The time for one cycle ow8;w*,l hmee rq.m6sr f a periodic process is called the

  For a periodic process, the number of cycles per ;3y vl4vjrlc 0.fiha)unit time is called the

  For vibrational motion, the maximum displacement from the equilibrium point iaru7h dvw9pe8 -f(ip,zo*kg)v5r : ics called ,) a*8o9r(v5w: dpgi7fhcv i- r ezkputhe

  A mass on a spring undergoes SHM. When the 5-e pikpg/t .)q nh-jdmass is at its maximum displacement from equilibrium, its instantaneous vel /5qegn dhjkpi -.pt-)ocity

  A mass on a spring undergoes Sb5fvrju j *0(j78da 4b;ndetsHM. When the mass passes through the equilibrium position, its instantaneous velocit8;5 b7djfj(*bnutrv 4ea 0dsjy

  A mass on a spring underg+qb9ylo/tfk grc 6i0 +oes SHM. When the mass is at maximum displacement from equili 9r+l gykt/0ib 6+oqcfbrium, its instantaneous acceleration

  A mass is attached to a vertical spring and bobs up and down between pointsyo5 wp7w 02fie A and B. Where is the mass located when its kinetic energy isp0ifw 5o7ywe2 a minimum?

  A mass is attached to a vertical spring and bobs up and down bet5+ay+vo .gxdaq( x4ftween points A and B. Where is the mass located when its kinetic energd. aaf+ gtvyqo(x 5+4xy is a maximum?

  A mass is attached to a vertical sprig2vn7 im 2fi(+exs4 eeng and bobs up and down between points A and B. Where is the mass located when its potential energy is a minne +mi es47 i2x2gf(veimum?

  A mass is attached to a vertical spring and bobs up and down between points A anc0 )ixnh2 g;czd B. Where is the mass lci 0h;gxz2)c nocated when its potential energy is a maximum?

  Doubling only the amplitudeannw-i6kqc))b a(79bz1 y drb of a vibrating mass-and-spring system produces what effect on the system's -bb9wnikdaq )7a)b( z rcn16ymechanical energy?

  Doubling only the mass of a vibrating mass-and-spring system produces wha;. gbkdx5exof 6/,sgg t effect xof;6g5gk ,e /sx.bgdon the system's mechanical energy?

  Doubling only the spring constant of a vibrating mass-and-spring sysum1+mgi41+) ixq:r8b4 anzci)wf ikatem produces what1x4ci1 )i um :ib 4gz++)wi8rkafqmna effect on the system's mechanical energy?

  A mass oscillates on the end of a springpi* re euek rarcn31d1h*.2o 9, both on Earth and on the Moon. Where isk9pca1de e2 *roir hn1*.3eru the period the greatest?

  Increasing the spring constant k of a mass-and-spring system ox01(x p *si6x:c44bpdhdxwh causes what kind of change ipc6i x1d*xhh 4w4(b0xops:xd n the resonant frequency of the system? (Assume no change in the system's mass m.)

  Increasing the mass M g.eyfn+ ( *m2fktwy:uaux5 9uof 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 constane.n 5y:9gktwumayf2u*x+ ( uft k.)

  Increasing the ampli9px qymh0(.fitude of a mass-and-spring system causes what kind of change in the resonant frequency of the system? (Assume no other changes qh90f(mi y.xp 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 consv)0vkf qsehq.9q/n i7 f qjy:*ists of a mass M attached to a weightless string of length L. For this ss jvev h9ff*qn iy/7q)qk.0q: ystem, when undergoing small oscillations

  When the mass of a simple pendulum is tripled, trpb1j sa*72pe he time required for one complete *a rj21p e7pbsvibration

  Both pendulum A and B are 3.0 m l zy,mo4ui:2:y8 eqjm bong. The period of A is T. Pendulum A is twice as heavy as pendulum B. Wueyi bm8my ,:z2ojq4:hat is the period of B?

  When the length of a simple pendulum is tripled, the time o-mw)hn; dms lxv66 0r3 (rlhbfor one complete vibration increases by a rsvwh0hr6)x -d3; mo6(bm nllfactor of

  What happens to a simple pendulum's frequency if bothav8(*o;pht9tyw 0m bjjfb+f0 its length and mass are increasp j(f8v0y 0mw tb+b;jt9fa*hoed?

  Simple pendulum A swings back and forth at twiv kvf5 hxg+(hj s(g2dvkp,i03ce the frequency of simple pendulum B. Which statement is cok (,pxv53(jfg hhgksviv 2d+ 0rrect?

  If you take a given pzg- 8wljt xldj.one235 v)v(uendulum to the Moon, where the acceleration of gravity is less than on Earth, the resonant frequency jz3l vj wx(5d -lt8.oue 2vng)of the pendulum will

  Curve A in Fig. 11-1 represe2:v:hhefeq :2jn7f(g wkg dt9nts

  Curve B in Fig. 11-1 repreu+c 8*hsm)- s0xpibwsb3p og+ sents

  Curve C in Fig. 11-1 representsdb,rta 6+3yb6m j .rpq

  For a forced vibration, the amplitc+i*jp2mf3 2i d0 v,qm p.xpvyude of vibration is found to depend on the

  In a wave, the maximum displacement of points o qe.r/iwyb;b; f the wave from equilibrium is ca.;;ibew/q byrlled the wave's

  The distance between successive crests on a wave is 1u7snt1 kg 99x3bb fw+5 slkrxcalled the wave's

  The number of crests ogt 1 b;p75f pbxc0ag1yf a wave passing a point per unit time is called the wave'b ;7p 1cx1btpg0a5y gfs

  For a wave, the frequency times the wavelength is the x6xaqb ibuct;5m* k)pw hbcd,q.0z71wave's

  The frequency of a wave increases. What happens to the distance kpzy:.s3y.0em4zt:d k ce4 hd between successive crests if the speed remains conhy4s kez: t dp04 mey3.zk:dc.stant?

  A wave moves on a string with watyqs2 lu*64 y9r(hu i mzs5p4kvelength l and frequency f. A second wave on the same string has waumiqy6(92k*rsh 44 pz usylt5velength 2l and travels with the same velocity. What is the frequency of the second wave?

  Consider a traveling wave on a string of length L, mass M, and tension T. A:0nsky2+ es.zgsy/a hz1dew, standing wave is set up. Which of the followi,skgyny ezw/h.a1 s2: z0+d esng is true?

  A string of mass m and length L is under tension T. The speeoq-1zlgp:d k(d 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, w o:z(1qg -lpdkith no change in length?

  A string of mass m and length L is under tension T. /g9baohb 6ri-The speed of a wave in the string is v. What will be thhaor -i9/b6 gbe 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 t4 l/xx bf *xm0duby64(uwv +/rjgr-fqension T. The speed of a wave in the string is v. What will be the speed of a wave in the string if r ul(u y6gdf+xr0 *-/f/bxmq 4jb 4vwxthe tension is increased to 2T?

  In seismology, the S wave is a transverse wave. Avgjhh2p k *.1p v1bkd:s an S wave travels through the Earth, the relative motion between the S wave and the pa k.h kvj* b:dpph12vg1rticles is

  In seismology, the P wavagboj djvi3c 1 +o(55w8hj-b re is a longitudinal wave. As a P wave travels through the Earthw cdib+a3b5(1g oj-jjv8h 5or, the relative motion between the P wave and the particles is

  The intensity of a wavvp-e 000ufd3 dgsysjwz4 p7k.abnq/ / e is

  A wave pulse traveling tl /h*yoed ke7-j*8idzzuu0 hnf56s .jo the right along a thin cord reaches a discontinuity where the rope becomes thicker and heavier. What is the orientation of the refl8k hdnf-l60 7/5zde jeyhuujiz* .os*ected and transmitted pulses?

  Two wave pulses with equal positive amplitudes c em;x(z cepciz* 26m+,zedk7pass each other on a string, one is traveling toward the c26m(cez z i7czx kemp,d+;*e right and 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 strin 9i0,lre,6covla 0bey *6s pyqg. The one traveling toward the right has a positive amplitude, while the one traveling toward*9q,rycbl,6 eeyivs0 la po 60 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 ends, oco*khas,l rsr .cs7e 2r9x;pm 2curs when

  If one doubles the tzkokw)u5-b*b:0ko3 ugn y t+bension in a violin string, the fundamental frequency of that string will increase by a factok5u y0ob:t) *z3kbugn+kwb -o r of

  What is the spring constant of a spring that stretches 2.00 cm when a mass o5erzd ol1, b6art-r -cf 0.600 kg is suspendedlb,d6 -trer5arczo -1 from it?

  A mass is attached to a spring of spring con5m1po0d56wc hse *w pct jc8)pstant 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 position5c 1mtc0o w p)hedpwc8*psj56 when it is oscillating. What is the amplitude?

  A mass is attached to a spring of spring constant 60 N/m aleyizkp45+uk6)jd36 az0liiw ong a horizontal, frictionless surface. The spring is initially stretched by a force of 5.0 N on the mass and lez 0 53ia i6)kw4u+i pk6deljyzt 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 N/m along ye kr 1+0zss 2tvni:iiegh(1/a horizontal, frictionless surface. The spring is initially stretched k z/ersi1 h:+21 v (t0eingyisby 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. It goes through 10 complete o v+jxby kp+o;d:npa.acfj7 ,( scillations in 5.0 s. Wbc:,ojxpka nj (;f+dpy7 a.+v hat is the period?

  A mass vibrates back and forth from the free end of .ytlwq)- 9kup an ideal spring of 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 its equilibrium position9 upt qy-.wlk)?

  A 0.50-kg mass is attxtf lbsg5-bsrj6mqx65+5 lr)ached to a spring of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and hr6mlq5r s +bx)l6s55jtfb -gx as a speed of 1.5 m/s at the equilibrium position. What is the total energy of the system?

  A mass undergoes SHM with amplitude of 4 cm. The energyv1xkyu)g89 onpoy 9c 8 is 8.0 J at this time. The mass is cut in half, and9gcvpy uoxo1 8n98)ky 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 along f/g*6hljij,qgo9 pp9a horizontal, frictionless surface. The object oscillates in simple harmonic motiongl p,qi 9/6 hogfjpj*9 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 spriohur(w nd)j86 udwqa 0*y r13bng constant 20 N/m along a horizontal, frictionless surface. The object oscillates in *n (duorur 0 3ww)6ahb81dqjy 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 energy the same?

  A 2.0-kg mass is attached to tg4x 99bh irrt,he end of a horizontal spring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. Whri bhrg49x t,9at is the total mechanical energy of this system?

  A 2.0-kg mass is attached to the end of a horizontal s w8 nqege3w80 pht/*gdpring of spring constant 50 N/m and set intpwhtq*gd88w /0 3eengo 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 o n egezo5bj82dwsv-)7f spring constant 20.0 N/m with an sz 5 bj7)ee ngdw8vo-2amplitude 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 equilibrium pob q+gh99kiw,s7cex.g sition and released. A frequency of 4.0 Hz is observed. What frequency would be observed if the m,hb7 +x w9sicggk.9eqass 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 )upm yxkiv7r: pmzue 53 ,g8r5object is displa e5z3k)ipu x8:u,g57rmprymv 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 10 N/m. The objec4pl u5b hn3gw8t il4wu5gn h8b3p s displaced 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 lbq/-n b *u-zr0fk ;hyslightly from its- *y /-qhb0zfbnur;kl equilibrium position, and released. What is the frequency of its vibration?

  A mass is attached to a spring. It oscille3 1/hx1ccdo9d6udggates at a frequency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What is the maximum velocity attainedcc69g1h xug/d1o de3d by the mass?

  Two masses, A and B, are attb+- htwa 80pnxached to different springs. Mass A vibrates with ampliap0 h+x8bnw-ttude 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 sp5y9x/)f-hwx n gx 6mcuring. In equilibrium the mass stretches 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 periy5mgu 6fxc- n )w9hx/xod of oscillation.

  A 0.30-kg mass is suspended on a spring. In equilibrium thh7hf)d ;bbkk9km4jp5e mass stretches the spring 2.0 cm downward. The mass is then pulled an additbh4md7hkj5 p )kf9;kbional 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 stretches the du)t;h.l9g emspring 2.0 cm downward. The muhgd e .tml);9ass 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 positiok; zceq*r3 cx5 6vfo2un versus time equ cev5ofu 6z3k 2x;qc*ration:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following position versus(uslm5xze rvd+*/9 .xxnz(si time equatz*s(lumer.n(v d +x 9z 5six/xion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple qixaf: u*1ufy-6fjz :harmonic motion obeys the following position versus time equation:-uaf:ff *jx6iy 1u :qz
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple h(f(b-g .xvcqdarmonic motion accordcx f-b. g(qv(ding 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 force constant / ol9xnx+sp4s of 20.0 N/m oscillates on a ho9xn +x4s ps/olrizontal, 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 swin 6snst 8n184gysuie k;gs in 8.0 s. (a) What are its frequency and perio; e1ink48ssu68s gtyn d on Earth?

  A 3.00-kg pendulum is 28.84 m long. What is its period on Earth? jx.p6j(fsgn5

  A pendulum has a period of 2q 3,xu+vy k+qs2l. d zfmtp(0r.0 s on Earth. What is its length?

  The pendulum of a grandfather clock is 1.0 m long. What isrp.ye(r(8f 2ldzwo 0k its period on the Eartrz de0 wf2pk .8y(l(roh?

  The pendulum of a grandfather clock is 1.0 m long. What is its perdo8 a5c ).dnx lpwv*r0aj 4(iniod on the Moon where the acceleratijvn .x8pdrdc4 ona aw0i5()* lon due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg l0:(7 .rv*j 9:t3mbj qpbrwhz6up qdnp+) qiaspherical mass attached to a massless string. When the mass is displaced slightly from its equilibrium position and released, the pendulum swings back and forth with a freque9:bjtap(j.hr : 3p+ lq0qrzvdq)*7p u6minb w ncy 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 2ye,znfs)a5h of a 20-g mass has initial angular displacement of 8.0e. It oscillates wit2a zs, )y5henfh 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 owo5-jq(c4*w pt0 emwtns ih;c 2e.m;pf the wave is 120 Hz. What ismc5ije-q. 2pe*;ww t(p th; cw0mson4 the amplitude?

  Figure 11-2 is a "snapsho (mn++ l4apkc7e yxw-st" of a wave at a given time. The frequency of the wave is 120 Hz. What is thw ap(x ++k syml7enc-4e wavelength?

  Figure 11-2 is a "snapsho:wfthcrr :o3 vh- b4m/t" of a wave at a given time. The frequency of the wave is 120 Hz. What is the wave spee cv:3 h/:wb -frrh4otmd?

  What is the frequency of a wave which has a perio ni q4edx2a8e4d of 6.00 ms?

  What is the period of a wave with a fc*t7: fwqn4w( jwmon - wns+a6requency of 1500 Hz?

  What is the wave speed if a wave lopc8--ik e /dhas a frequency of 12 Hz and a wavelength of 3.0-e8/-pclo d ki m?

  What is the velocity of a wave that has a wavelengthut.ld+byq /u1 of 3.0 m and a frequency of.lyq d u/bu+t1 12 Hz?

  What is the frequency of a 2.5 m wave trav( h5/ehy cvnms4n+k-e eling at 1400 m/s?

  A piano string of linear m *f.ydvo5 k;jvass density 0.0050 kg/m is under a tension of 1350 N. What is jdy ;ko5v*vf. the wave speed?

  A string of linear density 6.0 g/m is under a tension*ulq 3y 78zfn fhhlly.dctu5unwx: 91jy9 )-a of 180 N. What is the velocity of propagation of transverse waves q yljuf.)yc *l:9 h7dwuznauf19x-y h853lntalong the string?

A wave whose wavelength is qw g4;ft4bv +j:fi -8hsl1 3he9lymtr0.500 m is traveling down a 500 m long wire whose total mas39+w1f:j th thi- ebvml ysf 4rg4l8q;s 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 lo h66tvzhso 8 d/j;0ahung string fixed at both ends is 200 m/s. Which one o08h;6vj/atu 6 hhdsozf the following is not a resonant frequency of this string?

  If a guitar string has a fundamental frequency of 500 Hz, which one of the bkdreu nf5/z i8)2s;t8 e-fh 0hmjnt;following frequenciesuej i8h zb-;8nk5/t rtdm;)ffe2h0sn can set the string into resonant vibration?

  A stretched string is obsu85y-ar 1 rgn0ybpnx(wj6j2d6 7z aererved to have four equal segments in a standing wave driven at a frequency of 4r76db85zn y a-pjjw6an0ur 2ygxr1e(80 Hz. What driving frequency will set up a standing wave with five equal segments?

  A string, fixed at both ends, vibrates at a frequencx yce*;1 bg)svy of 12 Hz with a standing transverse wave pattern cob);c*xys1v ge ntaining 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 t k8*1bc4epnx9b kw. 7djpyl gjk2f52 its length be if its fundamental resonance frequency is 220 Hz?elw.j1x84pb7 fckkdt2gb 2 j y9nkp*5

  Find the first three harmonics bk0imu ,6eioz(n6 a3kof a string of linear mass density 2.00 g/m and lengthk6i uzekn o,ima03(6b 0.600 m when it is subjected to tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. When the string vi1xnhoqm(j6+(r wmn2 qbrates at a frequency of 85 Hz, a standing wave with five loopqom6+2 nwjr1nh q(mx (s 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.