The time for one cycle of a p 6x8g wlyge,8periodic process is called the

  For a periodic process, xlt2oj398mrz9z6,7y w ujqvn the number of cycles per unit time is called the

  For vibrational motio +1 :qb (bcuvu56im3iip*afoxn, the maximum displacement from the equilibrium point is calle* ci 3(muuxa+b15pvqib:of6id the

  A mass on a spring undergoes SHM. When the mass is at its maximh 1uuju6s +pr9eew9/p um displacement from equilibrium, its instantaneous velocitywr9 eu6j uhppe +/19us

  A mass on a spring undergoes SHM. When the mass passes througdkf 9)/ rb-jgeh the equilibrium position, its instantaneous velorbdk9f-)ej g/city

  A mass on a spring undergoes SHM. When the mass is at maximuw4ocuk+j ra) 5mx.fxap9m ;9am displacement from equilibrium, its instantaneous acceleratio4+5mrxwxmao. p aa9; u) 9ckfjn

  A mass is attached to a vertical spring and bobs up and down between pon)u,r5 ):htezie 8i 0so;o v9ik. lihqints A and B. Where is the mass locate9hqi;v ilkrho8., t:oe)i i50nz u)esd when its kinetic energy is a minimum?

  A mass is attached to a vertical spx ay38r/ dz )zdeqw 17krh(0vsring and bobs up and down between points A and B. Where is the mass located w1s7 r/)r0dyxdz v3wkh8q( zaehen its kinetic energy is a maximum?

  A mass is attached to a vertical sprinkicp g+*,y(.rqyn gq, dn zj2kwz(-g9g and bobs up and down between points A and B. Where is the mass locatn *,q((jkz,gi2n ykgg.zwr-9 p d+cqy ed when its potential energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down between po z118 up0+jup/ whj8lcsl i+,rspla ng6 +am1oints A and B. Where is the mass located when its potential energy is a ma+l1al,aj 8g6+hmu w l/1 jzp1psrs+co0nup8i ximum?

  Doubling only the amplitude of a vibrating mass-and-spring system 1gg,44j acerm:uio iaj g7a )0produces what ef4j ri:aa)uaeg j710og,mig4 c fect on the system's mechanical energy?

  Doubling only the mass of a vibtgx*o/ s2wotdm/dq ;i68( q krrating mass-and-spring system produces what effec(2q/oqtm kddwt *;i 86sgrx/o t on the system's mechanical energy?

  Doubling only the spring constant of a vibrating mass-and-spring spt03y,p( ao butm6b7e ystem produces what e 7,u pa3 y(bo0pet6bmtffect on the system's mechanical energy?

  A mass oscillates on the end of +nvd4ayt: b cv03plt: a spring, both on Earth and on the Moon. Where 0vtv3 c+tb d :4:yalnpis the period the greatest?

  Increasing the spring constant k of a mass-and-spring system causes what kingams/i irfax4lv 1 461d of change in the resonant frequency of the system? (Assume no change in the system's mass m i4m1gsvr6af4xil/a1 .)

  Increasing the mass M of a mass-and-spring s44bfxk 6+ jdy8gxa )e+k gjpw)ystem causes what kind of change in the resonant frequency of the system? (Assume no change in tbjjxdf)y)w g+p46k84e +xkaghe system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system . zt2 g.4 jq*hw:(sg5v dpnhsx; k*dpgpf8jn4causes what kind of change in the rpj(k .jg*n.5px*:sgft; h4d8n wg pvhs 4d2 qzesonant frequency 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 oxi2o b+7d zzzzxou0h)b+g5 . weightless string of length L. For this system, whenbzz5+zgod+2 o ux)x. hob7 iz0 undergoing small oscillations

  When the mass of a simple pendulum is tripled, x l6m(uj/ vke+the time required for one complete vibrati mxue/lj+(vk6 on

  Both pendulum A and B are 3.0 m long. The period of A is T. Pendulum A is twib hbo64;o,q y8x njv-n9nu6fjce as heavy asuxnq9bojh4; 6,n 8yfnv- jo6b pendulum B. What is the period of B?

  When the length of a simple pendulum3dt*mge:8 o ur- vv+ou is tripled, the time for one complete vibration inc:d* vu m-+r vgou38toereases by a factor of

  What happens to a simple pendulum's frequency if both its leng;kgo:k /4lng55vj;e5exc z d lth and mass are increag:ocznj55 e;l k5vl;ek g/x4d sed?

  Simple pendulum A swings back and forth at twice the frequency of si bhczl)f8v+a :mple pendulum B. Which statev+)8lazfh c b:ment is correct?

  If you take a given pendulum to the Moon, where the acc,q64)v:qskg;g mdnrfmn;p -beleration of gravity is less than on Earth, the resonant frequ-mq4;rsg,;bnqmf6)p k g nd v:ency of the pendulum will

  Curve A in Fig. 11-1 represeq )*9r avsq*vw9az9j bnts

  Curve B in Fig. 11-1 rep*b cmsorij,6u 2 4ooo5resents

  Curve C in Fig. 11-1 repr0kyndy koqh*m) ,8r77l4xrxiesents

  For a forced vibration, the amplitude of vibration is found to depend on m0c0b)bef m:d the

  In a wave, the maximum displacement of points of the wave from equilibrium is yaf ;1bfa :37wug +rtpcalled w 7+u3:r1f;bf agaytpthe wave's

  The distance between successive crests on a i4k xx1hhas; -dz31mgvf+( xwwave is called the wave's

  The number of crests of a wave passing a point per unit time is 3jo *fg(e7 r3h pop4nfcalled the wave'snoppfr47(3*j 3 ogfeh

  For a wave, the frequency tilg2ix8o/ha u7 0e5,jsdj 9y0dvsnzp:mes the wavelength is the wave's

  The frequency of a wave increases. What xsm(10bu r5( .a9vu5aydgcyf happens to the distance between successive c 9(bvyaxmsudug15c.0( r y5afrests if the speed remains constant?

  A wave moves on a string with wavelexm uh p,4xs2zyk( /0xz60yqgingth l and frequency f. A second wave on the same string yxyh x2 ( gkmsq4pix0,z6u z0/has wavelength 2l and travels with the same velocity. What is the frequency of the second wave?

  Consider a traveling wave on a string of length L,zwh;go7 f8x+8 x.iepy mass M, and tension T. A standing wave is xxhewf8og+; zy i78p. set up. Which of the following is true?

  A string of mass m and lenuz)*i4 or nn,do0 )qomgth L 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 mass of the str*qn, oi d0omnro)u)z4 ing 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 wave in hgde6smju. 1jr (vhg8 7uw,oe.d ,i3othe string ijv 7s m,8uwe1,r gho h6 3..(eugdjiods v. What 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 aws0gu5t 3 qg3xjax9( 6v lbe;cnd length L 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 if0bwg( ;3at5x9ceqg xv36s luj the tension is increased to 2T?

  In seismology, the S wave is a transverse wave. As an S wave -emqwxhp e). r ;l08,4anhw(9unpp gu travels through the Earth, thh9n 8)uhw;g0pre.a(p uwxen -ql p m4,e relative motion between the S wave and the particles is

  In seismology, the P wave is a longitudinal wave. As a cvz vnwt0 sj9g(43 m7zlo.6ta P wave travels through the o6jv9v4ml0 tw 7(s. z3gtcn zaEarth, the relative motion between the P wave and the particles is

  The intensity of a wl,3jjscz +jk. 4sbxp;ave is

  A wave pulse traveling t+ykk;r me;2 ynxnv)a)ov) 9 oso the right along a thin cord reaches a discontinuity where the rope becomes thicker and heavier. What is the orientation of the reflectoxy2 n) yvnrv+k;k 9e mao)s);ed and transmitted pulses?

  Two wave pulses with equal positive9dp:-e6z8kl 0n d4vx rrl;*ca cggt:t amplitudes pass each other on a string, one is traveling toward the right and the other toward the left. At the point that they occupy th6n kr9d-zrt8c0clg*: da pvl;:eg t4xe same region of space at the same time

  Two wave pulses pass each other on a string. The one traveling toward * vdnzh.4( eqcm17fqv 0ak5rx34 r cqnthe right has a positive amplitude, while the one traveling toward the left hcrq1k 4d 4.r xzhfnven3a*q7mvq( 0c5as 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 fi*i.4 u)a aosy;pc;u k(pi7hw n mkf7r5xed at both ends, occurs when

  If one doubles the tension in a vujdci4tw.-t-ub( a p2iolin string, the fundamental frequency of that string will increase by a factitj(ud p2w -4.bactu-or of

  What is the spring constant of a spring that lovl q/)y.vc9,q nm+w stretches 2.00 cm when a mass of 0.600 kg is w,cvv+q/nqom.l )y 9lsuspended from it?

  A mass is attached to a spring of spring constant 60 N/x9josfus09aj rpc9 . 5f4n)f im 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 isj cnrafj0) ssf4p9u o9 .f5ix9 oscillating. What is the amplitude?

  A mass is attached to a8.btu*zesbg ku;h/ u:s /v.b vif6(cv 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 mass and let go. It takes the mass 0.50 s to go back to its equilibrium position when it is oscillating. Whatu(uvt 8c /6sbhf*e: /s.vi g.bu kz;bv is the period of oscillation?

  A mass is attached tyr l;;oglzkqp2( :aj,o 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 mass and let go. It takes the mass 0.50 s to go back to its equilibrium position when it ipaz(2 l,q r: ;;kygljos oscillating. What is the frequency of oscillation?

  A mass on a spring undergoes SHM. It goes through 10 complete osi2v: ni (/fatocillations in 5.0 s. What is the p/ ifoan2(i: tveriod?

  A mass vibrates backi ;6juxm1 .kl1;7zfe4uha qrc and forth from the free end of an ideal spring of spring constant 20 N/m with an amplitude of 0.30 m. What is the kinetic energy of this vibrating mass when it is 0.30 m from its equilibriu1eum r.cfh xqj7a1 uliz6 ;k4;m position?

  A 0.50-kg mass is attached to a spring of spring constao-(ln,a du8/z0n)7 r thknkpcnt 20 N/m along a horizontal, frhozr 7atlp0)-nd nkck u(8 /n,ictionless 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 system?

  A mass undergoes SHM witff*gi h*7zq0m)/z+ *tmj hy/9kcphz sh amplitude of 4 cm. The energy is 8.0 J at this time. The mass is cut in half, and the system is again t f mzhjfzs*+/9ghp*0y *k)qizm7hc/ 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 constand(px:fb l 9pt;t 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmo:9pxb t;fpl( dnic 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 sj q +u) gy8v+n g,m6*ev8863ygow-ekziblcj wpring 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 loc oije8l*ygqb v8+g)w6znc3+v j,g ukmw 6e-8 yation are the kinetic energy and the potential energy the same?

  A 2.0-kg mass is attached to the end of a horizontal sprvw8vl kv(3y rhkic3n2 l6):vming of spring constant 50 N/m and set into simple harmonic motion with an amplitude o3ykkc6(l 3l vh nv)2r8vvwm :if 0.10 m. What is the total mechanical energy of this system?

  A 2.0-kg mass is attached t4ja09l4gtao edv b j/3o the end of a horizontal spring of spring constant 50 N/m and set ineo49/l g3ta jaj 0vd4bto 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 free end of an ideal sprinrcuo-n lm/3- bg of spring constant 20.0 N/mrbu -3/o- mncl 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 ik -,di :vgm+1,glu a93t acmvls displaced 10 cm from its equilibrium position and released. A fg:,, gka l di9vtvmlca 1+u3m-requency 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 spring constant 10 N/m. The objec; e6dx-vvqi hgr jk2bb75+h s32ago c9t is 22 x5;7g 9hqvh3 sg ijbb-dv+caoek 6rdisplaced 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 constan9+gh 8jfunzo d:/z.rpt 10 N/m. The object is d u8j:odgrzh.9 n+fzp /isplaced 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 spring constant 18 N/;mq 0v0nl a smnl(;ir0m, displaced slightly from q0 inn (vm0rmlsa; ;l0its equilibrium position, and released. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequency ofua(jq7fou;5 c3kvmo8 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What is the maximum velocity attaa 7ok;cj fou8m(5vq3 uined by the mass?

  Two masses, A and B, are attached to diffdsfn(* jf+x a,9ii n3derent springs. Mass A vibrates with amplitu+ij,xfd ndan3f9*is (de 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 speed of B?

  A 0.30-kg mass is suspended on a spring. In equilibringcf8 v3y)-p mum 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. m83fnyp -gc )vCalculate the period of oscillation.

  A 0.30-kg mass is suspendeds(jd+ h)0/kt d 5c5d4 p.ziyqsul4fhg 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 +stuyqi45dhf/s p)jkh.(gd 4c5ldz 0released from rest. Calculate the total energy of the system.

  A 0.30-kg mass is suspended on a spring. In equilibrf-bp8 5z( rxpsium the mass stretches the spring 2.0 cm downwarp psf z5r(8-bxd. The mass 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 position versus kcb7-t1+kn u8bd *ln p -qvwyync,2a4time equat 4ql,27*pn8w1bcu+b- knt v ky-ydcnaion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following position versus time equ.rysmy r(a .o3/ rz48(kzqoe qatqos/k3zr.(rm e4o azyry8.( q ion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following position versus time eqz5 urkv fg0qn* nd,b.(wcz3k:uation: nq0f,v:zu r.k(3w* 5dzgc knb
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple harwt dr9d6v,(4sv o0tocvcju/i ( gz0,i-nbpc 1monic motion according to the eq- 4u s6d,v v0cr 0,wt1jognb9( dtic/(ocivpzuation $y = 0.50 \; \sin (18\pi \times t)$ 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 oscilfsgelbx24mat: - )z ,rlates on a horrg,l 4 x2maets-bzf): izontal, 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) What4kh yg a 59kf 6c.uzca((mf+lt5xv1za are its frequency and peri cl1tua 55 gk4f+amfa(yx.(9k hczz6vod on Earth?

  A 3.00-kg pendulum is 28.84 m long. 2cx3u4 slg j0uWhat is its period on Earth?

  A pendulum has a period of 2.0 s on Earth. Whv sdkxs/ *l :mm3j(ngeqd09i, at is its length?

  The pendulum of a grandfather clock is 1.0 m long. What is its0o mexk;k ho8( period on the Ea ooh m8e0k(x;krth?

  The pendulum of a grandfatqgvfny g)o -xz02,6rqher clock is 1.0 m long. What is its period on the Moon where the acceleration due to gravit,gxfqr ny0)qzv o- g26y is only $1.7 \; m/s^2$?

  A simple pendulum conib v q8hs*an41sists 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 finh*s1a4qbv8 orth 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 cons-ebfa ac 9 /zbzw5.weh56( lrdisting of a 20-g mass has initial angular displacement of 8.0e. It oscillb.wa69 le5-bf 5z d cwre(azh/ates 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 wave ejkdhb-+hy.u6o4f; i at a given time. The frequency of the wave is 120 Hdfe6oki+ ;-b4h uj.h yz. What is the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency of the wj f96t.pdlrne .*cc +qave is 120 Hz. W6 t..r9+c *ejqfndlpchat is the wavelength?

  Figure 11-2 is a "snapsh 0g(p.mkgwf/d7*qs ik ot" of a wave at a given time. The frequency of the wave is 120 Hz. What is the wa.pf7mgkw/* kds (0iqgve speed?

  What is the frequency of a-0xrc 1v +e9l kid(ono wave which has a period of 6.00 ms?

  What is the period of a wave with a freqzy rkq)6bogtl(0 yd,.uency of 1500 Hz?

  What is the wave spe nnq 8r453l b.c/tphy9ytb/oned if a wave has a frequency of 12 Hz and a wavelength of 3.0 nq/oyn8b/prc bny 3.4 tth95lm?

  What is the velocity of a wave that has a wavelength of 3.0 m and a frequivy of) 2mc)7bency of 12f))7i y2v ombc Hz?

  What is the frequency of a 2.5 m wave travv 2z h (onci+o-y4e tmn7qz9f/eling at 1400 m/s?

  A piano string of linear mass density 0.0 c5m7w+gwga -vo)bzj )050 kg/m is under a tension of 1350 N. What is gb-v mo 7wc))jga +w5zthe wave speed?

  A string of linear density 6.0 g/m is under a tension of *v-8/t bi kls5hky+tzz,kf;k 180 N. What is the velocity of propagation of transverse waves +l,*/b;kkhz v 5yzt- kistkf8along the string?

A wave whose wavelength i6tj1:.v ptw xfqw g21ns 0.500 m is traveling down a 500 m long wire whose total mavjp f2 :w1 t.wx1tnq6gss 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 striy5cvsw+b0;7h. rw taxk8w9(uq hd 0krng fixed at both ends is 200 m/s. vb+ ha7 8h ksxw(tr05c 9dw;q w0kury.Which one of the following is not a resonant frequency of this string?

  If a guitar string has a fundhn:tl/jv owsz*b,1 -d amental frequency of 500 Hz, which one of the following frequencies can set the stri-nvbtzlo */,w:j 1hd sng into resonant vibration?

  A stretched string is observed to have four equal segments in a standing qv ks ,pfq02y0wave driven at a frequency of 480 Hz. What driving frequency will set up avk20 ,qf p0sqy standing wave with five equal segments?

  A string, fixed at both ends, vibratesqt0 c6t hbh:l- at a frequency of 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency is needed if theqc0tl 6 h-:hbt standing wave pattern is to contain 4 loops?

  A string of linear density 1.5 g/m m;,6 jc* wy siy/jlu7uis under a tension of 20 N. What should its length be if its fundamencwy ,7; sum*/j 6juilytal resonance frequency is 220 Hz?

  Find the first three harmon9fi*ft.a y p k.+bydg8s-4 frxics of a string of linear mass density 2.00 g/m and length 0.600 m when it is subjected to te p-fft.*y s9.yifxk4+r dgb a8nsion of 50.0 N.

A string of length 2.-u/vhtla);m.td0k z3ehfy.mq20e 4q: ib cj o5 m is fixed at both ends. When the string vibrates at a frequency of 85 Hz, a stany ek3;).tez.q2v:oflh jq 0 uciadhtm4/m0-bding 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.