The time for one cycle of 7 jdb33f7td fopc8x4ta periodic process is called the

  For a periodic process, the number of cycleh r i+w1k m5/7/(yaogqcq0gmys per unit time is called the

  For vibrational motion, the maximum dapf/s. -sn:myisplacement from the equilibrium point is called th pys/:s amfn.-e

  A mass on a spring undergoes SHM. When svoc:v m 880u2 yym(z3ncu)l 54ulrgs the mass is at its maximum displacement fcsu2yvym8oc3 mns uzgr: (5l4v8l)u0rom equilibrium, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass passes througfzj: x 3 a3 f4 z7t5kxg-az8--emjlwguh the equilibrium pom - 7zal x5egjjxff438u3ag-w- z:k ztsition, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass is at maximum displacement ie ifigy )/8h.z+xko2 from equilibrium, its instantaneous a8e x2kyf gh i/i.iz+)occeleration

  A mass is attached to a vertical spring and bobs up and down between poib:)bk t7 5p7+by19o(bz riyjqn1b qtqnts A and B. Where is the mass loq17 o:qp)qykt +yn9bb17br tzb jbi( 5cated when its kinetic energy is a minimum?

  A mass is attached to a vertical spring6io erc u;h7wh;laechul9m3s 37 r3vhd+35 mt and bobs up and down between points A and B. Where is the mass located when its kinetic energy is aa3rhhu;;+7et9we 7micmsl3ldo6vr3 3 hh cu5 maximum?

  A mass is attached to a vertical spring an-sgizgh ql)k*9z:g zj/vvu9 3d bobs up and down between points A and9gv/)sig qg j *3zlvh:uk-9zz B. Where is the mass located when its potential energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down between p1o23rswyz o:2jot+l v oints A and wy1:zsvrjo 32otlo2 +B. Where is the mass located when its potential energy is a maximum?

  Doubling only the amplitude ofa +b/q pl u oxe4yr-yte)zlg/5-3stx( a vibrating mass-and-spring system produces what effect on the syspz qg45e/(+tsor t 3- /uelx-a)yyl bxtem's mechanical energy?

  Doubling only the mass of a vibrating mass-and-spk70if+p 6yus iring system produces what effect on the system's mecha6fi sk7y+ 0iupnical energy?

  Doubling only the springe6 bqya xu(yg; btdu6y4,q8nn-p)qo , constant of a vibrating mass-and-spring system produces what effect on the system's mechanical energy oebqqn4yt6qdug 6,,ux()pa- y8;nb y ?

  A mass oscillates on the end of azl2qnrv,9,de0;ze y9k gf rq ( spring, both on Earth and on the Moon. Where is the periofgv(d9 eykq,; l0 9,r2 qznzred the greatest?

  Increasing the spring cr-bxqz uoss7s3.b * e*uv-2zmonstant k of a mass-and-spring system causes what kind ofs eub v7-zm.s3-oqrb *xusz*2 change in the resonant frequency of the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-zgu +tnrl03+vql;o-j8r1l6*zb d c jd and-spring system causes what kind of change in the resonant frequency of the system? (Assume no change invoj-b0l3 l;jndur6 c1 r8dzglz*t + +q the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system causes 3oxnoox:7t (b what kind of change in the resonant frequency of the system? (Assume no other changbt(3ox7oo :x nes 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 consn0kag5/aerm3s1 j 0 zkyf(1asists of a mass M attached to a weightless string of length L. For this system, when unde fzaj m(ka3a0rn/5 0ys1ksge1rgoing small oscillations

  When the mass of a simple pendulum is tripled, the time required for one complv/6 qj/ jv :a4lp+rkf ,,lotilete 4 /vot+ /kpji,qfll6r, v :aljvibration

  Both pendulum A and B are 3.0 m lo3n cexwyb0/c-3(m x)q6mtw)s1ozpf xng. The period of A is T. Pendulum A is twice as heavy as pendulum B. Whas)xw-t cn3c/we1mz)yb x6mo f ( p0q3xt is the period of B?

  When the length of a simple pendulum is tripled, the time for one complete vibragjvk -m3 h,hm( 15unwre5j foz (6q)zstion increases by 3zmgjmq5(,6fe)( r h-z5jwvu 1 skohna factor of

  What happens to a simple pendulum's frequency if bo v9axk:zx 3wn0th its length and mass are increa9x a03xkwv zn:sed?

  Simple pendulum A swings back andgs4g3g)+ wdc0qga/p7 jjq8f x forth at twice the frequency of simple pendulum B. Which statement isspa03/c 4+) qjdq78xjgfw g gg correct?

  If you take a given pendulum to the Moon, wheu:ev( *w4 luvore the acceleration of gravity is less than on Earth, the resonant frequency of the pendulum wi v v*euo(ulw:4ll

  Curve A in Fig. 11-1 representsxgwytik6 b n5,s5r 42r

  Curve B in Fig. 11-1 ru6p.8o-;p yp56/lsaicn bxxk epresents

  Curve C in Fig. 11-1 represe z/kau i:f,2wxa/* funrvv.0vnts

  For a forced vibration, the amplitude of vibration is found to depend ohoiv0 c;p ia0e9fx oj l,ocht./m)- 6on the

  In a wave, the maximum displacement of points of the wan 1qpwahhnmkr;-u( .+ve from equilibrium is called thq+;phar(uh1.nm- w k ne wave's

  The distance between successive crests on a wave is called thcr6ox 6s4z.1t.8jech yg dop:e wave's

  The number of crests of a wav*cutfua8e2u dl (54cun8 qu:ae passing a point per unit time is called the wave'cecn*tdua 5q8ul(fa4:u 8u2u s

  For a wave, the frequency times the u4pdtz(8t( la6dex 3ol6unb;wavelength is the wave's

  The frequency of a wave increases. What happen n6yo0wln/)n 4wtivd* rvy.) ps to the distance between successive crestspwn6 .yv l d /o0r))ny4nwt*iv if the speed remains constant?

  A wave moves on a string with wavelength l and frequency f. A second wav;la56tn6o;b)orc gw5*vw7 hl-ls x tie on the same strcn)h owo ;;t lli7at6vg6lsw5* b-xr5ing has wavelength 2l and travels with the same velocity. What is the frequency of the second wave?

  Consider a traveling wave on axi 9-8 kjdkcyu1xe;/jbzp1r , string of length L, mass M, and tension T. A standing wave is set up. Which of the following8ze c1ijxdk -u9kby1, pr xj;/ is true?

  A string of mass m and length L 2.h d+r+s i2,ky/lcyvmk n-jo 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 mko ris ,lc2yd+hjvkm/n.-2+yass 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 speedyun zehf.nyz .,p) *)o of a wave in the string is v. What will be the speed of a wave in the string if the length iu.f n*o).h n ey,)zyzps increased to 2L, with no change in mass?

  A string of mass m and length L is under tension T. Tcdh s6w r6xa y(,ku6ol9gjf6 /he speed of a wave in the string is v. What will be the speed of a wave in the string if the ,sw d hu9/xr afclyo6 6(j6g6ktension is increased to 2T?

  In seismology, the S wave 9r2 xufs*9ssw .qs.quu2n jk+is a transverse wave. As an S wave travels through the Earth, the relative motion between the S wave and the pa.9qq2frxnju+ w2*uskss 9 u. srticles is

  In seismology, the P wave is a longitudinal wave. As a P wave travels tvgqt6 w j6 xkkc1veivq7:9- w8hrough the Earth, the relative motion between the P wave and i 6vg-71qte kxwwq 69v:k8cvjthe particles is

  The intensity of a wwi;s 9jkk 3.fsave is

  A wave pulse traveling to the right alon7rs(gu+y1 rp vg a thin cord reaches a discontinuity where the rop7syvrg(rpu 1+e becomes thicker and heavier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudy+ 2wt;ps)x ae;: b0lm.glv1m *xrxhda3*p tu es pass each other on a string, one is travellmsg; t*)m+*ahlye2w av xr.3d;1 :px0px u tbing 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 pass 6r+4q64 nbwrda tdhp/each other on a string. The one traveling toward the right has a po+ar p4h nbr/46t6dwq dsitive 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 time

  Resonance in a system, such as a soaej j9/m+qf(tring fixed at both ends, occurs when

  If one doubles the tension in a,d(emsf9v9zi*ceb2ff.4 ix m 4-u sgd violin string, the fundamental frequency of that s2.iz * ux-m49fevf bde4 9fmi (g,dcsstring will increase by a factor of

  What is the spring constant of a spring that stretches 2.00 cm when a mass ob 7km :u nsod p15,2vvxu)x3fwf 0.600 kg is suspended53u m: npov12x )fdvw,b7sxu k from it?

  A mass is attached toyalhz v; zb4i2vs1;*b6tbbe bww, j1l 7:sv6h a spring of spring constant 60 N/m along a horizontal, frictionless surface. The spring is initially stretched by a force of 5.0 N on the mab 7v l4,;se1bzw;batb hi hwyz v :l*vsb1662jss 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/mrhi 9r)go4 yg; along a horizontal, frictionless surface. The spring is initially stretyg g 4hi9;orr)ched 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 o 2iyi)ccxw45f:q6kc zf spring constant 60 N/m along a horizontal, frictionless surface. The spring is initially6zic4ci 5cw:k qx2)yf 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 cosss7xq05 q;zmw3u- ml mplete oscillations in 5.0 s. Whax ws;mu3l7zmq5s0qs- t is the period?

  A mass vibrates back and forth from the free end of an ideal spring o)1uykm4q awx-u4abe9f spring constant 20 N/m with anabqy)k 9u wm -1ueax44 amplitude of 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 attac5 3b3mz/ wgnf5 /9-etqgxatslhed 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. What is the total energy of the sys3/flgt 53bw9n-tq /zg ae5mxstem?

  A mass undergoes SHM with amplitude of 4 cm. The energy is 8.0 8diyqpga808- iaprz b 5ka -d annu+.6J at this time. The mass is cd6p-p5aik qn0 8+.gabaz8i -adr8ny u ut 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 sprydq(urh 07;n ging of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.nrd 0;(g 7quyh5 m/s at the equilibrium position. What is the amplitude of vibration?

  A 0.50-kg mass is attached to a9cdg(1go3r8.: 5fiov8a; p rw;kp*ak eswkdn 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 whao:* g8p8pc(3dakoe vdirg5 k;9rkn.fwws1;at location are the kinetic energy and the potential energy the same?

  A 2.0-kg mass is attachegg((twd dq9xx d:t h1nlr.k -r/5jd7od to the end of a horizontal spring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. Wxj xo9w( hlrn tdg/dqg1.dtr5:-k 7d(hat is the total mechanical energy of this system?

  A 2.0-kg mass is attached to the end of a b0wh7vgp):k 2ifq; aj horizontal spring of spring constant 50 N/m and set iw)70pqaj ; 2gf:k bvhinto simple harmonic motion with an amplitude of 0.10 m. What is the total mechanical energy of this system?

  A mass vibrates back and forth from the fep i t82by;-btakpy 1:ree end of an ideal spring of spring constant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kinetyiab18 ;y2bppek:-t tic energy of this vibrating mass?

  The mass of a mass-and-spring system is displaced 10 cm from its eawge c( w3;4htquilibrium position and released. A frequency of 4.0 Hz is observed. What frequency would be ob3agew4;(wh tcserved if the mass had been displaced only 5.0 cm and then released?

  A 4.0-kg object is attached ll 2o*d);o: vxvz*xsz to a spring of spring constant 10 N/m. The object is displacez 2x)dzv*v;*sl :looxd 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 consi:w 64xm/cdr ltant 10 N/m. The object is :4/wdx cil6rmdisplaced 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 l4a z9+,xzsx(qz-rl fwx5 nm3 a spring of spring constant 18 N/m, displaced slightly from its equilibrium position, and released. Wh3 x+fwasmqxl,5 z94rlz z( nx-at is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequency of 1.27 kb4k4 f3o m-uhHz when displaced a distance of 2.0 cm from equilibrium and released. mb4fu o-kh43k What is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to diff we-, m*+bhzx8au wru.erent springs. Mass A vibrates with amplitude of 8.0 cm at a frequency of 10 Hz and mass B vibrates with amplituawr8ze *u+.xw bumh ,-de 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 equilix u4m ls1yj;4gbrium the mass stretches the spring 2.0 cm downward. The mass is tg1;u y4sxl jm4hen 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 onqzt6t47vpfco q9t: y+y .x; rd a spring. In equilibrium the mass stretches the spring 2.0 c7pdr+ tc4q9z;yt:f y.6otv qx m downward. 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 sprine(jwob1 (k8 yzg. In equilibrium the mass stretches the spring 2.0 cm downward. The (8 jyw koez1(bmass is then pulled an additional 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 powb),iu6kg1 ta sition versus time equatiok,gatb61) wuin:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following positib5+mx3b;y ganon versus time equm+3yxgab ;5nb ation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following position ver 44ecc,cp0 n,spu1adh sus time equation:4,1un c,c0pshepa 4 cd
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring e; l5gynw5oqcec* e w4zj)19ly xecutes simple harmonic motion according lln*o5z) w y qw 5jecyc;g4e91to 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 oscillate5hoa8c 4m-bjf s on a horizontal, fric bo-mh5a8 jfc4tionless track. At t= 0, the 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. (x,g+/bzl te* w4/yxb 3(ldmaja) What are its frequency and per xmj(gbza3+l/w * lb/4tydx, eiod on Earth?

  A 3.00-kg pendulum i w(iy ),inmtqnu4a 6)jvfy1c7s 28.84 m long. What is its period on Earth?

  A pendulum has a period of 2.0 s on Ej0qaff3bx s3r1 . z8laarth. What is its length?

  The pendulum of a grandfather clo)x9zq v,/x f9x*bnd dlck is 1.0 m long. What is its period on the Earthqb/dxvx99)zd,fnx*l ?

  The pendulum of a grandfather clock is 1.0 m long. What is its periowbq t;auc+c2e*qg b17sgdy(0d on the Moon where the acceleration due to gravity is on (ybd7t1q *gqbc ua;c2ge+0s wly $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attached to a massless s,6gs6lcy, s *l i9jvjhj7uas6i *5higtring. When the mass iiv*c7a6i6,5ul 9lj6ssgjj hh*yi gs,s 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 0.50-kg mass (same diameter sphere) had been attached to the string instead?

A simple pendulum consis3d c m(iv nt3v6rheh+l;kqm (8ting of a 20-g mass has initial angular displacement of 8.0e. It oscillates with a period of m36v3+hd(;qi m8rkhc l(t env3.00 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 givenb:6*m rp c(lpd time. The frequency of the waved(*rlmpbp:c 6 is 120 Hz. What is the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency of the mv a,,ne,ispll*3p4o wave is 120 Hz. What is the om34a*,l i spvel p,,nwavelength?

  Figure 11-2 is a "snapshot" o86x(siy yhmb(dr ;0vyu oh(90y umi,uf a wave at a given time. The frequency of the wave is 120 Hz. What is the waveivub 8;myxhu(ysdr60 9 (mi0,oyy u h( speed?

  What is the frequency of a wave which has a perzyl r/9;gax pflb 5m*)iod of 6.00 ms?

  What is the period of a wave with a frequency of 1502gsf7 rqfs4 r.smj3s / ck5gv,0 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz and a wavelength ;jz2v 9ze;*8vtujr-edu.n zg of 3.0 m?jz 8tn;;ur.de ujz9v- *2ezvg

  What is the velocity0-hki6byhej x*-zr -s of a wave that has a wavelength of 3.0 m and a frequency of 12 Hrh je sz*i6y--h0-xb kz?

  What is the frequency of a 2.5 m wave travelingdk92xjv-*, )g p2 7f)cltuxnsaq qdi 3 at 1400 m/s?

  A piano string of linear masas d)7d+w)5qjiul0zydm*b8 ls density 0.0050 kg/m is under a tension of 1350 N. yid 7l )0 zq)w+dmjub8d5a*ls What is the wave speed?

  A string of linear density 6.0 g/m is under a tension of 180 N. What +nm hhikc )c1c2i2(hdis the veloci22idm nh 1+c(k)chich ty of propagation of transverse waves along the string?

A wave whose wavelength is 0.500 m is traveliykbi4n 6/4 ftlng down a 500 m long wire whose totkit lnf/4 y6b4al 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 o5) dk ntu1lxz p:degti(r6u*1 f a transverse wave on a 2.0-m long string fixed at both ends is 200 m/s. Whit(n 65u 1p1lde:zr) utxdg*i kch one of the following is not a resonant frequency of this string?

  If a guitar string has a fundamental frequency of 500 Hz, which onegx dy(/5,)x5 cdwmzzi of the following frequencies can set the string into resonant viyxwi5 )zdg5m ,/(c xzdbration?

  A stretched string is observed to have four equal segments in a standing wr7*m1 p )xv wd+uhakznn;;sl4ave driven at a frequency of 480 Hz. What driving frequency will set up a standing wave with five equal segmenud;h7;mxal4 nv)+n1s rwpz*kts?

  A string, fixed at both ends, vibrates at pz , 5pow+n 7yll)fqx)9exh(ta frequency of 12 Hz with a standing transverse wave pattern con79,w(znflt x qoep) +y5xp )lhtaining 3 loops. What frequency is needed if the standing wave pattern is to contain 4 loops?

  A string of linear d*w vr 1cws 5ge)/,aag; sr:rxcensity 1.5 g/m is under a tension of 20 N. What should its length be if its fundamental resonance frequency is 22sraw5)sre:x 1/ gwa,grvcc* ; 0 Hz?

  Find the first three harmonics of a string of linear mass density 2.00 g/ykd 57ybeky3(ee .c oek7 ;j(rm and lee5dy(7jk3 eec; ery7(kkby .ongth 0.600 m when it is subjected to tension of 50.0 N.

A string of length 2.5 m is fixed a03ylz x.un u15 ir+zfat both ends. When the string vibrates at a frequency of ur 5+iz ln.1u3x0a fzy85 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.