The time for one cycle of a periodic process tszrsq*i v 7t :qkn4*7is called the

  For a periodic process, the number of +;vry gmv76.a q p:pkocycles per unit time is called the

  For vibrational motion, the maximum displacement from th3drkr6 nw; qw)e equilibrium point is calledwrr6q k n);wd3 the

  A mass on a spring undergoes SHM. fw; ew 4byt er3r,gh .e*dk(9yWhen the mass is at its maximum displacement from e,k hy9e(bd.3;w4trgwye f r e*quilibrium, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass*t-3 j dq)ikzq passes through the equilibrium position, its instantaneous velociz)3j qk-*tdqity

  A mass on a spring undergoes SHM. When the mass is at maximum dd(mt e*v7eo6aisplacement from equilm *vdeota(e 67ibrium, its instantaneous acceleration

  A mass is attached to a vertical spring and bobs pn -u3k zv62m*tfvri8 td)7kdup and down between points A and B. Where is the mass located when its kinetic energy is a minimumvnmf6) v t7drpt* dk8ki-3uz2?

  A mass is attached to a vertical spring and bobs up and do( 3ei*aj zijq1wn between points A and B. Where is the mass located whenqejaji1(i *3z its kinetic energy is a maximum?

  A mass is attached to a y x8.7shdgtm x y(tuv+:d :e6xvertical spring and bobs up and down between points A and B. Where is the mass located when its d8:egx:muh sx .7ydt x(vt6+y potential energy is a minimum?

  A mass is attached to a vertical spring and bobs up and dy(3 c77/ prq3my fmtxzzj3yg 9own between points A and B. Where is the mass located wheny zj3rm7gzf7x m( /9 3pq3tcyy its potential energy is a maximum?

  Doubling only the ampli +hzs*xpy6f 7kn 2ly9htude of a vibrating mass-and-spring system produces what effeh +6xn2hf y 7*k9lsypzct on the system's mechanical energy?

  Doubling only the mass of a vibrat)o;(rjwaex:hkq 19 c aing mass-and-spring system produces what effect on the system's mechanical e :jrowh(ke)a19xca;qnergy?

  Doubling only the spring constant of a vibrating mass-and-sp0.rjr, nt8xdtpz4pk8g w z 29* ;piurjring system produces what effe tjg r;k ujxz ,r4dw*ip0nz92prpt8.8ct on the system's mechanical energy?

  A mass oscillates on the end of a spring, both onde91,,h9 rip82jxfe 353r; 7n qfuy ahdvq yon Earth and on the Moon. Where is th9yef8od n1iyevx aqd3 57r9hp nu2rf, ;j3q,he period the greatest?

  Increasing the spring constant k of a mass-an vbf m/2l fd .yd;,pd/w d*q41zlma3zud-spring system causes what kind of change in the resonant frequency of the system? (Assume no chang /41,v3; qpuaddl mdmf.wbfzzyd2*/le in the system's mass m.)

  Increasing the mass M of a mass-and-spring system causes whatadaw c-y).3 n/g mp)mn kind of change in the resonant frequency of the system? (Assume 3-nmga/p.n amdw ) c)yno change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system causes what kind of -ephwz;dj9cidaeg 6l 5 dvvstk07r7 ,5v -*cqchange in the resonant frequency of the system? (Assume no t0*6eqiv lcd rjhv pw 9gcz7k ad,esd7v;55--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 we7wqcmqtkk n--k:/q t +4t jlr9z i;xi1ightless string of length L. For this system, when undergoing small os;mc7- wzi xq9 4lq/1kj:in- q+trkt ktcillations

  When the mass of a simple pendulum is tripled, the time required for j9rvcdf72ci oc; y6atxe-)m 1 one complete vibratixj7d -y;91ia6cf rtc2mv ce) oon

  Both pendulum A and B are 3.0 m long. The period of A is T. Pendulum A is twice u b n(y9r;q(x048niy,xk7(malzbkui as heavy as pendulumuxq8nim bkyy(u;a,7(i(xz 0bl kr94n B. What is the period of B?

  When the length of acq - 4,d,nwwwk simple pendulum is tripled, the time for one complete vibration increases bwk,q4wdwn -, cy a factor of

  What happens to a simple pendulum's fs+cc,,bozkht7 c6wk 4requency if both its length and mass are increassk,4b7 cw kth, cz6o+ced?

  Simple pendulum A swings back and forth aje9 7ci hhl7af9h91sut twice the frequency of simple pendulum B. Which st71fh7u9ish lh 9a9jc eatement is correct?

  If you take a given pendulum to the Moon, where the acceleration of gravity cgybrp; v te/c+ .3a2ris less than on Earth, the resonant frequencyrb a;ct2eg3r p/vc +.y of the pendulum will

  Curve A in Fig. 11-1 reprem* dr gt;(r3w1llz 1ze6y l, 0stv5dzasents

  Curve B in Fig. 11-1 reprea57d/ ex 4agnun4y -ot/bd l.hsents

  Curve C in Fig. 11-1 repre fdr/ 0zldnl97/t2bhk qe7y e6sents

  For a forced vibration, the amplitude of vibration is found to depend on +drs*+t gor :uth ;7wsthe

  In a wave, the maximum displacement of points of the wave fromb ec wgksatlk7* 35zc4vd8+w . equilibrium is callgkwwadtbk+*lc5 s8vz.3c e 47ed the wave's

  The distance between successirjd;5nks5t:vfp t 7h6ve crests on a wave is called the wave's

  The number of crests of a wave passing a point per unit time is called the wave'aq7dutl) ;4q8cszylo8pvu x1n - 4gm8s4ln8 up1l q myg 8dv)xt7 su;qa-cz8o4

  For a wave, the frequency times the wavelength is thyuo 0r95d,07we+gbxfyptc5l/ o f ( vibe,g/ve wave's

  The frequency of a wave i;rgmn,em v,zhk (* :z2 li0z wsh-t6ezncreases. What happens to the distance between successive crests if the speed remains com:e0e (l,n km;r62-hiz gw z*z,ths zvnstant?

  A wave moves on a string with ahx)f:5deu5wh( a f.n wavelength l and frequency f. A second wave on the same string has wavelength 2l and travels with the same velocity. What is the frequency of the second w)nu awd5(xfaf:5 h.h eave?

  Consider a traveling wave on a string of length L, mass hl;nb.-i ivle41.9g qgww) ekM, and tension T. A standing wave isw beg q1;.- l4v)n9iwkl egi.h set up. Which of the following is true?

  A string of mass m and length L is under tension T. The speed of a wave in xk d5i9ctpes c9lk 7*a2ea 38vthe string is v. What will be 5ls9 k8va29cx d7 cet3ai*kpethe speed of a wave in the string if the mass of the string is increased to 2m, with no change in length?

  A string of mass m and length L is under t9qaf :.y7w(8d 1q;avafot/p n fgpxyos* no10 ension T. The speed of a wave in the string is v. What will be the speed of a way/fptapfsoa 10xo:a.d vw *;8g ny of97n (qq1ve in the 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 speed of a wave in thcyl*r0n g.o(v 1 xz jl1)(admv *vng.ie string is v. Whl.lgzv c aynx(1r.*o(g0 ni1)vj mdv *at will be the speed of a wave in the string if the tension is increased to 2T?

  In seismology, the S wave is a transverse wave. As an S wave travels throc8*e -*ehc,6z)gb tsawll )k 3 ssm1uvugh the Earth, the relative mot3c-g h8k1l wsu, ecb*t) )s6as*lmzveion between the S wave and the particles is

  In seismology, the P wave is a longitudinal wave. As a P wa*g3b0nh4+f-qstrdu8 eyh5 y hve travels through the Earth, the relative motion between the P wave and th+-rfgud0y5 hehsn 8b*t3 qyh4e particles is

  The intensity of a wave isqhp -qo++bt i.

  A wave pulse traveling to the right along a thin cord reaches at/c;nnw7h: dr discontinuity where the : ;7wthc/rnd nrope becomes thicker and heavier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pasm3p7clu5r7 zv9 m+i ses each other on a string, one is traveling toward the right and the other toward the left. At the point that they occupy the same region o zmp9i s+5m uc377evrlf space at the same time

  Two wave pulses pass each other on a string. The o6q+.wt rf oycs9 p42efne traveling toward the right has a positive amplitude, while the one traveling tows 62+rcw4foe.f9qtpy ard 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 fixed at both ends, occ,3l,f uw* bqjyurs when

  If one doubles the tension in a violi20kgi;lz )qb in string, the fundamental frequency of that string will incrlibq );2gzi0 kease by a factor of

  What is the spring constant of a spring that stretches 2.00 cm when a ci8lp n30 iec) ak5eyhms++,a vu9fb5mass of 0.600 kg is suspended fr3acynli 0++fhc k8 as )b5mieve,9pu5om it?

  A mass is attached to a spring of spring constant 60 N/m along a horizontal, fri7p dtz zem zm h6y9w;p+pqg279ctionless surface. The spring is initially stretched by a force of 5.0 N on the mass anwq+dh97 yzeg 9zt2zp pp67m ;md 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 Npn,io/7 1qu pkb.w m3a/m along 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 is the period of om 7bpoiaq/,1.nk pwu3scillation?

  A mass is attached to a spring of smu +cnc+c3h5a.5x0i shr v libruo07/pring constant 60 N/m along 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 uuic7/ cr+.5 h0 cv3b5haml0s+ oxnirback to its equilibrium position when it is oscillating. What is the frequency of oscillation?

  A mass on a spring undergoes SHM. It goes t c z 2v2rqvd/knk:e/:ohrough 10 complete oscillations in 5.0 s. What is trk2e n :cd /2:oqk/vvzhe period?

  A mass vibrates back and forth from the free end of an i4:thc )6(yn g:n e-3ztso aizmdeal spring of spring constant 20 N/m with an amplitude oye m6-3o: zzanhngt:)i4 (t scf 0.30 m. What 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,yd*l)cuq* yronstant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of* r* y,uldy)cq 1.5 m/s at the equilibrium position. What is the total energy of the system?

  A mass undergoes SHM with amp p3nonsuqp (ps:lo8ws78h-j 7litude of 4 cm. The energy is 8.0 J at this time. The mass is cut in half, and the system is again set in motion with amplitude 4.0 cm. What is the energy of the system(pspn 83 snp:w7jo-7qosh 8lu now?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m along a aitatl lfq; -9 5,-zzj.pc(jwhorizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s-l9atwfz, 5tjpq a( z;j. ic-l at the equilibrium position. What is the amplitude of vibration?

  A 0.50-kg mass is attached to a s oefkmt(1 rub x+22ms00ff2sxpring 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 positiom xer fo0s ut2fxk+s02bm(12fn. 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 horizonta/ 8mngp2 hudb8l spring of spring constant 50 dp nmbgu88 h/2N/m and set 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 of spriuimd47 ;/)jddk fkc ;kng constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the total mech4k;;k 7dmj/kudcid f)anical energy of this system?

  A mass vibrates back and forth frou2q:lchxl7 76 a1y2 :x7es kvhppiw ,km 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 kinetic energy of this vibratia v x1l2ck72ps7i, :xuy:wqeph k76hlng mass?

  The mass of a mass-and-shu1v b+:-ymms bi7ex.kpq79n:8 is zepring system is displaced 10 cm from its equilibrium position and released. A frequency of 4.0 Hz is observed. What frequency would be observed if the mass had been displa:e-k: is7xyh+v.e zbum1q 9 8nm7pibsced only 5.0 cm and then released?

  A 4.0-kg object is attached to a spring of spring con2pz )o/rxmfo9 stant 10 N/m. The object i/xz9 foor)2mp s displaced 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 10ee.51 7gw-5ahcg* hqpv lsdx9 N/m. The object is displaced 7 ae sdvgh pgqcw5lx1-*eh9.5by
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, displci 4zf*cz 0a0yaced slightly from its equilibrium position, and released. What f 40zcy0a*zicis the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequency of 1. 1q+2k*ar fdjyu3mk; 7u,ustq1iqey ;27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What is the ma3*u u +a2k;isdue k;,y1trqyjq7 m1qfximum velocity attained by the mass?

  Two masses, A and B, are attached to differ3c9; ju 5:fk b-dgotaqent 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 of 16 Hz. How does the maximum speed of A compare to the maximum speedtf q;bou:-9c agj3k5d of B?

  A 0.30-kg mass is suspended on a spring. In equilibr5,pa(.okn1pofva q) pium the mass stretches the spring 2.0 cm downward. The mass is then pulled an addik1 )5pq.pv oonfap(,a tional 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 stu2(x2 eqkwjc;cls6*)a ;m souretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and released fo usl;*;)2uwes qj2m c(6axk crom rest. Calculate the total energy of the system.

  A 0.30-kg mass is sus48l6.j qziacvpended on a spring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additiona 4zvj8q6i cla.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 following positbx75,gt bgkm0 ion versus time equagb m07txkg 5,btion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motio-1id49zcgh-e2 xj fh rn obeys the following position versus time equatiog92he z i-4jrfh- c1dxn:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following po6 jf6inw p5mia 38v;c8jq8pwrb gi 98;bd;z fdsition versus time equatir if;dwnam58vbzj9c6pwdj 8i f3bp 8qi;;g86on:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple harmonic motion acx oa ja2:tz)z)twy*p0*bxuf p) 1. okmcording to the equation)0a2mk xb)zz1t )pty :ju**awfp.oxo $y = 0.50 \; \sin (18\pi \times t)$ 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 o.3d wul aff0q-tj pb4ts3g)u(n a horizontal, frictionless track. At t= 0, the mass is released from rest at xgdat(3b.fp4suuw30) t-l qj f= 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 swinc3.95do3s/3 0 oelwvl4u o 3qrxaskzt gs in 8.0 s. (a) What are its frequency and perios9/k 4ezvat 3o3ox u5. ls0owcrqd 3l3d on Earth?

  A 3.00-kg pendulum is 28.84 m long. What is its 0tr2sti3gt5 bperiod on Earth?

  A pendulum has a period of 2.0 s on Earth. What is it 9,z hip t/ctsa(vab3)s length?

  The pendulum of a grandfather clock is )s) - jp/vjcna1.0 m long. What is its period on the Earthj )anj)vc/s p-?

  The pendulum of a grandfather clock is 1.0 m long. What is itc jrk zt(2ft/4s period on the Moon where the acceleratir(t 4tf c/2zjkon due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attac5ov5r;(jueab x1m4ndj+ bq n1hed to a massless string. When the mass is displaced slightly from its equilibrium position and released, the pendulj5b nq 5;damjxb unr o1(1+ve4um 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 consisk zcw9)kq.fyqmi-g3 v -cbf,(ting of a 20-g mass has initial angular displacement of 8.0e. It oscillates q9-fgq(wmbi-c,k ) f3y cv.zkwith 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 "snaps xa956aycy+je( juj-q q1ac0xhot" of a wave at a given time. The frequency of the wave is 120 Hz. What5+yjqa0aajc 6 9uy(cxx jq-1 e is the amplitude?

  Figure 11-2 is a "snapshot" o;ijpy+d2 7, n2osh.yl 9u meozf a wave at a given time. The frequency of the wave is 120 Hz. ums2j7d.h+ pnezyoy l9;i2,o What is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given f.svr4sz3 7yyawz,)nb:6alui aqd+*time. The frequency of the wave is 120 Hz. What is th*y.az3i:a d)rlzunv+ 6b 7a s,fs4qwye wave speed?

  What is the frequency of a wave which has a period zcp r/32zido7 o-:gh e:mh zpxkj:42f of 6.00 ms?

  What is the period of a wave with a frequency of 1500 q1owjaz(0j ,hi3g1tuHz?

  What is the wave spe vv +vqq:om;8+ug*iyhf8 fid: ed if a wave has a frequency of 12 Hz and a wavelength of 3. g +v::;ivumvd8*8f hqoqi +yf0 m?

  What is the velocity of a wave that has a wavy+ sqq o10mi ;) thvar02(tzzvelength of 3.0 m and a frequency of 12 Hz?)vmv ( y r0st+10qta;i2zzohq

  What is the frequency of a 2.5 m wave traveling at 1400 m/*t, -ulhu4ovis?

  A piano string of linear mass density 0.0050 kg/m is under a tension of 1350 N.iqfd0nfs ya e)720qe q,42kkh What is the wave spe7fh sdyaq4 ki2e)qnq 2e,k0f0 ed?

  A string of linear density 6. e6p)ucz*mg b0iuh.l 80 g/m is under a tension of 180 N. What is the velocity of propagation of transverse waves along the stmz *0iupglhceb6u).8 ring?

A wave whose wavelength is 0.500 m is traveling deaj/rfg oaj2 0ms 5+j4own a 500 m long wire whose total ma 4a/ ro+jmgs 05jf2jaess 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 transvers,n p 34dmm9)kipxx eua(05lv ue wave on a 2.0-m long string fixed at both ends is 200 m/s. Which one of the following ismi)pun0d,lke3 uxax9 mvp5(4 not a resonant frequency of this string?

  If a guitar string ha1 l4rhdpgyl *5s a fundamental frequency of 500 Hz, which one of the following frequenypd r*gl4 15lhcies can set the string into resonant vibration?

  A stretched string is observed to have s h(o(c8 npys .t 9h:wezpm+ 4hs1sue9four equal segments in a standing wave driven at a frequencpo sheyh: z19t+ uscnehsmp.(sw(948y 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 wxm+qv5 o0sq) frequency of 12 Hz with a standing transverse wave patte qs0+5vowq)x mrn containing 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 tension of 2z.k1shuzz u6/inhb 580 N. What should its lenih /bu uzzkhz s86.51ngth be if its fundamental resonance frequency is 220 Hz?

  Find the first three harmonics of a string of line tv/.u x97fx4.dywyb oar mass density 2.00 g/m and length 0.600 m when it is subjected to tension of 5 t47vo yf.b.xxw y9/du0.0 N.

A string of length 2.5 m is fixed at both ends. When the string vibratntnho3*9xs bu 0yk/p )es at a frequency of 85 Hz, a standing wave with five loops is formed.*p)/bx3htos nk u09yn
(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.