The time for one cycle oppv o*i/ow6 .t*t;dxc+ ptv,tf a periodic process is called the

  For a periodic process, the number of cycles per unit 6odq -m6lbvug)8anwh o;5xt.time is called the

  For vibrational motion, the maximum displacemeqpql82gv wd,i 8wmm+) ga9u)nnt from the equilibrium point is called t ipqq wwl2d8m)av 8)gnm,9+ ughe

  A mass on a spring undergoes SHM. When the mass is at its maxi6snpz+ r x;aj*mum displacement from equilibrium+rnaz* xpj; 6s, its instantaneous velocity

  A mass on a spring undezv f ftx41ies4xnn0)7z(han4rgoes SHM. When the mass passes through the equilibrium position, itsexxz (ff40)zs4vtnnn17 h 4ai instantaneous velocity

  A mass on a spring undergoes SHM. When the mass is at maximum displacement fmccx/gwpt5q h,b5zu51 upr28rom equili1 ct2rg55hm u5 qx8cu,zp pwb/brium, its instantaneous acceleration

  A mass is attached to a vertical spring and bobs up and down( kmelf0gc 2 14oozzx* between points A and B. Where is the mass located when its f*4(2m o1 0ozexcglkz kinetic energy is a minimum?

  A mass is attached to a vertical spring and bobs upd 9/5f-ob/v* lkkk)kha9p uxm and down between points A and B. Where is the mass located wk pbvu* kf9a- l/kdmx/)h9o 5khen its kinetic energy is a maximum?

  A mass is attached tory-ol2l)m8zw r,qfe(b 8z.qv a vertical spring and bobs up and down between points A and B. Where is the mass located when its .(vwz ql2-e lf)q 8m8yzobr, rpotential energy is a minimum?

  A mass is attached to a vert ,.:p v r8lois8havx3fical spring and bobs up and down between points A and B. Where is the mass located when its pote.3 h8:8olvfs x,via rpntial energy is a maximum?

  Doubling only the amplietsgsn d; *egqt/4josw8p5 ((tude of a vibrating mass-and-spring system produces what effect on the system's mgs5wt/qge( *4e (8p jsst no;dechanical energy?

  Doubling only the mass of a vibrating mass-and-spring system producesssa )xcx /b)u/ what effect on/sxuba) )c/sx the system's mechanical energy?

  Doubling only the spring constant of a vibrating i /fz;yva)6h5 hwb6c 5do3+k ild7dmw1g7bqymass-and-spring system produces what effd5hyl/;v cbq6)iw5mi7gok1wd z bd37a+ fhy6ect on the system's mechanical energy?

  A mass oscillates on the end of a spring, both on Earth and on the Moonf/quzl -+v bf4ulm1dqq, ;4y h. Where is the period the greatestbmdy q+ u;h,v1/-f fq4ql4uzl?

  Increasing the spring constant k offg436j6ki 78 i vp6ok hfvxfq5 a mass-and-spring system causes what kind of change in the resonant frequency of the system? (Assume no change in the system's mass m6v 6hxif87p65i4 3k fqkfvojg.)

  Increasing the mass M of a mass-and-spring system cause 8 6k 06bwag3i/j6gtkfdkbgy 3s what kind of change in the resonant frequency of the system? (Assume no change in the system's spring constant k.b3gbkk66ykaggt8 6 /j i3 w0df)

  Increasing the amplitude of a mass-and-sen. qb 3yf.8wh4bk )g)entqs+ pring system causes what kind of change in the resonant freqq)g4hbknq)t w+ .y b.sef 8n3euency 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 to a weightless string of le:+.fzvityc5y;lt.r7w ce i 6f ngth L. For this system, when u.ttr.:6 yveyf i5zwi f+7cl; cndergoing small oscillations

  When the mass of a simple pendulum is tripled, the time requi xieef /d9j-,hfkw qxdg2t7(l4owv. u jv*.u+red for one complete vibuud q2-.(i*f g4/xfxdkt,vh wl.ewov +j7j9eration

  Both pendulum A and B are 3.0 m long. The period of A is T. Pendulum A is t5w.g va6wzk.wd8g -gx ;uea+aexet,6wice as heavy as pendulum B. x +w8at;kgxagw. -v5dg6.,6uzw eeae What is the period of B?

  When the length of a simple pendulum is tripled, the time for one complete vibmcr15z6 l/1b j smrjj:ration increases by a factor o sm56 j1jr/lbcr:1 mjzf

  What happens to a simple pendulum's f3srifd8j1 sk )requency if both its length and mass are increasedr3ds8fs jk) i1?

  Simple pendulum A swings back and forth at twice th y*crm.:bn dux4-d5o ye frequency of simple pendulum B. Which statement is coro:5my.*uy4nddc x-rbrect?

  If you take a given pendulum to the Moon, where the acceleration of gravity i2 sx) zdro2dq pc8v x i-:o.n6igiq3w5s less than on Earth, the resonant frequency of tqd5ii 6 z.ip 2-ncrw8os23dvogq):x xhe pendulum will

  Curve A in Fig. 11-1 representsz-p3:yxv il j1

  Curve B in Fig. 11-1 xnzi 91 r:6ulprepresents

  Curve C in Fig. 11-1 repr 2h5z 1l)jxzwn :a+s p6si7micesents

  For a forced vibration, the amplitude of vibqtie5+vylo9 / )mj/ re n95jm:hkxv/oration is found to depend on the

  In a wave, the maximum displacement of points of tva.3 dtg4gtb(- 9 sn2ej mj.dche wave from equilibrium is cal . 9dnvgj 3jdt-ms.tbca4e(g2led the wave's

  The distance between successive crests atj9 sia; 6+ykon a wave is called the wave's

  The number of crests of a wave passing56l,s rrp3) i)lw osi0xmo b 5zi;zk,i a point per unit time is called the wave'ir 0;zi53o,w szsrip)ml) 5k o 6xli,bs

  For a wave, the frequency times the wavelen zwb q5x)0ziqhoo;y 2;x4d;g ljrk/j 1gth is the wave's

  The frequency of a wave increases6wi ltsjw,zl;cw k1 24. What happens to the distance between successive crests if tiw 4j,tcws;26l w 1lkzhe speed remains constant?

  A wave moves on a string with wavelength l and frequency f. A second wave8 h 9,omoco7xdm)s*szi 0s px7 on the same os0oxpm)87,zh 9 xc s*siodm7string has wavelength 2l and travels with the same velocity. What is the frequency of the second wave?

  Consider a traveling wave on a string oj cnvgz( *9ur9f length L, mass M, and tension T. A standing wave is set up. Which u9c9n jvzr* g(of the following is true?

  A string of mass m and length L 6 o 19z u8cpl;j8liiujis under tension T. The speed of a wave in the string is v. What will be the speed of a wave in the string ifii;6z 81l8 jljopuuc9 the mass of the string is increased to 2m, with no change in length?

  A string of mass m and length L is under tensbyl2: 2;5 jzkzigkwt (j)t/tsion T. The speed of a wave in the string is v. What will be the speed of a wave in the string if the length is increased to 2L, wz yz(/) ;tltt22kgb5 jji :wskith no change in mass?

  A string of mass m and length L is under tension T. T de(6md0pt:w dhe speed of a wave in the string is v. What will be the speed of a wave in the string if the tension is incdd ewd t0:m6p(reased to 2T?

  In seismology, the S wave is a transverse wave. As an S wave traverk0vrv . lr8;-yd) rhxls through the Earth, the relat-lr8r 0dk .v)v;ryhx rive motion between the S wave and the particles is

  In seismology, the P wave is r gy4b,e4kxic 9-op02afkx m-a longitudinal wave. As a P wave travels through the Eby4gmeckp4o2,r 0x9 - f -xaikarth, the relative motion between the P wave and the particles is

  The intensity of a wawm-*f yxzc m*5ve is

  A wave pulse traveling 8or;qe .yb(wjyr-y u7;fb(v:a0qgx h to the right along a thin cord reaches a discontinuity where the rope becomes thicker and heavier. What is the orientation of the reflected and transmitou rgay.7 -yw :;vj0 q(8(fbx qh;rybeted pulses?

  Two wave pulses with equal p:3nwzombka( 1 e9x cg-ositive amplitudes pass each other on a string, one is traveez b x3w gnm(c-:9oka1ling toward 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 passfwjsu-j r:.d/- vemj tsfb71; each other on a string. The one 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 region of space at the same timdtmrb:fw1;e .-jj7su/ -fjsve

  Resonance in a system, such a sd ;y*ap5s;f1 0fpdifs a string fixed at both ends, occurs when

  If one doubles the tension in a violin string, t : zju(q5yv1:myu0kophe fundamental frequency of thatv 5 pjkmuy0zo::u( yq1 string will increase by a factor of

  What is the spring constant of a spring that stretches 2.00 cm whbqx6 8aghn xzhp20)m5 (ai7inen a mass of 0.600 kg is su a0px 5xi ai7nbz q8nm)(hg6h2spended from it?

  A mass is attached to a spring of spring constantnkzy u o1j,zli9 l9(8v 60 N/m along a horizontal, frictionless surface. The spring is initially stretched by a force of 5.0 N on tj89( zlv9izl, y1ukn ohe 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 constabqh7;.c j66 upp 4 rc/8ua3e srx,blbogy xk(/nt 60 N/m along a horizontal, frictionless surface. Th 6ex b / g8ajcxq/urbcb.u y46(7kr;hpso,l3p e 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 horizontal, exp3 iplw r7tzj10w97frictionless 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 oscipl0w7 x3jepw tir9z71llation?

  A mass on a spring undergoes SHM. It goes throuw9;cyrwy8-c ubffuul :)+a0e gh 10 complete oscillations in 5.0 :uy recc0w-;8by+fu 9w f)luas. What is the period?

  A mass vibrates back and forth from the free end of an ideal spring of spri)z kbeqvwt.sy1 e:m .1ng constant 20 N/m with an amplitude of 0.30 m. W1 ktmyq..se we:vz )b1hat is the kinetic 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 c:e,bx( ;rdtgj 3rppji *m w dbv)4l01eonstant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a spee: je;,vm3idp(0 t1bp* ebgwr 4r l)djxd 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. The energy is 8.0 J at7bi si5x;e qd5 this time. The mass; bi i75qd5xes 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 kxwm bgwe0+rd/d8 a q+64z7nbd r f3zn0k -:lbhorizontal, frictionless surface. The o-:n4dwg dzk8a fblrqe+brxd0z/0 + 7m6 w n3kbbject 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 spring of spring constant 2 dmswx6azbe 9.3wj-1 s0 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 thex-wjd36sa smz .w9 eb1 kinetic energy and the potential energy the same?

  A 2.0-kg mass is attached to thrhy -umnl6ci; pz:3c)e end of a horizontal spring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the total mech l3 cuhmcn:;zip)r -6yanical energy of this system?

  A 2.0-kg mass is attached to the end of a horizontal spring of spr tta1rt-up4p ak5i 0-p0o c4wzing constant 50 N/m and set into simple harmonic motion wi-rp1oac04tapk u5t zwpi4t0- th an amplitude of 0.10 m. What is the total mechanical energy of this system?

  A mass vibrates back and forth fr05 5wzdi0tu hbom the free end of an ideal spring of spring constantdw05 u0 5bithz 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 system is displaced 10 cm from its equilib8cbupwg+ g28r-kq pj7cm; ti7rium position and released. A frequency of 4.0 Hz is observed. What frequency78j8pwgkq7u g-c+cir;2 tbpm would 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 constant 10 N/m. Thej 7xz8i7lwna6dtcj- 2 object is l 7jz7 8dxant6wc 2j-idisplaced by
5.1 cm from the equilibrium position and let go. What is the period of vibration?

  A 4.0-kg object is a0d hv-dh*5jcu+jep(s bdx4 9ync, 6a ittached to a spring of spring constant 10 N/m. The object is displ 9p nddi6ybd0j5-h*chs( ac,u+ve xj4aced 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 spre4oc9 /y(p cofing constant 18 N/m, displaced slightly from its equilibrium position, and releasedy 4eo/p9ocfc( . What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequency of 1.27 Hz when deyrpo;4l d3s s. (dg6kisplaced a distance sr3o .(l4dgk p6d ;seyof 2.0 cm from equilibrium and released. What is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to di/+0pirydd* m-lnxu1k:) zvo ufferent springs. Mass A vibrates with amplitude of 8.0 cm at a frequency of 10 Hz and mass B vibrates witk : o/0)xlvp* i+d 1znm-urdyuh 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 t6vhw4. dd;agjv+3 rpnhe mass stretches the spring 2.0 c3+;h apd.j 6vwgvdn4rm downward. 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. :qj s px0u/1-nxhpib the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and released from rest.bxisjp 01q.:xp u/h -n Calculate the total energy of the system.

  A 0.30-kg mass is suspended on a spring. In equilibrium thomyl0r :0w;zf8gq 7 jme 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 equation of rzjyw 087: gqf0 lmo;mmotion.

  An object in simple harmonic motion obeys the followingqiyt ls t3qg+xh(f 6j3 h;ta)6 position versus time equ6xysqt jh;qt+()i l6ta f33g hation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following position versus time eq281w nzaqn6*c *e7bkqta3k q+rywa 3j1 lfc v;uation:k1z;an6 jycc+13 2aqerqat 7bw8 *fnk vlwq3*
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic mow /tho-ob2yn/9 ou:zwtion obeys the following position versus time equatio2uo: /wo/nbothz w-9y n:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the fre)dzpob2:i m1 se end of a spring executes simple harmonic motion according to the equam)sz:opb 1d 2ition $y = 0.50 \; \sin (18\pi \times t)$ 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 oscillates lda f.f/hbhy*z7, s. o3vv *rbon a horizontal, frictionless track. At t= 0, the mass is releas osv v.h.f *y* r7d,bb/3afzlhed 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 frequency ands)h .kf3c/ xey period s f/hy.xke)c3on Earth?

  A 3.00-kg pendulum is 28.84 m long. What is ifybk4 fcsh5 ,rmvsnl) ()f) 6kgj 2vr7ts period on Earth?

  A pendulum has a period of 2.0rj887b 3c nc)cn;llg a s on Earth. What is its length?

  The pendulum of a grandfather clock ia ne,3:hkj i x pe+wsz9+*k:tss 1.0 m long. What is its period on the Ea+, nez kstk*9xei: j:ps3 a+whrth?

  The pendulum of a grandfather clock is 1.0 m mk6u*f ,hwn:elong. What is its period on the Moon where the acceleration due to gravity iswku*hm :enf ,6 only $1.7 \; m/s^2$?

  A simple pendulum com ;c:xxc9w 3*t .uxxkbnsists of a 0.25-kg spherical mass attached to a massless string. When the mass is displaced slightly from its e :;tkxu9xxx*wb. 3cc mquilibrium position and released, 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 ma e0howdu0u(8q;5d pzgss has initial angular displacement of 8.0e. It osci8(d ;qd50p 0eguzhw uollates 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" qxc (n+bgz9xr hjr7 d7(w 2*ibof a wave at a given time. The frequency of the wave is 120 Hz. What is tx 7 g72xidwnr+j*z (9b(rcqbh he amplitude?

  Figure 11-2 is a "snapshot" of a wq+,mt4f :byo:udf. aylrf4ak2 h(36zeyb qo0 ave at a given time. The frequency of the wave is 120 Hz. What is the wave6kzfoabh.3 4(b0 e4ol,u + qyytfmq 2dafyr ::length?

  Figure 11-2 is a "snapshotofzfm-0yh (g2" of a wave at a given time. The frequency of the wave is 120 Hz. What is the wave spf2g0oz h( fy-meed?

  What is the frequencytuk5o3chy+ysh/ s:( n of a wave which has a period of 6.00 ms?

  What is the period of a wave with a frequehb,v5ryd*y7.)wn pz gncy of 1500 Hz?

  What is the wave speed if g,16a w*duv va2k0bdzw (l2le,j-std a wave has a frequency of 12 Hz and a wavelength of 3.0 (2, kbw* 1as6dtvud 2ll ,avjzdgw0e -m?

  What is the velocity of a wave t ij4-h kf7-0c2 gtnmoihat has a wavelength of 3.0 m and a frequency of 12 0 - c2khn-i t4mgfijo7Hz?

  What is the frequency of a 2.5 m .pi 6jvj*4suef21 jmawave traveling at 1400 m/s?

  A piano string of linear mass density 00-a ihci/+ a+nocxl xloy031e.0050 kg/m is under a tension of 1350 N. clinyl- eh3 o+aoi1+xa/x00 c What is the wave speed?

  A string of linear density 6.0 g/m i. fkmu .vb u/cm5tp3pn,iom84 s under a tension of 180 N. What is the velocity of propagation of transvtofvm.nk uimcp. /p5m 8,b4u3erse waves along the string?

A wave whose wavelength is 0.500 m is traveling down a 500 m long wire whose to,k2bb0 (/wq.q5tnekhhm3 w(f mjh (w wta f k. m,bq2ew3(((wkbhh0m/jqwt nh5wl 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 on a 2.0-m long string fixeg2;x;6v, e4gd vm c:kbq/togmd at both ends is 200 m/s. Which one of the following is nov ,t gbg2mcm/v o:d;;4gekq6x t a resonant frequency of this string?

  If a guitar string has a aumc t5me. r*8fundamental frequency of 500 Hz, which one of the following frequencies can set the tr8ac*m. 5eum string into resonant vibration?

  A stretched string is observed to hphsti45r9e avz x)- wij1h:(/pop ndc1n c:*dave four equal segments in a standing wave driven at a frequency of 48pihp:irvwxoc dzns5 *t :1j4(/eh) p-9 a1cn d0 Hz. What driving frequency will set up a standing wave with five equal segments?

  A string, fixed at both ends, vibrates at a frequency of 12 Hz eh qw6nen-du7:w v yk2kd9 3f*with a standing transverse wave pattern cdk7n-f vwheye93*nq : 2w6kudontaining 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 under a 1 nb s(u(z. j1iwbq:gctension of 20 N. What should its length be bnj1cwzqbigs((u .:1 if its fundamental resonance frequency is 220 Hz?

  Find the first three harmonics of a string of linear mass density 2.00 g/m fwp0r(yav+)d sj)66phv1 a oxand length 0.600 m when it a 6vd) fp+s jr)01yox a(whp6vis subjected to tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. When the string vibrates at axc ; jaxmo+*.x*uk 2,k.r axyc5q(qog frequ.,omg*rx+( ca 5o uxxkqc;jk*ax.2q yency 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.