The time for one cycle of a peric u*d2b/ha( u d8mq+2 in6yknvodic process is called the

  For a periodic process, the number of cycles per unit time(cp l(lio:k+ n is called the

  For vibrational motion, the bntm bn(+korekvh. 90 mcd00 5maximum displacement from the equilibrium point is called d+keb0 09hmr t(novknm. cb 50the

  A mass on a spring undergoes SHM. When the mass is at itzq)+ sm u*,,7woiy cvhs maximum displacement from equilibrium, +7i vq,yhw s ozu*m,)cits instantaneous velocity

  A mass on a spring undergoes SHM. When the mass passes throug,g:5 bk/1ao(jsd bhhth the equilibrium position, its instantaneous /ajsgbobk:5,dh 1(thvelocity

  A mass on a spring undergoes SHM. When the mass is 6+blyjj3 k-dd s6y+sdat maximum displacement from equilibrium, its instantaneous accelersy l636-djb+djds ky+ation

  A mass is attached to a vertical spring and bobs up and down between points 3y hgj b+q u9 8wu0h+caqwno(9A and B. Where is the mass located when its kinetic energy is a minimum?0on+ hj bq acw9g9(u+yw 3u8qh

  A mass is attached to a vertical spring z:jon0 atp.vjno 5eaob/72l 3 and bobs up and down between points A and B. Where is the mass located when its kinetic energy is a maximum?lez2.jop0oon a/ a53v:j7tnb

  A mass is attached to a vertical spring and bobs up and down between points A zpyo;ip2fp) 7*5hu 5mo5jvvb ano;mu)ph5 ivp2p55 7bfzjy*v od B. Where is the mass located when its potential energy is a minimum?

  A mass is attached to a vertical spri vz)oqifc, ynyr3 rp08j ;)dq)ng and bobs up and down between points A and B. Where is the mass located when its potential energy is a maximumrnpy ,zo)iry)d8;vqc3 q0f) j?

  Doubling only the amplitude of a vibrating masst35 nk upncf48-and-spring system produces what effek fnpn3cu4 5t8ct on the system's mechanical energy?

  Doubling only the mass of a vibrating mass-and-spring system prodzl- 1/fxklpcd w+5xn4uces what effect on the system's mechanical energyzdw/-l pf5ckx n4+1x l?

  Doubling only the spring constant of a vibrating mass-and-spring systzokvps +0b pvqo(ie 9 vl/c )ud38j-4pem produces pbip- ev9vz ojc8vp u4)d +so(l/ 0qk3what effect on the system's mechanical energy?

  A mass oscillates on the end of a spring, both on Ear:los),yv45;xh3bew bw qu1cfd lr-r8 th and on the Moon. Where is the period the greatf;rlb-l)d1xb qwyvr o: eh 3cuw85,4 sest?

  Increasing the spring constant k of a mass-and-spritjs3 7iy1qo5 5a2vrk ing system causes what kind of change in the resonant frequency of the sy53jiyqr a5i t2okv7 s1stem? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring systemd dzk,dz (ept-0j30ql causes what kind of change in the resonant frequency of the system? (Assume no chajk00lt pd,zq3(ez-d dnge in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system causes what kind of changzno(dnr 0 q:rm h:-(fce in the resonant frequency of the system? (Assume no other cha(z:rr q h f-:mc(dno0nnges 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 weighzt; biesjs,1j z-au+5 tless string of length L. For this system, whenas t-ie s;+uz,5 zbj1j undergoing small oscillations

  When the mass of a simple pendulum is tripled, the time required for one complet, a :gu+0dmto mby7*hge vibratgymt bd0h,u*g m +a:o7ion

  Both pendulum A and B are 3.0 m long. The period *6dc cl1qsp9 yof A is T. Pendulum A is twice as heavy as pendulum B. What is the period of p ycsldc6q1*9 B?

  When the length of a simple pendul) smtn ei8l92:ia g*lium is tripled, the time for one complete vibration increases by a tnii:l9 gs2)m*ie8al factor of

  What happens to a simple pendulum's frequency if both its len2a r qls8f/h4xh1 fd3lgth and mass are incrq/ 81ld2s a rf4hlfhx3eased?

  Simple pendulum A swings back and forth at twice the freqch ph b8 n54t*+tiqah4uency of simple pendulum B. Which statement is coh*bpntahih54 c4+q 8trrect?

  If you take a given pendu/ hj d(l1c u1r slf(qdb4t-v9wlum to the Moon, where the acceleration of gravity is less than on Earth, the resonant frequency of the pendulum wds1(4fhw9d (-lt jubc1lr/q vill

  Curve A in Fig. 11-1 represehmk ik3+ef9nt1 g-r2knts

  Curve B in Fig. 11-1 re7t6petr;a k.p h1 *o3wngnw1m msqh, ,presents

  Curve C in Fig. 11-1 reprvv)mywn;*k ,a22 mlskesents

  For a forced vibration, the amplitude of vibratioavqoy 9lbx.7g1mk( bq(r9 l,mn is found to depend on the

  In a wave, the maximum displacement of points of the wave from equilib; rkndi2/ 1xubrium is ca xrd1 in2/ukb;lled the wave's

  The distance between successive crests on a wave9 e)wit dm*uvk9q74z y is called the wave's

  The number of crests of a wave passing a pov9zo67p ;uv osint per unit time is called the wave'vuz9sp7vo;6 o s

  For a wave, the frequency times the wavec*jw qbv) /lwa7a 8udqgk-,l;length is the wave's

  The frequency of a wave increases. What happens to the distance between succi1muau lyw06uq(uav 84d5q. yessive crests if the speed remains constant?y6( lvdqu mq8a0.u auy iw4u15

  A wave moves on a string with wavelw(7v :aieo5dsength 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 sei 7(daw5v:seocond wave?

  Consider a traveling wave on a string of length L, mass M, and t xvl6(cu /fe)y* rd.sxension T. A standing wave is set up. Which of the following is tru* yed/sl) v.xcx6ru( fe?

  A string of mass m and len z,tqsggl /-s)cd 4lp8gth 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 string is increased to 2p- g)zl8dt c,g4lqss/m, with no change in length?

  A string of mass m and length L is under tension T. The speed of 9ez1s 8av km6 : (ome)ht4mneta wave in the string is v. What will be the speed of a w:z)matnmeev(m 6 t 1esoh948k ave in the string if the length is increased to 2L, with no change in mass?

  A string of mass m and length L is und kd -9o9ewr *+qrdoy6:4wq :(2ibhatsn7finger tension T. The speed of a wave in the string is v. What will be the speed of a wave in the string if t*:y tdd i na97sn9hf qkoor :q e(i+b-w426rgwhe tension is increased to 2T?

  In seismology, the S wxd 1 x16mk;l5diqb e/pq2r+lsave is a transverse wave. As an S wave travels through the Earth, m65;pqis2d rb 1q 1 +lxdel/xkthe relative motion between the S wave and the particles is

  In seismology, the P wave is a longitudinal wave5g de2hd lco2vph 2;mxlm9doc9yo+3 0. As a P wave travels through the Earth, the relative motion h;5dxgol 2docc23loy edm m2 ph v990+between the P wave and the particles is

  The intensity of a wauzsb 6+0 )rov/ o2gzbbve is

  A wave pulse traveling to the right along a thin cord reaches a discontinuity8 -kmlisu 3 23i*q2whkw1appndx1 at * where the rope becomes thicker and heavier. What is the orientation ofiwhs23 3kx1*k*uti1 ap8aldm n2-wqp the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each other on a string, onl-m bbg aw527ni* qcgj/u0rf 7e is traveling toward the right and the other toward thjura m2*-n0/b5 fwgqb7cg l7ie 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. The one tdg0u+lp7n i(- )yj yxbraveling 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 that they occupy the same reg07g-ydnxj)lp(u yi + bion of space at the same time

  Resonance in a system, such as a string fixed atlon82 tq c,d- +h9ygsd both ends, occurs when

  If one doubles the tension in a violin string, the fundamental frequency lq f iwn gpr8(vh*,x;3of that str q;wi(, x3lvgrnhf8p* ing will increase by a factor of

  What is the spring constanta*jd dtkww 8.(6iw v/ aqgcr.6 of a spring that stretches 2.00 cm when a mass of 0.600 kg is suspended from it?6q w(*aid .rd/gjc. a8w6kvtw

  A mass is attached to a spring of spring constant 60 N/m along a horizont)x 7.njptyr0n / c7i4yek 3uacal, frictionless surface. Theuyn7c/yip0.7k x raj)e t3 cn4 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 amplitude?

  A mass is attached to ab+;j9 7zivua n 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. What is the peri9bzj;v n 7ia+uod of oscillation?

  A mass is attached to a spring of spring constant 60 N/m along a horizontal, fi4*gqw 45ht8nwles :;:f cma idq+e5b rictionless 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 osc :wm ecn*d: g+as4i54tql;8if5 ehqbwillating. What is the frequency of oscillation?

  A mass on a spring undergoes SHM. It goes through 10 complete oscillatio 5gm.kody b-zu0 tbkceg74 q4*ns in 5.0 s. W7c4t -5d0u4byko*kzem.g b q ghat is the period?

  A mass vibrates back and forth from the free end of avfyrf n 7,e+j:n 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 equilnvej7 yff r+,:ibrium position?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m along a ho p4.5w n9txpm 6.w8al iuotu0erizontal, 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 w 5o6ti putuan 40w9x.pml8. eenergy of the system?

  A mass undergoes SHM with amplitude of 4 cm. The energy is04wkpzua; / ss 8.0 J at this time. The mass is cut in half, and the system is again set in motion with amplitud 4szk/w0; aupse 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 alongg8(h sa u1k3rk a horizontal, frictionless surface. The object oscillates in simple harmonic motion as3gah 8(ru1 kknd 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 of spring constant 20 N/m a6ee+n l1:0la2uzvi xxlong 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 the kinetic energy and the a:l izle+ux 1v 2ex60npotential energy the same?

  A 2.0-kg mass is attached to the end of a horizontalh3 qj27)dlxt5-y.x hos pe :5,kwwm tc spring of 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 this systempm3qd 2 hyhkws5t cx,.w7te jo)lx5- :?

  A 2.0-kg mass is attached to the end of a horizu*qr9 z:z35,iezeym0 -t dxrm rst8r:ontal spring of spring constant 50s*d r3,u ei 8zerztm :9y5m 0qx-zt:rr N/m and set into 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 x.:q,t1c fpw+7d+ h5n hmywy1vo/bko from the free end of an ideal spring of spring constant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kinetic energy on+ fyvy7/kc5.thbh ,+1o mpw d owq1x:f this vibrating mass?

  The mass of a mass-and-spring system is 7x7v qz2t,dsft g 78wf*iset 8displaced 10 cm from its equilibrium position and released. A frequency of 4.0 Hz is observed. W*iq8wds7 8z f ,fgv 7e27tsttxhat 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. T(*glvft32,qtr1bk x rhe object is displv k,lt*rgqfbt (12xr 3aced 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 sp7y clg,fokg kh*6*7lb ring of spring constant 10 N/m. The object is displh cg7 ,l 6b*oyk7lgk*faced 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/mc8w jmm35enp 5, displaced slightly from its equili mcemj85n3p5w brium position, and released. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillatwvu 5 ;u g2,+lbph2c btv:cch1es at a frequency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What is the mbgc1vtc bc:2wvuu; h+l52hp ,aximum velocity attained by the mass?

  Two masses, A and B, are attached to different springs. Mass A vib36duypn7t/cm5u /yew4y ks2 s63my i yrates 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 thep36 y/ swy m3s6ymcy 7udte4yk/n2u5i maximum speed of A compare to the maximum speed of B?

  A 0.30-kg mass is suspended on a spring. In equilib/k 2wd)s3bpvls i f*)erium the mass stretches the spring 2.0 cm downward. The mass is th3ev w )lksp*fi2bs)d/en 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 on a jn.l0.l;v kn,z 8me8luue z,n /t,yskspring. In equilibrium the mass stretches the spring l un,kv.8/,jz;e ynm8e, tlnl zsu.0k2.0 cm 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 spring. In equilibrium the mass kf je*pb 9+q20wnc9z peay -2cstretches the spring 2.0 cm downwardkp*fe+b2pn e29c-0w9qa cy jz. 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 versy2a9g r m(nc7r9z czt7,mmzhc+y +x-ous time equa 7z g+mx mc,mr za-2(rc9+hz7ncyot9ytion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following positlvrf)( p2s qg(ion versus time equations)v(q2rpg f (l:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the fol8 zyv.ie kb(3 x* lil3kqamh/l. :)zwelowing position versus time equati(klbz ./iy3*3mqe z hiale)k8 x:wvl.on:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple harmh:e*u5wpr+axw)e w for h3h)*onic motion according to the equawhxa*pf+wueoh 5 r)r *e) :wh3tion $y = 0.50 \; \sin (18\pi \times t)$ 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 cofq7nzt1u)hcw.a --cumxq1p 0nstant of 20.0 N/m oscillates on a horizontal, za1quqw -m7f pc.n1 h-u0tx)c 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 b)u6.qe 9yd ffs3fj ,lcomplete swings in 8.0 s. (a) What are its frequency and period on Eareusb9,q6)j.3 dlfyf fth?

  A 3.00-kg pendulum is 28.84 m long. Whatz;a8(npq/ r2(g1l q a fxi9shq is its period on Earth?

  A pendulum has a period of 2.0 s onh xsb+ s.(pih; Earth. What is its length?

  The pendulum of a grandfather clock is 1.0 m long. Whathtofc;/7 b*pg2di td* is its period on the Earth?tdp/*tdb7go;2 hc f i*

  The pendulum of a grandfath 7jnvbhsa8x9nb; *mgy d4p,h-er clock is 1.0 m long. What is its period on the Moon where the acceleration due to gravity is og9msyb4 hn *,dj-8vnbx a7;p hnly $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attached to a )d+ p:+h9zim i tp ilzuh3,nh2massless string. When the mass is displaced ztz +d2pmh)ip n ,iiul3h:9+hslightly 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 cooj/ f 7le*yaj,g62t9 cl.z heywsn(;vnsisting of a 20-g mass has initial angular displacement of 8.0e. It oscillates with a p7;(jwl/chs2e v,flt*og .9zne 6jyay eriod 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 time. The frequencjx r9f 9s*2m r.azp*mxy of the wave 2 rp9 *jsazmxf.x*rm9is 120 Hz. What is the amplitude?

  Figure 11-2 is a "snapshot" of a g eb*3v*j:m nfquc06x wave at a given time. The frequency of the wave is 120 Hz. What is the wave eju gq:vcn60*xm*b f3length?

  Figure 11-2 is a "snapshot" of a wave at a giv0 *fw nm14npmaen time. The frequency of the wave is 120 40m1pw* afmnnHz. What is the wave speed?

  What is the frequency of a wave which has a periodipc4p ; m**t xmqkj6:d of 6.00 ms?

  What is the period of a wave with a frequency of std5rzq2p g4 -1500 Hz?

  What is the wave speed if a wave has a frequency owakt; :2vtc43/kv tprf 12 Hz and a wavelength of 3.0 mctw pa 2k r;4k3/:ttvv?

  What is the velocity of a wave that has a wavelength of 3.0 m and a frequecpxx 9vek04v7-iwag -ncy of 12 Hzcxvi x g7ea0kv- 9w-4p?

  What is the frequency oa-)l,qw si1bn 0saz )vf a 2.5 m wave traveling at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is under a ten3ou6qje3qb pa aiu0j/va)(3 f sion of 1350 N. What is the wave ju63q p 3)(voji 3a bef/uaaq0speed?

  A string of linear density 6.0 g/m is under a tension of 180 N. What is the velq . :pud0p6mix-1ystrocity of propagation of transverse waves along-tsd1ur0px .6: qm piy the string?

A wave whose wavelength is 0.500 mco,97tk w1uxqq1 aeu+ is traveling down a 500 m long wire whose total mass ix ek7,q 1wucauto91+qs
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 transversmad31c :t6ju om0v: zre wave on a 2.0-m long string fixed at both ends is 200 m/s. Which one of the fot:v0d3oz r:a 1jm6uc mllowing is not a resonant frequency of this string?

  If a guitar string has a fundroe1*mouei5 pa+80v4wq c4hes z/5 sxamental frequency of 500 Hz, which one of the following frequencies can set the string into resonant vibratiervc1mx4s h/sz50aow 45eo eqip8u +*on?

  A stretched string is observed to have four equal segmentsg suk6bkm5p7. in a standing wave driven a kk.75mug pb6st 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 at a frequency of 12 Hz withs6x e:ihdk1rx z /t xfw67vntb u:(sp i9s,7v0 a standing transverse wave pattern containing 3 loops. What frequency is needed if the standing wave pattern is to contains:0uxit:/z r71(9,7xvibhtx fwnkv6d 6esps 4 loops?

  A string of linear density 1.5 g/m is under a tension of w96s/ct; w zle20 N. What should its length be if its fundamental resonance fr/ zec69;lwwst equency is 220 Hz?

  Find the first three harmonics of a 81ixp ybhcytg(:) jy5 string of linear mass density 2.00 g/m and length 0.600 m when it is s8c)gxjy5 ybhi pt 1(y:ubjected to tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. When tz/*hz-x-e: s:fhqr24ouxh je he string vibrates at a frequency of 85 Hz, a standing wave r z 2s-*hhh e u:zjq4-o/:fexxwith 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.