The time for one cycle of a periodic process isx zp* d1za3j,k called the

  For a periodic process, thqq(p7ez+ *wm fe number of cycles per unit time is called the

  For vibrational motion, the mau kpekda r4yy3.;e,2f ximum displacement from the equilibrium point is calle2,yk;r k epf4. eaud3yd the

  A mass on a spring undergoes SHM. Whej nmt2 d7mym2,n the mass is at its maximum displacement from equilibrium, its instantane2my7m dtj,m 2nous velocity

  A mass on a spring undergoes SHM. When the mass passes through the -r 9,thp of:2wqls w:qequilibrium position, its instqh- ow: l:,w 2rspqt9fantaneous velocity

  A mass on a spring undergoes SHM. When the mass is at z hk 4te 0libqzb.g ;/)wptd2+maximum displacement from equilibrium, its instantaneouhz d.kg+/t tbe2;pi l4bz q)w0s acceleration

  A mass is attached to a vertical sc*o79l3 fdyz fpring and bobs up and down between points A and B. Where is the mass y73 lfdo9*cf zlocated when its kinetic energy is a minimum?

  A mass is attached to a vertical spring +mu0;0 fon jwhand bobs up and down between points A and B. Where is the mass locate;wjun0 + fhmo0d when its kinetic energy is a maximum?

  A mass is attached to a 2) , e6lhjx8)fqux mhlvertical spring and bobs up and down between points A and B. Where is the mass located when its potential energy is a 6q) ,ufhmljxx28)leh minimum?

  A mass is attached to a vertical spring and bobs up and dl0. adib)t. ziown between points A and B. Where is the masi0) tzba.d .ils located when its potential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-spring system prodw6gkrwvg c3p+/jv11 f uces what effect on the syc6g fwvgkp+31 vw jr1/stem's mechanical energy?

  Doubling only the mass of a vibratis+tc ;e kgfgc0omy6;;+ aee-vng mass-and-spring system produces what effect on the efkgasec;+m oc; e; gt+y06- vsystem's mechanical energy?

  Doubling only the spring constant of a vibrating mass-and-spring zry)1g*njx 0 ksystem produces what effect on the system'nr)y*k jx1 g0zs mechanical energy?

  A mass oscillates on the end of a spring, both on Earth aw /*in 8r qi/ jeeo(rr3m)y+vsnd on the Moon. Where is the o 8y mvqnr(*i)w3j/eir/er+speriod the greatest?

  Increasing the spring constant k of a mass-and-spring system causes kgtnr52h1w*k -k h y-e 4hfc;lwhat kind of change in the resonant frequency of the system? (Assume no c-k-k yk 5et c1hn42;rw*hlgfhhange in the system's mass m.)

  Increasing the mass M of a mass-and-spring system caus xcbp9+inu n)7es what kind of change in the resonant fr x7iup+bnc9) nequency of the system? (Assume no change in the system's spring constant k.)

  Increasing the amplitu e xoq (/fyyl+kx0d9u8de of a mass-and-spring system causes what kind of change in the resonant frequency of the system? (Assume no other changes ixd /u9leyqo +0 8kx(yfn 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 cobj 9+qd8xw (tensists of a mass M attached to a weightless string of length L. For q(bj de+t89wxthis system, when undergoing small oscillations

  When the mass of a simple pendulum is tripled, the time required fohsf p qx-;h-s*r one complete vh x;f*qps --hsibration

  Both pendulum A and B are 3.0 m long. The periozj 8vw k)j *6) ca.mbhmfp7dl9(n +uded of A is T. Pendulum A is twice as heavy as pendulum B. What iml(kd *8nh bcwe6vuz)pam+d )jj.79 fs the period of B?

  When the length of a simple pvr jwx/z*54+baa 8 5wfz xz6trendulum is tripled, the time for one complete vibration ina fv 8rwtzzbxz/45rja 5*+6 wxcreases by a factor of

  What happens to a simple pendulum's frequency if both itsk5bs2 k,rt+ mdiggq,ej es70( length and mass are increasedmrb 7 e5q,segg2jiks+0t, (kd?

  Simple pendulum A swings back and forth at twice the frequ- 1z)u(yd1+ln ud mhrytx0xg6ency of simple pendulum B. Which statement0dym +u 1ndu-)grlh(1tx yxz6 is correct?

  If you take a given pendulum to the Moon, where the acceleration of gravity isl jq:6:2uje p/ flpme .rv,6qf less than on Earth, the resonant frequency of th.6 jlpj:,:/u 6qme e2rplffvqe pendulum will

  Curve A in Fig. 11-1 represeng405ryysp v) dsu5 v0mts

  Curve B in Fig. 11-1 represe9z(oeke b 54tgnts

  Curve C in Fig. 11-1 rero .u /hv;n;ik( a7ardpresents

  For a forced vibration, the amplitude of vibrationb dk:6jwbwj/ - mm .5xmue)sk: is found to depend on the

  In a wave, the maximum displacement of points of the wave from equilibriua m rgg,tg 45jp1po0i5m is called the wap 5t0gg,ir o jga451mpve's

  The distance between succei ) )qsqv:avx(vk,5u tjs58gt ssive crests on a wave is called the wave's

  The number of crests of a wayml00q 4 p+nozve passing a point per unit time is called the wave'snmlz040o qp+y

  For a wave, the frequency times the wavelengyf5jcu nufx*3 3w93stth is the wave's

  The frequency of a wave increases. What happens to the distance betwl f(sca6vskn/co-7e -een successive /s7elasfk-- (oc6c vn crests if the speed remains constant?

  A wave moves on a string with wavelength l and frequency f. A second wave on t be3a 1kg-/2d 42mng1l jchmiphe same1nl jggma42d bk -mh/ ci1pe32 string has wavelength 2l and travels with the same velocity. What is the frequency of the second wave?

  Consider a traveling wave on a string of 7zk26inu 8ak*m8dse x,df -imznu3 f5length L, mass M, and tension T. A standing wave isa3z,x*d 7ki5 8s6e82nidzmuu k fnf-m set up. Which of the following is true?

  A string of mass m and length L is under tension T. The speed of a vhkv8cfa0,-d )ct8 ul 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, with no change in lengk)v 88 d-lccuh0fv, tath?

  A string of mass m and length L is under tension T. Theki.l3pex1(njupgufe(t f +,(09ck yw speed of a wave in the string is v. What willunw+3 xp(pk ek (.l9u ty0cj, 1g(ffie be the 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 e.f3p 6sj- )ozehq+oc 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 tension is increased tqoo- z hse6. 3+ef)pcjo 2T?

  In seismology, the S wavb2jg1r3 xoctlejj * *-e is a transverse wave. As an S wave travels through the Earth, the relativ 2jrx-c toj*1eg *bj3le motion between the S wave and the particles is

  In seismology, the P wave is a longitudinal wave. As a P t30hd +r*bmm mwave travels through the Earth, the h+m *b0mrd3tm relative motion between the P wave and the particles is

  The intensity of a w 4k )jk umxjhu05z0 bice.uc4trk1 ;3qave is

  A wave pulse traveling to the right alo 6 a c ;(jpro)b,cdxri40lbzkro1i9j:ng a thin cord reaches a discontinuity where the rope becomes thicker and heavier. What is the orientation oij)r(bpl:61cz,j;oro4db 9 0xa kr cif the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each other on a string, o k0ib 0upxogiqh 7 hino5o-1+,ne is traveling toward the right and the other towarg7h+k0ohu 0i-nop o5 b1qi xi,d the left. At the point that they occupy the same region of space at the same time

  Two wave pulses pass uwkd2-- 0dbe e*e fq,2 iogam9each other on a string. The one traveling toward the right has a positive amplitude, while the one traveling toward the left has an equal oeb-2 wd *0k e ,qiuam29ed-gfamplitude 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 fi)6m-cp6xx va d p7nsc,n4 5egmxed at both ends, occurs when

  If one doubles the tension in a violin string, the fundamental frequency of thaf-: f a+4pi5qrphv.c( vkw,f pt stringa v cf4pirh,fwf.k5:+(p-vp q will increase by a factor of

  What is the spring constant of a spring that stretches 2.00 cm wheno)z8:r2 zoc2fxj*idwrye(g 3 a mass of 0.600 kg is suspended fro3*crzofixd(gzy2)j: r 8owe2 m it?

  A mass is attached to a hbsv;zxx*(3 jwsa,; gd.p1 ubspring of spring constant 60 N/m along a horizontal, frictionless surface. Thed w j,3(1bhxv* sxa;s;pu.z bg 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 amplitude?

  A mass is attached to a spring3l b,*,+ htrg2 x4cxywqsdtb,q dm -i5 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 letq my,hit gb4,,xlqx+r3c2 w*bdd-s5t 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 +5+ tco vxrry(nd,iqbwp 3(3ta 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 oscillating. Wrv( ycqw+x (tod+5pnr ib ,33that is the frequency of oscillation?

  A mass on a spring un96ogf 7 tn2 5ppvp;0qtr/svsidergoes SHM. It goes through 10 complete oscillations in 5.0 s. What is the sv p2t 0qont i7sr/6g;pf9p5vperiod?

  A mass vibrates back and fortt5hm )l pic31o:bq8uo h from 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 mass when it is 0.30c3) iltq:bu8mhop51o m from its equilibrium position?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m alonxillzvax4.xt /.o knyy e *:u,-u:;beg a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a su,:vax ; *o-e.b zy utxynli lx4/.ek:peed 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 ener;gxo9fix13cm*r1 ociw p7+h0tbcxm3gy is 8.0 J at this time. The mass is cut in half, and the system is again set in motion with amplirb hxfm0*x9 xmtco1 c31wc ig+i;o37ptude 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 a horiz5ztyv+w wqac ;aq0c zc;(e/+ wontal, frictionlescw5w a+z; q+(qyezat;wc0/ cvs 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 tz/ s,mvn9fn; pb6*gcj o 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. At what location are the kinetic energy and mb/vj;scn 9 6ngz,f*pthe potential energy the same?

  A 2.0-kg mass is attached to the end of a horizontal spring of spr:zm4b7.1js tokfo 2nutd 5vi9ing constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the total mechanical energy of this sys7 z2.9b:d 5suk1 iovnftt o4jmtem?

  A 2.0-kg mass is attachj8s831 l dc0 mo9xrcnzed to the 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 total mechanical energy of this s zj3o s88n0cmcdx19lr ystem?

  A mass vibrates back and forth from the free end of an ideal spring ofu 6 +anj ;vc-dcyac3)0xl8dhs spring constant 20.0 N/m with an amplitude o ;dv-8u s0y cc6)x3j+c halndaf 0.250 m. What is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring qemlslmhv:;)et2 fgq/h, p3; system is displaced 10 cm from its equilibrium posi 2hh qg;l 3qt,e/:)slvefmmp;tion 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 attached to a spring of spring constant 10 N/m. .y.7 shanez x)8u -xjv7.sjkm The object isej-7k.nv7xhs yux .am z. s8j) 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 to a spring of spring constant 10 N/m. The objp9gv f3 )h+lqza0ol.xect is displa+h9) l l azx3.v0opgfqced 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, displacedfh*-ll: 38d n v)msmef slightly from its equilibrium position, and released. What is the frequencyv:msl8d-l 3fh)n*f me of its vibration?

  A mass is attached to a sprimvt a7 +5dn8wgng. 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 at 7nwmg+ v58dmass?

  Two masses, A and B, are attached to different springs. Mass A vibrates with ; sl3 .gti8bw85z hwgs 91oxuyi;kt5namplitude of 8.0 cm at a frequency of 10 Hz and mass B vibrai98o;zgw 5kntgu.; si5 s1btxy 8w3h ltes 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 sprin z0bmeo*5+uqz ans a1hq:bui vy)*1d1g. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0z1 b :bud us*q m i1e1hyq+aov5n*az0) cm down and released from rest. Calculate the period of oscillation.

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass stretlq.qw6u lngsk+9xs-i 2 t+sm.ches 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 total energy.ll+ ssngt.q mk-62+9uiw qxs of the system.

  A 0.30-kg mass is suspenz q o )0ccj3bs8y:aib;ded on a spring. In equilibrium the mass stretches the spring 2.0 cm downw8c;0:y ajbc3)sz bioqard. The mass 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 followin-) gul;cftfwx2 2w bw.g position versus time equatio bw-w )x 2utc2g;fl.wfn:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the fi kk 8d.h.xu*ss alz: lfq-1;l 00ncpoollowing position versus time equato1;i0kpu lq.8kc:ls* 0an.f slxhd -zion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following positiony pw.vgc2w(-pa( i iu* versus time equationy u-cp i avww2g((.p*i:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring pzcb44lmw p4iy6h x(.60 mhbg executes simple harmonic motion accor4b6bp4yz. c(g 4mmwiphx0hl 6ding 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 con;:fsd lsm hp-0/m cq-ostant of 20.0 N/m oscillates on a horizontal, frictionless track. At t= 0, the mass is releaseds mspl;mo/-fc0-:d h q 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 complet8wtae l*/t 9sne swings in 8.0 s. (a) What are its frequency and period on Ea*/s9ne tw 8atlrth?

  A 3.00-kg pendulum is 28.84 m long. Wh j bd(k ceve0s0t6y9np,-mr7g at is its period on Earth?

  A pendulum has a period of 2.0 s on Earth. What is its lengj z7x)fte47lkkj 6p42 znm9 si .nace,th?

  The pendulum of a grandfather clock is 1.0 m long. What is i;590o,nkhmc b qld qn)ts period on the Earth?km95qbdl) 0h cno;qn,

  The pendulum of a grandfather clock is 1.0 m long. What is its period on the 3i8fxea* th.o2.:a n09wmq mlrq7gw lMoon where the acceleration due to gravity is only w o90 g8li: *w3.l.mhf tr2qmna7xq ea$1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass att) cg)zldg,8ft(ejo/ tgs, p.xached 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 refl ,zs8g cj)/ (to.p)detg ,gxsulted 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 initi h3zixy v.lr/9i6a .w)wu n2qbg-m l9sal angular displacement of 8.0e. It oscillates with a period ofv6l.ul 9whib9i)axgmnr -2y /3q s.zw 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 wav 5 fc7kqizh;e*z-x05 v. vsaqcnt8v/m e at a given time. The frequency of the wav 8eknz*t q5vcz.-/ csqf v50a;ivxhm7e is 120 Hz. What is the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a giv;qy.eeplctb6sxl0/.ry xi : 6z67 pk den time. The frequency of the wave is 120 Hz. What 6tld. c:z i;x rx0eeyq/yplsb k66p.7 is the wavelength?

  Figure 11-2 is a "snapshqp-y:kciol.iml3n9qqkg 32 tv 6r* *hot" of a wave at a given time. The frequency of the wave is 120 Hzhc6 kv .3*kigrl:m2nt olyp-* qqqi39. What is the wave speed?

  What is the frequency of a wave whu3 bx 9:jzjo 3-nvb88jd8tn7yulmdi5ich has a period of 6.00 ms?

  What is the period o d)bq2 ive/8 p,fud;htf a wave with a frequency of 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz +nmuje 2v:tp2f is5)g and a wavelength of 3.):2pmveng i2us5 +tjf 0 m?

  What is the velocity zztpv2,i )6o vof a wave that has a wavelength of 3.0 m and a frequency of 12iv)2,6poztvz Hz?

  What is the frequency of a 2.5 m wave travelinqo rvlppe30- r9 qh*z0g at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is under a t ndvhh5.y*1;q8wo 2yci-dz ,yyff sg6ension of 1350 N. What is the wave zq6 i8o1 nv *y5yf-.,hgh2cfyw;sydd speed?

  A string of linear density 6.0 g/m is under a tension of 180 Ncii ullv-g.wlm7j- qulc5m308i)v l kpf(z 1,. What is the velocity of propagation of trans p .,l) ulfiwim u(jglz5vc lmc3v08q1ik7-- lverse waves along the string?

A wave whose wavelength is 0.500 m is traveling down a 500 m longbg 1c li) vv;4j3 y/,khbw/nrg wire whose total mass isbj lg/ yivn1;vck3)h /gr,4b w
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 wavekc -;cy is-*gh on a 2.0-m long string fixed at both ends is 200 m/s. Wh;sh ic* yc--kgich one of the following is not a resonant frequency of this string?

  If a guitar string has a fundamental frequenro0 h04x(szja, gf+d6w3u-g w,cgfqmcy of 500 Hz, which one of the follocg-hfor0f(+ m 0, 34jxwgau 6 s,wzqdgwing frequencies can set the string into resonant vibration?

  A stretched string is observed to have fg jo9j+ uym310m4 t m28os-cq*ncxnhtour equal segments in a standing wave driven at a h m+nm1 cn* ogc mu8t9toyx4jsj-q3 02frequency of 480 Hz. What 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 w9r(cfeine3i6.es f 2xa)k u pq+;gek)ith a standing transverse wave pattern +q )3scir;k )2epkefx. 6iune9(ae gfcontaining 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 4fybkuph y;sujesudr)42v g2)6 +pp3N. What should its length be if its fundamental resonugk23 644d )+sh ppsef2yupv;ju) bryance frequency is 220 Hz?

  Find the first three harmonics of a string of ztm(d ;dm0f0d linear mass density 2.00 g/m and lengddzm m(ftd0;0th 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 strinh72 l olqcs j4in*) g:)nmcft1g vibrates at a frequency of 85 Hz, a standing wave with fivenjl:*g qscm4lhi721)) ofn tc 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.