The time for one cycle of a periodic proqhpdf -ts:d6 (cess is called the

  For a periodic process, the number of cyclelyi/ mn ji08qr2nyc9 ,e zb lb/o.d7x4s per unit time is called the

  For vibrational motion, the maximum displacement from the equililgj0v4py9: 5sf-i cfsbrium point is calle jp9sl5 fc04g ysvif-:d the

  A mass on a spring undergoes SHM. When the mas e 3kbr)x* x/cwqc33hps is at its maximum displacement from equilibrium, its instantaneous velocitxh)* cw 3 px3qbek3c/ry

  A mass on a spring undergoes SHM. When the mass passes through the equilibri mp x2kptj50tq/i.9yo um position, its instanta qjotk 0 pitm52xpy.9/neous velocity

  A mass on a spring undergoes SHM. When the massd a;yp:z ;gjw; is at maximum displacement from equilibrium, its aj; g w;;ydzp:instantaneous acceleration

  A mass is attached to a vertical s) /(r nepul- w:z*zkbi(zo,rz pring and bobs up and down between points A and B. Where is the massl rwzu,z */b r(ez)(pi:k onz- located when its kinetic energy is a minimum?

  A mass is attached to a vertical spring and bobs up and;wyn4g pyfz8w.. xgi/ down between points A and B. Where is the mass located when i f4wzxn i8gy;/pg.yw.ts kinetic energy is a maximum?

  A mass is attached to a vertical spring and e9kwibos0 :6 lqw3n2r bobs up and down between points A and B. Where is the mass located when its orwl203ewi:nb6 ks9 qpotential energy is a minimum?

  A mass is attached to a verti fyx *;x3lf2*pk 3 .m0ewceocmcal spring and bobs up and down between points A and B. Where0*x3plo w3m.k ffc;2exmc *y e is the mass located when its potential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-spring system prdp5 o(s.ep abclw0v/;.am kn)oduces what effect on the system's mechanical en0/m; c.opad(l5svp wk)nb e.aergy?

  Doubling only the mass of a vibrating mass-and-spring system produces whatk:;9f lwobh-k effectwokl-9:hkbf; on the system's mechanical energy?

  Doubling only the spring constant of a vibrating mass-and-spring syst d 5c89jowf02pte*/ 81fjfn jl/tegkvem produces what effect on the sys /*5v2dftfc9o0 njtp 8 f/8jljw k1egetem's mechanical energy?

  A mass oscillates on the end of a spring, both on Earth and on the Moon. Whkanj0 0z /ry)iere is the period)j rzk00yni a/ the greatest?

  Increasing the spring constant k of a mass-and-spring system causes what kinv3+x f /gds,b;iyz- grd7.cesd of change in the resonant frequency of the system? (.7-bfzdsg v ,3/ds g+cxeyi;rAssume no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system causes what kind of chdj(b+cc;xxd 4ds*fz8/rb0q a./ipo f ange in the resonant frequency of the system? (Assume no change in (f bqdfocx.bzi8* a s04/d;jc xr+d/ pthe system's spring constant k.)

  Increasing the amplitude of a mass-and-spr(yx.2q0 hfy ,xpp1r pking system causes what kind of change in the resonant frequency of thr,. xykf 1pph(pxy20qe 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 consi*3rx2fu: 8g b7v zve7qj+qinfsts of a mass M attached to a weightless string of length L. For this system, when undergoingn 8q7* z3fb 7rxv2vu+jqie:f g small oscillations

  When the mass of a simple pends1/ y h0/z/bu;/kycevpi 1omi ulum is tripled, the time required for one complete vyp0imvk 1;cszui1e// /o/bh y ibration

  Both pendulum A and B are 3.0 m long. The period of A is T. Pendulu;x- j ai2*rezwq) )rtg+ehdy1m A is twice as hj- )z t+*qrg;y)w rx ade21eiheavy as pendulum B. What is the period of B?

  When the length of a simple pendulum is tripled, th mb:5fnf(8mqu e time for one complete vibration increafqb um:(f58 mnses by a factor of

  What happens to a simple pendulum's frequency if both its length and mass are in4ie3g wh+ a-uh:nsdd;cr -:sad4 ud3hgni h+w;eeased?

  Simple pendulum A swings back and forth at tv0hzgaa7pwe/ : -; j8cefse d4wice the frequency of simple pendulum B. Which statement is correca7/gw:-aejdpe4 fs 0 vzc ;e8ht?

  If you take a given pendulum to the cw wq)f2dk) /-g8wrw-wic,41nvc agf Moon, where the acceleration of gravity is less than on Earth, the resonant frequency of thcv)1/n8f2wi )qwwgkc-4cfa-d w w, gre pendulum will

  Curve A in Fig. 11-1 represenl7+3 esxo+ml*wb8lm tqx7p6v ts

  Curve B in Fig. 11-1 represeh,rh6a-o aj7ants

  Curve C in Fig. 11-1 r 8inbw1s f;ig;o;iz, rn-k 3l t4x/wtjepresents

  For a forced vibration, the amplitude of vibration is found to d)x9 -u*mpp:s1faubevt5wra:u 3 b(jmepend on the

  In a wave, the maximum displacement of points of the wave from equilibrium isxw9 k,4/gf6/8fu zl: wvbh a4c;ue iba calledb 8 /4w4 laghz:w 9i/kuvce6ba;, ffux the wave's

  The distance betweenkh abhb78y 03n successive crests on a wave is called the wave's

  The number of crests o p8398bcq)v cv0urvvmf a wave passing a point per unit time is called the wave'u8v ) qmp938 cvbvv0rcs

  For a wave, the frequency times the dtz62ed3 a8n)5 ty(cn fs)cgrwavelength is the wave's

  The frequency of a wave increases. What happens at:k cm u+b2o0to the distance between successive crests if theoamuk:b2 0c+t speed remains constant?

  A wave moves on a string with wavelength l and frequency f. A second wave on th qvp7-wlf0 l,5y1avsqe same string has wavelength 2l and travels with the same velocity. Whatavp 7l lsq05wqy1 ,vf- is the frequency of the second wave?

  Consider a traveling wave on a string of length L, mass M, and ten.yc;ajl 7l b .)xh9cfnsion T. A standing wave is set u;xn.lhabc)lj9 .cy7 f p. Which of the following is true?

  A string of mass m and length L is under ten(cpmn1c xny 1/sion T. The speed of a wave in the string is v. What will be the speed of a wave in the string if the macn(nx/ 1 ym1pcss 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 ccybdy(; ryp+ t;752hc(debw wave in the string is v. What will be the speed of a wave in the string if the length is increased to 2L, with d5bh yprywccet(2yd(b7;c + ;no change in mass?

  A string of mass m and 7(jkh+ le3-ehvxle -rov er97length L is under tension T. The speed of a wave in the string is v. What will be the speed ofe7 r7ve hr xl-(vh9- l+ejoe3k 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 throui4.i44i x vuweiks 9.f :2cbragh the Earth, 4 s.if9xw:euc rvab.ik 4i4i2 the relative motion between the S wave and the particles is

  In seismology, the P wave is a longitudinal wave. As a P wave travelsd+dtbrh7yx )1 through thdy) bt7+d1 hrxe Earth, the relative motion between the P wave and the particles is

  The intensity of a wave ( gy9j3-mgglk spo5b:rqj7 py 37fbs4is

  A wave pulse traveling to the right along a thinx8ga q,b*d, 2l* pksvv cord reaches a discontinuity where the ros*2,va8,dp xlvg b qk*pe becomes thicker and heavier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each other on a stri adsqxr 7: p-g2rf96kfng, one is traveling toward the right and the other toward the left. At the point that they occupy the same region of spacekrsdf pgarq6- : 7fx29 at the same time

  Two wave pulses pass eachu:w.iq91q9saqz*x xs other on a string. The one traveling toward the right has a positive amplitude, while the one trav.iz ux:q1* swq9s9 qxaeling 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 br 1zsc1 ai7e-woth ends, occurs when

  If one doubles the tension in a violin string,ig9v):3s;dp qj )amhd ()rera the fundamental frequency of that string v3p(9i)g a)radsdr:eh ;j m )qwill increase by a factor of

  What is the spring constant of /f f,whjwc/lip7;x.j lg kv( l-ei;,ta spring that stretches 2.00 cm when a mass of 0.600 kg is suspel.,-,ckxjif/w(tl v;/pg w 7ij ;hflended from it?

  A mass is attached to a spring of spring constant 60 N/m along a horizm 5h 5d rxxvlz:a.b(u,ontal, 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 amxvl(55:zham rb dux,.plitude?

  A mass is attached to a spring of spring constant 60 N/m along a horiz1 um7v9hm5*vgg b n4tvontal, frictionless sur9ghmb47 *5nmt vv g1uvface. 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 period of oscillation?

  A mass is attached to a spring of spring constant 60 Nkqav9( 46fcq14rnh sy rzm(x*(pfd- o/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 positionnf 1h(rqc xdq4 4mak(f-(*p6 z rvos9y when it is oscillating. What is the frequency of oscillation?

  A mass on a spring undergoes SHM. It goes through 10 complete oscillatioggz yr)9 0oi8y )c7uvao7velg- ,g.xkns in 5.0 s. What isk )ureg)7a gcyl98ogy x,- 7gz .vv0io the period?

  A mass vibrates back and forth from the free end of,sc nhcqbdp8/rzm 9- 2 an ideal spring of spring constant 20 N/m with an amplitude of 0.30 m. hqz 8rmdncp, 2/9sbc-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 springpheu: oq/ qm-. 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 the touqe o/h:pm -q.tal energy of the system?

  A mass undergoes SHM with amplitude of 4 cm. The energy 9 30c + lw8w;egxnxd xns9:a/gn9c ojxis 8.0 J at this time. The gcx xnwe3w8+j0cgxl/ ason9;9n9 xd: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?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m alon5)7ggqd eept y(3hod;0ley,jg a horizontal, friqt7 d0ggye,le(j 3d ;p y)eoh5ctionless 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 20 N/m av *2d ttclr3 xceg(2i ;vs;:uvlong a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s at the equilt e:u 2vg3v(cix;r*2d ls;t vcibrium 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 constan c*dan/7b wr2ayp2fp:f w41yut 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the total mechanicaf 7br4pw2p*w1 fa/ ycu2 ny:dal energy of this system?

  A 2.0-kg mass is attached to the end of a horizontal spring of spring constantps+ p;.zg 7(/b d;i x7rmueybn 50 N/m and/x.e bi;b zp;+dpgry n(msu77 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 q43 o2efto tkjr6g0r8of an ideal spring of spring constant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kineteo2rf t 0tqjg84or 36kic energy of this vibrating mass?

  The mass of a mass-and-spring system is displaced 10 cm from itb8lxj94oo dyores9aw10 :6 bds equilibrium position and released. A frequency of 4.0 Hz is observed. What frequency would be observed if the mass had been displaced only 5.0 cm and then relea 9 e9xd84 bs1:b oary0doj6lwosed?

  A 4.0-kg object is attached to a spring of spring constant 10 N/m. The obje0m qu0z;uqgm0ct is d qzum0u;00 qgmisplaced 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. hhd5b7n/jalt(8 np w/ The object is disph 5njlh7/tw/n 8apd (blaced 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 csq2.fs(0hxvdo qy/mi( 4j;w konstant 18 N/m, displaced slightly from its equilibrium (o24qvsm;jwdi/ kfxsh(qy .0position, and released. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequency of 1.t ss*ec80xx eazo t5x 4bz:.g,27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What is the maximum velocity attained 4szs : b0,x*5te.cgx e z8toaxby the mass?

  Two masses, A and B, are attached to different springs. Masso dhdvw 48tiw.q ec9*d),l c2a A vibrates with amplitude of 8.0 cm at a frequency of 10 Hz and mass B vch. cai82*dq )wo4w, vdlde9 tibrates 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 sc t)ny+ o etr,nuq;+yvpclt5l1tt450tretches the spring 2.0 cm downward. The mass t;ccq p5n5lyt1+,tre yttl+o4un)v 0is 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 equilibriuht)m9z f5 r. y5o6gesqm the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down ant5eygh65mo f )z9s.r qd released from rest. Calculate the total energy of the system.

  A 0.30-kg mass is suspended on a spring. In equilibrium the mlzbv/.kfa m2cj;v7h+ ass stretches 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 its equativk .f7 h2 bvacjm+l;z/on of motion.

  An object in simple harmonpqr 0rky/ dmqn(p i) *ivd-u:;ic motion obeys the following position versus time equqr*m() :; n0uipd/ydvr ip q-kation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the frs6/hvl 6ce */6pzbrrollowing position versus time equati vesb/6zrch6lrr 6*p/ on:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following p:vi+ s,ekah 86eyk(xj((iyrq osition versus time equat i,kehkq((srvxy6i:ea8 y +j( ion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes +u+wplmj(u04r d* wyjsimple harmonic motion accor(wlu um *dr4jp+0j+ywding 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 forcedxe(4eb6)4 nilqt-hn 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. (Th4iqb) nnx4 d(l6 et-ehat 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 complete5hd p*mzdu -r oljw8( ppib 6j73s;tj4 swings in 8.0 s. (a) What are its frequency and period onjzp36* wpj;osjb5 87h( - dudrli4pmt Earth?

  A 3.00-kg pendulum is cqc*0ok)p,e6a a8b vp eeuv1-28.84 m long. What is its period on Earth?

  A pendulum has a period of 2.0 s on Earth. W dh5:tv5kp (.co 0pbophat is its length?

  The pendulum of a grandfather clock is 1.0 m lju) 6lf3ylx8( g:f cibong. What is its period on the Eafl : gbj3 xul6fi8)c(yrth?

  The pendulum of a grandfathe,f+brs/f(tj ((hy y izr clock is 1.0 m long. What is its period on the Moon where the acceleratio ( brhyf(zft,y+js( /in due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg sp5 9zhyuxre+pqf k/8f;2xc ;usherical mass attached to a massless string. When the mass is displaced slightly from it k;szxefq yx/ 2r9u; 5+8hupfcs equilibrium position 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 angu73vf3n*n x ywdejoh hv8 u52isk.n)v)lar displacement of 8.0e. It oscillateuh )w*)f vh d87onk .3nyijnvve3xs25s 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 c0+1 fq(lrtomthe wave is 120 Hz. Whcfr(0ol1mt q +at is the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given time. The6vaq / aqzu 4moo+: y5ag/6;gtrf 8xna0zlen. frequency of the wave is+za5et4anx66 ;arzo0l qvo8un /y:g/ g qm a.f 120 Hz. What is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given time. +ky:vrfo50ee i.5 xxgThe frequency of the wave is 120 Hz. What f0x:+5 vy oeer.5kgxi is the wave speed?

  What is the frequency of ar rjjx8 ,gl(ij 258vpd wave which has a period of 6.00 ms?

  What is the period of a wave with a frequency of 1500 nndrbr1 v85)4odcf rrt 4t)x)Hz?

  What is the wave speed if a wave has a frejw5e) sumxul1)ut);+j w1 a pfkwg58bquency of 12 Hz and a wavelength of 3.us ;5u1wxl1)k5 tww8 j) +jgpemba)uf0 m?

  What is the velocity of ne*v;yv99mf-;r;gw 2wb n u eea wave that has a wavelength of 3.0 m and a frequency of 1* nf-m9vwy ueee;2n;rgvw;9b2 Hz?

  What is the frequency of actaz)7l ,m at4 2.5 m wave traveling at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m ih, s)-;t8hvea ipxi8 os under a tension of 1350 N. What is the wave speev)iix ;pthao 8,s-h8 ed?

  A string of linear density 6.t86x06p u koyt0 g/m is under a tension of 180 N. What is the velocity of propagation of transvery oux0t6p8tk 6se waves along the string?

A wave whose wavelength is 0.500 m is traveling down a 500 m long wire whose ay89f m+gu2 g:pr amk(totaakyam :mf2ug+(r8g p9l 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 a 2.0-m long string o: f *prx+w-w.ure ,8 iao0tcrfixed at both ends is 200 m/s. Which on-ou8,xrw.f: oi t*ac+w prr0ee of the following is not a resonant frequency of this string?

  If a guitar string has a fundamental frequency of 500 Hz, whlyxt6voq*v. lg:r , q3ich one of the following q*v : grq 6t,lvxoly3.frequencies can set the string into resonant vibration?

  A stretched string is observed to have four equal segments in a standing wavsr v*byr) eu.)vg 5m ,t0gsvryk(6z 2pe driven at at, )r s0sg 6zvv2 .*mube(ryg5 rpvk)y frequency of 480 Hz. What driving frequency will set up a standing wave with five equal segments?

  A string, fixed at both enf(i:qd*x f m q*x:tnu+ds, vibrates at a frequency of 12 Hz with a standing transverse wave pattern containiiqdf: *ux:(ntxq* f+mng 3 loops. What frequency is needed if the standing wave pattern is to contain 4 loops?

  A string of linear density 1.5 g/m is under a tension of 20 N. What should ft,a8od; lld 1vo7 2m jkj2o(lits length be if its fundamental resonance frequency 8ljat,dj2(o kl; d 1vflmo7o2is 220 Hz?

  Find the first three harmonics of a string of linear mass density 2.00 g/m andwh60htexr9vt mfy a*uy;5 1 (h le;tr6a 9hty(0 5wmhu*fx v1yehngth 0.600 m when it is subjected to tension of 50.0 N.

A string of length 2.5 m is fikq1e)d8pn .yf bhcnkst4+:,hxed at both ends. When the string vibrates at a frequency of 85 Hz, a standing wave with five +nst)ec1kdfnp : . bq8 k,yh4hloops 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.