The time for one cyclmz* lq.z icl8qs nju .*miv6.z;kfy+;e of a periodic process is called the

  For a periodic process, the 80lgor8) cjfvnumber of cycles per unit time is called the

  For vibrational motion, the maximum dis0*hhlwihfx/ym-iux - k6: ;w og9g(jyplacement from the equilibrium point is calle*xwgo9ui;(0h6xj/fhy-y hg-wl :kmi d the

  A mass on a spring undergoes SHM. When the mass is at its maximum dip1q ziox8+ae0v +( dyytv6y5 ssplacement from equilibrium, its instantaneous vq10+z py v+at6v od5x eysy8(ielocity

  A mass on a spring undergoes SHM. When the m:2dyi)kv f; 0y h33:scam ycfzass passes through the equilibrium position:y hs2z0 m3cdvi:k3;afcyy)f , its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass is at maximum displacem-q8axt, -lkllent from equilibri kl,lxltq 8-a-um, its instantaneous acceleration

  A mass is attached to a vertical spring and bobs up and down between pointpdd9 sy(*ng m)s A and B. Wgds)9my pd n(*here is the mass located when its kinetic energy is a minimum?

  A mass is attached to a verticc cu 99i)xq6vkoqtd ho n *02ru5f+b.ial spring and bobs up and down between points A and B. Where is the mass located when its kinetic eneu* x vnu9oo.drcckh+96 it2)qf0q5 ibrgy is a maximum?

  A mass is attached to a vertical spring and bobs up and down between points A an di/mjo2hwf,c40 q7gcd B. Where is the mass locate2dg7o0wcm ch4j,f iq/ d when its potential energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down between points A .a2t pxo (( c.pxy7 fp2+byxpnij4j0sand B. Where is the mass located when its potential energs ppox(2.jyfajxi2b( y.p7+40pctxn y is a maximum?

  Doubling only the amplitude of a vibrating mass-and-spring sf.e02u prm s4jystem produces what effect on the system's mechaniceuf4s2.r 0pmjal energy?

  Doubling only the mass of a vibrating mass-and-sprhp,u x2.fl 2aping system produces what effect on2xap h plf,2u. the system's mechanical energy?

  Doubling only the spring constant of a vibrating mass-and-spring system pro u+p)5w5yanli5h ka0qduces what eyl05n5auhp aq+)wi k 5ffect on the system's mechanical energy?

  A mass oscillates on the end of a spring, both on +/3g;y3nhpr 0z9f tjvsxzva,Earth and on the Moon. Where is the period;v,h93xzs/v30f+ a jynzp tgr the greatest?

  Increasing the spring consta-bsomm3 .ut/1 d e.opant k of a mass-and-spring system causes what kind of change in the resonant frequency of the system? (Assume no chang mo-eu/ mpodbt.a3s.1e in the system's mass m.)

  Increasing the mass M vp b8zqpyg8fts+::a-b/v9h q;k u4nh of a mass-and-spring system causes what kind of change in the resonant frequency of the system? (Assume no change in the system's springh b8 skz/:bqn;pf9-y u+8 :tgpqvah4v constant k.)

  Increasing the amplitud lq* :r1i z;)tbi f;sk9lvnsw2e of a mass-and-spring system causes what kind of change in the resonant s:l i)9vnl2;zb 1 twk;qris f*frequency 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 5e ob zjaz51wp+8 ysk6 .xae:lmass M attached to a weightless string of length L. For this system, when undergoing small ox j8 elp. 5z1azb+ea56 okysw:scillations

  When the mass of a sim ai* qa1tqf;wz 3kr.a)ple pendulum is tripled, the time required for one complete vibration a;.1a awk*z )qq3fitr

  Both pendulum A and B are 3.0 m long. The period of A is T. Pendu*/za, hnk8jb0hw om)m lum A is twice as heavy as pendulum B. What is the period of mhj m/ )k *zwhoa8bn,0B?

  When the length of a simple pendulum is tripled,t1 +vu7r8 nov.k+gyc r the time for one complete vibration increases by a fantkrv 8 +. 71ugor+yvcctor of

  What happens to a simple pendulum's fre.ewfipfbs4ea, 6,( xkquency if both its length and mass are inxa ( kbfeisewf 6,4,.pcreased?

  Simple pendulum A swings back and forth at tws0lpplpxw0 9x, 4k(9,o f fixzice the frequency of simple penduluml , 4skflpi09f(xwp90 z, pxxo B. Which statement is correct?

  If you take a given pendulum to the Moonzyt tbvwu.9c pb35+p- , where the acceleration of gravity is less than on Eart+cv py tbw-bu53.9pzth, the resonant frequency of the pendulum will

  Curve A in Fig. 11-1 remo4h6z1;es c8m nd.s s/ien(q presents

  Curve B in Fig. 11-1 repre .*fl, 4rrwlqcsents

  Curve C in Fig. 11-1 represeicy x900jpi(iu(tg)dx o 6if/nts

  For a forced vibration, the amplitude of vibration is found y.ydu 8i*fs8 cto depend on the

  In a wave, the maximum displacement of points of the wave from equilib wg16i0tw y cf48nc/zd ur//rcrium is called th//6n8 y 1u/czirf4tcwdgrc0 we wave's

  The distance between successive crests on 9f8qt w,jx 0mza wave is called the wave's

  The number of crests of aj4v0xg l1ao nb3mk +k/ wave passing a point per unit time is called the wave'/ lj4+gkok1 an vb03mxs

  For a wave, the frequency times the wavelength is the w2v savzz6u z8)ave's

  The frequency of a wave increases. What happex6kq lswhh/b599n w c5ns to the distance between successive crests if the s9l9knxh wbs h5cw5/q6 peed remains constant?

  A wave moves on a string with wavelength l and frequency f. A second ixcnq5z./lfdtmz 2 mm,c1u (xe; :bn/wave on the same string has wavelength 2(nt.ciqmlm u zemd f/2x/,bxn1c;z:5l and travels with the same velocity. What is the frequency of the second wave?

  Consider a traveling wave on a string of length L, mass Mchdp;69c8t n e, and tension T. A standing8; hnp69dctce wave is set up. Which of the following is true?

  A string of mass m and length L is under tension T. The speed of a wave in thee8jzdb0 3 rp.nm87 2efcz(zyz stzrmezj2(.bc3nf 8yz0d 7pez8 ring 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?

  A string of mass m and length L is under tension T. The speed of a wavevp(sg38or/ zb in the string is v. What will be the speed 3 (vrzo8sp/bg of a wave in the string if the length is increased to 2L, with no change in mass?

  A string of mass m an0af fjd3.puf1 d length L is under tension T. The speed of a wave in the string is v. What will be the spee0af1j.3u dfpfd of a wave in the string if the tension is increased to 2T?

  In seismology, the S wave is a transverse wave. As an S wave travels throu0d74pk+lmi )p nha2s4u-csn6o pyb.o gh the Earth, the relative motion between the S wave and the partic0n-ou . h s acdp6 pm4spk42b7ol)+iynles is

  In seismology, the P wave is a longitudinal wave. As a P wave travels t99, y /;o-c4acilsq :2mahvjqs *felxhrough the Ej q afmc,/yhqeoc4vsas9 ;*9:x il2l-arth, the relative motion between the P wave and the particles is

  The intensity of a wa1;ekh:ib: m,dgar (wove is

  A wave pulse traveling to the right along a thin cord reaches g*yhvbj/h472biysj 7 a discontinuity where the rope becomes thickerj/ hybv 4j7i*7sh2bgy and heavier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each:,pw.p wuu y12hx etp( other on a string, one is traveling toward the right and the other toward the leftue:1p.w2w xuypht, p(. At the point that they occupy the same region of space at the same time

  Two wave pulses pass each other on a string. The one traveling toward the righti8po7 x* oy3/twb (nh9 y;bsbi has a positive amplitude, while the one traveling toward the left has an equal amplitudeoo/sb*h79b ;pit ni3y8 byw x( 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 ends, occurs ; j6*tsfsx +e6yjd86 ww f5a:i9pukgp when

  If one doubles the tension in a vi ty04n1xnjf9diqtg.y:z ,v8dolin string, the fundamental frequency of that string will increase by a factor . gt:yfyxn14qj v,90tdz n8i dof

  What is the spring constant of a spring that stretches 2.00 cm when xrzv e tlvkk2; f 2b3+s1w l5xj2gmz4(a mass of 0.600 4+z1vjmes2 klwxlb5 g x; fr2v(zkt3 2kg is suspended from it?

  A mass is attached to a spring of spring1fxohiwn7 -scb. g1(k7 .o-5bkaylpb 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 baw.i so(b5bgyx .kp fckbh--oanl1177 ck to its equilibrium position when it is oscillating. What is the amplitude?

  A mass is attached to a spring nt hl 4-)p4ocyof spring constant 60 N/m along a horizontal, frictionless surface. The spring is initially stretched by a force of lhy4o ptc)4 n-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 horizontaj ; i6bz3etn-bl, 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. What is the frequency of oscillajbz ibt -n6;3etion?

  A mass on a spring undergoes SHM. It goes through 10 complete oscillation 7*vmxcfh qdbruc12ynuv/ 5he:a ;:/ls in 5.0 s. Whafv/ cvymea:cb7uql:r*xd21u/h5 ; nh t is the period?

  A mass vibrates back and forth frm lye,,vhved9f9wgq 6 u3.0e nom 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 vibrating mass when it is 0.30 m from its equilibrium positiou,fh9g l6eveyd nw qm30e,v.9n?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/ cri,9j2 g6ziim 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. zg j2riii,c9 6 What is the total energy of the system?

  A mass undergoes SHM with amplitude of 4 cm. The ed7 .yxoxor 7a;j v:ac/nergy is 8.0 J at this time. The mass is cut in half, and the system is again set in motion with amplitude 4.0 cm. What is the evodc77x; a/oxy :.a rjnergy of the system now?

  A 0.50-kg mass is attached to a sprinuv*( *+auibrrw,xk - ly 14 l6lcy4daag of spring constant 20 N/m along a horizontal, frictionless surface. The object , u+( l1y6r -*xw4v4diucalr*yablka oscillates in 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/m along a ho83 z(ep3ungh8b4k rf d t/uk,k +bc/oorizontal, fric3 38gokco 4/hbnr+z/u ubkt e( 8p,fkdtionless 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 spring constant aq6t. 16cz6 t jxzkwo850 N/m and set into si 6to6jwc1qz6t.kax z8 mple 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 5 aqdvy-t/fe 3p7qdk .pc:8tu to the end of a horizontal spring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the total mechanical energy ofc.y:/dut-fqpt pk8v 3 e qd75a this system?

  A mass vibrates back and gxfk2 p:-.hlgav 8s lc8x2-ykforth from the free end of an ideal spring of spring constant 20.0 N/m with an amplitude of 0.250 m. What ih2:kl-ck2f 8x. s8x-g lp gavys the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and) nycz;jd 9bq8-spring system is displaced 10 cm from its equilibrium position and released. A frequency of 4.0cdy);bq n98z j 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 attachek6vlwikl2ys/keg 6mb ), cs2;d to a spring of spring constant 10 N/m. The object is d2/sc kvg, )6kselm yi;6k2bwlisplaced 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 obj-j )wzv v8ck9 +te *ms+nlatq.dbv9s8ect is displaced bt 9 *nq+et8s9 zvbk c wv8.)-d+jalmsvy
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 slile( r2ytxdwsz./+wjkvn3x14 ghtly from its equilibrium position, and released. Wha v3(x1d +rw jwskl4.nt/xe 2zyt is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequency of 1.27 Hz when x)7-yvl/px tel6b /te.0 hrnu displaced a distance of 2.0 cm from equi/utpetll 6-)by/her7x v 0 .nxlibrium and released. What is the maximum velocity attained by the mass?

  Two masses, A and B, are atq6lqh nat+7kz;w :2az tached to different springs. Mass A vibrates with amplitude of 8.0 cm at a frequency of 10 Hz and mass B vibrates w:kzl ta 72w+qna6;hzqith 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. Inw3;b3 pe*d0 xgxa(hnp 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 rest. Calculate the periodeh wn3a0bp*;g dx3 p(x of oscillation.

  A 0.30-kg mass is suspended on a spring. In equilibrium the mada20pt 3rmr xt/t7ln 7ss stretches the spring 2.0 cm downward. The mass is then pulled an additit xrmtpa/7tnd7l r 320onal 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. In equilibrium the mass stretcha/ r.;lv buv ijb:cgu4x0-fu3es the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and released from rest. Write -jg4 u:iu;u0vbvb a/cr3f.lxdown its equation of motion.

  An object in simple harmonic motion obeys the following position versus tim 7;13k caby;te2hggz9jlv6 dxe equatio yk37;j9c6egl2dbv1 z; hgt axn:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following position versus time equugt,z4z mdr;7)+aon y a+o zr) mdng ;4y7aut,ztion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following popcbi*tw/j z zxn )w4 pa)-sv8(sition versus time equatiopj8zb*))pcsw- vw /xz i4n( atn:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring exec4l wcym3p 00y1hx3vo autes simple harmonic motion according to the equaticlyh0oap3vm31 x0w 4y on $y = 0.50 \; \sin (18\pi \times t)$ where y is in meters and t is seconds. What is the period of vibration?

A 1.5-kg mass attached to spring wito ln*7w-0w.mhxaw-g 9/ltq u jh a force constant of 20.0 N/m oscillates on a horizontal, frictionless track. At t= 0, the mass is re*x 9jmwn.hu-0w ol/w7t- agqlleased 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 swi.p8jt/o:85 ,vhsp b2 jegdbtdngs in 8.0 s. (a) What are its frequency and peripjbe:5/v88bps dtt,j hg.o2 d od on Earth?

  A 3.00-kg pendulum is 28.84 m long. What is its period on*m. s9th. :k gtwuip2ehp w,t4 Earth?

  A pendulum has a period of 2.0 s on Earth.dl2zf /(dz ovx,+ -9hi wuts,x What is its length?

  The pendulum of a grandfathef22s q0uyolg(sriac* n7 2o0k r clock is 1.0 m long. What is its period on the Earth?(*snf22scq ra0o7 u okgyi0 2l

  The pendulum of a grandfather clock is 1.0 m long. What --q q*iz+zq+p 0qy hdiis its period on the Moonq+y*izz q+d-hiqq p -0 where the acceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass atta- cd.iou(zre r64byk 9ched 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 resu ub.dzroc(k94 r i6-eylted if a 0.50-kg mass (same diameter sphere) had been attached to the string instead?

A simple pendulum cons8gngddq4 +k6 oisting of a 20-g mass has initial angular displacement of 8.0e. 4g6koqdn8+d g It oscillates with a 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" of a wave at a given time. The frequency of the wavnxncy0m98nx +4 -(n cqogid a0e is 1c-x(anxmd +ni0c 0 y4onq ng8920 Hz. What is the amplitude?

  Figure 11-2 is a "snapshot" of a w9 dwy yu 9v7q7/n-kssgave at a given time. The frequency of the wave is 120 Hz. What is the wavelengthsgvy97n dk9-qus y7 w/?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency of the wa0kaql7hg 5 eg0ve is 12qe507 ggkah0l 0 Hz. What is the wave speed?

  What is the frequency of a wave which has a period ofc;.q jccst 0b) 6.00 ms?

  What is the period of a wave with a frequencrut0mm)2a3v( 8 r(zd +sft8vn q1xjady of 1500 Hz?

  What is the wave spej m.)n;9 b0 ur(tynv)zgq3.b g yap+ozed if a wave has a frequency of 12 Hz and a wavelength of 3.0 m? qz+) zjyv).0rngpb3 9;n.boatguy (m

  What is the velocity of a wave that has a 7wp q90d.v9j( ek;gx bm 3bzcywavelength of 3.0 m and a frequency of9p7z(. d 0cbxbyjwq 39ev ;gkm 12 Hz?

  What is the frequency of a 2.5 m wave traveling at 1400 ms )kh0w3 rujn6/s?

  A piano string of linear mass density 0.0050 kg/m is under a tension ofkb0si/h:gvp ;i+b1bv 1350 N. What is the wave spe vs+vi/ikg: b;bb0 h1ped?

  A string of linear density 6.0 g/m e+.:dyoe() hvpunq) 9;qr0 kjokc hb9is under a tension of 180 N. What is the velocity of propagation ofe0cn +)ehpdyrqv9)qu. ( k ob9h;jk:o transverse waves along the string?

A wave whose wavelengnx))7; lg6b6 nvw0a j ajt+hzsth is 0.500 m is traveling down a 500 m long wire whose total mas)7van)b606tj nxhl ;ga z +swjs 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 transver1sv wpdc / qeb5 s:tf.hgfz8-4se wave on a 2.0-m long string fixed at both ends is 200 m/s. d 5hzc-:w8fsqbe/ gpfs4tv.1 Which one of the following is not a resonant frequency of this string?

  If a guitar string has a fundamental frequil.s+fdf91 df ency of 500 Hz, which one of the following frequencies can set the string into1ls.fdid +9 ff resonant vibration?

  A stretched string is observed to have four equal segments in a standing wave oz +bh f15+xu;6nivvjdriven at a frequvvhij6+bnu5x1o f z;+ency of 480 Hz. What driving frequency will set up a standing wave with five equal segments?

  A string, fixed at both owjy kr:5r0-qq4 jl1g ends, vibrates at a frequency of 12 Hz with a standing transverse wave pattern gwyj:q0 lr 54k q-rjo1containing 3 loops. What frequency is needed if the standing wave pattern is to contain 4 loops?

  A string of linear density 1.5,- 7+i f . qwv,;cx,ldxfglicf g/m is under a tension of 20 N. What should its length be if its fund q,dlc,7cf ff xxvlwi.-g;i+ ,amental resonance frequency is 220 Hz?

  Find the first three harmonics of a string of linear mass density 2.00 g/m andx58;dp3kovggi -xu 1y length 0.600 m1kg8x5pu vg-x 3;oyid when it is subjected to tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. When12 2i*v tvfs6b0)wjv b.jh rkg the string vibrates at a frequency of 85 Hz, a standin6rs*v.j b)hwijkgv vt2f2b01g 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.