The time for one cycle of a periodic process8ct l.nz9d .oa is called the

  For a periodic process, the number of cycles per unit timeu-4htuh -md2h is called the

  For vibrational motion, the maximum displacement from tha1yc ax;7psa; e equilibrium point is called th1;c aapsx7;ya e

  A mass on a spring undergoes SHM. When the mass is at its )jpla 9) xif0j:. mkwom+sx - ou4k0mcmaximum displacement from equila0x mkup: 0cx4i )fms -+9.jkwmjo)olibrium, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass passes through the jqshmm2+yru4b9 vv+ ; equilibrium position, it+qbvmjm+4;yv urs 2h9s instantaneous velocity

  A mass on a spring undergoes SHM. When tj1 fya5)jv ry2he mass is at maximum displacement from equilibrium, j)2 vyjr5f1 ayits instantaneous acceleration

  A mass is attached to a vertical spring and bobs up and down between pjrxr f80i.,wauh uq) kq,m.5m oints A and B. Where is the mass located when its kinetic energy is a minimum? fqmu8 mar.q5 iu),jr,hw.x0 k

  A mass is attached to a vertical spring and bobs up anbu;2s8miy dfr l3(sq ;)2 s 2vcqnkm1xd down between points A and B. Where is the mass located when its kq1rq)8 2;mim sufs x(3kd22nyv l;bcsinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up and down between po2cu;- xu,ytg ze5, k xbklh)3aints A and B.kuxzxbk,c,yg;hl 3 t5e-) ua2 Where is the mass located when its potential energy is a minimum?

  A mass is attached to a ver0ky7rw )ff:a*e;nl92l vr h ktoqki1)tical spring and bobs up and down between points A and B. Where is the hk* vr w;no)f:if 1ye0llq97t k2k)ramass located when its potential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-spring skgpa 4jq1g0 nys,b 50i l y3xopjw74*kystem produces what effect on the system's mechanical energy?j4k,k57 g p0gw yjqxapbyl 301 s*noi4

  Doubling only the mass of a vibrating mass-and-spring systemp8,vkfc a l70r produces what effect on the system's mechanic7fr l,ac80vp kal energy?

  Doubling only the spring constant of a vibrating mass2p/zqjkqt0,50b3 cn gmdgkg6-and-spring system produces what effect on the system's mg60kgndzq2g5,m/b0 k ptqcj 3echanical energy?

  A mass oscillates on the end of a spring, both on Earth and on the Moon. Where h:-ciyh uj+wp .i(x4t ,tqi.q is the perio cwtxhi+4uq:.ih(tjy-,i.qpd the greatest?

  Increasing the spring constant k of6vllnlmrp o57v6er h*6vl**w a mass-and-spring system causes what kind of change in the resonant frequwlrnl7 h*666vm *oe5vlpl vr*ency of the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring d9e7uc2 xbxa (s..efg system causes what kind of change in the resonant frequency of t(d2exa.s9 efc g. u7bxhe system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spr 8u9o5eb t36f)knndxt ing system causes what kind of change in the resonant frequency of the system? (Assume no oth do9f)e b3nk nt58ut6xer 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 Mgp++brr+gx 8c-()mz )mp ezex attached to a weightless string of length L. For this system,r-exb+e) ( mgprpz+8z +c)xgm when undergoing small oscillations

  When the mass of a simple pendulum is tripled, the time r 68f tmt.d.b5mg pld vjp8o)n6equired for one complete vibrapt8d6pnbv.8dt5f.gmo6m j ) ltion

  Both pendulum A and B are 3.0 m long. The period of A is T. Pendulum A is twic p-w f: s+qjp5jxm31iue as heavy as pendulum B. :u j+qx5f s3i 1pmjw-pWhat is the period of B?

  When the length of a simple pendulum is tripled, the time for (v7 r8out a8pt2 6xy,d8e hvpyone complete vibraty,6uxe vh7d ot8p28v( ytap8rion increases by a factor of

  What happens to a simple pendulum's frequency if both its le t 2-fuysxe2t;;)axi kngth and mass are increased?xx2k2)-tya te i;u;s f

  Simple pendulum A swings back and forth at tnu x/aa33lia 3 h. kmqz/7;idiwice the frequency of simple pendulum B. Which statem .3mhi7;n auzx3q3lk a/ii/a dent is correct?

  If you take a given pendulum to the Moon, where t6 qwamq( (.iqche acceleration of gravity is less than on Earth, tq 6cqqi(.m wa(he resonant frequency of the pendulum will

  Curve A in Fig. 11-1 represents j, /mtptf8ij:

  Curve B in Fig. 11-1 represe ygmlnd7),rd+ r 92tclnts

  Curve C in Fig. 11-1 rep)w o*-cu5ozec(o9 n haresents

  For a forced vibration, the amplitude of vibration is found to depend on toeh w2 8.yabchd;uv5xz8f5r3 he

  In a wave, the maximum displacement of points of the wave from equilibrium ide2: qqs.c) ua yuk/9ps called the wavyqcd/k2 as.: uq9ue )pe's

  The distance between successive crests on a wave is called the wave'sgb a 1c;18 o7ni b0p rjgwlx9azk:w9nce(90qq

  The number of crests of a waverknjdd7ee 8 9t* gdb65 passing a point per unit time is called the wave'k7bd jn8te59 d6g er*ds

  For a wave, the frequency times the wavelength is the wav,9j q0o *eeh6toof-)kgb a9gce's

  The frequency of a wave increases. What happens to objj8b w/3r7s the distance between successive crests iforbsj/8 j3b7 w the speed remains constant?

  A wave moves on a stringcwa4 hub p)(.r4 .vcse with wavelength l and frequency f. A second wave on the same string has wavelength 2l and travels we wv).c4sb4 u crp(ha.ith the same velocity. What is the frequency of the second wave?

  Consider a traveling wave on a beff4k6 l7: yystring of length L, mass M, and tension T. A standing wave is set up. Which of the following is tru64 fy7f ebl:kye?

  A string of mass m and length L z/y:le d-w4 ri,atva, 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 of the string is increased to 2m, with no cyv/ aa:t-,rz, ed4 lwihange in length?

  A string of mass m and length L is under tension T. The spent8, vkw40gwnua4b3viv4cw;ed of a wave in the string is v. What wn4w4ctv n wk0;v4b ig8av,u3will 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 tension T. The speed of a wave in the /izy:ub+i/c o string is v. What will be the speed of a wave in the string if the tension is increby/z iu+:/oi cased to 2T?

  In seismology, the S wave is a transverse wave. As a3 ve65noo)iz;7p zprwn S wave travels through the Earth, the relative motion between the r)vpiez p7o;o nwz635S wave and the particles is

  In seismology, the P wave is 2cywt 9uq)4 w gzm62x,zlex2 .9vd elaa longitudinal wave. As a P wave travels through the Earth, the relative motion between the P wave and the particles mde wx9u v4e.l2g2wa6t l,z2)zq9 xcy is

  The intensity of a wave ir8nijl4r2h. c s

  A wave pulse traveling to the,d9fk b9aj 9q-rk(+1wj hiq+ egs4q ; dzx9tii right along a thin cord reaches a discontinuity where the rope becomes thickeab9w j-keg9 94+ zd1+ti; ( shqkr9jii,qqfxd r and heavier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitude a4vqwtyh0a.mr5 .1p us pass each other on a string, one is traveling toward the right and the other toward the left. At the point that they occupy the same region of space at the same t40u.p. waa1vhr tq5ym ime

  Two wave pulses pass each other on a string. The one traveling sp2( w3p))spbhx a7eh xix*4c jk 83estoward the right has a positive amplitude, while the one traveling toward the left has an equal amplitude in the negative direction. At the p*2p(sbh8jswpa3es x )pc43i)xeh7xk oint that they occupy the same region of space at the same time

  Resonance in a system, such as a string fixed at both env lhu. f il-etbfd+45)gln 3;fds, occurs when

  If one doubles the tension in a violin string, the fuzh7ex h v-yfb41clp/o vkg307 ndamental frequency of that string will increase hg0pyvv7 7bc 4x /-zok1f3hle by a factor of

  What is the spring constant of a spring that stretches 2.00 cm when art.q ey;; ))fbr t7lhg mass of 0.600 kg is suspended from i)e;bt )l. hqy7;gf rrtt?

  A mass is attached to a spring of spring constant 60 N/m along a horizls*3m3kizeiz o/e69b /0k vvnontal, 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 *zls//znei9bvvie 36kmo30 k when it is oscillating. What is the amplitude?

  A mass is attached to a spring of spring constant 60 N/m aloixa dw(7(d8x gf+up1lng a horizontal, frictionless surface. The spring is initially stretched by a forcxu+x(gfwia1 ld8 p (7de 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 horr( h4e6 e-1k:fqazj ipizontal, frictionless surface. The spring is initially stretched by a force of 5.0 N on the mass and let go. It takes the masaz fk (priej: heq146-s 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 complete oscillations iy)bg qya/q4s 95pmlt,3ai d97lpf i8in 5.0 s. Wpfs9i/ap9yqbyll i4qi)a 75,3td8gm hat is the period?

  A mass vibrates back and forth from the free end of an ideal spring of spreon)9*nxk ,x cing co) 9nxo*kxc ne,nstant 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 from its equilibrium position?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/0+ na m3cfydzj ds6w9v1g vl((m along a horizontal, frictionless surface. The object oscillates in simpl(3s md(njwlfvg9 a 1 y6d+v0zce 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. The energy is e 8umm )81ixkm8.0 J at this time. The mass isi88x 1kum em)m 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;dxehqa jh.5n*)xlegtfw-; . constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simplejxeht;xng -.we .f*;dla q)h 5 harmonic motion and 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 spring of spring constant 20 Npnv3 p3( xic(t;hh8t e/m along a horizontal, frictionle3n te3;ihx8p(pc( thv ss surface. The object 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 horizontal sprinwi(p zfv7*s phzln 1m4 .:/rjog of spring constant 50 N/m and set into simple harmonic motion with an al1 /h4(:p wvf *s jm7ni.ozprzmplitude 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 ho. gncutc5 ;fp6rizontal spring of spring constant 50 N/m and set into ucg.pt6cf n;5simple harmonic 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 an ideal spring of spri cn :uah:/dz0gbrm1zqh( m 5;sng constant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kinetic energ( duc5nr; zz/bg:qa1:m0mh hsy of this vibrating mass?

  The mass of a mass-and-sprinqj f)zl9n2ojbi 6q1 cd+ y7w8lg system is displaced 10 cm from its equilibrium position and released. A frozq)q9n1d yj27li+ 6f cwl8jbequency 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 attachttdh 0e9 o y42/ul:yrpk m-yk/ed to a spring of spring constant 10 N/m. The object is d /rh4u-l: /my2k kpyoyt9t e0displaced by
5.1 cm from the equilibrium position and let go. What is the period of vibration?

  A 4.0-kg object is attachd-sa,n 70uod led to a spring of spring constant 10 N/m. The object is disp-nla u0,7dsdo laced 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 coo)hcia7xt / )slpuwwhl f.afs7/ )v36nstant 18 N/m, displaced slightly from its equilibrium position, and rew/3v/asp 6lhi hu))w)o c f7l .axfts7leased. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at x*5q80lx h87e 8cl gstg cnjv yh2m7t7a frequency of 1.27 Hz when displaced a distance of 2.0 cm from equilmx7 *758l88ch vht27gxqecny t l s0gjibrium and released. What is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to different springs. ouqm; u8b -yn+ Mass A vibrates with amplitude of 8.0 cm at a frequency of 10 Hz and mass B vibr8b yn u-+uqm;oates 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 j 9e nxn9zw7c(fe9i5ma spring. In equilibrium the mass stretches the spring 2.0 cm downward. The5emx i979n(9wze n jcf mass is then pulled an additional distance of 1.0 cm down and released from rest. Calculate the period of oscillation.

  A 0.30-kg mass is suspender,rm3zhn 9cv9fv5x.w t+ntk7d on a spring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distancrz.+5v 9 9tvn3mtrnxwh fk,c7e 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 sw(;f-vbh *d- kxbv7xntretches 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 itsf*k ;db(w-nhv7bv x- x equation of motion.

  An object in simple harmonic motiond*w)jk n ya8a i9muh42mov * qy3fz8s. obeys the following position versus time equation hi.4wm u8o3ayfz *2q9syjd)mkv 8a* n:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following position versus+e/g y m :;h.ovjirh1z time equatz 1:yv./rg +ie;ohmjhion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple haenhbha cm:w36 q 4c5v5rmonic motion obeys the following position versus time equa6nc5ab:h 4e3 w cv5qhmtion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple harmo zy :cib fv 9;its0uvx12k0l+snic motion according to the equatizft1vsi2 y u+ ikv;b0:cx sl90on $y = 0.50 \; \sin (18\pi \times t)$ 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 :vks 7atfa,7sof 20.0 N/m oscillates on a horizontal, frictionless track. At t= 0, the mass is released from rest at x= 10.0 cm. (Thatkfa7t s s,v7:a 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 switnj q b (.jfgdi*y2.:gngs in 8.0 s. (a) What are its frequency and period on :nbgq2j t *iyfg (..djEarth?

  A 3.00-kg pendulum is 28.84 m lo06-a mkmq7dhy ng. What is its period on Earth?

  A pendulum has a period of 2.0 s on Earth. What is its length?+ bg0 ioy(ddug0.m+ zr

  The pendulum of a grandfather clock is 1.0 m long. What is its period oe+te o) uargb3fxq 8+(-0pum :rdom s-n the Earth?e( uqms-p 0mf:ub+doag rr- t+38ox )e

  The pendulum of a grandfather clock is y p d+f;3a*hhjq ga6rjt6*g9n 1.0 m long. What is its period on the Moon where the accedjhnaah*r3 pf*ytg;+ g9j66qleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass0d0sza ffu7 -1aqx(06ric/i4pqa m zk attached to a massless string. When the mass is displaced slightly from its equilibrium position and - z4(s f0fmua1czd 0a 67 r0x/qikqaipreleased, 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 consiszl* i22wx.dhsting of a 20-g mass has initial angular displacement of 8.0e. It oscillates with a period of 3.0hdsi xw*z2l.2 0 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 "snapshiosd-* zd1wi 4ot" of a wave at a given time. The frequency of the wave is 120 Hz. What is the amplitud o-*4isd1dziwe?

  Figure 11-2 is a "snapshot" of a wave at a gisr;im99kj. hx0bqako. ti 0v2 ven time. The frequency of the wave is 120 Hz. What i. rkv.a b jhkx;99os0 tiqi20ms the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency of t rj +rge. (zo0tijq.5ohe wave is 120 Hz. What is the wave spe+i ot.r o0e.gq( r5zjjed?

  What is the frequency of a wave which has a period of 6.00 m.b0q1f7zzgp+lq9u dgyb9+n z s?

  What is the period of a wave with a frequency of:jciy*+ng0;o kc0 zjf 1500 Hz?

  What is the wave speed if a wave has a frequency of 12om u,a*7 pefq f*kg4nwb7,e+f Hz and a wavelength of 3.0 * b meuafnek4,wp7f, o7gf*+qm?

  What is the velocity of a wavexhvqt8da(wq 8)z 5f.,wvse2b6)ikv s that has a wavelength of 3.0 m and a frequency of 12 hsia8. sw)dt65zv , qk)fwx2(8vbevq Hz?

  What is the frequency of a 2.5 m l6pk9,bkncbr.5jel;oy ys0xf, 5uj;wave traveling at 1400 m/s?

  A piano string of linear1g2v5uz gm5mf mass density 0.0050 kg/m is under a tension of 1350 N. What is the wave spee512mz5v gg fmud?

  A string of linear density 6.0 g/m * zwvif7i0u1mkay, 0pis under a tension of 180 N. What is the velocity of propagation of v p 1im,7wiak*0zuy0 ftransverse waves along the string?

A wave whose wavelength is 0.500 m is traveling down a 500 m long wire wh x; mzuyb6)ux6ose total x ;xb66 uuzym)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 longn;y q9j1ttn; k* qd q:h7xnq:p string fixed at both ends is dt ;nk:7:qq9ytx;npjn* h 1 qq200 m/s. Which one of the following is not a resonant frequency of this string?

  If a guitar string has a fundamental frequency of 500 Hz,c4swaeaeee9mwd )d2,cf; 1 3e which one of the following frequencies canae d21,eecmcdsfwe w9ae; )34 set the string into resonant vibration?

  A stretched string is observed to have fkube lc .ce(,w, .y/uzour equal segments in a standing wave driven at a frequency of 480 Hz. What driving frequency will set up/ e.,kzu bcw,cle(u.y a standing wave with five equal segments?

  A string, fixed at both g( lq1y a-jut, ih79 cximd5d,ends, vibrates at a frequency of 12 Hz with a standing transverse wavud-,dt,g(7 9l15hcyxaq mjii e pattern containing 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 a tension of 20 N. What sho rct8bm.nzw - 7cf3,wvuld its length be if its fund ,nm ww.z-8b7v 3ccftramental resonance frequency is 220 Hz?

  Find the first three harmonics of a string of linear mass density 2ut6it 213e5ge9s 1yf7qadfy q tsfs;2.00 g/m and length 0.6s2 yf9q 131es6a7tdiye qft;5us2tgf 00 m when it is subjected to tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. When the string v 6dxs/f dz6qk-ibrates at a frequency of 85 Hz, /fs6q-6dz k xda 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.