4c2cztqo/ kvi2 1o 2m, with no change in length?

  A string of mass m and length L is under tension T. The speed of a wave 0nr+xo5drrf q4r 2ax9in the string is v. What will be the speed of a wave in the9nq0 24do r+rxra 5xrf string if the length 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 wave in 9ilez:s j8(jv3.nw)ls xmt 6fthe string is v. What will si:lewzxl 8) v93ts (jn6jfm. be the speed of a wave in the string if the tension is increased to 2T?

  In seismology, the S wave is a trazo- 3g,offc :l +;gdqensverse wave. As an S wave travels through the og+off ;:d ,gq-ze l3cEarth, the relative motion between the S wave and the particles is

  In seismology, the P wave is a longitudinalar j2deoyk,fv on+a+ *m0ao1 0 wave. As a P wave travels through the Earth, the relative motion between the*m,0krdoa+1o0y a a+2of vnej P wave and the particles is

  The intensity of a wavpuv oy/-5 4iqle is

  A wave pulse traveling to the right along a thin cord reaches a discontinuity wis) pyr1 g(j0up72gh mhere the rope becomes thicker and heavier. What is the rm psupigg)0j 21h( 7yorientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each other on b;1.xig*nu mv9f8 r i m-jhrs/a string, 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 8x1gs* jrm;hm 9ib.i-rnfv /usame time

  Two wave pulses pass db +tyei+8u v 5vpdgs-qu6i24each other 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 point that they iut5q2 46 vyd-s+gdvb8pi eu+ occupy the same region of space at the same time

  Resonance in a system, such a ,j kt-ogh0yi2s a string fixed at both ends, occurs when

  If one doubles the tension cgjna1 m3 sw3nn+ei e9+.x73igk 5zegin a violin string, the fundamental frequency of that string will increase by a factor si 1ecg3.ej3 k+5nxwnz3eg+niag 97mof

  What is the spring constant of a spring e iuzud-o8siud *dsug0*5a 27 that stretches 2.00 cm when a mass of 0.600 kg 5sd-uidedg8u0s2uu7z a*oi* is suspended from it?

  A mass is attached to a spri13ty yd9n) esd+ hf.mang 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 mass and let go. It takes the mass 0.50 s to go back to its equilibrium position when it is oscillating. What i3tyy)am hdd1e+f .9nss the amplitude?

  A mass is attached to a spril zagkxnu1cz h3eyysf;70.3-q;h+ oo wrd2a7ng of spring constant 60 N/m along a horizontal, frictionless surface. The spring is initially stretched by a force of 5. 2qr1; -sec3 xd.7 y7lk3 onagz;hyz+ohwfa0u0 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 conf7k5+m+*rjnsb om vr3stant 60 N/m along a horizontal, frictionless surface. The spring is initially stretched by a force of 5.0 N on the mass and lebr+ j+fn*5 37ovrs kmmt go. It takes the mass 0.50 s to go back to its equilibrium position when it is oscillating. What is the frequency of oscillation?

  A mass on a spring undergo0ypeojff a f-:s 80c;ies SHM. It goes through 10 complete oscillations in 5.0 s. What is the period?ce0 ojs-if ayf8 0:f;p

  A mass vibrates back a m:)it-zh(2 /kqau zdrnd 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 kinetic energy of this vibrating mass when it -rz( mqi:)duta/ khz2is 0.30 m from its equilibrium position?

  A 0.50-kg mass is attached to a u:zz+ 9dg9ptr;wpe:( q3p sz hspring 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. What isu9 d:;ez qp:tpsrzzg3 +( hwp9 the total energy of the system?

  A mass undergoes SHM wilvhp r pljed.5l:by) /(g q(2tth amplitude of 4 cm. The energy is 8.0 J at this time. The mass is cut in half, and the system ip :l(yl )b2/jvt.ql5e hdp (grs 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 *h 1+w1ge5od(roffdw ld+as .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 equilibriumww(+ae1*d+sf h .g5o1o frddl position. What is the amplitude of vibration?

  A 0.50-kg mass is attached to st+g3gg,v,yeun)n q 3a spring of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed,+ 3 ,ynsguevgqn) t3g 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 attac pvo6(hml3dyco1l +*w hed 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 this l16(yovdw3 hl*+cm op system?

  A 2.0-kg mass is attached to the end of a horizontal p79xs* :t ly8mzsjuy7 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 emy 8u7z:js sytp7l9 x*nergy of this system?

  A mass vibrates back and forth from the free end of an ideal spri5ha88c6n:nsxs t r. pfng of spring constant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kinetic energy of this n: rapfnt x85s. s68hcvibrating mass?

  The mass of a mass-and-springz zkut4bbtw/0nr f *01 system is displaced 10 cm from its equilibrium position and released. A frequency of 4.0 Hz is observed. What frequency would be observed if the mass had been displaced onl0t n 4*kf /1rbztzbu0wy 5.0 cm and then released?

  A 4.0-kg object is au1,ux 5gb8tsm ttached to a spring of spring constant 10 N/m. The object is displaced b,5msu 1g8xut 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 vbeobr/-p4ggqo3u x afg:51-x npc .1constant 10 N/m. The object is dis4qpnb51xg-bg vc-/.puef:rgoo ax31 placed 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 springxipvid zf8ne23c g *t3f+n;-w of spring constant 18 N/m, displaced slightly from its equilibrium position, and released. What is th i;3+d*cxtzg2ef v8 n iw3-pnfe frequency of its vibration?

  A mass is attached t-ynkpwzn g 7 on;rc,i)z 8ni(9o a spring. It oscillates at a frequency of 1.27 Hz when displaced a distance of 2.0 cm from , zip n r9-7)( ;8znywngkconiequilibrium and released. What is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to different springs. Mass A vin0ug qd - 9p fl:x:v*+tz4kwscbrates with amplitude of 8.0 cm at a freqp kq0z:cvx+ fwn-* 94ug :dlstuency 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 maximum speed of B?

  A 0.30-kg mass is suspended on a spring. In equilibriumd9:(q v6vrrldq;*vtj the mass stretches the spring 2.0 cm downward. The mass is t*rj lt9(q:6vr ;dqvvdhen 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 spf5pb 7wt 4bxs2ring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass isbwb fx4t2p57s 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 suspended on a spring. In equilibrium w:; ue.g*ntua 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 down its eqw* tgae ;nu.:uuation of motion.

  An object in simple harmonic motion obeys the following l us:i)ud)x*; fv a)rmposition versus time equation:sxvd)f;a*r: ) uul)i m
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the followingn(aid2w g, l b0v y2p7*amlg,c position versus time equation:ay*i n wlgp ca,(,gdl2 v2mb07
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic fa/ojm:s llby 8 +t4c ,yl3wn5f 9t;kxmotion obeys the following position versus time equat;9nc3f x,b :yoltmfsj 5l lat8w/4k+yion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple(r *l*a10g hcw+ meajikce03b harmonic motion according 1b (el*03acrgjwck0* h mai+ eto the 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 force2(2qd.jr ufp lf *6tqf constant of 20.0 N/m oscillates on a hod l2 6rq2(jqf.uff*ptrizontal, frictionless track. At t= 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 are its fruot2 ;rk*bdu(evwe90 /nikp ,equency and period on Earoue(v 9;2nptkiw,*e d/r b0ukth?

  A 3.00-kg pendulum is 9j 1tcj42efcvj-xd5g 28.84 m long. What is its period on Earth?

  A pendulum has a period ofw*0zcxvsxuq1+e,1327 b1i ylm/ rgyxa qts:g 2.0 s on Earth. What is its length?

  The pendulum of a grandfather clock is 1.0 m long. What is its period on the b.4qgaid iyfn j* .5m3Earth?4yiidam*jq.5 b3.ngf

  The pendulum of a grandfather clock is 1.yyn ) 8x y77lgf(evfl2udv.m.0 m long. What is its period on the Moonyd fly2y vf7unv 87em.g) .lx( where the acceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg pqoboph wg asu;,kp)4)) s9t )spherical 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 frequency would have resulted if a 0.50-ko o,)pusb) ;gt a4 pp)q9whks)g mass (same diameter sphere) had been attached to the string instead?

A simple pendulum consisting of a 20-g mass has initial 3oub**gza qp d9tao0*angular displacement of 8.0e. It oscillates wiot*aqdaz0 pb 9*o*u3gth 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" of4a; xnm u)3vuf a wave at a given time. The frequency of the wave is 120 Hz. What is the amplianx) muv;4u3ftude?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency ofb3 s4j012szv2 mqwygf the wave is 120 Hz. What is the wave0sm12qjzvgf wb 3s2y 4length?

  Figure 11-2 is a "snapshi9obt m71tw:qus +fq 8ot" of a wave at a given time. The frequency of the wave is 120 Hz.197i8sbmuwftt o qq: + What is the wave speed?

  What is the frequency of a wavlk(j)-ury zy0a 1d:y p86fil.rud 6yf e which has a period of 6.00 ms?

  What is the period of a wave with a frequency of 1500 Hztw rl-ojj29 8g6(ujj huwrm *;?

  What is the wave speed5dii qx5t5.xunbh m4 . if a wave has a frequency of 12 Hz and a wavelength of 3.0 m.4.qihn 5uxx 5btdmi 5?

  What is the velocity of a wave that has a *2rxd.. aqgc 8na rhg3wavelength of 3.0 m and a frequency of 12 Hz?a2cra*gg.dqh. 3r8n x

  What is the frequency ooixgymnuq3d6v4/lagp 0, : 9bf a 2.5 m wave traveling at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is under a tens(he):uxdg ixr 9e g)y)pb;e- mion of 1350 N. What is the wave speedp(dum-h 9xyxg)e)b) re:egi;?

  A string of linear density 6.0 g/m is -*u 2xb8jvjy 0au9zjtunder a tension of 180 N. What is the velocj xau vzu0-2yjt 9b8*jity of propagation of transverse waves along the string?

A wave whose wavelength is 0.500 m is traveling down a 500 m long wirrb 1evwb2) *u-fw8cyco;n aa5e whose total mass ib*a8b2 wvc ; )er1ucan5 wof-ys
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 o k 8l)m2ebclgpii: .8transverse wave on a 2.0-m long string fixed at both ends is 200 m/s. Which one of the following is not a resonantgbi .oeci 88:2kmlp)l frequency of this string?

  If a guitar string has a fundamental frequency of 500 0utt-j3p zd u+: 3udoyHz, which one of the following frequencies can set the string into re+3 tt3udju -p zyod0u:sonant vibration?

  A stretched string is observed to have four equ0;wt q gw/hxl):lf* gpal segments in a standing wave driven at a 0h:xl tgw;g*fq)lw/ pfrequency of 480 Hz. What driving frequency will set up a standing wave with five equal segments?

  A string, fixed at both ends, vibrate 05+p e:noi9msljrur9h-0 lyes at a frequency of 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency is neede+ohluji:rr9 e0p0ns 9y5em - ld if the standing wave pattern is to contain 4 loops?

  A string of linear density 1.5 g/m is under a tension of 20 N.i ; 2r:wxvx fh 0orbrqv2bs o3+186bol What should its length be if its fundamental resonancr2vo l:;3 h12q8xf rswo+ro b06b xibve frequency is 220 Hz?

  Find the first three harmonics of a string of linear mass densitap:5 hot4x;yikky(g( y 2.00 g/m and length 0.600 m when it is (x 4(5pk:;yoyagkht isubjected to tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. When the string vibrates at a)st .2/zjxd1c 2rv( z pyk8nwm frequency s z21)zvx8/cy2mnpr td .w jk(of 85 Hz, a standing 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.