The time for one cycle of a periodic procest4 faeuaq)5yv7 zgi l.r g dz(vy5)652z9batxs is called the

  For a periodic process, the number of cycles per unitctukc)0,gc 3g time is called the

  For vibrational motion, the maximum displacement from theph+ *iz ym+x(aef *)mr equilibrium point is called thp*erym) a++i( fh* xzme

  A mass on a spring undergoes SHM. jse *z,hh*(/okjhl 6zWhen the mass is at its maximum displacement from equilibrium, ez /k lshoj(6jz* h*,hits instantaneous velocity

  A mass on a spring undergoesxhvi0 xj 83at) SHM. When the mass passes through the equilibrium pos xiavj 03x)t8hition, its instantaneous velocity

  A mass on a spring uy 9nhm.m8uo /e)it+m 7nbb5mp hr3cn0ndergoes SHM. When the mass is at maximum displacement from equilibrium, its instantaneous accelerationmhb t08)ni3 p+/o h yrn7enbm mm.5uc9

  A mass is attached to a vertical spri,zgkrh5/ ks6gng and bobs up and down between points A and B. Where ishg 6g5 zkr,/sk the mass located when its kinetic energy is a minimum?

  A mass is attached to a v4 u f4w(p5lc km5jeo-bertical spring and bobs up and down between points A and B. Where is the mass located when its kinetic energy is a maxw-k4le5 o 4upcb5j (mfimum?

  A mass is attached to a vertical spring and bez*: 7pnz j6qaobs up and down between points A and n* 6:zqpe 7ajzB. Where is the mass located when its potential energy is a minimum?

  A mass is attached to a vertical spring and bobky0 w943dr lqnziapx4 25g.oo s up and down between points A and B. Where is the mass located when its potential energy is a maq9k3 on.2i r 4owlday4z0 p5gxximum?

  Doubling only the amplitude of a vibrating mass-and-spring system produces 1 0moi7yzge0gwhat effect on the system's mechanical en zoygemi 0g071ergy?

  Doubling only the massf b+ujs*)8 9 xujnu9vh of a vibrating mass-and-spring system produces what effect on the sysjbuv+)sn8* 9u 9hu fxjtem's mechanical energy?

  Doubling only the spring constant of a vibratin)k,rrx.wy bs 1nh e(l,g mass-and-spring system produces what effect on theye(x1, knwh, rslr.b) system's mechanical energy?

  A mass oscillates on the end of a spring, both on Earth and on the Moon. ,l gz+l(+cr+/n0m0g j myryzz Where is the period +rrcyg0 zg(zll myn+/, z+j0m the greatest?

  Increasing the spring constant k of a mass-and-spring system causes what kind o* 5-:lx;igcce.ug9pm rz 9vm 6 hutl0o-3ydntf change in the resonant frequency of the system? (Assume no change in the sy6tut-ezi -lg*.h;v3 9 cm9m:x dplgu cnor5y 0stem's mass m.)

  Increasing the mass M of a mass,/*lgld nz8jywyxik t9yb g;:t- 1wh8-and-spring system causes what kind of change in thel 8tx gy,ly;z9yj *nik wbd/:8-g1wth resonant frequency of the system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring systeme zqvo hambo44z4o+q28 )7upw causes what kind of change in the resonant frequency of the system? (Assume n8abv zhop4)uw 74o q2zmo4q+eo 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 string oh3sen;w+*,do olpog)no /ct 0f length L. For this system, when undergoing small oscill0c;tlo dg pnhw /no)+3* o,oesations

  When the mass of a simple pendulum is tripled, the time requirery6 cal* 03tqmd for one complete vibratiotl0am rqcy6 *3n

  Both pendulum A and B are 3.0 m long. The period of A is T. Pendulnqmt mx;-n8-e dw;)e uum A is twice as heavy as pendulum B. )d w;n- 8ntmux;-eemqWhat is the period of B?

  When the length of a simple penddh4)ccqcp :8)x )jdjr+ hu *p8ods1awulum is tripled, the time for one complete vibration pa ))dxo d rcdscup8*81)h4+jq :cwhjincreases by a factor of

  What happens to a simpljzanf)0+q tkh*pkl + evgzk0s4i 197be pendulum's frequency if both its length and mass are increasei*j+z l094 7z+na hfkvk1 tgpbqske0)d?

  Simple pendulum A swings back and fhdag 48(t4a:u 8nqecq orth at twice the frequency of simple pendulum B. Which staace: 4 t(h8q48gudna qtement is correct?

  If you take a given pendulum to the Moo;zf 8dbkk2j;(dz/lyi bx z7/mn, where the acceleration of gravity is less than on Earth, the resonant frequency of thek87ijdklx ;ybz 2/zz (b f;m/d pendulum will

  Curve A in Fig. 11-1 represennm,yi1rfz q1ngu/ wqxo 7+s39ts

  Curve B in Fig. 11-1 reprej te3zq;) 5m-xy/eq a.37co jl.jjbzesents

  Curve C in Fig. 11-1krgpee,h; jzkx/2 2uq,ak1y ) represents

  For a forced vibration, the ampl,9k k2 hjx+,leobh*s.c r qnp1itude of vibration is found to depend on the

  In a wave, the maximum displacement of points of twuwe 6oc8a/e/ he wave from equilibrium is called th8 woe/w/ce6a ue wave's

  The distance between successive crests on a wave is called the wax:7qgn,s s we-ve's

  The number of crests of a wave passing a point per unit time is calle hw* fg 6g)hu72.2 2vnbpifvtrd the wave'sh fvr6bp2v27gufg.n t)iwh* 2

  For a wave, the frequency times the wavelength is the wavei+q,iyuq7tx0q x4.n ny q 2*ke's

  The frequency of a wave incrtmr .tjwdm: u 2-7iuo; hi*i-qeases. What happens to the distance between successive crests if the speed remains cit-.i d2m *7hiuq-u;:r ot wjmonstant?

  A wave moves on a string with waveleng5gbs,t+xd p7 .(bg hxhjha2x863bjxb th l and frequency f. A second wave on the same string has wavelength 2l and travels wit+7 dhg. 2(hxt p,3j8b6xbgbjx a h5sbxh the same velocity. What is the frequency of the second wave?

  Consider a traveling wave on a string of length L, u c :: rodw8 ab97zn6qo47o)hxdelu 9h9o2xmumass M, and tension T. A standing wave is set up. Which of the following d4 u: 7q ad 2) c9r6oownzx9u7e:ohlxhuomb89 is true?

  A string of mass m and length L is under tension T. The speed of a wave b/oms3mwc agj h2+ jo,(j0lf.in the string is v. What wi cho+lbmjam 2os.w3/ f jgj0(,ll be the speed 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 r ,z ard,dx/6bis 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 length is inarb6 z,/dr d,xcreased to 2L, with no change in mass?

  A string of mass m ae4ideb7fl 8q 7s7:wfynd 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 dwle e q7bf87 f4s:7iytension is increased to 2T?

  In seismology, the S wave is a tranxxvy7, r *tnuyz4 4on2sverse wave. As an S wave travels through the Earth, the rela2*rt7xzy xvu4,yon4 n tive motion between the S wave and the particles is

  In seismology, the P wave is a longitudinal wave. As a P wave tra 8wowlqxy5** qvels through the Earth, the relativqqyox* w5*l 8we motion between the P wave and the particles is

  The intensity of a wave ut(/ 0pts:w+4n cbk tjis

  A wave pulse traveling to the right along a thin cord reaches a discontinu htswc,x8 j15fity where the rope becomes thicker and heavier. What is the ors8,wfj5 xhtc1 ientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes paryb,7 arsua i (0.avu0ss each other on a string, one is traveling toward the right and the other toward the left. At the point that they occupy th0(av7,a s.r0u ruia ybe same region of space at the same time

  Two wave pulses pass each other on az )2dbjgk+de5mp k* +y string. The one traveling toward 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 occkdjg+k e+bp5 2z*dm)yupy the same region of space at the same time

  Resonance in a system, such as amem1 sy ;:vy:n string fixed at both ends, occurs when

  If one doubles the tension in a violin soo/f/ytfzg-eac1 p1f i5t t.4tring, the fundamental frequency of that s.yi t-e z gtft1ofac1/45o /fptring will increase by a factor of

  What is the spring constant of a spring that strb,hi -suti -ztwd:s:(etches 2.00 cm when a mass of 0.600 kg is ss-u (-h:wzb,:tt idsi uspended from it?

  A mass is attached to a spring of spring constant 60 N/m along wnz.h:7n vqmc 0 1+lzu;u ig9da horizontal, frictionless surface. The spring iv.nh:zzm ;9+cuu nqi1d 7lwg0 s 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:ut ;5sufjrz 7 spring constant 60 N/m along a horizontal, frictionless surface. The spring is initially stretched by a force of 5.0 N on the massu r7:tsu jzf5; 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 .*qtll k 7p2qwd:,l townq6z: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 lewq6z op.lw:nqdl: t*, t7lk2qt 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 undergoes SHM. It goes through 10 complet 6 c40ufdvul/fe oscillations in 5.0 s. Wh4 f6vul0cfud/at is the period?

  A mass vibrates back and forth from a . xr;7gkhho:the 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:oh a.7x; grkh mass when it is 0.30 m from its equilibrium position?

  A 0.50-kg mass is attached to a spro3rvep )a3v.uing of spring constant 20 N/m along a horizonta3e3vu)rva .pol, 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 total energy of the system?

  A mass undergoes SHM with amplitt x,mgkojw+x6cv c4qzzg t1+zct8 44y6(*rovude 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 energy of the systext4ztwvjq 1rk+c+t6c(c m ogxg84z4 *v oy, 6zm now?

  A 0.50-kg mass is attached to a spring of spring 9*;nscub((a uof18qf (pd dwuo 8;wwaconstant 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 8qw(udsub; wu*apfw ; ((c1ondf9a8othe equilibrium position. What is the amplitude of vibration?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m along a horc; *0 q fop3u8ui zkbcb)eb9.mizontal, frictionless surface. The ob*;bub u0 mqof.)8ckebi3z9 pcject oscillates 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 horizontal5n8k) sys9ixq spring of spring constant 50 N/m and set intk5in ) qsxy98so simple harmonic motion with an amplitude 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 horizontal spring of sprin lrwwtt r68i++ujmi5 )q d2ud*g constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the total meciq)u+d2m5rtwud*l 8 w6t j+r ihanical energy of this system?

  A mass vibrates back and forth from the free end ofrcf8ml2xot65 an ideal spring of spring constant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kineto c86t25l rmxfic energy of this vibrating mass?

  The mass of a mass-and-spring sy +-/u5ek(k0yihjf7aso mvp (jstem is displaced 10 cm from its equilibrium position and relem/(-pkyohv( 5s70ejaju i fk+ ased. A 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 attached to rt7n+ktzuq +bc9w c *5a spring of spring constant 10 N/m. The object isnq c ubw7rt9+5+ktzc * 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 vz*c(1wn 6 am(j 0hixawbv8/ jspring constant 10 N/m. The object is displaced81(*/z(0 wvb6ah mjajixvnw c 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, displaced slightl .nq6(wrubn/oy from w6 bqo.n(unr /its equilibrium position, and released. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillate, fk5sr ehk2 l399gej7jpz;re s at a frequency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. ;ek57jfjz3eer,9l92s k rg p h What is the maximum velocity attained by the mass?

  Two masses, A and B, are ax,.r+g x xya +hb)bc4mttached to different springs. 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 c bxgh,)4y+.rb+xm c xaompare to the maximum speed of B?

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass stretcrq5ko8.)v brk hes the spring 2.0 cm downward. The mass is then pulle8k)q5 vo .rrkbd 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 equilib 0ce,5cst*ewe 8r)v /:1jbb debxbt8srium the mass stretches the sp8t)cv* sb: e5sr0tw b8bjx /1ecbdee,ring 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 system.

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass stretches ,orjk-8w ab(rdkq d 2um:.6nx the 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 equatk.u(w ad2-db : nkq jm8rx,ro6ion of motion.

  An object in simple harmonic motio3hdb md*s9 qogf:c(j,n obeys the following position versus time equation:9 c: ,g(jhfdqbos*m d3
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following position versus time eq ;qjil-ywe ygzf*1z/6 uatiozy*gzyi1l j/ we6-; qfn:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following posx*r d--a5sb n;v fxttqh;qv;t,s-1d jition versus time equn;1,sxj;ahtv*5tq v b --drfxdsq ;t-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 a springlc orvsolg0bv-c5i m3 5l55 :l executes simple harmonic motion according to the equatiog5- rl5vlsl0vo b5c5ilmc3: on $y = 0.50 \; \sin (18\pi \times t)$ 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 los5*x id(gx c ho1m /yz15ns/of 20.0 N/m oscillates on a horizontal, frictionless track. 5o cl1ds*io ms yxg/n/z (1x5h 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. (fa )d3n uhv4pv(.*lk7tpr(vx a) What are its frequency and period on En ku4l)f v3rpd a.p h(v*t(x7varth?

  A 3.00-kg pendulum is 28.84 m long. What is its pe7t71b*hfzo9dvz b- pp riod on Earth?

  A pendulum has a per1k f3ix4oa4t p 7,fzfiiod of 2.0 s on Earth. What is its length?

  The pendulum of a grandfather clock is 1.0 m long. What is its pefm0u7u4t/ye iriod on the Eari ft4 07uueym/th?

  The pendulum of a grandfather clou1df: f ka)6vh4sq, ubck is 1.0 m long. What is its period on the Moon wkvs4q a,udh u61) :ffbhere the acceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consi;va mxdxlcepu4 (r:2hvm 9: ;ssts of a 0.25-kg spherical mass attached to a massless string. When the mass is displaced slightly from its equilibrium position and released, the pendulum swings back r m:humv94 dx2:xpa;v cs(; eland 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 displacxlm*)qai. y d*ement of mld*i.) *y xqa8.0e. It 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 time. The frequency of the wa/(.;+ :cqil4mbu ku sf eth cw4k zmb,o+av,7dve is az/f uv: .q+m;e 7 c tbskmokuhd(bl,4,ci+4w120 Hz. What is the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequ 8r37 6huqorexq qihq 7b:h:dt(h kf*2ency of the wave io: er*f8 2:7xqthu 6ihqdbrqh h3q(7ks 120 Hz. What is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequenc ufw oqu2s(p4:y of the wave is fqu4:wspou 2( 120 Hz. What is the wave speed?

  What is the frequency of a wave which has a period ph 8t)nhq07*dl7toh wyk/ n)zof 6.00 ms?

  What is the period of a wave with a frequencyv, 2:tneeo:f/4 vu w0a:oum sg of 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz and apm*o0hh.kc037pf 4api hdn d+6q:hhuain q;8 wavelength of 3.0 m?d0*pphh 84+ :c6hk3pa hmfq7;q0iuao . hindn

  What is the velocity of a wave that has a wavelength o5sya x9 )rqr. a)id oi ;/4sqmhja7on3f 3.0 m and a frequency ofo adqi5y73 /ha s 4sr mq.9an)jo)xir; 12 Hz?

  What is the frequency of a 2.5 m wave traveling at 1400 m/rxdcw7v rz zp/ v;m3lw-1d*:fs?

  A piano string of linear mass density 0.0050 kg/m is und0..c +oqdwl q6oj4gb per a tension of 1350 N. What is the wavel+b0wo g dq.cjpo4q6 . speed?

  A string of linear density 6.0 g/m is under a tension of5y n0qd6d .oba 180 N. What is the velocity of pryno65ddb .a q0opagation of transverse waves along the string?

A wave whose wavelength is 0.500 m is traveling down y*vq+0nn gp vxabf-o2ls u 3,z1.zxm8a 500 m long wire whose toto -nbzsva* 0+q,gn1zvm2 y3.8x fxlupal 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 str.v)il)h/0w ya:f2x ) d )w63o7scpczvjthitl ing fixed at both ends is 200 m/s. Which p)dxww z.) ojv6cics7l2thyh3il0f/v) ) a t: one of the following is not a resonant frequency of this string?

  If a guitar string has a fundamental frequency oj m*wpb6u txzq 9v-h yw4ae9(,f 500 Hz, which one of the following frequencies can set the string into resonanaymv-te*zhqu(j,p9 bx4 6 9wwt vibration?

  A stretched string is observed to have four equalbjcp /dd47tc + segments in a standing wave driven at a frequency of 480 Hz. What driving frequency will set up a standing wave with fivc4+j d7tbpd c/e equal segments?

  A string, fixed at both ends, vibrates at a frequency of 12 Hz with a zwvy1k:s:ts 1 pmn m),standing transverse wave pattern c)1kw:,ssn:y m tv1zmpontaining 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 af9nz,3h,edko *wu sy ( tension of 20 N. What should its length be nkfsz,3 yw(*, e 9ohudif its fundamental resonance frequency is 220 Hz?

  Find the first three harmonics of a string ofe+v) 4xv;6w lc t1ebhdzoad+ 5 linear mass density 2.00 g/m and length 0.600 m when it is subjected to tensibhde6d ) cow v+1vt l45e;a+xzon of 50.0 N.

A string of length 2.5 m is fixed at both ends. When the string vibrates d. ot,d. -qi h41fpmurat a frequency of 85 Hz, a standing wave withdtd f. mqriu41p -o.,h 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.