The time for one cycle of a periodic pro7 w 6jhmj.q;c:nki(0. jpnhhn9j la:mcess is called the

  For a periodic process, the number of cycles per unit time is called qsco ;f x 8p*vfne9 :/cs4vx;nthe

  For vibrational motion, the maximum displacement from the equilibrium pa ;6kvljro2ghy67h: 4xj m6 vjoint is called thgj2hv6lv46rh 6;j: 7jyo kma xe

  A mass on a spring undergoes SHblr))b*)v)xh x oo ha*a/7ul,(f ,kodvnrn5bM. When the mass is at its maximum displacement from e()axol57h v)k u)lbda*r n,bxnb/)o h,rfo * vquilibrium, its instantaneous velocity

  A mass on a spring undergoes SHM.y 3pwkn m75pgqto)kw-x+m68h When the mass passes through the equilibrium position, its instantaneous velocitpqw5h6wox mmty+) npg87-3 kky

  A mass on a spring undergoes SHM. When the masbej;, u 7,1qlz4y.hbsp 3ikfh s is at maximum displacement from equilibrium, its instantaneouhubq.y7spz b ,3 kh,4jlie1;fs acceleration

  A mass is attached to a vertical spring and bobs up and down between points Am/1hbp+ m re*i and B. Where is the mass locatedmp+em r*/i bh1 when its kinetic energy is a minimum?

  A mass is attached to n e**d*wn9ibz a vertical spring and bobs up and down between points A and B. Where is the db*i* ewzn*9n mass located when its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up ah gz/ 5q7trbw.nd down between points A and B. Where is the mass located when rw h5zq.t/7bgits potential energy is a minimum?

  A mass is attached to a vert(tdd 7 uiht;rl -1jm:eical spring and bobs up and down between points A and B. Where is the mass located when its potential e :i;7d d( mjrt1tu-hlenergy is a maximum?

  Doubling only the amplitude of a vibra3 btzp,:cfx h1ting mass-and-spring system produces what effect on the system's mechanicalb 3ct :,xpzf1h energy?

  Doubling only the mass of a vibrating mass-and-svfqe4j. fv ta p1*/lb.pring system produces what effect on the system's mechanical/af. pl 1bqvef j4t*v. energy?

  Doubling only the spring consjfco9+ :whh . 1 l:e3v,r:bzr1ysvfdgtant of a vibrating mass-and-spring system produces what effect on the system's mechanical energfr:9e,vv . rz:gj3 +h 1sdowbhc:fyl1 y?

  A mass oscillates on the end of a spring, both on Earth andu5 i-9jnwntsx+s4 sge 0n/e0w on the Moon. Where is the period then9 n /+suj-egn5wx 040tei sws greatest?

  Increasing the spring constant k of a mab78a*d q ;*ar3i. tdopgu+ yress-and-spring system causes what kind of change in the resonant frequency * 7 da8y.*+r3dt aipeqgbu;roof the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-sp cf9 9qzhx.y;c)b:wqbring system causes what kind of change in the resonant f9b qy )x.q9hcbcf :;wzrequency of the system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system causes whame2 mfgf:uqw 94z0vo)t kind of change in )qweffmu0mvz924:o g the resonant frequency 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 a mass M attached t/yeo /dk/o.5au c5 yxdo a weightless string of length L. For this system, when undergoing sma .yo5e/5dyc//k xao udll oscillations

  When the mass of a simple pendulum is tripled, the time required for utn/u4rtmc3 sk g42q,one complete vibratngq4rt , s4ukm3/2uction

  Both pendulum A and B are 3.0 m long. The period of A is T. Pendulum A 0lh*cz)u2qg 9z hxe x*)xu3 ysis twice as heavy a*2eycgs hu zzqxu 30) l9xhx)*s pendulum B. What is the period of B?

  When the length of a simple pendul7ye*ezla2f : gv8egm+um is tripled, the time for one complete vibration increases by a +zmg gfa: le2ye7ve* 8factor of

  What happens to a simple pendulu 1suyrkr t7e98m's frequency if both its length and mass are increase78tk sryur19 ed?

  Simple pendulum A swings back and forth at twice the frequency of simplew hjeod5d (-mx ;efv c0kixnux8):p;7 pendulum B. Whic;x7ho5 ;(m)depevx:j - xwckfudi0 n8h statement is correct?

  If you take a given pendulum to sriy9l/vq8b0fl b xjv7t 6o(: the Moon, where the acceleration of gravity is less than on Earth, qbs 9ol0 yti:f678(x v/jl vbrthe resonant frequency of the pendulum will

  Curve A in Fig. 11-1 re 0 x3c)jpyzhy5q .w;sepresents

  Curve B in Fig. 11-1 represenr h.)afs oxg*+, nm:awm0wxa+ts

  Curve C in Fig. 11-1 repres b,gcvujmt tgsdva4 d*z*g- wi34(2i+ents

  For a forced vibration, the amplitude of vibration is found to depend ons2c zc0;xjvny/dq v(, the

  In a wave, the maximum dis3 *mm3lu l)pup/mli .jplacement of points of the wave from equilibrium is called the waveilmlj 3.l)pp/ * uum3m's

  The distance between successive crests on a wave is calle o+uxc ) n(gl2n;d 5noe.ibj4 )(dtmued the wave's

  The number of crests of a wave;( p mv9 ry7d sj,*guh0ll7ftd passing a point per unit time is called the wave';prl , (l7f9tmhvy dg7*0sudj s

  For a wave, the frequency times the wavelength ix5 dp(jh(e kvu2f0k v4s the wave's

  The frequency of a wave increases. bf6jfo,9qr c/ What happens to the distance between successive crests if the speed/rf9j 6bq ,ofc remains constant?

  A wave moves on a string with wavelength l and fre5+prdqwp xatdx:h,;f :+cp2k quency f. A second wave on the same string has wavelength 2l and travels w++pt : p,:cka25fxd;phqx wrdith the same velocity. What is the frequency of the second wave?

  Consider a traveling wave on a string of length L, mass M, an r;jk3jov9 ry8.vt(c cd tension T. A standing wave is set;yj3 9 v(r 8ovr.ctcjk up. Which of the following is true?

  A string of mass m and length L is under tension T. The speed owoc8g*u u b6x1f 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, wbu1*xgu8o c 6with no change in length?

  A string of mass m and length L is under tension T. The speed of a wfzd7tp sn,( ;/0yyhl8vdqw (c ave in the string is v. What will be the speed of a wave in the string if the length is increased to 2L, with no change in madd fc,/y80np((7tsyqv lzh; wss?

  A string of mass m and length L is under tension T.6+v igs x+ihkwh-3s9 m The speed of a wave in the string is v. What will be the speed of a wave in the string if the tension iixhkvws6mgs-+i h3+9 s increased to 2T?

  In seismology, the S wave is a transverse wave. As an S wave travel,6 a3,7ri axt/jj(fs fe9zahms through the Earth, the relative motion between the S wave and trme,,jhi3 z7xa sf9jaaf6(t/he particles is

  In seismology, the P wave is ajdmm7j6dyppcj* 3evr009v g ho1.8uc longitudinal wave. As a P wave travels through the Earth, the relat 3*m0gc v y1jd c0jm.phdr9evp7u8o 6jive motion between the P wave and the particles is

  The intensity of a wave 7ptymg85fhzu41d)vdf2kq; fj j2i *t is

  A wave pulse traveling to the rights0:vcfqqxlb,2 / oj /bgp +-oj along a thin cord reaches a discontinuity where the rope becomes thicker and heavier. What is the orientation of the reflected and transmitted pu//-vg+bq:scfbq2,jl xpoj o0 lses?

  Two wave pulses with equal positive amplitudes pass each other on a strinyn,ror 57c: -j5mty lglhgw wrl34.s1 yk46lj g, one is traveling toward the righ ml 4w y:k6l.rjs3 gc lno15y t5glhr4w7,j-ryt 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 ot)1 kub,edg3g k.kue:gkc x1k6her on a string. The one traveling toward the right has a positive amplitude, while the one traveling towar:k u.1 x )63dgkgkke1gc,u bekd the left 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 fii8yx+(s gnad2 oy5;ov xed at both ends, occurs when

  If one doubles the tensimxlyo )k.6;bzj7;fx kon in a violin string, the fundamental frequency of that string will in.;xflok )bkmj;7 xz 6ycrease by a factor of

  What is the spring constant of a spring that stretcdvzn 1nzp7d6tf6x3t ul 4if 51kp-7hehes 2.00 cm when a mass of 0.600 kg is suspe6e3dlnv 51t z-4i7z x6htnkuf1 d7 ppfnded from it?

  A mass is attached to a spring of spring constant 60 N/m aloodl3u ; aormwv3c d y1uiz*/5,ng a horizontal, frictionless surface. The spring is initially stretched by a force of 5.0 N on the mass and let go. It takes u*3li vmocw a31douy/r5z;, dthe 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 alon;mo+qjm1 5hbdg 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. What 5jdm m+;o1hqb is the period of oscillation?

  A mass is attached to a spring of spring constant 60 N/m along a horibk s8xh)y: fpor2ki2wq,x 8 vfc an::9zontal, 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. What is the frequency o:vc9fifxrw:b osn h2a,kqpx 8k28 ): yf oscillation?

  A mass on a spring undergoes SHM. )be m z1j khfco34i:9zbe 4c)gIt goes through 10 complete oscillations in 5.k hm) job c)4:fecz3gezb4i91 0 s. What is the period?

  A mass vibrates back and forth from the free end of an ideal so4fcny9yh93s6gs o,z 2 +u i7rfif. m7rnmg-ipring of spring constant 20 N/m with an amplitude of 0.30 m. What is the kinetic energy of this vibrating mc.f- 92zm9gr i74if3,shgyfrno+oiu7n y6m sass when it is 0.30 m from its equilibrium position?

  A 0.50-kg mass is attached to a spring of spring ;t87. tw mgof ywpm/0hconstant 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 total energy.m7h m0t yw8g w/;optf of the system?

  A mass undergoes SHM with amplitude of 4 cm. The rq.sb;c)7txvpep o-e jh 8+(yenergy is 8.0 J at this time. The mas;rs)t(+8c.7b -q xeo pepvhjys 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 spring constant 20 N/m along a hoaa0y; :dlx u-9-u uopxm*n)7dyeqs3orizontal, 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 :o)dl d7eua-*xpx9yma3 u on-s 0 ;qyuamplitude of vibration?

  A 0.50-kg mass is attached to a spring o- n4 awixs;ip ro72y3kbu* kt2f 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 equilibriumsi t3xr y;p*a2bk oi7nku2w-4 position. At what location are the kinetic energy and the potential energy the same?

  A 2.0-kg mass is attac /ol2p anrtdz*g35 ,2ylgid,aomj j **hed to the end of a horizontal spring of spring constant 50 N/m and seg y5* t/dgi3all,2 n,a p2o*moj rd*jzt into simple harmonic motion 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 horizontal spring o7zlpd(rga blzip-+ )(f 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 p( l(+ad izplb-r )zg7this system?

  A mass vibrates back and forth from the free 9 c,wmio6lnjf*7+ xxeend of an ideal spring of spring constant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kineti* 6 9w,joenilx+ xmc7fc energy of this vibrating mass?

  The mass of a mass-and-spring system is displaced 10 cm from its equilibri7d w jxyvg0-jjml89 p*um position and released. A frequency of 4.0 Hz is observed. What frequency woulxyj*p9- djwg l78j0v md 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,3i-n;gt tvoz constant 10 N/m. The object is dispgt-3ivo t;n,zlaced 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 rjb z ya.97ouut1lzj1 t1p7/i10 N/m. The object is disp ba /1u 1z7jty.7oriu9 jltz1placed 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 z5b2c nn8fsw x +g6+7iwba )ipj sho94constant 18 N/m, displaced slightly from its equilibrbb6 +i5nx2hsf 978w4njc)+o pwzas igium position, and released. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequency ozkcy/c a ppkkg4hs - g07,j*b8f 1.27 Hz when displaced a distance of 2.0 cm fromkjg0/p-48,gk *hy s7 ckcpb az equilibrium and released. What is the maximum velocity attained by the mass?

  Two masses, A and B, are attachedf1v6f6q.mpu w8rkm ( v to different springs. Mass A vibrates with amplitudew(k.qpfm r68 6 fvmuv1 of 8.0 cm at a frequency 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 mass stjx* 2aln40m w,dhh+gqretches the spring 2.0 cm dowxw4dhl *0j ha, mg2qn+nward. The mass is then pulled 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 equilibrium the mass stretches tu-s *yl wkj yczy 5zoq +*rkk)9iuw-0,he spring 2.0 cm downw-kykqu+z0 rulw ,- oy9*5yj*w kzi)scard. 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 mfhzq 6e7:v -frx*: f8hr7owtspring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additiona rt:mfe*hh zqrw 6fof7 7x:8v-l distance of 1.0 cm down and released from rest. Write down its equation of motion.

  An object in simple harmonic motion obeys the f*r1;pjj4rc xs xj9 -mbollowing position versus time equ;mj 1j4brx pjr* -9scxation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following position versul,at;gq doto(v/kj e9:9;8 .nbs l ties time equkgatt 9st n.8;e ld/(o j,i:lv9q;b eoation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the follone7f :k8b (- vdsx0ddywing position versus time equ0xd-:v(s78dd bkyn feation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to tpzf8a 4jy rg7.bol d bz4u:h-9he free end of a spring executes simple harmonic motion according to the equation9o7:ygzfrl -jb ah 4 bd4u8zp. $y = 0.50 \; \sin (18\pi \times t)$ 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 oscillkwjqxg:.q p ki(o-i 10 9.luaiates on a horizontal, frictionless track. At t= 0, the mass is released from resak. ig 1q9.qli(-wi kpx:j uo0t 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 , +gsbw-bro b(5gt .eiare its frequency and pee,5tr.i-ggos(b bbw + riod on Earth?

  A 3.00-kg pendulum is 28.84t:efcrjii3k36b 4x w/ m long. What is its period on Earth?

  A pendulum has a period of 28)v 3vmpov o19n +ewiwe9mq6k.0 s on Earth. What is its length?

  The pendulum of a grandfhvs20gzgb sx59 v 5)ctather clock is 1.0 m long. What is its period on the Earcb) v05z 2ss vh95gtxgth?

  The pendulum of a grandfat5k6;f;a lo0n s2jne vbj.,rsou u )fo)her clock is 1.0 m long. What is its period on the Moon where the acceler ;)o)n ;oneusou,l2b.vr s j5 0fjakf6ation due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of,0;w2z;tb;f , .sp ihxuwbufn 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.nf2u,wsux z;b h;,pt f w.i;b0 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 angulauh*pmy ,4i a0zr displacement of 8.0e. It osci hz0yimua4p,*llates 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" ou cg*nz*1 frj,f a wave at a given time. The frequency of the wave is 120 Hz. What is the amplzrg **,u1fncj itude?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency of the wavsgt/.sb rj9/.msn: f pe is 120 Hz. Wns/b/9 : sm.tr jp.sfghat is the wavelength?

  Figure 11-2 is a "snapshot" of a wiais4 ci( /1cr:lg0eaave at a given time. The frequency of the wave is 120 Hz. What is / i cie:gaar0l ic4(s1the wave speed?

  What is the frequency of a wave which he iz7hq.5k5fxbm-u*m bpzg ,(as a period of 6.00 ms?

  What is the period of a wave with a frequency of 1500 rubjfofs+z 1g;(-m t:at-c/wHz?

  What is the wave speed if a wave has a frequency of 12 Hz and a wa.g h6hr 1;vkndvelength of 3.0 krh6;.h1ndgv m?

  What is the velocity of a wave that has a wavelength of 3.0 yj6usg 1:0moo m and a frequency ofg1y6u:jso0 om 12 Hz?

  What is the frequency of a 2.5 m wave travelca:54qxxz;s(crk:(r fg z1 zoing at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is (0g..k)urte ury/v,tue o 8xcunder a tension of 1350 N. What is the wave sp/k (tcxy.0g)uvutroeu8, r.e eed?

  A string of linear density 6.0 g/m is under a tension of 180 N. What is the velzitaddqk w-u i+/w-k+dfrg.8jb. 9, hocity of propagation of transverse wavdd .b8- /u+zj-wk.id+gka9 w rtqf,i hes along the string?

A wave whose wavelength is 0.500 m is trtpt ac tjrqqi7s .19*1aveling down a 500 m long wire whose total massq*as9t1 t qcp 7ijtr1. 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 propagationo1vc8,(wh+ ftnmuk*b ozy b65zi p)l* of a transverse wave on a 2.0-m long string fixed at both ends is 200 m/s. *bb5lmkpy, )hcvozz6ui twn* 8( o 1+f Which one of the following is not a resonant frequency of this string?

  If a guitar string has a fundamentalp m(bmb )u dum 8v4bsp1pa,/h( frequency of 500 Hz, which one of the following freq p)u(m1mbba/(upmv4 p8 , bhsduencies can set the string into resonant vibration?

  A stretched string is observed to have four equal s.v5i r g.9ninlvv-.v megments in a standing wave driven at a frequency of 480 Hz. What driving frequency will set up a standing wave with five equal segmentv..nmi9lvin. 5 gr-vvs?

  A string, fixed at both ends, vibrates at a frequency of 12 Hz with a ste( qn:;inhmi+ m yzb/g6* 7jmpanding transverse wave pattern containing 3 loops. What frequency pm ;ni+/q(*myz:7ng mjebi 6his 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. What should itsd/v1s- nrh j7 ;4lbyp3arwqkf 0 e0u1l length be if its fundamental resonance frequency is 220 Hz?jqpr0 s ;e74f1kbvnry1-3llaud0 wh/

  Find the first three harmotx2 t2vi(ql,bnics of a string of linear mass density 2.00 g/m and length 0.(xt,b22ltv q i600 m when it is subjected to tension of 50.0 N.

A string of length 2.5 m is fixed akaeg a,:zmkf )lm (f()t both ends. When the string vibrates at a frequency of 85 Hz, a standing waf:)zfkle)mga a( km( ,ve 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.