The time for one cycle of a periodic process is cafj 998riyrz1d lled the

  For a periodic process, the number of cycles per unit time is ox6mx*hseb4*zgsow -k b 467wcalled the

  For vibrational motion, the mb;ogkb go.w.b :3eek)aximum displacement from the equilibrium point is caoe3;wg. :ogb ek)bbk. lled the

  A mass on a spring undergoes SHM. When t(2i l7s yne9ifajyx( *he mass is at its maximum displacement from equilibrium, iysi9je y (nafi(2 x7*lts instantaneous velocity

  A mass on a spring undergoes SHM. When the mass passet1g;;h/ -ymyzh n*cp hs through the equilibrium position pg;znhmych-/ ;h 1*yt, its instantaneous velocity

  A mass on a spring unde7,g- p a1shpmsrgoes SHM. When the mass is at maximum displacement from equilibrium, its instanta1p-sgmhs 7 pa,neous acceleration

  A mass is attached to a vertical s2.;qyvj3tnw qpring and bobs up and down between points A and B. Where is the mass loc v.y2q;q tn3wjated when its kinetic energy is a minimum?

  A mass is attached to a vertical sprivp jt;pu p gpg(a4*.(fng and bobs up and down between points A and B. Wg .jga(tup* ppf p;4(vhere is the mass located when its kinetic energy is a maximum?

  A mass is attached to a vertical sprd qvq8*+np a2 kr9i1wcing and bobs up and down between points A and B. Where is the mass located when its potential energy is a mi28ipn9vkd+q1rwc* qa nimum?

  A mass is attached to a vertical spring and bobs up and down b t.) unwmtrputl hg8vv8mcg9v9ldf1.-5; 9csetween points A and B. Where is the mass located when its potential energy is a maximumtcwguvs9m5n ) 8tmp.t-g8; 1 9vl rd. hfucvl9?

  Doubling only the amplitude of a vibrating mass-and-spring systemr+o*bi/ k0k jw produces what effect o*kib + jo/rkw0n the system's mechanical energy?

  Doubling only the mass of a vibrating mass-and-spring system produces whax+ nmb 2:f8(x o7n fdhsus:k1 xv8tt,xt effect on the system'ss7f:1uts nn8xb,dt:x 82+ kv fomhxx( mechanical energy?

  Doubling only the spring constanz)tke:16cgi g*lc*bn7 a0lho t of a vibrating mass-and-spring system produces what effeckal16cbe0)h g t7 io*l:n gz*ct on the system's mechanical energy?

  A mass oscillates on the end of a spring, bqc:hh+b+ ych9 oth on Earth and on the Moon. Where is the pecqhby+h9+ :hc riod the greatest?

  Increasing the spring constant k//of ezcrp+phk(4 o8o of a mass-and-spring system causes what kind of change in thp po+48cofrekh/z/ o(e resonant frequency of the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system causes what /2po3r;i 4 lmfi s2gyqkind of change in the resonant frequency o2g4lrs iiq/yp3 ;2mf of the system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system c1 nmggg m2+fo2auses what kind of change in the resonantg22ng1om gm+f 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 weightless string of leng55wss.j 0;5zit 1;vo d c dihfgk:f1,e6mnlpvth L. For this system, whemk z ic 1vo 5dih5fv61ej5;f,0gps. l; tnswd:n undergoing small oscillations

  When the mass of a simple pendulum i.*rpwn xd jgis9-p8y,s tripled, the time required for one complete8.g np,wrxdi yj 9sp-* vibration

  Both pendulum A and B are 3309ojs imvxa 1.0 m long. The period of A is T. Pendulum A is twice as heavy as pendulum B. What is the o9j 0i1s3mv axperiod of B?

  When the length of a si5u1j y9gjt l:nmple pendulum is tripled, the time for one complete vibration increases bu j9:5l gyjt1ny a factor of

  What happens to a simple pendulum's frequency if bothwl 0hja*l +ka+bsu(p, its length and mass are incrlkl*+bj h,ap 0+sw ua(eased?

  Simple pendulum A swings bac * ks+w8yii+,s uve81*ge xtlfk and forth at twice the frequency of simple pendulum B. Which sse8t*uvegs+li 8wk1 *iyf+ x,tatement is correct?

  If you take a given pendulum to the Moon, where the acceleration of gravih z. e,i *j0-dithqyxbupe) ovel4( (2ty is less than on Earth, the resonant frequency of the pendulum wiehp lt4q0jvb-)( u i,e.ze ho *d2x(yill

  Curve A in Fig. 11-1 represenkcj w,ig5 dlo:lg o a v-o)x(.8f-nhz+ts

  Curve B in Fig. 11-1 b,o2 -vq7,wtg+0qrh. z5qxp x xwqd /hrepresents

  Curve C in Fig. 11-1 reprk.twbgr/ +dqn pe(z*)esents

  For a forced vibration, the amplitude of vibrationuyo3 p ;rifonw,7,l7lh7c(m7ai,ew a is found to depend on the

  In a wave, the maximum displacement of pointed9 rtnlq) s:v49y nl*o9sk m0s of the wave from equilibrium is called the wave')0 kresylo st49mnv:lq*99dns

  The distance between successive crests onk48 hugwc;1e*tv4sybc k +wvr/27)sgg)g xsg a wave is called the wave's

  The number of crests of a wave passing a point per unit s kql2,vle :8ltime is called the wave'l:es8l,2kv qls

  For a wave, the frequency times the wa (/dt egq7)--zaz umxmvelength is the wave's

  The frequency of a wave increases. haok in h(qe eaf 40z929y+,hnl1ofw(What happens to the distance between successive crests if the speed remains constant kaely i0(f(n h2z+ 4919fwo oah,ehnq?

  A wave moves on a string with g,w e*g uiejmvy6f2 no -2to;*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 g6w2o mi *gvtojf-*ue; ne2y, second wave?

  Consider a traveling wave on a stri 6, rcrs g)ujscwu*4m)ng of length L, mass M, and tension T. A standinm* succ),4wu)g6 s rrjg wave is 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 thpph, sk 4u3+lie string is v. What will be the speed of a w +3,4pspiuklhave 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 tension T+61sooyw*, u:gbehwj. The speed of a wave in the string is v. What will be the speed of a wave in the wy*wobs :oe+h6 ,jg1ustring 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 a7 nrj6qj+pp c1 wave in the string is v. What w cj+j7pqn rp16ill 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 through gmifp:(uz+bj.qsm/( the Earth, the relative motion between the S wave and z.mq:bp(g/ ju (fis+mthe particles is

  In seismology, the P whwb7ac 4oxnr34m,w:t ave is a longitudinal wave. As a P wave travels through the Earth, the relat4hb743x nco:rmww ,ative motion between the P wave and the particles is

  The intensity of a wave wtbz;9a avu 0lzi,.3h is

  A wave pulse traveling to the right along a thin cord reaches a discontinuitjdf nf(u9og9(/e ge-xy where the rope becomes thicker goe9nf(jgf(xe/ -9d uand heavier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each other on a string,8pwks5c 0t+p b one is traveling toward the right and the other toward the left. At the point that they occupy the same region owc8bk5s 0t pp+f space at the same time

  Two wave pulses pass each other on a sth-l iy9sm5t:xv+ h78pz, ddf vring. 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. Aypx9hd5i :l- zt, 8+dvhfmv7 st the point that they occupy the same region of space at the same time

  Resonance in a system, such as a string fixz( ;pb +vgw/ehed at both ends, occurs when

  If one doubles the tension in a violin string, the fundamental freyml7bk0-- met+eu+ 1z-2o*jkiht, pr ;biktz quency of that string w2kt rm;hmktepi- blz1-+t euoy+ 0zk,7b*j-i ill increase by a factor of

  What is the spring constant of a spring that stretches 2.00 cm when a mass o )9n8g *) akipjd )ipb*c2zce:ur(krxf 0.600 kg is suspended froib * c2kpn:9dc gkzxpi) ru e8*))(ajrm it?

  A mass is attached to a spring of spr /-)aa5evrummc . csset ak+k65q) ym:ing 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 iac.ms m))etvc kmq:+/a56 5eau -y ksrs oscillating. What is the amplitude?

  A mass is attached toj )ekrj e;vk.( a spring of spring constant 60 N/m along a horizontal, frictionless surface. The springe)jj.r;ek (v k 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 oscillation?

  A mass is attached to a spring of sp6rkx,p /u(tp y-hu sb)zrxz9, ring 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. What is the frpxz ,ryh-(x/6 z utps9ukrb),equency of oscillation?

  A mass on a spring undergoes SHM. It goes through 10 complete oscilla(c +rus 7c)j x13had-hzxgy4htions in 5.0 s.a j+h-4xhyg (rx3 7uzs1dcc)h What is the period?

  A mass vibrates back and forth from the free end o o td4z7(vmmr5ona; q4f an ideal spring of spring constant 20 N/m with an amplitude of 0.30 m. What is the kinetic energy a4zm;(oqm 5vnrt4o d7of this vibrating mass when it is 0.30 m from its equilibrium position?

  A 0.50-kg mass is attacq7adg tuff588rqbh, q 6c37e1 ,20dmmtpxaqa hed 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. W0aaq tdm7qq 3,8cfd 6u871p fh,atmqxg2br e5hat is the total energy of the system?

  A mass undergoes SHM d gz-3ri7 oz3kwith amplitude 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 t3ok37-zr dzg ihe system now?

  A 0.50-kg mass is attached to a spring of spring constky ioy//c+oh pemk) u ci.p):+0x3nagant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple u )+cnpyeak p+).:kh/ im/igoo0x yc3 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 springi rn rjgoo)3 xkw hr38y3 w-db:b1x2-s of spring constant 20 N/m along a horizontal, fr 3rij s o32wyn)g 3wrbkr1x-:d-8xohbictionless 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 energy and the potential energy the same?

  A 2.0-kg mass is attached to the end ofaf:ug*pz c z3;kok mgwmo4.u 0h 4p4a: a horizontal spring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the tot:* zw:mko3mczagh.a4; p up4 0goku4 fal mechanical energy of this system?

  A 2.0-kg mass is attached to the end of a horizontal spring ofqx8ms,dv xr :9 s-6hfnzqi5) 53ktvs m spring constant 50 N/m and set into simple harmonic motion withfr6sdq9mivst-,x xs5k8:z m5q )nv h3 an amplitude of 0.10 m. What is the total mechanical energy of this system?

  A mass vibrates back and forth from the free */ha pezi ys+2end of an ideal spring of spring constant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kinetic energy/z+aship ey2 * of this vibrating mass?

  The mass of a mass-and-spring system is displaced 10 cm fr2k -md3 j-p qrs osg4,uwpcf2;om its equilibrium position and released. A frequency of 4.0 Hz is observed. What frequency would be observed if the macs2mkpu-pw ;gjs23, 4df r -qoss had been displaced only 5.0 cm and then released?

  A 4.0-kg object is attached to a spring of spring constant 10 Nulv9r5f fa 4hbu+ox/0 /m. The object is displacedlufovr5x4 /ufh9b a 0+ by
5.1 cm from the equilibrium position and let go. What is the period of vibration?

  A 4.0-kg object is attachzx prb a7iki699 z-ep+o7 qrt2*ij( gted to a spring of spring constant 10 N/m. The object is diri2+t - ip7t7qbzrp6*z g(9jx9ai ekosplaced by
5.1 cm from the equilibrium position and let go. What is the frequency of vibration?

  A 2.0-kg mass is hung7w6p/u0g025fur .fnk trly kn from a spring of spring constant 18 N/m, displaced slightly from its equilibrium position, 0t ufg6urwyr/n7 ln.50kkpf 2and released. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequency o/ :kgawb1 bzc6f 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What is the maximum velocity w:b1 zk6cga b/attained by the mass?

  Two masses, A and B, are attache)iz pwkcn8jjc8 jzn+o ,e5z7)4 kdti6d 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. nn ,6wtj7o dcj8ce )4k+i8pzz) zj5kiHow does the maximum speed of A compare to the maximum speed of B?

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass strtcljnbz jbl*a-q8 1d1n1 a.n* etches 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 cq. n8zd11na jjntbl1*bl*-aperiod of oscillation.

  A 0.30-kg mass is suspended on a spring. In equilibriued1h*2c v6n9s1h-7w u xfs +a rzrhb2jm 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 thesxj 2wh+ve9 bc2 76*hnhsd11ru ra-fz total energy of the system.

  A 0.30-kg mass is suspyv d v 4nyr v7o0-7(mcb5p :cl4tu1wstended 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 ybt47s7nc1(lc-v mw :v0yd4 tr5upov rest. Write down its equation of motion.

  An object in simple harmonic motion obeys the following position versus time equ;6nv0u (cc kj i 9a:oz2pbrt5x 5u; 9abx 2j k:0rztocvcpi(6nation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following positio:ki )y 7dgu zqoy6 o,o5wxk4/dn versus time equato 6y o75/w :k,d4guk )ixzoqydion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the foll f oc7( vc4fw*p;wv1growing position versus time equati w4gw rf7;cfo1*vp c(von:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple harmonic motion acc2) ( 01y.-blibmuptu t vgwpr0ordinpuw1.ut 0blv2 )by -g(0p rmitg to 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 tojs l2nl073g3kx4yajy8f;i4 pprvd6 o spring with a force constant of 20.0 N/m oscillates on a horizontal, frictionless track. At t= 0, the mass is released from rest at x= 10.jp2y70k343l6 nop8g; jvil sx 4ardyf0 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 crfd d3b)*iubiw8 my8 ,omplete swings in 8.0 s. (a) What are its frequency and period on Earm8wfi* y)rb83, didub th?

  A 3.00-kg pendulum is 28.84 m long. Whasat7n 54/1wm:9m 4xzp kov xvbt is its period on Earth?

  A pendulum has a period of 2.0 s on Earth. Wmzmgnnpt((t2syuz3y jv959 +hat is its length?

  The pendulum of a grandfather clock is 1.0 m long. Wha3v8na;bw acvd 4 jl*r.*oaqz 2t is its period on the Ear;oa*b4qrv .3v* w8d2lja ancz th?

  The pendulum of a grka)xtkw,l*-xzpap 65andfather clock is 1.0 m long. What is its period on the Moon where the acceleration due kx wpk p-)z*x5t6la,ato gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.2c.yyintav/3 ve013 ma5-kg spherical mass attached to a massless string. When thvc3/ manyi 3tay e1.v0e 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 attached to the string instead?

A simple pendulum consisting of :oidty5 q-( f7ukq+v7 x /rausa 20-g mass has initial angular displacement of 8.0e. It oscillates w :id(/757var kx+uqqof-t s yuith 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 at a given tbvxu;h +y54 cn,r v4 kpevd/x*-x;j ayime. The frequency of the wave is 120 Hz. What is the a*/; xy5xap-,k exhdn4jcyv v b+vru;4mplitude?

  Figure 11-2 is a "snapshot" of a wave at a r2+(fmwe., vabxms7dgiven time. The frequency of the wave is 120 Hz. W+.m7 brwfevm2 (,asxdhat is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given;ys d z9ecphdrkk8, 71 time. The frequency of the wave is 120 Hz.d7s y,;kz1d9e8p rckh What is the wave speed?

  What is the frequency of5tpu 0v4d cl5j a wave which has a period of 6.00 ms?

  What is the period of a wave with a frequency of 15pu2g8h c ;pc;(vlu, hobbrc )400 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz and a wkz1 :gyzsnm dke-p (34avelength of 3.0 m?: 3 pg(se1-zdkkyz 4mn

  What is the velocity of a wave that has a wavelength of 3.0 m and a frequenmsrshk; (2wryk cri4 i 0:+h:ecy of 1s2+yrm wsi ik (0c rkh;r4e:h:2 Hz?

  What is the frequency of a 2.5 m wavfnq0 n;t;2by u jtv4-utfeq;; e traveling at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m /ex18aul.heuxcbg 7 :j g9w7ykp)rzv )sox .2is under a tension of 1350 N. What is the wave spy2wxxkj. 7vpe br)7 zuaxe9 hlg/sc :ogu) 18.eed?

  A string of linear density 6.0 g/m is under a tensij 5d 6*d4c:y be*tbvm.b(oywne r0a+yon of 180 N. What is the velocity of propagation6+ b*.j vbe yoeb 4dtnc*wy5m 0a:(ydr of transverse waves along the string?

A wave whose wavelength is 0.500 m is traveling down a 50 9dghge-q4dl+uhs*pv: w0m;m0 m long wire whose total mas4l:-gmpv;msg*d0 we q h9duh+s 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 transverkvc*j1fgf .:n rlhd ;; mb6fy3vwv0g)se wave on a 2.0-m long string fixed at bot:h3; g6mn gw*v k d0)yrflb .1;fvvcjfh ends is 200 m/s. Which one of the following is not a resonant frequency of this string?

  If a guitar string has a fundamental frequency of 500 Hz, which one of the follo2zp0ycmnnk arz( +ep3 z2 4uh0wing frequencies can set the string into reso2 r2hpp3(aez+czum k 04ny0nznant vibration?

  A stretched string is observed to have four equal segments in a standing wablx,jkxvxy; 9p0 muu0 na,))dve driven at a frequency of 480 Hz. What driving frequency will set up a standing wave with five equal segmentp 9d)u ju m,bla;v0nxx)yxk 0,s?

  A string, fixed at both ends, vibrates at a fr 5jw0h6 lyu.pofup9ien ;ux98equency of 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency is needed if the standing wave pattern ii9p.hu 8pnuxl yewj09o5; uf 6s to contain 4 loops?

  A string of linear density 1.5 g/m is under a tension of 20 N. What should its qg9(ag-uxng :m6k f3gexfi;6 length be if its;x:eg6g( im-gfuxnk 6 qfg39 a fundamental resonance frequency is 220 Hz?

  Find the first three harmonirqp7xd*sz4 ie d+pv495eyo- m cs of a string of linear mass density 2.00 g/m and length 0. 7i q*4vs+ped4p9d-oemy5 zxr 600 m when it is subjected to tension of 50.0 N.

A string of length 2.5 m is fixed at both6 e43jrag hx39qip,gah7zt6sxuan2 ) ends. When the string vibrates at a frequency of 85 Hz, a standing j62s 97x u h,6ge4haqaxg3iptn3zar)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.