The time for one cycle o n u:f:o2(hwwif a periodic process is called the

  For a periodic process, the number of cycles per unit time is calledf ,ik hs* gytg5rm ,yfx2+k0-e the

  For vibrational motion, the maximum dismhn cxu.v 2*tjv9. ny7si dw;/placement from the equilibrium point is call92 .7/nuthwc vsi.dm*x; yvjn ed the

  A mass on a spring undergoes SHM.i ylpkx .8r1:1 mc(wnwqhc28 t When the mass is at its maximum displacement from equilibrium, its ins(tp 2nx. :18 lwwh8mkcyrc1qi tantaneous velocity

  A mass on a spring undergoes SHM. When the mass passes through the equil loo-n,dwu8vn( zr 9.aibrium position, its instantaneous vurn(8n. ov-odwl z,a9elocity

  A mass on a spring und3t 6j4o)u5ft* : kjdwyt+wtouergoes SHM. When the mass is at maximum displacement from equilibrium, its instantaneous acceleratiftjju4k3tt+o:6 u5w*ody tw )on

  A mass is attached to a ver;kh :q2pgbj81ih 6 rditical spring and bobs up and down between points A and B. Where is the mass located when its kinetic energy is a p jg26 :ri;dqih8k1hbminimum?

  A mass is attached to a vertical spring and bobs up and down betwy +uyv5a be+*1carfv6-mi1 e heen points A and B. Where is the mass-rh*ey11+v ba5ciuv ef m6a+y located when its kinetic energy is a maximum?

  A mass is attached to z9i-07eecx j ga vertical spring and bobs up and down between points A and B. Wzex7j- g0ie9chere is the mass located when its potential energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down between points A ar zw(g*rl 7t wj(v jztz19l-f4nd B. Where is the mass located when its potential energy iswwzzv1 49*ttjrr z (7 (f-gjll a maximum?

  Doubling only the amplitude of a vibrating mass-and-spring sxbwtw 2mz1 *3 f;c5b08prlsau.-r e zbystem produces what effect on the system's mechanical energy? z 3swep -8zb 20f*tu5wcblr1xa r.bm;

  Doubling only the mass of a rgd-snb//v f *vibrating mass-and-spring system produces what effect on the system'/ *vnsd-/ brgfs mechanical energy?

  Doubling only the spring constant of a vibrating mass-and-sprlo8y af5ay/y3); vgch*gz rx5ing system produces what effect on the system's mechyzvc xyg) 35a hl 8oya5f*rg/;anical energy?

  A mass oscillates on the end o+gu 5m jw0wb;hplb g3:f a spring, both on Earth and on the Moon. Where is th5+m ub3bh;0:w lpgwgje period the greatest?

  Increasing the spring constant k of a mass-and-spring system causes wh-v yi4xh;a ot9at kind of change in the resonant frequency of the systexavih;4o9 - tym? (Assume no change in the system's mass m.)

  Increasing the mass M qwmxpk7x 0;* f1xoy5nof a mass-and-spring system causes what kind of change in the resonant frequency of the system? (Assume no change in the system's spring consq;x w7pofxn0 *51mxyktant k.)

  Increasing the amplitude of a mass-and-spring system causes w5m pbr by:qsqc/*qo60 oqps;+hat kind of change in the resonant frequency of the syp /r6m0;yqsq boq*o q pc+s:5bstem? (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 len8h, j hh-gqyp5gth L. For this system, when undergoing small oscilla5p y-qj8ghh,h tions

  When the mass of a simple pendupbx84i.+dnvyr/tzk .* dvm )xlum is tripled, the time required for one complete vn.4i.vymd *t8dx +zp)vr/bkxibration

  Both pendulum A and B are/*,(isq /gsmei.yx(+yv8ou :w cawyp 3.0 m long. The period of A is T. Pendulum A is twice as heavy as yy* pv ( x8wise(o /gcai ,+:.qy/smuwpendulum B. What is the period of B?

  When the length of a simple pendulum i -s w1azw78isx:tnsv2a(gk +ds tripled, the time for one complete vibration incrv-i7 ag:kxw8dsa+sz s(t2n w 1eases by a factor of

  What happens to a simple pendulum's frequency if td5b5a :vk;ng6 p7uvxlxp2v 7both its length and mass are increase25p :ubgln xa;kd6 vvxt577vpd?

  Simple pendulum A swings back and forth at tw0r:)2mra s7aoobw.uk ice the frequency of simple pendulum B. Which ).7 rba20arm wku: soostatement is correct?

  If you take a given pendulum to the Moon, where the acceleration of gra0g5otk s(r9m eeeg id,+) ls,rvity is less than on Earth, the resonant frequency of the pendulumrdsgr (s+e k 9)eti0e5l ,gm,o will

  Curve A in Fig. 11-1 rx( o2 uha,bh4n pukc**epresents

  Curve B in Fig. 11-1 r8oq.m scml.7ax2 : g *oaoiun3epresents

  Curve C in Fig. 11-1 repres30c-g-q*em zl 1p rkkaents

  For a forced vibration, the amplitude of vibration is found qb eqth 2xl*wzluudoc (v04) a.: v(a6to depend on the

  In a wave, the maximum displacement of points of the wbj+*x* vv(pds 1mvx- fave from equilibrium is called the wave'fvv*smb1pv x -x*(d+ js

  The distance between successive c q+bm7ub 6xxey( 3pprs 08v,bvrests on a wave is called the wave's

  The number of crests of a wave passi y .m:6yvdeqm v/98uzeng a point per unit time is called the wave' :e/9emvm u8dz.yvy6 qs

  For a wave, the frequency times the wavelenq/fi ty6y-anoo4j* n5gth is the wave's

  The frequency of a wave increases. What happens to the distance be,km7lzl :bv o0z7 -vkx/axu wjf8a6y/ tween successive crests if thvk 0fw/k:7 malx 7,ou x/jzbl6-v8azye speed remains constant?

  A wave moves on a string with wavelengthq ,hdbp7k.cw 9 l and frequency f. A second wave on the same string has wavelength 2l a ., cdkw97hpbqnd travels with the same velocity. What is the frequency of the second wave?

  Consider a traveling wave on a s hsdwhdu7 g 61(wfc8-vtring of length L, mass M, and tension T. A standing w6usd 7vgcd( fhw1h8w-ave is set up. Which of the following is true?

  A string of mass m and length L is under tension T. The spe c1wj eea;p98fj-d lj4ed of a wave in the string 8 ej1ce4jw;lj- fd9p ais 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 oy 6rkesv)phig76z1j+t1d*q m f a wave in the string is v. What will be the speed of a wave i6dvis1e1 k+y z67mphjgrq *)tn 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 n0es34c4 zft;4uc(5ni f0 ntn:pns 0j+xqrroT. The speed of a wave in the string is v. What will be the speed of a wave in the s4scr30rn o;x:n qsizf4ct e+ 0jf4 5tunn0n( ptring if the tension is increased to 2T?

  In seismology, the S wave is a transverse wave. As an u:lq:.p2sl. +wng jb mS wave travels through th.lm spnu . l2:qwj:+gbe Earth, the relative motion between the S wave and the particles is

  In seismology, the P wavmm:/kr0gu*0 tmora )ae is a longitudinal wave. As a P wave travels through the Earth, the relative motion between the P w* ak /)r0mrguto0:am mave and the particles is

  The intensity of a wave isxkropa 4hk(2 2abl8ex0y+gt6

  A wave pulse traveling to the right along ;nvk( r.srakca z -l2lw* f1)ia thin cord reaches a discontinuity where the rope becomes thicker and heavier. *a1 a-w f c2(k)r;.szkvlinr l What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes npu+*hjg l:/ st*nwi9 pass each other on a string, one is traveling toward the right and the other toward the le9ls *th:unj+ /gi np*wft. At the point that they occupy the same region of space at the same time

  Two wave pulses pass each other ontu,v57vjlv . q a string. The one traveling toward the right has a positive amplitude, while the one traveling toward the left has an equal amplitude in the negativeqjvlv,7u . t5v 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, )y- 56hi8 c2odg)tmhvtfcq1 t occurs when

  If one doubles the tension in a violin string, the fundamental frfe(0t6hb7x g2byu/rggr b jpb5vylm8g- s4*+equency of that strin2gjger0b pu rg8s*hg f6 b5/ (+y b-blvm7xyt4g will increase by a factor of

  What is the spring constant of a spring that( giz09zexz b+ stretches 2.00 cm when a mass of 0.600 kg is suspendezzex ib(09gz +d from it?

  A mass is attached to a spring of svt 8fhna 35a; b a-;r4bdd,ohgpring constant 60 N/m along a horizontal, frictionless surfabr;bgt8 v d;,aafh3h5n-d4a o ce. 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 to a spring of spring constant 60 Nl1rpzq( o7pbnua b.)qf 9c: 4v/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 is1c u paq9bvfq7 z(o4n):.lpb r oscillating. What is the period of oscillation?

  A mass is attached to a spring of ddi+0vyh 94ncspring constant 60 N/m along a horizontal, frictionless surface. The spring is initially stretched by a forceydvc4 n 9+h0di 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. Icman3h4.ph 4 ft goes through 10 complete oscillations in 5.0 s. What is the p cf 3m4p4anh.heriod?

  A mass vibrates back and fo khqb)elhh 826rth from the free end of an ideal spring of spring constant6lhkq8he)h 2 b 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 position?

  A 0.50-kg mass is attached to a spring of spring ct/s o ;v9eb2txonstant 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 the total energy ot9e/ 2btv ;osxf the system?

  A mass undergoes SHM with amplitude of 4 cm. The energy is 8.0 J at this time. 4k e ui2k7ngt1m8fna. 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 now?18 fk un.4gn2t 7makie

  A 0.50-kg mass is attached t3cv aa a/ma9 lbx9np78o a spring of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1v93amc 9alpn87a/ba x.5 m/s at the equilibrium position. What is the amplitude of vibration?

  A 0.50-kg mass is attached to a spring ofqab8 hu+ww *.j 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/8qa.h +bujww *s at the equilibrium position. At what location are the kinetic energy and the potential energy the same?

  A 2.0-kg mass is att awkx* q5(vzhao5+a7vqq(s n.ached to the end of a horizontal spring of spring constant 50 N/m and set into simpowa*.zh 5ka5a qq7q sv+( nvx(le 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 e;a.dz32wd+d -wnk kn horizontal spring of spring constant 50 N/m and set into simple harmonic motion with an amplitude 3zwd;2 kd.d-a nn ewk+of 0.10 m. What is the total mechanical energy of this system?

  A mass vibrates back and forth from the free end of a,u7a 4r2cogmhn ideal spring of spring constant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kinetic energy of this v,ca4 h2g o7muribrating mass?

  The mass of a mass-and-sprinkx1cgt:( 7vv yg system is displaced 10 cm from its equilibrium position and released. A frequency of 4.0 Hz is vtvc1yg:x k7(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 attached to a spring of spring constant 10 N/m. The object p cfam 4lfrp--h9 +5qki lf-amq pcf -5p4rk9h+s displaced 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 ob p0jz g-ne;u)aject is displaced byzu-;0aepj )g n
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 slightlnmv *p66q4jwuo( smj.g k9n5qy from itm *.6(n6gpqswv 4mjojq 9ku5n s equilibrium position, and released. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates aja.tle o :4f,l; fx:nwt a frequency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What is the maximum velocity attained,lw4:xa foelj t f.:n; by the mass?

  Two masses, A and B, are attached to different springs. Mass A vibrates wit kzv e+d-ccub:*-0t sih 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 speed of A compare tk dsz 0iu-b:*vecct-+o the maximum speed of B?

  A 0.30-kg mass is suspended on a spring. In equilibrs)c .fhsmndtd22;e n.ium the mass stretches the spring 2.0 cm downward.dde .c.nt22sn;hsm)f The mass 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 sprv kbo k:9dtz ( jolxz a;;k93vq2:vbm(ing. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is the;j2(kvvl:q bovxk3:o tbm;9z( z9dakn 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 strl 7quick na-n7-l h6b/etches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and released from rest. Write down i76ulcn - qh-/ 7nabiklts equation of motion.

  An object in simple harmonic motion obeys the following positiono:1g yna8h3l e versus time equation:n3 e81yghalo:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following position versus ti* yzf+;pxb xjn q6oje 4*gx5)lme equatz pf)54 **xyl eoqn 6xj+;xbgjion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the fom:k ym7vv26 fillowing position versus time equati6fiy27:v mkv mon:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring exr npm9 rrf7-wk5i nc*i+.( yjuecutes simple harmonic motion according t9.j*wfp- ukn myr5(n icirr7 +o 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 forl/*cecv4b*fes j, 6 tace constant of 20.0 N/m oscillates on a horizontal, frictionless track. At t= 0, the mass is released from rest at x= 10.0 cm. (That is, the spring is stretched by 1 tje fs4 bv/cl*,e6a*c0.00 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++rkiqm :g61 jnmhr 6a its frequency and period on Earj6 mh6an kg+q 1rm+i:rth?

  A 3.00-kg pendulum is 28.8+c; u5euhn8m m4 m long. What is its period on Earth?

  A pendulum has a period of 2.0 s on Earth. W(amrvq1zc9 p8 hat is its length?

  The pendulum of a grandfather clock is 1.0 m long. What is its periiq( fpi i/n/xg p/92c4 b(dnupod on the Eart 2xd qi /ibpig/(cnfp(pn/49uh?

  The pendulum of a grandvpyy2hc59t t2father clock is 1.0 m long. What is its period on the Moon where the acceleration duvy tc922ypth5 e to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consistsq(e *(ge jeju6 9jb0pjpve8/ h of a 0.25-kg spherical mass attached to a massless string. When the mass is displaced slightly from its equilibrium position and reh6bu(e09 ej (/8vqeep jj *jpgleased, 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 angular divg4u hr016v4jwe i/gm splacement of 8.0e. It oscillates with a pvgim1 4uvw/6grh04ej eriod 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 ed vxha.a n4xf;5ch sp a.4w53frequency of the wave is 120 Hz. What is a;hv.a5c h.4xp5xfsa4 dn3e wthe amplitude?

  Figure 11-2 is a "snapshot" of a wav + tqng:hxp8/wlto7o-e at a given time. The frequency of the wave is 120 Hzw7:8 oh o q+gttl-nx/p. What is the wavelength?

  Figure 11-2 is a "snapshot" of a w 0ye *cob957v 7w0y*t 6gox,gd jahffoave at a given time. The frequency of the wave is 120 Hz. What io7t,7 6 of9hvc y*ed5wfx*j b0g 0ygaos the wave speed?

  What is the frequency of a wave which has a gkwn8yfq+h (dn4*;yn6i co-j period of 6.00 ms?

  What is the period oqgh w dzc -t269/ c6x)m- gr.ph:vbuquf a wave with a frequency of 1500 Hz?

  What is the wave speed if a wave has a fresoa:w xj-1dw-quency of 12 Hz and a wavelength of 3.0 m w 1-d-jsax:wo?

  What is the velocity of a wave that has a wavelength of 3.0 m and a frequency5r1 c0zle3lkm of 12e53c1rl 0l kzm Hz?

  What is the frequency;k hzhi8wz z)sk+j4gp9 afd:, of a 2.5 m wave traveling at 1400 m/s?

  A piano string of linear) rc .*2g9 nzxzt4urlbhp5p0 c mass density 0.0050 kg/m is under a tension of 1350 N. What is thez 4nt)2*x.c 5urrpcph0l 9 gzb wave speed?

  A string of linear density 6.0 g/m is under a tension of 180 N. Wh0:-ek w v6tz8smy lk2 kx0m4msafcx62at is the velocity of propagation of transverse waves along the stys mv k:fl xx z20ms8-ckt0a642w e6mkring?

A wave whose wavelength is 0.500 +06 ip ufope*ia owa95m is traveling down a 500 m long wire whose total mas pof09*aa iwu+ poe6i5s 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 y2 x/v:r xibr9o -mht1wave on a 2.0-m long string fixed at both ends is 200 m/s. Which one of the -/vx2r ro 1i:tm9hbxyfollowing is not a resonant frequency of this string?

  If a guitar string has a fundamental frequency of 500 Hz, whel07 w8v zebk.fd9:mzich one of the following f0ze98bk.dfl m 7 zwve:requencies can set the string into resonant vibration?

  A stretched string is observed to have four e) acfd*b sr2;tqual segments in a standing wave driven at a frequency of 480 Hz. What dr rs*cbt);da f2iving frequency will set up a standing wave with five equal segments?

  A string, fixed at both ends, vi sf963a)cf pblbrates at a frequency of 12 Hz with a standing transverse wave pattern ff6la 9 sc)bp3containing 3 loops. What frequency is needed if the standing wave pattern is to contain 4 loops?

  A string of linear densit6 qpt5x3m s2/w.lbhg/th2:i c1n fvig 8nj*zjy 1.5 g/m is under a tension of 20 N. What should its length be if its fundamental resonance. i56n jfx hjq*h/8tinlpg sc:1v2m2z3wb/g t frequency is 220 Hz?

  Find the first three harmonics of a string of linear m)g qs5*k5b ralass density 2.00 g/m and length 0.600 m wh55)qgla kb*sr en it is subjected to tension of 50.0 N.

A string of length 2.5 m is fixed at bgp5p 1 s:r;nsyoth ends. When the string vibrates at a frequency of 85 Hp:rp5 y s1;sgnz, 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.