The time for one cycle of a periodic prog2 sbwnr+so 85cess is called the

  For a periodic process, tfxc,1( c90 mtjt :brtfhe number of cycles per unit time is called the

  For vibrational motion, the maximum displacement from the equilibrium fxfo + 4kz.f1hpoint is c4z 1hf+o.kff xalled the

  A mass on a spring undergoes SHM. When the mass is at its maximum displ*/i nh2rsy16)v1 b xrpl n1 vcpuo-g,yv.tgl4acement from equilibrium, its inst -p*2 l,yp4lxvsh/gvognu)1.v16 yr n1 crtbi antaneous velocity

  A mass on a spring undergoes SHM. When the p xzmblrad -; q )-lp9vo8.bb;mass passes through the equilibrium positiop bl ;alb-ro)9zp -8.vxbqmd ;n, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass is at maximum displr d3g,b .,umwkacement from equilib ,3d., gukwrmbrium, its instantaneous acceleration

  A mass is attached to a vertical spring and bobs up and+w5rj8 h (uys3rlw;tc down between points A and B. Where is the mass located when its kinetic energ5;l tu 8+rywhrwj3(s cy is a minimum?

  A mass is attached to a vertical spring and bobs dv+qkqzk)m n d0;m-o +up and down between points A and B. Where is the mass located when its kinetic enkn)+ -kmq0;zd+vq dm oergy is a maximum?

  A mass is attached to a vertical spring and bobs up and down between f*hb 0nuex/+cpoints A and B. Where is the ma +e0nfubc /h*xss located when its potential energy is a minimum?

  A mass is attached to a vert*9e/ nn-moa5sk ui qg;ical spring and bobs up and down between points A and Bmn io;s/9 aqekug* -n5. Where is the mass located when its potential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-+g7gvu 1y;zkm spring system produces what effect on t g+z7 1;gmvkuyhe system's mechanical energy?

  Doubling only the mass of a vibrategil(ypogg25 t,) m 6g6dn;md ing mass-and-spring system produces what effect on the system's mnig(dmgg26gp , dtym)e;5o6 lechanical energy?

  Doubling only the spring constant of a vibrating mass-and-spring system prodpdj s(ha,-to 5uces what effectphs, aj 5(td-o on the system's mechanical energy?

  A mass oscillates on the end of a spring, both on Earth and on th00jxd c s7d+uou(6ug p4 *oxsoe Moon. Where is the period the greajo( ugu0*40xs6psd u7 x+codotest?

  Increasing the spring constant k of a mass-and-spring system causes wha1s.6s 8:uxl+dv)+x-dl1ks klcjrsan t kind of change in the resonant frequency of the syuds xk:sns1a8vx-cl s++.1l6 ldjrk) stem? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system causes w c3nz2h*ike6p);v,bh+v d lz what kind of change in the resonant frequency of the system? (Assume no change in tv2l c)n hzi6,*vp wd k3+ebzh;he system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system causes what kind of h0q wvugsi59+change in the resonant v 9uhqw 5sig+0frequency 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 mass M attached to a weightless strin(l*sw-d06m.js acwayg of length L. For this system, when undergoing small oscd6sl. m-y*wj0scwa(aillations

  When the mass of a simple pendulum is tripled, the time required for one co 3 (16ux*q8 9.tox+vd tymvnwv-ottqodq88 ncmplete vibrati x3qmdyut ot o9tqv6 .v18+w t*o8nvx(cq-d8n on

  Both pendulum A and B ar1-r+tt pyqutc *cg /a1e 3.0 m long. The period of A is T. Pendulum A is twice as heavy as pendulum B. What is a/y rqct*- ttc+11ugpthe period of B?

  When the length of a simple pendulum is tripled, the time for one co1m.ey -8 bit:lsslg9py nk5wz e aw8)*mplete vibration increases by a fagp *8s 8 lytzl nskwy.)5i :eaw1e-mb9ctor of

  What happens to a simple pendulum's frequency if both its length and mass)o tws;hu , vx2/bo3ad are incov)uh/ ;db 3oaw ,xt2sreased?

  Simple pendulum A swings back and forth at twice the frequencyx ;.-wjr8/rhuq ta j5q of simple pendulum B. Which stat5raw. - tqrjqh 8/xju;ement is correct?

  If you take a given pendulum to the Moon, where the acceleration18gok.hj0o my /bnwz53ffcg ) of gravity is less o w5cg3b8gnjf1 k/0fm. )y ohzthan on Earth, the resonant frequency of the pendulum will

  Curve A in Fig. 11-1 representsj /u67nx6 mf66bci dax

  Curve B in Fig. 11-1 rewo:dh;2nlhiw 72 x4f wpresents

  Curve C in Fig. 11-1 represen ,weyi wow)ny dv9fhje).9c e*b;g .t,ts

  For a forced vibration, the amplitude of vibration is ffg2:9aoq(wfzsi zkr 8rs1 (s. ound to depend on the

  In a wave, the maximum displacement of points of the wave from equilibrium t34rrj.a /ctc is called tt3cr jct/4.arhe wave's

  The distance between successive crests on a wave is called the wavec9olxes w5t9x1h -t q-'s

  The number of crests of a wave passing a pointga7m d:v9) x-c9;8vz j;loiv pffx t0m per unit time is called the wave')9vv;9m:pgzf8; vmf-lad7 0 co xtijxs

  For a wave, the frequency tre6acd )9ph;guvkb ( :imes the wavelength is the wave's

  The frequency of a waveai )hyvq7y7*6ydf)n u ngwc59 increases. What happens to the distance between successive crests if the speed ryn5uia)y 7ny * wc7vqhd9)6fgemains constant?

  A wave moves on a string with wavelex of6m3oqsd 6rt* e53lngth l and frequency f. A second wave on the same string has wavelength 2l and travelsdos mfxq33 r65tol*e6 with the same velocity. What is the frequency of the second wave?

  Consider a traveling wave on a string of length L, mass (o/ if c 57,r3ym,cy*d pxlflrM, and tension T. A standing wave is set up. Which of 3rr o7df/(c,yy cipx5lfl*, m the following is true?

  A string of mass m and length L is under tension T. Them;4 x)7baajt qj q3v9g speed of a wave in the string is v. What will be the speed of a wave in thej);xq7vm9tjga 4qa3b 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 under tension T. The speed of a wacgk g2lax/ii *u:e:f* ve 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 chanialggx/f2ek: i u: *c*ge in mass?

  A string of mass m and length L is under tensiznjmxbr;pno, 30+0owon T. The speed of a wave in the string is v. What will be the speed of a wave in the string if the tension is increased to;zoo+03n njp ,rwb0xm 2T?

  In seismology, the S wave is a transverse wave. s8g7)) iakjptwbv bli )5 87ql As an S wave travels through the Earth, the relative motion between the S wave and the part 7)si w5jt akbgvill)78bpq8 )icles is

  In seismology, the P wave is a longitudinal wave. As a P wave travels th)bo2v+tbo b/ w y+8qtv kfj1j/rough the Earth, the relative motion b+o/b2v8/kt jyf+wjo ) 1tvbq between the P wave and the particles is

  The intensity of a wb.kxk1nqmi /n/hnl+,ave is

  A wave pulse traveling to the right along a thin cord reaches a disconmor u) e: jo) wx8)gwn a7i2pfp.l(*rctinuity where the rope becomes thicker and heavier. What is the a7w2fnr8r : )gooie(. xpwc)mj*pl)uorientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amuzuel 461(n zaplitudes 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 timeun4(e 1z u6laz

  Two wave pulses pass each other on a st kkvv04hjl* c2a,mfy2 g6slr(ring. The one traveling toward the right has a l60ha fm (ygv2j*rvs k2ck ,l4positive 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, such as a string f; p8,c dsoe/gpixed at both ends, occurs when

  If one doubles the tensionzy/e)x bnk8ql 0dd s00 in a violin string, the fundamental frequency of that stq0lxe/sdyz8) 0d0kb nring will increase by a factor of

  What is the spring constant of a spring +v95wh7vm vn/cw:u y,l tlkbbg7 4(rdthat stretches 2.00 cm when a mass of 0.60rwgk u yvdb wbt(7m/ lh:47 ,5lvvnc9+0 kg is suspended from it?

  A mass is attached to a spring of spring consp5rj- ) +nxbvetant 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 e5jxnb p)+-vrequilibrium position when it is oscillating. What is the amplitude?

  A mass is attached to a spring of spring c7w l2cxa/te08f7ute( dvah.b onstant 60 N/m along a horizontal, frictionless surface. The spring is initially stretched dtc(u7/weh xe vaa7b. ftl802 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 a1cpvb: .* grfblong 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 p c.g prv:1*bfbosition when it is oscillating. What is the frequency of oscillation?

  A mass on a spring undergoes SHM. It goes through 10 complete oscillations ini wap9vurg :,,)bprt78(hx ll 5.0 s. awgul9v xi) ,b7tp,h:rl8rp( What is the period?

  A mass vibrates back and n6yxw*jg e 7n /a(, 7(hdfrm8pb1zqvhat g(7qforth from the free end of an ideal spring of spring constant 20 N/m with an am7(ry 7 ,hv(jf 6ng xd*7h tqamn wpegq(za81b/plitude 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 conedf:0 b/:rj jlstant 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 equilibriumr l /d0fbj:ej: position. What is the total energy of the system?

  A mass undergoes SHM with amplitude of 4 cm. The energy is 8.0 n we sto0 :(or-0feuzipyh:73J at this time. The mass is cut in half, and the system is again set in motion with amplitude 4.0 cm. W(:n 0wou t-:rf07 sheeyiz op3hat is the energy of the system now?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m alu(gk fm;f13ue ong a horizontal, frictionless surface. The object oscillates in;(uf u13kgef m simple 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 N/tlisi2 jx7awc*j-i;)ec-b doe6c )-k m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s ae;7i-d b-cj6 ct e k c*sjx-l2oiwia))t 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 of spri8-aher3kr3 j w7j7if 5 ue)ao2t5vtqf ng constant 5 o28 fe)t357rf5vhar3uj eqiwjat7k- 0 N/m and 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)a dg-l3:kv 3w3ruwoziy pl,2e0 ro6t spring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. We2 3,yok3)o uirlgz63dww0vr- :p talhat is the total mechanical energy of this system?

  A mass vibrates back and forth from the free end of an ideal spring ofyi(phy gl+ :-l spring constanhp-y:l+(yl git 20.0 N/m with an amplitude of 0.250 m. What is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring system is displaced 10 cm f,pdurk di1049k)s ; x:fkxkffrom its equilibrium position and released. A frequency of 4.0 Hz is observed. What frequency would be observed if the mass had been displaced only ; kkdffx d)xku:19f4i, rkps05.0 cm and then released?

  A 4.0-kg object is attached to a spring of spring cq 4 -x+s ;fs+isngqrr1onstant 10 N/m. The object is displacesqrqfn4+ -i1 ;sxr+sg d 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 s9o: v8 vt zzi+s5bmwj5pring of spring constant 10 N/m. The object is displaced by: vzs95z iw8o+mv5 tbj
5.1 cm from the equilibrium position and let go. What is the frequency of vibration?

  A 2.0-kg mass is hung frokc ;*e+ -5kkfhmp s*gom a spring of spring constant 18 N/m, displaced slightly from its equilibrium positio-m*p5ho ;kksec+gfk *n, and released. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequency of 1.27 Hz wheiuc 6s:60exw cn displaced a distance of 2.0 ciu6x6e wcs0c: m from equilibrium and released. What is the maximum velocity attained by the mass?

  Two masses, A and B, ar)qe 09fu*br upipt k(xq4zk 46e attached 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 doesqp6r*9u40ptkkx izuf e( b)q4 the maximum speed of A compare to the maximum speed of B?

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass stretches th(pzth.t 0 v-zie spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm dowtvz0p. (-z hitn and released from rest. Calculate the period of oscillation.

  A 0.30-kg mass is suspended on a spring. In y.: -d u5cp;b4o/u:iesimnzf equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 5s;-unioym cfbzdp4 e.i::u/cm down and released from rest. Calculate the total energy of the system.

  A 0.30-kg mass is suspended on a sprin.3bue58f 1 r4 mvbtncmg. 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 1bn48m5cmf. eb vr3turest. Write down its equation of motion.

  An object in simple harmonic motion obeys the fosj6lxj+3msuv;vlc+ s;oe 4br (v9i)+jh jfp /llowing position versus time equatio9/v r 6i+c bssj;vhxll p+ejsv 3 ouf(4j;j+m)n:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys t-o 1tpg2fpco3 he following position versus time equap3- op fcg1o2ttion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following position versus t(;c2cmb dh2x7tx kj. gime equkh7 gdbcx t. j2;m(x2cation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring exe2t ;lcj+r bve(x9 jci4cutes simple harmonic motion according rb;et4 j+29 (ciclxvj 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 wik0s, hyr9dmmyazs65 - th a force constant of 20.0 N/m oscillates on a horizontal, frictionless track. At t= 0, the mass is released from rest at x= 10.0 cm. (That is, the spring issz5my dk rhas0-, m9y6 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 frequency and eo5 c c9n+n2isperiod coni5sc n29+ eon Earth?

  A 3.00-kg pendulum is 28.84 m long. What is its o7j y4u*l2iw8+r s mdbr0y 6naperiod on Earth?

  A pendulum has a per 4*-5qu7tfeth jas.zy9k s-voiod of 2.0 s on Earth. What is its length?

  The pendulum of a grandfather clock is 1.0 m long.5icn 4hi+ 0e1qcg5 9okcx 7ldw What is its period on the Earth 5c0i9xdc4nciq +l1oew5g k7h?

  The pendulum of a grandfather clock is 1.0 63zgsqf l,)l;o g3phnm long. What is its period on the Moon whereglfz3qp;,n h36 s )glo the acceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of au2gjzwpg8 -u7 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 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 twugj 2-8u7 pgzo the string instead?

A simple pendulum consisting of a 20-g mass has initial angular displacetr f9 4pcc4g)4 fr;avument of 8.0e. It oscillates with a peric rcf4f;4g9r4uv ap)tod 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 gived/2gfzjfu +0 g/i.l j/kjd y -ft+r6 xewai2m(n time. The frequency of the wave is 120 Hz. What is th/w ffii/ ljdj0gj /f6m+gru.+-td2xak2(ze ye amplitude?

  Figure 11-2 is a "snapshoj3gcbwo9s: )6ar zeboy5k4 9gt" of a wave at a given time. The frequency of the wave is 120 Hz. Whc6boa9rz: s9) 3g g 5wj4kboyeat is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given t yrosfb,x f*7gk y*)wytg:)7gime. The frequency of the wave is 12w :fyg)g o*txyskg7 f7*y) rb,0 Hz. What is the wave speed?

  What is the frequency of a wave p hutqju:fj2p3h k1(9which has a period of 6.00 ms?

  What is the period of gc7fe:u:u /q ba wave with a frequency of 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz and ; eo k (gc4hmdjby:8*l0m/cib a wavelength of 3.*io(;bj g: h0cdbm48l kec/ym0 m?

  What is the velocity of a wave that has a db0 w gn-bsi6 hf 5,n7t362ruyt qs2ifwavelength of 3.0 m and a frequency of 12 ifrts5t2nh bybnq3w 6s ufd0 7i62,g-Hz?

  What is the frequency of a 2.5 m wave travelqpwk rl 5ydw0:k/ccds-j7)p:m )m )swing at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is under a 8 5kxvha2 y:ratension of 1350 N. What kaxvah2 5:8ry is the wave speed?

  A string of linear density 6.0 g/m is under a tension of 180 N. Whm4c 3tgobf3 .1yy:l yoat is the velocity of propagation of transverse waves along the str f1o34tg m yy:b.ylc3oing?

A wave whose wavelength is 0.500 m i 1ggym3qg rzq9)il.l e3i, g.js traveling down a 500 m long wire whose total mass isg9g. z)1.g3lrejql,3m gq iyi
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 string fix5f+0otlst: kx;c;e q red at both ends is 200 m/s. Which one ftxrl;eos; +:0 tq k5cof the following is not a resonant frequency of this string?

  If a guitar string has a fundamental frequency of 500 Hz, which one of m/nlf5moo ;k( the following frequencies can set/lmfo5o n;k(m the string into resonant vibration?

  A stretched string is observed to have four equal segments in a standing/ybs7r j3glmjoi6 5 l9 wave driven at a frequency of 480 Hz. What driving frequency will set up a standing bjo3rlj/95mg y7is 6l wave with five equal segments?

  A string, fixed at both ends, vibrates at a frequency of 12(gd ;/av 6zs +6iwo vb1ik7hpl Hz with a standing transverse wave pattern containing 3 loops. What frequency is needed if the standing wave pattern is to contain 4 lk wl(i diho6p1b/ avgv67zs+ ;oops?

  A string of linear density 1.5 g/m is under a tension of3)h*/ i bq9ywpvpy o4vj96vjy 20 N. What should its length be if its fundabyv/9vyp9vjpw 34) 6iq*ohjymental resonance frequency is 220 Hz?

  Find the first three harmonics of a string of linear mass density 2 a1lsfk,.k:6no pv h3l.00 g/m and length 0.600 m when it is subjectafv:sko, h .3lnpkl61 ed to tension of 50.0 N.

A string of length 2.5 m is fixed axjsh9ypkb xqd, 2k80 2t both ends. When the string vibrates at a frequency of 85 Hz, a standing wave with five loopx2j9,2ysxk 8k0hdp q bs 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.