The time for one cycle of a periodic process is called(ccjl1r.+h k-t zswiz4 yr --q the

  For a periodic process, the number of cycles per unit tim-rt f,:kluxf/q f)kf-e is called the

  For vibrational motion, the maximum displacemed791yvk yhwbl+ehf4t7n8*us nt from the equilibrium point is calehfwlnbyu 179dh8 svt7+ 4*y kled the

  A mass on a spring undergoes SHM. When the mass is at its maxim4v i9rj5z m+lwum displacement from equilibrium, its instal+wvm5 4zi9rj ntaneous velocity

  A mass on a spring un .dz ;7qruux9e9jvm ubw6 0f.sdergoes SHM. When the mass passes through the equilibrium position, its instantaneous vzu; m.dw79 x jb.qvsfe960uruelocity

  A mass on a spring undergoes SHM. Wfhtzvxk )3+ ylf/(1orhen the mass is at maximum displacement from equilibrium, its in3v(k+x f1lh)r ofzyt/stantaneous acceleration

  A mass is attached to a vertical spring a8f jbosr2/6myjs8v:g nd bobs up and down between points A and B. Where is the mass located when its kinetic energy gy m/j6 2rsb8jf v8os:is a minimum?

  A mass is attached to a vertical spring and bobs up ybnenw .pj+zh;b -71 xand down between points A and B. Where is the 7;xwj-hb+ bep1nzyn . mass located when its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up ass23ec/ z fi m9uf/2am)wwzz -0q(rjand down between points A and B. Where is the mass located when/m9e3zqsu r2 zs-ai(ma0ff 2z c jw/w) its potential energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down between pointp2* cge-k6jy- vwf,ips A and B. Where is the mass located when its popycwije v6 -2g*f-k, ptential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-spring syste9:f a. xvnzt,em produces what effetf 9a xnzv,:.ect on the system's mechanical energy?

  Doubling only the mass of a vibrxu ca4 7n.-p,wqk4ogpating mass-and-spring system produces what effect on th7 -.onu4q4p gpcx,wka e system's mechanical energy?

  Doubling only the spring constant of a vibrating mass-and-spring ) -n xoum38)z6kbpnoysystem produces what effect on the system's mechapmn-6 xn8)uz yk)b3oonical energy?

  A mass oscillates on the end of a sprimrw4 c..tg5vs (ur-u t;xwn7mng, both on Earth and on the Moon. Where is the perio.g;7m4 s5n cmvtuur-x(w .trw d the greatest?

  Increasing the spring constant k of a mass-and-spring syc):i6gfot gp a,wj94hstem causes what kind of change in the resonant freqti hgwcap:4)9ofg j,6uency of the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-springllyoy2(9 3oj: ec)gav system causes what kind of change in the r9ayo cy2(el: )l3vgj oesonant frequency of the system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system causes what kia9 os8ppa-)abh5 nn k :h-x0pxnd of change in the resonant frequency of the system? (Assume no other a95:h8nps)x p -hb0-x kanpaochanges 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 weighig 73zgo1hts) l6,lp8gq :*w/i wn ubmtless string of length L. For this system, when undergoing small oscillati i6w8moqunl 1z)7:gwt, spihg3gbl* / ons

  When the mass of a simple pend 3u(a+n: fqgts nd(jl3ulum is tripled, the time required for one complete vibration(qtufg3:(+nl sdna j 3

  Both pendulum A and B ac6d o( y3gv6vfre 3.0 m long. The period of A is T. Pendulum A is twice as heavy as pendfyocg(6 6 dvv3ulum B. What is the period of B?

  When the length of a simple pendulum is tripled, the time for one completew i4 ghlhp7, rcv65(l ce(jx2p vibration increases bp2 rplhh6w 7x(4jc5eil,v (gcy a factor of

  What happens to a simple pend6yr 1hx7om*:qk r10rx pra kt2ulum's frequency if both its length and mass are increasey6kt:a7 rrro1rhmxp 1 x q*k20d?

  Simple pendulum A swings back and forth at twice the frequency of simple pendulusz (.n*pp.syty6l ,ipm B. Which statemepsips.zt6 ,*. (yynl pnt is correct?

  If you take a given pendulum to the Moon, where the acceleration of gravi dwo719 n* uixhu2ym ah1+d-outy is less than on Earth, to-xdw 211ohh+i7u9 u *u danymhe resonant frequency of the pendulum will

  Curve A in Fig. 11-1 reqkcv92v67 tuh presents

  Curve B in Fig. 11-1 reps2eq3* d:l3 b./4glax9 x dw1epbdorzresents

  Curve C in Fig. 11-1x4pf ;/o8pk+qw wg 29cvy3ah v represents

  For a forced vibration, the amx7(eg 2-mvem bplitude of vibration is found to depend on the

  In a wave, the maximum displacement of points of the wave from equilikzb l f4gdr+ecmy kh7vj4 rm:5-;0e m9brium is callev7emk eym-4b;zd 9j 0kcr5hfl4+r gm :d the wave's

  The distance between successive crests on a wave it h;xqh;faf mx) l0(x9s called the wave's

  The number of crests of a wave passing a point per unit time is called th3 mm9 u22zj( 0x-xs4bcl,ba ktbvcxu+e wave'-j2v(u a cmubz2b+4x,9smx 0kx b t3lcs

  For a wave, the frequency times the wavelength is the;p-j 4vik l;* rwb .yhsjizj 5rv:*r:k wave's

  The frequency of a wave increases. What happens to thpoe 5+r19l3denwocr.q t-o s:t34t poe distance between successive crests if the speed remains con.3qdolr5s o94neote-:t1+p orw3t cpstant?

  A wave moves on a string with wavelength l and fr) 5gw 35,wp q)2*d mcn zld(g5ybzvgdyequency f. A second wave on the same string has wavelength 2l and travels with the same velo2bz qwc5dnwd5 v( l)dgm,pgz5 )3gy *ycity. What is the frequency of the second wave?

  Consider a travelingfx6t/. karzjbrb2q :( wave on a string of length L, mass M, and tension T. A standing wave is set up. Which of the following is trueq x zbj:kt b62(./rrfa?

  A string of mass m and length L is under tension T. The speed of a90 vtkofza*d7)ve s1 j wave in the string is v. What will be the speed of a wave in the string i9j v7)1fte0kosd *zav f the mass of the string is increased to 2m, with no change in length?

  A string of mass m and length L is under tension T. The speed of a wave pgnpt 2s29j83 ova:zhin the string is v. What will be the speed of a wave in the string if the length is increased to 2L, with no p8g s n:zt3vh2p j9o2achange in mass?

  A string of mass m and length L is under tension T. The speed of a wave in th)mr;ac em:6ftf(,k bd e string is v. What will be the sp rk) ab:fm;,dmf 6ect(eed of a wave in the string if the tension is increased to 2T?

  In seismology, the S wave is a transverse wave. As(gz flj2jhnp ;r46zyu 4c*kg* an S wave travels through the Earth, the relative motion between the S wave and the particles i jngj4hr(zz y2lp;u*f cg*k64s

  In seismology, the P wave is a longitudinal wave. As a P wave trozkw:4 *-ek/m9 c;j* hrljn bdavels through the Earth,nbe9hdwj4*mz /- *k k: ro;ljc the relative motion between the P wave and the particles is

  The intensity of a wavsh hygu6z8-7 ve is

  A wave pulse traveling to the right along a thin cordzjnj zv/ adc 28ul6*0o reaches a discontinuity where the rope becomes thicker and heavier. What is the orc* 0d8z6uval/ n2jzoj ientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each other on a 2,vyzmj x:utea4ms- coco6,* 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 the same*2ym j uo,meos4v x,ac6z- tc: time

  Two wave pulses pass each ovx 5/ vugtodf l7d/z(, 3hqqi6ther on a string. The one traveling toward the right has a positive amplitude, while the one traveling toward the le lx tdh,q(vd5/7 z6/vu3go ifqft 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, oc9kjrjw9 u ::tpcurs when

  If one doubles the tension in a violin string, the fundamental frequency oc j q;x(iv0ur.ovk,s+tkjy9 5 zwu/3ef that s3u;s0zyv ,(rt9jjexk/u o. c+viqkw5 tring will increase by a factor of

  What is the spring constant of a spring that stretches 2.00 cm when a ma ,c5vykww6cn 2ss of 0.600 kg is suspended from it?c6 ,kww 2cvy5n

  A mass is attached to a su2 hr;h im1qa -q9a /9axjl0otpring of spring constant 60 N/m along a horizontal, frictionless surface. The spring is initially sthqh1-jxl /ut a0ra 2 9om;9aqiretched 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 sprin q;p*n,t :sn8f ysjyod8gzb: 89mi6mjg of spring constant 60 N/m along a horizontal, frictionless surj;mi86y*s tj 9n8g zq ynmdpofb:,: s8face. 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 period of oscillation?

  A mass is attached to a spring of spring constant 60 N/m along a hohrvo/d4pf q f7 ien:9qx7m. t9rizontal, frictionless surface. The spring is initially stretched by axfp/i 47:t.dh7foq n9v9 er mq 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 10 complete oscillatiol avorpc;t0g+ a/ne;3ns in 5.0 s. What is the per0p;l3oaav c +n/ rte;giod?

  A mass vibrates back and fortca8opo4qq75kyu +9by-gu39dnb sp5wo 9 (zcth 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 ipbk(o35u 9y5 w+- 9ybgp 984c dotqanzcsqu7ot is 0.30 m from its equilibrium position?

  A 0.50-kg mass is attached to a spring of spring corky2-*g hoga/bm 6bwez5;u8 nnstant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonicwnozy2mgb au*-hre8 /k6b 5g; 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. Thzox qos)bx.4 ( j5z5/ lanzk-ve energy is 8.0 J at this time. The mass is cut in half, and the system is again z4bv(z5n s5.a)xokz/ql j-oxset in motion with amplitude 4.0 cm. What is the energy of the system now?

  A 0.50-kg mass is attached t uxioi,hd 6*di td7)/eoqh61oo 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 amplitudex* )1d iiu 6o7e q6h/t,odohdi of vibration?

  A 0.50-kg mass is attached to a syem+ e2on1 zb a1.za:xpring 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 .be 1eam2:oy n+zx1azat 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 constaz4eyz7ix6(z 2 0nyzew nt 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. Whatzy6ize2 (zy4z we7x 0n is the total mechanical energy of this system?

  A 2.0-kg mass is attached to the end of a horizontal sp/omp+ns .t:o yring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of .n+ypo :/ots m0.10 m. What is the total mechanical energy of this system?

  A mass vibrates back and forth from the free end of an 20 zpeikwnpej 17x/3gsne*,xmh 0r:zideal spring of spring consxzk 7 g0 ,1m2eepnp/wzeh:0*3ixjnsrtant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring sys(-ars mia9 31yrdvd5 mtem is displaced 10 cm from its equilibrium position and released. A frequency of 4.0 Hz is observed. What frequency woad3( a1dr 5i9mryv m-suld 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 o 8lkrdloc/6t*: odl e+f spring constant 10 N/m. The object is displaced olk*cr do/ld+ 86l te: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 (vqppt *m)m0w. The object is displacevm )(tppmwq *0d 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 Nqzutbgv+ uteh )r s19,)9 kqm*/m, displaced slightly from its )* 9me+,vqk9) 1hbtsg ruqtuz equilibrium position, and released. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates atke8pve qb1obo f38x 862n( cnvza7ys0 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 qbasf vz21vb3 6oc8x 0ny7(ene8k po8mass?

  Two masses, A and B, are attached to different springs. Mass A vibrates wit:xmfs (;a ff3zh amplitude of 8.0 cm at a frzf:f3x( ; asmfequency 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 spring. In equilibrium the w+xf :hra) 7oz4d) twqmass stretches the spring 2.0 cm downward. The mass is then pulled an addi qfx : orww)4)tdzh+a7tional distance of 1.0 cm down and released from rest. Calculate the period of oscillation.

  A 0.30-kg mass is suspe1 a 8dd*dkzm;qnded on a spring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is th az1;dmq d8*kden 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 equilibrium th2vok9 cq:l9txe mass stretches the spring 2.0 cm downward. The mass is then pulled an adq2oclx 9 9t:vkditional distance of 1.0 cm down and released from rest. Write down its equation of motion.

  An object in simple harmcqkb 71c tqoy *(is 1d0brt7w*onic motion obeys the following position versus time equ*tywd(ck0 bq *b7 17qiosc1rt ation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the followingvwiy0y, ympi0 uw7nhz)p.. k7. xgqh- position versus time equatio0w70ywqph . x- 7hugi,n)k z.iympv.yn:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obe9 y z*8mk-ywr2bhyyd0 ys the following position versus time equationyd -km28yhyyb z0*9r w:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executesngb7, ;n mzk v 10ka0zzh,t(1sbl6jh j simple harmonic motion according to the equat sg mhn kl zbnkb,hv1;0zjj 60z,1(at7ion $y = 0.50 \; \sin (18\pi \times t)$ 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 oscillatnrnpz -b*; ub4le*ca (es on a horizontal, frictionless track. At t= 0, the mass is released from rest at x=(c bnuzn ea;b *-rl*p4 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 swzqu9(lm2 u-3g xelh xba4p*9kings in 8.0 s. (a) What are its frequency and period on uq9a29x*lm-3z ke g 4blpuh(xEarth?

  A 3.00-kg pendulum is 28.84 m long. What is its period oggpo rsbf00bfh8 kx;nwu8)d;26x b:o n Earth?

  A pendulum has a period of 2.0 s on Earth. What i gi6cyr7 vco4+uo:/y pnlb:o 3s its length?

  The pendulum of a grandfather clock is 1.0 m long. Whatlp7:b ey/ f 5i ,r-d7pyf9p 7qrhlqas2.qx1it is its period on the Eartheis:fqtr2lb ./qyp d hx 91l5paipqr,y7 -f77?

  The pendulum of a grandfather clock is 1.0 m long. What is its period on the -j:4dp9s3 bw4cp /g yvd 5ov:c p0sjxlMoon where the acceleration due to gravity io:/5yp0-j4j9gscdpvl 3s pw d :xbv c4s only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass bb*tm mxyd z(z0jazm)9b-h; xi18 ro2attached to a massless string. When the mass is displaced slightly from its equilibrium position and re i bt*28zjx1abz)z0hbmmdxro;9(y-mleased, 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 a 20-g mass has initial angular displacemenu05pya *e lp8,a* eus9p31 c uhsgl)mnt of 8.0e. It oscillates with a periy)u,l5a u a9c 3pngs m10leue* shpp8*od 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 fhdpy6yh)u :e mk4qfx;,tqs( ,requency of the wave is 120 Hz.qhy;4tpmh )q yd xuse6 ,(:,kf What is the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency of/isr5 jp zj/;t the wave is 120 Hz. What is the jpr5/z;sj/ti wavelength?

  Figure 11-2 is a "snapshotyubeea(mx9) * 1bvm (l" of a wave at a given time. The frequency of the wave is 120 Hz. What l emv(e)b9 mbx*( 1auyis the wave speed?

  What is the frequency of a wave which has a gv k,t/li9lzw*mjs 85period of 6.00 ms?

  What is the period of a wave with a frequency 1uyz+/l*yf o lof 1500 Hz?

  What is the wave speed if a wave has a (1qx zd 5zlaki jn.ir5z)n5/ xfrequency of 12 Hz and a wavelength of 3.0 m?adlx5zq(5nx)zkj.i/i z 5 1nr

  What is the velocity of a wave that has a wavelength of 3.0 m am g9i*4xagjkl6-j5xg nd a frequency ofam6jxk59 i*lg4 g-jxg 12 Hz?

  What is the frequency of a 2.5 m wave trcllvk 9 ,y0dg bo2s4k6aveling at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is under a tensiog 3nb jcb9+w-welt(mwrh5 .a,n of 1350 N. What is the wave speedt( c jgwm,r +ba9b5-w. welh3n?

  A string of linear density 6.0 g/m is under a tension of 12xvbrp u/ugzz90xv2- 80 N. What is the velocity of propagavuzb2-xu/0r29vpx z g tion of transverse waves along the string?

A wave whose wavelength is 0.500 m is traveling down a 500 m lo9nl dc2((let(d ao) rnng wire whose total mano(ad ((e ll)t9dcnr2ss 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 propagah*rowr9xt,r 1)oa t)xtion of a transverse wave on a 2.0-m long string fixed at both ends itx,)ax)tr *h1o rrwo 9s 200 m/s. Which one of the following is not a resonant frequency of this string?

  If a guitar string has a fundamental frequency of 500 Hz, whichrm7o6 /)k p+ rnestlyj., n-di one of the following frequencies can set the string into resonant vibratl nm 7rid.o nkp+) /jts,r-e6yion?

  A stretched string is observed to have four equal segments ice,d0nk)gf xd9+ bpj 5n a standing wave driven at a frequency 0) jx5 p9gdf ednbc+,kof 480 Hz. What driving frequency will set up a standing wave with five equal segments?

  A string, fixed at both ends, vibrates at a frel*gayv.i5)ghc6-) ypz6t*ok ctn hv 6quency of 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency is needed if the standing wag66 )g5o-nat z6hvc * .ky iyt)hlp*cvve pattern is to contain 4 loops?

  A string of linear density 1.5 g/m is und 3l.l(djna4a der a tension of 20 N. What should its length be if its fundamental resonance frequenjl4d. 3(adla ncy is 220 Hz?

  Find the first three harmonics of a/8y a,3tqu;5,ykipik kn p i(l string of linear mass density 2.00 g/m and length 0.600 m when it is subjected to tension of 50 8qk y uk;n,/,(lpk3i5tyap ii.0 N.

A string of length 2.5 m is fixed at both ends. When the string vi8pm9rsa 1 /8d slwit9lbrates at a frequa l8sd /9wr8m 1tp9ilsency 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.