The time for one cycle of a periodic proc9 rfy 5;x,xi-tazipb/ess is called the

  For a periodic process, the number of cycles per unit time iswh qt ;:kr/a(z called the

  For vibrational motion, the maximum displacement from the e2+hn,wn1 htxin,*y axke zf.6quilibrium point is calle, awt n6knhfne,2*x+.1y xihzd the

  A mass on a spring underg*8 ybjke zc(8 k,r0i9/*k hoqcu rwgr0oes SHM. When the mass is at its maximum displacement from equilibrium, its instantaneous velociq, uo 9eick*0gy*r8r8k(h cz kw/ br0jty

  A mass on a spring undergoes SHM. When the mass passes through the equilibrifupng:iht7 n(xc f((itfs ,lc6 nn+26um pos tplh7ic:fs( (n+x6f6i,ucnn tg 2(fn ition, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass is atk up) nu,y -xac,1 h +536ts4mmmzaryc maximum displacement from equilh6m3 smzpm,n+)ay cuc 1yk xr-a5t4u ,ibrium, its instantaneous acceleration

  A mass is attached to a vertical spring and bobs up and down between poio6d ;a;dn+ cdcnts A and B. Where is thecn od;+cd6a ;d mass located when its kinetic energy is a minimum?

  A mass is attached tox2w0 5:l.b sq3z dyeuu a vertical spring and bobs up and down between points A and B. Where is the mass located when its kib3eqd.xsy:l50 z 2 wuunetic energy is a maximum?

  A mass is attached to a vertical spring and bobs upk851zi idme3,l 8aypp4z 8x m8h;uynw and down between points A and B. Where is the mass located when its potential energy is 4dnakwy88m8 h;3i zu5e1 zx8liyp mp, a minimum?

  A mass is attached to a vertical spring and bobs up and down bey,rdp+x0tttt/1n 7n0zg -yn5udlr z 9tween points A and B. Where is the mass located when its potential energy is a may0xtd9rt-dz7 g p0y5t/rlzt,nn1+ nuximum?

  Doubling only the amplitude of a vibrating mass-and-spring system produces wh wp;.-i+ c9 gtlmild6msra.7u at effect on the system's mechanicr.lc.gt li9w7 +;u si-6dampmal energy?

  Doubling only the mass of a vibrating mass-and-spring system produces what effecqz*hvm yp(p)* m6 ;l8;, jz,amr mlkret on the symm*rlmaphyz,k (vz;8,6*lre;) qjp m stem's mechanical energy?

  Doubling only the spring cwzqhh+ e l 3,sbo7fyu7mn. z7 0twg*)konstant of a vibrating mass-and-spring system produces what effect on the system's mechal70e7* )qwz3yf,nw zo u+hg7s.h mbkt nical energy?

  A mass oscillates on the end ospfx(m/0,h,0y , wbq honc) qof a spring, both on Earth and on the Moon. Where is the periosbwhyom h(q0)nx o,, /cqf,p0d the greatest?

  Increasing the spring constant k of a mass-and-spring syseek.o;)u +gc h)bb as;xj6lau) h4 cj(tem causes what kind of change in the resonant frequency of the;k goe.bja;)e( hula )cscx4jbuh6)+ system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system cdog b32vtx e6p* n83nlauses what kind of change in the resonant frequency of the system?b3xonv 6d2te nl*g p38 (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mas:vrbhi1 xjk8-s-and-spring system causes what kind of change in the resonant frequency of the system? (Assume no other changes in the systeikrjb- x v8:h1m.)

  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 weid gzue(/ x+bgmo5 tg1b 6k-d5 a 7u8by8-cnqnvghtless string of length L. For this systemuo/dmz(xb7 a-d5ye g6tkc 8bugv -5 n8 b+q1ng, when undergoing small oscillations

  When the mass of a simple p-xx,ri)7hq m1ocz*5s qfo3 kkt97xpo endulum is tripled, the time required for one complete vibro*xxsr) 1tmk,hqi5oz7o -p7qcf x9 3k ation

  Both pendulum A and B are 3.0 m long. The period of A is T. Pendulum A is tw1 +h;lvorz -niice as heavy as pendulum B. What rzin1l ov ;h-+is the period of B?

  When the length of a simp fpm43o3h2)sf u2vwbvle pendulum is tripled, the time for one complete vibration increases by ao3u bhmfv3 24sf wv2)p factor of

  What happens to a simple pendulum's frequency if both its length and mass are 7ituw3l8 hn5 dincreasetwun85ldi 7h3d?

  Simple pendulum A swings back and forth at* o 9r1tu1s ac i;byepusz.67b twice the frequency of simple pendulum B. Which ;ot 1 u7a.b b*icrypsez96su 1statement is correct?

  If you take a given pendulum to the Moon, where the ai 5/q+7;bgkrwy ; issjcceleration of gravity is leswisr+; ;jq /si5gk7y bs than on Earth, the resonant frequency of the pendulum will

  Curve A in Fig. 11-1 representje 2qf l. qgwjmcfu8a-+(ky87.j)dkns

  Curve B in Fig. 11-1 iok v(uv5di6 ;i 2vd7urepresents

  Curve C in Fig. 11-1 repro2s ) +n9mvc6u0 qj3xwe d84glpacs- 0g w(awaesents

  For a forced vibration, the ampliw73cs. : yuxhrtude of vibration is found to depend on the

  In a wave, the maximum displacemetpd-;ww 0+wkgufc0yj6.t y)s nt of points of the wave from equilibrium is calc.pd )st6uwg0-kwy f+w;y 0t jled the wave's

  The distance between succes2ur d1r yk8r.qz-yya24ex4yfsive crests on a wave is called the wave's

  The number of crests of a wave passi5g gb c-:mvyh-owf8qksg3t 7v747zlu ng a point per unit time is called the wave':gs7wvl-8t m qfhg 4u ygock7b-3 v75zs

  For a wave, the frequency times the wac(klbt2-mf pcpk1 ejq 3 97(qcvelength is the wave's

  The frequency of a wave inkgc;p /blu;n5creases. What happens to the distance between successive crests if the speed remai5/k;cpglu;n b ns constant?

  A wave moves on a string with wavelength l and frequenc6oi i 8wspnz5-y f. A second wave on the samios68zn p -i5we string has wavelength 2l and travels with the same velocity. What is the frequency of the second wave?

  Consider a traveling wavenvvst e *u,1;c.qo; cy;-92s,qciq.tt uj rfc on a string of length L, mass M, and tension T. A standing wave is set up. Which ofj,o; c .i,vf .u2 q rtnqcc1uqs-;c9ysv*et;t the following is true?

  A string of mass m and length L is under tension T. The j)xew)50 yvzw;q * btvspeed of a wave in the string is v. What will be the sp;)qt* zwbv)5vwey j x0eed 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 to wazk7sv-ybsf2 v6+1ension 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 t+z6a1ofkysvv- wbs72o 2L, with no change in mass?

  A string of mass m and length L is under tension T hpkcgi.9 yxvlxq:o97d d+ -t:. The speed of a wave in the string is v. What will be the speed of a wave in the string if the tension is increase9 dh:lxoc.xt +:9qikv7gy -p dd to 2T?

  In seismology, the S wave is a tranr,jm19xem 4i.* :oqds akbh (vsverse wave. As an S wave travels through theo4(b.,h 19a jdmimk eq *xrv:s Earth, the relative motion between the S wave and the particles is

  In seismology, the P wave is a longitudinal wave. As a P wave travels through thz/f )*1v6bdzce(e5r 3rh vz0 v)wbtjj e Earth, the relative motion between the P wave and t 6v5)bvrt*(f)rzcz1b0 hjv z/3w edj ehe particles is

  The intensity of a wave-e4ua/wt p6pa is

  A wave pulse traveling to the right along a thin cord reaches a*dqxo3v4po c, discontinuity where*o ,dv3o xp4qc the rope 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 m oli2i f pxi(2gw:9e)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 thewg2p l(iximo 9)fi:e2 same time

  Two wave pulses pass each other- mds*c4pa7c; ou(t2rqcn;ckc7q2 j r on a string. The one traveling toward the right has a positive amplitude, while the one traves2r*rjao;mc t d 7p27-ccunc4c qq(k;ling 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 both ends, o xj)8m0sm /)3jqewod eccurs when

  If one doubles the tensir8q6c9 :*lzt 5g zazhcon in a violin string, the fundamental frequency of that sgcc8 6zz5ra9h:*tzlq tring will increase by a factor of

  What is the spring constant of a spring that sy 7+gmr;8nncg9*w shhtretches 2.00 cm when a mass of 0.6s8wc7 ;mg*yn nh9g rh+00 kg is suspended from it?

  A mass is attached to a spring of spring constant 60 N/m along a horiz+ tqy95p /sbikontal, frictionless surface. The spring is initially stretched by a force5b9p iykqts/+ 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 towt75s 4e*en tr,3tkdl a spring 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. It takes the mass 0.50 s to go back to its equilibrium position when it is os4 et wtdts5e,rl*k7n 3cillating. What is the period of oscillation?

  A mass is attached to a spring of spring constant 60 N/m along a horizonta)hdsgye8 4 29x8bcr 7x- 3hy/x erhuull, 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 frequency of os3u9 sxb/yl8-c )gd2 rxu xe4h y78hhrecillation?

  A mass on a spring undergoes SHM. It goes through 10 comp;eizqv q +lvs;vunm7s6a7s 87lete oscillations in 5.0 s.77li 6 samzvv qe8q7; svns+u; What is the period?

  A mass vibrates back and forth from the free ej;j, m4 d4cpv)3enteund of an ideal spring of spring constant 20 N/m with an amplitun )jtmepj;43 vec4u, dde 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 att-y qymg 8h39cqached to 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 1.5 m/s at the equilibrium position. What is the total energy of the syshq3qc-98y mgy tem?

  A mass undergoes SHM with amplitude of 4 cm. The en nk5(r 5yy++:fzv nx4tx w+pjlergy is 8.0 J at this time. The mass is cut in half, and the system is again set in motion with amplitud:y+t(kpr j fy5n +xw4l5vxzn+e 4.0 cm. What is the energy of the system now?

  A 0.50-kg mass is attacher)2a+b (u)qx0aptv)tf xo r jxm4.xc .d to 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 1.5 m/s at the fa)j)vr2cx0px+u ax.xm.()o t4qbt r equilibrium position. What is the amplitude of vibration?

  A 0.50-kg mass is attached to a spring of spring com3nbd;y,le: iw7c:staq e,+bnstant 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 equilib 7,tsel;edbma3ny, bc:i+ :wqrium 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 c28x1 :6wwu-iijuj pqxvc /(6uj t)prq onstant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. Wh-6qjx uj6i1pr)w wc xj:t/(u i8qu2 vpat is the total mechanical energy of this system?

  A 2.0-kg mass is attached to theus0z p. c/oqj8;;gyqsln0t g6 end of a horizontal spring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the totanpzs60l0g;./8cj sqq otu ;gyl mechanical energy of this system?

  A mass vibrates back and fortqt27i ymh jh(:d..vwb h 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 maximum kinetic energv ht7:q d.jh.(ib2wymy of this vibrating mass?

  The mass of a mass-and-spring system is displaced 10 cm z 9 i(p8rqc7khfrom its equilibrium positioc7k hpzi r98q(n 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 released?

  A 4.0-kg object is attachpsy6s ksc d3u+ i;s1,ked to a spring of spring constant 10 N/m. The object is6kus1sdsy,3psi;+c k 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 tok a 0a5cf i6 a0:xdzbldhp74v( a spring of spring constant 10 N/m. The object is displac04adi z706bafvx(pd kc hl:5 aed 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 slihlfovsr+md/t6j oilq;29 -m 2ghtly from its equilibrium position, and released. What is the freo;q+ll62vstmj2f r9id -h m/oquency of its vibration?

  A mass is attached to a sprpk:y7f*s tpz af 6;9 0kz,aayhing. It oscillates at a frequency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What is the maximum velocity attained by the my0kpyza z9stf ,h:a67 k;f ap*ass?

  Two masses, A and B, are attached to different springs. Mass A vibrates zmq uthl;q* e.w1xm)0 with amplitude of 8.0 cm atthwu ;lm *zqq x0e)m1. 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 sprixk8w)rl eqdfu +eb:) 8 93lljrng. 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 period ofefl w ):3+kj)u9leq rbd rl8x8 oscillation.

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass stretches da123: ,nlc ltgfu j0 rc9s(hsthe spring 2.0 cm dow9l:sj1un 32s0dl t gr,(ahccf nward. The mass is then 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. ,d(tkudty+t (ni-y f1In equilibrium the mass stretches the spring 2.0 cm downward. The masst df,kt1yt n+diu(y(- 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 positi7n7)d c;4bugsm/ jcqo on versus time equ 747nj/ )mg cqdcob;suation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harm;/cqn*fs 0q tb5xg- kkonic motion obeys the following position versus time equati0b-* / q cfskk5qg;xtnon:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following position versus tim5* z;q mvjoo 1ddtkdlw55yq+)e equation:1 ovdlk+dqw)z5o ;t5 m5d yqj*
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple harmonic p.n* l * kffid)1e48,fqoastemotion according to the equatiot4*n a8. dqpflfek 1os,*)efin $y = 0.50 \; \sin (18\pi \times t)$ 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 consa9; aoi4t:3jacryo 7g0o-yaltant of 20.0 N/m oscillates on a horizontal, frictionless track. At t= 0, the mass is released from re-o 3a a4airloa ;y9tj7c:0oy gst 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 s ; pto..:j4m qroiyi jctasin/:q7*6mwings in 8.0 s. (a) What are its frequency and period on stn6 7.io/:4. oqmja ir*qm;tycp i:jEarth?

  A 3.00-kg pendulum is 28.84 m long. What is ituo38y/.l c upxs period on Earth?

  A pendulum has a period of 2.0 s on Earth. What is its lnk256lrniv1c8zvc. ftv i.l g+x jt9-j irk92ength?

  The pendulum of a grandfather clock is 1.0 m long;.0be)csn 6k/axb g1s nty+kw. What is its period on the Earth?kgsxe6 sc n/01n;y+wbk)ta.b

  The pendulum of a grandfather clock is 1.0 m l3/eyupee2pvc)w22or* tth 4kong. What is its period on the Moon whereppyov)etue2c rk2/4w e2 t* h3 the acceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attached ty xcf 5 lk(5(h9zsq3b)e)iq )bo 9tquao 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 Hz5lxi)ot3as(kzq9u b(q5b qcyh f) )9e. 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 anguxmp4 zx3: 4lchm+go5l lar displacement of 8.0e. xmo5c4z 3lh+ g4lp:mx 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 wave at a given time. The frequentq; q76eyvt o3cy of the wave ot yqe;37q v6tis 120 Hz. What is the amplitude?

  Figure 11-2 is a "snapshot" ofe0 au56bv klx:-ziq att ,tb9(mqv)2e a wave at a given time. The frequency of the wave is 120 Hz. What is the waveluvb( x9k5q t lm0)e6vea t,:tb2ziaq- ength?

  Figure 11-2 is a "snapshot" of a wave at a wnzo80-9x lq6v( q;zqkmx w) wgiven time. The frequency of the wave is 120 Hz. What is the wave speem(q 8xw- o6v ;wqz)qnzk 0w9lxd?

  What is the frequency of a wave which has a period of r8ofi+c tj/d+ 6.00 ms?

  What is the period of a wave with a freq)sj5ach+zjo; by(k n5uency of 1500 Hz?

  What is the wave speed if a wave has a frequency of 1 :4h,-j8 bm3 7zcmhecaw 5wwds2 Hz and a wavelength of 3.0 cb 3sdmhw:j8em wa7hczw4 5, -m?

  What is the velocity of a wave that has a wavelength of 3.0 m and a freqah ) vhxb6)n8xuency of 12xh8)a)bnh v x6 Hz?

  What is the frequency of a 2.5 m wavebr9o15ns ld z4*;pmlj traveling at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is u u*sy2ix6nn4sqj/ cog hqc3 8.nder a tension of 1350 N. What isqhs i/jsgx2ny.cqnc 38 ou46* the wave speed?

  A string of linear density 6.0 g/m is under a tension of 1807l8mg /udwj b/t.+sqp N. What is the velocity of propagation of transveq.+ds 87tw/jmub/ glprse waves along the string?

A wave whose wavelength is 0.500 m f /zf g,xnne/1is traveling down a 500 m long wire whose total mass is/x zf1ne, ngf/
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-cbfznuks4 n2p j9c85 of a transverse wave on a 2.0-m long string fixed at both ends is 200 m/s. Which one of the following is not a resonant frecfb c spz9-nu5n842k jquency of this string?

  If a guitar string has a fundamensr7flsgr0r i2q+.fmhn v-/: wbl 5bv8 tal frequency of 500 Hz, which one of the following frequencies can l72vrr:i /hfmbfb.nqg 5+ sr-80vswlset the string into resonant vibration?

  A stretched string is observed to hadht 1m8 -;zihzve four equal segments in a standing wave driven at a frequency of 480 Hz. What driving frequency will set up a standing wave with five equal segmenhdz-m1 t;i8hzts?

  A string, fixed at both ends, vibrates at a frequency of 12 Hz with ag -5ohtrpl0:zq n4wb ) standing transverse wave pattern containinglp4 oz0 rwbtgn)5- :qh 3 loops. What frequency is needed if the standing wave pattern is to contain 4 loops?

  A string of linear densityxsklpe ;95ao3zs:qk ,-mo a(a 1.5 g/m is under a tension of 20 N. What should its length be if its fundame,qkl:5-as sxpa(9eok oam; 3zntal resonance frequency is 220 Hz?

  Find the first three harmonics of a string of linear mass density 2u.vx13)bmt h8trbiq6 .00 g/m and length 0.v biq 86uttx3 bmhr1).600 m when it is subjected to tension of 50.0 N.

A string of length 2.5 /x o,7u)iulcy .tcp .fm is fixed at both ends. When the string vibrates at a frequ.cu) upotic., x/ lf7yency of 85 Hz, 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.