The time for one cycle of a periodic process isfnpnre tano4l(k0q*8kc g.(8 called the

  For a periodic process, the number of cycles per unit time is called th,f /q 7dtu(ybae

  For vibrational motion, the maximum displacemensmoea:(7req7ge +l4u knh 3:vt from the equilibrium point is ca qg4aks:m+eue r (7o:7lhenv3lled the

  A mass on a spring undergoes14ze2lf/5h*yc stvk d SHM. When the mass is at its maximum displacement from equilibrium, its instantanc5vtl y*f14e/ sdh2z keous velocity

  A mass on a spring undergoes SHM. When k0plc/b0x6ck*bixh ,q8*h -rwb z*methe mass passes through the equilibrium position, it*bk lh06ih0*cxwb8 x ce mb*qkrz-p,/s instantaneous velocity

  A mass on a spring und. 8hktd.yesk9)pv1a s ergoes SHM. When the mass is at maximum displacement from equilib savse8.y.t 91dpk)hkrium, its instantaneous acceleration

  A mass is attached to a vertical spring and bobs up and down betuhpy6s ;2m*r tween points A and B. Where is the mass loc6;tm s*ph 2uyrated when its kinetic energy is a minimum?

  A mass is attached to a vertical springmbye0l*l6 pu4,4 t.yy.dj(sk n g/ gaq and bobs up and down between points A and B. Where is the mass located when its kinetic energy is a maxims jnm0 ,gk6lel*yp.qg/t(bau . d44yyum?

  A mass is attached to a vertw, 5uecm5pv y m*2py8 fjm/pg:ical spring and bobs up and down between points A anwmf5*ujy:p / , m8e2mppcvy g5d B. Where is the mass located when its potential energy is a minimum?

  A mass is attached to auz4ey+d 9c0lnt5.ef:6 jtnd*+twub d vertical spring and bobs up and down between points A and B. Where is the mass loc5+ey*ducu.nt:tn0+ wf 96zd4e lt d jbated when its potential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-anvsj9yi 8 ,;1vb6pdznp m ;lez,d-spring system produces what effect on the system's mechanical ,1b9dm e; py,j;zz6l pnvsv 8ienergy?

  Doubling only the mass of a vibrating mass-and-sprbrqes i, f7,nnh9 c-5cing system produces what effect on the system'r,9f -enc qs c5hi7,bns mechanical energy?

  Doubling only the spring constant of a vibrating mass-and-i,9 (.gyo58yiwg ysr yspring system produces what effect on the system's mec 58s y9ygw.i,oy(ryighanical energy?

  A mass oscillates on the end of a juq.x +bea0c3spring, both on Earth and on the Moon. Where is the period the greatest?3a b.xc0q eu+j

  Increasing the spring constant k of a mass-and-spring system causes what kind kyk71jf9y /icof change in tyjcy/kik9 1 7fhe resonant frequency of the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system causes u,vt)y f1b,uywhat kind of change in the resonant frequency of tyb v,uf 1ut)y,he system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system causeo:;n, r 4 llzr/9cdrvzs what kind of change in the resonant frequency of the system? (Assume no other changes in the systvod r9l,z/n;c:z4l rr em.)

  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 vrt85h,hgd. te8k5 nh a mass M attached to a weightless string of length L. For this sv5hdth hek8.8g ,t5rn ystem, when undergoing small oscillations

  When the mass of a simple pendulum is tripled, the ti;-c u:z5-ywivxqk f; dme required for one complete vi5:ukiw ;qz-cf-yxd;v bration

  Both pendulum A and B are 3.0 mvr.g j2* p+,2p)dqkw gr .qtjd long. The period of A is T. Pendulum A is twice as heavy as penduj)rg.g j2dp*dq kvp., wr2 qt+lum B. What is the period of B?

  When the length of a simpleav4ky /*wg)1 e5 , eiqlw)z7zyvvou;u pendulum is tripled, the time for one complete vibration increa;,) zuvyy4ealk 51wviev*uwq7)goz /ses by a factor of

  What happens to a simple pendulum's frequency if both its length60h tk tdcr6y4am10w w and mass are increat6cym0416 dtw rahwk0 sed?

  Simple pendulum A swings tm+lrb)j,yc3kxf u ,sp.lm0zmq r-15 back and forth at twice the frequency of simple pendulum B. Whic,c+ )y m.jbfmq 3s5mr -0lu1xrtklpz,h statement is correct?

  If you take a given pendulum to the Moon, 86fm-wjcuvp(xtnem:v y / +7d where the acceleration of gravity is less than on Earth, the/-x+nywcp8jvt d6v7: ( uemf m resonant frequency of the pendulum will

  Curve A in Fig. 11-1 repres u 4j-/vew4sq6npgx2hents

  Curve B in Fig. 11-1 repwng+th g5b3 edo4b*u;2-ya nt+8on y uresents

  Curve C in Fig. 11-1 represent9k5 ju*dn7jz*ccu v)bs

  For a forced vibration, the amplitude of vibrat,eu ;3a.xiw dgion is found to depend on the

  In a wave, the maximum displacement of points of th 78 sy0ez6r4*ptiezbb mr*gb/e wave from equilibrium is call *isz t0z*em rrb7/64bp8egybed the wave's

  The distance between successiv/s jg-shyz7fo -- f3a9(h ccxu f0sv*qoat/3he crests on a wave is called the wave's

  The number of crests of a wave passing a pobb vfkyb( ,hj9bilz/ ,t /:oh+int per unit time is called the wave'vo bkj(hf9 b,hyz+// i,tbb:ls

  For a wave, the frequency times the wavelength is the wave'sj t:irm7v6:rm

  The frequency of a wave increases. What hapyz c9c*sr bt,e *f+;:xq/xi 2egzyrr9(cc w:x pens to the distance between successive e: esy*rxzx,gct c*z wyxq(ifcc29r/9: b+;r crests if the speed remains constant?

  A wave moves on a string with wavelength l and frequency f. A se9,uro q,txb 1u,pa/qvy.t9frcond wave on the same string has wavelength 2l and traubqr,1r . 9vtu/y pt9fx,,oqavels with the same velocity. What is the frequency of the second wave?

  Consider a traveling wave on a ; 4kehe*ni / lvk2kgge2+tl3ystring of length L, mass M, and tension T. A standing wave is set up. k i2vg k ;3tl*gne+/lhe y42ekWhich of the following is true?

  A string of mass m and length L is under tension T. Tv(x dd4di:ghp/n5vb.2 gcw c /he 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, with2 h b nvx5vg:igc /(4cdpwdd/. no change in length?

  A string of mass m and length L is under tension l: oy4 jmhz l/-9gemgs-og -m-T. The speed of a wave in the strigs-g y4 z emm:-l -jlh-oom9g/ng is 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 tensiba i2 bwzl*.)son T. The speed of a wave in the string is v. What will be the speed ais )b. z*wl2bof 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 travel;k,qltx *b:e d43 ajnns through the Earth, the e3;d tq, 4a:nk*jb xlnrelative motion between the S wave and the particles is

  In seismology, the P wave is a longitudinal wave. As a P wave travels through th9c0 e y hd6g7sf-k;pvq0z dln.fa;p j(e Earth, the relative motion c vs0fje y 0p9ph.fkzgad-d67ln q;;( between the P wave and the particles is

  The intensity of a wave vtv,8c ; 3: y-,kzc58urjodthyk 7pneis

  A wave pulse traveling to the right along a thin cord r88 xrk/uq-:mn e/nvwhy e j67seaches a discontinuity where the rope becomes thicker and heavier. What isx /6hw/7:se-vknje8u8q r nmy the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive aml:vd t lbd)j(j6a9edv ih(62 qplitudes 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 regionh:6 elq)(td2 (ajb6vd9jdv li of space at the same time

  Two wave pulses pass each other on a string. The one2s:yxg v:okl1 traveling toward the right has a positive amplitude, while the one ox:1yg 2k vs:ltraveling toward the left 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, occurs1-cqhc:hkzd6(g8x, 5n /foajk b7qqz when

  If one doubles the tensiu *nw3dvz)xvq0 +qf*;yq b6jion in a violin string, the fundamental frequency of that string w)6v iyq;uq0z x*b*3qfdjn+ vwill increase by a factor of

  What is the spring constantvmlqp; abw((fmm,qm .i p196-xzx . rg of a spring that stretches 2.00 cm when a mass of 0.600 kg is suspended from iwlvpm9 gx6m-a1x.;rmqm .(ibq zpf ,(t?

  A mass is attached to a spring of sjt/c9n:v;nti v s9 -,7hffaecpring 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 ,t/vnv9if 9 ntc;cajse:-h f7 the amplitude?

  A mass is attached to a spring of spring constant 60 N/m along a05dwv* +.m ec)y eemyb horizontal, frictionless surface. The spring is initially stretched by a force of 5.0 N on the mass and let go. 5yey* w 0m edmb)+cv.e 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 springc-a2go8wm)3e ku .2tlitlb+ y 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 lmu ltkw3by t) 2a-2ceog8+i .is the frequency of oscillation?

  A mass on a spring undergoes SHM. It goes through 10 complete oscillations in 4axaho1q4 3 ks5.0 s. What is the 4ksxq1a 43ho aperiod?

  A mass vibrates back and forth from the free end of t9nrju :)3/j*5ruxogh r.u u+ 0nvuvian ideal spring of spring constant 20 Nuj *nugv50u)n93rvrh:ut. r u/x ji+ o/m with an amplitude of 0.30 m. What is the 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 aloq d)n*c7bn fj)ng a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s at the equilibrium positiobcqd) j*nf) n7n. What is the total energy of the system?

  A mass undergoes SHM with amplitude of 4 cm. The energy is a7yu) u 5 -9n ,ukapl6gjdu ;ug2xnzs.8.0 J at this time. The mass is cut in ha7g -uu,u gj.l6n2uda9 px;ksz n)5uaylf, 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/m along a2s.y9,zr fieo horizontal, frictionless surface. ,f2r yiz9os.e 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 s19bhw ( )bwiknpring 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/k 9bb(1hw w)nis at the equilibrium position. At what location are the kinetic energy and the potential energy the same?

  A 2.0-kg mass is attached ;gsk4. f1p f 99eyrhq3qgugtw9/,yjzto the end of a horizontal spring of spring constant 50 N/m and setgyr f4y;9zek1thf9/., j u93 ggqwqsp into simple harmonic motion with an amplitude of 0.10 m. What is the total mechanical energy of this system?

  A 2.0-kg mass is attached to tunu5:kv1 6lw tg05o+rrnnb0 zhe 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 s01 b+ztu5onn w5ku lgnrr:60 vystem?

  A mass vibrates back and forth from the free ey11rp bvve (v x8cvwrbr+07 ,und of an ideal spring of spring constant 20.0 N/m with an amplitude of 0.250 m17ry (x 10w ,b epvucr8vrb+vv. What is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring system is displaced 10 cm from it yd on5d(+:am:waq;jc s equilibrium position and released. A frequency of 4.0 Hz is observed. What frequency would be observem(a co wnad yq:5j;+:dd if the mass had been displaced only 5.0 cm and then released?

  A 4.0-kg object is attached to a spring of springrko:arlvo0k:zt1 6e- constant 10 N/m. The object is displacekke 6r:rolv0- aotz: 1d 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 spriniuty :fk9 (p(ng constant 10 N/m. The object ipky(9( uf:nti s displaced 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 x4uk*cl ;hf34g k ,cy07uq qbf18 N/m, displaced slightly from its equilibrium position, and released. What is 4lu;fbfxk,4qq* 0y7hu ckgc3 the frequency of its vibration?

  A mass is attached to a spring. It osc0clp ;koj pg6/illates at a frequency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What is the ma6gkcpl /j; op0ximum velocity attained by the mass?

  Two masses, A and B, are attached to differen; ixlvq4:c8 amsc1 9bit springs. Mass A vibrates with amplitude of 8.0 cm at a frequency of 10 Hz and mass B ;4c9v8baqimic:sx l 1vibrates 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 equilibrium the +l a8iwn: z:v- zsrzn.mass stretches the spring 2.0 cm downward. The mass is then pulled z8ln: aisn.z- zrwv+:an additional distance of 1.0 cm down and released from rest. Calculate the period of oscillation.

  A 0.30-kg mass is suspended o y+iyiqc5ifhd ,:q;k6n a spring. In equilibrium the mass stretches the spring 2.0 cm downward.yq6i y,iq hf;dk5:+i c 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 suspended on a spring. In equilib y dh*49alr o,n)mqt4nrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional dis*nl,trah) 4n94m doyqtance of 1.0 cm down and released from rest. Write down its equation of motion.

  An object in simple harmonic motion obeys the folloy5de+lk(3bgb86n r tkwing position versus time equat y6 +krdlg tb38n5(kebion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the 1iarve)k+43wicfa 4. 4rakqd following position versus time equatiokaaq1r.e 3k wv)+i dc4a4i f4rn:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeysk(usgiarey9 b 549 miah ll/*4 the following position versus time equu 4iaem5 lyas(9/ i9l4ghkbr*ation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple harmonic motion ac-cmys 32ld:; rb; mdu4po wed;cordindum :d3-crmp ;oews2b4dyl; ;g to 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 forc wwb *o,5t.ngm(c y7txe constant of 20.0 N/m oscillates on a horizontal, frictionless track. At t= 0, the mass is released from rest at x= 10.0 cm. (That is, 7m yo*(g tcn5w.x ,bwtthe 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 itsv: : 6w *riczapmx44jo,igr0j frequency and period on 440ow vrj:,azxig*mpic :6rjEarth?

  A 3.00-kg pendulum is 28.84 m long. What is its period on Earth345 jjv j 3)9srqh)nhk9pr zddnqv (j5?

  A pendulum has a period of 2.0mu q(vvt)+j +t 3e(9nu(voihh s on Earth. What is its length?

  The pendulum of a grandfather clock is 1.0 m long. What is its qv*8a3d*yleiz xtmj/i 0u 3v8mr(jb0period on the Earthv t*dxa 338 ib800izm*jq/erulym(j v?

  The pendulum of a grandfathe:pzo 1ejlklfc):(p- tqm z/: nr clock is 1.0 m long. What is its period on the Moon where the acceleratioppm z t:: (-qczk1ne )oj/l:lfn due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg sp2ttcyz u4. kh-herical mass attached to a massless string. hk4z 2tyct u.-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-kg mass (same diameter sphere) had been attached to the string instead?

A simple pendulum consisting of a 20-g4.0o p+w7-gnd+h rzm6 obu vp 8ta:pjo mass has initial angular displacement of 8.0hodwv aog- 70nb:omp4pzjrp .8+ u t+6e. It 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 "snafu h(, wom/ eemy0.pygie7,4upshot" of a wave at a given time. The frequency of the wave is 120 Hz. What is th(,my uwp7geyomh,e4u /e.if0e amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frnw)*sm0n(r+g: 5xx 0tckci jc equency of the wave is 120 Hz. What isn c5gxw+n i0xr:st*0 cj)m(ck the wavelength?

  Figure 11-2 is a "snapshot" of a wave at o rb yx oj0pb.jnld5dx0.iinm66z7:dcc9a1 , a given time. The frequency of the wave is 120 Hz. What is tjnmioba67x doxz i n.:,6 ldrj0c05pc.1bd9 yhe wave speed?

  What is the frequency of so 5rylf zg 1tl4:0buqjao:8 ;a wave which has a period of 6.00 ms?

  What is the period of a wave with a frequency of d zq* ;g5qpy)gi2azu67ywwd q+j/g9r 1500 Hz?

  What is the wave speew vu,.dexm8 spcdl.5. d if a wave has a frequency of 12 Hz and a wavelength of 3.0 mmv..p dxs.8 ,ud5 wlec?

  What is the velocity;x dkggjo y;w,m k1f41si c:i) of a wave that has a wavelength of 3.0 m and a frequency of 1jf i 1sxg4:1mig;)koy k ,;wdc2 Hz?

  What is the frequency of aoa98;r gs lfjkd x9.1i9ap b-i 2.5 m wave traveling at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is under a tension oh2kpu3)ome4 t f 1350 N. What is the wave sk)2 o3p thm4eupeed?

  A string of linear density 6.h 7 qyd5fneopfo1 expy)k() 3zvu-a.: 0 g/m is under a tension of 180 N. What is the velocity of propagation of transverse waves along the sqz: e x1-(ap)en.ykodph5u 3f) v7o fytring?

A wave whose wavelength is 0.500 m is traveling down a 500vddy-8ltw2-5 b 1w4i yh xh-nq m long wire whose total massi- -42hn81bwd hxwd5 -yvqlt y 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 stri 3qj+tom)kxyu f08u5tn xg-)ing fixed at both ends is 200 m/s. Which one of the following is not a8o3)xmuqk )n- 0yji t5fgtu+x resonant frequency of this string?

  If a guitar string has a fundamental frequency of 500 Hz, which one59zo,igwn*u w of the following frequencies can set the string into resonant vib5 wi9z *u,gnowration?

  A stretched string is observed to have four equal s7 * yvk6fudgb.j:fd 2yegments in a standing wave driven at a frequenffd.kbd7 yu6v2 :j *gycy of 480 Hz. What driving frequency will set up a standing wave with five equal segments?

  A string, fixed at bothetshwf;(z9 t vs1;q2 v ends, vibrates at a frequency of 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency is needed if the standing wave pattern is to contain 4ssw;evv9tf 12q h(t;z loops?

  A string of linear d5m (xzygas7dh 0i*;uwensity 1.5 g/m is under a tension of 20 N. What should its length be if its fundamental x0g za;w5hiy7(umd*s resonance frequency is 220 Hz?

  Find the first three harmonics of a strinfse: ,-)1tsgedp0dd0y wt sf7k 6x6wvg of linear mass density 2.00 g/m and length 0.600 m when it is subjected to tew7 y 0 fg0seftw6):6ek,1ptx d- sdsdvnsion of 50.0 N.

A string of length 2.5 m is fixed at bothfd)nrj-t wo3 el*. g d*hcp7d0 ends. When the string vibrates at a frequency of 85 Hz, a standinj*)o w 7fdhrl dtdp-g.30e*ncg 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.