The time for one cycle of a periodic process is cn 8 n5ddz3ug.8qq ee s:hzar605o4ykialled the

  For a periodic process, the number of cycl;rk*md op2ws )x 7tk)les per unit time is called the

  For vibrational motion, the maximul b3c4+sip evlnw8 9t4m displacement from the equilibrium point is calledvp+94 llb3s4 ncwiet8 the

  A mass on a spring undergoes SHM. When the mass is at its maximum dn hzx(wxu -d7v2nkm/2isplacement from equilibrium, vwmk uzxx72 -nh(nd2 /its instantaneous velocity

  A mass on a spring uv p8 k)1zh5z8vjq;v lwndergoes SHM. When the mass passes through the equilibrium position, v)8z15hv k8lwz vqj p;its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass is at maximum displacemencc tj4-bn4et:)dgns * t from equilib:4 cn)4nsjc* gdbet t-rium, its instantaneous acceleration

  A mass is attached to a vertical spring and bobs up and down between poin+/ y yg46ecc/lp.spel ts A and B. Where is the mass locatepye46.pse+/y c/cgll d when its kinetic energy is a minimum?

  A mass is attached to a vertical spring and bobs u6ieei msg y+9/p and down between points A and B. Where is the mass g6 imyesi/9+elocated when its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up and down d.7xz rmzk2c;*(yi( srt0 dzubetween points A and B. Where is the mass located when its potential 27ux.cdrrdi(*yz0 zz k;tm s( energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down bet my s7/znz b*)xmk 1*e/h;eccug0ck8cween points A and B. Where is the mass located when its potcy meu/c*c bz/e8)7h1mksg*kn ;c0zxential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-spring syslrhsjy+:rswyfh dd )z ;7d4 h) 77fcw+tem produces what effect on the system's mechanical energy:)7ch+ wsh dl frz r+7sy)dj4h;dfwy7?

  Doubling only the mass of a vibrating mass-andyqx.z(r z 41md-spring system produces what effect on d4yr1 .(mzzxq the system's mechanical energy?

  Doubling only the spring constant of a vibrating mass-and-spring systeu i daq5a7l,ej6y-,g ym produces what effect on the system's mechanic,, gq6uia lj-d57ea yyal energy?

  A mass oscillates on the end of a spring, both on Earth and on the Moon. Wh8iafpr (rf. k-ere is the periokrf.afp8r i- (d the greatest?

  Increasing the spring constant k of a mass-and-spring s0a3lfbf/7x-6p i z xtgystem causes what kind of change in the resonant frequency of the system? (Assu-0/zbg6 xit fp3l 7fxame no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system causespq5 , bzlvqh e231mg0u what kind of change in the resonant frequency u5m ,epg3v 0hzbl 21qqof the system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system causes whduj65v4 4g eqiat kind of change in the resonant frequencyduij 44 vge65q 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 consists of g0p21p43b44k uzc)xvgnohl j:+m fgga mass M attached to a weightless string of length L. For this system, whengvpk0fh44 j43:op2 lu x) ggmc1bzn+ g undergoing small oscillations

  When the mass of a simple pendulum is tripled, the time requirud660mmhr4m1 g(rvl sed for one complete vibratir vg 6m0 m4ldm6r(su1hon

  Both pendulum A and B are 3.0 m long. The period ofea6 d6k-.teto A is T. Pendulum A is twice as heavy as pendulum B. What iso6- d.etatek6 the period of B?

  When the length of a si)tk+vq0a4a ex)c *mqfkc i m.;mple pendulum is tripled, the time for one complete vibration increases by a c ))k tf;vma.ca 0k*4qq+ mxeifactor of

  What happens to a simple pendulum's frequency if both its length and mass +dpn 6g e-ce3kare incr-d +36ncgkeepeased?

  Simple pendulum A swings back and forth at twice the frequency of simple pendul0 3mivb7brct dqhv43c89bw3 yum B. Which statement ivb m3307ibcc hvr4d38 b9tqyw s correct?

  If you take a given pywd( dsu )n6 b5vu:zg*endulum to the Moon, where the acceleration of gravity is less than on Earth, the6* gsd uz5y (:)vbnuwd resonant frequency of the pendulum will

  Curve A in Fig. 11-1 represee. a gem8548 8mmenodents

  Curve B in Fig. 11-1 repgokyd.cz8 2pub)3c m7aa 887cd a;zyh resents

  Curve C in Fig. 11-1 represh*-bj//aku o n/wl *mbents

  For a forced vibration, the amplituhe7(s1t yj( twq9 v6 ts wl.c;ojndf27de of vibration is found to depend on the

  In a wave, the maximu.fkti9j9qj72xo+ng o i ge2/lm displacement of points of the wave from equilibrium is callonfljt o9i7 kejgx.ig 92+/2qed the wave's

  The distance between successive crests on a wave is calleq xgng4fa4hqs99 a8r0 d the wave's

  The number of crests)hd3t0-igp tpms e)p) of a wave passing a point per unit time is called the wave'0tth)dg)iemp- p) sp3 s

  For a wave, the frequency ti9:/.u94ikdcjr udwpc gojdtid 8 3.-xmes the wavelength is the wave's

  The frequency of a wave increases. What happens +.:a5f hckx.j 9xxkrt to the distance between successive crc+x9.5:x.axj khkrf tests if the speed remains constant?

  A wave moves on a string with wavee )lg re /fghs c:nog.z3 e3(2zlr6rv3length l and frequency f. A second wave on the same string has wavelength 2l and travels with the same velocity. What is the frequenc2ceh3s/frv:ozg 6enr3 l )rzggle3(. y of the second wave?

  Consider a traveling wave on a string of length L, mass M, and ted)g 3;ef3bt fknsion T. A standing wave is set up. Which of the following is tru)fed3tbfk ;g 3e?

  A string of mass m and length L mmy b0 1g1ollq j2pwj6ee2)v8is 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 increased to 2m, with no change in lengthe20v1l wjbe682myl o1)mgj pq ?

  A string of mass m and length L is under tension T. The speed of a uz9ta jw 58sa,wave in the string is v. What will be the speed of a waves985,z ujtaw a in the string if the length is increased to 2L, with no change in mass?

  A string of mass m and length8 ul,-kb 96 fqonhc8fz 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 tension is inf,b f zuqhlon-k6c988creased to 2T?

  In seismology, the S wave is a transverse wave. As a i4 phiysn)mvo+)oy59n S wave travels through the Earth, the relative mmo +i )4y 5hspnivo9y)otion between the S wave and the particles is

  In seismology, the P wave is a longitudinapdilm 2ia :e/2l wave. As a P wave travels through the Earth, the reldep m:/i2al2 iative motion between the P wave and the particles is

  The intensity of a wave jmqt+k,k qbx81r6g8u, a0dmc is

  A wave pulse traveling to the right along a gt1sw:d ddk62dm *1fb thin cord reaches a discontinuity where the rope becomes thicker and heavier. What is the orientation g21*d1kdfs:t d b6mwd of the reflected and transmitted pulses?

  Two wave pulses with equal po8 euxi , ,3bcc.eo,blvsitive amplitudes pass each other on a string, one is traveling toward the right and the other toward the left. At the point that ,c ,bl o.xvibe3c ,8uethey occupy the same region of space at the same time

  Two wave pulses pass eac:0zlm; tu ron(h other on a string. The one traveling toward the right has a positive amplitude, while the one traveling toward the left ha:l z; oru0ntm(s 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, occurs whenfvu pr6h +6y 9fqhwm+1

  If one doubles the ten ;yh8fut6hoy65s vfo /sion in a violin string, the fundamental frequency of that 6s5 /yfo8tvh6u;y fho string will increase by a factor of

  What is the spring constant of a spring that stretches 2.00 cm when i9kzt7w9yos5y *;jr a a mass of 0.600 kg 9kty*z r 7wosa ;9j5yiis suspended from it?

  A mass is attached to a spring of spring constant icie 7b54 nsjxl+9(mr60 N/m along a horizontal, frictionless surface. The spring is initially stretched by a force of 5.0 N on thxlmj +79ib 4 i5ns(ecre 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 60 N/m along a horizontal,akznmu2 leb1o2g4; (c-in 2 zz frictionless surface. The spring is initially s2ne1 za-2; 4z2bn(zi ugkcomltretched 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 constanv o8e/+xbo kp.t 60 N/m along a horizontal, frictionless surface. The spring is inob+ox k.8ep v/itially 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 10 complete oscilm4kqww91qtmmz9z px2v *5t al(w 99bslations in 5 qt (9 lb 5p9wm 1av42z*xqs9tmwz9kwm.0 s. What is the period?

  A mass vibrates back and forth from the gh7t7 cs/yj-p461 h5zf;uo ettoh f6jfree end of an ideal spring of spring constant 20 N/m with an amplitude of 0.30 m. What is the kineti5u fo-c664jz ghs/h tfohy1 t7pt;7j ec energy of this vibrating mass when it is 0.30 m from its equilibrium position?

  A 0.50-kg mass is attached to a spring of spring constant x)+t2v ddym7h ad *1 bamic/.w20 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 *tcd.m db2h x)yv 1mda +iw/a7equilibrium position. What is the total energy of the system?

  A mass undergoes SHM with amplitude of 3wnci.6zo j,l4 cm. The energy is 8.0 J at this time. The mo ,jil3c6 z.nwass is cut in half, and 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 spring of soxb1; 5 .)jqmbir :zgfpring constant 20 N/m along a horizontal, frictionless surface. The object oscillategro )fbzjq xm5.1i: b;s 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 spring of spring 23 ;o-r1jksbq)ckzj:hs hdn 3 constant 20 N/m along a horizontal, frictionless surface. The object os j h z)sdn3;r: ch-qo12kjb3kscillates 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 constalaxhs(-l(vl9: ab 1b*;q( yb bjok/w gnt 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the total mechanical enl/(bq wb:a*yb(ol-k h jb(1v9slgx;a ergy of this system?

  A 2.0-kg mass is attached to the end of a horizontal spring of 74r qk nzm l,9hlxujee)4u v;0spring 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 systemh uv l mlq4,e;r xukn07e49zj)?

  A mass vibrates back and forth from the free end of azu1ep*fx1 cod+yqj 5ajb ,h/ (n ideal spring of spring constant 20.0 N/m with an amplitude of 0.250 m.,a jdfp5ojh qc1zb+1( ye/xu* What is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring system is displaced 10 cm from its equilibrium pyidtz if7z t)1itkt) d0k,*a3osition and released. A frequency of 4.0 Hz is observed. What frequency would be observed if the mass had bdi13zi)a*k,t itzyt dt)fk07een displaced only 5.0 cm and then released?

  A 4.0-kg object is attached to a spring of spring constant 10 N/r5 c 0*c;6a7ze -ebv6 mhlljnpmf08akm. The object is disp6h p-56c lmml be n*zaraj0f;7v8kc0elaced 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 o2aky.p zq+a+f)y;thq f spring constant 10 N/m. The object is displaca )tqzy;pk hqy+.+2fa ed 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 slightl) ay ),4w-nd7/rdefrdvm8m slrqtv 1 1y from its equilibriumr,/17 vf8)v4t)rld m1m aywq ne-d dsr position, and released. What is the frequency of its vibration?

  A mass is attached to a sprin9q ,sy-x e1 boz*d. t4amcthhr46 mff4g. It oscillates at a frequency of 1.27 Hz when displaced am eayxto6zs,4 d*r.f 4fc qhh-mb4t 19 distance of 2.0 cm from equilibrium and released. What is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to differd vxf-9svy0 -rent 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 r9yv s--xv df0of 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) 9bk ba. hg4akoh)nl, spring. 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 pk. b ),)nak9lo h4gbaheriod of oscillation.

  A 0.30-kg mass is suspended on a spring*hqd d6n90hwu7gp 3th. 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 60ddhug *3p9htq7wnh the total energy of the system.

  A 0.30-kg mass is suspended on a s9vpgjcn.0mh 3 pring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.gv 0phm 39jnc.0 cm down and released from rest. Write down its equation of motion.

  An object in simple harmonic motion obeys the fol2ge;hzu:dij vhn(:f 6lowing position versus time equatig :edz(ju ihh:v6n f;2on:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following positixz -m0n, )dot ,zkce wb9/tlc9on versus time equation:bxl/ dok 9, tzcw 0z),9ne-tcm
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the folofjz+0,y+wpah6.miie 9bl wc 1i;h a/lowing position versus time equationc6 hm owi 1ifb .;+h,jlw0pz/ieaa9+y:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple harmonil-5u09do wgx8.danmic motion accordi-iadd ml8nu 50 xwg.9ong 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 constant of 20.0 N/m oscil tc,q 6 +rv u-+mycg+ekrazt.l8yc*g1lates on a horizontal, frictionless track. At t= 0, the mass is released from rest at xurycl.qvk ez-ma8c+t*+ytgr6 cg+1,= 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 l5nyc /a; wo;ain 8.0 s. (a) What are its frequency and peri ayno l5a/c;w;od on Earth?

  A 3.00-kg pendulum is 28.84 m long. What wg2 x97xgz di8is its period on Earth?

  A pendulum has a period of 2.0 pea(g xd r(:k0x gf.5hs on Earth. What is its length?

  The pendulum of a grandfather clock is 1.4)c o.uu.o)rjnkg;vn 0 m long. What is its period on the Earjrkuno4 vn .;gu).oc) th?

  The pendulum of a grandfather cloc94muk zptat ca9 ;gv5sgl q*3ee1 y:a48xpzm-k is 1.0 m long. What is its period on the Moon 5a-3 g lk ;atpxza*uy4ge qe8vcm:mt9s9 41p zwhere the acceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical ma *rzd+r1-3v sj knr 4/zdkqge,ss 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 zger*k,d 3/rkz 1vrsn4 j q+-dif a 0.50-kg mass (same diameter sphere) had been attached to the string instead?

A simple pendulum consi- b ah dp++h+h/xn )w-v(kchsmsting of a 20-g mass has initial angular displacement of 8.0e. It oscillates with a perndx h+c)/ -wsvhkb+p+ma(h-hiod 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 frequenckxuc nu* -6/h*0kilwgy of the wave is 120 Hz. What g 6lcwh ukuin0x*k*-/is the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given time.qlmbv(a6g22a The frequency of the wave is 120 aav2b(l6 g2qmHz. What is the wavelength?

  Figure 11-2 is a "snalonv/w lz , ,j0iyh)o3pshot" of a wave at a given time. The frequency of the wave is 120 Hz. Whah ,,)i 3/lz0 onyovwjlt is the wave speed?

  What is the frequency of a wave wx7al .4xb,kp6w7mf g uhich has a period of 6.00 ms?

  What is the period of a wave a8kgjpv6a4 /hr v ix68o,xc8owith a frequency of 1500 Hz?

  What is the wave speed if lf8),-lrh u1q0bl nyh5e- gd ta wave has a frequency of 12 Hz and a wavelength of 3.0 nhyb )l -rhq-lt8lu d5 ,f0ge1m?

  What is the velocity of a wave that has a waveleng5:p3 z-xe sw -p5;t(sdn 9zsoub5ojuxth of 3.0 m and a frequency of 12uz 3s( o5udsj5-zoxp - ;9ps tnw5xbe: Hz?

  What is the frequency of a 2.5 m wave traveling at 1400 m/ 4ncs*lopt cqpmd7s ++ls-dlnx-i 1k/8 /7drv s?

  A piano string of linear mass dpi*ewkg;dj9 * ensity 0.0050 kg/m is under a tension of 1350 N. Whak; ig e**wp9djt is the wave speed?

  A string of linear density 6.0 g/m is underz9xw 3.*5imq3h rorj,z v:rzg a tension of 180 N. What is the velocity of propagation of transversemzx jrzi3:vrq*,hgr .zw 9 35o waves along the string?

A wave whose wavelength is 0.500 m is traveling down a 500 m long wire whf*.b h g i*s *j,1wsq3md.invlose total mass 1 nm*ib ,dwjl*q f sg.hs.3v*iis
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 286 ilmq/2jmmi5ipj ; b.0-m long string fixed at both ends is 200 m/s. Which one of the following is not a resonant frequency of this str ipmqm/iljb86j 2i5 ;ming?

  If a guitar string has a fundamental 9/hk:d sxwz9 ufrequency of 500 Hz, which one of the following frequencies can set the string into resonant vibration9x:9 wu sdkz/h?

  A stretched string is observed to have four equal segme6caj5vq*xiz -nts in a standing wave driven at a frequencyx6 z5*va-i jcq 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 freq2t/j2 zgg oygi65p*bhuency of 12 Hz with a standing transverse wave pattern containin2gj*z 5i2/tpb g o6gyhg 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 uno3 uoc yehs(6s)+ ucbxvxp/hk) ec.9+der a tension of 20 N. What should its length be if its fundamental resonance frequency is 22byccsxo uuh vs)h/p9+.)x6 3e+o ce(k0 Hz?

  Find the first three harmonics of a string of linear mass density 2.00 g/m and)kdm 237zi;bwi c3dst length 0.600 m when it isi3i3mc d27 w dbs);ztk subjected to tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. When the string vibrates at a fnk)h2u6 :x6gx pi zi:vreg):pik6z:xn6i 2x huvquency 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.