The time for one cycle of a periodic proces, bsb8ck yd* u7f7*(tjbma8xps is called the

  For a periodic process, the number of cycles per unit time is called t5jc9x w- fb)qkhe

  For vibrational motion, the ul jxb ) igyvxm :o.:t)q58z9jq:hdd2maximum displacement from the equilibrium point is callejdyq.dtx : x25z:)iu8mhjq o9b )l :gvd the

  A mass on a spring underv k n0/mt t0;edls:)ecgoes SHM. When the mass is at its maximum displacement from equilibrium, tl) m0de;/tc skev:0n its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass tmh: rj63y4a upasses through the equilibrium position, its instantanetm:3j r4hauy 6ous velocity

  A mass on a spring undergoes SHM. When the mass is at maximum displacement dwxaw.634 0lxek* mgpvi p 5j6from eq5 jwiv.mxw6gpd0 43x* pka6eluilibrium, its instantaneous acceleration

  A mass is attached to a vertical spring and bobs upt(we i+8whrrb7 )q :wd and down between points A and B. Where is the mass located whrww) dwrbi 7t+ q:eh(8en its kinetic energy is a minimum?

  A mass is attached to a vertical spring and bobdn-7p9 xgbtww4ze5 svjw v5-*s up and down between points A and B. Where is the mass located when its kinetic energy is a maximu4jx -p5z- twvbged7w*nw 5vs9m?

  A mass is attached to a verticep.x-6 wi2ra h,myav6 al spring and bobs up and down between points A and B. Where is the mass located when its potential w6xi a,ema-2 r.hpv6yenergy is a minimum?

  A mass is attached to a vertical spring and bobs up and down b(krwd 5; h9fsupq .45(nj3j dtwcdz-vetween points A and Bp9kd nujv fjq wzts c(5d(5d3;hw-r. 4. Where is the mass located when its potential energy is a maximum?

  Doubling only the amplitul) d vwfq)6+bide of a vibrating mass-and-spring system produces what effect on the syste dw)fi+vqbl 6)m's mechanical energy?

  Doubling only the mass of a vibrating mass-and-spring system pr*h l irxh(fhe ,nss/)9gj:u-hoduces what effect on thesr ilh:js*hhfuexg/,- 9 )(hn system's mechanical energy?

  Doubling only the spring constant of a vibratin(2nq*v *hh)s 3;6 :gou 7ofetni gpzbbg mass-and-spring system produces what effect on the system's mechanical eh ;geq o3n bt*i f:zgbuhs76(2p*onv)nergy?

  A mass oscillates on the end of a spring, both on Earth and on the Moon. py 3:1eyvd zg,i,s5;6yaxqkl Where is, :6;zyidky35,laqvxgesp1y the period the greatest?

  Increasing the spring constant k of a mass-and-spring system causes what kind op d2mg)l,nza9 f change in the resonant frequency of the system? (Assume no change in the sysd2pl ng) z,9amtem's mass m.)

  Increasing the mass M of aqj0a.go6tp6 u-e pdc:qf w0e7 mass-and-spring system causes what kind of change in the resonant frequency of the system? (Assume no change in the system's spring conoqteqd0p06ef pj6:cu . w7ag-stant k.)

  Increasing the amplitude of a mass-and-spriny+mac7ab( c h9t ks*8yg system causes what kind of change in the resonant frequency of the system? (Assume no other changes intay+8 hc7a*kmbcsy 9( 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 weightleg*f;.xr ,1.dw) nw,tchxv qkm mju85 qss string of length L. For this system, when ujgr. x )m1u8mhcx;q,t dk,*wfv w5.nqndergoing small oscillations

  When the mass of a simple pendulum is trbnw*z z6 km4d.vv 2y)zipled, the time required for one complete vibratizbk v42m* ndywzz 6).von

  Both pendulum A and B are 3.0 m long. The period of A i d:s) y*t ebu, )yh:mq-mh,cgrs T. Pendulum A is twice as heavy as pcq ht,r:)ysmemd: bu-,* y)gh endulum B. What is the period of B?

  When the length of a simple pendulum is tripled, the time for one complete o ) fj ,cgcwzugo+e:x/8w:0nlfsi)m4vibration iinco: w)+8j4,ge: w )/lugxzof 0 mcsfncreases by a factor of

  What happens to a simple pendulum's frequency if both g zgedk0pl;o:6(6 ithits length and mass are increag(6 dh tk6p olig0:;zesed?

  Simple pendulum A swings back and forth at twice the frequency cc k+ 6s+3hqg:qyxp r:of simple pendulum B. Which stspc:cg k6 y 3hxr+q+q:atement is correct?

  If you take a given pendulum to the Moonmz/ jli fq(*.q, where the acceleration of gravity is less than on Earth, the res imzql. (jf*q/onant frequency of the pendulum will

  Curve A in Fig. 11-1 rep lv;am x1g) h2y uzc7sr3p/msy4i+2ynresents

  Curve B in Fig. 11-1 r9y g.a d1q6thbepresents

  Curve C in Fig. 11-1 repr(k9p n1haf-pc(sb 6u pesents

  For a forced vibration, the amplitude of vibration is found touu*amf;px2a39k r c 23mppeq2 depend on the

  In a wave, the maximum displacement of points of the wave from equilif 8 lq.wv 8c3oyko),zlbrium is called the , lvcokzfl. )38q8 ywowave's

  The distance between successive crests on a wave isoedcw;hzjf6o 2 0qucszxb5qd u9+ /9: called the wave's

  The number of crests of a wave passing a point e846ke ;bopzc0 dkm h8per unit time is called the wave'8 mh 68e k0cpkoe4;bdzs

  For a wave, the frequency times the wavelength is the wave'srwgq)qd3 w 0j5

  The frequency of a wave increases. What haprmer /21fto2 g u-c3q o+eawn)pens to the distance between successi2tonw ea+r-e3g1)fcmo q r/u2ve crests if the speed remains constant?

  A wave moves on a string with wavelength l and frequency f. A secona1fbu 0 zt+u)dd wave on the same string has wavelength 2l and travels wf 0bu t+uzd1)aith the same velocity. What is the frequency of the second wave?

  Consider a traveling wave on a string of 9iqv(m(gba, o length L, mass M, and tension T. A standing wave is set up. Which of the following ((oa q9m,i bvgis true?

  A string of mass m and length L is under tension T. The qw-84p zyon, ispeed of a wave in the string i4- pny 8izq,ows 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 length?

  A string of mass m and length L 5 hayx 4ta3uk3is under tension T. The speed of a wave in the strua5 ty3akh x43ing is v. What 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 len mt -z8h72me*bzbz ) xb9wex,ygth 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 tension y-h z)*z9m bx bxme8,wte7bz2 is increased to 2T?

  In seismology, the S wave is a transverse wave. As an S wave tes6h;0dwcooyv k:lk g6 )56neravels through the Earth, the relative motion o w:;ds c) 66ekgy lnvhk50oe6between the S wave and the particles is

  In seismology, the P wave is a longitudinal w77m cdykyb4 s2ave. As a P wave travels through the Earth, the relative motio42dybc7my 7skn between the P wave and the particles is

  The intensity of a waf5udxgij( 4q qe;15x yve is

  A wave pulse traveling to the right along a thin cordnuufp:o;vadx k7 .,qis 834xp reaches a discontinuity where thaspio.upk7 3 x8 xnud: f;qv,4e rope becomes thicker and heavier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positivepw5/ c-0 ok) 68bopybpswmy j9 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 thejpm 8-b k0) wpscy yo96wpo/b5 same region of space at the same time

  Two wave pulses pass each other on hgx(z/a. wf1xa string. The one traveling toward the right has a positive amplitude, wwf xhg/ .a1z(xhile 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 fixed at both zw74 rj84gjls vq bh73ends, occurs when

  If one doubles the tension in a violin string, the fundame5niov5q)-ua 5uux qbj6k ,)zb )*ykbzntal frequency of that string wiu z)u5)xk) ub6o 55jbakbvqyiqn -,*zll increase by a factor of

  What is the spring constant of a spring; fo p w.voh41 nj(9nwfz(i;nt that stretches 2.00 cm when a mass of 0.600 oiown(p.4nfh;(;fj tz9vw1n kg is suspended from it?

  A mass is attached to a springvm md8by2d;j9 nzv6xqh7n4y * 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 massn v4z q9*xddh7 yj8mbmvyn;26 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 spring constant 60 N/mp li4j0*y9xb h along a horizontal, frictionless surface. The spring is initially stretched by a forcey4h j9 *bxpi0l 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 spzvy3fj,yd +x 0ylw67c d h-h,vring of spring constant 60 N/m along a horizontal, frictionless surface. yx hd 3+jcw0fdl7-vy,zvy ,h6The 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 frequency of oscillation?

  A mass on a spring undergoes SHM. It goes through 10 complete oscilnhcxn /2:+ h1rg z*tyyu ab2+slations in 5.0 s. What is the perah yn+ /uygzsxb:*c2+h rt 1n2iod?

  A mass vibrates back and forth f7)fnsdxpq;m3m 8o j x(6wj et yw,gi83rom 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 vibrx8 w ,deimjfs(3px3;6mt7gyj8 wqn o)ating mass when it is 0.30 m from its equilibrium position?

  A 0.50-kg mass is attached to a spring of spring constaa,gu(ievulxrgzz2 e+5*f)n 2nt 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 positionu2evze)x+nf5u,z2 g (lgi a* r. What is the total energy of the system?

  A mass undergoes SHM witjno ry8h5k/q3h amplitude of 4 cm. The energy is 8.0 J at this time. h5jnr83/ kqy o 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 system now?

  A 0.50-kg mass is attached to a spring of spring co qbge y7ym3x(pf/ 5+lmn9cj5znstant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple hbg/c j(+y5zy5x qmef 7l9m3nparmonic 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 cnj+ )*7fc8cjp 5s2huxwjv6vty, 1aiponstant 20 N/m along a horizontal,hxc1suw5f+i cpa768vjy vjpt ,n)2*j frictionless 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 spring of se8jdvg7j(je,szc8f/x+ (b lipring constant 50 N/m and set into simple harf8(bj ge+s7l(z8djxi v/ e,cjmonic 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 spring coy/xxv 8ybp6di*e5 f2anstant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What*d8ibx a5 62vyp/y xfe is the total mechanical energy of this system?

  A mass vibrates back anup21czx5m s:z j/:px tg:m ai4d forth from the free end of an ideal spring of spring constant 20.0 N/m with an amplitude of 0.250 m. What is the mxjsx/i5 :c zt:z:4umpg1 p m2aaximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring system is displaced 10 cm v bqj5 g w(9(,a*nvvdxck2k 3gfrom its equilibrium position and released. A frequency of 4.0 Hz is observed. What frequency would be observed if the mass ha5 g,xcqj b(gdvk* 2kw9vv3n(ad been displaced only 5.0 cm and then released?

  A 4.0-kg object is attached to a spring of spring constanih 05p/g7 bhk un0sxl9t 10 N/m. The object is displace9hlk/0h b ng px7sui50d 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 i)6i :k i.maetqs displaced 6itai mek.): qby
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 sprin jipy hss003*4,xzvjpg constant 18 N/m, displaced slightly from its equilibrium position, and released. What30y4j,i sp*z0pv sj hx is the frequency of its vibration?

  A mass is attached to a spring. It oscillatesn8 zrv)c3;nj f at a frequency of 1.27 Hz when disp;z) jv3rf cn8nlaced a distance of 2.0 cm from equilibrium and released. What is the maximum velocity attained by the mass?

  Two masses, A and B, are attached totc3 rw pvs2n/5 different springs. Mass A vibrates with amplvtprc 25w n3/situde 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 compare to the maximum speed of B?

  A 0.30-kg mass is suspended on a spring. In equilibrium the m)jl.hi s rd0p8ass stretches the spring 2.0 cm downward. The mass is th 0jidrl p)sh.8en pulled 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 equilibrium the mass stretches t)y ): x v9vg r(o3ov-h-ksklbehe spring 2.0 cm downward. The mass is then pul vk-voslx):vh -b(9y ) grkeo3led 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. Inw:*vij*t 6b l tm3mjefqak (.- equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an aqa-m3 . e:bt *kvmtljwi*f (j6dditional 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 tifrmrr9j *mg upb3/0nq)(1/bn /tloag me equa/(nj r9gmbtqgrrp l* o/u/m)n13bf 0ation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following position versus timmt3fs.ks y*u9hjr6 h (e equays6m.3*hfhs u9 kr(tjtion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonb82l hulnyt 33*nu h5iic motion obeys the following position versus time equationb8yh3h5*2 ult3lniu n:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of q ysx8+w :ica(myz;/5sc2bw qa spring executes simple harmonic motion according /si;ba q s8cqz5 y(:+cxyw2wm 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 wit1q y:pich,o3 bh a force constant of 20.0 N/m oscillates on a horizontal, frictionless track. At t= 0, the mass is released from r3pco: hi1qb y,est 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 cx .j 5q2v+z+om sutd-its frequency and period on Earth+ d2vu+qxtco 5.- zsjm?

  A 3.00-kg pendulum is 28.84 m long. What is its period on Earth?41k*npw7 bxvpl 4/dc tc6ihf 3

  A pendulum has a period of 2.0 s on Earth. Wmbzze msr k*:5w; w3z0amafrb30cd05 hat is its length?

  The pendulum of a grandfather clock is 1.0 m long.ex3) -h u)xlah What is its period on the Earh heux3x-la ))th?

  The pendulum of a grandfathl fyxc6j64(vev tsy 70er clock is 1.0 m long. What is its period on the Moon where the acceleratstlf6j (y ecy06vx7v4ion due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attardir9 kdv9,qap3/ r n .(ztq/pched 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 z.q3nak r9r9dirptv(p/, qd/sphere) had been attached to the string instead?

A simple pendulum consisting of a 20-g mass has initial angular displacement of f) / x yaio)ftd2+up)a 8.0e. It oscillates with a period))o+ faayudf2/xpt) i 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 wac;pd yaywq9mf9)1 h1jve is 120 Hz. What is the yqc9; 1) ydfjma9p1w hamplitude?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequen4o4*yh mh (c(,8 c)7 ,x3vnwffgyy e.zitdulwcy of the wave is 120 Hz. What is the .wly vuw4fxc4nh3 7t ,yf( ecd ( )zom*gi,8hywavelength?

  Figure 11-2 is a "snapshot" of a wavexhl c:5p -e)xbi/ e zive7.(bz at a given time. The frequency of the wave is 120 Hz. What is thxz7e e)c -h5:v(x.elb/ibp ize wave speed?

  What is the frequency of a wave which has a perikf :4uxe4u/;vb woyn ,6zzb iuc)r 8(pod of 6.00 ms?

  What is the period of a wzc/mi 1 k1;rv z6syp8uave with a frequency of 1500 Hz?

  What is the wave speed if a weinfwam5aa-a4 leu 2 ,h(2hqr:c/ dv6 ave has a frequency of 12 Hz and a wavelength of 3.: 5 mh-iawrc e(nu, q4e/ v6a2af2hlda0 m?

  What is the velocity of a wave that has a wavelength of 3.0 m and a rki1( 3sxkzecpp3 .oy-,;ay j frequency of 12 Hz? z-op3 yycrk(a;3xp,sj ei.k1

  What is the frequency of a 2.5 osc kj1 4yao20 *v.rhym wave traveling at 1400 m/s?

  A piano string of linear masyp w*-ld h1kmjdv z8*9s density 0.0050 kg/m is under a tension of 1350 N. What is the wavzv -9*m d*18k pylwjdhe speed?

  A string of linear density 6.0 g/m is under me )vfwca;0d7a tension of 180 N. What is the velocity w0va em;d7c f)of propagation of transverse waves along the string?

A wave whose wavelength is 0.500 m is traab6xo2wy 5mbr3e4 4ea veling down a 500 m long wire whose total ma4o23baar45bm6 eeywxss 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 transversenp1qdbj jk,52 wave on a 2.0-m long string fixed at both ends is 200 m/s. Which one of the pq ,k2d 1jbj5nfollowing is not a resonant frequency of this string?

  If a guitar string has a fundamental frequ uy+xyme 3:w)kency of 500 Hz, which one of the following frequy :u3+m x)ewykencies can set the string into resonant vibration?

  A stretched string is observed to have four equal segments in a st/v tk zm y:w/+r9k7qvvh.plqzg 7 -t-xanding wave driven at a frequency of 480 Hz. What driving frequency will se 7-vm/w y/vx v 9qt-kg7:qzk+.hrlztpt up a standing wave with five equal segments?

  A string, fixed at both ends, vibrates at a frmrc.j2i -nf,ze 0ki; uequency of 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency is neefrie2,0.uc nki ;zm -jded if the standing wave pattern is to contain 4 loops?

  A string of linear density ;mb b2akwial( .x w n3(d;*bogy8n (xy1.5 g/m is under a tension of 20 N. What should its length be if its fundamental resonancdn 2*liy8 m(w ;;o3nkaw axb.(b(y bgxe frequency is 220 Hz?

  Find the first three harmonics o s-dr)j x8z9turm9r;y f a string of linear mass density 2.00 g/m and length 0.600 m when it is subjected to tension oyd 9m- ;zurr8j r)tsx9f 50.0 N.

A string of length 2.5 m is fixedf c.p2*ds xj/k at both ends. When the string vibrates at a frequency of 85 Hz, a standing wave with fijx 2d.kf*p/c sve 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.