The time for one cycle(5 j*.qo.ljqhzf36 oz xjuh9o of a periodic process is called the

  For a periodic process, the numy :9/fsjsy13 xf1uori o fd0t*ber of cycles per unit time is called the

  For vibrational motion, the maximum displacement from the equ5gnbng zl:d 4z--gi u,ilibrium point is calledbzn4ng i5gguz -l,-: d the

  A mass on a spring undergoes SHM. When the mass is at its maximum dc9rrv bytk-- 1th2fe .isplacement - -h2tcv1rryfbte k 9.from equilibrium, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass -k5g(kb**fjalcw( c/x5 v fu altgj 47passes through the equilibrium position, ixj(wfc-gb5ll 4 (5k/*t 7kuf*j vaagcts instantaneous velocity

  A mass on a spring undergoes SHM. When the mass is at maximum gsf)f87 z2i cbs6heu /displacement from equilibrium, its instantaneous accehffs/6gucz b8) 7s2ieleration

  A mass is attached to a vertical spring and bobs upqh2j+)s64huf 1vb)m ljmejog 6) wa.p and down between points A and B. Where is the mass locatejjs1a)o pb 6l) m4qw 2 .vme6gf+)ujhhd when its kinetic energy is a minimum?

  A mass is attached to a 4 )tx*whn fxxh1)l q,r3ug pw8vertical spring and bobs up and down between points A and B. Where is the mass located when its kinetic energy ixw )u4hwrp1tf n3,l)*xx8hgq s a maximum?

  A mass is attached to a vertical spring a4kpbql. 1 i0kl g.4imz1jf ,oand bobs up and down between points A and B. Where is the mass locat, li fl0..4m ozpj1bkg14kaqied when its potential energy is a minimum?

  A mass is attached to a verticaok ek(c; llv2obn43( zl spring and bobs up and down between points A and B. Where is the mass located when its potential energy is a maximbv (4lzeo2;kklnc 3( oum?

  Doubling only the amplitude of a vibrating mass-and-spring sys:)olz-hatj 5o s3d1nstem produces what effect on the system's mechanical-s)h1szo 5no: taj3dl energy?

  Doubling only the mass of a vibrating mass-and-spring system produces what effecr:- 1p rvz*oprt on the system's mechanicarp zr- r1*ov:pl energy?

  Doubling only the spring constant of a vibrating m mo4p.f(rx/m j1 y0al-gl8exwass-and-spring system produces what effect on the system's mechani xm w1lr(0 mxloea/y-f.4pj8gcal energy?

  A mass oscillates on the end of a spring, both on Earth and on thedtsiq )4p gm5; Moon. Where is the period the greatest m4d 5qg)s;tpi?

  Increasing the spring col;oky4ntv :9 tpd1: tpnstant k of a mass-and-spring system causes what kind of change in the resonant frequency of the system? (Assume no change inv;p4 :1ltony:t dktp9 the system's mass m.)

  Increasing the mass M of a mass-and-spring system causes what kind of c:btt dtb 1y -*ts6ud9hhange in the resonant frequency-ttdsd:b1 *utt9 6byh of the system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system causes what kind of chq ig (;r5s:gjk 86pwk)ayqsk(ange in the resonant frequency of the system? (Assume qk w:56skr(q s;a)(k8yigp gj 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 attache-wnlo:blt8+ pkozs (:d to a weightless string of length L. For this sysw8t-lbs+: n :(klpozo tem, when undergoing small oscillations

  When the mass of a simple pendulum is tripled, the time required for one comple/l(;e 3ew mfpvte vlpw(;mf / 3eevibration

  Both pendulum A and B are 3.0 m llh ez g-1w-.qs1(vxgm/g*t p(1kzqc long. The period of A is T. Pendulum A is twice as heavy as pendulum B. What is the period ofzg-.h1z1g qw1t/ *xs gpemcl (kq-(vl B?

  When the length of a simple wk,xfedg gl3 hb+*8, bby91s8v lld70j(myjtpendulum is tripled, the time for one complete vibration increases by a fafv,+ lg30b9jh7 ylwjl8ey(m1tk,xb b*d g ds8 ctor of

  What happens to a sim1 o+h(x*i gx9x) lacavple pendulum's frequency if both its length and mass are increax1h9)vga*(o ca+ i lxxsed?

  Simple pendulum A swll: jjah81k; qings back and forth at twice the frequency of simple pendulum B. l8kal j:j;h q1Which statement is correct?

  If you take a given pendulum to the Moon, where the ax4m17:*3yzzf xvme1x od 2 hprcceleration of gravity is less than on Earth, the resonant frequency of the pendulum willzre2d xxy1mof p1*x743hvz: m

  Curve A in Fig. 11-1 represvnrtb/ blogl /:r82k* ents

  Curve B in Fig. 11-1 represef) ptkcg.f:g *nts

  Curve C in Fig. 11-1 representvpq5dvu5u qu ou**9q ,s

  For a forced vibration, the ampl9 gh,jrk z/3nwg)jkz47ox4hp itude of vibration is found to depend on the

  In a wave, the maximum displacement of points of the wave from equilibri.xk8s n(rj h*e :brstj5u ::tqqqse;9um is calle(eu: ;9ss8rjn:bre*:q xtjqs5 kthq .d the wave's

  The distance between successive crrzu*bk pwu 9 44unzpr n89-ht)ests on a wave is called the wave's

  The number of crests of a 2.sl rr ah9sqjt ae*0)wave passing a point per unit time is called the wave')hr assa 9j.te2r*q0ls

  For a wave, the frequency times 8qqppay1 r 1yv gu5s-u87io (bthe wavelength is the wave's

  The frequency of a wave increases. What happa ycnh)o3;: ykens to the distance between successive crests if the speed remains3 )c;:koyahny constant?

  A wave moves on a string with wavelength l and frequency fv3qr0+-dx vxcz;0e g 1tyl b3k. A second wave on the same string has wavelength 2l and travels y1v0b0kt-cxv+ed l rq g3x;3 zwith the same velocity. What is the frequency of the second wave?

  Consider a traveling wave on a string of length L, mass M, an;j jchaer j0ek90ke0+ ;6begbd tension T. A standing wave is set up. Which of+baj keeg b0009 6rhe; kj;cje the following is true?

  A string of mass m and length L is under tension T. The sr,jyt*m . 8xgfe ass*)peed 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 change in length)tsr yx*em*.,safjg8?

  A string of mass m and length L is under j v4r-52itax wm--xgr tension T. The speed of a wave in the string is v. What will be the speed of a wave in the striix -x 2rr5v4at-jgm-w ng 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 l/7hf6 mnmfz gd5dq7)a wave in the string is v. What will be the speed of a wave in the string if the tension is increadfz f/)l6nm5hg qm 77dsed to 2T?

  In seismology, the S w h-o5eq9s2baqgq yq:a gj (5,-d0zl bvave is a transverse wave. As an S wave travels through the Eartq(hqq 05d 5gb -o evlg2,sz9ajby-a:qh, the relative motion between the S wave and the particles is

  In seismology, the P wave is a longitudinal wave. As a P wave trav* j uw6a mwc39wp/zorfc.) g1mp:pl8vels through the Earth, the relative prwpwl9cvz*6 13f.)g om:pwu j 8 /mcamotion between the P wave and the particles is

  The intensity of a wave1o a:n 1ayyst9o*b vl*t) 0mt pd9te.f is

  A wave pulse traveling to the right along ah 9tsxr.26fn i thin cord reaches a discontinuity where the rope becomes thicker and heavier. What is the orihxs62t.fi r9nentation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each other on a stri70w4tobt5 rso6plbt 6ng, 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 samesbr7 o0p4t6 wotblt65 time

  Two wave pulses pass each other on a string. The one u9m jdqmxe+bz; 36-dvtraveling toward the right has a positive amplitude, while the one traveling toward the left has an equal amplitude in the neeu+vjdb;6x z9mq-m3 d gative 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 bo3gal04reqoc; owlef/;p44uy th ends, occurs when

  If one doubles the tension in a violin string, the fundamental freqcwnu l pnldhte lv7av9 j*30ye 69)9l.uency of that st)wpv990y* u.lh e l ln7ldtc96 3evjnaring will increase by a factor of

  What is the spring constant of a spring that stretches 2.00 cm when a mass o /jeb;f5ix q9of 0.6 i x;qof5j/9be00 kg is suspended from it?

  A mass is attached to a spring of spring constant 60 N/m along a hovkis4*axnyqcm 73vbj(/ 9 (ojht5t 7irizontal, 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 wh/4j(mh9it 7obvx(n5 7kqja *vcs3it yen it is oscillating. What is the amplitude?

  A mass is attached to a spri4ff 1+en5 mvu grh;8xang 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 tuav4xg1fr;h5f 8 +m enhe 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 .4e 5okp.ri)d zxvol)a spring of spring constant 60 N/m along a horizontal, frictionlezl)5p4x)ero iv ok .d.ss 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. What is the frequency of oscillation?

  A mass on a spring undergoes SHM. It goes through 10 complete oscillations /ew7+ q8mnerhtb+a:f in 5.0 s. What is the periodwnha8+/7qmr bf e:t+e?

  A mass vibrates back and forth from the free end of an ide amf5wyr+f c qqdb6524al spring of spring constant 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 pq+rfc 52awy6dq4b5 mf osition?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m alo zeu.,u-)n3/wyylq p i/+*kg omd n*long a horizontal, frictionless surface. The obje.,) oeiu y d /ygnz-/uwlq*m p3+no*lkct 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 J at g(z8 bvaa1d w6u z1f 4we:+stathis time. The mass is cut in half, and the system+abd84 eazwgfw(at:6svu 1 z1 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/m along a horizoajyf 1bjvj:)w 5l c2va52evqv o3t h.8ntal, 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 amplitudc5ajyqa :jjlt vf2 vo)13w52bv8hv e.e of vibration?

  A 0.50-kg mass is atta84g0kas wakiqr -k(. ached to a spring of spring constant 20 N/m along a horizontal, f i4kr-ag8wska.0q(ka rictionless 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 springf94 n j9zo6cnv of spring constant 50 N/m and set into simple har9f 6j 4zn9ncvomonic 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 constan3ix3i jf fe.dl,3c4b b)mph(e t 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the total mechanical energy of m.dphfb33jb3)xl (fci4ee,i this system?

  A mass vibrates back and for .j;6l-ke ybckth 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 maximum kinetic energy of this vibrating mas.6c-k l; byjeks?

  The mass of a mass-and-spring system is displace 4q/e5zg/x .nit: pftqd 10 cm from its equilibrium position agqit/pn/f :q et4x.z5nd released. 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 attach v68-;at (, 9ay5qp nsvvahhjof8jf *wed to a spring of spring constant 10 N/m. The object is displaced bfo5a;9pnaj6 8- f*vtjhwy,8 v( hsavqy
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 spri u:h;2u-ro vrqng of spring constant 10 N/m. The object is displao :v;2r-h quurced 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 s2 3hxx 5aqnnc4lightly from its equilibrium position, and released. What is th4x 2anx cnq53he frequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequefs w0wyjl6zwtw 6x6rg 7b52 -sncy of 1.27 Hz when displaced a distance of 2.0 cm from eql j-fs5r 7w02x66ytz6gwww bsuilibrium and released. What is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to different springs. Mass A vibray,r)zz kvzanvgt/ci3 u+qn9e.6mg*s5f-q d) tes 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 s+9-y,r zsce5.aznztdkq)6uq mg)v * 3nf /gvipeed of A compare to the maximum speed of B?

  A 0.30-kg mass is suspended on a spring. In equi w)j7h bpscv/7m;fld 5librium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and releaw7bdjmp;shv/5) f 7lcsed from rest. Calculate the period of oscillation.

  A 0.30-kg mass is suspended on a spring. In equilibrium tmx4 6iv1wvrr00p7q r the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1r 0pr vmv4x1 t67wiqr0.0 cm down and released from rest. Calculate the total energy of the system.

  A 0.30-kg mass is suspended on a spring. I4j 6jbcz:x6 qse*j2a qn equilibrium the mass stretches the spring j66ejj xq:sqz4* c2ba2.0 cm downward. The mass is then pulled an additional 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 posiu j+army 8v(h(rxo 23je 78ozition versus time equation:xrm7(283hvoe+oz u yr8 ajij (
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic mot09knojo 3*)o6y zr9f bb/qd viion obeys the following position versus time equationokziqy3)robb / *fo n0j699vd:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following poss(ix/eom)w c6ition versus time equatio)x(m ei c6o/swn:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple harmonic motion acco6u lla7j juzza3;3 0dqrding to the equ0u7zja33qd 6;uzal j lation $y = 0.50 \; \sin (18\pi \times t)$ where y is in meters and t is seconds. What is the period of vibration?

A 1.5-kg mass attached to spring with :-m m6ezgaz2mv g:ew(8.dk4 8 wwbrzk a force constant of 20.0 N/m oscillates on a horizontal, frictionless track. At t= 0, :rb 6 k(zz-4wev8:egdw8kw mgz2a m m.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. (a) What avzuu 4bf5q ok(:+4+jzcd5qyp re its frequency and pe+ p yjvdc:4zobu5qu(+fq4z5kriod on Earth?

  A 3.00-kg pendulum is 28.84 m long. What is itjewca 32y1/l,+j 5i0vyz g kcps period on Earth?

  A pendulum has a period of 2.0 s on Earth. What is its lengthy igu)y9+p:75vvz3qn6 m acz c?

  The pendulum of a grandfather clock is 1.0 m long. What is its pe1 fc w+80l2/w9jsjzacy:t7r ndsa8jo riod on the Eal+wjn/rda8jt29wf a z8c:c sy os7j10rth?

  The pendulum of a grandfather clock is 1.0pwf 3etv4mappm*3a(v d ,q k:* m long. What is its period on the Moon where the acceleration :pd * eqp3v favmm4(p3a, ktw*due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attached tol) x ,nqiyii+py ve4m3u/e8r6 a massless string. When the mass iyvu/xli 6r3 4p n8+qyiie,m)e s 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 to the string instead?

A simple pendulum consisting of a 20-g mass b 62yq pyv: rc siu4b.35se tqz4- bot:2lesb2has initial angular displacement of 8.0e. It oscillates with asbs yrb2q:o2 uc.bt ylse z p-ei6tb32445vq: 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" o cupx8 06f +n4qify,nuf a wave at a given time. The frequency of the wav64 ipu ,f+y8qn0cun fxe is 120 Hz. What is the amplitude?

  Figure 11-2 is a "snapshot" of a wavry139e ,pnscx3ugju 8w ot;+he at a given time. The frequency of the wave is 120 Hz. What is ts1t+w;ugc 9 3 8njhou,yrpx3ehe wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency of thvq4b73 c,:yb unzy)cjd3h sb1-dagn 7e wave in-cyq:,dd3)71n 7 hcbbv4uy 3 b gzjass 120 Hz. What is the wave speed?

  What is the frequency of a wave which has a period of 6.00 ms wk*5u o:uebk5?

  What is the period of a wave wit 1ku(wv19tnsy h a frequency of 1500 Hz?

  What is the wave speed if a ;s xsfbws 2+oj.ztgq2xd46*rwave has a frequency of 12 Hz and a wavelength of 3.z+t;xqgrjfx dbs4 s.o 62*2sw0 m?

  What is the velocity of a wave that has a wavelength of 3.0 m p:cu1dq-l )mtrzg)8 uv5 b4zvand a frequency of 12mvzgl-c ubt4) qv5dz: 8u r1p) Hz?

  What is the frequency of aygu f tji- 62gekws0/3 2.5 m wave traveling at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is under a tension of *)rz :euu k) 0r-hzplx1350 N. What is the wk*u xrz)ulz)h :epr0-ave speed?

  A string of linear density 6.0 g/m is under a tensi3bdyzq 3xxd2w0jh*ns .opi pc1w / 0c6on of 180 N. What is the velocity of propaz sd bpn6dxwiq2/.1woy 3pcj0c3x0h* gation of transverse waves along the string?

A wave whose wavelength is 0.500 m is traveling 2kxzqxs; pf rv1do+0*of8b w.down a 500 m long wire whose total mass off* .qpdwsro v0+x81bx; 2z kis
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 o35q iwvk: mm27v ho*lwave on a 2.0-m long string fixed at both ends is 200 m/s. Which one of the following is not a resonant frequency of this stringmi5v*o3kl omv h:7qw2 ?

  If a guitar string has a fundamental frequenp;+d i+u1ijh5ewba; lcy of 500 Hz, which one of the following frequencies can set the string iwiheu++ 1;pi ;la 5jdbnto resonant vibration?

  A stretched string is observed to have four equal segments in a standing wavek))jyl v3 /d- w8mpxhs driven at a frequency of 480 Hz. What drivim- l sk xp3jh)wdy)8/vng frequency will set up a standing wave with five equal segments?

  A string, fixed at both ends, vibrates at a frequency of 1g4bf+yq1 kfe :lx4d*g2bve /x2 Hz with a standing transverse wave pattern containing 3 loops. What frequency is nxq+fx14efgg :2v4* ble/dbykeeded if the standing wave pattern is to contain 4 loops?

  A string of linear density 1+mt5grn1k0ix.6c6b hkstgo ;.5 g/m is under a tension of 20 N. What should its length be if its fundamental x gr.hk66 t;5cko0bsg itn+1mresonance frequency is 220 Hz?

  Find the first three harmonics of a string of linear mass density 2.00 lyjbfg. vy)m5u+db q 3-9rhp3 g/m and length 0.600 m when it is subjected to tensiorl bbvqd5g3puym y)jf+- .3h9n of 50.0 N.

A string of length 2.5 m is fi1n8a w:kp)t lpxed at both ends. When the string vibrates at a frequency of 85 Hz, a standing wave with five lwltp 81: )aknpoops 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.