The time for one cycle of a periodic proco 05hk 5r 1ot6:lbbzitess is called the

  For a periodic process, the number of cycl:rj olw aw +y5cbb25n6t75q rbes per unit time is called the

  For vibrational motion, the maximum displacemejeuh,t;ve.)mi o .-qgnt from the equilibrium point is cajv.);,eequ hgi -t.o mlled the

  A mass on a spring undergo)wlo 83ifyc 1tes SHM. When the mass is at its maximum displacement from e1cly3o8wi)f tquilibrium, its instantaneous velocity

  A mass on a spring undergoes SHndx-3ctfj:7h w74ks q M. When the mass passes through the equilibrium pcsxw4:tjkd7-q h n7f 3osition, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mah dhz81r 7pw40o) qxrjss is at maximum displacement from equilibrium, its instanta p47) rd0qzh8j1orh wxneous acceleration

  A mass is attached to a vertical spring and bobs up and down between poi e 9;jcfhqvjk,c)eu7; nts A and B. ,jq j7k)9;efec h ;vuc Where is the mass located when its kinetic energy is a minimum?

  A mass is attached to a vertical sprb hcihn1+n/ 9z0poa/k3 p3wzlv ni3(sing and bobs up and down between points A and B. Where n p(pk3h9oil+0b/w/3za3ins c1zv hnis the mass located when its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up and dow q:0br(u h+ijsftf*j;6d :j gbn between points A and B. Wheregf; f * jj:r i06tqd(bub:sjh+ is the mass located when its potential energy is a minimum?

  A mass is attached to a vertical spring and bobs + jnomt m6g5pl7.+ksv up and down between points A and B. Where is the mas5 j7s+ o gm6mn+.lkvpts located when its potential energy is a maximum?

  Doubling only the amplitude of a qd9ahw8k2 xq7mcaw a(n/1q5n vibrating mass-and-spring system produces what effect on the system's mechanical e172q ( manqkn h58awx9qc/dawnergy?

  Doubling only the mass of a vibrating mass-and-spring hs,ze e(.g6mzq us)q8 system produces what effect on the system's(8e6gqzh euqs, z).ms mechanical energy?

  Doubling only the spdhglpz, t79x 75vw lk*lval ;-ring constant of a vibrating mass-and-spring system produces what effect l9waldxk5h p7,tl* gv;7 zvl-on the system's mechanical energy?

  A mass oscillates on the end of a spring, both on Earth and on the Mo9vhqdi xe3x89on. Where is tq93i8 vh 9dexxhe period the greatest?

  Increasing the spring con(u8:bqz zj :jvstant k of a mass-and-spring system causes what kind of chan:uzvj(: bjqz 8ge in the 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 kind of change teyw0oz-vvkhrpu(- 8 .4* zvs in the resonant frequency of the system? (Assume no change in tu-z 0e*ywhtsk. zvvv4p( o-8 rhe system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system cad*xgnx9o f5 m(uses what kind of change in the resonant frequency of the system? (Assume nom oxgn*(x5fd9 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 consis28bvrrs a+ q* i*rlz/its of a mass M attached to a weightless string of length L. For this system, when undergoing smal8rq2s+/ *lvrbza*iri l oscillations

  When the mass of a simple pku3 6p1 k v+pl6jdhafd9aj9 q8endulum is tripled, the time required for one complete vibrat6d8 36qpv fa djl99+1aphujk kion

  Both pendulum A and B are 3.0 m long.c,l(6pf2wxpmum 5w 1t The period of A is T. Pendulum A is twice awf, lw(t 21mp5uxm pc6s heavy as pendulum B. What is the period of B?

  When the length of a simp5 q3 q,b 7pgvb.glft3qle pendulum is tripled, the time for one complete vibration increaset ,3vbglfgq5.7 3qbqps by a factor of

  What happens to a simple pendulum's frequency if both itsx0nb kd9jy8sf,y-1 rdul,6h.ok dv usm m4))t length and mass are increased?dmos, -rks8,hv )1uujykddlt f).n9yx0 4mb6

  Simple pendulum A swings back and forth at twice the fre8itafma y8yu ,m7vxzc :.z9b;quency of simple pendulum B. Which statement is coucx8mt 8av,7yz:i;zm9b y fa .rrect?

  If you take a given pendulum to the Moon, where the acceleration of gravity iskp5;nic .ek.zci.m2r 5g, sq q less than on Earth, the cim, zsi. .qkc;2n qg5ek.rp5resonant frequency of the pendulum will

  Curve A in Fig. 11-1 represents tl5 3/g:n irgc 9 h5i2hz5pggfbst8u)

  Curve B in Fig. 11-1 ree r.;5c:hch e o05f:j gtfy2ulpresents

  Curve C in Fig. 11-1 reprezi,5 x lur(;;yb6w::8nee8 f nn wkklrsents

  For a forced vibration,ko w,1i2) eubywq ) b(dfakj83 the amplitude of vibration is found to depend on the

  In a wave, the maximum di81,u mvrn0ag v tsf:*rrsi * a*1ik/pgdw(v;zsplacement of points of the wave from equilibrium is called the p1*0*ur ,8vv;agzr:dsf w/rv *1( tii smakn gwave's

  The distance between successive crests on a wave is called 7 rzpoa/0 g 2la:duhlh:1oa 4mthe wave's

  The number of crests of a wave passinga0yce3* a7;qj/zb q6th ss ,db a point per unit time is called the wave'zd, ys *s/6bq tj3c7h baq0a;es

  For a wave, the frequency uaya ;c 87ar2lrt *b5btimes the wavelength is the wave's

  The frequency of a wave increases. What happens to the d8. 8 yhwflxgr/z2h 8wj rjbf+3istance between successive crests if the speed remains l8ybz2x8rffwwhh g jj+r8./3constant?

  A wave moves on a string with wavelength l and frequency f. A second wave on the s3tir9r go):hscx61v same string has wavelength 2l and travels with the same velocity. What is the frequency of the se31cx9h :g rs)to6siv rcond wave?

  Consider a traveling wave on a string of length L, mass M, and tension T v mlpdc4t-2p9cps :c+;ie;sr . A standing wave is set up. Which ofm -lpc icep;s:dcp29 vt4sr; + the following is true?

  A string of mass m and lenga h.brs6ll3l aoi u*+op+z6* sth 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 2m, z+poas r.lo i6ub*a6l3+h*l swith no change in length?

  A string of mass m and length L is under tension T. The speed of a wave in thr:-z2svcwr b 8e string is v. What will be the speed of a wave in zvcs8rb2:-w r the string 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 wa8 ou,y2fho9 xgve in the string is v. What will be the speed of a wave in the string if the tension is increasfyhx 89og 2,uoed to 2T?

  In seismology, the S wave is a transverse wave. o 6:59;8k* zn lw gukek611agzgtea plAs an S wave travels through the Earth, the relative motikl pk;9e6k:g6 un 5zo a1eza8l1w g*gton between the S wave and the particles is

  In seismology, the P wave is a longitudinal wave. As a Pqxz:i06 uq ljx1e3wpt( 2xn0y wave travels through the Earth, the relative motion between the P wave and the particles ilxtq6unq( :2xyxp0 j3zw ei 01s

  The intensity of a ws z52k;e 3jzm :e-cwh8kj1gwlave is

  A wave pulse traveling to the right along a thin cord reaches a urpi32m- z cc4discontinuity where the rope becomes thicker and heavier. Wha32zu 4pc-rcmit is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitmcngdf 5 -0u4uudes pass each other on a string, one is traveling toward the right and the other toward the leu4cnm gd 0f5u-ft. 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 traveling wfk*4lo4 w-( lp6hc5 ( e)kvj.pudjuttoward the right has a positive amplitude)4ujol-pu e(wvd4* w(c.kk5jh 6pl ft , while the one traveling toward the left has 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 fixed at both end1 (evcniyl, ah2*b+v es, occurs when

  If one doubles the tension in a violin string, the fundamental frequ 9hr ff4c3pfk, (tux(hency of that string will inch 3urt(k9p xff(f 4hc,rease by a factor of

  What is the spring constant of a spring that stretches 2.00ch30hjrbek(3xt- b3lsm r r,;x2 qo /k cm when a mass of 0.600 br /xkt3j x- ebhr,3kco2(s lmr;0hq3kg is suspended from it?

  A mass is attached to a spring of spring constant 60 N/ttao)n n;;j r+o .zxe l-j7svt9k s7c6m along a horizontal, frictionless surface. The spring is initially stretched by a force of 5.0 N on the mass and let go. It tt7ro )k-o;+j x.7scntv9zant6jl;e sakes 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 constant 60 N/m leu/-s/ d;onxr qe073rgojh;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 7nodr;s g0 r /e3x-j u/lqoeh;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 hor *h4.m8 u4zuovybvh b7izontal, frictionless surface. The spring is initially stretched by a ov44ybh vu7u . *h8zbmforce 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 frequency of oscillation?

  A mass on a spring undergoes3 c k*egtswaios8o9 *6 SHM. It goes through 10 complete oscillations in 5.0 t ica*s 6seko93w8 *gos. What is the period?

  A mass vibrates back and forth from the fryvv67wuu30u* mkzt w xy,s,e-ee end of an ideal spring of spring constant 20 N/m with an amplitude of 0.30 m. What is the k vu,v y0txw673mzusw,e-k* uy inetic energy of this vibrating mass when it is 0.30 m from its equilibrium position?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m along u nahd seu.kdd c,qrbl8.v7 e-s-49h 6a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s at the equilibrium position. What is theu.hq-e,s4-n8rve 9ck.d d7sbd au hl6 total energy of the system?

  A mass undergoes SHM with amplitude of 4 cm. The energy is 8.0 J at u.o (s o0 r7o.era5:b ldh1rabthis time. The mass is cut in half, a5edr1 o:r ahuo.b r(sa.0lob7nd the system is again set in motion with amplitude 4.0 cm. What is the energy of the system now?

  A 0.50-kg mass is attached to z2 myos;63u)wv .okvva 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. What is the amplitude of v; .kv 2)vym3o6 svuwozibration?

  A 0.50-kg mass is attached to a sje11mg (uj3k 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. At wk1jmu ejg31s(hat location are the kinetic energy and the potential energy the same?

  A 2.0-kg mass is attached to the end of a horizontal spring o yz0ord e:0p 2u,2blspf 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 thip slru2z20pd :,0eyobs system?

  A 2.0-kg mass is attached to the end of a horizontal spring of spring cozfr5w9fcbn , +kxy)t;w (jl s:nstant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the to+;5xk,wnlf frtjzc9)(yw :bs tal mechanical energy of this system?

  A mass vibrates back ii3 ifv)f85 hhand forth from the free end of an ideal spring of spring constfivih i38)5f hant 20.0 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 - e mdj4a6yss3 6p(79 alkrxkzequilibrium positionekrm3 sz 6(46aa jlpxdsy7k9 - and released. 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 spring constant 10 N/m. The objectaz k :4azzx3l.btoo czu)/zy8 y;l/k2 is dispcz 34 :lazuxt.y/zzbo28; yakzlo/ )klaced 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 sprs4t r f/mjv5*ming constant 10 N/m. The object is dimtv m f4*j5s/rsplaced 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/m, displaced sv g63,* lz yis9wyp1vrlightly from its equilibrium position, and released. What is the frequency of its vibr9g6p*r ,z wvlv3isy y1ation?

  A mass is attached to a spring. It oscillates at a frequency of 1.27 Hz when diorgbd+yew x8:ejlphk o1 c84p7,w;e )splaced a distance of 2.0 cw jlh4 e87)w,y :ppb;cer 1eogdokx8+m from equilibrium and released. What is the maximum velocity attained by the mass?

  Two masses, A and B, 5y *3z xxmxzkn3ur4;g.xshi 0are attached to different springs. Mass A vibrates with amplitude of 8.0 cm at a frequency of 10 Hz hg 3*304x nur 5xyzsm.xikx;zand 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 equilibrium the mass strg,eh+z7j hzr:czh1j .etches the spring 2.0 cm downward. Thhrze 7cj z.h1gj+:zh,e mass 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 suspended on a spring. In equilibrium the mass j.odn c5t)e4yy:ly oa 8c*j2istretches the spring 2.0 y:e54y28id*l ccono t )a jjy.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 equuoo,uk 9 j:gyyt288 edilibrium the mass stretches the sprej,:ot9 go uud8 2yyk8ing 2.0 cm downward. 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 timedz lk/ge7.z;/5bao kppil+ j8 equati gbk7kpd8l/ap5zz.; ji +/elo on:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonay f171o/oe2xb8 ;k;2vlx v bqkf,zlsic motion obeys the following position versus time equatioka17 bb; v;,qxxek vy l1z2fo8/sol f2n:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic wymz-2fg/b 8m motion obeys the following position versus time equbz/mmg-f 2y8 wation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the frd3uvmi3mzgb+ lrd 1o5 (0c) yeee end of a spring executes simple harmonic motion according to the i30(+bvdgeu )1mc3yomd r 5lzequation $y = 0.50 \; \sin (18\pi \times t)$ 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*k0wjz j;*b;0 tx-sm rudx u a force constant of 20.0 N/m oscillates on a horizontal, frictionlejd* x** 0;-ra jxwku0;zubstmss 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) Wj3pp eucil ;+g;o3o p9 wnv:7ghat are its frequency and period on Eart+genv3pcji 73:gwol;p op9 ;uh?

  A 3.00-kg pendulum is 28.84 m long. What it6ga0jv 22ynk s its period on Earth?

  A pendulum has a period of 2.0 s on Earth. What is its lengt*yn96 uv(v a-eu of:8hcrc ).x.adqn/dhjvt *h?

  The pendulum of a grllkjd q:-y pu;6p*2zn andfather clock is 1.0 m long. What is its period on the Eaj*:nl -2 pd;kpl6q zyurth?

  The pendulum of a grandfather clock is 1.0 m longl 0t4vnce-2 1h+wi rhd. What is its period on the Moo0+ e4hnr- wc1dv hi2ltn where the acceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attached to a masslesrb) xh(o gtz 4q, v8n;3awys0ss string. When the mass is displaced slightly from its equilibrium position and releasegbh(,t) sz 0ry;xo4 s wq8vn3ad, 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 a 20-g mass4 whx qbl.2l,,xsf61g r5ia awhclk+ - has initial angular displacement of 8.0e. It oscillates with g+bxalh w.l-l2i6hq crs af5,kx4w,1a 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 time. The frequency of tqj0hnry.a97o9kv8f 88 .xqs u uc vt/khe wave is 120 90s7r8/k8uq .n k vcxutj.9v qh8o yfaHz. What is the amplitude?

  Figure 11-2 is a "snapshot" of aonrub 46h-2ux 7, 3 gab5tmp-)oxxnez wave at a given time. The frequency of the wave is 120 Hz. What is t zoxxnb- 72b54h, 3x aoge6upru) mt-nhe wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given tim n*a hf(:sd,k p,rlf56/fxpw me. The frequency of the wave is 120 Hz. What is t kn :rp fw(*dsa6f5 /x,l,fhmphe wave speed?

  What is the frequency of a wave which has a period sjey m9ac uk :c1bl1hs 2(t(6tof 6.00 ms?

  What is the period of a wave with a frequency ofpsd,yrc/l:; y 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz and a wavelengthh, 58.lj qvza ;xl3 wzbhkvk11,sia4f of 3.0 v 4.aiv,8b;q xl,1jhf1az ks35zhwlkm?

  What is the velocity of a wave that ha8 3k angh4:iows a wavelength of 3.0 m and a frequency of a:3 8on4hwgki12 Hz?

  What is the frequency of a 2.5 m wave traveling at 1400 r+t ae6j ;zev(ywj8h) ;f40-hfawqod b)+lpq m/s?

  A piano string of linear mass density 0.0050 kg/m is under a ez)dqbd .vz(+i-*5ukym rop2tension of 1350 N. What is the wav z-p *)rmz q5eiv2kdudb+(.y oe speed?

  A string of linear density 6.0 g/m is under a stu-mzp :tk a *z:0 x (chbdg,21ezdm8tension of 180 N. What is the velocity of 8-ph02z tb:a:d(umkm zgs zce*t1,xdpropagation of transverse waves along the string?

A wave whose wavelength is 0.500 m is traveling down a 500 m long wire whosw vwq6nvn52v)zw*9 mfe total mn6 w qvmz*fv2w9)5nv wass 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 lvmh0c;5y zghem31xrme+tq:9 edp2a 2 f82p kwong string fixed at both ends is 200 m/s. Which one of the following is :f +reg9ee3ap hp2q d;vh0z 51y28tmmmcx2kw not a resonant frequency of this string?

  If a guitar string has a fundamental frstbco6pk-+ r) equency of 500 Hz, which one of the following frequencies can seo)ps k+-bt cr6t the string into resonant vibration?

  A stretched string is observed to have four equf10 csyk/ g8fwal segments in a standing wave driven at a frequency of 480 Hz. What driving frequency will set up a standing wave with five equacfysw08 1 gfk/l segments?

  A string, fixed at both ends, v,cf5v kw/-e-6 jmlyv pibrates at a frequency of 12 Hz with a standing transverse wave pattern containing 3 loops. What fremvcw fejk-p6y/l- 5,vquency is needed if the standing wave pattern is to contain 4 loops?

  A string of linear density 1.5 g/m is undeu4.n 7m8wdton r a tension of 20 N. What should its length be if its fundamental resonance nnwu7 d8omt.4 frequency is 220 Hz?

  Find the first three harmonics of a string of l4:*6csrjzzk 3cpdx4c inear mass density 2.00 g/m and length 0.600 m when it is subjected toj *:dc4ccr sk6x3 z4pz tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. When the string vibrates at a vbepy ,9lm;l 6c )hgnpp23db+ frequency of 85 Hz, a standing wave with five loops is formed.,p )embvd;y62+c9ll h ng3p bp
(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.