The time for one cycle of a periodic process is calwpbuy,g :x-z-.8ey 8h ;s6 hc2gcfefwled the

  For a periodic process, the number of cycles per unit 1pzgi s)b;0kj n8,lyt time is called the

  For vibrational motion, the maximum displacemen6ebjii b g h)an1v1bf0(0+bg xt from the equilibrium point is ca1gb gxn(hb)ev6b1ij+ 0bfa0 illed the

  A mass on a spring undergoes SHM. When the mass is at its maximum dis:qc,csfihleu3; uwo7xu32z2 placement from equilibrium, its instantaneous cf3qe2z w3csil: xh ;7,ouuu2velocity

  A mass on a spring undergoes SHM. uk3 53ntj ax.e2 vj0ozWhen the mass passes through the equilibrium position, its instanta 2je.t35zuaxojn03 k vneous velocity

  A mass on a spring undergoes SHM. When t3 3i) tim5utqoma w:n4he mass is at maximum displacement from equilibr:5t)u q3noim 3mtw 4aiium, its instantaneous acceleration

  A mass is attached to a ver +w*4cfcp( ifetical spring and bobs up and down between points A and B. Where is the mas fc(ipf*+ew c4s located when its kinetic energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down between points A ap)ici+: t20jrh5 d:g5slwftznd B+ h)cz5dgts5: ftp0jwlir 2:i. Where is the mass located when its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs umaw dm on:+ft;9;u5lpcv 8c9i p and down between points A and plcu v;fw 9+8;ot5mi:a cmd9nB. Where is the mass located when its potential energy is a minimum?

  A mass is attached to a vertical s8b8a, 8kq t(y wshb*1wuenly6fc4d7qpring and bobs up and down between points A and B. Where is the mass located when its p,8 d 87 lkqch4ybnq(swe*twb6uyaf 81otential energy is a maximum?

  Doubling only the amplitude of d0gzdj tk a930 o4iaq0a vibrating mass-and-spring system produces what effect on the system's mechanical eneaadkg0 jz93 40oid0t qrgy?

  Doubling only the mass of a vibrating mass-and-spring system produces wsonmh; e5l- yt3.e2buhat effect on the sym sbo .;32eu h5-lentystem's mechanical energy?

  Doubling only the springra31xc( s1fn gzbtk;8 constant of a vibrating mass-and-spring system produces wst n3a18z kbx;f rcg(1hat effect on the system's mechanical energy?

  A mass oscillates on the end of a spring, both on Earth and on the,-n vkzfagy 9m 6c+zzwd .en;6 Moon. Where is the perio6z;zvndg9w-+zy fae m cnk. 6,d the greatest?

  Increasing the spring constant k of a mass-an7*f( w vi endtvf +r1yls61c68byt 9und-spring system causes what kind of change in the resonant frequency of the system? (Assume no change in the scn7 u8 evf 9rvb1l6 +*s(yd6f1 twnyitystem's mass m.)

  Increasing the mass M of a mass-and-spring s:qi m l agzwh2da -vu-nt.g(++pu,w:qystem causes what kind of change in the resonant frequency of the system? (Assume no change in the system's spring constap iuwld.quzm-a2n -t +(gg:aq: v+w,hnt k.)

  Increasing the amplitude oo jd rp-h-ib0:fku6ce650a u xf a mass-and-spring system causes what kind of change in the resonant frequency0h-x:roc-6ed i b kuu 5pj06fa of 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 attached to a weightless string ozdy,v syn+/ 1fec3b.4p wii.v f length L. For this system, when undergoing 4in b3 ysyvvep,/.f.1id z+wcsmall oscillations

  When the mass of a simple pendulum is tripled, the time required for8t(y+z- x0 bqjd an2eo one complete vibrao axdq(028 btez -y+njtion

  Both pendulum A and B are 3.0 m long..s1kr 7 xwmh -+ lts*y8skw;mq de50ge The period of A is T. Pendulum A is twice as heavy as pen+ k8 ts10hs smr5w-7xwy kg* elqm;.eddulum B. What is the period of B?

  When the length of a simple pendulum is tripled, the time for one completoj9-x ys+xnfy1 3nsd) e vibration increases by a factor ofns)x yndxo+9y3sj -1 f

  What happens to a simple pendp d otv-l1;l,hulum's frequency if both its length and mass are increa1h;-l lvdop ,tsed?

  Simple pendulum A swings back and forth at twice the frequency of simple penduluh7q*g3 s6czgrm B. Which rg z q36chs7g*statement is correct?

  If you take a given p vduy g945v(jfendulum to the Moon, where the acceleration of gravity is less than on Earth,fyv(59uj dg4v the resonant frequency of the pendulum will

  Curve A in Fig. 11-1 represfj12/d5qw. w 5nj vcteents

  Curve B in Fig. 11-1 re-x euw0azw+k;)k pnp0presents

  Curve C in Fig. 11-1 repb1eie,sa;a v+ resents

  For a forced vibrationut/ ib5zk 95xd, the amplitude of vibration is found to depend on the

  In a wave, the maximum displacementyn1lr3r w6u/nl;l)rt of points of the wave from equilibrium is called the wave';rn3l lrwnt /ly6 ru)1s

  The distance between successa(k .j6i5 np p,cgxg.aive crests on a wave is called the wave's

  The number of crests of a wave passing a point per unit time is r5 y.yiu i*,.x6facxw called the wave'i,ywarx. iux 6fc.*y5s

  For a wave, the frequency twxam3. q s(9dvimes the wavelength is the wave's

  The frequency of a wave increases. What happens to the didb y2,qt+:qqsl + rfs)stance between successive crests if th+t2 b:,qqsf)qlsyr +de speed remains constant?

  A wave moves on a string gyi e;w0x-u g34h7ojk6 lhc r56geh8ewith wavelength l and frequency f. A second wave on the same string has wavelength 2l and travels with the same vel cih6gh g7oe6yk0u 3e r xl5e84wh-gj;ocity. What is the frequency of the second wave?

  Consider a traveling wave on a string of length L, fr(2c gcr3.up3 x5cnamass M, and tension T. A standing wave is set up. Which pxnc.a(g32cc3r uf5r of the following is true?

  A string of mass m and length L is under tension T. The sphovor9:,3 koko ;/wkleed 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 change in length;vk / oo93lro:h,k kow?

  A string of mass m and length L is under tension T. The speed obbv2 (h* p li7h)sn5ejdxe1 *hf a wave in the string is v. What will be the speed of a wave in the string if the length is increased to 2L, with nhbi12(*h*j vs7l)bhde ep5xno change in mass?

  A string of mass m and length L is under tension T. The naf* 5xlm/7m ,mm+ v imr.3btiq3;fz+j d+lrispeed of a wave in the string is v. Wh ml+ft3+73axvim,ljmq*;/zdif5nm i mr+ .rb at 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. A-t7qf wk wi. (8t+5osr.:zssjq u4qins an S wave travels through the Earth, the ri :zq-.jsn8rit7o f4 ww(t+5sqqu.k s elative motion between the S wave and the particles is

  In seismology, the P wave l 10k23 vpe etnpb(e*jis a longitudinal wave. As a P wave travels through the Earth, the relative motion betweent 3eej2e*(pnv 1l0bpk the P wave and the particles is

  The intensity of a wave behcnc)(e-23sv xpz : is

  A wave pulse traveling to the right along a thi 3)logm4pio f4+ cqh/wn cord reaches a discontinuity where the rope becomes thicker and heavier. What is the orientation of the reflected and transmitted oq/hi3pc ow4 +l)4gf mpulses?

  Two wave pulses with equal po8-c.rqa2srho l* kg 0jkaq+b1sitive amplitudes pass each other on a string, one is traveling toward a-2 l c0rq8*ghsk+1qb ojakr.the right and the other toward the left. At the point that they occupy the same region of space at the same time

  Two wave pulses pass each other on a string. The one travelinj+opv-z zdk/2u,4n e/ yy:3nbf8u42vmlze o rg toward the right has a positive amplitude, while the one traveling toward the left has an equal amplitude in the negative direction. At then-u:p2f4on eyy+zk8or/dbv m2, zze4jv / u 3l 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, *o:, tbkkamo 3 afj65ooccurs when

  If one doubles the tension in a violic 2+c+tg rr*xcdkyk*k;()du kn string, the fundamental frequency of that string will **xkkt r; k(g 2+)ccycdr dk+uincrease by a factor of

  What is the spring constant of a spring that stretches 2.00f k*be5* xowp, cm when a mass of 0.60*o bk*5,pxew f0 kg is suspended from it?

  A mass is attached to a spring of spring conl :tmm*+vcyp+stant 60 N/m along a horizontal, frictionless surface. The spring is initially stretched by a f pm:+vymt+*lc orce 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?

  A mass is attached to a qt4 + (nttrpnuy2w,.ea)u;tcsq4 i7 hspring 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 ma w2 intq t(ey4rh7)+ct,4p; stu.nu qass 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 constant ao.(k ).lrqawb ,.el1ge(w7y gfjl a/60 N/m along a horizontal, frictionlelk w(g1. qb 7.a,(/ lgjo).felwreyaass 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 oscillation?

  A mass on a spring undergoes SHM. Ib5yj*/ekw6 jlzu 4sz-cw i0g)uism. *t goes through 10 complete oscillations in 5.0 s. What is the pei*wmzjk*cz-5w0/ eugs)il4 y.6 ujb sriod?

  A mass vibrates back and forth from the free end of an ideal springc il az.5jlh2rj(u9n iox7opf8+p o 8( of spring constant 20 N/m with an amplitude of 0.30 m. What is the kinetic energy of this vibrating masox2flhi(+j .78p8l zcjo(u r anp95ois 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 a hmz)gbqe(t6 ,horizontal, frictionless surface. The object oscil(hez q6tb,m) glates in simple 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 energy is 8.0 J at this tim6ka1dv nrw2e);ib ca:e. The mass is cut in half, andd: cri)ab 6ae12n;kwv 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 gf7 bxmo/:g vc :wkdm6de3/0 kof spring constant 20 N/m along a horizontal, bc//m3 em6kxgw:o7vd d :k0gffrictionless 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 of vibration?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m along axpbym ,b 2ib n;7)up7r horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 7;pbyb n)x ub i2m,r7pm/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 horizouyhlt3i /uk;xvv r3lzy:2( )untal spring of spring constant 50 N/m and set into simple harmonic motion with an a2ilyhu r :v3x/)z3u( uvkl; ytmplitude 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 hor l7k yi,m/t*rxizontal spring of spring constant 50 N/m and set into simple harmonic motiomyl* tkr/i x7,n with an amplitude of 0.10 m. What is the total mechanical energy of this system?

  A mass vibrates back and forth from the frc z l,)klmi)7lee end of an ideal spring of spring constant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kinetic energy ozlmkl))i 7c, lf this vibrating mass?

  The mass of a mass-and-s6vm 1 8nab*ufb 0vxjkz,uc5/xpring system is displaced 10 cm from its equilibrium position and released. A frequency of 4.0 Hz is observ 51z ,6xx kbu0c bum8vvfa*/jned. What frequency 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 spring constant 10 mdx+o h ib4r*9rwxo52i.9yj lN/m. The object is displad x92ry+hi54x9.mlbji o*orw ced 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 constant 10 N/m. The object i)zpty zr6 0hn/s displaced6/ tynrzzh )p0 by
5.1 cm from the equilibrium position and let go. What is the frequency of vibration?

  A 2.0-kg mass is hung fise 4zg-ji37s rom a spring of spring constant 18 N/m, displaced slightly from its equilibrium position, and released. What is the sgs-i73ejz i 4frequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequencrbb6 1p3kzra gdc, 9h*y of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What is the ma1hgzd,pc9a* r6b3r kb ximum velocity attained by the mass?

  Two masses, A and B, are attached to different springs. Mass A vibrates with ab c 65 92xiozlze4, uy.4ljatcmplitude of 8.0 cm at a frequency of 10 Hz and mass B vibrates with amplitude of 5.0 cm at a freque4u9yabztx254c ,ie. l jzc6olncy 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 mas 7k k0o0ig)mgbkb-*j bs stretches the spring 2.0 cm downward. The mass is t0b 0bijom7bkk)-k*g ghen 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. In equilibrium the mass stretches0b3cc z iu crbki;v5 i1:q9o7l 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 totaoqlc;irc19 53uzc ib 7:b0k vil energy of the system.

  A 0.30-kg mass is suspended on a st t)0o*i 2medh/hb .gspring. 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 dowo dt0i*)s2/hm.gt b ehn its equation of motion.

  An object in simple harmonic motion obeys the following position versus time eoy o,j:q(0du yquatio0q jy(yduo o:,n:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the follows w6jgj-cmkkx*,d*t yvw /g(2ing position versus time equat*k g cdsx(tvj ykg2-jw*/ mw,6ion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following position versus t f 5p2,ibr+w0ucgqcq5 ime equatigb+5p2qrfuw0q cc, 5ion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to thne)-8lj pk:bve free end of a spring executes simple harmonic motion according tv-e:b8n kl)jp o 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 forzv z*5,woy+:h 3okw esce constant of 20.0 N/m oscillates on a horizontal, frictionless track. At t= 0, the masko:o yhw z+*v5s3wz e,s 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 u ;ny3qzj /)gsin 8.0 s. (a) What are its frequency and peryuq;zs3 j)n/g iod on Earth?

  A 3.00-kg pendulum is 28.84 m long. What is1 tfz ugpcz 7j:d.hm,1 its period on Earth?

  A pendulum has a periorf)o5z +znay vb, 4utm- a /:scxyfens09r; x7d of 2.0 s on Earth. What is its length?

  The pendulum of a grandfath+;pvu )x*ei c2cwm/j ler clock is 1.0 m long. What is its period on the Ea;+vewjc*iluc2 / )xm prth?

  The pendulum of a grandfathe6b9i +su;zayjr clock is 1.0 m long. What is its period on the Moon where the acceleration due to gravity is a +z9 bsj;yu6ionly $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mgxzpw4f0tw6 h +e +eh(tlq( v-ass 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 frequetxq4w-p h(ew0+e (tgvlz6+ h fncy would have resulted if a 0.50-kg mass (same diameter sphere) had been attached to the string instead?

A simple pendulum consmev7x gh ,o63sisting of a 20-g mass has initial angular displacement of 8.0e. It oscillates wih3 gsvoem, 7x6th 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(mjln0 v()-vkk kmtj) time. The frequency of the wave is 1kj(()v0 m-m ntkl)kvj20 Hz. What is the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given t+ tbvi:hwubgc. n;1rh 1v0 a*eime. The frequency of the wave is 120 Hz. What is th0rt n gb.+1 :iu;*wbhhvvec a1e wavelength?

  Figure 11-2 is a "snawi8 t*,,y dbrkusiue79q 2e,apshot" of a wave at a given time. The frequency of the wave is 120 Hz. Wha7waeu, du* b92ri8t, qeyks,it is the wave speed?

  What is the frequenchcd3 1wy;;7+z i4l d jfw2jxpzy of a wave which has a period of 6.00 ms?

  What is the period of a wave with a freqt2:) oe9(tj wl4nqqov 0yg;reuency of 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz and aytj, (gf wr0(s wavelength of 3.0 mwj0(sf (r ,gty?

  What is the velocity of a wave that has a ) enf- +v:ldccwavelength of 3.0 m and a frequency ofc vcf+ ed:n-l) 12 Hz?

  What is the frequency of a 20j:ty3rrpp3s .5 m wave traveling at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is unde af-9lywhyw2 ai*9 mv2bivv-s,- yq;q r a tension of 1350 N. What is the waq 2v*awi-q,w9fliay-y ybv;m9h 2 sv-ve speed?

  A string of linear density 6.0 g/m is under a tension of 180 N. What is the -ss-1blaqs33 rzm0oa s/n mg5velocity3 n0als5q3rm bsgo/a z-1-ss m of propagation of transverse waves along the string?

A wave whose wavelength is 0.500 m is traveling down a 500 m long wire w9 v d.qit63fnddxd/ j d3v2eq:px)h*7 her3xxhose total mass hx)x9d7x:.qd e* dnv3rpd3qxe 2jt/d6vifh3 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 propaga2c 9s4 jzbqy2n- 35dodoo mmv7tion 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 om2v7so-jdz n4d9 2q b35y mocnot a resonant frequency of this string?

  If a guitar string has a fundamental frequency of 500 H-l/5 p bcbcduoq 5uwn2kq/)g)z, which one of the following frequencies can set the string intoql)cpw2kub5n u b-o)/ 5 qgc/d resonant vibration?

  A stretched string is observed to have four equal segments in 46,dvfdwi9 ;gwin)vf a standing wave driven at a frequency of 480 Hz. What driving frequency will set up a standing wave with five equal ffvidn4 ;9, gd6)wi vwsegments?

  A string, fixed at both ends, vibrateh0 xmtlks1 )/ks at a frequency of 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency is needed if ) h0xtks mlk1/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. What shouli bom901nm2b8t* z3p-uqxj fhd its length be if its fund 1pxqthm0n 2f*bo 3mi j-uz98bamental resonance frequency is 220 Hz?

  Find the first three harmonics of a string of linear mass densit/og4/(zn x9pvnr/gxwl 8ikt ; y 2.00 g/m and length 0.600 m when it is n o/9wi //gz ntlkx(vgx p48r;subjected to tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. pk q1:bb8h*f 8b a pt)phf9vxu*kmh(. When the string vibrates at a frequency of 85 Hz, a s8pf.b vfqmx hbb h1*au)pk(k8*: pt9htanding 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.