The time for one cycle of a perq8dhn 0 wg h,vmjp t4.2va85tsiodic process is called the

  For a periodic process, the number of cycles per unit time is 6,o(y2ssb3 xj(qm0x z ehde /ccalled the

  For vibrational motion, the maximum displacem ce)4euou sor/z;i l.,ent from the equilibrium point is called z)u4;oo r.i/eesu, lc the

  A mass on a spring undergoes SHM. When the mass is at its maximu ojkvb2n*qj;g* bw 0)dm displacement from equi )bj*qvjkn*; o02dwbglibrium, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass passes throuap*l gbfl l3j8*k6cr ;gh the equilibrium position, its inf p3lckarl8j 6g; *lb*stantaneous velocity

  A mass on a spring undergoes S0 k0 z*t68;cttgz gqhbHM. When the mass is at maximum displacement from equilibrium0z8t *0g6gttkz;c bqh , its instantaneous acceleration

  A mass is attached to a vertical spring and bobs up and down between points A a 5f upax4l cl vxslj(qm8byk u(,0s6.;nd B. Where is ; ulmfp.s8ql(0(c ksya xjlu5b6x4v,the mass located when its kinetic energy is a minimum?

  A mass is attached to a vertical spring any wnd1fo6 iyu oew 4 3k,eo0d,5wp*po3d bobs up and down between points A and B. Where is the mass located when its kinetic ey3ko1e, 5d 3i 4f,6wup *ownw0oe dopynergy is a maximum?

  A mass is attached to a vertical spring and bobs up and down betdx d:vgrh(c/xa 82 tri;t6,uaween points A and B. Where is the mass located when its potential energy is t/v agirtc8( d62;dr,uha xx:a minimum?

  A mass is attached to a vertical sglvb c-t3e(k) pring and bobs up and down between points A and B. Where is the mass c 3kveg()l -btlocated when its potential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-spwm(s m/g w.s5oz rt24aring system produces what effect on the system's mec r2w5/gzsmmw(4ta s .ohanical energy?

  Doubling only the mass of a vibrating mass-and-spring system produces what effe*yv z+8 ky-fzo vwfa u/y8)uc;ct on the system's mechanical e) *y8v8c zw;z+ffuok uvay/y- nergy?

  Doubling only the spring constant of a vibrating mass-and-sprim+0 :k9g saunaam jl;v.dsz( 6ng system produces what effect on the s :dgkm a.s(9a+sajvu0;nlmz6 ystem's mechanical energy?

  A mass oscillates on the end of u:8d/ssv uvw3a spring, both on Earth and on the Moon. Where is the period the greatev3sw/s:8 vu dust?

  Increasing the spring constant k of a mass-and-spr 6li4:ar:lqxhing system causes what kind of change in the resonant frequency 6i4::rql axhlof the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a(zqj rs9t ux)db bs58+6sh5rb mass-and-spring system causes what kind of change in the( +r x6tbszjd br9u)5s sbqh85 resonant frequency of the system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a masd0of/ im+ t/ccs-and-spring system causes what kind of change in the resonant frequency of the system? (Ass/fi0doc c +mt/ume 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 awn. yr6c.s w:bttached to a weightless string of length L. For this system, when undergoing small.wnw cs6.ry:b oscillations

  When the mass of a simple pendulum is tripled, the time required 3+zsfvi9ayc9for one complete 9 +9fv3aiczsyvibration

  Both pendulum A and B are 3.0j 9;t/ded6scv m long. The period of A is T. Pendulum A is twice as heavy as pe6vse d;t9j/c dndulum B. What is the period of B?

  When the length of a simple pendulum is ( gz73dcr heh i0, enp0-xpt3atripled, the time for one complete vibration increases by a factor oxtcp33 pig-drz07 e(0h h,enaf

  What happens to a simple pendulum's frequency if both its length and mass are i kqx*s vi f+t48j98tmincrease k*+titf89xj4i8s qmvd?

  Simple pendulum A swings back and forth at twice the freq ao7*s(p-w3d 5 8dk3ushjbtna uency of simple pendulum B. Whk up* st8d-a3o(da7j5b3n swhich statement is correct?

  If you take a given pendulum to the Mou bk0pheetn .97*gs3 non, where the acceleration of gravity is less than on Earth, the resonant frequency of the p3k.ne07tgp buhn9*seendulum will

  Curve A in Fig. 11-1 repre0g8 d:;u n abc(a mo2yw,kz7xrsents

  Curve B in Fig. 11-1 bvy 4x3p ud k(: w*rp1,qt4hwabke2j *represents

  Curve C in Fig. 11-1 reprev7w6a r*yyttghfs7,+ tpm /v(sents

  For a forced vibration,uz* 3gcm . 7+b nae2f9v5oa4vxuug ,ph the amplitude of vibration is found to depend on the

  In a wave, the maximum displacement of points of the wave from equilibrh 1187l cdgswkium is called7 lks 181gwchd the wave's

  The distance between successive crests on a wave is called the wave eq6xlir+ eoq1f 8)ly;'s

  The number of crests of a wave passing a point per unit time is calledupe4 pv dxb)cp,wl c9nk:d7-, the wave':k,b)np-4c,x e97 dpc v luwdps

  For a wave, the frequency times the wavelength is thx3ht upj/x-tf w9w*( ve wave's

  The frequency of a wa 3nz;6hryu f3;b zqza5ve increases. What happens to the distance between successive crests if the speed rbn a5z3;ruz; 6zfhyq3 emains constant?

  A wave moves on a string with wavelength lmfan +3q)+h zth)vp2(2fbl wq and frequency f. A second wave on the samlv()p2 n fq t3hq+w f)baz+hm2e string has wavelength 2l and travels with the same velocity. What is the frequency of the second wave?

  Consider a traveling wave onhp wf27u1myw : a string of length L, mass M, and tension T. A standing wave is set up. Which of the followw71yf2mhuw: ping is true?

  A string of mass m and 4htc */dkybup ( n,z7vlength L is under tension T. The speed of a wave in the string is v. What will be the spuh d/z (k *cbvnp,t4y7eed 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 tens(2 fzto 3zwi2nion T. The speed of a wave in the string is v. Wh2w o2 3(fizztnat 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. The speed of a wavew k,+ do l/abqu 2f2e:ug2ygh:vave ;3 in the string is v. W/g vhf+k2:ygeuu ab22vo a3 w:e ;q,dlhat will be the speed 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 travel ztykg phueh-andgit0(3t+ .,,m2c.vs through the Earth, the relative motion between the S wave and the particlesg2d+t . hay3h,cte0u tmg(, .niz-vp k is

  In seismology, the P wave is a longitudinal wave. As5pob6 6v8nth/fp c+dm a P wave travels through the Earth, the relative motion between the P wave and the partivp +h86n56 db/pftcm ocles is

  The intensity of a w*az4 x)ugs6w nave is

  A wave pulse traveling to the right along a thin cor 7 1re1l3iibr9miq (rkd reaches a discontinuity where the rope becomes thicker and heavier. What is the orientation of the reflected and transmqrml3 r 9iirbie(k117 itted pulses?

  Two wave pulses with equal positive amplitudes pass each other on a string, xecg:91 *ug raone is traveling toward the right and the other toward the left. At the point that they occupy the same region of space at the s:ceg 1*9 rugaxame time

  Two wave pulses pass each other onb6(p (yp l8xk0r 6buyp a string. The one traveling toward the right has a positip ul6x(b 68bpky(rp 0yve 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 same time

  Resonance in a system, such as a string fixed at both q9py2v80/kc.vzr zbpends, occurs when

  If one doubles the tension in a violin strin rfx+mf::.nz 5z6pjphmm e8.fbo)x x,g, the fundamental frequency of that string will increase by a factor ozxxrp):p+ :b5mommh.xzje. ,f f 8nf 6f

  What is the spring constant of a spring that j0gj 6 :ntre m-e4xl/lstretches 2.00 cm when a mass of 0.600 kg is suspendlmn-je/ 0e6jl grxt4:ed from it?

  A mass is attached to a spring of spring constant 60 N/m along a horiwwa qi0eme *o9k)j;m:zontal, frictionlew: 9q*aj0mi o;)wmeek 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 amplitude?

  A mass is attached tou+v w om 3 ve6 kh/vxrrhr5,okl).x1u* a spring of spring constant 60 N/m along a horizontal, frictionless surface. The spring is inio/vxm5rkk h3u6r, o)v1+wu xev. rhl* tially 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 period of oscillation?

  A mass is attached to a spring of spring r g24xtf9cx.2dx3jp g 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 its equilibrium posx3rg 2dtx pjf9.c 4x2gition when it is oscillating. What is the frequency of oscillation?

  A mass on a spring undergoes SHM. It goes through 10 complete oscillatg-gx*s auo,b 8ka8f qy ctia:1p6 oo u,h086iyions in 5.0 s. What is the peri 80oy8it 8kaps q 1iu,uboc:6fa,*ghao- 6ygx od?

  A mass vibrates back and forth from the free end of an ideae3 xfb --odtsv:ipe,82 weq .el spring of spring constant 20 N/m withf-eq8b 23- .ep tew, osdx:vei 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 springso i0ix13h9b u constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5sxhb1 i30i9ou m/s at the equilibrium position. What is the total energy of the system?

  A mass undergoes SHM with amplitude of 4 cmguc . 9 -kzzdjrr:;g:m. The energy is 8.0 J at this time. The mass is cut in half, and the system is again set in motion with am;.rmjrk:g c gz-d: zu9plitude 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 az :4w5ss mt8o97ea raa horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s at the equilibrium positions9aa7oaw5sztr:m 8 4e. What is the amplitude of vibration?

  A 0.50-kg mass is attached to a sprjs4w9t t;jv: cing of spring 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 what location are the kinetic4s ct9vjtj;:w energy and the potential energy the same?

  A 2.0-kg mass is attached to the endp9lpq 3 amgm-8 of a horizontal spring of spring constant 50 N/m and set intm apm3 p9-qg8lo 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 n,/y,uwzznm 0at; y5ja horizontal spring of spring constant 50yuy a,nwnj0/t zmz,;5 N/m and set 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 spring ofp9 seu z2lbnt(v svzlyy.*).1 spring constant 20.0 N/m with an amplitude of 0.250 m. What is the m2z(.l .1pyn zs t b*9yvlsue)vaximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring system is displaced 10 cm from its equilibrium/xw u:aimwhd 9k6.5an position and released. A frequency of 4.0 H/d:kxw95ah 6mi.auw nz 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 attactrbu 6ctxff301jw--yl 5g 9pg hed to a spring of spring constant 10 N/m. The object is displablwt5- pxftug06r 3gcf-y 9j1 ced 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 x. )wi 7f ; w:ureslc+gosnb6410 N/m. The object is dfxoswr:n 6+w.gc7 )4bl ;uiesisplaced 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 co9qjh 8 i)7fczckryl 6mx1g4: cnstant 18 N/m, displaced slightly from its equilibrium qc)y41hfm :xi67gkr c 8clz j9position, and released. What is the frequency of its vibration?

  A mass is attached to a spring. Ipg98i19 oa:adkfwvb 1rue-8d t oscillates at a frequency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium a-d8g 1v:awb9ka dproi f8u 19end released. What is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to different sprilv- v ;f7 6itloe, gft2/mb,qyngs. Mass A vibrates 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 maximumv/f;ft2tl mgyl6i-v o,7qe,b 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 so-lbw1jg 0;t 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 period 01 wjb s-glto;of oscillation.

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass stop,)*qcr13vqll23x l rw+est retches the spring 2.0 cm downward. The masrxev3ls)tlc 3 q2 orq1pl ,+*ws is 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 stretcs9zjw 2 jq:r(dy.gi3t8c dv m*hes the spring 2.0 cm downward. The mass is then pulled ig:*qd . t3drsj8 mwj(vc9y2zan 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 ,3im wveplq,a, ei.z4 versus time equatioiq3.,,eal,eivm zp 4 wn:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion ob ubkn;- s ;7bu 2yaq0ihlr0yz27mcpb-eys the following position versus time equatio2c7 zslipu q h 72km;r; bbyab0-0y-nun:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following i m+p bbz)mu,.position versus time equation:mz)ump b ,i+.b
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring e-j yy xj7:j;v*nqnc8dxecutes simple harmonic motion according to the equation jc8*: qy njxv;-dyjn7 $y = 0.50 \; \sin (18\pi \times t)$ 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 constant of 20.0 N/m osc* j vto+te,s1 *cj5zyp8jxmcn5p;2bz illates on a horiovjcyx mt5cpe2z5 n18 t+;,j sjzpb**zontal, frictionless 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 swingsv5 (0nzhxq 0x hs-dww6 in 8.0 s. (a) What are its frequency and pe w( 0zxdv-nh 5shw06qxriod on Earth?

  A 3.00-kg pendulum is 28.84 m long. What is its period on Earth*wv2fmaioqs/16f x s ,?

  A pendulum has a period ,7-9od nue :quvc*vdzof 2.0 s on Earth. What is its length?

  The pendulum of a grandfathq (dj,ev9 9 pxl:keauq6r:h(e er clock is 1.0 m long. What is its period on the Earpe:dhe:aq9k e,6( lrqx(uj v9 th?

  The pendulum of a grandfather clock is 1.0 m long.6 p a.il.obg:viol/1s e :sn5r What is its period on the Moon where the acceleration v::l/i 1 pebsno6s lo5. iga.rdue to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg pn(rxrb dvx+a;6p 29o spherical mass attached to a massless string. When the mass is displaced slightly from its equilibrium position and released, the pendulum swings back;xdn (po + pv9r2x6abr 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 6wwt zx .ukui 0 uvrxtm y)u8ws5.qq-dp053w)mass has initial angular displacement of 8.0e. It oscillates sptu-yqwwu) z56wv . 8 irxu5)kqx 3w0m0u.t dwith 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" o) nu0ezkyj,nc bt8 n.v+4cl-uf a wave at a given time. The frequency of the wave is 120 Hz. What is )j0e,bc8u.vunnln- tyc4 + k zthe amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency of rpfoz(r:p9 j2 the wave is 120 Hz. What is the wavelej2p( o p9:fzrrngth?

  Figure 11-2 is a "snapshot" of a wave at a given time. The fr ie mqy42lr19xequency of the wave is 120 Hz. What is the wave 19y4xqe2ir mlspeed?

  What is the frequency of a wave which has a period of.lqd3 wx;2 ius 6.00 ms?

  What is the period of a wave with a frequency64/ 0ubf ckevw of 1500 Hz?

  What is the wave speed /6ke n0hjlihkzc)bcx k7 6+m)if a wave has a frequency of 12 Hz and a wavelength of 3.)h/ lm) je+c0h 6bkkick6n zx70 m?

  What is the velocity of a w,nya .kgpviwcy/: szrp6g0:9ave that has a wavelength of 3.0 m and a frequency of 12ypc yrg vz0ng/k.,i:s 9wpa:6 Hz?

  What is the frequency of a 2.8av- u+yg5;z tvi 21ml k 7c5wvopji-b5 m wave traveling at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is under a tension of 1350 N.5:rki-39n zb b*yo2v u9u ogpv What is the wave speekvb9 *9nu3 obvgo2yz5 u-ip:rd?

  A string of linear density 6.0 g/m is under a tension of 180 N. What is the ve -rjxff0.qzutqpsu349pj 8o:y4 * ryalocity of propagation of transversjro4ua.yt0 p9q :rf-zqusx3y 4 * jf8pe waves along the string?

A wave whose wavelength is 0.500 m is traveling down a 500 m long wire w o.+abx6-,cd bx8* oqijgc )kuhr9c;ds :lw,chose total mas:obs 8*6w+cd cxc i r.lxaou;q)jbh, -k9 gd,cs 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 propagationaw*ahy *a8 v/lo,j lib76g r,u of a transverse wave on a 2.0-m long string fixed at both ends is 200 m/s. Whib8oa yguwi 7rl/hv,* a,j6*alch one of the following is not a resonant frequency of this string?

  If a guitar string has a fundamental frequency of 500 Hz, which on 3 4k3hadta7gt horr3*e of the following frea *r t3a trdg4hh3ok37quencies can set the string into resonant vibration?

  A stretched string is observed to have four equal s :0se chqq1d(+7jhjiqegments in a standing wave driven at a frequency of 480 Hz. What driving frequency will set up a standing wave withc1+i hj7jqesqqd:0h( five equal segments?

  A string, fixed at both ends, vibrates at a frequency of 12 Hz with a standinmh).dgyowc kni 9-,0 rsb 4-bhg transverse wave pattern containing 3 loops. What frb9mhd g0)o k4 h.yn ibwc-s,r-equency is needed if the standing wave pattern is to contain 4 loops?

  A string of linear density 1.5 g/m is under ap wgm,i91cph3 *kg:zx tension of 20 N. What should its length be if its fundm* p3gkp,1xhicg 9z: wamental resonance frequency is 220 Hz?

  Find the first three harmonics of a string of linear mxdqt0 1ehtme2ge 3vi/q c xl;n:8-d b-ass density 2.00 g/m and length 0.600 m when it is subjected to tension of 50.0 N vd1h elcxd3 ee2 nttqg/-bxm0-8i q:;.

A string of length 2.5 m is fixed at both endstn6+ nm bx60b kke;d0tw96 r2msgez*q. When the string vibrates at a frequency of 85 Hz, a standing wave wsk60m bbg20 z*n9;n tm deexr6q+t6kwith 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.