The time for one cycle of a periodic process is dtai-bxzla xfh-t-9( kq ,ak wv.22 a1called the

  For a periodic process, the number of cycles p-7r ub cjrvc/a *3x:pter unit time is called the

  For vibrational motion, npn0*2o* njqw 0ge xc/the maximum displacement from the equilibrium point is called **pwenxjo0n20 g /ncq the

  A mass on a spring undergoes SHM. When the mass is xq whjc3,jp, 1at its maximum displacement from equilibrium, its instantane cq,h,jxwp 13jous velocity

  A mass on a spring undergoes SHM. When the mass passes through;xpzz93cm4 o)epa imo96w c a. the equilibrium position,.xm;im3z69 o ca4appcz) weo9 its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass is at maximum displacet9( kvy6 ddujt: 8mm8 (+gpuulment from equilibrium, ittu9 8mk+d( jydg(pu6lmv8 u :ts instantaneous acceleration

  A mass is attached to nbor 0q64pgg) a vertical spring and bobs up and down between points A and B. Where is the mass locat or)06gnqg 4pbed when its kinetic energy is a minimum?

  A mass is attached to a vertical spb i8k3 j3 4pab52colsrzo o2q/ring and bobs up and down between points A and B. Where is the mass located when its kinetic energy isbps8 4oo52qbi2oaz/l3 j rk 3c a maximum?

  A mass is attached to q7oq+ d: ;8op+ld/pt i)ruzgia vertical spring and bobs up and down between points A and B. Where is the mass located when its+gq) it 8 oozlp +dd;:iq7pru/ potential energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down between points A a39/fwgs+blus ex.h ;xkp; x/lfw/um6 nd B. Where is the mass located when its gpb3u 96.u+x /w f/xswl mx;ek;sh/flpotential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-hi i 5 5;.y s.hjrs0f:zyslxde o;aml )74q(ftand-spring system produces what effect on the system'r: sathy .5h;m4yd.sof0qi)(e j llfx5 z;si7s mechanical energy?

  Doubling only the mass of a vibrating mass-and-spring system produces what effe/ol rcd6m ;ntqw*csb5)qzl4, ct on th*d osrlc ;6,m)bcq4qltwn 5/ze system's mechanical energy?

  Doubling only the spring constant of a vibrating mass-and-spring sys3x+5gwg*dm 80wsc8: qy hg zndtem produces what effect on the sdzg 0hw8: 35yqggd+8x*sncw m ystem's mechanical energy?

  A mass oscillates on the end of a spring, both on t7/ s)*pd c,c2jjz9pjsr m6lo Earth and on the Moon. Where is the p2,9t*cscjj l p6)os rdjp /7mzeriod the greatest?

  Increasing the spring constant k of a mass-and-spring system caus 5i,mww+.n vh5mn* 8 mrjnkzm-lf+i2les what kind of change in the resonant frequency of the system? (Assume no change in the system's mass w8z5 nkmnim*+nr w.m2-i, v+5hljmfl m.)

  Increasing the mass M of a mass-and-spring system causes what kind of change in k x; v3*sd;ddzthe resonant ;kx3 zdsdd*;vfrequency of the system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-ak-bklsl- tqdb +sm*),(6mn i knd-spring system causes what kind of change in the resonant frequency of the system? (Assume mi (-b*mskl+ k)kt q-sbl6d,nno 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 lengt4dgpzv1.qy 44oraop.oyc6+,zo;e d s h L. Forp6es4yoo4rv. ; zgz,1o odpd a4.yc +q this system, when undergoing small oscillations

  When the mass of a simple pendulum is tripled, the s v6b ng/)42hzpwfe.q time required for one complete vibrwvef2q4z.b )sp6g/nhation

  Both pendulum A and B are 3.0 m long. The period of A is T. Pendulum A i 9h70z5y bdjgmcc ,*des twice as hz0 9ed5j7 y*g,cbm chdeavy as pendulum B. What is the period of B?

  When the length of a simple pendulum is tripled, the time for one conxzfn f;o;7; tqn3m egcy 3s)wpgq857y 8d3r cmplete vibration increases bc ) t5yd;nz 73fenr 8ym7qno3x; gw3sqg;f8c py a factor of

  What happens to a simple pendulum's frequency if both its lengbs+u2v6mchfyq 4/1ly th and mass are incrcqmyl+v/ 1 sf64 uhyb2eased?

  Simple pendulum A swings back and forth at twdgzx mcnr6 )e, )6f+icw c9 ldry.s.6nice the frequency of simple pendulum B. Which statement is ccxzrird ,y.n+l 66.w) c9s mf6egdnc)orrect?

  If you take a given pw7,fa .tzqtc* endulum to the Moon, where the acceleration of gravity is less than on Earth, thetf . tcw*za,q7 resonant frequency of the pendulum will

  Curve A in Fig. 11-1 .ppel)u3 f,z drepresents

  Curve B in Fig. 11-1 reprvo3id6 fus lp -fvo0,:esents

  Curve C in Fig. 11-1 rep:1-tyrlq+1v f fuqa e03cd0p presents

  For a forced vibration, the amplitude of vibezo b,to(/* sie7 di0ttth),qration is found to depend on the

  In a wave, the maximum displacement of points of the wave frotc m; s.psuk74m equilibrium is callec ku 7st;ps4m.d the wave's

  The distance between successive crests on a wave is na+nkb-w 4,sfcalled the wave's

  The number of crests of a wave passing a point per unit time is callywt6 doyaa)z, 6t(f;led the wave's( otf6; lawza)yd6y ,t

  For a wave, the frequency times the wavelength is the b1 ,4f)e;fiwyar,hva wave's

  The frequency of a wave incre9u( ikaljset7btv4 .jn a566gases. What happens to the distance between successive crests if the speed remains co6 4 l7j.nvtate5ijkbg(9 6uasnstant?

  A wave moves on a string w c3,t *xz zdqqpe5n1m,paa*x c zd;/l5ith 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 second;/*x c xd5z*nzaqa,td5 le ppq, m1cz3 wave?

  Consider a traveling wave on a string of length L, mass M, and te nk;p(n7d+boxnsion T. A standing wave is sepn +7;d (nkbxot up. Which of the following is true?

  A string of mass m and length L is undehcva-kfyfvl 7 1u-3 k7r 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 increa kk37flvcahuv-17f- y sed to 2m, with no change in length?

  A string of mass m and length L is under tension T. The speed8bdwdr: ,o--7-ag aw zt7hz d iu4kb6l of a wave in the string is v. What will be the speed of a wave in the string if the length is increased to 2L, with no change in -,k7 b dwz-u4 i gzd6ahrw8olda7tb:-mass?

  A string of mass m and leng+h7kc3ox/: -rwh3w( rs nwdzqth 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 stro (whkw:7r 3 / +3cszqwnrd-hxing if the tension is increased to 2T?

  In seismology, the S wave is a transverse wave. As an S wave t+ss qmh/99 hxzx1m vq/6hewr, ravels through the Earth, the relative motion xms+mr1v z,x6h/wh9h e9qsq/ between the S wave and the particles is

  In seismology, the P wave is a longitudinal wave. As i emtw1n)ez 7-a P wave travels through the Earth, the relative mot me)i-t1nwz7eion between the P wave and the particles is

  The intensity of a w4 qj zc.67v2z9u27r9qfb s9 uj/folxw+ eytqdave is

  A wave pulse traveling t 29dq5xoj*njl f(mv (do the right along a thin cord reaches a discontinuity where the rope becomes thicker and heavier. What is the orientation o5omnj f lq(vxddj2(9*f the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes passin.xje m,l*q ig2nk36 each other on a string, one is traveling toward the right and the other toward the lejkxn 23 *,ien6l mig.qft. At the point that they occupy the same region of space at the same time

  Two wave pulses pass each other on a string y*u dj0dwjq j, +i81qee9;kax. 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. At the point that they occupy the same region of space at tqkdjd ja*8qye ,ju e+ ;x90iw1he same time

  Resonance in a system, su4n )o3ick,g 0fvbr; 3ou lk+ t*tmytl9ch as a string fixed at both ends, occurs when

  If one doubles the tension in a violin string, the fundamental frm.esjqov25z zv3k.( sequency of that3zk(vqs2.o .zv smej 5 string will increase by a factor of

  What is the spring constant of a spritlszn +v 7 -cf0gr;/1ud:wxgldzqo8,d 2uw;eng that stretches 2.00 cm when a mass of 0.600 kg is suspended from igtgdd/+7ld ze;x 0 8 w1qv2 fzow,rcns -u:l;ut?

  A mass is attached to a spring of spring constant 60 N/m along a horizontal, f)uww ( kfyh9awl rpbmwt +5/++rictionless surface. The spring is initially stretched by a force o)u rk59+tm+w w f(/pw+lyhwbaf 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 a sgali mc: a6 +khvx/nof8l3*g+pring of spring constant 60 N/m along a horizontal, frictionless surface. The spring is initii8no xal gkv /f3lhmc6+a*g:+ ally 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 ofyrsa -g;* c1 ij;roi5m 8oju1j 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 fre y18o g sc ;mar;j1ujo*jiri-5quency of oscillation?

  A mass on a spring undergoes SHM. It goes through 10 complete oscd;cwwpt rxe79i3 j 18zul1 z4willations in 5.0 s. What is the periow dlr817 zz 41u9je3tp;wxc wid?

  A mass vibrates back and forth from the free end of an ideal springa7 yfatu77t458 x*+ mpm)w qreonvqs9 of spring constant 20 N/m with an amplitude of 0.30 m. What is the kinetic energy of this vib7eus qo94fp *mm rv75ywat ta )x+nq87rating mass when it is 0.30 m from its equilibrium position?

  A 0.50-kg mass is attached to a sz uet5v 46t;uhy4k0qcpring of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonequky 0zuh c465t4 ;vtic 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 with amplitude of 4 cm. The energy is di+i7kck 3r lv74o*t3g h k8s5 vgsp6q8.0 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 the it7kkqplvsg k3o 7i4 dg85r sv+36c*hsystem now?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m alx; mru //*2s:;mqpv;qv q;jieyvx-goong a horizonta/;sv;m q;xj:gxeqryq;iu* vov mp/2- l, 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?

  A 0.50-kg mass is attached to a spring of spring con l/w s)ildggbx(s2)p;stant 20 N/m along a horizontal, frictionless surface. lb;/)ls p g)iw2d sgx(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 of a horizontavbpp hk kzv+gr0*(v5u r2yd2)l spring of spring constant 50 N/m and set into simple harmoni+ukyd zr 2vg)*0ph prvbv 2(5kc motion with an amplitude of 0.10 m. What is the total mechanical energy of this system?

  A 2.0-kg mass is attached to the end of a hori x/0y7:mtvbafzontal spring of spring constant 50 N/m and set into simple harmonic moba0m f7t: /xyvtion with an amplitude of 0.10 m. What is the total mechanical energy of this system?

  A mass vibrates backhjjsgzmi 7 4-b;jcj 5+5rwoj) and forth from the free end of an ideal spring of spring constant 20j mjj+45wh5i;bc- oz jj rg)7s.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 displa; 88ea7yftxb 1iu r0agced 10 cm from its equilibrium position and released. A frequency80r;ub8et7f y xgai a1 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 spricoz)n6dx44 1ml0ha hbdhn , ;vng of spring constant 10 N/m. The object is displ4hdda0hv6xl n4,;obm)c zh 1n aced 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 constant 10 N/m. +h rv uwdeqx7u fj:4,)k.n4zo:y.cpa The object is displaced by:,pnyrw) 7+fekxdoa:u qju..4 v4hc z
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, displa xssh du5 sw.-in;(y,xced slightly from its equilibrium position, and released. What.s xsxy( ,i;d-s wu5nh is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequency oj lsyjl;e555o5q*0 wgz79 zvkxthy2mf 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What is the maximum velocity attained by the mk 7j5ltjs9o;*z qh5zwgml 5exy0 2v5yass?

  Two masses, A and B, are attached to different springs. Mass A vibrate su u:+b6xemd.k -t/xts 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 the maximum spetkt6d.-s ebx/m x +uu:ed of A compare to the maximum speed of B?

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass 6kckk52 yn6ch(iy8nb v wc 7vn8y q-m: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 n c87kcmwbh8(k6 6-niyv2vyc:n 5kqyperiod of oscillation.

  A 0.30-kg mass is suspende;px+ )e vtd vbx*8xr;y,o jfj9ej1 ax*d on a spring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulledajb ;8jjxre *x v otpf+9)1vexx,; *yd 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 th8 nedl 2p(l e5(j n6leat6w(wje mass stretches the spring 2.0 cm downward. The mass is then pulled an add(neajd ell(nl56 ew8(26jw ptitional 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 posit3(whvd0 78yf)q 4if5ds a ctkltwn1;iion versus time equatio3 wvhkfi7naq4cti 0 wsd)8; dfyl 15t(n:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following position vem eq8tie7 +-1 qutqw1xrsus time equa +uqwi1me t87txq1-q etion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonisl5/jvon wdmdx* 2:e. c motion obeys the following position versus time equatd*vde.m 5sljo:w2 /n xion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of .d ukaduxixr7382s 1na spring executes simple harmonic motion according to3krx2u71 du da.nxsi8 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(b7/ma j:fonjn*yk4dj h; h x5 to spring with a force constant of 20.0 N/m oscillates on a horizontal, frictionless track. At t= 0,xka oj* hm7 ;(:jnb5f/nh 4ydj 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 com.1.u :2w 3vdm4fae;vxionq ix plete swings in 8.0 s. (a) What are its frequency and perv1oxa;4u: .vwfx. 2q3i eind miod on Earth?

  A 3.00-kg pendulum is 28.84 m long. What i nx w*, grr/v58 i+93mym9aygvg ftgu/s its period on Earth?

  A pendulum has a period of 2.0 s on Earth. What is its evw,3re3p(j /c l3v+ktwye5n length?

  The pendulum of a grandfather clock is 1.0 m long. What is its period on ruukx ,8(yc e ;ja9l w(/krq/ythe Earth?au8y9wkl,ykrux /ejq r((;c/

  The pendulum of a grandfather clockvt 5x *k51gzhjhoj *h, is 1.0 m long. What is its period on the Moon where the acceleration due to gz*h *k1hx,5 tojjg5v hravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attached to a mt) o3 latep4)uassless string. When the matu)o tp3a)e4l ss 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 a 20-g mass has initial angular displacemb m34 +5c)kk)3naq5d rei zxgment of 8.0e. Itk)z54gk ir e +b3c)35mdmaqxn oscillates 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 at a given time. The frequency of izy29bdr-w .i the wave w- d 9rbyz.2iiis 120 Hz. What is the amplitude?

  Figure 11-2 is a "snapshomn,yu4m8e ddb5jo at5dzy94 d)nt)1at" of a wave at a given time. The frequency of the wave is 120 Hz.d)d 94omdt4n)5 d u1jaaty5b ,e8myzn What is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at n.qq3y t/wy;8e;3mp hjmv4p aa given time. The frequency of the wave is 120 Hz. What is theeh 3qyjmnpm. p3/q; v48ta w;y wave speed?

  What is the frequency of a wave which has a period of 6.00 ms?tfbd jn k9 w:a44xuwx1e99: yj

  What is the period of a wave with a frequency of 1b/23t 8ss 8bcn e98f6 eopuyoj500 Hz?

  What is the wave speed if a 1hc1,fxnyw5 v wave has a frequency of 12 Hz and a wavelength of 3.0 ch1 wvy, 5n1xfm?

  What is the velocity of a wave thaq qv8v w)t(fi1sv+wr.spj(( et has a wavelength of 3.0 m and a frequency of 12 (((w1wve .)s fjq+ svivpqt 8rHz?

  What is the frequency p ho:dbl cg9vh).m zi9-d)bl)of a 2.5 m wave traveling at 1400 m/s?

  A piano string of linearkbawm 0 4ogu0xqwl: sd r++:t2 mass density 0.0050 kg/m is under a tension of 1350 N. What is the wavetdax:4+ +kbu0s 0mwg2qwl ro : speed?

  A string of linear density 6.0 g/m is under a tension of 180 N. Whag: fq3yn,rgrq;;5ey zt is the veloc;r ye,g;rf gq:nqy 5z3ity of propagation of transverse waves along the string?

A wave whose wavelength is 0.500 m is traveliil3f93 xl jb6vi2njx1rsg 98hng down a 500 m long wire whose tot8jfgl23bijr x1l 3n969vs hi xal 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 a transverse wave on a 2.0-m nqat ; 6 tfl9;z4b1/6 5avqyj oys;ziqlong string fixed at both ends is 200 m/sbz; 1l y;6ny af6aj94q5tqv oz/;tsi q. Which one of the following is not a resonant frequency of this string?

  If a guitar string has ap0(j -u/9(n n;si,/xxkyi bop nf(jdl fundamental frequency of 500 Hz, which one of the following frequenci,ifo9 x(k n bnnu0y(jx/(p id-spj;l/ es can set the string into resonant vibration?

  A stretched string is observed to 3f vgrp) 7ch+q(z4slfgn ;.cf have four equal segments in a standing wave driven at pggc7;(nrhcfz3q . +s)f 4lfva frequency of 480 Hz. What driving frequency will set up a standing wave with five equal segments?

  A string, fixed at both ends, vibrateo5gs,nify / . ib-tab:s at a frequency of 12 Hz with a standing transverse wave obi na y i.g-/f,t5sb:pattern containing 3 loops. What frequency is needed if the standing wave pattern is to contain 4 loops?

  A string of linear density 1.5 g/m is under a tension of 20 N. What s x, +ggiqsl 7c1z-uxa0hould its length be if its fundamental resonans z+cxuaq l 1,-g7g0ixce frequency is 220 Hz?

  Find the first three harmonics of a string of / 4b5au*4j *4tzkg d lifjsw3olinear mass density 2.00 g/m and length 0.600 m when it is subjected to z l5tfuj 4/kd 4*j34*ioabwg stension of 50.0 N.

A string of length 2.5 m is fixed at both ends. When the string vibrates at a , g;i i;gfchl)ne1*x pfrequency of 85 Hz, a standing wave witgce ;gi, *x) hlipf;1nh 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.