The time for one cycle of a periodic processu.loc d;3c:yszlu ol)n 3a; ;g is called the

  For a periodic process, vqvrq ;ncb/aifj.k2 kj** q.3the number of cycles per unit time is called the

  For vibrational motion, the maximum displacement from the equilibrium po+iegq2*8 3 vhic7 macxh(j x-jint is calm2v7-ie+xj xci(83 qj h chag*led the

  A mass on a spring undergoes SHM. When teku kg3a p:ke;r7fxgh;8 q;q4he mass is at its maximum displacement from equilibrium, its instantaneexakueq;gkf ;g3;4 :prh 7q8kous velocity

  A mass on a spring undergoes SHM. When the masse6ghipqh+ 4pib 6r5a. passes through the equilibrium position, its instantaneous velppqi. h4 6e5ibah6g+ rocity

  A mass on a spring undergoes SHM. When the mass is at mpzwexx:+f1rb8 r-:uwvn r;8 xc*:;/fx aqk jnaximum displacement from equilibrium, its instantaneous acceleratick:x:ea br1 n;z;88xr - n wux*wfj x:rq/fp+von

  A mass is attached to a vertical spring and bobs up and down betweed4fw7vg te bx-e .y/+tn points A and B. Wd- exgwbyf. + te/74vthere is the mass located when its kinetic energy is a minimum?

  A mass is attached to a vertical spring and bobs- ju4 *ug4fq,t2 e6ha8a(s bmiq v9oxm up and down between points A and B. Where is the mas b6au-4o, mm t9ga8q4vshj2uq(fe i*xs located when its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up and down between points Aeg/ *ck(3 48*lpzqal qyx2jte an( /kp ztyq*axlelc*34 ge q8j2d B. Where is the mass located when its potential energy is a minimum?

  A mass is attached to a ve 3. bzr4eppje+q i xg7mhm74m+e )ws;hn3iau:rtical spring and bobs up and down between points A andhpmmi3r.inze47)qmp4e s; j x7:w+3ge +u hba B. Where is the mass located when its potential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and7i+bb-q5l btcatyj 8xmgk(29l s(5s q-spring system produces what effect on thblj ax(i 8qc-bykl5 97(sq 5btg sm2+te system's mechanical energy?

  Doubling only the mass of a vibrating mass-pxmo / 61/r +;ivwp/qati ruo1and-spring system produces what effect on t ip q ax/r ou/1vrwo+6/tmip1;he system's mechanical energy?

  Doubling only the spring constant of a vibrating mass-and-spring system prod a(b7;lkr boj9uces what effect ;ao9kbjlb r( 7on the system's mechanical energy?

  A mass oscillates on the end of a spring, both on Ear, m6s) hnp;n4 j lk( gb(o)dvun66gbylth and on the Moon. Where is the period the greatest nhg, j)sg v6;blm6)nlb4pdu(k o6 y(n?

  Increasing the spring constant k of a mass-and-spring system cam9quc4yf o)btz mvk+ y:zoip 464l d2l8k+:g uuses what kind of change in the resonant frequency of the system?fdkum q8m+lk92 4)o:l6p44 + uvbtz ico:yygz (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system causeswb1c1h 4iwlr zs ;b9q5 what kind of change in the r4cb 5qirh 9;lws1wzb1esonant frequency of the system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude/c 5b/z7y( jjao lb;xwyb ;di..( sqaa of a mass-and-spring system causes what kind of change in the resonant frequency of the system? (Assume no other changejsc(aila(oj /qx7.bz5yd ;;.w/ y abbs 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 m ;)zgi9hnmcxs:t-a 1x xhs-3iafpv8;ass M attached to a weightless string of length L. For this system, when undergoing small 8s- snv h-):; cfx hipa1;amitx3 xz9goscillations

  When the mass of a simple pendulum is tripled, the time req7n2.dtno ff -ruired for one complete vi to dnn-r7.f2fbration

  Both pendulum A and B are 3.0 wb0e *g y(jin,m long. The period of A is T. Pendulum A is twice ,ny(bw*g0 ejias heavy as pendulum B. What is the period of B?

  When the length of a simple pendulum is tripled, the time yc7 f3xd.b zf3for one complete vibration increases by a fczxy7d. f3 3bfactor of

  What happens to a simple pendulum's frequency if both its length and massa:mx / v(qgy9zlkm f+g4 0-mgb are inc9yg:l/- v+ bmmfgkx(0m qzg4areased?

  Simple pendulum A swings back and forth at twice the frequency of simple penyh5t3lt xk.7r65 t lmtdulum B. Which statement is corrlx r37 5tlhky .tt56mtect?

  If you take a given pendulum to the Moon, where the acceb/k w ;z,ybk8bo)xij+ leration of gravity is less than b ,wki8)bj;k+x b/o zyon Earth, the resonant frequency of the pendulum will

  Curve A in Fig. 11-1 r( sbzo 3dpt8y0epresents

  Curve B in Fig. 11-1 re3yk h+ zswi1 s 4ea.hd6o5jz6ypresents

  Curve C in Fig. 11-1 *9bgttv7b4sb g i(fv(represents

  For a forced vibration, the amplitude of vibration is(f;ps+xev;c( grj5jcd)8a p j found to depend on the

  In a wave, the maximum displacement of points obd;g4a qzkg*7m a28khf the wave from equilibrium is called the waq k2khd ba;z4 g87agm*ve's

  The distance between successive crests on a wave is called the wavev:o(s6b28k3 fz -cvv fn2ehaa's

  The number of crests of a wave passing a point per unit time.wuf1.vxt1 jz/ *mga n is called the wave' v1x.g. zjam*wtn/fu1s

  For a wave, the frequency times the wavelength is the wavezee nz7; xpf-/'s

  The frequency of a wave increases. What happens to the distance between dsa *. dmtp/c55o+sntsuccessive crests if the d+ s tam.npt/ s55*ocdspeed remains constant?

  A wave moves on a string with wavelength l aovb1nop29i b ,nd frequency f. A second wave on the same string has wavelength 2l and travels with the same velocity. What is the b9o ,i1v2p nbofrequency of the second wave?

  Consider a traveling wave cd 71jsv 3jm+fon a string of length L, mass M, and tension T. A standing wave is set up. Whf7j j csmvd+31ich of the following is true?

  A string of mass m and leng na* jv vxhb)e+kt2+)jth L is under tension T. The speed of a wave in the string is v. What will be the spee*tav2nb)e) j+x k+jhv d 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 length L is ua 2;hxd g9y-sze/n i.f0:zauj lq6;hg nder 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 2L, with no change in zg20u ilh-nd .a9sez 6gf j;x;hay:q/mass?

  A string of mass m and length L is under tension cv7bpozi8r+, T. The speed of a wave in the string is v. What will be the speed of a wave in thz pv7or 8,icb+e string if the tension is increased to 2T?

  In seismology, the S wave is a transverse wave. sv.o+k/f 8za 9s8*o gjj)pu kaAs an S wave travels through the Earth, the relative motion betweenkap zs9u/) 8g j.jo+*kvo8 afs the S wave and the particles is

  In seismology, the P wave is a longi4s(x;vwyd .dttudinal wave. As a P wave travels through the Earth, the relativet.4w sd( dxvy; motion between the P wave and the particles is

  The intensity of a wave 7bi/ 9yk60f iwjp o2ko)nmhj:is

  A wave pulse traveling to the right q/pk *p+q:wjp -v:jcqalong a thin cord reaches a discontinuity where the rope becomes thicker and heavier. What is the orientation of thpwjc+qp/: j :p-kq*qve reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each other on a string, one /lrv,y8r4)gw.gq kx8e: remc is traveling toward the right and the other toward the left. At the point that they occupy the same region of spavc)g, r4.y8re /qg8 rlwkmx e:ce at the same time

  Two wave pulses pass each other on a string.wpk c1x4ec77 b.v i(9ukinqf; The one traveling toward the right has a positive amplitude, while the one traveling toward tip kk.f1x nv e(b;wccqiu 7794he 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 u43xxn7 dtc 3j*iqe3nc+um w4ends, occurs when

  If one doubles the tension in a violin string, the fundamengdy( 9lxil lk a(4)1 45j p.qpwpne-antal frequency of that string will increase by a fa)ppge49xw-(lydnl. k5al4njqp1 i (actor of

  What is the spring constant of a spring that stretches 2.00 cm when a masnsjawzo5xuc.lme) 3.09i-7 ;+m nnbjp mw 2 evs of 0.600 kg is suspend +ez3n ci9.lv;5w)0 7so2ux.bnnmjw a p j-mmeed from it?

  A mass is attached to a spring of spring constant 60 ka umi)/x isbz709(x(fl lo0i 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 tl(kiaobz / 7mlxi0u)f0x(is9 he 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 constant 60 N/m along a horizont;uaa :*ww8fy hal, frictionless surface. The sprin 8yfuw:ha*;awg 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 consul8t7 lhkkgbt(p+c89 e, c z(utant 60 N/m along a horizontal, frictionless surface. The spring is initially stretched by a force of 5.0 N on czpk(+kc9he, b8ttlug87u l ( 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 undergoea*j9vry )1o i- 8b nzy*m7lgeus SHM. It goes through 10 complete oscillations in 5.jlv o7gmi *ey1na)8zy ur-*b90 s. What is the period?

  A mass vibrates back and eu- h6* heb(e6.ncw x,udsdzx h*1(wyforth from the free end of an ideal spring of spring constant 20 N/m with an amplitude of 0.30 m. What is td .( bhs*duuhxe,-zn6h6x*e cwe1(yw he 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 Nu(n5k pcl9fan+ r :gbt4 6ewy,/m along a horizontal, frictionless surface. The object oscillate +cy retu6fpb5 4(l9n w,kgn:as 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 am t51/o6+nxpq wytyd m7plitude of 4 cm. The energy 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 enwttx7n +1 5/pyd6yqmoergy of the system now?

  A 0.50-kg mass is attached to a spring of spring constant 2f3m3td.83t o puu za5g0 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 position. What is the u5tm tg3u. zafo3p3d8 amplitude of vibration?

  A 0.50-kg mass is attached to a spring of sp i;w3js :ee fp8nu0el.ring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motionew8e:su l0pf3.;jine 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 horizontal spring w du3a01sn y+pozs7-l of spring constant 50 N/m and set into simple harmonic motion with an amplitudesnly 7updw- as +013zo 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 zd4 /b4at a3jahorizontal spring of spring constant 50 N/m and set into simple harmonica43 4aabdz /tj motion 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 a3yghz18um l s 5til.8mn ideal spring of spring constant 20.0 N/m with an amplitude of 0.250 m. What is the maxiu8lhzi 8.sty mgml351mum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring system is displaced 10 cm from its equilibrium x+:k.ego nl *xz8zj)oposition and released. A frequency of 4.0 Hz ixn ) oe glko8+:zz.*jxs 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 at(fhjp+ rj .t4etached to a spring of spring constant 10 N/m. The object ihe( +j4.p tfjrs displaced 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. Thh 5xwfy6pkwtx ;;(pc/r/ c k-te object is displac6hypkftcc/ /x 5wprt-k ;w;(xed 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 constan e(utg)o0orl hs2 p;r:t 18 N/m, displaced slightly fromr2;l(pthgosre)o:0 u its equilibrium position, and released. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequency of 1.2x((k)sivs(zb.xwu-zf 2v /hif w )n)u 7 Hz when displaced a distance of 2.0 cm from equilibrium and released. What is the maximum vel)fwiu f2/xizhv(z-)(w. bs x( svukn)ocity attained by the mass?

  Two masses, A and B, are attached to different springob9)sa s3/oea s. Mass A vibrates with amplitude of 8.0 cm at a frequency of 10 Hz and mass B vibrates with a9s o sa/b3)aoemplitude 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 equilufjpj cvs q44dw74bk2 c /a2r*ibrium the mass stretches the spring 2.0 cm downward. The mass is then pu/q 47 pbsc2ajvf4j2 4kuwcd*r lled 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 thsiop 3e) k kl*+qz:jf6s-(wcte mass stretches the spring 2.0 cm downward. The mass is then pulled an additional dista3)q(o ws:k*k f 6-jt+plecsiz nce 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 equilibriu+2/8jeh fsphg)8 zhbkc+7wdq6dqv 9x i nd f-2m the mass stretches the spring 2.0 sfh78c/j+ izv8he2+62qdnkdqxbp) -fh g 9dwcm downward. The mass is then pulled an additional 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 positr 5+lmqie gd rbcx0e8)+-))kp 3komacion versus time equation:me 5o+q0xr)b)-krci pg8)kcdme+l 3 a
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmond76tx mma6 fz xhs6.2gic motion obeys the following position versus time equation:mm6zx6 2d hxagt.f6 7s
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following position versus timerprrgev:) ca tta5+i2z.y 8 7j equ rzjr 2e ca)5ytpi87+agvrt: .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 -2d;d8gzbmcf, hegw.6:sdvmmqr 72h a spring executes simple harmonic motion according to the equatwr b. 7g;hddmmfhe2:d28vczq- gm6s,ion $y = 0.50 \; \sin (18\pi \times t)$ where y is in meters and t is seconds. What is the period of vibration?

A 1.5-kg mass attached to sd c i-m j.-;fc5be:nnmpring with a force constant of 20.0 N/m oscillates on a horizontal, frictionless track. At t= 0, the mass is-5n n;jic mbm-fc:de . 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 swin7pf. ek;tx1l.bhl o 9ugs in 8.0 s. (a) What are its frequency and period 1l7h b9t ko u.xe.l;fpon Earth?

  A 3.00-kg pendulum is 28.84 m longdhe, 07sv4eot . What is its period on Earth?

  A pendulum has a period of 2.0 s on Earth.w h)guy, z+la+ What is its length?

  The pendulum of a grandfather cloc1buwa k6 672qjea 6tl2chu0 vkk is 1.0 m long. What is its period on the Eaaltk0ueh c7 k6j1b26u v 2aqw6rth?

  The pendulum of a grandfather clock is 1.0 m long. What lzc*o9fe dd whshs;,*6z7 h.h is its period on the Moon where the acceleration due df*h6zsz7wh;,hcl eo . dhs*9to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attached to a massleq g 8uptbb,kuq,+;brvh lp,(/ss 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 fre+bu hp qbt,,k/ubrq( 8, vp;lgquency would have resulted if a 0.50-kg mass (same diameter sphere) had been attached to the string instead?

A simple pendulum co kb4ct;6bsg6 fnsisting of a 20-g mass has initial angular displacement of 8.0e. It skf gbb646t c;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 "snapshot" of a wave at a given ti.x(r q 7hp3.vh+gmo u kbx j4fuom1 9b5c/k;qzme. The frequency of the wave is 120 Hz. W ghqopqbkr 5xmm1h/j v 9ux.7.oz4u;fb3k+c (hat is the amplitude?

  Figure 11-2 is a "snapshot" of a wave3m)u w r-ju4q*vs4jddgj1-zq at a given time. The frequency of the wave is 120 Hz. What is the wavelengtd3j)judrq sjz u4g1* -q vwm-4h?

  Figure 11-2 is a "snaps+grn : np1f7yqhdhc ;5hot" of a wave at a given time. The frequency of the wave is 120 Hz. What is the wave speedpg nd1n;fc+hq 7hry5 :?

  What is the frequency of a wave which has a peridj+-s y6 -pwfvbwy26xod of 6.00 ms?

  What is the period of a wave with a frequency of 1500 Hulktg5qe q4u8q1nk 7 2z?

  What is the wave speed if a wave hasv0 bta31a:pny a frequency of 12 Hz and a wavelength of 3.0 m0ta: bvay3 np1?

  What is the velocity of a wave that ha fftw8 eoh0f04gf gy-z)xb*c*s a wavelength of 3.0 m and a frequency of 12 Hz?z0xeyf- gf)f4 gwt*b hc*0of8

  What is the frequency of a 2.5 m wave r:q2fr( )ayoxtraveling at 1400 m/s?

  A piano string of linear mass dyx(/o ub1 :yz7vxrk,lrt: u1density 0.0050 kg/m is under a tension of 1350 N. What is ybrk/yu1( dxu: r17,tz vxlo: the wave speed?

  A string of linear density 6.0 g/m is under a tension of 180 N. What is the vef5 uqngkx9sw+)cf;: ulocitq u;)+ngu9kfcxf 5:sw y of propagation of transverse waves along the string?

A wave whose wavelength is 0.500 m is traveling down s5ml +-j 5j kpei1xyq:a 500 m long wire whose tot5:e- k mi1sj ljxyq+5pal mass 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 stringh+k -7jba;.k:wv(ze3mg9mlzp v xut; fixed at both ends is 200 m/s. Which one of the following is not a resonant frequency of twlg+: hx 39evmz(ua tj ;7pk-z m.bk;vhis string?

  If a guitar string has a fundame f5:+u0.rsk9lu ya gkmntal frequency of 500 Hz, which one of the following frequencies can set the string into resonanty0l 9sr 5ga uk+f.m:uk vibration?

  A stretched string is observed to have four equal segments in a stcxwqe4 3m 8 tbmyl/7ptu -xggot 4+9g.anding wave driven at a frequency of 480 Hz. What d3 qm9t4 t7 4cy elou/ wgx8x-.+tgpmbgriving frequency will set up a standing wave with five equal segments?

  A string, fixed at both ends, vibrates qdi.wo+g ;t: jat a frequency of 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency is ni:o.gjw+;d tqeeded if 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 should54htwe jk: ncj0 lzst. l694to its length be if its fundamental reso46s0jlhk t9cto z4ejtnw.: l5nance frequency is 220 Hz?

  Find the first three harmonics of a string of linear mass density 2,x61wbmw bq+ ohi:8y r.00 g/m and length 0.600 m when it is subjecteq1wb om+:r w68hi,xbyd to tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. When4587ehvzkf/ash z rj, the string vibrates at a frequency of 85 Hz, a standing wave with five loops i rvs45az he,f8zjkh 7/s 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.