The time for one cycle of a pp:rox-pou12k 5/mj ow* j-slveriodic process is called the

  For a periodic process, the number of cycle ,hm 2)uz3wez; ihbne:e-v4 wps per unit time is called the

  For vibrational motion, the maximum displacen2ea0 8aq h 6mwy*z+pcment from the equilibrium point is called the*zaycw+ apqhn2 08e6m

  A mass on a spring undergoes SHM. zmnsw7btrz w(7.;fr ( When the mass is at its maximum displacement from equilibrium, its7rwb7fz zr ( twmns(.; instantaneous velocity

  A mass on a spring undergoes SHM. When the mass passes through the equiq hhc5 wk yng6t5h:h:m; as*7vlibrium position, its instantaneomv kchha5gh:w7qy5t *s;: h 6nus velocity

  A mass on a spring undergoes SHM. When the mass is at maximum dis 3ceeg5qmn2d9k. uwb9placement from equilibrium, its instantaneous w3e99 b g5mnuc2d.qekacceleration

  A mass is attached to a vertical spring and bobs up and down betwee3qw ,e7f k(tacmj3 q3 8wr(jxfn points A and B. Where is the mass located wjaq em 3 rwk8q3x(wc(f3,7tjf hen its kinetic energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down between pod5hi 9 m-ane-o3 2dp.ebem+2:sxr cbkints A and B. Wher. her me5- dck23ob 2 -md:esibpa9+xne is the mass located when its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bpz /o232dvim uobs up and down between points A and B. Where is the mass located when its potential energy is a minimu d2um3i2op z/vm?

  A mass is attached to a vertical spring and bobs up and down between poin3 gmo:wkak+ .zu,s2 odts A and3oaum:, 2g w .+koskzd B. Where is the mass located when its potential energy is a maximum?

  Doubling only the amplitude of a vibrating m65n3omlm882 vycoayzass-and-spring system produces what effect on tzov3lymmc 8285o ay6nhe system's mechanical energy?

  Doubling only the mass of a vibrating mass-angx(bfh 5cox( nwwb (0n; fgtflvd,hw7w*f-6*d-spring system produces what effect on the systemfwdw,-h 6*lbn x7x 0oc; 5( wv(f n*(fghbgtwf's mechanical energy?

  Doubling only the spring constant y)uh*36-( 1bm :nkz2hhh 2edahb anjvof a vibrating mass-and-spring system produces what effzhe*-1j6n)3ud hy: ak ha vh(b2b mhn2ect on the system's mechanical energy?

  A mass oscillates on the end of a spring, both l96ewnr o+yqlgz4 4,yon Earth and on the Moon. Where is the period,+w4rql69nlgzy o ye 4 the greatest?

  Increasing the spring constant k ot:5/l lfon9mcfxgc+ 8 f a mass-and-spring system causes what kind of change in the resonfcm8fo5+ 9clg l/xt n:ant frequency of the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-a6 j h*oxff7 phbtf*y9 mp:p1u/nd-spring system causes what kind of change in the resonant frequency of the system? (Assume no change in the system's spring constantbh6o p7mux9* j1f/pp*tff yh: k.)

  Increasing the amplitude of a mass-and-spri6c gqp+in9jhg d:t *hq) n-(stng system causes what kind of change qtpg+- q9g(:t hc*6dhnnisj) in the resonant frequency 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 k.z4(9 rw(z9rnmhp(iul v9krv( p u*ea weightless string of length L. For this system, when undergokivm(rr lr4(9 v99. upzhnuz (k(*pewing small oscillations

  When the mass of a simple pendulum is tryno,/2ek/r nkeyt7xc1;f5x t4h) r xcn9jb5n ipled, the time required for one complete vibratione1nkx r n2c)ht br5/4 cyf,yok x5et jnx7;n9/

  Both pendulum A and B are 3.0 m long. The n1;) :m,ow/bzr9 u grps1iuwgperiod of A is T. Pendulum A is twice as heavy as pepno,wu i)m rg;gbz: 9w11/sur ndulum B. What is the period of B?

  When the length of a simple pendulum is tripled, the-q w3u1h xcikif pu5( 3,ncb8b9tnh:d time for one complete vibration increases by a factn 3(dt i:-h,pw3ck qfub 5ch 8niu9b1xor of

  What happens to a simple pendulumlym4sd 3/-d3 q8itvgzx,vel8's frequency if both its length and mass are increased /qx8l gesmd y33- iv,l8zvdt4?

  Simple pendulum A swings back and forth at twice the 8c)iw zp vq ;bqxi;n;gy+ o: x(q0cy:vfrequency of simple pendulumcxp0;; : ); w:gx +(zocviqqyniby8q v B. Which statement is correct?

  If you take a given pendulum to ti;zs1y g,i4 lkhe Moon, where the acceleration of gravity is less than on Earth, the resonant frequency of the pendulum wiiy1gi;4, kzl sll

  Curve A in Fig. 11-1 rxf 1hdm-uu -9h+t,o hvepresents

  Curve B in Fig. 11-1 repnai j g0yf1f-7resents

  Curve C in Fig. 11-1 ruzxd9nm/awk 8*okx 36epresents

  For a forced vibration, the amplitude of vibration is found to dm b0r.rt+bgy2s e;)lvepend on the

  In a wave, the maximum disple y8 -ow; zgpki/25gjwacement of points of the wave from equilibrium is called the w pj/y8g2 ow-kw; izg5eave's

  The distance between successive crests on a wave isq,hc+;vf ti x+/t4 raj called the wave's

  The number of crests of a wave pa 0merc,. z1l; cw3uhov6(gs:p)) syqnlh0ud essing a point per unit time is called the wave'ssqulz0)c6 ;e0v:ch3ye hnr1dg)lm(.s upw,o

  For a wave, the frequency times the7o8c.a( idh2jr0 qc g(r2nio l wavelength is the wave's

  The frequency of a wave increases. What happens to the distance between succes +nce+ffsp.0esive crests if the speed re0+ep .scf fe+nmains constant?

  A wave moves on a string with wavelength l and frequency f. A set xiit36 - nvp5cw5.zq1tg0esq*w r o4cond wave on the same string has wavelength 2l and travels with the same velocity. Wrcpvxn iw* -43 wsq1gqt65 5 o.ti0tezhat is the frequency of the second wave?

  Consider a traveling wave on a string of length L, mass M, and tension T. d2:d,,s geandir+su3 A standing wave is set up. Which of the fo ad, sd,+nd3ge2rius: llowing is true?

  A string of mass m and length L is under tension T. The speed of a wave ib j2;b*uyj,jbttsj h,;j 1-pmn the string is v. What will be the st b,;jh2bbj;*,-j1 jusjmyt ppeed of a wave in the string if the mass of the string is increased to 2m, with no change in length?

  A string of mass m and l-0lc r, nn5 qx kho7oh3gat4t-n 2aw5uength L is under tension T. The speed of a wave in the string is v.wh-, xo l-53tcqtkann 7anu g05h2or4 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 tension T. The speed of a wave in th8 qf3yo66bf qempw)m 4e string is v. What will be the speed of a wave in the string if the tensioq8fwm36qf )pmo6 y b4en is increased to 2T?

  In seismology, the S wave is a trccfn0y+y qi6sdm()xe mig /4 :ansverse wave. As an S wave travels through the Earth, the relatie0xycyi )dnm4f: q/gcs6m i+(ve motion between the S wave and the particles is

  In seismology, the P wave is a longit/isn* ,/kzhqceh7e : e;uj gy8qu i6/uudinal wave. As a P wave travels through the Eieue/y7/;h8 i:*zqj u/c q,k6 enuhs garth, the relative motion between the P wave and the particles is

  The intensity of a wave9 u t14fisx3rn is

  A wave pulse traveling to the right along a thi*kf0s g2 75j)ork y:b/dcxb/e 2g owpen cord reaches a discontinuity where the rope becomes thicker and heavier. What is the orientation of the reflected and trak0p7ogj y g5 x2*/)wecd2 eo/sbr:fbk nsmitted pulses?

  Two wave pulses with equal positive amplitudes pass each other on a string, o hnwv+5 c3d+tmne is traveling toward the right and the other toward the left. At the point that they occupy the samem5+dv w ch+3tn region of space at the same time

  Two wave pulses pass each other a62:x0xtvw6kgs7jv)l a9j yu on a string. The one traveling toward the right has a positive amplitude, whil)0:9 uv76w 6ajvygst xx lj2ake the one traveling 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 at4h6( )vn ra31v )s qik6lkacrt both ends, occurs when

  If one doubles the tension in a violin string,fle hr47)+kwpc hc fso 4/-+si the fundamental frequency of that string will increase by a factor ofos-p 7hr) f/k4eci wfh4 c++sl

  What is the spring constant of a spring that stretches, wkjm .v9.eiefhs) 8ybv4k n) 2.00 cm when a mass of 0.600 kg is suspended 9 keivw)bs.jk y)fh4 vm.8,ne from it?

  A mass is attached to a spri (lh, 7 -eubk/pkoypm9lphn 17ng of spring constant 60 N/m along a horizontal, frinu o9lh(pb17-my/pkpe,hl 7 k ctionless 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?

  A mass is attached to a spring of spring cons zhim61.p+nq ctant 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 equi1 pmh+q6ncz. ilibrium position when it is oscillating. What is the period of oscillation?

  A mass is attached to a spring of spc(/s(h l8xd-q+lmki rfgc7, sring 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 equ- cr+xscd /lg,q7k( fi8h lm(silibrium position when it is oscillating. What is the frequency of oscillation?

  A mass on a spring undergoes SHM. It gofj- 7++v hbq2smb7bjm, :snd qes through 10 complete oscillations in 5.0 s. What is:vsmj+bs2 d,bq7+f hqnj-mb7 the period?

  A mass vibrates back and forth from the z 35vg8r9dmrf 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 is 0.30 m from its9r r vg8f3zdm5 equilibrium position?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m along a horizm4fcaf pgiho:-dc .-a;e)w(hontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s at the equwhfmad - ch()-4a i.e:;pf cogilibrium position. What is the total energy of the system?

  A mass undergoes SHM with amplitude of 4 cm. The e yb l5 ,l8cxd9.xts* 7jfzmo6snergy is 8.0 J at this time. The mass is cut in half, and the system is again set in motion with amplitude 4.0 cm. What is the energy o,bfyxmtjldoc.65ssl 9 x z*8 7f the system now?

  A 0.50-kg mass is attached to a spring xc8)kpe 1(p jvof spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 cek1v(8)x jp pm/s at the equilibrium position. What is the amplitude of vibration?

  A 0.50-kg mass is attached to a spring of spring conm 0vua1oco8*k o69+fr(gd+i w nqd n5gstant 20 N/m along a horizontal, frictionless surface. The object oscillateio895v gqn+gac1owr(+dm0nfkd*6u o s 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 horizontaslxwoy)oh +58)r;bcgl spring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the totbg o8)5;roc l )syhwx+al mechanical energy of this system?

  A 2.0-kg mass is attacheddmuh 1)iij.9s:-rofd tae0)e to the end of a horizontal spring of spring constant 50 N/m and set into simple harmonic motion eh.:emod )-0t)r1 9udiajisf with an amplitude of 0.10 m. What is the total mechanical energy of this system?

  A mass vibrates back and forth from the free end of an ideal spring of spring c0xs s3 ;skr cp-zoybzlesq+1.2s)v k6onstant 20.0 N/m with an amplitude of 0.250o spsqlr;y1v-bzs2c. )6x+ k3ksz s0e m. What is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-sprjqzut uo vc*6. (-nai;ing 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 mas-oqt.a6i*v (;j nucuz s had been displaced only 5.0 cm and then released?

  A 4.0-kg object is attached to a spring of spring constant 10k6:bn2gt ;gsrqpz4m;t 9fg 3b N/m. The object is displaced bytggr6;sb93pb ; qn2kz mftg4 :
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 constanj w 3x1mp**a 06yd7 i,gzf23zhkr tpzit 10 N/m. The object is displac7,fih3m z jpwx*z6 ya0t1dip3*2z grked 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, displacedbzrb 8;0(;t ide o)jxzz4qm7 x slightly from its equilibrium position, andz diomj4bxe (zz q;;bx07t8r) released. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at 3o. wkiygm,p)d (n6b valw :)qa frequency of 1.27 Hz when displaced a distance of 2.0 cm from equil,.m von3pg)bw ()i aqd6kwy:librium and released. What is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to different springs. Mass A vibrates m 3w-8fpwga vo0xh:-xwith amplitude of 8.0 cm at a frequency of 10 Hz and mass B vibrates with amplitw ov--m8agwxf 3 x:0hpude 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 mv,ch ,6w -vxrhass 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 oscivcrhw ,x ,h6-vllation.

  A 0.30-kg mass is suspended on a spring. In equilibrium t :3xt)e fx.a e7x9bzxyhe mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and rb 3yaftzx)x9xe7 x:e.eleased from rest. Calculate the total energy of the system.

  A 0.30-kg mass is suspe ybmu(x+g2k( neeh0 v5nded on a spring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additio0vu yg me(xn2bh(+ke5nal distance of 1.0 cm down and released from rest. Write down its equation of motion.

  An object in simple harmonic motion obeys the following position versus time equn6kb;w omhw l)8cu-.z ati-wbwhzokn68)mcu l. ;on:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following posiazs9b)/z / .eokvugr:jo q3hn6x be()tion versus time equgho3)n z9o: r(6v q)e./sk/az jubxbeation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obey np..wms; hn6zxlff e8oub(qecbu ; :3 hdo9-,s the following position versus time equatiox : wm6 s3 bh o-(e;d8;luzboh. nnp,c9f.qefun:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free a/ eo4 nz9xjjlsi2k:5 end of a spring executes simple harmonic motion according to the equatioljke :/o94njxa5 zsi2n $y = 0.50 \; \sin (18\pi \times t)$ 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 20.2ofzyk*jzx1u 6 x sky3 4/rn-d0 N/m oscillates on a horizontal, frictionless tracy * j3kx6s4r/yxu 1 2o-knfdzzk. 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 freqk3wskq4p c5+ ys c0xk:uency and period kscsp50 cy:4qkw3x +kon Earth?

  A 3.00-kg pendulum is 28.84 m long. What (06 wfm .r14amei-yukz1 rw cris its period on Earth?

  A pendulum has a per nw93v o,9u z- dex/cjtomo ;ozm;**usiod of 2.0 s on Earth. What is its length?

  The pendulum of a grandfather clock is 1.0 m long. What is its p1zzy 7esbe0h) eriod on the Earzys 7z0 )bhee1th?

  The pendulum of a grandfather clock is 1.0 m long. What is it a3(fkehs)le69 mbj/ os period on the Moon where the acceleration al)3b mh9 /fsoe(e6k jdue to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical i x-l-kq 4ln3gmass attached to a massless string. When the mass is displaced slightly from its equilibrium position and released, the pendulumxlik-gl n- 34q 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 initiakj+sobqohz x)kc*h/ :d7 + )ael angular displacement of 8.0e. It osci)hsko+*czo)d: h7+bxjea k q/llates 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" ovpxu 6*puzw q,a3 0bn:f a wave at a given time. The frequency of the wave is 120 Hz. Whan pw*06vpx:uazb q,u3t is the amplitude?

  Figure 11-2 is a "snapshot"nhl*k) cr z-n-c0v (csy3st9 u of a wave at a given time. The frequency of the wave is 120 Hz. What is the wav-n3snu )yc0v r - l9ktcsh(c*zelength?

  Figure 11-2 is a "snapshot" of a wave at a given t le6ase9hz a83ime. The frequency of the wave is 120 Hz. Wh sel6a3 hze8a9at is the wave speed?

  What is the frequency of azci d ,h/eq)+zpqnv48 wave which has a period of 6.00 ms?

  What is the period of a wave with a frequency of 1efh+r/lz32d r 500 Hz?

  What is the wave speed if a wave hahxs.vlz9s lf4 7grsg p,,l ;b+s a frequency of 12 Hz and a wavelength of 3.0 m?lz 9h4l,pgl7 sgv+bxs r,;.fs

  What is the velocity of a wave that has a wavelengt4exsjn)(g.:j8/rv l)qi5 qk pg:yjho h of 3.0 m and a frequency of 12 Hzep) .sy4 g8lx)gk:hivj:r qjo(5 /nqj ?

  What is the frequency of a 2.5 m wave 2q bczvd 1:gn6traveling at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is uncg6ew q*. 2xl+arpug,der a tension of 1350 N. What is, apqrxew*.g+g6 u l2c the wave speed?

  A string of linear density 6.0 g/m is under a tens. *7)s *..nrf th ptf-rbtvexvion of 180 N. What is the velocity of propagation of *f- )p hvvtb.nrsfxe rt..t*7transverse waves along the string?

A wave whose wavelength is 0.500 m is traveling down a 503 x zul;job3*zlg26bpanbl kup; 069s0 m long wire whose total m;*zpl;u6 bzpsnkbxubj3lg 3 0a9l2 o 6ass 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 2.0mrran7 -umt70*f o*l wfv3e *f-m long string fixed at both ends ifl0m7au omfef -t3* r *w7n*rvs 200 m/s. Which one of the following is not a resonant frequency of this string?

  If a guitar string has a fundamental frequency of 500 Hz, which one of the folvcri *(;3kan;zu q tj4lowing frequencies can set the string into resonant vibrv 43kj; tq* nr;zicau(ation?

  A stretched string is obshp45ic1f9czprq.u xwdop /: ,erved to have four equal segments in a standing wave driven at a frequency of 480 Hz. What driving frequency will set up a standing wave with five equal segments?. frdui:/5who4p9,q czpc xp 1

  A string, fixed at both ends, vibrates at a frequency of 12 Hz with a s4 *ehun+qqw 0utanding trueq4*w 0+nuh qansverse wave pattern containing 3 loops. What frequency is needed if the standing wave pattern is to contain 4 loops?

  A string of linear density 1.5 g/m is under a tensione+i hb 6 ktgu1p1f.,gwgy3;va of 20 N. What should its length be if its fu1ga fgi1 +hwtpkuy ;63g, eb.vndamental resonance frequency is 220 Hz?

  Find the first three harmonics of a string of linear mud8e/3rhfbk ; ass density 2.00 g/m and length 0.600 m when it is subjected turfkb;h 38e /do tension of 50.0 N.

A string of length 2.5 m is fixez73;fj ake a41gx wo+e wwg /ejc96jzi25tp*u d at both ends. When the string vibrates at a frequency of 85 Hz, a standing wave with five l1ea wguce fwzk2 eai 59xj46p/*wo;g z+t3 jj7oops 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.