The time for one cycle of a periodic process is called tvf 54ad. 2e0oed3m)r7fwpb cq he

  For a periodic process, the number52wkb0cn)dxs m qgt,9 of cycles per unit time is called the

  For vibrational motio,gh(clz+oob:f o)+ wjn, the maximum displacement from the equilibrium point is called thez,go:lhb(oo+f jw)c+

  A mass on a spring undergoes SHM6s )x5dw/yh x5lc f6ic:gb:,g9nkxl t. When the mass is at its maximum displacement from equilibrium, its instantaneoukh6gyx:x dst l/n):,bci5wg6l5 cf9x s velocity

  A mass on a spring undergostnm;a )yk3s( es SHM. When the mass passes through the equilibrium position, its in s(kmynt3sa );stantaneous velocity

  A mass on a spring undergoes SHM. When the mass is at maximum displ hn)a rpz5f/1oacement from equilibrium, its instfproz)n/a5 1h antaneous acceleration

  A mass is attached to a vertical spring and bobs up and d i5ljnd/vxok.s n6- .uown between points A and B. Wk6vsj/ 5ixldn.o n-u.here is the mass located when its kinetic energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down bue/ *xto6 vss:etween points A and B. Where is the mau :s/o *sxev6tss located when its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up and don o5;l+bzk.gu bk*(ax i.) wmswn between points A and B. Wa gi5nb z*w+ul..(xskm o;bk)here is the mass located when its potential energy is a minimum?

  A mass is attached to a vertical spring and bobs upc s +qkfdh3v.4n (d: 8yhwnio1 and down between points A and B. Where i f (8d31:dy. oqk chis4nhvwn+s the mass located when its potential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-spring system p o ly a9tf.gf2nj4-8beroduces what effect on the system's mec4 .-jff 298et lgaybnohanical energy?

  Doubling only the mass of a vibrating mass-ane l/sywaq5.1z d-spring system produces what effect on ael.sz/ y1qw5the system's mechanical energy?

  Doubling only the spring constant of a vibrating mass-and-spring system produced b 5qy5/8ckkqs what effect on the systemkkb5 ycqq/85d's mechanical energy?

  A mass oscillates on the end of a spring, both on Earth and on the Mom4h3wz/*5huyh(v q. z szfw*lon. Where is thezh zf3 sum 5h(**wyhl4/q.zvw period the greatest?

  Increasing the spring constant k( )ama-hnjo r xnk62suwybk. d+ w-:d. of a mass-and-spring system causes what kind of change in the resonant frequency of the system? (Assume no change in the saj +n( a-mkd2bd6xs).n k.-uhr:ow ywystem's mass m.)

  Increasing the mass M of a mass-and-spring system cauw*ql8giz7*w q i8cp 5hy1jrnbld1+ i4ses what kind of change in the resonant frequency of the systew+*8w7g 4qjph qdic i b1*y5rl1 lnz8im? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-sprial3 nyd1- ex0olzx))l ng system causes what kind of change in the resonant frequency of the system? (Ass l1xde3ny 0a)-zxl)lo ume 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 stbcda+wx;( *s 1zj hl1sig m/2bring of length L. For this system, whenibaj/cg;d+l1z h1 2w b(s*mxs undergoing small oscillations

  When the mass of a simple pendulum is tripled, the timg,ipub 2 nlg,x)9- uqhe required for one complete vibra,2-hlnqu)b g i xp9,ugtion

  Both pendulum A and B are 3.0 m long. r nal3151nwenThe period of A is T. Pendulum A is twice as heavy as pendulum B. Whnr lnwen1 513aat is the period of B?

  When the length of a simple pendulum is tripled, the time frn;,gby k60k0 uoj8,k ;qrmxvor one complete vibratix; ;vrk,,8koyqumng6 kj b00r on increases by a factor of

  What happens to a simple pendulum's f483s2f pgpukp requency if both its length and mass are increased? sk84pgup2 3pf

  Simple pendulum A swings back and forth at twice the freque8 b)y9:ovvnb:jo mauy9;fs1hncy of simple pendulum B. Which statement is va;9yy uv:bns o:1mjo9bh8f ) correct?

  If you take a given pendulum to the Moon, where the acceleration of gravii7vvr r/48wnq wid(w 2m2jh0mty is less than on Earth, the resonant frequency of thevdqm 2rv /r wij42wi8w7(0hmn pendulum will

  Curve A in Fig. 11-1 representsn)xs+o+xyw yn0/u p 0tdnk r7o1c;th1

  Curve B in Fig. 11-1 r nz1j q5 ssyi1/1z6jxcepresents

  Curve C in Fig. 11-1 represe e;+ vodrlht:(nts

  For a forced vibration, the amplitufu,nj lwseko,3 dc v8*zce+,0g y .s3+moal6ede of vibration is found to depend on the

  In a wave, the maximum displacement of points of the wave from er/+ :9g4x rtkssll-u mquilibrium is called t9 glrx/4m: s+kurlst- he wave's

  The distance between successivef ,,wkn6i;xx74ghk cq crests on a wave is called the wave's

  The number of crests of a wave passing a poijuhlw /rygo5zv 6)+z7 nt per unit time is called the wave'7lzyvhw6 r5jg ou z+/)s

  For a wave, the frequency times the wavelength is the watg)p8o +ouxp e7 sm3q5ve's

  The frequency of a wave increases. What happens to the dis :/-h.ti0+mqcoz 2 aznb.lrrmtance between successive crests if t/obn. zq 2l0ih+m.trr ac -:zmhe speed remains constant?

  A wave moves on a string with wavelength hq 3owzo +oel:+5hz i)l and frequency f. A second wave on the same string haswi ) e5oq+ozh+o:3lhz wavelength 2l and travels with the same velocity. What is the frequency of the second wave?

  Consider a traveling wavei+*bjvq)pg9mt +n g:x i.7igs on a string of length L, mass M, and tension T. A standing wave is set up.m+:79xiv n )tig+gpbq jgi *.s Which of the following is true?

  A string of mass m and length L is under tension Tg+xns6n o8 l6u. The speed of a wave in the string is v. What will be the speed of a wave in the string if the massslux6ogn+68 n of the string is increased to 2m, with no change in length?

  A string of mass m and length L is c6- ugixf6c; 1w y.wozunder tension T. The speed of a wave in the string is v. 6zi cwcou;g.yfwx 61- 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 tensio dhvc pvtfac3ye8/t3 /lolo4+a:l7w9 n T. The speed of a wave in the string is v. What will be the speed of a wave in the string if the tension is inoda lwla9hc t3v8cl :/eo7v f+ty34/pcreased to 2T?

  In seismology, the S wave is a transverse wave. As an S wave tmch,t-a*nl. h, ylh.r ravels through the tmhly la*-. ,c,h rhn.Earth, the relative motion between the S wave and the particles is

  In seismology, the P wave is a longitudinal wave. As a P wave travels th d(zl9pqquifypre ;/23yo d:g2f lw69rough theuqr:w fy92od3qi9 /ey f6(2pl zg lp;d Earth, the relative motion between the P wave and the particles is

  The intensity of a wa3l+azm zjfn,x ( b)-vnve is

  A wave pulse travelinca7 rd63d 8azeg to the right along a thin cord reaches a discontinuity where the rope becomes thca dz7a8r63edicker and heavier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass e*oj77 ou qa*:f7ibmm12qx ffxn ad y51ach other on a string, one is traveling toward the right and the oth q n71 7dmj*x1uqab ffxa* 2m5foi7y:oer 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 traveling towb6ut -aid5z8*kec3u lard 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 occupy the-6aluebi zu d58*ctk 3 same region of space at the same time

  Resonance in a system, such as a string fixedmxn(kwc4z4 j ( at both ends, occurs when

  If one doubles the tension in a violin string, the ful/gifk zv.xl *;;k41hvd +ttgndamental frequency of that string will increase by a fac*igkf; t ldzx.+v;4v hk1lgt/tor of

  What is the spring constant of a spring that stretches 2.00 cm e8rwit+*j7s 1 mdn0 )ts1wkaowhen a mass of 0.600 kg is oas *i 7j + mk)11edwstrwnt08suspended from it?

  A mass is attached to a spring of spring +iy;yr2scn 1dutcwv0q 8 j (c;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 d0+ w8n (sy yrvq;1ijtc;cu2cit is oscillating. What is the amplitude?

  A mass is attached to a sprinh(ghq3af :2olnk y25 rg 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(gy3nkhh 2q:o2arl f5 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 60mjrrb kq5k)m 9m j3n)+ 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 the frequency oj+5rrm b9) njkk3 mmq)f oscillation?

  A mass on a spring undergoes SHM. It goes through 10 complete oscillatiojszdcj tl*9l w.7vn*+ jf,a/gns in 5.0 s. What is the periodzj * s,f .a wg*t7+jnjvl9cd/l?

  A mass vibrates back and forth from the free end of an ideal spring of spring*eci.g4p +wd h ml;v5w constant 20 N/m with an amplitude of 0.30 m. What is the kinetic energy of this vibrating mass when it i;h lcww4p v+.5dem *igs 0.30 m from its equilibrium position?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m along ))xbtfpeu-0 3 ek p1z*h0c tlrgk)t6va horizontal, frictionless surface. The object oscillates vk 3-ucg))hpefelp6z0* t )kr0 xt1tbin 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 ge8q;+pfg25ze wxb4 a with amplitude of 4 cm. The energy is 8.0 J at this time. The mass52e gqz bpw+xf4; gae8 is cut in half, 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/m6phw0 xcs6uh, along a horizontal, frictionless surface. The object oscillates in simple harmonic motion p u c6,hshwx60and 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 6i z tg4vndly k7t6.4pspring of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and ha4i.476dvp z knytt6lgs 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 horizontal springp 4ukqt)v5yh/ of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. /qp4 yvk5 h)tu What is the total mechanical energy of this system?

  A 2.0-kg mass is attached to the end of a hoy d5,7s 1f/eo/hnm3otlaa1uorizontal spring of spring constant 50 N/m and set into simple harmonic motion with an amplim7h/ty 5 s3n feda1oo,1a/u oltude of 0.10 m. What is the total mechanical energy of this system?

  A mass vibrates back and forth from the free end of ak84o x0x-h w:h4.o9mms o iwmxn ideal spring of spring constant 20.0 N/m with an amplitude of 0.250 m. Wxmwoo hm o8: sk9.hix-w0 4xm4hat is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring sy nbg. w, zs 92t3vnsj+1d:h x5xbv2sgxstem is displaced 10 cm from its equilibrium position and released. Agjb +v 9h sn: 3,1tsn5sdgxxvx.z2w 2b frequency of 4.0 Hz is observed. What frequency would be observed if the mass had been displaced only 5.0 cm and then released?

  A 4.0-kg object is a+ aduee,3sn l ll) )c0co+2 hb*us*-s slsma2httached to a spring of spring constant 10 N/m. The object is displaced ),bs0 d2*lls h s-u)2*sene+um3hacoallc +sby
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. Tldyu e5)n l.q4he object is displae nyll45q du).ced 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 me 0rqy3ikz) f7 :aos1spring of spring constant 18 N/m, displaced slightly from its equilibrium pos1s 0zamf3 ie7 o:ykr)qition, and released. What is the frequency of its vibration?

  A mass is attached t(tk9gh4q(w urd+s9 umo a spring. It oscillates at a frequency of 1.27 Hz when displaced a distance of 2.0 cm frou g dht9s(uw(k+mr 9q4m equilibrium and released. What is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to different 1i(s 2lw1jsemsprings. Mass A vibrates with amplitude 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 max1j(2lswseim1 imum speed of B?

  A 0.30-kg mass is suspended on a spm1wlfo;4i la(h( r-fk ring. 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 flfh4 (;r- i lm(1wfoakrom rest. Calculate the period of oscillation.

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass j +u.)xxg2ilbsw.rd/xn.1nb 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 total energy olxb1w.)+bni jnd/ 2rsuxx g ..f the system.

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass stretches t 7tyl-hpm+d1wp5ly4aqnx63 q woi9 s0he 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 equation ofl+1w qy59 plndxa moy w6-7tsi304hqp motion.

  An object in simple harmonic motion obeys the following position ve (v4ts;cd3;wfdn7p dh rsus time equatio 4;h3(vdtf dc7w dpns;n:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following positi flcqtbq( u1n35: iulc- 6xnp3xi)r9j on versus time equati( l91l xcnuqb 6 r ci3i5fn:3j)uxtpq-on:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following positio; .0 d0mh/ .mm-pud7tmphfjn kn versus time equatiout-m00km/ nd ;df.hh.p j7mpmn:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple78 /u.ajvwbf b:bsm 7o harmonic motion according to the eqwafb7 78v b j/mb:ous.uation $y = 0.50 \; \sin (18\pi \times t)$ 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; g9 juuzf,4ct force constant of 20.0 N/m oscillates on a horizontal, frictionless track. At t= 0, the mass is released from rest at x=f4ujuc9 ,zgt; 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 ina9v mofb*)i.3 x6,cbglkvj-x 8.0 s. (a) What are its frequency and period gc.bf vbx,xvi a 9-ojmkl*6 3)on Earth?

  A 3.00-kg pendulum is 28.84 m long. What is its per, cibtfns t(*6iod on Earth?

  A pendulum has a period o0nstb0v ,* d :pzki, ylc4s9zjf 2.0 s on Earth. What is its length?

  The pendulum of a grandfather o )vuq )1bt6oeclock is 1.0 m long. What is its period on the Earth1o)) 6 tvqbuoe?

  The pendulum of a grandfather clock is 1.0 m long. What is its period on t 5vagjc6l+sf -he Moon where the accelerat +-agfjsv56cl ion due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg sphericgqyxu/)yef *li- o42 cal mass attached to a massless string. When the mass is displac*i2) 4xge ql oyuy/fc-ed 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 has initial angular displace o,gmv3bbk84bjfg5zj f( *;qdment of 8.0e. It oscillates with a period of 3.00 s8jmg z jbb;qk53fvd*(4f gb o,.
(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 )r)zhn62ge tjtime. The frequency of the wave 62h zg)tren )jis 120 Hz. What is the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given -bg; nlgmq. k(time. The frequency of the wave is 120 Hz. ; .n-lq(bgkg mWhat is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequenjx1oba gchr.9 8c;gj)u tg ic9ob:a 96cy of the wave is 120 9ch:xjcg6obt98. ac bojg ;urg19a )iHz. What is the wave speed?

  What is the frequency of a wave which has a period of 6.00 3meduqw.dosf j7h 0ey; vk ey).z.:/ tms?

  What is the period of a wave with a frequency of 1500 Hzptov4w0) f. eg?

  What is the wave speedvt96wepuuuk6 .cif7x4xi + 5y if a wave has a frequency of 12 Hz and a wavelength of 3.0 m?ci46 ueu9fk x .pvi t5wx7+y6u

  What is the velocity of a wave that has a wavelength oxf)i3yz r.51iiqgt00by 4k xd f 3.0 m and a frequency of 1ryz g3fxy0qib0i k)i4x. d51 t2 Hz?

  What is the frequency of a 2.5 m wave travel9hx:2rw39fv7o8g8q lfzrv j h vs8l/m ing at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m c; y g 6dkfv1dm0tz-;yis under a tension of 1350 N. Whak-g6 z1fycdmy d; t0;vt is the wave speed?

  A string of linear density 6.0 g/m is under a tension of 180 N3xfq 2ew 7ctvsnb(.h4 . What is the velocity of propagation of transverse waves aloq bwhxef.n7c stv2( 43ng the string?

A wave whose wavelength is 0.500 m is traveling down a 500 m long wire whose totyg7k6 bec 0tty n i/n-s(*pakunww2/ 5al mass w /-abstk(5wg7/2yyu60 *n ekt nnp ciis
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 o 3/pxacfxlgice+-a99 )pu lo0f a transverse wave on a 2.0-m long string fixed at both ends is 200 m/s. Which one of the following is not a resonant frequu+cge/ ap 3cf px9ix-al9o0l)ency of this string?

  If a guitar string has;lh(v/w i0t ssf 5t,qa a fundamental frequency of 500 Hz, which one of the following frequencies can set the string into5tsh/;, lat0 ( sqivwf resonant vibration?

  A stretched string is observed to have four equal segments in a standing m(1oevi4h +vvwave driven at a frequency of 480 Hz. What driving frequency will set up a standing wave with five equal segment v+vev h4o(i1ms?

  A string, fixed at both endydk8(r vhf 8f 2dno8n80ao6kp.g2 jdv s, 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 802 ddnvo8(f8.2khfako68j pd gnvy r to contain 4 loops?

  A string of linear density 1.5 g/m is :u +uf 009c s+qcn,wp*viias cunder a tension of 20 N. What should its length be if its fundamental resonance frequency is 220 H9ui*cs+00 : s,uic w+fv pcqnaz?

  Find the first three harmo,,yx;9btrq mn). kha 1zw,yownics of a string of linear mass density 2.00 g/m and length 0.600 m when it is subjected to tension ofobkxh1m q9 yyz,rww.), a,n;t 50.0 N.

A string of length 2.5fx j2ka e3jyw67zj 1rtg4qu2bc8e 3g7 m is fixed at both ends. When the string vibrates at a frequency of 85 Hz, a standing wave with five loyt 2 8x4jkrau jeq6gfcg372j7e z1 b3wops 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.