The time for one cycle of a periodic proceksl*29/4wc;2 iq8dxncr ceojss is called the

  For a periodic process, the )9np t8cq8xsz:vjz dlc8*vn2 number of cycles per unit time is called the

  For vibrational motion, the maximum displak,oclju ip;g-: fe:ord3 afw2 g5gq63cement from the equilibrium point is c, gfwkf3lc 2joq:ga- e3:oid56pr;gu alled the

  A mass on a spring undergoes SHM. Whe m d +f./hl+6cx3vofvzn the mass is at its maximum displacement fro l+d+z 36.co/v fhmvxfm equilibrium, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass 3a,x+7; yjxvqzx9 mqo5(v,oggzb kw 8passes through the equilibrium position, its instantx8+vyzxz,aqwbgvgoq 7o, (x jk m5 3;9aneous velocity

  A mass on a spring undergoe4 kuw um f14p17:s0lyh4fb xwos SHM. When the mass is at maximum displacement from equilx7u14f uk40fhmy:s4 wlpb1 owibrium, its instantaneous acceleration

  A mass is attached to a vertical spring and bobs up and dow;foqys*7 ii8 uu*iq9ku j*dy; n between points A and B. Where isy*y * s;if* q kiuuj8;97iqoud the mass located when its kinetic energy is a minimum?

  A mass is attached to a vertica2il11jo 9che ogli)l6 l spring and bobs up and down between points A and B. Whercle ijoo61)h1l 9ig2le is the mass located when its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up andy(3 p 4uxgh-7t0nowllc1pn;g down between points A and B. Where is the mass located when its potential energy iso x3t-c1g4lwp 0uy lgnp7h(;n a minimum?

  A mass is attached to a vertical spring and bx7b :(kh ls(csobs up and down between points A and B. Where is the mass located when its potential energy is a malk x7c(sh (s:bximum?

  Doubling only the amplitude of a vibrating mass-and-spring system pr pm. ahbvc+k8 rdlxh*(4 bw4:soduces what effect on the ssa b(xwl:c4 h*.8rhvdmkp4b +ystem's mechanical energy?

  Doubling only the mass of a vibrating mas.6 wiz/if0 a sh+/kdmps-and-spring system produces what effect onk/sf/i60m. ahwd pi+ z the system's mechanical energy?

  Doubling only the spring 09zsu04mdim qno 1r*mq:irr/iw um8,constant of a vibrating mass-and-spring system produces what effect on the system's mechanical energw8 unzs:4 m diirr1rmmuq0q0i,*m /9oy?

  A mass oscillates on the end of a spring, both on Earth and on the Moon. Where ) 18amq p ztaa2qu(5 s5w.pytg)a(pta qu5g1ym a2qtpzw.8 5sis the period the greatest?

  Increasing the spring constant k of a mass-and-spring system z mg m3r9z5e4.nag(dbcauses what kind of change in the resonant frequency of the system? (Assume no a9d( 5.3gr mz ebnzmg4change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system causes what kind of change in .1wdla;5r (,kbm3ppr1w ex wpthe resonant frequency of the system? (Assume no changawpe(1mw3.p k dp;1xrw b,r5le in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system causi hl9d2a;mr xjq-a:w*.me8to es what kind of change in the resonant frequency of the systeedo;r qijam. h :x9* m28-tlawm? (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 consists of a mass M attached to a weightles/5 kisw(y:empcabx. /-ms/ *.wgahiys string of length L. For this system, when u:wbcm/yx. ia mi s/-*ky5w p(h. /egsandergoing small oscillations

  When the mass of a simple pendulum is trid6kfebxnf ptcp / nze) v-;rc 1s/,6z8fnkb /8pled, the time required for one complet1z6cfnn/- npkf/)pkcedr8t efx6 s ;v b,b 8/ze vibration

  Both pendulum A and B are 3.0 m long. The perjnkth)mcix( l z(0cfp9qmg8e8f 15s9iod of A is T. Pendulum A is twice as heavy as pendulum B. What ipxs z(q )8hlm f0ig9kcj18c (9tfn5mes the period of B?

  When the length of a s/k v* 4 3q*c /yv;-uahrivajljimple pendulum is tripled, the time for one complete vibration inci/h-;*qvy auc /lk*jv r a43jvreases by a factor of

  What happens to a simple pendulum's frequency if both its lengthz , )(3csoyuxo f*)dcg and mass are inu fog( x3zccs,yo)d )*creased?

  Simple pendulum A swings back and forth at twice the frequency of simple pendu2 w0oy g83fuxcqg 5e(g7 wk(kpm**unzlum B. Which staf5czk*(eg 0 8mu xu27 3gq*ngpwowk(ytement is correct?

  If you take a given pendulum to the Moon, where the acceleration of gravity ispg 3pfcbmd)bi p d4v6;8k r)g7w (8vlu less than on Earth, the resonant fre6pvgdpdiw3fugb 87pr)(c)bm k ;vl48quency of the pendulum will

  Curve A in Fig. 11-1 rrtsmmy8i 4r xf06h 9;g)esa a2epresents

  Curve B in Fig. 11-1 representzkl(0ablg9 ijpy21)q j3 gc 2f*o-qhhs

  Curve C in Fig. 11-1 repm2h-7.znr dwa (yx5q)ld0vt presents

  For a forced vibration, the amplitude of vibration is found to depend on the0n ib k.67gzdhhptj +/

  In a wave, the maximum displacement of points of **ie0y*az j8ah mulp ;the wave from equilibrium is called th y0h ;e*8zpmaa*i*jlue wave's

  The distance between successive crests on a wave is called tsobp/yj7ecrbg z- qa/;r1559f k ;k ve7ik+ wqhe wave's

  The number of crests of a wave passing a point per unit time is called thtrnssu, 6j:;o qqy8x9 br0absj 2rp6 kfpn ;(,e wave' s,jpnf2 r:0r 6, ojsab9xuy n;qk;6pr 8(tbqss

  For a wave, the frequency times the wavelength isg)*4 v8 vdvo k;b gz0z+r/tswo the wave's

  The frequency of a wave increases. What happens toibzl1 ifhabeg -od,by6 l5c55/hcq// the distance between successive crests if the speed remains constant?,he/-/fb5czi 5io 6bc ql/1h5gdy al b

  A wave moves on a string l,qo5yrwc3mca +x*2j with wavelength l and frequency f. A second wave on the same string has wavelength 2l and travels with the same* c jom,qw clx2y+5ra3 velocity. What is the frequency of the second wave?

  Consider a traveling waxn:trvm9w ghhum3/.29mut2a ve on a string of length L, mass M, and tension T. A standing wave is set up. 92w3 maxu vg2n 9 thu:r.m/hmtWhich of the following is true?

  A string of mass m and length L is under tensionbplk; (* ryho5 T. The speed of a wave in the string is v. What will be the speed of a wave in the string if the ma ylkbpr(; h5o*ss of the string is increased to 2m, with no change in length?

  A string of mass m and lengt 5b+nkxy0bfouqv6f )k)p41,.gchjx 3k 3jip zh 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 tj gkzcx3f4x+ fq )5.p1vpoh6kk,0j 3uyib)bnhe length is increased to 2L, with no change in mass?

  A string of mass m and length L is under tension T. Theokt21,f*s :ftn7n me0dkufnq o15,il speed of a wave in the string is v. Wntfof dte0us751n,lim1 k2,n: q k*ofhat 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 travels through tyt3a9 qll7lirwunn;entff5* 0.h0 5 fhe Earth, the relative motion bet 7f r5 03.ylhtt9eflniln0qfn;wa *5u ween the S wave and the particles is

  In seismology, the P wave is a longitudinal wave. As a P wave travels thfqtl 3qrs73)9* k p-mfvi3sj mrough the Earth, the relative motion between the P wave and tt3)qjl3pssrmik 3m7f9*v -q f he particles is

  The intensity of a wavebdy(gr)75jyd is

  A wave pulse traveling to the right along a thin cord reaches a discontinuity(6h ( x4huzpox where the rope becomes t ph(64xhuxz(o hicker and heavier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with )x wc jv1d)tdvg:se-8 equal positive amplitudes pass each other on a string, one is traveling to- :xvv 1j)t8 edgsc)dwward 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 on a string. The o) nopi/ws o+b/ne traveling toward the right has a positive amplitude, while the one traveling toward the left has an equal amplitude in the negative direction. At the point that they occupy the same regioo/b+no s)i pw/n of space at the same time

  Resonance in a syste sas,2rzm:7d em, such as a string fixed at both ends, occurs when

  If one doubles the tension in a violin string, the fundamental frey ct:- dv66wza2 n7aze-ad 4oyquency of that string will i:ne2acdt67y6a- yvoz ad-4wz ncrease by a factor of

  What is the spring constant of a spring that stretches 2.00 cm whe5fj.r-d; y w/qp yg :m+baldo2n a mass of 0.6g 5b.yddq+p:w fray;j m o-/l200 kg is suspended from it?

  A mass is attached to a spring of spring cons3n*(n zitupg8z:. ic vtant 60 N/m along a horizontal, frictionless surface. The spring is initially stretched by a force :g8c iiuz 3v z.npn*(tof 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 spring of spring constant 60qu: 8-a2uork*l s-nvb N/m along a horizontal, frictionless surface. The spring is initially stretched by a force of 5.0 N on u-nub-* oas v8klrq2: 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 l,g 15tdpatpk oa.j(* of spring constant 60 N/m along a horizontal, frictionl,5o.t k p(gtdjaa*1 pless 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 oscillation?

  A mass on a spring undergoes SHM. It goes through- j34cmihlux 5 10 complete oscillations in 5.0 s. What is the pe3 4ljhcxm-5 iuriod?

  A mass vibrates back and feob-i ugz;6zq97j t h96h/stke m7v5corth 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 ziuh7kgo9 eq t5m szt;-v/6c 6jhe 79bmass when it is 0.30 m from its equilibrium position?

  A 0.50-kg mass is attached to a spring of spring corz x9d-9 -uea5r us7y kj0:vufnstant 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 d -50a urus y vj79xf-k:uz9reposition. What is the total energy of the system?

  A mass undergoes SHM with amplitude of 4 cm. The energy is 8.0 J at thi6x6 owb1 itybt,pho6c 36v, nxs time. The mass is cut in half, and the system is again set in motion with amplitude 4.0 cm. What is the energy of t,3wxcntb6 ooxp 6b66hv,ti1 yhe system now?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m along waiy qi-k2mb9 e7 )-joa horizontal, frictionless surface. The obqm2 e-9yoa)wbk i- j7iject 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 sdz,4 ( vc3uqbbpring 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 thu b,z vd4q(b3ce equilibrium position. At what location are the kinetic energy and the potential energy the same?

  A 2.0-kg mass is attach ln8.h;to0( x m8eo46v9clo m/fgvmnfed to the end of a horizontal spring of spring constant 50 N/m and set into simple harmonic motion envhntxom 4;mm9v (l8olo6 /8ffg.c0 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 hwc61s/vdc9nv snu/g)we* 1bel+vek /orizontal spring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the total mechanicalkvebsg e/*1v1dnwuc/ )ws6 cl /ve9n+ energy of this system?

  A mass vibrates back and forth from the free endz g*ax 4yv0vf7bv 87hq of an ideal spring of spring constant 20.0 N/m with an amplitude of 0.250 m. Wha*07x8fva 4q yvgbzhv 7t is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring system is displaced 10 cm from its equilibriu:ad6yy5y mwt cr tz4 j3d6lj/1m position 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 1 cyj5l:4t6ay/ jdymr 3w dzt6and then released?

  A 4.0-kg object is attached to a sp fb p(tq dm hj2cj:.jxj9*nc3t)7dir,ring of spring constant 10 N/m. The object is displace3 .,hi(djtbjc 9f tx2c)*pm7 j qnj:rdd 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 sprals )-bigkx mn8;0fnl; o2n 1uing of spring constant 10 N/m. The object is di8s-m1;g2anklxlui)0 o;b n fn splaced 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 slightzhfz5)s4lt p18 aj +otly z+l f4jsa)15oh8ttzpfrom its equilibrium position, and released. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequency ovc x xi474,ansf 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and i n4x7asxcv,4 released. What is the maximum velocity attained by the mass?

  Two masses, A and B, are attache2o,su,jaxpkn5 z 8pw o0+w-t od to different springs. Mass A vibrates with amplitude of 8.0 cm at a frequency of 1aponzjw+x tws0p5,oo2 8-,ku 0 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 spring. In equilibrium the mass stretches th*b+7 gcek3)b-zc sqave 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 of os7 qb)-bk acg* szvc+3ecillation.

  A 0.30-kg mass is suspended on a sprblzyq3 0mv d219c6x7ue2myn es4t tm5ing. In equilibrium the mass stretches the spring 2.0 cm downwyt1n2vyuzcm9eqx 630b 4 5teld2m7m sard. 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. In equiliv+ul+z,;h p4d4a et lebrium the mass stretches the spring 2.0 cm downward. The mass is thenl+ve4t,p+;z ua4 l hde 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 position versus timex3k1b ai x;vhscnv-x6i)o*n2 equatiov*snk63) 2acxibiv1o x;x nh-n:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple hbjz7 i30d. v9wx esm+marmonic motion obeys the following position versus time equ3 07.+zsmxj emd 9bwviation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following position ver7 9,r lmej b*a1mdu5nrsus time equatio9mbjdr r*an15u7em, ln:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end ofoe0v4( g9tsdb/q v1bt a spring executes simple harmonic motion according to the equatidgevboqt (/vst 401b9 on $y = 0.50 \; \sin (18\pi \times t)$ where y is in meters and t is seconds. What is the period of vibration?

A 1.5-kg mass attached to spring with bmnf57 cl*or q6ys;3ua force constant of 20.0 N/m oscillates on a horizontal, frictionless track. At t= 0, the mass is released from 36 5moslnfuqr 7c; *ybrest 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 swings in 8.0 s. (a) What are its frequenc vk((iw bwmz23md4r 35r x40rtre 1eugy and period on Ear53iu kxtbem w(321m 0rdrr vr 4w(4egzth?

  A 3.00-kg pendulum is 28.84 m long. What is its period on u1z/sky13j 38ko +ar 9vgmik +el-lxx Earth?

  A pendulum has a period of 2.0 s on Earth. What is its lengiu,h 4j4(8h cgzki2ffth?

  The pendulum of a grandfather clock i+fevdu 0eg8/k-qxc y6s 1.0 m long. What is its period on the Earth?dkf /6eecuxqg-yv +08

  The pendulum of a grandfather clock is 1.0 m long1gcqfnt :8i /c,a 5( qyimtnn-*ivwj35v+iji. What is its period on the Moon where the i*q+v:n8cnvmait (c/jqg jin3-5 51tiw, i fyacceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spheriv sp+p8x( qhb.lsqpk7pq d p,,2*ips:cal 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 fr7 sq+(kvq phpp,28bi*dl:p sq .x,spp equency 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 angulbod2vk(ef75-6ll dhw ar displacement of 8.0e. Ito(dbd l756efvh k2w-l 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. 8cx:di ib3:om fc+s)hThe frequency of the wave is 120 Hz. Wi8cdb:) os +hxf i3:cmhat is the amplitude?

  Figure 11-2 is a "snapshot" of a wave at 5rz3f;1lu xh37lfgh sv2id9 t.cb lj( a given time. The frequency of the wave is 120 Hz. What is the wctdh3( h7jfl l;5xv3u92i1g. fbrs lzavelength?

  Figure 11-2 is a "snapszzu s.6kv7 :a tni(p-whot" of a wave at a given time. The frequency of the wave i6:aspku- z ivn(.tz 7ws 120 Hz. What is the wave speed?

  What is the frequency of a wave which has a peri:np6:ni pao(7 ju3vgtod of 6.00 ms?

  What is the period od0mlykt9ev, *lsd).ez tha3-f a wave with a frequency of 1500 Hz?

  What is the wave speed if a wave has a frequenc)7zs- +fw gwie;6*vta v1jvfy y of 12 Hz and a wavelength of 3.jawt-*ivy) ;wg176e+s vz fvf 0 m?

  What is the velocity of a wave that hauv7(jp 3rtx v9s a wavelength of 3.0 m and a frequency of 1jvp3trv 97 xu(2 Hz?

  What is the frequency of a 2.5 m wave traveling at 17rh qq4tk ,fryujc7b)g5 i05a 400 m/s?

  A piano string of linear mass density 0.0050 kg/moozuyy* ey;7 h5/i5as gu70bxsdzl54 is under a tension of 1350 N. u47ey;zgxso5uhyso /0* la55byz 7diWhat is the wave speed?

  A string of linear density 6.0 g/m is under a te ls2;(t 3sw/ 3kc0lpxr8x ek yo/jiua0nsion of 180 N. What is the velocity of propagation of transverse waves along the k0ekl 28;xtpl3rw/0jca xio(us/3 ysstring?

A wave whose wavelength is 0.500 m is traveling down a 500 m long w6uc jdqcuz0l)-( jqk-ire whose total 6ck-ucdjql -z)0uq j(mass 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 onjjv- : s2x)wrn a 2.0-m long string fixed at both ends is 200 m/s. Which one of the following is not a resonarjn -j :)2xvwsnt frequency of this string?

  If a guitar string has a fundamental frequency ofd8ysl .mhp-9tgwl1tt djjmr4+i rk. 9m(2 2fh 500 Hz, which one of the following .(m9h+ tf9jdm2miw 1d4 tsr2jgp- .8lr ht yklfrequencies can set the string into resonant vibration?

  A stretched string is observed to0eli+l13c i1pfz5 bnz have four equal segments in a standing wave driven at a frequency of 480 Hz. What driving frequeifl+p3zl1inb1ez50 cncy will set up a standing wave with five equal segments?

  A string, fixed at both ends, vibrates at a frequency ofu cos;q/ nmg81 12 Hz with a standing transverse wave pattern containing 3 loops. What frm/s 18ocn;gquequency 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. W 5*patpnb 1z*lhat should its length be if its ba nl1z5p tp**fundamental resonance frequency is 220 Hz?

  Find the first three harmonics of a string of l -ov1rn8.pe(oca7 ubzinear mass density 2.00 g/m and lengpra bne(uvco 8 o-7z1.th 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 p9a)zx3r v5i9 /k6e ,d6gqq s m3jnysxstring vibrates at a frequency of 85 Hz, a standing wave with five loopqd/ k)seq6x9iny,xrzg95pv3m j a6 s3 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.