The time for one cycle of a periodic process is callb-+rcjf7c ,(9a*ci kr zv;n28kcn5smfl/ k swed the

  For a periodic process, the number of cycles per unit time is called ,.a(xue* ;j njs +9v/8dj*gzuqwl ibqthe

  For vibrational motion, the maximum displacement fromit7puk/s 71ex*ar6v,3blun. t jb5km the equilibrium point is called trxnps37 ./euu1itat v lk67k, *bjm5bhe

  A mass on a spring undergoes SHM. When the maa7ch n+c: 9zepss is at its maximum displacement from equilibrium, its instantanez7ha pcn:9c+eous velocity

  A mass on a spring unr64n2 l wq; g45moqeeedergoes SHM. When the mass passes through the equilibrium position, its instameqwg;25l4 qeon6 e4rntaneous velocity

  A mass on a spring undergoes SHM. When the mass is at maximumhm x/ .mmk,2 jouaw/p( displacement from equilimk/m. wa(/,hu oxm2j pbrium, its instantaneous acceleration

  A mass is attached to a vertical sdek,lc0* bv10led m2t pring and bobs up and down between points A and B. Where is the mass located when2tv* e0c1medb,lk0d l its kinetic energy is a minimum?

  A mass is attached to a vertical s bu 2/kcp5ush:pring and bobs up and down between points A and B. Where is the mass located when it2:u s k/c5upbhs kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up and down between pox9* ) :2wxslgah vmhlb84+xqn8ny (zzints A and B. Where is the mass located when its potential zsh*xnxwx(al:9 8)qg8zyvln+4 hm2 benergy is a minimum?

  A mass is attached to a vertical on:nyx2 u/ku6y6jl+u spring and bobs up and down between points A and B. Where is the mass lnlnyuu o/6y2ku6+j x: ocated when its potential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-sprif zy.xkk,/y8l6,c8wttnyo l*a x *)se ng system produces what effect on the syst8lzeyxky, 8 wky)xo6*,s la*cnt t. f/em's mechanical energy?

  Doubling only the mass of a vibrating mass-and-spring w5ve xedu(9rqim03v2 system produces what effect on the system's mechanical energy?w239erv dqem0iuvx5(

  Doubling only the spring constant of a vibrating mass-and-springii)fgcosq7.o77 3 8d bxbsj+z system produces what effect on the system's od.bfj 8s c7iq i+7sgxoz )b37mechanical energy?

  A mass oscillates on the end of a spring, both on Earth and 43-u 4 u3x qikovecvv4on the Moon. Where is the perio4ioe-cx4 u4qv3u vk3vd the greatest?

  Increasing the spring constant k of a mass-and-springl(cj*ye5g)- jz,joy c system causes what kind of change in the resonant frequency ojl*g)( c, ycjyojz-5ef the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-sprin 5gjk7q;1bjw(k y1wh gg system causes what kind of change in the resonant frequency of the system? (Ass1;bk5w(w g7h j qkg1yjume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring sys83q5ix batn;x9 qz-ditem causes what kind of change in the resonant frequency of the systemix- 5 at9d;qb 38zqnix? (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 attachedc v zv9p/ byf* uas/q2u430qpn to a weightless string of length L. For u/0a*u qzf sq24 pvn3v9b /ycpthis system, when undergoing small oscillations

  When the mass of a simple pendulum is tripled, the time required fu9nw te,l, tm*zstjx 4yhp)+;or one complete vi,+epwuz;htjy s)t nt 4 *mx9,lbration

  Both pendulum A and B are 3.0 m long. The peri2cgr344kpk qiod of A is T. Pendulum A is twice as heavy as pendulum B. What is the period of B?3k 44p ciqgk2r

  When the length of a simple pendulum is tripled, the time fo-jx4s;xha+gtv. i2f rb 4t. rer one complete vibration increases by a facse;4r t g ..tv2xaib+xfj4-h rtor of

  What happens to a simple pendulum's frequency if both its length ando*q-v -e on(t-cer)lv jen3due*f5d ) mass are ine-o)e*3r5j )t qvdn oveneufc(*-d l-creased?

  Simple pendulum A swings back and forth at twice the frequency of sfc,yz aytu 9t65uoc6ut8 f d a)tb(+g s8f08qfimple pendulum B. Which sta 8)c9ffquou utt 8yys58f,b a6+g(6fcztd0 tatement is correct?

  If you take a given pendulum to the Moon, where the acceleration of gravity is lk06 7q5/ ml8cva :jl7*zpkirsb8 aymq ess than on Earth, the resonant frequency of the pendulu6rqk5v*l c708kb p /ajzms7a8 :mylqim will

  Curve A in Fig. 11-1 re+u ( wsahfba2.y 1axi0presents

  Curve B in Fig. 11-1 representstsj5h+ vrszc9zzy , ,/

  Curve C in Fig. 11-1 q7zq hjggu;;4va fwuz+ :q33x represents

  For a forced vibration, the amplitude ov xw)6sf c/r6nf vibration is found to depend on the

  In a wave, the maximum displacement of po3bf/t 2 l-zbbzints of the wave from equilibrium is called thetz /-lb 3b2fbz wave's

  The distance between succestbj+/2lm0y,cp.u be v* .fa ofsive crests on a wave is called the wave's

  The number of crests of a wave passing a point per un1ogih) apa0u ut8cf( 4fq8/ btit time is called the wave'uoa/ (gtu t f1fca0)p8 8ibh4qs

  For a wave, the frequency times thes dahc0ik/3xxa,hque baw9b4)0 .9y c wavelength is the wave's

  The frequency of a wave increases. What happens to the distance*cd)n e )x2ylx between successive crests if the speed remains constant?)nd *ly) ex2cx

  A wave moves on a string with wavelength l and frequency f. A secoocxis7k qd e. l:q,58snd wave on the same string has wavelength 2l and travels with the same velocity. What is the frequency of7 oqq5, .ed8kiclsx :s the second wave?

  Consider a traveling wave on a string of length L, mass M 2xqb/elxo:aik p5f) 2, and tension T. A standing wave is set up. Which of t iolba5):2 2fq/kxe pxhe following is true?

  A string of mass m and length L is under tensio (0m5mmjmt*n2i )nhdq9i6 0q g7 lqb;qfexd)tn T. The speed 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 )m bgjnm q0;(fe07) i5qqmd xdt2mqln9*6t hi?

  A string of mass m and leng sf)k z; gornc88/( euvnfm4fs4,kxk+th L is under tension T. The speed of a wave in the stfs4 ku ns c;mo8(frk +/, 8)x4gkvzefnring 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 length L is under tension T.y4 r*xc;p 3 xxzk.c5zc The speed of a wave in the string is v. 34xp*5czy ;xrczxk.c What will be the speed of a wave in the string if the tension is increased to 2T?

  In seismology, the S wave ,9mzf yw hlnn/(vz:-.y* ezwj dad7j awlw136is a transverse wave. As an S wave travels through the Earth, the relative motion between the S wave and the parti*d jfy(wwwam,97 /y1nvz.-ezn: zadl3 6whj lcles is

  In seismology, the P wave is a longitudfwuh,zgz0hbg lk0z9t9ho lxg00a5* .inal wave. As a P wave travels through the E0h9hzuzzob0 a l*,9fgwgt .k0 50lxhgarth, the relative motion between the P wave and the particles is

  The intensity of a wave ia p2usd4d8) io-fxfp+ s

  A wave pulse traveling to the right along a thin cw1l(j ayz k3)cord reaches a discontinuity where the rope becomes13caj( z )klyw thicker and heavier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each otdo*3xwgg 7k50tn 0kq nher on a string, one is traveling toward the right a7g3 0nkqo*05xgndt wk nd the other 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 one traveli ly 956+sc1qw(i q8ezei u;gfqng toward the right has a positive amplitude, while the one traveling toward the left has an equal amplfg (eq 1wqylui; c+8q5s6e9zi itude 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 fixedcjg 73pnn6d 1i5*unjnn(elx6x ie48e at both ends, occurs when

  If one doubles the tension in a violin string, the fundamtu2hq jy gp*nr33 k3)dental frequency of thatj3y t3dr un*h 3pg)q2k string will increase by a factor of

  What is the spring constant of a /jhbfbglo7j(( g 2pkoqh-)1 ispring that stretches 2.00 cm when a mass of 0.60p hb 7g/o2lk ofjqb(h)1jig( -0 kg is suspended from it?

  A mass is attached to a spring of spring constant 60 N/h 1,qhgms)kq8rtk4i/- xu ;cp 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/qxch, t 4g1p8urmqki-ks;h)s equilibrium position when it is oscillating. What is the amplitude?

  A mass is attached to a spring of spring constoop4)-5icbsmw. v+mt ant 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 equilibrium position when it is oscillating. What iot.-4mvm+wb 5cp)soi s the period of oscillation?

  A mass is attached to a spring of spring constant 60 N/m along a horir;2d w qvqwxcs:6)3 (wi ajw;mzontal, 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 oscilla rqwwc;3();js : wvd2wa6xmi qting. What is the frequency of oscillation?

  A mass on a spring undergoes SHM. It goes through 10 complete oscillationsad1ti1:9zprgi/t+ y i in 5.gi /:dipy i9at+1 t1rz0 s. What is the period?

  A mass vibrates back and forth from thefngls +(r .ii8jt+t n8 free end of an ideal spring of spring constant 20 N/m w( +n8+j.nt is 8iglftrith an amplitude 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 constant 20 N/m along a hor*t 1)pqtbvgu)) x s-acizontal, frictionless surface. T) c sq*txa vt1up))gb-he object 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 a6xkq 8a;rk,wdmplitude of 4 cm. The energy 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.rakxkd,; w6q8 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/v6we1zbgu8 tzz77 u u a horizontal, fricti6 /utg8 1zv7wzeu b7uzonless surface. The object 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 w)r r2*kryzmuubzk9;0q m 12s20 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 what location are the kinetic energy and the potential energy2 *u2rzmz 0sbkk9;uw)r1qmr y the same?

  A 2.0-kg mass is attached to the end of e1j7c8mu)kw wb v,hhk-)nycbvma:8, a horizontal spring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. hbu k ,-ym:)8be)cmk vv 8,h17ncjaww 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 -l(awlxl:ehcbz q8zm+ p/2z8wx wo- ;constant 50 N/m and set into simq88(;xl/w xo hwezc-az +llm z:2bw-pple 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 spring of7 39zhsp lmd 6 w;v-qk50qqgux spring constant 20.0 N/m with an amplitude of 0.250 m. What is the sl5;-d 7ph6gkzv3x q0wqmq 9 umaximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring system is displaced 10 cm94 -zsi) oswwax bice8e f2y-3 from its equilibrium position and released. A frequency of 4.0 Hz is observed. What frequency would be observed if the mass had been displa x-yoi4 2wa9f ci)se83b -szweced only 5.0 cm and then released?

  A 4.0-kg object is attachedc6m ) gsnzay*)d5/w qy)p5iapumn*e - to a spring of spring constant 10 N/m. The object is displacedsu cgw a)ymnn qey/* 5 idapmzp5)-*6) 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.y2-6x cj5sqf u The object is displqsj 56- uxcfy2aced 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 sl9oc *7q 7z;oejh5h:vvd5ix nsightly from its equilibrium position, and relea7xh*vi7nec hz59j v;qo o5:dssed. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a freq0j2o (qq ld-heuency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What is the maximum velocd(20qlq - jeohity attained by the mass?

  Two masses, A and B, are attached to different springs. Mass A vibratesn5tk3x ;rl1z m with amplitude of 8.0 cm at a frequency of 10 Hz and mass B vibrates with lnxr z53t;1kmamplitude 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. I+*pp2 (w fnxnsn equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1 p n(2n*wfx+sp.0 cm down and released from rest. Calculate the period of oscillation.

  A 0.30-kg mass is suspended on a spring. In equilibrg:l*dyb37*ja mb:b gfpq 79 hmium the mass stretches the spring 2.0 cm downward. The mass h:9:7mdymj73ba pqfl * bbg*gis then 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 a spring. In equilibrium the mass stu fl:m )72ktqvretches the spring 2.0 cm downward. The mass is then pulled an additional distance u2qm kv7):tlf of 1.0 cm down and released from rest. Write down its equation of motion.

  An object in simple harmonic motion obeys the follow)+ u2amlu(rgq ing position versus time equat l+amuu)2 gqr(ion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following posi*b /q37 j *i7hxlzwjlltion versus time equa7 l/l7j zx*3lqj*ibwhtion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following positiomk+96 orhty1zeqz6t f h3x*jl+./r bvn versus time equahfr l 1t+9omvbk*h6q./jxy+3zrtez6 tion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to thej(,gll)(fp ixdm 6 g1r free end of a spring executes simple harmonic motion accordingm6fl ,pxgdg(l() jir1 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 with a forcexb c6*y(tn x/o constant of 20.0 N/m oscillates on a horizontal, frictionless track. At t= 0, the on(/t cyx6* bxmass 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. (vo;1sy/ouedr *en7t7f1 fti (a) What are its frequency and period on Etoy* ; /f s1ov7(e1ndrfi7uet arth?

  A 3.00-kg pendulum is 28.84 m long. What is itv/.qgus2ba6bwxu :/ij ub9b )s period on Earth?

  A pendulum has a period of 2.0 s on Earth. What is h ):pul.v rq4rits length?

  The pendulum of a grandfakbdv j.64fd 2other clock is 1.0 m long. What is its period on the Earth?v6b.4dkf2ojd

  The pendulum of a granrdc ji/nm3p7px j dt4yhr/u45(p2 + ecdfather clock is 1.0 m long. What is its period on the Moon where the acceleration due to grc/dyn4 p4ux/+ 3 hdr57itjm2p(pjre c avity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg sphericrx7 et,*.hm2 a 28uofbw,yjpbal mass attached to a massless string. When the mass is displaced slightly from its equilibrium position t8abrf*.7 xm22eojw ph,b u,y 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 has initial angycduu 4m nj.52ular displacement of 8.0e. It oscillates withud2y j5. cmu4n 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 th.o 3g::i 7pmwpfuem1ie wave is e3i1omgf 7:p m .:wuip120 Hz. What is the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequemcer;l :me-vb+w )c0gncy of the wave is 12g lmc w0 ;c)m-erve+b:0 Hz. What is the wavelength?

  Figure 11-2 is a "snaps)-1w r 0tbhla ,gbjp,00 o,dtvie,ntg hot" of a wave at a given time. The frequency of the wave is 120 Hz. rp)1g d g t,0ih ,,j-teobwv0nalb,0tWhat is the wave speed?

  What is the frequencys6*3 z4dm zhb3xbo3 u1 jemwb3 of a wave which has a period of 6.00 ms?

  What is the period of a wave with a7vvu4tbbh2z p.;al jrq6b ehx)1mr /5 frequency of 1500 Hz?

  What is the wave spe4c.zyv*1yphb e t2d ) j,vxoo3ed if a wave has a frequency of 12 Hz and a wavelength of 3.0 t4,yx 2z vvy.eh3pbo) 1*jod cm?

  What is the velocity of a wave that has a wdbd8uayt4.y1- mb;e ,hrx(tgavelength of 3.0 m and a frequency of 1btb,. 41 tedyay;rx(ghd-8mu2 Hz?

  What is the frequency of a 2.5 m wav6qqgs.fl2t:6mmfn. s e traveling at 1400 m/s?

  A piano string of linear massq4zqjzg ;f48 xp mv 9r6qs5)ap density 0.0050 kg/m is under a tension of 1350 N. What is the wave speegs9j6 pqr5zqp v8mqzaf;4)4 xd?

  A string of linear density 6.0 g/m is under a ten) i8+ z)ytn/fpck,k4njy81 7sj gkhxqsion of 180 N. What is the velocity of propagation of transverse waves along the st+n,ph 7qtj 8 yz kxn8/fc4)gjykksi1) ring?

A wave whose wavelength is 0.500 m is travelibg y(. sx0uaj.ng down a 500 m long wire whose totgua(0j sybx..al mass 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 abdfd8duf8 ryyp3z4 1 5 2.0-m long string fixed at both ends is 200 m/s. Which one of the following is not a resonant frequep4uf3b dzdy 5rfd y881ncy of this string?

  If a guitar string has a fundamental frequency of 500 Hz3w*m*ew b.mo z, which one of the follo*z be.3m*mw owwing frequencies can set the string into resonant vibration?

  A stretched string is observed to have four eq u0higrl4x zdf+pj. -jwls1+9ual segments in a standing wave driven at a frequency of 480 Hz. What driving frequency will set up a standing wave with f p-zwr jhsfdg .+9j4i+x1llu0 ive equal segments?

  A string, fixed at both ends, vibrates at a frequency of 12 Hz with a st(q*ltnu emvx a/ n: s4xaixif90-i5ob27 f(yqanding transverse wave pattern containing 3 loops. Whaaqnomu 4f:*nsfy9/ qia0xvx5 elt7i -xi b2((t frequency is needed if the standing wave pattern is to contain 4 loops?

  A string of linear density 1.5 g/m iouw(fk8v; j6srdz9 () g;ipees under a tension of 20 N. What should its length be if its fundamental (g; ei)u(s w9rvz8keo6fpjd; resonance frequency is 220 Hz?

  Find the first three harmonics of a string of linegf)vg v k /;w7zev36viar mass density 2.00 g/m and length 0.600 m when it is subjected to tension of gwg/zvvik3v e ;7v)6f 50.0 N.

A string of length 2.5hl3-rmoprs yj.ah91y,q+ ;me m is fixed at both ends. When the string vibrates at a frequency of 85 Hz, a standing wave with five 3e ya-o m1rr,jyslp h9qm. +h;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.