The time for one cycle o8 4ec fazc4iq3f a periodic process is called the

  For a periodic process, the number of cycles per unit time is called 8ndf ks5dkf,/ *u6kzuthe

  For vibrational motion, the maximum displacement from the equilibrium poinvvo+ ww th26.mt is called t ov.w2w m6+vthhe

  A mass on a spring undervor j krhs(x)kts4ip 15659w zgoes SHM. When the mass is at its maximum displacement from equilibrium, its instantaneousws(56 vk5ois4)kz rj 1tphr 9x velocity

  A mass on a spring underg m1b- h)q0ep9b gu8sgsoes SHM. When the mass passes through the equilibrium position, its instantaneous v e s)0- 19ugm8gqbpsbhelocity

  A mass on a spring undergoes SHM. When the massw;m-2zhxw62 +s bg zxo is at maximum displacement from equilibrium, its mz;2x6 s hwgx 2+wzob-instantaneous acceleration

  A mass is attached to a vertical spring and bobs up and down between points loutvr vue:p.z *-k,2 A and B. Where is the mass located whe: tvu*-p.olk z uerv2,n its kinetic energy is a minimum?

  A mass is attached to a vertical spring and b+;x1gsz(u wm+ib czn8obs up and down between points A and B. Where is the mass locatcbms+ ;wz 8znix+(1u ged when its kinetic energy is a maximum?

  A mass is attached to a verticazyeiu8. xszib:2 c7 r+l spring and bobs up and down between points A and B. Where is the mass located when its potential energy is .2i:rzzy7x8i bu se+ca minimum?

  A mass is attached to a vertical spring and bobs up and down betw i 5not0+ vch3r;iz8p 33tzfnrx h/:noeen points A and B. Where is the m5;n iozz/r+rc vh 0:ht to8p 3fnx33niass located when its potential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-spring system prx 7p*m rm;4whxoduces what effect on the system's mechanicxmwrmph; 74x *al energy?

  Doubling only the mass of a vibratinepic1l: f6k dhodc6y +3p 2-aog mass-and-spring system produces what effect on the system's mechanical p-13:io26 kpdahdoe lc 6 fcy+energy?

  Doubling only the spring constant of a vibrating mass-and-spri xi s7petz32s2jgb y*k26l( deib jtx70y x*b6ng system produces whbet22i3 x6 ely7bxg7d20 zkjp(*s*x6 tiybj sat effect on the system's mechanical energy?

  A mass oscillates on the end of a spring, both on Earth and on the Mo61wfr xrsu8.fon. Where is the period the greatess68 r.fx urwf1t?

  Increasing the spring constant k of a mass-and-spring system causes what zu;r;tv v9r7xxs 8j,mwazbca,5pd si3x9 8 v+ kind of change in the resonant frequency of the s; v5s bzruxazvxr 998pxi 3svdw8j+a;t7c ,,mystem? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring ulcz4 4 2 jcp0dx5s6mv/5.bpw )jhff fsystem causes what kind of change in the resonant frequency of the system? (Assume no change in the vf )c/jcuml42. fpwfhj0ds5 bp56 xz4system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system causes what kindbs.qt r ywn1+3 i:tqp7 of change in the resonant frequency of the system? (Asn 17+:bs tr .q3pqiywtsume 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 masl5rwh coohn0- )hbn 9/s M attached to a weightless string of length L. For this system, when undergoing small oscillationhwb-9n o hnr)h50olc/s

  When the mass of a simple pendulum is tripled, the t vkm 02*u)qoacz ;aresm*(a1zime required for one complete vibrationzm2uo;mq 0*kac*) (rea 1zvas

  Both pendulum A and B are 3.0 m long. T2cyh -;wk5-y rd0piah2 bng3 khe period of A is T. Pendulum A is twice as heavy5- k;d22 nc0 harbg3phywy -ik as pendulum B. What is the period of B?

  When the length of a simple pendulum is tripled, the time for one complete vibrxp r9h7/nln-d k3kq x8qa+v 4tation increases by a fact+4xkrqn8l xd7p q -/nat93k vhor of

  What happens to a simple pendulum's frequency if both its length and mass m*gzzn;vos+ fr6w( 0care increasedzv0sgcr n wo6f*m;(z+?

  Simple pendulum A swings back and forth a pgb z+0lvl;kz*:5gvk *fvw/mt twice the frequency of simple pendulum B. Which statement kz zf;gw+ *v* m v:gpl5/bv0lkis correct?

  If you take a given pendulum to th;3 +(ysamhjbv z:ij2x e Moon, where the acceleration of gravity is less than on Earth, the resonant frequency of m+z v3yijb2:a hxj;s(the pendulum will

  Curve A in Fig. 11-1 reprea(to *6yt 3+lsydp9xdsents

  Curve B in Fig. 11-1 represl7p, ke e(e 1jv9f ji6mu;rvh;ents

  Curve C in Fig. 11-1 represe/-uom b-uxx 7knts

  For a forced vibration, the amplitude of vibration is found to depend onzd1nv4e gi w1 hq+jnd5,1bq/n the

  In a wave, the maximum displaceme4x,e2-xxxqjf zz, nw s9 g.ca;nt of points of the wave from equilibrium is called t .;gf92sc qe,x-nzw4a,x xxzjhe wave's

  The distance between successive crests on a wave is/s*8tv r o74ex3 zdyhl called the wave's

  The number of crests of a wavv1dh md j93ie;e passing a point per unit time is called the wave'simh; d 31d9jev

  For a wave, the frequency times the wavelength is the wbsspk7 ys62sa45t /tm ave's

  The frequency of a wave ind mds;56w6qy..z ( qi xjo;mxccreases. What happens to the distance between successive crewqq y(6x5zx ;d..mjcdom6i s;sts if the speed remains constant?

  A wave moves on a string with wavelength l and frequency f. A second wave3de:1w h-x 7bcxd)oq)h qmb+r on the same string has wavelength 2l and travels with the same velocity. What is the fxq)-ox r:b wdh1be 7dmh q3+)crequency of the second wave?

  Consider a traveling wave on a string of length L, mass M, and tension 48u4u (6p(*th2zjiokrf dbs e T. A standing wave is dfs 6e(4k 2hbt8 uji*( u4zropset up. Which of the following is true?

  A string of mass m an/uma(y2t vp0 nd length 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 oapm(t / uy2n0vf the string is increased to 2m, with no change in length?

  A string of mass m and length L is underco*5 3(r0 pwh.p gw2g ics.p4 8xvffix 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 length is increased to 2Lp.23(gpxwr.f p 0 cig8h oix4wv*s cf5, with no change in mass?

  A string of mass m and length L is under tension T. The spee8(c-4 p 2w tfn4rolnux-+sffyd of a wave in the string is v. What will be the speed of a wave in the string if the tension is increal2 f-+ nuynsprw( 4of-ft 8x4csed to 2T?

  In seismology, the S wave is a transverse wave. As an S wave travels through tho b s6.4/vgojfe Earth, the relative motion between the S wao f.vos/jg6 b4ve and the particles is

  In seismology, the P wautk +5nv m90nave is a longitudinal wave. As a P wave travels through the Earth, the relative n9t0 nkm 5vua+motion between the P wave and the particles is

  The intensity of a wky39o5 yptd6 rvd+ ce,ave is

  A wave pulse traveling to the right along a thin cord reachesq/f8a) +rohv z3kroa ; a discontinuity where the rope becomes thicker and heavier. What is the orientation of the reflected and transmitted pu)v ;rqa8o f3az/or+khlses?

  Two wave pulses with equal positive amplitudes pass each other on a string, on39zu;5yxzud9-wy) bj *eiwmzlt d ;) ke is traveling toward the right and the other toward the left. At the point that they occupy the same region of space at t9dzd-x3 m e 9;kul 5zij*wy;wb)tuy)z he same time

  Two wave pulses pass each other onda6g c fqh (;)wvwuksuh mg28( **i s7opd7(hg a string. The one traveling toward the right has a positive amplitude, while the one traveling toward the left has an equal * g()d*guwia8o;uhp(h7cmsfd(q62 kh v7w gs 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 stri g4kfjkpl)ty ;((h9 oo5yc z)fng fixed at both ends, occurs when

  If one doubles the tens8x,j)v pp1oh qion in a violin string, the fundamental frequency of that stringppo xh1,v)jq 8 will increase by a factor of

  What is the spring constant of a spring that stretches 2us)siyw3 09,go hh (he.00 cm when a mass of 0.600 kg is suspended from it, wgo3(9u ehs0hy hsi)?

  A mass is attached to a spring of spring constant 60 N/y7 z n/d)tmxb qki6b83m 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 bmbnx)73 yqdti6z/k8to its equilibrium position when it is oscillating. What is the amplitude?

  A mass is attached to a spring of spring constant 60 N/m along a horizontal, fupxrdt1s - m3 3wq7nukb ,+c,brictionless surface. 3+b-1pdk tw sbqm ,unx,3c r7u 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 period of oscillation?

  A mass is attached to a spring of spring constant 60 m*o7;sopaffia5 w1zo +jd7,lN/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 frs+;jaa 7mpl*75fwozi1 , fod oequency of oscillation?

  A mass on a spring undergo) /gf)qh 7pn hzoqk.yjcxh b-6z3f4 a;es SHM. It goes through 10 complete oscillations in 5.0 s. What i-/zh4y7h6n ;g. a)pqcq3 fo kx )jfbhzs the period?

  A mass vibrates back and forth from the free end of an ideal sw6cs aqt1w.y z1 6p)omlti.9fpring 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 s 1zp.qt9c61o.fy6aiw) wlmt from its equilibrium position?

  A 0.50-kg mass is att8 yr6zm( ; 5gvinfwi2uached to a spring of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillu8v5(inif2 ygmw6rz; ates 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 withavuuoo1 5q( *2 ayj9gi amplitude of 4 cm. The energy is 8.0 J at this time. The mass is cut in half, and the sysqv9ya21ua( oig uoj 5*tem is again set in motion with amplitude 4.0 cm. What is the energy of the system now?

  A 0.50-kg mass is attach) sq ( f7;5jhhev2rstued to a spring 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 equ )ev(t5s 2q usfhhj;7rilibrium position. What is the amplitude of vibration?

  A 0.50-kg mass is attvi. a*su0sy/,l 6mjk l c8nm.eached to a spring 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 positiyum0cni6k, *esv .ll.majs 8 /on. At what location are the kinetic energy and the potential energy the same?

  A 2.0-kg mass is attached to the endd-tv+ v 9(2 o/gpdwscx 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 mechanica cow (xd9/vsdp 2g-t+vl energy of this system?

  A 2.0-kg mass is attached to the end ofloho2+i 0lnnkr +* hi( a horizontal spring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.1 k2o r(o+h*0nn ilih+l0 m. What is the total mechanical energy of this system?

  A mass vibrates back and forth f08 znr3oe ,pv/4 tqdf vjp4-ur+go9a xrom the free end of an ideal spring of spring constant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kinetr9v 4xn r48g,z3ov /pdeta oj +0f-pquic energy of this vibrating mass?

  The mass of a mass-and-springzbk+t 3*k ztmrekw b;4.v;8/ 4nvrwh l 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 thbw w;l.kemr 3*k z;+r84tvnthk/v4z be mass had been displaced only 5.0 cm and then released?

  A 4.0-kg object is attached to a spw:+m,* c6j flf(pvnbv df(a*oring of spring constant 10 N/m. The object is dispp(mdf ovjffl+*a w:cn,b6v*(laced 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+r 2av8 d e/czua1h +psqr)sa0 spring constant 10 N/m. The object i ar0rh+d8ec 2za+1a / vusq)pss 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 sprin ae+kmv4 15ylpg of spring constant 18 N/m, displaced slightly from its equilibrium position, p4yva+me k1l5and released. What is the frequency of its vibration?

  A mass is attached to a spring. It osnj,yq7 -kd+jn cillates at a frequency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What is the maximum veloci7qjjkn-y +dn ,ty attained by the mass?

  Two masses, A and B, are attached to different sprtzzw- rk0: vh8kdzo kkoj1 :7.ings. Mass A vibrates with amplitudk: ok.zo8v1d7 jrtwkh:z-0k ze 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 maximum speed of B?

  A 0.30-kg mass is suspended on a spring+ly 94fnlsw-wz/k x c0. 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 releazy+ nk0l xl/4 s-wfw9csed from rest. Calculate the period of oscillation.

  A 0.30-kg mass is susp.+(,l- r* 2 m3k-s gfrvmtcu9s rflpnkended on a 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 fror(fgc fl,u.tlm-v mrnkk-*23s+ s pr9m rest. Calculate the total energy of the system.

  A 0.30-kg mass is suspended on a spring. In equilio v21, 2ve1n7 ;.xqlj-be tjgg t/qmhu9cl :ywbrium 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. q.x/te-h:qbw1e7t2; j1lmc ,9ljugo ngv yv2 Write down its equation of motion.

  An object in simple harmonic motion obeys the following podue, eq pi od*mzt8(bp 999vb*sition versus time equtp*,opeq*89b 9ddbm ve 9 (uization:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the follow r1s 5lbtva. :dzkm,.king position versus time equationv tl .5amz1b:,drk.sk :
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following position versus time 9h4e w2v 9hgvzequatiov2vwe9zgh49h n:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple hargc v-jqb50t *4wbmz8tmonic motion according to the equatbmz80twbvg*q- 4 5tc jion $y = 0.50 \; \sin (18\pi \times t)$ 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 fx)lr p: x k3/fbo.dvd01bv nv6orce 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, the spring is stretched by/0 onkdpvrv) xb6f.3 xvl:bd1 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. uks/t.3o1du/gh31bf8rv s uk (a) What are its frequency and perior/dhv /s1 k8.g3ot 3k u1usufbd on Earth?

  A 3.00-kg pendulum is 28.84 m long. What is iyjeig.5 egj ;.ts period on Earth?

  A pendulum has a period of 2.0 s on Earth. What is its )0kojgx+docd q tn+2g r ;+ro1tz;6jh length?

  The pendulum of a grandfather clock is 1.0 m long. What is its peri)s5 w+clk zxv.u9h *rhod on the Earthh5swzvlrc)x uk+h9.* ?

  The pendulum of a grandfat4r:pz7 kapc f(her clock is 1.0 m long. What is its period on the Moon where the accelek (apz:pr4cf7 ration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists g, ( u izixy:--jglh.;jlau.s*2h z5k cqr/yv of a 0.25-kg spherical mass attached to a massless string. When the muiis l5yj-xgh. hk 2 u( q-z;l,avy:g z/.rjc*ass 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-g mass haw*4+owv ur4wrs initial angular displacement of 8.0e. It vwwu owr*+4r4oscillates 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 tih 4ppp .5bnf58;wtp2.y /rsnc3kq qjgme. The frequency of the wave is 120 Hz. What is the amplitu h43f.w8yq/2sbk.rn;jg5c p p ntq pp5de?

  Figure 11-2 is a "snapshot" of lik 1d+o6ozp, a wave at a given time. The frequency of the wave is 120 Hz. What is top6+iolz, 1 dkhe wavelength?

  Figure 11-2 is a "snapshot" of z0syz r4:zp+jf/ dp i1bbo5en/5grn 3a wave at a given time. The frequency of the wave is 120 zr53/jeyzd5+ z4p r:opsf n i0/nbbg1 Hz. What is the wave speed?

  What is the frequencyjx/x-v6s 4fty of a wave which has a period of 6.00 ms?

  What is the period of a wave with a frequency of 15006jps.) px j)gzj1kwh9 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz and a wavelengtv2 leko18ii2qh of 3.0 m?8eq22kii1 olv

  What is the velocity of a wave that has a wavelength j:+mhh4z+ts n q n+ht;k*hwh7of 3.0 m and a frequency of 12 Hzntt; jhzhh+m :h7+n q4ks *wh+?

  What is the frequency of a 2.5 m wave traveling at 1400 m/s?g yy1k3n4t*i i

  A piano string of linear mass density 0.0050 kg/m is under a tension of (ksuj(m :04 rf uukq;t1350 N. What is the wave sp s4( kj;:umfr 0uk(qtueed?

  A string of linear density 6.0 g/m is under a ten/mjh( i dh13 borwa8 wua59/imsion of 180 N. What is the velocity of propagation om/wh /w8 u59riimh a3oj( 1dabf transverse waves along the string?

A wave whose wavelength is 0.500 m is travelingy*(qon(g c93jb* k hvt down a 500 m long wire whose total m9 tnq (y*j*g(bv3hock ass 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 wa o(n(:mp+yirn ve on a 2.0-m long string fixed at both ends is 200 m/s. Which one of p(ri o ny:(+nmthe following is not a resonant frequency of this string?

  If a guitar string has a fundamental fre.rkh5up3 ) v+(i+y/b+nf fsl(gh xec equency of 500 Hz, which one of the following frequencies can sp/n3i+.+(rc (shfvyxhefe) k+5 l ubget the string into resonant vibration?

  A stretched string is geqki e*r; e,;observed to have four equal segments in a standing wave driven at a frequency of 480 Hz. Whateqi;*ekr, ;eg driving frequency will set up a standing wave with five equal segments?

  A string, fixed at both ends, vibrates atwcog4obo 1 fyt3j ;g33 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 contao3 y 34woj3cgogt ;1bfin 4 loops?

  A string of linear density 1.5 g/m is under a tension of 20 N. What should ier65f 6ha c 0;lvb+qtmts length be if its fundamental resonance frequency is f 6 5v;crm6htlb0ea+q 220 Hz?

  Find the first three harmonics of a string 3 z iqv2j86xhz*8xhej of linear mass density 2.00 g/m and length 0.600 m when it is j8qzxvh 8i3hx e26jz*subjected to tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. When the string1rmcfd2i 7rvp-1w:6 wdd-pt s vibrates at a frequency of 85 H6r--dsw p1fc twd:i2pr m1 v7dz, 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.