The time for one cycle of ap0u ,e)nvv /mxufa 07:6jvwmj periodic process is called the

  For a periodic process, the number of cycles per unit time is called thembjpemv-/ra 41;yc:n

  For vibrational motion, the maximum displacem.jy e,oi8fk l)ent from the equilibrium point is cl.yfe )8 ,kiojalled the

  A mass on a spring undergoes SHM. Whenekuc)prc7 0 ef)zi)i5xs,/a ;w w -ydn the mass is at its maximum displacement ,e;w)0r-d/s)x pkeiy cif)wa7 czu 5n from equilibrium, its instantaneous velocity

  A mass on a spring undergoes SHM. When a y+7u/pk kkwvt7/3al the mass passes through the equilibrium position, its inp7+/ /klkatv y3wu7kastantaneous velocity

  A mass on a spring und.s zdzo9-yk4 (svt n3sergoes SHM. When the mass is at maximum displacement from equ v43sz(ks- ztosn .y9dilibrium, its instantaneous acceleration

  A mass is attached to a vupapln80 meq+ox (xyuu3m 306ertical spring and bobs up and down between points A and B. Where is the mass located when its kinetic energy is a xpaup8moex0qyu63+0u(3 l nmminimum?

  A mass is attached to a vertical spring and bobs up andbjnas2 0bo*z+yiv+gbik w;8 2rrc7- z down between points A and B. Where is the mass located when its kinetic eneos v-nr0* bz b7+i+gky2rz2 i ac;b8wjrgy is a maximum?

  A mass is attached to a vertical spdkl ;bq7 a:rd 0mme/2yring and bobs up and down between points A and B. Where is the mass located when its potential energy is a mq7b/ymd02; a lrmked:inimum?

  A mass is attached to a verticagacmpx 7 48r++ uf0y3w kysqb)l spring and bobs up and down between points A and B. Where is the mass located whe0+ bgy sq73+w4fpy8a)rxmcu kn its potential energy is a maximum?

  Doubling only the amplitude of a vil(a.xs;jv9t s:dybu ;s0 iqi46 kb,g kbrating mass-and-spring system produces what effect on the system's mechanicast u:g9jq0isk,.b6 b(;dky x sa vi4l;l energy?

  Doubling only the mass of a vibrating mass-and-spring system producn;y q(.g;pw0gzu-x uwes what effect on tx( y;uw zw0.u p;g-nqghe system's mechanical energy?

  Doubling only the spring constatll8 xd ,ubz 9,eqm8s-ya+n0wnt of a vibrating mass-and-spring system produces what effect on the system's mechanical eneq+man 9dl-t s80e8,yw, blxu zrgy?

  A mass oscillates on the ez40 gfqa:7p v;njc.,n f9fv kznd of a spring, both on Earth and on the Moon. Where is the period z:pgcqn j az ;,ff.f7nv094 vkthe greatest?

  Increasing the spring constant k of a mass-and-spring system causes what kindkeieupau5w.w)c :2x * of change in the resonant frequency of the system? (Assume no change inwe* p:ew 2a5ucix u.k) the system's mass m.)

  Increasing the mass M of a mass-and-spri(9gw 1/wv3vgn bha* jeng system causes what kind of change in the resonant frequency of the system? (Assume no change in the system's spring conhw/e(9*3gvjaw1bv gn stant k.)

  Increasing the amplitude of a mass-and-spring system causes what kinmb(b)h.2yo+tpo u jp )*eytk. d of change in th.u)2 bj)(ket op.tmy pyb+ h*oe 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 massq b) x1v/qn7bhlnl 9f i1:3uvz M attached to a weightless string of length L. For this system, when undergoinhb 17zn9:qibf ulv1 v)/3lxn qg small oscillations

  When the mass of a simple pendr lhpzr(+e*w;ulum is tripled, the time required for one complete vibra+rl; (*prz hwetion

  Both pendulum A and B are 3.0 m long. The per 4v qn7;deu fpyhsdelu+qrgk94: 6;)qiod of A is T. Pendulum A is twice as heavy as k d gd q4;n4qlre+fpuyh7;: qs)6eu9vpendulum B. What is the period of B?

  When the length of a simple pendulum is tripled, the tim wa)mpf +oa07:aucwpy(ptu, 3e for one complete vibration incpayp):3to0 f+um pawc,( a7wureases by a factor of

  What happens to a simple pendulum's frequency if both its length a zxje(z y)-1mond mass are incrzoyx1m -z( e)jeased?

  Simple pendulum A swings babga 1lb xt6.fcm bn74if08 r-ack and forth at twice the frequency of simple pendulum Bmb1b786 ntc4a.rx liaf-b f0 g. Which statement is correct?

  If you take a given pendulum to the Moon, where tdt;gc82alx z :he acceleration of gravity is less than on Earth, th2:dzga x ;tl8ce resonant frequency of the pendulum will

  Curve A in Fig. 11-1 /1/ 3jc2oat ddbi2w 5q:g vblsrepresents

  Curve B in Fig. 11-1 repres p2jsp4y/v 3jfeut; i,ents

  Curve C in Fig. 11-1 repr4*4frs,am* lb , vygokf9 4lchesents

  For a forced vibration, the am * v/29oalwmpvplitude of vibration is found to depend on the

  In a wave, the maximum dispn hlicfr-7 v 26gud(m82 macqg 0np*(elacement of points of the wave from equilibrium is calg -(dn6c8viqchlf7pm02 g(amu*e2r nled the wave's

  The distance between successive crests on a t ;e-e 5ofaezi:kt 1rs/ih1v+wave is called the wave's

  The number of crests of a wave passing a point per unit time is called the wav5i./ cc0x vr 2zztvnv)e'vv) rz c5cvx/z.2 t0ins

  For a wave, the frequency times the waveo ;*4sbz- emmixj z6i7length is the wave's

  The frequency of a wave increases. What happens fjbb 1.hh -zevg(z30s to the distance between successive cresb.3f-hej b g 1(zh0svzts if the speed remains constant?

  A wave moves on a string with wavelength l and frequues)m o (.td5 fy1btxf.2a+;y;wcpwx ency f. A second wave on the same string has wavelength 2l and travels with the same velocity. What is the frequency of the styt)wmx.cy;x(fb5+ fw u1ao 2 ;de.specond wave?

  Consider a traveling wave on a string of lengp faaxt b8j16 0s3fey*th L, mass M, and tension T. A standing wave is s0ybjestpf x6af8 1 3*aet up. Which of the following is true?

  A string of mass m and length L is under;10 ;m e-tomahl qdvryfr0+a: 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 of the string is increased to 2m, with no change in lem0+yh0aa 1 ;em:forl v-;tdqrngth?

  A string of mass m and length L is 9(x, xin z (ke.btnhf8under tension T. The speed of a wave in the string is v. Whatf89 (kze.bx,x nin(h t 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 un32*d 80scm rr*k zv zh:rai6o6d zr-pnctu9+e der tension T. The speed of a wave in the strrt9za6ocd6s 8zh 3-mp+ v cdrzer0 *u2*:rkniing is v. What 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. As an S wav( za6hj6 g9msce travels through thz sac9m h(jg66e 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 through p spi:73 /uy+.trn:msdijl9u/gg g 8d the Earth, the relative motion between the P wave and the parti/u g sitj:p/m.srlg+n7d:ig3u py9d8 cles is

  The intensity of a wav1s0p/jo rcd-l:63vuzh 8vv sm:p wd:me is

  A wave pulse traveling to the right along a thin cord reaches a nh1v0 ;kw;w9cq: 4n)un afn.qg5 amhj discontinuity where the rope becomes thicker and heavier. What is )n5 mk0vc:a9g 1q;;qujhwanfn wn4 h.the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each j/0srx 7b hd)zother on a string, one is traveling toward the right and the other toward the left. At the point that they occupy the same7hszj/rxd 0)b region of space at the same time

  Two wave pulses pass 5l gk5zzrgk ud: 0,vtb+cy51reach other on a string. The one traveling toward the right has a positive amplitude, while the one traveling toward the left has an equal amplitude:1v5ybct+ g, zu zkrdg5 0r5lk 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 end hch5*3pti 6uys, occurs when

  If one doubles the tensio07i rlvfd 91lr c+ gq4ql(wse4n in a violin string, the fundamental frequency of that string wi1ve4wr lfr9cqq l 70(lgs4+ dill increase by a factor of

  What is the spring constant of a spring c dif0// *):asy jbfiew(3e rethat stretches 2.00 cm when a mass of 0.600 kg is suspended from :e / a0f(3ei)/wcey djr si*bfit?

  A mass is attached to a spring of spring constant 60 N/m along a horizon/+8dyq gwmfp: tal, frictionless surface. The spring is initially stretched by a force of 5.0 N on the mass and let go. It takes the mass wg+qd8 my :/fp0.50 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 cfmh8vx1(m o4zwz+ s jgcs5 d. hl/su-6x1bef1onstant 60 N/m along a horizontal, frim1cb (le6 8hsdozuv 15hx.s-fj s z1+g4/fwmxctionless 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 period of oscillation?

  A mass is attached to a spring of spring constant 60 N/m along a horizontal, :nsusmyy2-7 z 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 i z-ymsy2 7u:nss oscillating. What is the frequency of oscillation?

  A mass on a spring undergov(0xe* oy mhh kr3(*ekes SHM. It goes through 10 complete oscillations in 5.0 s. What is the perio m(he*vrxk(yk *03 ehod?

  A mass vibrates back and forth from the free end of an ideal spring of spfyyp38 0tzt 1b86 m3 goua1pdqring constant 20 N/m with an amplitude of 0.30 m. What is the kinetic en6tqy3u y d8fg 81ptp3a1m0oz bergy of this vibrating mass when it is 0.30 m from its equilibrium position?

  A 0.50-kg mass is attached to a jbqi(c 3k8 3oa dhka)3spring of spring constant 20 N/m along a horizontal, frictionless su(q 3h)jcokd8b 33kaia rface. The object oscillates 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. yep7v(mgd66o8 wh;b tThe energy is 8.0 J at this time. The mass is cut in half, and the system is again set in m8ye6g7pwdvo( bht;6motion with amplitude 4.0 cm. What is the energy of the system now?

  A 0.50-kg mass is attached srx+)s ej9 v-gto 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 position. What is the amplitude of v) - ssxegj9+rvibration?

  A 0.50-kg mass is attached to a spring d p3istq+/.km 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 mm3+s/k.ptq di /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 bsc-pk;/ z+xfl z/p5 hcyu9 8qhorizontal spring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. W +syx pupl/h8kq5/-zcf;cb z 9hat is the total mechanical energy of this system?

  A 2.0-kg mass is attached to the end of a horizontal sprin;q ae7zac1 ax5f4-b qhg of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the total mechafzqa1ba-;7xc 4 hq5e anical energy of this system?

  A mass vibrates back and forth from the free end of an ideal spring of spring szp4y vmzf*j1,sj8 z; orwf(/constant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kinetic energy of this vibrat mf,*/1j4v(zfyz pjz8;orsws ing mass?

  The mass of a mass-and-spring system is v+ nxv nyi.(e y)*cmqq1q*x xp5-c1zadisplaced 10 cm from its equilibrium position and released. A frequency of 4.0 Hz is observed. What frequency would be observed if the mass had *1 my.qn1-aivpvncqce xz( )q5+x *xy been displaced only 5.0 cm and then released?

  A 4.0-kg object is attached to a spring of s f))sx(792 hjs mxkg3 ruynz8tpring constant 10 N/m. The object is k)mt 8xusr7 ) f29gz xnsjh3y(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. The object islm: 7oy4hy/2vq 4a)*b 7zb.2 hjl.glvj bpirs dj .b* ymhozapbl72 sgv4:)ir j.lhb /4yv7q2lisplaced 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 ofmri x/gt,56b5 kjrr/z spring constant 18 N/m, displaced slightly from its equilibrium position, and released. What is the frbk/ tmrrirg,5j 6z 5x/equency of its vibration?

  A mass is attached to a spring. It oscillates at a frequency of 1.27 Hz w9sas5.u avg+ *s +ihovhen displaced a distance of 2.0 cm from equilibrium andsusvh+o*v sai5a+ g 9. released. What is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to different sprinl k2;gyh/ym i5gs. Mass A vibrates with amplitude of 8.0 cm at a frequency of 10 Hzmi l h2g/yk;5y 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 0/x (nfxu 1mbi2eo.vnspring. 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. Calculate the period of oscill /x nvf12bx0e .u(noimation.

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass stretches the 0j w)zopf6wu, 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 of the syste)w,f6jo u0z wpm.

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass stretches the subzt92)mjl6 lo2o* vnz+ bi)xpring 2.0 cm downward. The mass is then pulled an additional+bloi)zx92*t2ol6 m uzvbj) n 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 k,8ktpz-v .;,a-caokucige7time equationkgc,ap t- -8vz, ;.k7okaiuec:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following position v ,k)q1z,+e / ljakdsfuv6xf(lersus time equvd,,6 l( /qklffajz )e ukx1s+ation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonii ;m19 d*rufmqc motion obeys the following position versus time equa*19r;qdm m ufition:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple harmonic mo4xg.a 5k3 vjr ve;zh6cko+l4 drz25c xtion according to the equ4jo5c5gxzckar +k4.6vh xv; 2z d3re lation $y = 0.50 \; \sin (18\pi \times t)$ 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 20.0 N/m oscillates obnjox* ik0(klcxaad -71y.y 1n a horizontal, frictio1l1yo kdb nacjy*xk ix-a07(.nless track. 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 frequencynluj-lqgmf:qw0*a7) and periwn)-:mlugaq *j l7q0f od on Earth?

  A 3.00-kg pendulum is 28.84 m long. ;t/04y*bi(2gye pmj n-ec dhw What is its period on Earth?

  A pendulum has a per 3s(r0aojjs ;9 cp,djtiod of 2.0 s on Earth. What is its length?

  The pendulum of a grandfather clock is 1.0 m long. What is qe:zb f9a ovs8k51 + fy,(-0vzetlipv its period on the Eart v taeizfzo+01:kls 8b9q 5(f,v-pvye h?

  The pendulum of a grandfather clock is 1.0 m long. 2jyp6)o p +a,zbblqhy9d, i91ke8lxnt k m7q; What is its period on the Moon where the acceleration due to gravm2qjb)k9+61yp ,e,7bz 8oldyak il;xt hn pq9ity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attemn4q 35didd m -p-c(thj;83zngan a3ached 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.n-z3ih(4 n3 tg8a 3pnc jqdem5dm;a- d0 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 int(j)d xv z(2teb2z,cr1m -nyditial angular displacement of 8.0e. It oscillates with a period ot )m ,cdx n-d22je1 tvzrz(y(bf 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" o5pc:gxkjkx ta 6i5r/ 5f a wave at a given time. The frequency of the wave is 1206j/r:555tx kacxg ikp Hz. What is the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given time. The vdy3 )kzs1y u,r1d7v yfrequency of the wave is 120 Hz. What is the wavelength?),vd11 yrz73yukv s dy

  Figure 11-2 is a "snapshot" of a wave at a given time. Tho 1x+hqui*trdrn07id p u),8zip8( xue frequency of the wave is 120 Hz. What is the wavq0znxiip* 71hd8ou+x)ir(,r tu p8ude speed?

  What is the frequency ofnr/ kegfeut-s z;l3 9qu c1/g4 a wave which has a period of 6.00 ms?

  What is the period of a wave wit:1zorfrcn b**/s 7rp zh a frequency of 1500 Hz?

  What is the wave speed if f:h7jybs9yjb/w 2-1t vaea1za wave has a frequency of 12 Hz and a wavelength of 3.0 a /s y ztw:eabybhj1f2v71 j-9m?

  What is the velocity of a wave that has a wavelength of 3.0 m and a fre y7b2 w-:yyy*aryvm jn5/5iyhquency of 1y*myrny y 27wjy :55- bhiva/y2 Hz?

  What is the frequency of a 2.5 m wave travelingp75o rfiw0h4 gt *vv)t at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is under a tension of 1350 injvmovz qj7: k) 7cz+(kn zr0..sb+ aN. What is the wave spev+ z+(vnib7k .m rj0j) ac7skzqn.o:zed?

  A string of linear density 6.0 g/m vm28-v xwgn)r kf-h6 wis under a tension of 180 N. What is the velocity of propagation of transverse waves alonk- ) xfw2gw- 6nhrvv8mg the string?

A wave whose wavelength is 0.500 m is traveling fdirxdy-; l sq8 1-en1down a 500 m long wire whose total 1y8d-fil-n rde sxq; 1mass 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 i,mo-x*(ak0rpja8fw (zb2jb/ (es yb2.0-m long string fixed at both ends is 200 m/ x wfba-koe(2*bs,(yj rj8 (mbz/iap0s. Which one of the following is not a resonant frequency of this string?

  If a guitar string has a fundamental frequency of 500n:s nw w7wr87z Hz, which one of the following frequencies can set the string into resonanz nww7 8ws7:nrt vibration?

  A stretched string is observed to z0 shu v64voql+q1 l.fhave 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 f.h+vo q1l4zqlu v06ssegments?

  A string, fixed at both ends, vibrates at a frequency of 12 H nz5td 4i xtm mojw( d6+ccdmd,2i-0.yz with a standing transverse wave pattern containing 3 loops. What frequency is needed if the standing wave pattern is to contain mx-tt,4 jo60w2 m ddny(cdd.i5cm+z i4 loops?

  A string of linear density 1.5 g/m is uz dl2yq 6j.:wznder a tension of 20 N. What should its length be if its fundamental res .w6dyj2:lz qzonance frequency is 220 Hz?

  Find the first three harmonics of a string otkwk5ap+11*p nyac u/f linear mass density 2.00 g/m and length 0.600 m when it is subjy+kptcu kp1a */15 wanected to tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. Whr( s;1+whv02ym kak) m)yv2dtgh3o z h13bsk len the string vibrates at a frequency of 85 Hz, a standing wave with five loops is for1d 2v1kl3bh0+(hykgzvy3 )w m 2sk)motra; hs med.
(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.