The time for one cycle of a periodic przt f .lzp/4phx/az2* : t1jzlxocess is called the

  For a periodic procesyyhl59e0 vl3 z ehy-/6apc2 vms, the number of cycles per unit time is called the

  For vibrational motion, the maximum displacement from thei1hi k:t tu+w/ equilibrium point is callew uh:k+t/i1it d the

  A mass on a spring undergoesny( yjyk -g5d x8u/,xlm.av( z SHM. When the mass is at its maximum displacement from equilibrium, its instantaneous velocxdl k,(y.vy 5a8 gjyu-/x z(nmity

  A mass on a spring undergoes SHM. When the mass passes through the equidi87.lqqx x/tlibrium position, its instantaneous velocit.dtix 8lqq7x /y

  A mass on a spring undergoes SHM. When the mass is at maximum6 nvri;vhr6tcp7.r-o displacement from equilibrium, its instantaneous ar;n.v vo6p6-t chrir7cceleration

  A mass is attached to a vertica pjpar.8j. nvu5bl;-t l spring and bobs up and down between points A and B. Where is the mas.lb u.jprn8t;5ap - jvs located when its kinetic energy is a minimum?

  A mass is attached to a vertical spring and bc;y zokhu8t0pkw1f6 -mu.v afx 43* wbobs up and down between points A and B. Where is the mass locatx1ufv-.pakmzc 3 wb6hfu80 k; w oy*t4ed when its kinetic energy is a maximum?

  A mass is attached to a+twi n2f4s;n5tojti- vertical spring and bobs up and down between points A and B. -jtitnwi+ons f;2 54t Where is the mass located when its potential energy is a minimum?

  A mass is attached to a vertical spring and e1,,dp7b7/pfsadl so bobs up and down between points A and B. Where is the mass located when its potentia,,1p af7s7l oedbp d/sl energy is a maximum?

  Doubling only the amplitude of a vibra 4uehvdq24(s zting mass-and-spring system produces what effect u sq(d2zhv44 eon the system's mechanical energy?

  Doubling only the mass of a vibrating mass-and-spring system produces1 .ks xk;mve obr. px1z39:nbu what effect on the system's mecheo;1 .v1 9p3 bsum k.nkxxz:rbanical energy?

  Doubling only the spri 3r lin6nk*9t6yovj my)y5i, bng constant of a vibrating mass-and-spring system produces what effect on thm *yln66 rk 9j ,iin5bvy3t)oye system's mechanical energy?

  A mass oscillates on the end of a spring, both on Earth and on the Moon. Whereu5lv 2c *ak gt8)9f t6acqjb*h is ttv* 8qal)jafg 5c2cb9t 6uh*khe period the greatest?

  Increasing the spring constant k of a mass-and-spring system causes what n x8gpd2/0yltkind of change in the resonant frequency of the synt2/lp0dxg8y stem? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system caus 6acd gr5f/wk7es what kind of change in the resonant frequency of the system? (Assume no change in theac56gf/7 rdkw system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system causes what kindx cg,nsux)0*i6 p2mbip/- ief of change in the resonant frequency of the system? )*2m/ s -pieix,fp x0nbg6cui(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 mass M attach l poc-e*aij8 .t x/.g/ ot:9tam;zavded to a weightless string of length L. For:o o-d */la; p.z89max ceaittjtg/ .v this system, when undergoing small oscillations

  When the mass of a simple pendulum is tripled, the time required for on cdwy:lh01bi/e completi bl:w1d /chy0e vibration

  Both pendulum A and B are 3sm 5 u(mk u7pz,;uet,i*re2 n3n ia**j9rvzzs.0 m long. The period of A is T. Pendulum A is twice as h7 ,9 ;5tunvu3rm *eanzei(ps zr,j*umzk i*s2eavy as pendulum B. What is the period of B?

  When the length of a simple pen6,4vb:5hpouga (ife-; ycqw rdulum is tripled, the time for one complete vibration incre5 ; 6rioau:ehq c-ywg vb(p,4fases by a factor of

  What happens to a simple p g 2wfeto/i11.eji4.2 v/apouaq9p rqendulum's frequency if both its length and mass are incrpvpgiewqt.o21aqoj/ ur /ea214if9 . eased?

  Simple pendulum A swings back and forth at twice the frequehv 7ygh4t3gq 8ncy of simple pendulum B.3q8h4 t7gh yvg Which statement is correct?

  If you take a given pendulum to the Moon, where the accelerayohxmnl nqm+*x 6l).; tion of gravity is less than on Earth, the resonant freqylql).mx;n +m hnxo* 6uency of the pendulum will

  Curve A in Fig. 11-1 ren2seiex n hs.g (,a1z,presents

  Curve B in Fig. 11-1 repr5nhx-.jp pn/;jzn um /esents

  Curve C in Fig. 11-1;ck7j 9lk 5sws +u2h(*u45x uzp bttxp represents

  For a forced vibration, the amplitude of vibration is fxkxhu*5f)po7 q,ze3 r ound to depend on the

  In a wave, the maximum displacement of points of the wz(8, gc.qt j uvd0(zwgave from equilibrium is called the waveuq8j( .g0 ,tgdz( vzcw's

  The distance between successive crests on a w. b,azq+lf km8z,-rsmave is called the wave's

  The number of crests of a wave passing a point per unit k i5 bqikj0ux7+dw3vosh9 5)e time is called the wave's75vki0e3ukhq)jx b95w+sd o i

  For a wave, the frequency times the wavelength is the wav 8z5e6toeku +/ yn.znce's

  The frequency of a wave increases. What happens zt-teh,f 3p r5to the distance between successive crests if t hr3tp tf5-z,ehe speed remains constant?

  A wave moves on a string witpilm ;xqmc,0o b2) h(wh wavelength l and frequency f. A second wave on the same string has wavelength 2l and travels with the same velocity. What is the frequency of the seom,wl( p) c0h;iqx2bmcond wave?

  Consider a traveling wave on a string of length L, mass M, and tension T. Api6 h( .ji22a8e mqaxxz .:m:e4j wose standing wave is set up. Which of the follox.e:zajm mieosp6jqa2(2 :wex .84h i wing is true?

  A string of mass m and length L is under tension fd 32sobi 4hf8T. 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 2b8s hf do34if2m, with no change in length?

  A string of mass m and length L is under(7+l jlhh, y5ls o5wlm tension T. The speed of a wave in the string is v. What will be the speed of a wave in the strin( swljh 5lm+7ho5y,l lg if the length is increased to 2L, with no change in mass?

  A string of mass m and length L is under tension T. Thw: 5+xt r9cgq.qarqy0e speed of a wave in the string is vc rqr :+wagyq.0t 5q9x. 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.ol(e 7:zcm 7t8tlbtk8 As an S wave travels through the Earth, the relatile lcm(o 77bt8:8zktt ve motion between the S wave and the particles is

  In seismology, the P wave is aaiee2q9 y/3tn longitudinal wave. As a P wave travels through the Earth, the reee/2iyt a n3q9lative motion between the P wave and the particles is

  The intensity of a wave i+xq0 6ep zwp0ps

  A wave pulse traveling to the right along a thin cord reaches a disco31lzmjsj9 -uintinuity where the rope becomes thicker and heavier. What is the orientation of the reflected and transmitted -j31i9 zjslumpulses?

  Two wave pulses with equal pos:2ultk/1afbsjcmu 8mb cijk4//wd 6(itive amplitudes 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 sambkb kw m1lfdj6ta /2s4:/c /8uijumc(e region of space at the same time

  Two wave pulses pass each other on a string. The one traveling toward the righ a,ooveeu 150*fo9/ovoyqm 7qt has a p ,ma 051 9oe/* oeovyqfqovuo7ositive amplitude, while the one traveling toward the 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, suae:. b roz0z;/nmszl) ch as a string fixed at both ends, occurs when

  If one doubles the tension in a vu.5r . qciztz8iolin string, the fundamental frequency of that string will increat z5cr.i qz.8use by a factor of

  What is the spring constant of a spring that stretcheg6w -j(g1ifrr,ps*o ; ac)h8djcr;tys 2.00 cm when a mass of 0.600 kg is suspe hir rjpo,;1* r)wg-g6sf (8;a dctyjcnded from it?

  A mass is attached to a spring of spring constux1d-e0 xxv e e-eo,(p kdhn19zle0q,ant 60 N/m along a horizontal, frictionless surface. The spring is initially stretched by a force of 5.0 N on the 1z(-x hqx,d9poev 0en e ued01x,e k-lmass 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,)d2fadgi i7d n03zvy a spring 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 go. It takes the mass 0.50 s to go back to its equilibrium position when it is oscillating. Wdn 7df z0)2gidayiv3,hat is the period of oscillation?

  A mass is attached to a spring of spring constant 60 N/m along a horizontal, fr6jrkoa3z41uqh+k * e,cm li(dictionless surface. The spring is initially stretched by a force of 5.0 N onr6q odzk 3mliu+41 ,caeh(jk* 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 undergoes SHM. It goes through 10 complete oscil 6c, u1cv+tqdllations in 5.0 s. Wvt1+ lc6dcqu, hat is the period?

  A mass vibrates back and forth from the o 20x mcf -/2obivhfef5/,0mmk me/yw free end of an ideal spring of spring constant 20 N/m with an amplitude ofe/f,f/-vmc yfkm omxmbo 02 /5eih20w 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/m along y:2svra e.aq0 tqj1v+ a horizontal, frictionless surface. The o. qq1rej:t ays0avv+2 bject 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. The energy is 8.0 pwkfhjy;a 9)ax+jxe(5+-oxhl( zxy l-bk.;n J at this time. The mass is cut in xxf9w);aj(axb. yx hz el5khko - y+pl-n( ;+jhalf, 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 8r-z(c pa1y9zd 5 fhey,(spbj/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 posi -es h zja1,f(5p8y rpzdc9yb(tion. What is the amplitude of vibration?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/-(,bw bs 0alvum 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.,v(0awb u-b ls 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 of spring constant wj5 -d*hi /6ab ggq-ji50 N/m an/ -gj-ba6d h5 iijg*qwd set into 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 spr7vsi9go)vg3c4qzrz) rau7*45g tj iiing of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the total m 4o u*a5)7zgi3 rrvi7c94gqgizt v)jsechanical energy of this system?

  A mass vibrates back and forth from uz (ix-gyf4 9tthe free end of an ideal spring of spring constant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kinetiz -tx(f9uy g4ic energy of this vibrating mass?

  The mass of a mass-and-spring system is displaced 1/-1u zx33mqa xp:cgo u0 cm from its equilibrium position and released. uoaq u: x-m3cxg/3 1pzA 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 a spring of spring constant 10 N/m. Thenxu+fqy6va 1z ghe(9 - object is displenz x 6-(gf9v1 y+uqahaced 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 sprinswm2z 7jpvz80mw6a: t g of spring constant 10 N/m. The object is 026zj8vwsz mwa: p tm7displaced 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 c98 *qvd8icutlonstant 18 N/m, displaced slightly from its equilibrium position, and released. What is the frequency of its8 l8duc*tq9 vi vibration?

  A mass is attached to a spring. It oscillates b4q:7el 8lzanat a frequency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What is the maximubne:z8l a 7lq4m velocity attained by the mass?

  Two masses, A and B, are attached to different springs. Mass A vivfyhh)*t8,9cl f0v nbbrates with amplitude of 8tlcvhfvyn)hf* 0 b89 ,.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 maximum speed of B?

  A 0.30-kg mass is suspended on a spring. In equilibrntnj 9bzv+2t 5ium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distancen 2jtn9z+v 5bt of 1.0 cm down and released from rest. Calculate the period of oscillation.

  A 0.30-kg mass is suspended on a spring. ,a;adc, fv:l9t-xe* vh d ff7iIn equilibrium the mass stretches the spring 2.0 cm downward. T a,cf,h7fad vxvieft*;-9ld :he 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 blwc* b+5w vxvj(yw)4 a spring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down andw vj c4xw+l(*y5vbb )w released from rest. Write down its equation of motion.

  An object in simple harmonic motion obeys the following position veru6qqtrp ybo-p-5 o2 ;tf a5i kh-c,w2nsus time equationqpor5p-noai 2 2w;uqy tkc-,t5h-6bf :
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following position versu ;l qr;l55vn k /s(ql23)sasp4cd hgqgs time equation vqss5/54pg;h al( d nqq2;slrl gk3)c:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following position versus g)m5 y.b azxikh. n(v3time equatzky av5i 3bg. mn()h.xion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple harmonic motion acc8l / zz8jk8nqrj8/ags5w:yl aordanyl 85/zj j s 8r8qawzlk:/8ging to the equation $y = 0.50 \; \sin (18\pi \times t)$ 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 coyi0ytr)qwx y j (-a.v v)((ggfnstant of 20.0 N/m oscillates on a horizontal, frictionless track. At t= 0, the mass is released from res tv yyqgr(i)(x0f.- j(ywvg )at 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/tc:un:x. ;wb p rqn2s frequency and periodn2ub;:rqt./n scxw :p on Earth?

  A 3.00-kg pendulum is 28.84 m long. What ocerpk70/cjf j,+4jq 3oe yf p/ap5i t28 0yuzis its period on Earth?

  A pendulum has a period of 2.0 s on Earth. What is m.kd6 67fovfwc9d s ,rits length?

  The pendulum of a gran)ct. h(wz vfs,dfather clock is 1.0 m long. What is its period on the Earw,ztsf)vh .(cth?

  The pendulum of a grandfather clock is 1.0 m long. Wha)puo. 4 z3leqi3+(d adbva8tfij77rit is its period on the Mobetp338.i(7qfz7oad + iu v 4r)ajlidon where the acceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-e90ae(xa gg i lj-;vv6kg spherical mass attached 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 2.0 Hz. What frequency would have resulted if a 0.50-kg mass (same diametegexli aev;9- ja(0gv6 r sphere) had been attached to the string instead?

A simple pendulum consisting of a 20-g mass has initi:3gj) omkdrow-e.k/ ax21.gs- oarjxe -i, yoal angular displacement of 8.0e. It oscillates with a peri,. eo)j jox32r-goas di k:. wag/x-roe k1my-od 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 on:139d*cjgkb 0o2unk km b3gfrequency of the wave is 1200 g o3do kj:3bmk21nbnu9c*gk Hz. What is the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given time. The freque2l+g j6hp 3xcvncy of the wave is 120 Hz. Whatjvc lx6phg32+ is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given titk 2qh,fd98r qme. The frequency of the wave is 120 Hhd,2fq 9r8qtk z. What is the wave speed?

  What is the frequency of a vtv,l rh)c. +td h.vy,wave which has a period of 6.00 ms?

  What is the period of a wave with ah+ e4 rf+:dgio frequency of 1500 Hz?

  What is the wave speed if a wave hapvvt;dm,s8q 1w 0i ;k c3t3kdrs a frequency of 12 Hz and a wavelength of 3.0 8 m tqkswctpd;k3130r;i,v dv m?

  What is the velocity of a wave that has a 73ngbdst ns(1wavelength of 3.0 m and a frequency of 1(ntgb3ds 7ns12 Hz?

  What is the frequency of a 2.5 m wave traveling at 1400 m:*5;6n b 7 e5 axfedmjftvr0fv/s?

  A piano string of linear mass den: jjfv3a ,7,/fzak/2h0qjq b kzf j:jdsity 0.0050 kg/m is under a tension of 1350 N. What is the wave speej 3a:jf/qvfkkd 7f,2zz ,q0j/jba:jhd?

  A string of linear density 6.0 g/m is under a nqv;8 rv98elj tension of 180 N. What is the velocity of propagation of trane8v;l vj8q9 rnsverse waves along the string?

A wave whose wavelength is 0.500 m is traveling down a 500 m long wire whok3dc6u3g* wd 7nbke3 yse total masseckwy g73*n3d u6dk b3 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 longihvue6 p0 .b0t0+1xznasl ,0 c/vkwtc string fixed at both ends is 200 m/s. Which one of the following is not a resonant fre,wvt6/0ah1 z esip0n0uctl+ . xb0 cvkquency of this string?

  If a guitar string hax,b/5mbc/+p5hm i:bn hzljfyup+1h9 s a fundamental frequency of 500 Hz, which one of the following frequencies can set tjy5h+pf9/m b5hpbb ln1+ i,m:zcx h/ uhe string into resonant vibration?

  A stretched string is observed to have ffzdq0j1+y8 fhp8dr p 7our equal segments in a standing wave driven at a frequency of 480 Hz. What driving fy +dpqf z1 8phr07d8jfrequency will set up a standing wave with five equal segments?

  A string, fixed at both ends, vibrates at a q 6qdlb0kc .,jfrequency of 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency is needed if the standing wave pattern is to contain 4 loo0qkl, bq dj.6cps?

  A string of linear density 1.5 g/sy36cgbq l5 (xn:f;ajm is under a tension of 20 N. What should its length be if its fundamental resonance frequency is 220 Hz?;y b6al s( xcn3q5jgf:

  Find the first three harmonics v bmx*g bfrh 9v) jz6/4s1jyj1of a string of linear mass density 2.00 g/m and l v)/ 1xz9fgrm hv*4j6bsby1jjength 0.600 m when it is subjected to tension of 50.0 N.

A string of length 2.5 m is ft.o4( jo ) +f0h mfjm3 )om3yu)ynzrazixed at both ends. When the string vibrates at a frequency of 85 Hz, h 0rmy.f 3ozmz3)jnm ()ofj4)tauy+o a 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.