The time for one cycle of a perii h6.kbhwmy1g,2i6 qi) e/hy nodic process is called the

  For a periodic process, the number of wgs.x 0x;vjam3 d;bj1cycles per unit time is called the

  For vibrational motion, the maximum displacement from the equilibriuep ircp3v +36 9z/aqeyx;,u xlm point is callea;y63epv /cx ulq+ rz39x,iped the

  A mass on a spring undergoes SHM. When the mass is at its maxi6oidg2*5tlet8/flp w mum displacement from equilibrium, its instantaneous v t2 * 5wptdfoi6e8ll/gelocity

  A mass on a spring undergoes SHM. When the mass1a.x v .8-vjnu09mfw e7o cvzw passes through the equilibrium position, its wvo wv8 .u1xcj9eaf0z mn7-v. instantaneous velocity

  A mass on a spring undergoes SHM. W;2sufcfh gk:.scp 8sfr1s i/3hen the mass is at maximum displacement from equi /s8. f:c; h32u1gif frpcsksslibrium, its instantaneous acceleration

  A mass is attached to a vertical spring and bobs up and down between poi9ycxv4n nt x+1nts A and B. Where is the mass located when its kc9xvx yn+4 1tninetic energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down between ax(d0wqtx/ 9c points A and B. Where is the mass located when its kinetic enera xdw09/c xq(tgy is a maximum?

  A mass is attached to a vertical spring and bobs up andvm 2pif:(1f(:oev p (ybnykz 5 down between points A and B. Where is the mass lok:(vzp ymi:f( 15v fe p2nboy(cated when its potential energy is a minimum?

  A mass is attached to a vertical spring and bobs e882j:cd8 dvewvor8n up and down between points A and B. Where is the mass located when its potential energy is a maximum?c:88j2evd8de v 8rwon

  Doubling only the amplitude of a vibrating maw5;ryk s5kz6 ass-and-spring system produces what effect on the 55 rkzk6a;sy wsystem's mechanical energy?

  Doubling only the mass of a vibrating mass-and-spring system produces what effe pi6)fdy8 xx1ygd ar-6ct o r)6-a86dfgp1yi x dxyn the system's mechanical energy?

  Doubling only the spring constant of a vibrating mass-and-spring k - l9gyfd2/xuoy gt6.ge3l 4msystem produces what effect on the sy. xl2y u3fe/dy -96kg tmlgg4ostem's mechanical energy?

  A mass oscillates on the end of a vm62 )il(mn vnspring, both on Earth and on the Moon. Where is the per l2vmv6(in )mniod the greatest?

  Increasing the spring constant k of a mass-and-spring system ca )(f3,ubs uxvrh7ti( ruses what kind of change in the reson7rxr(vh isu(3u,)tfbant frequency of the system? (Assume no change in the system's mass m.)

  Increasing the mass Mdgr6 9h:gxo,d of a mass-and-spring system causes what kind of change in the resoh 96:x dgrogd,nant frequency of the system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a majsv0v k kw3/upv98.l(/wyvor ss-and-spring system causes what kind of change in the resonant frequency of the syjy(wpwrl./ v9svvuok v8k/ 03stem? (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 attah;q)s q hqf-y-v1fad ,ched to a weightless string of length L. ;)vs qyhff,adhq1 -q- For this system, when undergoing small oscillations

  When the mass of a simple pendc2wz.jc:8 f-9cc ejl,fn v(cculum is tripled, the time required for one complete2cf vcj- ( zecf.,wc:ncl8cj9 vibration

  Both pendulum A and B are 3.0 ml3t;5xjyab)lup)-uz long. The period of A is T. Pendulum A is twice as heavy as xpz)5 t a-j3u l)lu;bypendulum B. What is the period of B?

  When the length of a simple pendulum is triplg v4me7x fc- 9 ch*/+fyarllmdf 93vw3ed, the time for one complete vibration i h cxg lc9 fl*9y-a fm/v7+433efdvrmwncreases by a factor of

  What happens to a simple pendulum's frequency if both its length and mass/ nozfe/y 3vr( are increyvz ne(//or3f ased?

  Simple pendulum A swings back anvg /:5fmehsspryz9br)/ dn,9d forth at twice the frequency of simple pendulum B. Which g/ v:99fs ms)r,r /b5edhznpystatement is correct?

  If you take a given pendulum to the Moon,k.+uqqg6kn lt *;y ;ba where the acceleration of gravity is leq+u;.t 6kakgy b;*qn lss than on Earth, the resonant frequency of the pendulum will

  Curve A in Fig. 11-1 /1d fe3qn6 x pb( q63*mpqkhztrepresents

  Curve B in Fig. 11-1 representesq e)nuk6) sx: b-0hj3. b7c7hbcox ns

  Curve C in Fig. 11-1*i a*a krv/)b0gne8gd represents

  For a forced vibration, the ampliti n 6+30ltq,nlav ld6 qycp9,gude of vibration is found to depend on the

  In a wave, the maximum displacement of points ormi b70 v1uw lddx.f l)*p 2+j2;nvbcef the wave from equilibrium is called the wa*cp)b 2. 1n7vlfdbwmx;dvel2j0 iru +ve's

  The distance between successive crests on a wave is ca;nck euir /yt,dkg 7)aph3m+8lled the wave's

  The number of crests of a wave passing a point per unit time ibyjy06e :voaf 4- y46;kjz3/id(qkk,fcghkqs called the wave'sk f0qyqj6a: fj-( ;kik,ybdyzc4/kh6g e34 vo

  For a wave, the frequency times the wa2(h pwt(ho.1g g6hrg yl*3ngavelength is the wave's

  The frequency of a wave increases. What happeqz,cb h16b2+(k7z g om dc*/lfmn8bi ans to the distance between successive crests if the speeldiom*a,kf cz61qh/b+7cb mngz 82( bd remains constant?

  A wave moves on a string with wavelength l and frequency f. A second wave onk4fo8 39zz;d+xqqtur the same string has wavelength 2l and travels with the same velocity. What is the frequen89ufzd+zkoq3 ;4xr t qcy of the second wave?

  Consider a traveling wave ee8bn m)+1ph(wt+ h/d c+qwy ron a string of length L, mass M, and tension T. A standing wave is set up. Which of the following ish +b+myh()ewp8cwn /1d+ qrt e true?

  A string of mass m and length L is under tension T. uhe:7w ec(kd (mr c/d. The speed of 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, with no changed kd(/.e crc(h7:wmue in length?

  A string of mass m and length L is qakm7g ) ,ph fewc34ux1xo ;l.under tension T. The speed of a wave in the string is v. What will be the speed of a wave in the stpok;mc l q41h.a7ug3)e x xfw,ring 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 w;3uv.+jfcz t in the string is v. Whatfj3;uc+. wtzv 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 a ehwh7luo (j0lmyp3zn24pn3 1 n S wave travels through the Earth, the relative motion between the S wave and the par3uowhnl2zpeh3njp mly 471 0 (ticles is

  In seismology, the P wave is a longitudinal wave. As a P wave trgg v(km(mw nqphe+,57(xwa +o avels through the Earth, the relative m 7,(p n 5wqe+wa(gxgohk(v+mmotion between the P wave and the particles is

  The intensity of a wave ioi/vr.obvzu / -mbud-5 zjt /4s

  A wave pulse traveling to the right along a thinxs*6ifx4by442pi da m cord reaches a discontinuity where the rope becomes thicker and heavier. What is the orientaix6yfsxpb a 4d244mi *tion of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass:ui jw/6 /n x(azey)ze each other on a string, one is traveling toward the right an(a ji)6/:zyx/ uzew ned 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 other on a string. .rx+t7( s 0a3 hulv +gi/zalh7v-jckh7 k-uqiThe one traveling toward the right has a positive amplitude, while the one traveling toward the left has an equal amplitude in the negative directionual3ik+v x0-h ug+qsha7ji r-z(l hct 7/v.7k. 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, occdhjm 1ir3+o4cyhyj 12 urs when

  If one doubles the tension in a violin string, the fqf kig2(woue j/1)q)c undamental frequency of that string wg qc2)u)e oijf(/qk1w ill increase by a factor of

  What is the spring constant of a spring that stretches 2.00jbd;9cw.ydj))a f7tm cm when a mass of 0.6)j .;mfdwa td 9)yjbc700 kg is suspended from it?

  A mass is attached to a sprinw4 gv p- lt(1rm7qhrf(g 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 mass and let go. It takes the mass 0.50 s to go back to its equilibrium position when it is oscillating.frw(1q(4p7m vrlthg- What is the amplitude?

  A mass is attached to a spring of spril*ztu23l p(*kb( h, ek dtcs,ing constant 60 N/m along a horizontal, frictionless surface. The spring is initially stretched by a force of(ctp(kbl, zdl u k2h*,i 3tes* 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, fri u(qtpezva2n r)o/,)yctionless 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 e)pronazv 2(/) qy,tuback to its equilibrium position when it is oscillating. What is the frequency of oscillation?

  A mass on a spring undergoes ;uxiy nzrn)s6uz6 ixf++a, 4 bSHM. It goes through 10 complete oscillations in 5.0 s. What is the period+,zuzin a r6f xyun6+i s4bx);?

  A mass vibrates back and forth from the free1tzfvhp0jo l78.3ri 5j yq9r m end of an ideal spring of spring constant 20 N/m with an amplitude of 0.30 m. What is the kinetic energy ymvzojtpqh9 8ir7j 03fl 1.5rof this vibrating mass when it is 0.30 m from its equilibrium position?

  A 0.50-kg mass is attached to a spring of sd vtn1;er/tb *00ar/7t wjxisjt i -*:vfmzf*pring 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 pos7/*1 0 vef ;wbi*/xntiftrj0v:jdstr-t*zmaition. What is the total energy of the system?

  A mass undergoes SHM with amplitude of 4 cm. The energy is 8.0 J at this tim/ari lfl u.+ry4eu9/e e. The mass is cut in half, and the system is again rlai+rleu .ufy/94 /eset 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 horizonaav 8cu7ip8+ utal, 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 amplitude of vibration?apa 78v8iuuc+

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m along a hr4hga,1f4tqvkcal / 7 orizontal, 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 the kinetic 7q/ltf, 14a4vgkh rac energy and the potential energy the same?

  A 2.0-kg mass is attached to the end of a horizontal spring *qmk d; *ui9dic sf+.rof 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 thisfkic+ i9q* urdds* .m; system?

  A 2.0-kg mass is attached to the end of a horizontal spring of spq0 ti-yuvi -l1ring constant 50 N/m and set into simple har ii0t1-lu y-vqmonic 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 frea:t ag c3mn *-4yiq dhm8uipjl+79uw 7e end of an ideal spring of spring constant 2gn ya*89 m chdj7-l3wpu+ i7 4uqtima:0.0 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 equilibriujt3p2h vhvo(:e dz -q7m position and released2 vve7hoz(-h :djt3pq. A frequency of 4.0 Hz is observed. What frequency 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 a-j yp eh, qiinht(v8+;rk s/)spring constant 10 N/m. The object is displaced by arjy(iv )pk 8h;-se,qi+th/ n
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 sw.r( kw6 5qcq.2 luzkrpring constant 10 N/m. The object ir zwl.k.5wrq62u(qk cs displaced 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 anyld+ 5mh,we3w;f o(j kl5s3a spring of spring constant 18 N/m, displaced slightly from its equilibrium position, and released. What is the frequency of its vibrateo3m+5 lf; ,nw kdah3l5(jwy sion?

  A mass is attached to a spriskabvdlq,r5-d2khb.6 )vna* ng. It oscillates at a frequency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What is the maximum velocit 6bs-kn vd2brq,*k.5a dhalv)y attained by the mass?

  Two masses, A and B, are attach j-; /7jcrw pjgfladn(j3ltj/l2;5 bl ed to different 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 gl;j-t cjf2d abjn(wl;37ljpr/ jl/5 the maximum speed of A compare to the maximum speed of B?

  A 0.30-kg mass is suspended on a spring. In equilg4; gx jee26k;;v8quv ml0mw qlm7.pfibrium the mass stretches the spring 2.0 cm downward. The 0wq4 7mlg vj mm6kpx2gvl ;eeu;q .f;8mass 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 suspende6uuudk4 gua q80kvot*8oq9:sg ,v nxl6uk+5sd on a spring. In equilibrium 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 total energy ofv0u6x6og4 5k un*u+ ksqqt8lu, us9:god8kav the system.

  A 0.30-kg mass is suspended o, otph:;8l* riej5 a .,p/lp4ursshs vn a spring. In equilibrium the mass stretches the spring 2.0 cm downward. The mas.s:r hlr45e p sujpv /;,il*p 8st,haos 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 harmonifx hc/+2yxyx 0mc0( sirggn, 5c motion obeys the following position versus time equ(/y0hmsy02gf5cnx xir,g xc+ ation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic moti1c nkgeav* 6ne:e y)6epmj9 e(on obeys the following position versus time equati *eg p(ev1m66ne jen9 aye):ckon:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motiotm tk1r8n1 ;jjn obeys the following position versus time equation:jr8t kjn1 m1t;
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a si/vr.7jgkgc ;pring executes simple harmonic motion according to thrik. cjv;/g7ge 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/4fy6mm2hr4uk3.zwrd(.2 kz xs ju6rtm oscillates on a horim u6r4dk rf xr6zk tj.42hy(s.2zmu3 wzontal, frictionless 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. (a) What are its frequency ani0l ,7,6 ha7ub a.)zudnd ualp ;l:jjad period on Earthazju)auu,;hln p0.d7al ilba :7j 6,d ?

  A 3.00-kg pendulum is 28.84 m long. Wcs/lo5i w 36bol/0qbnuo- lo +hat is its period on Earth?

  A pendulum has a period of 2.0/b7h0:) bypg0bsl ger s on Earth. What is its length?

  The pendulum of a grandfafjy/6e;t6* ss ( yntkether clock is 1.0 m long. What is its period on the Eart6sey/fjt k6t ns(ye*; h?

  The pendulum of a grandfather clock is 1.0 m long. What is its period 4gi :w-g ks-sp;4 qpuvon the Moon where the acceleration due t 4s:- gs-4gpuwq vp;iko gravity is only $1.7 \; m/s^2$?

  A simple pendulum consiur/wb.33*qrd;oe ah*0yi jbasts 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 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 attacjuq 03i h/wbr*.a;o ye3 brd*ahed to the string instead?

A simple pendulum consisting of a 20-g mass has initial anhj.42s3npgc*b3jf+p9 pxr 9of yvxgj+(kg ;ngular displacement of 8.0e. It oscillates with a;*sgo 2pc39 j9x fj.xyh+b pnjgg 4pk+v 3rfn( 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 wavwv/dbw3u5g m .e at a given time. The frequency of the wavw dvw3.mgu b5/e is 120 Hz. What is the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency of umgk ozxkpwd+;77m) cr pe1*6the wave is 120 Hz.ep76+) xrz;m kdkmg7*wucp o1 What is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frefl wxpum0 ve(/)/ r g:20mbkqb t0g,eoquency of the wave iev(mt0 /qm2xp e blu )bw 0kgo,:r0gf/s 120 Hz. What is the wave speed?

  What is the frequency of a wave which has a perixa e5 *z nfi1*ac;sadwb)4;a hod of 6.00 ms?

  What is the period of a wave with a he;v;o m7rp m7frequency of 1500 Hz?

  What is the wave speed ir)* mkf7p3elm y+x2dsieg b4ou1 ;e )5 oxzll:f a wave has a frequency of 12 Hz and a wavelength of 3.u)dbzl7 2)l msek* +eei1p;xoy4 f x:5l3 rgom0 m?

  What is the velocity of a wave wurl; (mhgy;u;k( cz.that has a wavelength of 3.0 m and a frequency ofhgr.k(uwy uz(mc;; ; l 12 Hz?

  What is the frequency of a 2.5 muex5 fid8ia +e)): yrx5r:rd y wave traveling at 1400 m/s?

  A piano string of linear mass density mdl(0ypscy 5d t/t+s0v+/qo f 0.0050 kg/m is under a tension of 1350 N. What is the waqt0s+ody 0ypf/ts d (5+v /mlcve speed?

  A string of linear density 6.. nzq(ir7r kk50 g/m is under a tension of 180 N. What is the velocity of propagation znk7( 5k q.rirof transverse waves along the string?

A wave whose wavelength is0eqsap/v4r 1z jgu/q- 0.500 m is traveling down a 500 m long wire whose totapar/jq10e gs4qvuz /- l 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 kmha.0:aw7 ak a transverse wave on a 2.0-m long string fixed at both ends is 200 m/s. Which one of the following is not a resonant frequency of thiswm:0aahk.7 k a string?

  If a guitar string has a fundamental frequency of 500 Hz, whiczzi j27m2b8j10g5yndj2 1pb5 jgamvy h one of the following frequencies can set the string into resoni 2b2zdjyjm258bj5gjnav 0p1y7 m1gzant vibration?

  A stretched string is observed to have four equal segments in a standing wavezfitn6n* 55mug*m*h w drivgm5if* 5htu*w6*z mnnen at a frequency of 480 Hz. What driving frequency will set up a standing wave with five equal segments?

  A string, fixed at both ends, vibrates ag mkn-7j +;sq h-hwb1+ wgrz3ct a frequency of 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency is needed if thhqmjb+r ;s-gz3w+g w-7ck1h ne standing wave pattern is to contain 4 loops?

  A string of linear density 1.5 g/m is under a tension ofze0r ca *se.w6 20 N. What should its length be if its fu ecza*w 0.re6sndamental resonance frequency is 220 Hz?

  Find the first three harmonics of a scrq2-k5en9ht xfv,; ztring of linear mass density 2.00 g/m and length 0.600 m when it is subjected to tension of 59t;5 rq 2x -fzv,ckehn0.0 N.

A string of length 2.5 m is fixed naxe d-5 j/ puwe)zw5e,nj .:dat both ends. When the string vibrates at a frequency of 85 Hz, ajw , e5jdzaedn:5-.wenx/)u p 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.