The time for one cycle of a periodic process is called thq/gen+.z +:7mdmrkq j e

  For a periodic process, the number of cycles per n 1p6 mkthy-xqok 3;fdu;0o+-ofd 1opunit time is called the

  For vibrational motion, the maximum displacement from the equilibriupi;cv2/m::eyx fl9 y sm point is call /pvl:fxsi:29ye c; ymed the

  A mass on a spring undergoes SHfe.ut.ean6 zl+3* 1vbps d h4zM. When the mass is at its maximum displacement from equ.vf6lesbtea zh+4 .*1npd z3uilibrium, its instantaneous velocity

  A mass on a spring undergoes SHM. When the p ap1 )jb*m)agmass passes through the equilibrium position, its instantaneous )) apbap*1gjmvelocity

  A mass on a spring undergoes SHM. When the mass is at maximdw 32qrco*qd+um displacement from equilibrium, its instantaneous accqwq2 co*drd+ 3eleration

  A mass is attached to a vertical spring and b(k1ws*4 dumq* sel7 stobs up and down between points A and B. Where is the mass located when its kin7sd tsksw1** ue4ql (metic energy is a minimum?

  A mass is attached to a vertical spring and bobs up eegc j) * dzhyv h:56otbz7nv +s(u8b8and down between points A and B. Where is the mass located when its kinetic energy is a mab67zvcz *8(d jh)et ovn5yhu 8e s+:gbximum?

  A mass is attached to a verticaj7(u y u/xwan3wn05rod t6h 3nl spring and bobs up and down between points A and B. Where is the mass located when its potential a0(/nun5o63 nwt7xu hjyr3dw energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down between pointsa u7d3+cl, m grq4mqblxj(0i9 A and B. Where is the mass located when its potential en7qa3lmrx+(cbm dij g04,qu9 lergy is a maximum?

  Doubling only the amplitude of a vibratinoap)q94ij 70 loe g4fz s,zh0mg mass-and-spring system produces what effect on the system's mechanical opafegz 474zhoj),09l0 qi smenergy?

  Doubling only the mass of a vibrating mass-and-spring system produces what e.a- jv .xjpmq1ffect on the system's mechanical ene1.vxqpj. jm-argy?

  Doubling only the spring constant of a vibrating mass-and-spring sysq9 a1psv3 rowa9rcro81 1 mv5dtem produces what effect on the system's mechanicalcv1qar1w 5r9 3 8sprav 91mood energy?

  A mass oscillates on the end of a spring, b: iu9i in59kjmoth on Earth and on the Moon. Where is the 99 knm5iiij:uperiod the greatest?

  Increasing the sprinvz-r .694 f*fe vwkmtig constant k of a mass-and-spring system causes what kind of change in the resonant freq -eti4zvfm.*rv9 fwk6uency of the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system causes what kind of c;i9xy8wz mq(2 . dfz mrj/e ep6-e1afphange in the resonant fjm1eqyez2x6irpm(/.fw8e z;f- ad9p requency of the system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system causes pfw l1km6k z2os7+ s0o68pierwhat kind of change in the resonant frequency of the system? (Assozl2 p6fs8mepr+k6k0 iw1 7s oume 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 Ms-by*.ueku 65x bi(jg attached to a weightless string of length L. For this s-b ix.5(j*b yuug6eksystem, when undergoing small oscillations

  When the mass of a simplevrzael1 e+1o0lc v2 /w pendulum is tripled, the time required for one complete v0aewlec1r /o vz2+1lv ibration

  Both pendulum A and B are 3.0 m long. The pe7qfw+ j6ftgx e.8 )sd9gr /ukfriod of A is T. Pendulum A is twice as heavy as pendulum Brk)6fexw.tjqf 9/7fs gg +ud8. What is the period of B?

  When the length of a simple peisp3bqn;( 7 dpd0w ,odndulum is tripled, the time for one complete vibration increases by a factor d pbps,(qo d3;7iwd0n of

  What happens to a simple pendulum's frequency if bsbzjz-a3 i) c,oth its length and mass are increasej-ciza )sz3b,d?

  Simple pendulum A swm;s+0t uze5k/rwb1n mings back and forth at twice the frequency of simple pendulum B. Which stk5run s/ 0 tmmz;+bew1atement is correct?

  If you take a given pendulum to v bm4+kt2i-jt the Moon, where the acceleration of gravity is less tham-ivtt2 k+bj4n on Earth, the resonant frequency of the pendulum will

  Curve A in Fig. 11-1 represe).n:l6hrwo7j qy nh- knts

  Curve B in Fig. 11-1 represe h 5vl./le*maents

  Curve C in Fig. 11-1 representn b6d,z 9g5qru d*y3tqs

  For a forced vibration, the amplitude of vibratiw2uekh r; kv: pvj*, y0z-jyy9on is found to depend on the

  In a wave, the maximum displacemen0 s6wz l7 .znusyyc33pt of points of the wave from equilibrium is called nyp3z s0w zlcsu6.7y3the wave's

  The distance between successive crests fr t8km)6(d5/jqpzvr6d7ip.b m /bfj hf54l ion a wave is called the wave's

  The number of crests wjy 6x/o; q8p,xpl 0lmof a wave passing a point per unit time is called the wave's8l ;yw0 /,xl6 pmoxqpj

  For a wave, the frequency times the wavelength ivy,hnjei4zwnm 9 6 *6ts the wave's

  The frequency of a wave increases. What happens to bx.*6t(moz( nr zb9wrthe distance between successive crests if the speed remains co*(z t(b.96x zbmn rrwonstant?

  A wave moves on a string with wavo uizcdhl;c-f*,+ym/ wv39:gsv wbh)elength l and frequency f. A second wave on the same string has wavelength 2l and travels with the sam9wmhoscbu,+v/l)g *y;hcwi -z3vf : de velocity. What is the frequency of the second wave?

  Consider a traveling wave on a string of j qs(u7ik8; sylength L, mass M, and tension T. A standing wave is set up. Which of the 8;ky js(iqu7s following is true?

  A string of mass m and length L is under tension T. The speed of a wmgm bo*x/zfr o/ymggf(tm;+),.x z9u7 z1 bpxave in the string is v. What will be the speed of a wave in the string ifzo;* mo zb+gm,b(g m7uzf/rmt)x1 9gxxpf.y/ 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 in the a bk. lr r0rd/))8n*/eav uoo*day d9astring is v. What will be the speed of a wave in thd0. earak9d/*na)vu8 /oror)byld *ae string if the length is increased to 2L, with no change in mass?

  A string of mass m and length L is under tension T. The sphnt267+ym c dcuvsl1idjz802 eed of a wave in the string is v. Wh120dyi8s6dm j2 v7ucch nz+ ltat will be the speed of a wave in the string if the tension is increased to 2T?

  In seismology, the S wao80yu./m lr -h,lnu ycve is a transverse wave. As an S wave travels through the Earth, the relative motion between the S wave and thlhu8o,ynm- r/0l. ycue particles is

  In seismology, the P wave is a longitudinal wave.l,jn ro +n3wjevla ,;1 As a P wave travels through thjo, w;+ n3arnl,jlve1 e Earth, the relative motion between the P wave and the particles is

  The intensity of a wave ,1sv3tn(5ccr ta9wiw is

  A wave pulse traveling e3)-gqjbapnhy; ) s. m(kb d+enusk/5to the right along a thin cord reaches a discontinuity where the rope becomes thicker and heavier. What is the orientation of the ryb(/; .ugssk)bp-qd)jhe 5 kemn 3 n+aeflected and transmitted pulses?

  Two wave pulses with equal positive amplitzf,vkjr6u s21v bb2l8udes pass each other on a string, one is traveling toward the right and the other towardsv rb8bf j2 6zv1,u2kl 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 one travelin lgakirb w 2*hlr *w /nm1nu/az-g21+cs8ao r0g 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 sah18rz kg2ar rwclw-+n g/u0*a* ol m1ibn/s2 ame region of space at the same time

  Resonance in a systeru w47z* kebvf *d.;oiv g/dq/m, such as a string fixed at both ends, occurs when

  If one doubles the tension in a violin string, the funda9l60zz-n+kck cpgm0.a b +h xrmental frequency of that string will inckgzn.mpc0 z b6+ x9-r0 alck+hrease by a factor of

  What is the spring constant of a spring that stretches 2.00 cm whenzv5e px8dswl6 3 u-uy*-tw nf7 a mass of 0.600 kg is susnt--e l*7ydwu 5uf 8pv6xz sw3pended from it?

  A mass is attached tor(egx v+ 5c6nx a spring of spring constant 60 N/m along a horizontal, frictionless surface. The spring is initiv+6(r gex5nxc ally 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 spring of spring constabq e;t we/o2n2h ,du.int 60 N/m along a horizontal, frictionless surface. The spring is initially stretched by a force of 5.0 N qdoti ewb,.2e;u h2n/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 constajtv/ m*7en *u86ih/5 leuovvknt 60 N/m along a horizontal, frictionless surface. The spring is initially stretched by a force 5v mvu7n* kv*j6l8// ehtiue oof 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 goesyu1hb fc6o2*2 -fwbqni rc6k0 through 10 complete oscillations in 5.0 s. What is the perifb*62cb012kf cw- qyouh6 r inod?

  A mass vibrates back and forth.et.iv8v ojz1 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 ofi1t.o.jzve 8 v 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 constants44 k p;pal0u5o 1ba:j6y kiqc 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 the4lqpp:4s k601buk ;c a ioyj5a total energy of the system?

  A mass undergoes SHM with a +8igw-ca(d po50 vcqfmplitude of 4 cm. The energy is 8.0 J at this time. The mass is cut in half, and thp8 i+goc (wqf0 vda-c5e 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 spring constant 20 N/m along a horb.yz*h1 3p vktizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s at the equilibrium position3z kybt v*1.ph. What is the amplitude of vibration?

  A 0.50-kg mass is attached)zg5x 2 p,a hopt6:dv* zw;t*sln1p df 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. At what location are the kinetic energy and the potential sg: t z*1;zlvapfo6d hpd *,n)w2xtp5energy the same?

  A 2.0-kg mass is attached to the end of a horizontal spr4 adi165zpt pqing of spring constant 50 N/m and set into simple harmonic motion with an amplitude o51pdt46i apz qf 0.10 m. What is the total mechanical energy of this system?

  A 2.0-kg mass is attached to the end of a horizontal n hb,p60tv47u :araygil/e 6zspring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is th4hiarea0n,zy 6tbl v: /76gupe total mechanical energy of this system?

  A mass vibrates back and forhunm 4/ k/yl9jth 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 kine/l9jkh m4nuy /tic energy of this vibrating mass?

  The mass of a mass-and-spring system is displaced 10 cm from its equiukgb+) m8-vzt librium 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 and +-tzkg)v8 mubthen released?

  A 4.0-kg object is attached to a spring of spring constant 10 Nvngt*v98y1 s m/m. The object is dispn vymg*stv91 8laced 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 ic3)a s6kdzgc(tub+64:u xmh object is disp6azuxbcs6d 4)g3+:h ui kct(mlaced 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 h:70o tw)rltko y9zx.d- zv5m, displaced slightly from its equilibrium position, and releasezy: m z.htdrw vo-)ox7t90k5ld. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequenz7,y qeupcdh1 l 2s.c8cy of 1.27 Hz when displaced a distance of 2.0 cm fro7equ2lh1 ,8. cszpd ycm equilibrium and released. What is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to different :x2 xj/y*plf csprings. Mass A vibrates with amplitude of 8.0 cm at a frequency of 10 Hz and mass B vibratesx /c*2xflyp:j 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 equilinna-+3qm 71s meb3yqisy+ ja7yzy 0; jl/n7n fbrium the mass stretches the spring 2.0 cm downward. The mass is then pu ble m7qy73 jznjy +qai0 1nm+-afssy;37n/ ynlled an additional distance of 1.0 cm down and released from rest. Calculate the period of oscillation.

  A 0.30-kg mass is suspended on a spring. In eque sft(j 3ra:1rilibrium the mass stretches the spring 2.0 cm downward. The masf(:r 1ta 3erjss 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 suspendedj d:6i,rdtp)00 v ;gnkj76g,cvzix k)(mcsz z on a 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. Write down its equatio knvd zdk)xcj06tmi p ,z;7v0gzijrsg),c(6:n of motion.

  An object in simple harmonic motion obeys the followi m6oa8ps7 f( hm,+ hf2skctibj;* eer73q.phfng position versus time equa(6hf7kc2m ,+erqfpoe 3fb s its*a .;7hm 8jphtion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the followingnld1vzd 3q 4g1t7p h2u position versus time equatilg2v4u1qd p7z n3h dt1on:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the follo ;f4hmpeh.2cq fw wz3.wing position versus time equ ; .wzh432ceph.mqfwfation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a sprith;/ dum+r 2jvng executes simple harmonic motion according/ u;+mtdjhv2r 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 constan74shaa/m2 wgkt of 20.0 N/m oscillates on a horizontal, frictionless track. At t= 0, 4 gw7ms/2 hkaathe mass is released 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 complete swings in 8.0 s. (a) What are its frerhy di--w*d ;uquency and period on E-r-i*; hdwyduarth?

  A 3.00-kg pendulum is 28.84 m longkxvdb 7jh6l,r / ov5 (6 3ngehc/t:tph. What is its period on Earth?

  A pendulum has a period of 2.0 s on aut /7y dm+eo k+p7v 7vad) /dasm*wt7q1t/b kEarth. What is its length?

  The pendulum of a grandfather clock is 1.0 m long. What is its period on oox 7-,-trgty the Ea-rgtxt- ,yo7orth?

  The pendulum of a grandfather clock is 1.0 m long. What ismukjjmh c0 qsh) h081;*c)xj xf t,f18z 5xfom its period on the Moox)xs cmxu50h0fc1z1jm m* jt) 8q;fhf kjoh8,n where the acceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists ofz *9buym07oui2b8puf a 0.25-kg spherical 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 frequency would have resulted if a 0.50i2 *p uuyf8u zb9o7mb0-kg mass (same diameter sphere) had been attached to the string instead?

A simple pendulum consisting of a 20-g mass has initial angular displacement owo ro fm/, 4.d;evuf-of 8.0e. It os.,df -fu orowe ;4omv/cillates 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 freq o q6lz:/ 1x+3 pwl7dljslc:i*/zndrhuency of the wave is 120 Hz. What is the amplitud6 3+1:/ld nzq iz7lco/jwrps lx :dl*he?

  Figure 11-2 is a "snapshot"g- r i;8mwdjr h5+/,l wcdxkq; of a wave at a given time. The frequency of the wave is 120 Hz. What is the wa-;d+dwgwrichk xl/ qj ,r;58mvelength?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency of the455ixurnp 3hu u59vdns z; -xe wave is 120 Hz. What is the w p5u-4ns;u3 z9xx rv5e5 uhndiave speed?

  What is the frequency of a wave which has a perio+s,9 goxqewxeq(i 8d1 d of 6.00 ms?

  What is the period of a wave nz v c)(+-taugwith a frequency of 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz and a waveledky+e;h .cz p4ngth of 3.0 me+h ydk;cp4z. ?

  What is the velocity of a wave that has a wavelength of 3.0 m and a frequency ofl/ecsd;xm o3,ox .9 cb 12 c /.d;bmlc xxs o9,e3oHz?

  What is the frequency of a 2.5 m wave traveling )ovxfg -rz):r at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is under a tension of 1350xwtup+ /wd .(wma 83hz1tu6hj N. What is thw1 3+uxa zt/hw.8 dmj h6tw(upe wave speed?

  A string of linear density 6.0 g/m is under a tension o-ox( sgvyl +pc0(ru5 vf 180 N. What is the velocity of propagatil( +0rpg(x5 v-s cuvoyon of transverse waves along the string?

A wave whose wavelength i17o z(- ntcedyutz;t *s 0.500 m is traveling down a 500 m long wire whose total d71tzo* t (znuy-t; cemass 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 transveryya9em5k bl r(o (:e+wvr( s9use wave on a 2.0-m long string fixed at bothka(( 59mwe+:y u9(eyrobvlrs ends is 200 m/s. Which one of the following is not a resonant frequency of this string?

  If a guitar string huakfje:t3u3. as a fundamental frequency of 500 Hz, which one of the following frequencies can set the string into resonant.af t:3jkeu3u vibration?

  A stretched string is ob4 5.qvv8 rl aexn;vi8aserved to have four equal segments in a standing wave driven at a frequency of 480 Hz. What driving frequency will set up a st4 58l;v.8x aariqvv enanding wave with five equal segments?

  A string, fixed at both ends,n:mflea)-v v. vibrates at a frequency of 12 Hz with a standing transverse wave pattern containing 3 lo:n-e).mlva fv ops. What frequency is needed if the standing wave pattern is to contain 4 loops?

  A string of linear der.p vt wlsh-2r9;( fxxnsity 1.5 g/m is under a tension of 20 N. What should its 9rt- lp ;(2fsv.xhxrwlength be if its fundamental resonance frequency is 220 Hz?

  Find the first three harmonics of a string of linear mass density 2.00 g/m and jp(nzd ;kv uz7ugjz9)epvgs px3;-/ : length 0.600 m when it is subjected to tejxz/(udk - ppze;3 vjg7)z9 g: ;vnspunsion of 50.0 N.

A string of length 2.5 m is fixed at both ends. When the string vibrates ac8 kl.kgvz) vc4fr1 ss8bto0; t a frequency of 85 Hz, a standing wave with five loops is formed.4 v.rok;g 8tlcb) kzvs 1c8f0s
(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.