The time for one cycle of a periodic process is caqz01*e6inzv (jqn bh z8hu((illed the

  For a periodic process, the number og idz+r+ g,af9a w07mxf cycles per unit time is called the

  For vibrational motion, the maximum displacement from the equilibriuv*lvghp op :u37g3oq,2g,r mym point is called t h, :v3v u*g7o2glp 3o,pygqrmhe

  A mass on a spring undergoes SHM. When the mass is at its maxn loq 4z8-pqx+p6nwm -imum displacement from equilibrium, its w+nn8qopl m-4 -p6zqx instantaneous velocity

  A mass on a spring undergoes SHM. When the mass pa j:7l)g hhtvw: gdeyg:.z,9tq sses through the equilibrium position, its instantaneouthq )gy,jht.l g7wdz:egv :9 :s velocity

  A mass on a spring undergoes SHqm38boic*o, i5jy l( hM. When the mass is at maximum displacement from equilibrium, its instantaneous accelerai o*o58jc ybqi(h3 ml,tion

  A mass is attached to a vertical spring and bobs u gtr:gq3zjuvv96 j1hb2 0sa(cp and down between points A and B. Where is the mass locatedqv0:bc2gv 6t(1z9u rj js3gha when its kinetic energy is a minimum?

  A mass is attached to a vertical spring and b( e)tmrro/,x bobs up and down between points A and B. Where is the mass located when its kinetic energy /r,mtexb(ro) is a maximum?

  A mass is attached to a ver/)a3bxg wh.qby1c*d itical spring and bobs up and down between points A and B. Where is the mass located when its potential energy is a ma wq i1h d.x/b)cy3*bginimum?

  A mass is attached to a vertical spring and bobs up and down between point-5po 9vtn4 iols A and B. Where is toon5-t i9p4l vhe mass located when its potential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-spring system prd )kl3bpb t kyk:22a0poduces what effect on the system's mechanicap 0l3)adk:b 2pkt2byk l energy?

  Doubling only the mass of a vibrating mass-and-spring system produces w agkxet(j 72q;hat effect on the system's mechanie2qtgx kj(; a7cal energy?

  Doubling only the spring constant of a vibg-e6rq9c tq)ar h2,7g. c zzxnrating mass-and-spring system produces what effect on the system'stc2-)c r.g,zea gnr7zhqq 6x9 mechanical energy?

  A mass oscillates on the end of a spring, both on Earth and on the Moon. Wher mvhezz/s2/maa6a)z/ e is the period the gre6 zvasezmm/ 2a az//)hatest?

  Increasing the spring constant k of a ma:np;i +e3 hox/xtj ;rgss-and-spring system causes what kind of chxo/h +;rj n3ietx;gp :ange in the resonant frequency of the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system ck yig0asl w25/auses what kind of change in the resonant frequencg wa2 kyl0/si5y of the system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system causes j4c+swde,pr;c :o gpd *lwn,f- jjl7 ;what kind of change in the resonant frequencygwn+p;l7p*sj-j,r4f,d;dj le cc wo: 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 string of +f0v + bzdkmwdd:(g;vlength L. For this system, when un:ddz bv0+v; wg(fmd+kdergoing small oscillations

  When the mass of a simple pendulum is tripledjwhb.hs vhifeo-561bd*86ji-nj g f;, the time required for one complete viv6 i jh1;.-bfn5fdh*8 oi es jw6-hjbgbration

  Both pendulum A and B are 3.0 m long. The period of *rh m9,3r dhhbxa5 i6ouen46 sA is T. Pendulum A is twice as heavy as pendulum B. What is the periodnrsxh3 eh ad6ri 4u9ohb ,5m6* of B?

  When the length of a simple pendulum os4v pkbbem-g)lsfox-;txls 90v266 is tripled, the time for one complete vibration increases by a facttbkf -9)6b4-sv s2o0pxglov6lm exs; or of

  What happens to a simple pendulum's frequency if both its length and mass a.i7e:xks/kb, lr nlr )4mq*vlre inqei )*r4. ,l/vk mls7l krbn:xcreased?

  Simple pendulum A swings /fn ea k 5d4v ;-yp 3kbwq6*-*epu4sdk vr(fpqback and forth at twice the frequency of simple pendulum Bqe-*f6*k b(dudavw/ 5k -nsk4 fp;rvp43peyq . Which statement is correct?

  If you take a given pendulum to the Moon, where the acceleration of gcng zja p/*wh2 v 6j7gr00-cdqzpq/ k(ravity is less than on Earth, the resonant frequency of the pendulum zgpqv z2(ha rgd7wj0p*j c /ck6/0 nq-will

  Curve A in Fig. 11-1 representv :5kwa*rttq ee;3 sy) g89ug/ckpyr. s

  Curve B in Fig. 11-1 repr -(4g8yy3ojbe-rdaxv70q jtw esents

  Curve C in Fig. 11-1 pi0ihazh +pr znx5j, oxr2 qm-s4(5 v2represents

  For a forced vibration, the amplitu, 33dio n)- (cbebvojode of vibration is found to depend on the

  In a wave, the maximum displacement (r27su z7ilf iof points of the wave from equilibrium is called the wave'7 u2l7ziri(f ss

  The distance between successive crests on a wave is*pp(*.9e hkvqco - hex called the wave's

  The number of crests of a wave passing a point per unit time hjw6)mx0y yc7 is called the wave'xy60 mwc)7j yhs

  For a wave, the frequency times the wavelength is the wf92m( q4at:llbswj7g oldue )/v8m v 5q r)u2uave's

  The frequency of a wave increases. What happens to the cw- o mwv(-o;xmqbw u(sy/yb1c8h 7w;distance between successive crests if the speed remains coybsm w1wh8/mu ; c7(wy(o ;bvcqo--w xnstant?

  A wave moves on a string with wavelengno7sn .ymg b)7th l and frequency f. A second wave on the same string has wavelength 2l and travels with the same velocity. What is the frequen7.)o7sn nymbgcy of the second wave?

  Consider a traveling wave on a string of length L, 6g ; 19pyxloelmass M, and tension T. A standing e;o 1pxgll6y9wave is set up. Which of the following is true?

  A string of mass m and length L is under tension T. The speed oto/ 8 f(e/zexeb3;his f a wave in the string is v. What will be the speed of a wave in the string if the mabs8/; /efoi zxe t3he(ss of the string is increased to 2m, with no change in length?

  A string of mass m and l5 b4wkpwgcvahn l94tlh:ox4:j4 + f6tength L is under tension T. The speed of a wave in the string is v. What will be the speed of atb59gn h4tw6of:c kvlxa p w+l44h4j: wave in the string 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 a wjue9nlp nxw( , d3+)yyave in the string is v. What , 3(yune)x9pj+ l wnydwill be the speed of a wave in the string if the tension is increased to 2T?

  In seismology, the S wav g+.qar c8r1x 2i4zmt5rkrpx ,e is a transverse wave. As an S wave travels through the Earth, the relative motion bet4 cp1+5a trgr2,qkri8 xz.x rmween the S wave and the particles is

  In seismology, the P wave is a long 5u 5vg 3c0r5m0rajh+nz+ xjqbc13kch itudinal wave. As a P wave travels through th u5510+ x+bmc3 0rzghcchqarvnkjj 35e Earth, the relative motion between the P wave and the particles is

  The intensity of a wavt4w*+lj l9o(f dt :z-nkewo q+e is

  A wave pulse traveling to the right along a thin cord reachberlk90a(0* w0qdd0ch7orvg es a discontinuity where the rope becomes thicker and heavier. What is hg e0aob w*d0v0qrd9ck l(0r 7the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal js/vw x(/h;y j ef:w1bm7wo8u positive amplitudes pass each other on a string, one is traveling toward the right and the othe8x71u sj/h wbo/(fwyejvm:;wr toward the left. 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 on7 yxn6x7qqa)n e traveling toward the right has a positive 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 samexqyn7a) xqn 67 time

  Resonance in a system, such as a string fi;jih5 sjjng ea,deu,q( uyh7)7x re1 (xed at both ends, occurs when

  If one doubles the tension in a violin-jfv.a0ii llraab62 k*-i/vz string, the fundamental frequency of that stringa6i .fva kv 0-z-ri*b2jl/a li will increase by a factor of

  What is the spring constant of a spring tx6)vz ozuu1.x n-8nr qhat stretches 2.00 cm when a mass of 0.600 kg isv1nzrx)6- xq.zou8nu suspended from it?

  A mass is attached to a s7av;sg5u vnb(p e(u2dpring 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 lev( 5dva;eu7n (sb2 upgt 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 aj6ceuldbe l ( o)l.3-d 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 it)ue6o(cb d- .dlllej3s equilibrium position when it is oscillating. What is the period of oscillation?

  A mass is attached to a spring of spring 6p;.qdkykup249i j cybzc k51 constant 60 N/m along a horizontal, frictionless surface. The spr.;qp 24k1 dcuzc5ik b 69ypjyking 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. I4u h aim/6xmvfq lgu7:z9w3)st goes through 10 complete oscillations in 5.0uvmq9 uwmaf:7zs 6/)x3 iglh 4 s. What is the period?

  A mass vibrates back and forth from the free end of an ideal spring pv9s ,i 4 kj2xry7pn3mof 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 itsm4sky,inj2 x ppvr937 equilibrium position?

  A 0.50-kg mass is attached to a spring of sp 01qq )lmj9gxx.1zdm/uhmcu1 ring constant 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 position. What is th0)dl1j m/q hx.1mu9qm 1guxc ze total energy of the system?

  A mass undergoes SHM with amplitude of 4 cm. The energfvh)u y,z4ky*y 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 energy of the system n4v*fkz)y,yh u ow?

  A 0.50-kg mass is attached toovb( w2 qxk+l ;piqc58 a spring of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple hqovwpbx(lci 52 ;kq8 +armonic 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 s(l(p2 lf,y jkopring constant 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 position. At w((ko l,fjyl2 phat location are the kinetic energy and the potential energy the same?

  A 2.0-kg mass is attached to the end oi+d*x/rk w*a+ pgi4xef a horizontal spring of spring constant 50 N/m and setik +*xix+egp r4d*/wa 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 spring of spriny hrr5vaj62 g /5yy;xvg constant 50 N/m and seg5;xyvv5yy 6 /ar2 jhrt into simple harmonic motion with an amplitude of 0.10 m. What is the total mechanical energy of this system?

  A mass vibrates back and forth from the free end of an ideal hg c/ a3i7+vezspring of spring constagciaeh /z+7v3 nt 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 from its equilkfy813l ph2 oem4oiyp a/l)o3 ibrium position and released. A frequency of 4.0 Hz is obsieh4 p p)f8aolk oym1lo/3y23 erved. What frequency would be observed if the mass had been displaced only 5.0 cm and then released?

  A 4.0-kg object is attachedb1mspv7a f7f1 k6jyzyj * (xf7 to a spring of spring constant 10 N/m. The object is displaced bf 7zay7fjb6vsf7( yj1m p1 *kxy
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 sbhkkvi()u +vi)lbkc) a74l b* pring of spring constant 10 N/m. The object is kbbh*bl(ki)kv 4 )+7ciau)v ldisplaced 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 sli0t;kjbmza c5rhl37,g ghtly from its equilibrium position, and released. kcl0 mh,37gj ;rzb at5What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a cb gdjdz1;i ge 5brw+-c1m7 tkww/5n-.pc 8eu frequency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What is the maximum velocit/5cw-1tpkcwced1+u5 z rg 8-7gdembnji ; w.by attained by the mass?

  Two masses, A and B, are attached to different springs. p .sqd6u.exrg*rx )8y 2ask+r Mass A vibrates with amplia dg sp)x. .r*862eqrxku+yr stude 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 mass stretches )w ifa s/(i)shkdx/v+ the spring 2.0 cm downward. The f) x(wa/ d+sh)ks/ iivmass is then 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 equi wa0nt29 elky dsvi ;k5p;a4d/librium the mass stretches the spring 2.0 cm downward. The mass is the2way 5/kst k4 dv;ailn9ep ;0dn 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 as 4djm: t;g wkylpf3h/j5m,8w spring. In equilibrium the mass stretches the spring 2.0 cm downward. Thewm438ysl jwfkhptdg,/;5: m j 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 position versua3.jdg -x6 ihvs time equati-hxg6dai .v j3on:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the followingiwf +t;otw63q position versus time equationow tiw tq63;f+:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys 5 8w 0zg2pdwdbthe following position versus time equatio5 gdzw pw0d2b8n:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executudfa 0ep.qya-le y*3. es simple harmonic motion according to the equation yalpyd0qefe.- u*3.a$y = 0.50 \; \sin (18\pi \times t)$ 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 constaba/) r)wm3 n wj7aqs;x1pom4 cnt of 20.0 N/m oscillates on a horizontal, frictionl4ba xo wnaj /;r1w)pq73mscm)ess track. At t= 0, 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 are its fre( 3r9kuxst/sd k5rb4ha0ta7i quency and period on 7h09k( 4art5s irsuk/axb td3Earth?

  A 3.00-kg pendulum is 28.84 m long. What is its period on Earth? kkxl 4b mu1 b4rpm-/zns5i*3rx)to g;

  A pendulum has a period 4g y6gs n gffo6p+)wh2of 2.0 s on Earth. What is its length?

  The pendulum of a grandfatb/dx4.kmvx4ajq gr:kvu8p u 1c ;ke ()her clock is 1.0 m long. What is its period on the Earth?gr pb8.x4 /ukd;uqkva:4) em(xjv1ck

  The pendulum of a grandfather clock is 1.0 m long.u4+bm(1h ws rk :z2fbb What is its period on the Moon where the acceleration due to gravib2( m hk1r4fb uws:bz+ty is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attached to a massless 3cboofvp88q6 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 frpq3oc 8vb8o6fequency 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 has initial ayji y)3) nk)idngular displacement of 8.0e. It)k i3nd)iyjy) 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 givm;jla41u l)- g3g6nkp8prdd ien time. The frequency of the wave is 120 Hz. What is the -d43 ;lpmnpg gu )d1 lk8iajr6amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given tigtq-r9qng5o 967s xzdme. The frequency of the wave is 1209nso5gxgz r -d76 qtq9 Hz. What is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency of ho8 (p555 ulnowqzyj*the wave is 1jhl *nopwy58 5o uq5(z20 Hz. What is the wave speed?

  What is the frequency of a wave which has a period of 6.00ab 8ls*iw 4vbde ;y;v9 ms?

  What is the period of a wav 5/)ycr)svonl7y yln*e with a frequency of 1500 Hz?

  What is the wave speed ix8yi7t,sv+0se)n:-k :yc/ n ncbb vyxf a wave has a frequency of 12 Hz and a wavelength of 3.0 + ,x/ nix 0s:n)ybv -n7bckyt :y8csevm?

  What is the velocity of a wave thahb3:ws dm-xa( x(tud9m s8i)k t has a wavelength of 3.0 m and a frequency of 12 ( xhd9musm(wa8 x3sibdt) k:-Hz?

  What is the frequency of a 2.5 m wave traveling at 1400 i8f0xr.2zdl bm/s?

  A piano string of linear mass density 0.0050 kg/m is under a tension *s7l af;-rgz fxlp0s2of 1350 N. W;*0xfsa7 p r l-gfszl2hat is the wave speed?

  A string of linear density 6.0 g/m is under a tension of 180 N. What is the ve qj)h:dt;o.2 2qtferdlocity rqqjd):;oh.et td f22of propagation of transverse waves along the string?

A wave whose wavelength is 0.500 m is traveling down a 500 m lonu u7q4anabpr-y 8)(ni*mff4cg wire whose total masnmbap4 ucyr8*ifaf(n4 )- u 7qs 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 2.0m9gohopjtzi+; :2 tc2(n( zs1 7bmhi i-m long string fixed at both ends is 200 m7j iigiphtno;+19 (z(:hmo2 cbzt2 ms /s. Which one of the following is not a resonant frequency of this string?

  If a guitar string has a fundamental frequency of 500 Hz, which one of 5so27xe b* aqpef xfgz)j8x93sz yh,8the following frequencies caeyz 3z9) e * h2pj faog85xx7bfs,xs8qn set the string into resonant vibration?

  A stretched string is observed to have four equal sdo4t0dq/)2 +perwix vmg.u,uy9xtb/ egments in a standing wave driven at a frequency of 480 Hz. What driving frequency will set up a /eiou +0wgrxq uv4dd /m9y,2ptx. ) tbstanding wave with five equal segments?

  A string, fixed at both ends, vibrates at a xq vhm-0jy ym793ofs9frequency of 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency is needed if the standing wave9ymx0hjs3m7v -y of q9 pattern is to contain 4 loops?

  A string of linear density 1.5 g/m is under .)olcj(j/yr )+ij bhjk8 hfs 1a tension of 20 N. What should its length be if its fundam yj)j )h cljkob(8si/h+r. jf1ental resonance frequency is 220 Hz?

  Find the first three harmoniju(04xu tfn1kcs of a string of linear mass density 2.00 g/m and length 0.600 m when it is sub n4 0(1jkuxtfujected to tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. When the stwx6 msk:hhwj*jkra )(x 58w5kring vibrates at a frequen8wk sh6wawmrk5 :5x(xj hk) *jcy of 85 Hz, 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.