The time for one cycle of a peri8cr0 pke2xhod 0ml9v*odic process is called the

  For a periodic procesf su6nt9;+22 (h+yy z4pzrwugo ufrf(j.e-wbs, the number of cycles per unit time is called the

  For vibrational motion, the maximum displacement 1 j w7nrif3x8pfrom the equilibrium point is callewi3nj8 x1r 7fpd the

  A mass on a spring undergoes SHM. When thd6 pnsqb4 b3;cljd4e+)( eryze mass is at its maximum displacement from equilibrium, its instantaneous velocisjb4ecb6(e r +zd34pq ;) ylndty

  A mass on a spring undergoes SHM. When the mass passes through the eq nuzh3urtmw,7 2n/h,z uilibrium position, itt ,3w7uh2umn nrz, hz/s instantaneous velocity

  A mass on a spring undergoj-o ;y4ow4pilu j3hylq( o /,jes SHM. When the mass is at maximum displacement from equilibrium, its instantaneous3,uj( ql / oy;o- wlj4iyo4hjp acceleration

  A mass is attached to a vertical spring and bobs up and down bet-1 a78b:(cw:xswicsnx y re. hween points A and B. Where :bwwxsey 1.hc (r-87axn i:csis the mass located when its kinetic energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down between poinbttl/x4 24rcag -+c fdts A and B. Where is tg bf+2 xc4tc- drt4la/he mass located when its kinetic energy is a maximum?

  A mass is attached tyt*2a x4jmh u9h; inj-o a vertical spring and bobs up and down between points A and B. Where is the mun4 *thi j9-j;axymh 2ass located when its potential energy is a minimum?

  A mass is attached to a vertical sprhvovb i 8+.-f3ye,a;a * fqyuxing and bobs up and down between points A and B. Where is the mass located when its potential enerxbeu*; q- i, .vyff+haov3ay 8gy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-spring system p3-q 1x0 mes;rrvc) pawroduces what effect on the system's mechana v3wc;-1qpxr0ms) erical energy?

  Doubling only the mass of a vibrating mass-and-spring system producesz rt,i kqxr+ nz7c::3t what effect on the system's mechanical enercz:nzqr ,tti 3k7: xr+gy?

  Doubling only the spring constant of a vibrating mass-and-spring systodgxod1/+x7 7 s8j -tvh*f9f kwttfq2 em produces what effect on the system's mechanical energy?2fx1-fog*/sd xd 8+9 v7ttwtfhkqjo 7

  A mass oscillates on the end of a spring, both kaq 0zit;x 64i,7 lmvcon Earth and on the Moon. Where is the period the;caiqti7 0mk l6v ,x4z greatest?

  Increasing the spring constant k of a mass-and-spring system caus*fys;gq ch) jv y8/6zbes what kind of change in the resonant frequency of the sg 68z;y cbqv)yhj *sf/ystem? (Assume no change in the system's mass m.)

  Increasing the mass M of cy( ui+iai;km5t:q0ea mass-and-spring system causes what kind of change in the resonant frequt:5caieiu+ ym0 ikq (;ency of the system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system causes what ki0x.e*h zmhwa :sv30wynd of change in the resonant fryw weh vm0x0h:s* za3.equency 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 con v9p c-9bcb maba)2.xkox(g1 usists of a mass M attached to a weightless string of length L. For this syst gcmxu29kc1x-bv( b.bpoa9a ) em, when undergoing small oscillations

  When the mass of a simple pendulum is trc 5h; ie d)3wtzt hu+7.cgcu(nipled, the time required for one complete nz;ech3cuc di+7.g(uw)t ht 5vibration

  Both pendulum A and B are 3.0 m long. The period of A i*onx o8f0q6mw9v7gn *hq -jnis T. Pendulum A is twice as heavy as pendulum B. W6how 0gqinn9v -m*x*7fn j8 qohat is the period of B?

  When the length of a simple pendulum is tripled, the time o v2c::b pb0)fc-ed p7h/lz ebfor one complete vibration increases by a factoh:f)e/0dvccpp lbo 7z-2eb:br of

  What happens to a simp 0xmn-1koat4d2mj5olle pendulum's frequency if both its length and mass are increaseooan-tm2dm10 l4x k5jd?

  Simple pendulum A swings back * )w4 qv;ve /)8j epuuty/cja xgz-+bdand forth at twice the frequency of simple pendulum B. Whic )x *ajjye;4//) gbwpv u+8cvq ze-duth statement is correct?

  If you take a given pendulum to the Moon, where the acceleration of gravity niuv(+ 2zo d4lis less than on Earth, vudzl n+42i( othe resonant frequency of the pendulum will

  Curve A in Fig. 11-1 repcnfw2qe o965v3r:i cg resents

  Curve B in Fig. 11-1 repreb1.t20q fipy fsents

  Curve C in Fig. 11-1 n7 k gocy+jlzh.-( ;uirepresents

  For a forced vibration, the amplitude of vi qknod4sz6 (vtq+ ;km0bration is found to depend on the

  In a wave, the maximum displacement of points of the wave fro3i7+*roks doe 1;tx:3aq+i f+gsy h snm equilibrium is called the wy ++th*7dg:so q rs1f;s+xii ena ok33ave's

  The distance between successiu4xwnlh5jqk/-;72oe 1q lx )jwog c.lve crests on a wave is called the wave's

  The number of crests of a wave-q+wfyfqsi , fg8,j m5 passing a point per unit time is called the wave'wifym 5 -qf,qg,s+8j fs

  For a wave, the frequency times the waveupjl 08)lxe*li mf,. hlength is the wave's

  The frequency of a wave increases. What happens to o hb ib7 ;9yxe7.y4ru+dsod/z the distance between successive crests if the speed r yih ox uyo.+z;4dsbr/be7d9 7emains constant?

  A wave moves on a stvdvqj,1dd b 30z7n ze;ring with wavelength l and frequency f. A second wave on the same string has wavelength 2l and dq1v0v7e3,d nb;zzdjtravels with the same velocity. What is the frequency of the second wave?

  Consider a travelingce1x;ycqn()6x u a0ix me -fy: wave on a string of length L, mass M, and tension T. A standing wave is set up. Which of the fne c1 x-6(ycqifxx:yme )0au;ollowing is true?

  A string of mass m anvkupw 2co8u 56ki7e5u d length L is under 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 mass of the string is uow5u k8c7ei6upv 25 kincreased to 2m, with no change in length?

  A string of mass m and length L is under tension T. The speed ofeqm,q zi- /f1t 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, w1-/,qfzt m eiqith no change in mass?

  A string of mass m and lencqz6:ohtmm8 ;r*6 ) ipflliz-gth L is under tension T. The speed of a wave in the string is v. What will be the speed of a wave in the stringt l*6r;hm6iqmz)ilp :8zo f-c if the tension is increased to 2T?

  In seismology, the S wave is a transverse wave. As anls w1 1fxd6u84yip/mpv ,eh (o S wave travels through the Earth, the relative motion between the S w1s6,dhe1w u p mfl8iv p/y(xo4ave and the particles is

  In seismology, the P wave is a longitudinal wave. As a P wave trave sj uaq(l1m;iionkj+.f9j3 m 4c bvu,7ls through the Earth, the relative motion between the P wave and ob j .nmji(cf+i47j k3a,1l; 9vuumq sthe particles is

  The intensity of a wyu :+xr 0b3id l9icer8ave is

  A wave pulse traveling to the right along a thin cord reaches a disconve fz,wf399v emzd y+,tinuity where the rope becomes thicker and heavier. What is the orientatz9,9, +m3y ezdfewvvfion of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each oth0-ftkn3ro:fm er on a string, one is traveling toward the right and the other toward the left. At the point that they occupy the same region of space at f-tm3kn: 0r fothe same time

  Two wave pulses pass each yk hk *,i0g mmhbk5c::x:lr+xother on a string. The one traveling toward the right has a positive amplitude, while the one traveling toward the left has an equal amplitude in thrcm i0gk5+*x :hkxhlk,:mb:y e 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 whezd iguil1p)2ep t1/kns.: 5zan

  If one doubles the tension in a violin string, the fundamental frequencyz+ co5a.azfqc 9b(7q h of that string w+cq7fbqaz oc(a5h. 9z ill increase by a factor of

  What is the spring constant of a spring that stretches 2.00 cm when0 co9en,b- vhi a mass of 0.600 kg is suspend9v nh,c i-eob0ed from it?

  A mass is attached to a spring of spring consc2- j .uiufu9itant 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 equilibriumuuu29 -ii.c fj position when it is oscillating. What is the amplitude?

  A mass is attached to a spring of spring constant 60 N/mr0t jz:1g)d np 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 thetng: p01zr)d j 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 a hol9likz zioc n2u6ts,4-g 9-w krizontal, 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 whenn9oit9c u,s 4 ik -kzl2l6z-wg it is oscillating. What is the frequency of oscillation?

  A mass on a spring undergoes SHM. It goes through 10 compl0r tv ocnw.hc10wg2m4ete oscillations in 5.0 s. Wha10v. thgcnow0wmr 2c4t is the period?

  A mass vibrates back and forth fro )vlt9aw -4oezpv32x0u ( 0jg3giqidzm the free end of an ideal spring of spring constant 20 N/m with an amplitude of 0.30 m. What is the kinetic energy of this vibrating masv9xt (d gv23pzu -qag34j)iw z0e0olis when it is 0.30 m from its equilibrium position?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m ar6o):)k d89naejn vkr( ll 7twlong a horizontal, frictionless surface. Therv9: tl)ew(ro dkan7 lk6j8n) 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 amplitude of 4 cm. db)o+ynpdu)y9nf;+ t8hn / zjThe energy is 8.0 J at this time. The mass is cut in half, anyb+zo u d+/nydtn)f 8p);j9hnd 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 spx 6e5t8 kt 6s9,xjyf* jsu5acaring 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 positioa 9fyx,* sj8c5t6a6ue5sjtk xn. What is the amplitude of vibration?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/mkom rk33;f/z q tf,3a;)ozlho along a horizontal, frictionless surface. The object oscillaoqfot3zzoa mlh r3/,3 ;kf);ktes in 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 the end of a horizontal spring of spring constang4tqp+m r hc(lf(t9*s t 50 N/mmlg4*q (t pr fc+9h(st and set into 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 a horizontal sp+:x zwc0snua, dvt2 in, nbw( +;l0jjlu:vu u-ring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the total mechanical energy of t,(c : xvs j;0d-z2b:ua+tunu+un lw0n liv,wj his system?

  A mass vibrates back and forth n(c6,w7nwha8 ve .lnd5w8bvo from the free end of an ideal spring of spring constant 20.0 N/m with an amplitude of 0.250 m. What is the ma hcw lan5,.o dnww8n768bvv(eximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring system is displaced 10 cm fr jw99fbjw e9me+l9mz0om its equilibrium position and released. A frequewj ej 9b 9z9fme+mlw09ncy of 4.0 Hz 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 attached nwx2cjr9*p6 gto a spring of spring constant 10 N/m. The object is disp9wrn 6j2*c xgplaced 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 8zi .5xv;poz4/d 6u(a 20d7fqdt k 5vbyelfwj10 N/m. The object isd7vpyt8 wi; 4f5 (k6ddf.205zo/ vleqxzab ju 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 sprin*infh wo 4gf-x83,w jf.6qjt:ix ( tjxg constant 18 N/m, displaced slightly from its equilibrium position, and released. What is the frequency of its vibra:xfij*6 jh-x4t(xo tqi3gfj 8nf w. ,wtion?

  A mass is attached to a spring. It oscilg09pqqlw0bqvs * 8 r4plates at a frequency of 1.27 Hz when displl wpq 00s4v9qrgp8*qbaced a distance of 2.0 cm from equilibrium and released. What is the maximum velocity attained by the mass?

  Two masses, A and B, art -x8vyqn +:w5odxkkf +5m7jz e attached to different springs. 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 maximum speed of A compandx5 kv+7 +-q:wyxz8fjmotk5 re to the maximum speed of B?

  A 0.30-kg mass is suspended on a spring. In equilibrium th: ;iv tg:o3xrye mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distancox:r3 :itg;v ye of 1.0 cm down and released from rest. Calculate the period of oscillation.

  A 0.30-kg mass is suspended on a sphsj*hu 1eo/: yring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is thenu heh1:/os yj* 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 (0ws/r ( lwg(txukeu;on a spring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additiotw (/0((ewxlukr s ug;nal distance of 1.0 cm down and released from rest. Write down its equation of motion.

  An object in simple harmonk997 8 lzfbxcsic motion obeys the following position versus time equatkf9l 97czsb8xion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmoniccz;6oqng4uw 6 motion obeys the following position versus time equatio ;gu z4c66nqwon:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys themrnuqvg4 zd33tq b; 80 following position versus time equation:tz08; 34ubv r dq3nmgq
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes swjpows6 ;,d6y imple harmonic motion according wo6s6,;pd jywto 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 of 20.0 N/m d, ;g n 8pqw6up(nmvt1/(8gb :n6 hmngovx fl;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;/pl6hn;t8ovg:nv1(mg6xb , qd g8 wn (mnufp 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 sw bf*d+ 95tdelyings in 8.0 s. (a) What are its frequency and period odtf +*eybdl95 n Earth?

  A 3.00-kg pendulum is 28.84 m lo. e2s-0.mw4 zocvo tctng. What is its period on Earth?

  A pendulum has a period of 2.0 s on Earthh.ijovkjy6 f6 ;sd 0y6w:hhx4. What is its length?

  The pendulum of a grandfg9er 6f 9-hcneather clock is 1.0 m long. What is its period on the Earf 99h6cenr-g eth?

  The pendulum of a grandfather clock is 1.0 m lontts jxzcp-h;d9uljwk-g; kl n i.,88 .g. What is its period on the Moon where the acceleratik;t.dnjlx.9 lswhut;z gi,8p8 j-kc - on due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spher.i /v4pai:* dt.y+ *k4ye ;ixjkp uehbical 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 frequency of 2.0 Hz. What frequency would have resulted if a 0.50-kg mass (same diameter sphere) had been attached bp4i pxeei/:a.y4;i*hv*j . +kukytd to the string instead?

A simple pendulum consistioh0i,oh: tmr)ng of a 20-g mass has initial angular displacement of 8.0oi:0 ,rm) hthoe. It oscillates 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 wavptyw5l;cb (i34amtre( huv 4 5g 4ib,le at a given time. The frequency of the wave is 120 Hz. What is thel4 i3c(5(wug4 rv bm5lhb ,payi4ett; amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given time. +koe 4+nnan y+g2 kp:n) itqy0b.mk1z The frequency of the wave is 120 Hz. What is thz ig1n4k n.q+nt)kokap +:e0+2ynmy be wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given time. The 1y;cq 4nr hr.ul;0m rufrequency of the wave is 120 Hz. What i;uqlr r; m4 uhnc0yr1.s the wave speed?

  What is the frequency of a wrlg3)mh)km q.g 2/sdu ave which has a period of 6.00 ms?

  What is the period of a wave with mko. 1n8yi 5r;ibuyt2 a frequency of 1500 Hz?

  What is the wave speed if a wave has a frequency of.8+,n,: ovivk vowqgs 12 Hz and a wavelength of 3.0 m s qv:wvk,g8+oio.vn,?

  What is the velocity of a wave +c3-arrdst*svv+-m r that has a wavelength of 3.0 m and a frequency of *+sr -cvav sm3- d+trr12 Hz?

  What is the frequency of a 2.5 m wave trs8cg:ir8t8cd aveling at 1400 m/s?

  A piano string of linear mass density 0.0050 kd s9gpy6ci 0,bzbz/n0. ax7 j/6jzzyhg/m is under a tension of 1350 N. What is thenx 9/ 7 y0hiz/ps06 6bajy,cz .dbjzgz wave speed?

  A string of linear density 6.0 g/m is under a tmx0irb1.fua9gj6 r( bension of 180 N. What is the velocity of0(bm1uj r b.9i grfx6a propagation of transverse waves along the string?

A wave whose wavelength is 0.5004ke1pe :o,vg 4ckf 5ut9hq.7djx6.keu rcm . d m is traveling down a 500 m long wire whose total massupcrk. . 9fh g4ekxq57t61u.mk4do:dcj e ve, 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 fixed aq v /3;mv udg0 b(0yfero uu1iqskyys.0)9g1gt both ends is 200 m/s. Which one of the follo/f g0m bgrq3vuuik;.yu1 s01qd(s )9oyy0veg wing is not a resonant frequency of this string?

  If a guitar string has a fundamental frequency of 500 Hz, which one of thspmlre0kx2z qok/.k7 v(d*b (e following frequencies can set the string into o sdq7(mk.k2x0l(rb/e*k p vz resonant vibration?

  A stretched string is observed to h6c zreebqx6rhu .+ qauea.742 ave four equal segments in a standing wave driven at a frequency of 480 Hz. What dri7ebrc+za h a 6uer4 2uxe6.q.qving frequency will set up a standing wave with five equal segments?

  A string, fixed at both ends, vibrates agroc o1oy(jur3 uwd * w6s7qw7.gj9 )kt a frequency of 12 Hz with a standing transverse wav)cd*(.wougr3 ojy1 7kw9u6rq swg o7j e pattern containing 3 loops. What frequency is needed if the standing wave pattern is to contain 4 loops?

  A string of linear den9;199)ce h pbrzenfj fsity 1.5 g/m is under a tension of 20 N. What should its length be if its fundamental resonance frequency is f)9c; epnje fhr1zb99220 Hz?

  Find the first three harmonics of a string of linear mass density 2.00 l vd5l+q1 :8rld+ao(f3 tq mokg/m and length 0.600 m wh:lmqtoldd (31v58a + lkq+rfoen it is subjected to tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. When 3inv3o-,f ixf the string vibrates at a frequency of 85 Hz,f-xo ,n3i3fvi 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.