The time for one cycle of a periodic prop6tdhv; 1jphj2 )a q2ucess is called the

  For a periodic process, the nqbkw-eopx.,:7b e fqib;0 r2bo e2gx 4umber of cycles per unit time is called the

  For vibrational motion, t442yj; t.rfgzevfyp 5he maximum displacement from the equilibrium point is called py5f44fg. ;er2yjt zv the

  A mass on a spring undergoes SHM. When the mass is at iyaf sua-x5 ug/)o4kl5ts maximum displacement from equilibrium, i x/lk-u5soga5yu4 a)f ts instantaneous velocity

  A mass on a spring undergoes SHM. When the mass passmcjdj l72 igaoi110 o(es through the equilibrium position, its insgi(m ooj 7a d1c02l1ijtantaneous velocity

  A mass on a spring underg1w 5 uw wfjqlv4v -4v27p54f czpyoh7koes SHM. When the mass is at maximum displacement from equilibrium, its instantaneous accel5wpk12chwv4y qj z-ov4v5wup7 ff74leration

  A mass is attached to a vertical spring and bobwz r(c;pjh s5b5x451ng. u4 ahascf. *dlcx,ws up and down between points A and B. Where is the mass located when its kinetic energy is a minimhd(5n*bzc4x1sh,caf cx.u a sp5.g; j45lrww um?

  A mass is attached to55muhmhxa 43g a vertical spring and bobs up and down between points A and B. Where is the mass located when its kinetic energy is a maximum?mhxa guh35m45

  A mass is attached to a vertical spring aovc/c /, 4xu gzt5j:rknd bobs up and down between points A an5cv, jc 4r zgkx/ou/:td B. Where is the mass located when its potential energy is a minimum?

  A mass is attached to a vertical spring and bobs upjs .cr1zv:zap stw,j/ k,.q-5+ u uanl and down between points A and B. Where is the mass located when its ., anw:.uuj1,5s/vapkrtzjc-+l s q zpotential energy is a maximum?

  Doubling only the amplitu pmpt 81i/)zafoxn;p* de of a vibrating mass-and-spring system produces what effect on the system's mechanical et*xi)mpo8; 1apfn zp/nergy?

  Doubling only the mass of a vibrating mass-and-spri c+tn 7+2qa6qq yrlq.hng system produces what effecty .rn2+aqq t6hc+ql q7 on the system's mechanical energy?

  Doubling only the spring constant of a vibr)-+hwj)4vohc(g 2eneoo8 jp dating mass-and-spring system produces what effect on the system's mechanical ene(pw d2vj-)g oec)e+njo8ohh4rgy?

  A mass oscillates on the end of a spring, both on Earthg0oux:5abrb pf e 7d*/ and on the Moon. Where is the period the greatest gbua 0*ofbd ep5:/r7x?

  Increasing the spring constant k of a mass-and-spring system causwba 10ba0l)n,5xo/b aghx :vjes what kind of change in the resonant frequency of the system? (Assume no change in tho0 0wxvnb :5)bh1 aaax, gl/jbe system's mass m.)

  Increasing the mass M of a mass 5, qtn:fl ft2syp0bc7-and-spring system causes what kind of change in the resonant frequency of the system? (Assume no change in the system's sf0lp7ts2tbc5y :,nf qpring constant k.)

  Increasing the amplitude of a mass-and-spring system ca*do-m6t3s0 s-r;nso1f )3 e e,xuavht aewtc(uses what kind of change in the resonant freae(-sx uo0 - 1t*t omr w3;3)tfeshacvdne6,squency of the 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 consist1 dm/ sg quc74)/ m:rym9duldts of a mass M attached to a weightless string of length L. For this system, when undergoing small) dd4 /mdymu:sqr/1c 9mu t7gl oscillations

  When the mass of a simple pendulum is tripled, the time required for one complea s9px azz2sc9 c i+z3qdz1per;;h-: lte d ez:piclz;939 -hzzas+p2q;r s1ac xvibration

  Both pendulum A and B are 3.0 m long. The period of A is T. 7+*gxiosx0xuv7gs)w Pendulum A is twice as heavy as pendulum B. What is the period of B?o7xxi*u+g7s x0g) swv

  When the length of a simple pendulum is tripledwyitb2kf46 l3, the time for one complete vibration 4klfw36 ti yb2increases by a factor of

  What happens to a simple pendulum's frequency di 0nlyv (d:yv4.l3kmi (lgw0if both its length and mass are incr4ym(dlkydi vnw: lvl0i( 3g .0eased?

  Simple pendulum A swings back and forth at tcb e/- o -suk:5kqgon,wice the frequency of simple pendulum B. Which statement is correc n -qeg -:oucokb5,s/kt?

  If you take a given pendulum to the Moon, where the aclwc :gx1xoy:up8 s26*flqq/z celeration of gravity is less than on Earth, the resonant frequency of the penduluxcw12zl*fpqg6: x:sqo /yl8 um will

  Curve A in Fig. 11-1 represe jpmcis e7 /rwk229pa;nts

  Curve B in Fig. 11-1 repre*j o2 3m1g )i:sdsxfbssents

  Curve C in Fig. 11-1 represents /w+ea0h:*gepyb4 wr r

  For a forced vibration, the amplitude of vnt wj/luh k1)ccg: y16ibration is found to depend on the

  In a wave, the maximum disu6wd/ r-nhe-n4 gxt.,lg+u jvplacement of points of the wave from equilibrium is called the wah4nwe+./ugnurxt 6 v dg,j l--ve's

  The distance between suc6*bv;vy+n 9k64f 6vzzzqu 8vef3xw tacessive crests on a wave is called the wave's

  The number of crests of a wave passin,0s, mrst-4ifbni 3ay g a point per unit time is called the wave'atm- sbs ,i4yn,fr3i0s

  For a wave, the frequency times the wavelength0pw3xxp1n: ,x3 yhelv is the wave's

  The frequency of a wave increases. What happens to the distance between succ(g (*tvjl58ygjsy u-i ut-my-essi--y(ygl 5t8j(ujmu-i*g syv tve crests if the speed remains constant?

  A wave moves on a stringb5 kn:kfl 8;qi with wavelength l and frequency f. A second wave on the same string has wavelength 2l and travels with the same velocity. What is t:5bf q8inl k;khe frequency of the second wave?

  Consider a traveling wave on a string of length L, mass M, and tensi,pjxr1s.w,slhq/ 8p m dqoy:+ on T. A standing wa+,oy:qh ,xsd.mqsrp 8p w/jl1 ve is set up. Which of the following is true?

  A string of mass m and length L is under tension T. The sm)is):m2prsf3 qu0ffl:kz1 c peed of a wave in the string is v. What will be the speed of a wave in the string if the mass of the stf0 :2 ck3srfz uflmi))q:sp 1mring is increased to 2m, with no change in length?

  A string of mass m and length L is undepghiccl9) 4)(c)oe e ir tension T. The speed of a 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 no )ci4h ol)cgcpei() 9echange in mass?

  A string of mass m and length L is under tens 5-k3u snurzzqt *w1;qion T. The speed of a wave in the stri;zq3qt*rzku -5nu w1sng is v. What 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 trave2 f2b8d2bv*qhcxg yq5b*f: e als through thbbvbea22f** gx:hcq2fyd 5 8q e Earth, the relative motion between the S wave and the particles is

  In seismology, the P wave is a longitudigdo xher85: iwk9q1,dnal wave. As a P wave travels through the Earth, the relative motion between the P w eohxrqk98,1dd i w:g5ave and the particles is

  The intensity of a wave i z*-jzu19ocg0 rir jg60xnyl(s

  A wave pulse traveling to the right along a thin cord reachesz*zpqurvjz5 ylk61 9( 9id7 rv:g8 msp a discontinuity where the ropev95i1g8lsv7 z *k j9 zd(q6y:pzumrrp becomes thicker and heavier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positjf,o+j v j1 t0erry 7dfys)0a*ive amplitudes pass each other on a string, one is travr*a,jt7 v e 1rdj)0+sj yy0ffoeling toward the 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 onhm: h 1nk3np;b a string. The one traveling toward the right has a positive amplitude, while the one traveling toward the left ha1 nm n;hp:bh3ks 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, occurs when/ :6:nbw-kkd b 7jnqg7v mtjm:

  If one doubles the tension in lln u8yo6a)i1 a violin string, the fundamental frequency of that string will increase by auay1o6iln l8 ) factor of

  What is the spring const/89/e lsflwwgfik5 3nk(vq ,xant of a spring that stretches 2.00 cm when a mass of 0.600 kg is suspen i9/5 8kw/3lskl,gnfv wxe( fqded from it?

  A mass is attached to a spring of spring constant 60 N/m along a horizontalhzr.a + 7*hx9dz1. 0s wxlyxqo, 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 bw lhdrx*hyo 917+xz0..zx asqack to its equilibrium position when it is oscillating. What is the amplitude?

  A mass is attached to a spring of spring constant 60 N/m along a hos pp f)r6)9vwym)d a2nrizontal, frictionless surface. The sprin2rs6m)9p) fv py )nwadg 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 35n97y.gfq 2mdgwh8/y7alh9xxn l 3ba anp*s of spring 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.59.x*b9nsal2 f qmg8yawn 7a37gp/nx3hhd yl 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. Iw8yn p3jkgk7 t4t+aymv,f 5 l) r.xro)t goes through 10 complete oscillations in 5.0 s. What is the y7 +xg5. yv r tl)43mo8 )jptw,frnkkaperiod?

  A mass vibrates back and forth from the free end of an ideal spri1 ,8w +xqo5zuc(blspyng 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 fro( y+b zxcq5opu8sl,1w m its equilibrium position?

  A 0.50-kg mass is attach(ae9w3doq7i f)cclj) ng5g ny++m ,m oed to a spring of spring constant 20 N/m along a horizontal, frictionless surfamo)w+3 cf59yacmgjn de+ olg7),i(nqce. 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 of the system?

  A mass undergoes SHM with ampsh b+lxu9zxx.er9l3 1litude 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. What is the +lsrluh9 1e 9.x3xxbzenergy of the system now?

  A 0.50-kg mass is attached tnog sz.7,r +)xk ov0vho a spring of spring constant 20 N/m along a horizontal, frictionless sr,)o+ohnv .sk x0z7v gurface. 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 springf1xxk -n9klqol8, 9r l 5r,blh 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 equilibriumf ,9ln-9r8l llk5bxhx1kqor , 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 spring1ylbdb)h:e5h8v 0p4+ia r qpn of spring constant 50 N/m and set into simple harmonic motion with an amplitudq58 by0+rae)nhpidlp1v4h:b e 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 horizontal sprinr1e 4 zk; swa7fkxs(*kg of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. k sr71fs4xk zea w*(k;What is the total mechanical energy of this system?

  A mass vibrates back and forth from the free end mw6yk c4y(r9 rof an ideal spring of spring constant 20.0 N/m with an amplitude of 0.250 m. What is t 469y(kyrm rwche maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring 8i,2+;7furkb mdjttg system is displaced 10 cm from its equilibrium position and released. A frequency of 4.0 Hz is observed. What frequency 8mb, uidt7fkj ;r2g+t 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 const,a)e u1+pwomzant 10 N/m. The object is displac p,1uoamew+) zed by
5.1 cm from the equilibrium position and let go. What is the period of vibration?

  A 4.0-kg object is atxf u)b+3n-nnpt *x 3kjtached to a spring of spring constant 10 N/m. The object is disp- 3bu)pnjk *fxtnn3x+ laced 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, displacefvbe09/gw1 u gzci)h,d slightly from its equilibrium position, and released. What is the frequench1v/ gu)egwz9ib0 ,c fy of its vibration?

  A mass is attached to a spw +roedjn u r.o/9o+j*ring. It oscillates at a frequency of 1.27 Hz when displaced a distance of 2.0 cm from equilibri*urrwj j.o/ 9eon+ od+um and released. What is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to different (d p;;bjrgzqaz: 9mz *springs. Mass A vibrates with amplitude of 8.0 cm at a frequency of 10 Hz and mass B vibrates with amplitu( ; 9dzzjm: pa;r*qzbgde 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 suspen( .ki5z utz.uided on a spring. 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 reik. (zu.uitz5 leased from rest. Calculate the period of oscillation.

  A 0.30-kg mass is suspe8xg vqam+di 3zf 0;3aznded on a spring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 mfvz8aa g;xi3z3+ 0d qcm 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 mas3r : tkzgdxf bt9mq7o97*2rfes stretches the spring 2.0 cm downward. The mass is then pulled azorfm3tx 2 r9*gd ek:79b q7tfn 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 vers3xy2/xakl6od gffs g(vmp0 +6us time equatix6 o/v lx(6mafy p3fkd0 2+gsgon:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple 9mzv fjgf,x uj:s1:q.harmonic motion obeys the following position versus time equatiom f 1x9:j.,z sgqvfju:n:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following positil eixl5i3 i;-pon versus time equati-;iei ip5xl3 lon:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring exo( ro okb/w2;qgb-) uqecutes simple harmonic motion according to the ekoq-) 2q oobu/;g wrb(quation $y = 0.50 \; \sin (18\pi \times t)$ 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 cons/yygk lze 6,6+l8m.-0sb jvzv/ +v vnwyif5 pstant 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 sty// svfglpv b+ -ys,w0iz6 l8j5z+em6.vvnyk retched 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. (a) What are its frequency and7lvi1m4o:zu w period on Eart l:7mizwo1u4 vh?

  A 3.00-kg pendulum is 28.84 m long. What is itrm/xx g*qs ;r8s period on Earth?

  A pendulum has a period of 2.0 s on Earth. Wha y)x++he7 czfyp)w 7udt is its length?

  The pendulum of a grandfairdp/sn:))j bvcl v o83u9,unther clock is 1.0 m long. What is its period on the Earthvod )r 39,:ncijbl/ uv 8p)nsu?

  The pendulum of a grandfather clock is 1.0 m long. Whapz 6++wedgk l 5dk)z;xt is its period on the Moon wherex5)eg+d z6dw ;+ pkzlk the acceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attached to a massless x(c7hgb9*x xfstring. When the mass is displaced slightly from its equilibrium position xhc(xxgb7 f9 *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 ab32bd q6;):jat14xj- drr4pmz no mwg 20-g mass has initial angular displacement of 8.0e. It oscillates with a period of 3.00 s.;qbo -d3m 1 dt4pja2j)mrn:4wgbxz6r
(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 7rctz58bbd.6)th g 1junlmh*wave at a given time. The frequency of the wave is 120 Hz. What is the amplitude? 1gl.r6dt 5)7hnbjczm ub* 8ht

  Figure 11-2 is a "snapsho.h)9oh kc fad+7gj9j qt" of a wave at a given time. The frequency of the wave is 120 Hqk9d 7ja9ho +g).fjhcz. What is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequencywnc:ri bf de.3,3he2o of the wave is 120 Hz. What is teh.:o,weric33 dfb2n he wave speed?

  What is the frequency of a wave which has a period of 6.00uqm 7n z:pw1x,ybil8ms j xfm6.gu-60 ms?

  What is the period of a wave with a mv8ufr1l3 4tdj2ogn1 frequency of 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz and a wavelength 2em3ui )vs9i hof 3.0 m?h9s mi2vu3 ei)

  What is the velocity of a wave that has a wavelength of 3.0l))qg r 4;drgr-gjk;h m and a frequency of 12 gr -l h; d)kr;r4)jgqgHz?

  What is the frequency of a 2.5 m wave trave octgn8mxg2( -ling at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is under a tension of 1350 N. 44zo;o3 r soy8wk ardp;2ok5z z kpdo5 z3s4o orwo8k;2ar4;yWhat is the wave speed?

  A string of linear densityd*r u*zodhj a)y*a 67u 6.0 g/m is under a tension of 180 N. What is the velocity of propagatio * 6odh7yj*dr* auu)azn of transverse waves along the string?

A wave whose wavelength is 0.500 m is traveling down a 500 m long wirelyk0bkxo h3 g9,d x xp+s9..kjlmh,5x whose total mass ,x osb l.kkl .xkg5x039ydp,mh x j+h9is
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 e6ueiodbr d8z,s:dr x0k o;v,, 9c,g rwave on a 2.0-m long string fixed at both ends is 200 m/s. Whic zd r,80 ob:s,u9eg;rxi kred,,dcv6oh one of the following is not a resonant frequency of this string?

  If a guitar string has a fundamental frequexzpyof),8gqei y mde; izm -4b-)*7td ncy of 500 Hz, which one of the followb py8etxm fed)i,ym*d)g4 7zoi-- ;zqing frequencies can set the string into resonant vibration?

  A stretched string is observed toz. zp2pn 1 ub/x0xe.dh have four equal segments in a standing wave driven at a frequency of 480 Hz. Wu z0zhx nxp2 b.p.e/d1hat driving frequency will set up a standing wave with five equal segments?

  A string, fixed at both ends, vibrates at a frequency of 12 Hz wif:q e b)rhd7qu)ch;ramt,k xx7a )6n 5th a standing transverse wave pattern c: )mehaqa7db ux)trk,n 5cf6q 7; r)hxontaining 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 2) 0ws)oo9 fgf7nbw2de 0 N. What should its length be if its fundamental ) 0w9ofew obfdsng72)resonance frequency is 220 Hz?

  Find the first three harmonics of de .. g8rjpvj 6-cq ;.auvkt1ma string of linear mass density 2.00 g/m and length 0.600 m when it is subjected toqv .j.ar.1d8etgkc-um6j ;vp tension of 50.0 N.

A string of length 2.5 m is f -g rk;e6e:yenixed at both ends. When the string vibrates at a frequency of 85 Hz,e-;e re6gynk : 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.