The time for one cycle of a periodic process is cau7p; k9j 14edpwr-qqeg 21 ikylled the

  For a periodic process, the number of cycles per unit time is;v(xvooeg c ;5 called the

  For vibrational motion, the maximum displacement from the equilib5o:kf/us2r ld bj8b4krium point is called t/8f u5d jslb4b:kkro 2he

  A mass on a spring undergoes SHM. When thebs1210vl98 fphc lvf8qr8 cv*qcf5 qs mass is at its maximum displacement from equilibr8c8vpvf s10srcc*qlvqb 2 fl 5f9q1h8ium, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass passes through the equigyaxinbz8:qj1 c;z.7 librium posi; 1z.nq c8gxi7j: bayztion, its instantaneous velocity

  A mass on a spring under ;umg(uzj j28 d0j)qxmgoes SHM. When the mass is at maximum displacement from jm xmjqgu( z08)2dju;equilibrium, its instantaneous acceleration

  A mass is attached to a vertoxvbb ui5-e0f:8be t: ical spring and bobs up and down between points A and B. Where is the mass located when its kinetic energy is a8 ub:: tbeo05-ixb efv minimum?

  A mass is attached to a vertical spring an.b6,b0hcg1 zn.kbn 8jp1 vzzbd bobs up and down between points A and B. Where is the mass located when its kinb1bcz.0vnb g6 bh1,j kn8zp.zetic energy is a maximum?

  A mass is attached to a vertical spring an+ .5mw3htamakd bobs up and down between points A and tw 3 m.aam+kh5B. Where is the mass located when its potential energy is a minimum?

  A mass is attached to a vertical spring au90c ;nms8hfdpj as(2 nd bobs up and down between points A and B. W90hsps2u( ;n jm 8adfchere is the mass located when its potential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-spring syste e6 *0-d,mf xgtmjlp4vm produces what effect on the system's mechanical energtgmx0f d*,- ve4p6lj my?

  Doubling only the mass of a vi xayb6hu)e.hv qb :,(mbrating mass-and-spring system produces what effect on the system's mechanical enxvube(6 .),hhym a :qbergy?

  Doubling only the spring co; lcieg t ,hbi(io(w81nstant of a vibrating mass-and-spring system produces what effect on the systbiho8we ;g1i li(ct(, em's mechanical energy?

  A mass oscillates on the end of a spring, bots 9z80* ns,irg pmurw7h on Earth and on the Moon. Where is the period the g s0ugspz9rmn ,78irw*reatest?

  Increasing the spring constant k of a mass-and-sprinm dno9(cr h). uee1ci*g system causes what kind of change in the resonant frequency of the system? (Assume no change in the syste(u.de inhcmorc*1 )e9m's mass m.)

  Increasing the mass M of a maqx )h5 j:wvz6j(cwo; iss-and-spring system causes what kind of change in the resonant frequency of the system? (Assume no change in the system's spring coj65;i:hxq)joc(z wv wnstant k.)

  Increasing the amplitude of a mass-and-spring system causes what kind of changle fovl c8k6r6p-l+c* e in the resonant frequency of the system? (Assume no 68+ccvf er- *lko6lpl 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 we1w5cb hib,ccyf;a g-1uc3a h )ightless string of length L. For this system, when undergoing si a-hh ; 3cbucw,y1)cafgb1c5mall oscillations

  When the mass of a simple ph 0 8 fd36nlx+qiy ,3azglaa6pendulum is tripled, the time required for one complete vi6h 3d ,qyfzg8lp ai063lax+nabration

  Both pendulum A and B are 3.0 m long. The period of A is T. Pendulum A is t kgex525crsjn 6yt :0.gd ,erswice as heavy as pendulum B. What is the period :x 5 gegr,cstsj0r2 d6kye.n 5of B?

  When the length of a simple p r 7,ryrj aqxb0rpf(,(iez(c6endulum is tripled, the time for one complete vibrab, r az0rr,(6 y7f(c( exjiqprtion increases by a factor of

  What happens to a simple pendulumx2i8et ta0a5l 's frequency if both its length and mass are incai0e58atl xt2 reased?

  Simple pendulum A swings back and forth at x q qrxz:knbkts w. 8w4(oh071n(x(pstwice the frequency of simple pendulum B. Which qbnn 7whk(1 t:(s0(x 4xwzpok 8.xsrqstatement is correct?

  If you take a given pendulum to the Moon, where tj kwx8;zw+8vyb9 1hp she acceleration of gravity is less than on Earth, the resonant frequpjxs;8w 9wbvz+ yk18 hency of the pendulum will

  Curve A in Fig. 11-1 reoh96qt;*fj;mm06os b g obde ,presents

  Curve B in Fig. 11-1 rep3,u7zz*nceak u/o+ b 7otlmc ;nc8eo+resents

  Curve C in Fig. 11-1 represent8m;g6mz, o* g5 s2: oifa1ggsvd/vffzs

  For a forced vibration, the amplitude of vibration is found to depend on sxak+v1rr9 w.h)qgl0:zhbr) i: / jasthe

  In a wave, the maximum displachn5 +0sd(cqxy ement of points of the wave from equilibrium is called the wave'sxy0+d (c5s hqn

  The distance between successive crests on a xf lugm*dpe ,r767z:cwave is called the wave's

  The number of crests of9x /gnrmshnw2: 0:b at a wave passing a point per unit time is called the wave's hb0/g s92w:nanr:xt m

  For a wave, the frequency time3t7s;c ov*eo4 +cg qsws the wavelength is the wave's

  The frequency of a wave increases. What happens to the dista0mfh/bgv nn7r,/cte( nce between successive0nc ef ghv n7,mt(br// crests if the speed remains constant?

  A wave moves on a string with wavelength l and frequency f. A second wwyg9.e(f pjv*v diw dse j(l+n5 0,sd6ave on the same string has wavelength 2l and travels with the same velocity. What is the frequency of the(vs y (fln,je9dd.dp ewsig560+wj*v second wave?

  Consider a traveling wave on a string of length L, mass M, and tensx dkv0j( m0vy(ion T. A standing wav(kjxyv0 0m vd(e is set up. Which of the following is true?

  A string of mass m and length L is under .wch93 2*5pp xdhyqr.3:au 8. bk lne2mytalbtension T. The speed of a wave in the string is v. What will be the speed of a wave in the string if the mass ofpe:p.ywy3 d*98lh 235l .n m2haark bucqbt.x 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 wav q(i7s/tc 9z6gl:nkz szo: f5re in the string is v. Whatc6s7:k(z l9:zit5 qsnf/gzro will be the speed of a wave in the string if the length is increased to 2L, with no change in mass?

  A string of mass m and len, rqwrd 9++ibyv99r iw-pu9wigth L is under tension T. The speed of a wave in the string is v. What will be the speed of a wavew 9v 9+ibw 9-, p9ruwq+riridy in the string if the tension is increased to 2T?

  In seismology, the S wave is a transverse wave. As an Sr;xpm*8w 5ywz4br zsu7r ylr2;:g. zv wave travels through the Earth, the relative motion between the S wave az2rvpx.85rw*g rlm : rz4bws7 y;yzu;nd the particles is

  In seismology, the P wave is a longitudinal wj1(vrsp:q;: poy ig4have. As a P wave travels through the Earth, the relative motion betw gqo1jh;syr:(p vp 4i:een the P wave and the particles is

  The intensity of a wave is,fobxw t nrpodywman( 7 q 1ip 6:9yb;:ix+z52

  A wave pulse traveling to the right along a thin cord reaches a discontinuihcj6a-5y w.8uyu cm8 uktw5s5 ty where the rope becomes thicker and heavier. Whu u.hj58wm 5sacy6wuc5-t8 k yat is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each other on a9 :4sdl 5. b1slamt.q*polkv:(efw wx string, one is traveling toward the right and the other toward the left. At the point that they occupy the same region of space amqw:lf s*b(ts .d lk9xe.paow14v 5: lt the same time

  Two wave pulses pass eacya /3/ kpkb3u:y473pghxiywb tqd8 h4h 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 thiw4u8/ /h3bg3py :yh4 bk3 yp7qkdtxaat they occupy the same region of space at the same time

  Resonance in a system, such as a qu 52hgaq9ek 4kux2w kqu-ykd01ik+) string fixed at both ends, occurs when

  If one doubles the tensicjhw-md1 sfh7 ()/ qhqon in a violin string, the fundamental frequency of that7hm/qh(h1 sqfwd) cj- string will increase by a factor of

  What is the spring constant of a spring that stret5-v4vg :yvv npches 2.00 cm when a mass of 0.600 kg is susp :vgnvpyvv4 5-ended from it?

  A mass is attached to a spring of spring constskrui82+d 16w m pc9uwant 60 N/m along a horizontal, frictionless surface. The spring is initially 29w pwi6u ksuc81mr+dstretched 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 constr hxezk08mjgi w 1-v n44)bnx4ant 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.wnh0 je4m ik4vrxxb4 g1z8n) -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 wjo5v j*d*s8unrx jfk7 z0w2:8jr3peN/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 backw j :8z0j v*e jr5w*f7uo2xkp3sr8nd j 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 complete igt lcd) )da-+oscillations in 5.0 s. a ddgi +lc)t-)What is the period?

  A mass vibrates back and forth from the free end of an ideal , k15vm 4/3dz xe)*wil egqhuc/wri s,spring of spring constant 20 N/m with an amplitude of 0.30 m. What is the kinetic ene)/iw*l/uhx qmk3g5 zc ei,4r w ,e1vdsrgy of this vibrating mass when it is 0.30 m from its equilibrium position?

  A 0.50-kg mass is attached to a sprigyf. wo)/ov-ong 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/sywg oo) .o/v-f at the equilibrium position. What is the total energy of the system?

  A mass undergoes SHM with amplitudqpv 4g xi bfxk,x+e9*.e 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 amplitud *g+9fex vkx. ixp,4bqe 4.0 cm. What is the energy of the system now?

  A 0.50-kg mass is attached to a spring of sprinkleip25r es*qm3 a7) ug constant 20 N/m along a horizontal, frictionless s*maekru es i7ql)p 325urface. The object 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 whnh5hqpl, u62 zu;l9 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 tl;z9hnq 6 phw2,5hl uuhe kinetic energy and the potential energy the same?

  A 2.0-kg mass is attached to the end of a horizop ysg*9 ,l7ozgntal spring of spring constant 50 N/m and set into simple ,9los z gpyg7*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 spm2 p79 qq9pih7vdp6lk,qy4 qfqc1 os/ring of spring constant 50 N/m and set into simple harmqkql dqoy17 i6qq7vfp/m2c,9h4p s9ponic 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 free end of an ideal spring of sprinw 6p*/dyopu +t2 qq3weg constant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kinet +woye6q3u*pw2 qp t/dic energy of this vibrating mass?

  The mass of a mass-and-spring system is displaced 10 cm from its equilpr,6bfb7np0cl2l5ax9s tt/ y-i8 gms ibrium position and released. A frequency of 4.0 Hz is observed. What frequency would be observed if t 0ax f52grbnpst79 itcp,8 /syl6b-mlhe mass had been displaced only 5.0 cm and then released?

  A 4.0-kg object is attached to wlt 2g205 zvhdobiw7q;8d g)da spring of spring constant 10 N/m. The object is displghqdd) ozwg2w di;8lb75v02t aced 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 objectp wq l b(y72uh9+fea5e is displql2b(pae 7ew +9fu5 yhaced by
5.1 cm from the equilibrium position and let go. What is the frequency of vibration?

  A 2.0-kg mass is hung frogpqlz)); h4tsizpl 3,m esv24m a spring of spring constant 18 N/m, displaced slightly from its equilibrium position, and released. What th4z;2 )i gp s)qvl4ezmlp,3sis the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequency of 1.27 Hzcxrdo lc,q0; 8 when displaced a distance of 2.0 cm from equilibrium and released. What is the maximuc qd;o80 c,rxlm velocity attained by the mass?

  Two masses, A and B, are attached to different springs. Mass A vibraterfm1 u 1c:v8h.ntp4vxs 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 mcr:4t8 phnv 11mfv.xuaximum speed of B?

  A 0.30-kg mass is suspended on a spring. In ,r4a38mtwpq5igb d 3s8g9z w n1 ky6vlequilibrium 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. Calculate the pe d8,t 6y9bs rg31iwzp4mw3 qv 8nak5glriod of oscillation.

  A 0.30-kg mass is suspended on a spring. In equilibrium t5b ;m brz- jwdu4dg j4az+t sj+6nlj):he mass stretches the spring 2.0 cm downward. The mass is then pullrmajl4 zb 6+j wdtj +s5:jg4d;u)-nzbed 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 spring. In equilis-; bykk f/-pzv)v/ki v+o8g tbrium 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 equat-/yvkvpk;ib- / ks vg+ )ztfo8ion of motion.

  An object in simple harmonic motion obeys the following position versus time 6(-:erqvksfhequatior(- kfq h6ev:sn:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmka z*zdwb2lw56f b92monic motion obeys the following position versus time equat6l *w 2m59k2b dfwzzabion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following h1m- q5x(ni4 ra smk9mposition versus time equams-kmq(nxr h1i 945mation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple harmonicdj sctk(8xyuj zu(9 (bbft;m.a/m:4 w motion according to the equationt(j 4 z9dsc m :a8(fkwbj;y/bux.u (tm $y = 0.50 \; \sin (18\pi \times t)$ 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;vey 01as dysoc* ym +r0ioo3.n a horizontal, frictionless track. At t= 0, the mass is released from rest at x= 10.0 cm. (That is, the spring is stretched bymo +osi;yver*1s 3yy0 o0 .adc 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 swinfr1p)(g7ld bqgs in 8.0 s. (a) What are its frequency and period on qdfgl7r (pb)1 Earth?

  A 3.00-kg pendulum is 28.84 m low q;i aw)ia szn1zv*3+yb( .seng. What is its period on Earth?

  A pendulum has a period of 2.0 s on Earth. What is its le8 sq872gg5k0rrrs47taenhnn ngth?

  The pendulum of a grandfather clock is 1.0 m lon,5lhpjtnqj8 -g. What is its period on the Earth t,hjj nqlp8-5?

  The pendulum of a grandfather clowv7twn r.5s ,gck is 1.0 m long. What is its period on the Moon where gw rv75 swt.n,the acceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum conbhq9jdb xon -4f:df9-sists of 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-q:j h99 4ffbdx-ndbo 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 ,einv1ej e(2p of a 20-g mass has initial angular displacement of 8.0e.,2ji1nvepee ( It oscillates 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 w7hecuj*-;o 9rxi e ig;ave at a given time. The frequency of the wave is 120 Hz. What isixroe79u*-e c;; hjg i the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given time. Th:v s5rjpn8a9 km qwimc 2lu+)5e frequency of the wavenrm8m)52:kacqivujwl 9 + sp5 is 120 Hz. What is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given tia u*7 auii i;;i5g+mccme. The frequency of the wave is 120 Hz. What is th gicaiiuic+ 7ua ;m*;5e wave speed?

  What is the frequency of a wave which has a period of 6.00 ms?tf;ycg :3qlq.0bs cnu3uq 7aq4)xz 7m

  What is the period of a wave with a frequency of 150 h(xe9+ahzxa6b m*y* d0 Hz?

  What is the wave spej/drptx3i/ *b rd 7)wbed if a wave has a frequency of 12 Hz and a wavelength of 3.0 i/w7drtdpb3 ) jx/*b rm?

  What is the velocity of 8e3+gxyvret:,lf7uerfyt() a wave that has a wavelength of 3.0 m and a frequency of 12 Hzyyv, rre+e7ufe:3t tfg(lx)8?

  What is the frequency of a 2.5 m wave traveling at 1e -r.1fyby. v2qori knjoy-w2(*y a1i400 m/s?

  A piano string of linear mass density 0.0050 k 4zd7czwsqci-8usp ct+y2 4 0hg/m is under a tension of 1350 N. Whas7hc 4ccy-wds28iut+0p4 q zzt is the wave speed?

  A string of linear density 6.0 g/m is under a tension of 180 pet;ylg,0j / qplgh) 4N. What is the velocity of propagation of transverse waves along y0gq g,;t4jhpl/pe)lthe string?

A wave whose wavelength is 0.500 m is traveling 2( zqhl(,as gtcgef*. b rk:)qdown a 500 m long wire whose total c,:z (gkt ab ql regsq2f.(h*)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 s)pg t37,lcgq* yhuh ,)zzz, vdtring fixed at both ends is 200 m/s. Which one of the following is not a r gch)dp ),zht qy 3z7u*,vz,lgesonant frequency of this string?

  If a guitar string has a fundamental frequency of 500 Hz, which one of the folloc cy1;; lzl8aewing frequencies can set the s e 1;8lzl;ccyatring into resonant vibration?

  A stretched string is observed to have four equal segments in a standing wave :jxb+;oktq vn+1a)z bdriven at a frequency of x+bq+b1 zvn )tkjo:a;480 Hz. What driving frequency will set up a standing wave with five equal segments?

  A string, fixed at both ends, vibra4- yuto473c+ lkirqmp-yg v2hv:6atbtes at a frequency of 12 Hz with a standing transverse wave pattern contyg+ l6at v4yohm3q 4k -btv72:u-pciraining 3 loops. What frequency is needed if the standing wave pattern is to contain 4 loops?

  A string of linear densit:8vttn ;ga 3xey 1.5 g/m is under a tension of 20 N. What should its le;e 3gn:t vxta8ngth be if its fundamental resonance frequency is 220 Hz?

  Find the first three harmonics of a string of linear mass densiwemjqn1jgtw8i ;-)u 7 ty 2.00 g/m and length 0.600 m wnqjt-u; jew m87wg1 i)hen it is subjected to tension of 50.0 N.

A string of length 2.5 m is fixed at both en bdh30wg) c,(whdwi8w1l me m8ds. When the string vibrates at a freque8id,wg0wlmhdw)31wm 8 c ( behncy 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.