The time for one cycle of a periodic process isjq.6s4oz x.(u52 s iwlttx nm6 called the

  For a periodic process, the number of ,*be)awy v/ occycles per unit time is called the

  For vibrational motion, the maximum displacement from the equilibrium point i99ro evf,1t3ueu:qyuh1wb )y s ca9yu,1y9webev ur 1ufqo)3:th lled the

  A mass on a spring undergoes SHM. When the mass is at its maxi nmsjg,c-lw07-a8 cv bmum displacement from equilibrium, its instant- abs8g7cln,mj-vc0waneous velocity

  A mass on a spring undergoes SHM. fg t3. +laib8h When the mass passes through the equilibrium position, its instantaneo+i8 bt3hag. flus velocity

  A mass on a spring undergoes SHM. When the mass is at maximum displacement ha4m+84 g.3ryi .j .6cmadauk utmn-ufromk chur3 8 .a amt.6j. +4unmygi-4daum equilibrium, its instantaneous acceleration

  A mass is attached to a vertical spring and bobs up and down between pointsl k. c d8;/zz.*5 xfdowjmt: q2qrldkm:k4.re A and B. cw2 lqj4fk: xrrke*.:dmltz5k;..dmd/o 8qz Where is the mass located when its kinetic energy is a minimum?

  A mass is attached to a vertical spring and b zgdaqj-h-bu2 +33hs gobs up and down between points A and B. Where is the mass located wh- zjh3u -+ad2 ggbsq3hen its kinetic energy is a maximum?

  A mass is attached to a vertical spring a ;phd fc7.:cjand bobs up and down between points A and B. Where is th 7jap c.cdhf;:e mass located when its potential energy is a minimum?

  A mass is attached to a vertical springltwyg9s *. +jg and bobs up and down between points A and B. Where is the mass located when its potential g.9w ltg+sjy*energy is a maximum?

  Doubling only the amplitude of a vibrating massnt0o - shg-ud3r0eir3 -and-spring system produces what effect on the system's mechage -0rdns-o3ut i03hrnical energy?

  Doubling only the mass of a vibrating mass-and-spring system pt1tez6qo l7(yroduces what effect on the system's 1lq(z6ty o 7etmechanical energy?

  Doubling only the spring constant of a vibrating mass-an8dvr-4 (j+-humbuk xm d-spring system produces what effect on the system's mechanical ener hxj dkrbmu+um-4 8v-(gy?

  A mass oscillates on the end of a spring, bothfcb19)erdn1bmn b sueo +/-c4 on Earth and on the Moon. Where is the period mc/9u-bs+o rb14 )ebf cd1n nethe greatest?

  Increasing the spring constant k of a mass-and-spring system c 6xma/jvb:vdl4(fd h4auses what kind of change in the resonant frequency of the system? (A flb xj(havd4v4/md :6ssume no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system cah6m cm-)/,w 91(ar0.jv fg ufz*komusb l,lqauses what kind of change in the resonant frequency of the system? (Assm(1faglb,j,m- 6 u0*fcsqwo rkv u/) 9 zh.amlume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system causes what kind of change 5 q*lx d:icwn r)qt(4din the resonant frx dw nd(l5ic *)tq4q:requency 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 k,f84 zu u,lacstring of length L. For this slu,,u c4f akz8ystem, when undergoing small oscillations

  When the mass of a simple pendulum is tripled, the time required for onfs- g+ej .rz -k4qclh:e completjfclhs q -4:. -krge+ze vibration

  Both pendulum A and B are 3.0 m lps.d;lnkp,z* ;vc ke*ong. The period of A is T. Pendulum A is twice as heavy*p.cldn*skvz e;;,p k as pendulum B. What is the period of B?

  When the length of a simple pendulum .789.6wt fdeqxvd l 0fzjv.eq mq),te is tripled, the time for one complete vibration increases b .,eqd9.0fzm.eqq jwx768)v ttdlevf y a factor of

  What happens to a simple pendulum's frequency if both its length and maduyd .2yl5 ,jkss are increas.lydk5ydu j ,2ed?

  Simple pendulum A swings back arbev p;9 rrv*,oqh(lset e)+i o*zn35nd forth at twice the frequency of simple pendulum B. Which statement is +r)bel;o,59vzvhn( e qior* etsr *3pcorrect?

  If you take a given pendulum to thee4+e bibxqq:bi*9c r 0 Moon, where the acceleration of gravity is less than on Earth, the res9bbeeq i0 rq: xb*4+iconant frequency of the pendulum will

  Curve A in Fig. 11-1 ref)hmx pd-jzjwg(7o.* r g8s 5jpresents

  Curve B in Fig. 11-1 repr(* zdx/j.ypf5*byg k;qfiar 8esents

  Curve C in Fig. 11-1 x 6363we/0pdy 1y pihwedtm0s represents

  For a forced vibration, the amplitude ovh, /aullpa0 v boc:9tt 391bft27qgb /dv aa,f vibration is found to depend on the

  In a wave, the maximum displacement of poineuaa(tu) k1n h5o 8sr9ts of the wave from equilibrium is calledhauoreu1 9 )s5kta(n8 the wave's

  The distance between successive crests on aiy: c*lj .p m27ku8 cr9bjib*j wave is called the wave's

  The number of crests of a wave passing a poiimf q5x-cxe)6hm0qs0 nt per unit time is called the wave' e-)fh0i6 5qxmqcms x0s

  For a wave, the frequency times the wavelengthc 0c0 xba1 jvgymh)xws+i:7;p is the wave's

  The frequency of a wave increases. What happenskrw95.wob- srf/ ,q gz to the distance between successive crests if the speed remains constan b qozwwr sf/-.rg,9k5t?

  A wave moves on a string with wavelength l and frequa)n)i63i 3qt9ioq6p9ktkd bcency f. A second wave on the same string has wavelength 2l and travels with the same velocity. What is the f33pn qt6ic)kbdao9i q9i6tk) requency of the second wave?

  Consider a traveling wave on a string of lengt1f qtx rz18m)rh L, mass M, and tension T. A standingt8qrf)1mxz1r wave is set up. Which of the following is true?

  A string of mass m an86+ d 6l0al6 irkpojzvd length L is under tension T. The speed of a wave in the string is v. What will be the spee ll6ak8i+6d6 j0orz vpd of a wave 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. The speed oglw , 2;/ilslril2i.lf a wave in the string is v. What will be the speed of a wave in the ;/l il2llrgl w s,2ii.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 wave in thec,v a)b9,ji+hbfv kdyw vci/.t,(v)z string is v. What will be the speed of a wave in the strib/vi t,(z,i+b,jdv) w.v) ycc vhf9a kng if the tension is increased to 2T?

  In seismology, the S wave is a transverse wave. As)mnw2k2-+(/rz7ccs vc mrqy k an S wave travels through the Earth, the relative motion between the +wz7(mvymrn 2c-/2ck sqck )r S wave and the particles is

  In seismology, the P wave is a longitudina 5dtm54g . cmaw*w/uvhl wave. As a P wave travels through the Earth, the relative motion between the v5t/hc*mdgw m54ua w. P wave and the particles is

  The intensity of a wave i/ ix(h(hj rh9ns

  A wave pulse traveling to the r /5ypsm8cbmw3:s :ralight along a thin cord reaches a discontinuity where the rope becomes thicker and heavier. What is the orientation of the reflected and transmitt3bmasp/s 58:r:m wlyc ed pulses?

  Two wave pulses with equal positive amplitudes p gnsu :ui-ho49ass each other on a string, one is traveling towargu:n4 o 9hui-sd the right and the other toward the 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 traveling toward;5h va 2 ni0xlqfxtn60 the right has a positive amplitude, while the one traveling toward the left has an equal amplitude in the negative direction. At thevnlq6ft05 ;xx i0ha2n point that they occupy the same region of space at the same time

  Resonance in a system, such as a string fixed at both ends, 5zfec c,7u w2zr7qw),, 9olgatyxt,xoccurs when

  If one doubles the tension in a violin f3;cstrlw/j3 string, the fundamental frequency of that string will incretfsc3/w rl3j ;ase by a factor of

  What is the spring constant of a spring thngtkv5-vz uqxly :m 3kc((k1)at stretches 2.00 cm when a mass of 0.600 kg is suspended frl(-vn( 1 x)5tkqu:m3k yvzkcg om it?

  A mass is attached to a spring of spring constant wmh2 yhf3a+luv zg70d);j0jo60 N/m along a horizontal, frictionless surface. The spring is initially stretched by a fmoh);hz7a 03+ uj2g fd j0lvwyorce 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 a spring of spring constawk-a9v7cygd0/34 an lv1c l(xy vd0junt 60 N/m along a horizontal, frictionless surface. The spr -w/ 4lv 9vjxl( ud1dvya370y0ngkca cing 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 spring constant 60 N/m all6ua((;,xth .c)oyke v do)c vong 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 eq,v(xd6;evc)c a.y u( o ht)okluilibrium position when it is oscillating. What is the frequency of oscillation?

  A mass on a spring undergoes SHM. It g3c;y9qr4sdw sk g.: nnoes through 10 complete oscillations in 5.0 s. What is the pe :srcky43q ws 9g;.dnnriod?

  A mass vibrates back and foywj6a:b7 y :ep4c u7aorth from the free end of an ideal spring of spring constant 20 N/m with an amplitude of 0.30 m. W7 ep4uybo7:yjw ca:6a hat is the kinetic 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 aruaufiy u:;k- +1 i7dp horizontal, frictionless surface. The object oscillates in simple harmonic motid ;u+1ufi k-pyr:u7aion 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 8.nh , g8k4igqcn;o*x/;ada9 y w0 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 system nown*ga;odw/,q9 ckg4 iy8 a;n xh?

  A 0.50-kg mass is attached to a spv993 9kugv b) an2se sb*p2/xw3oby bhring of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has b9v*ogy2buwpb9h33) sv/9 e b nx2skaa speed of 1.5 m/s at the equilibrium position. What is the amplitude of vibration?

  A 0.50-kg mass is attachedt kf cjk-cyjv5 e9*4s1x6wgu - to a spring of spring constant 20 N/m along a horizontal, frictionless surface. The object oscitejk k* sy5cv6xj1cf -4wug9-llates 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 attyh9lis3,:z.r tf8 p gvached to the end of a horizontal spring of spring constant 50 N/m and set into simple harmonic mo i9p8t:,hg3r lz.fsyvtion 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 horizon tef,vg1j0p4 ztal 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 systzjtp,04e 1fvg em?

  A mass vibrates backpd;0mi2q yzx x +9xu0i and forth 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 of this vibratin0uxymq; 9piidx +0 z2xg mass?

  The mass of a mass-and-spr xxyanh::/g3sing system is displaced 10 cm from its equilibrium poss::ha3 g/xny xition 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 spri.bm0sv +oqe)ugy o /p(ng constant 10 N/m. The object is displaced(mpyq 0b.ue sv+ o)og/ 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 consta8p0vz4e(c7lhqvun( n8gj +xznt 10 N/m. The object is dispcz8(l j7np heuv4zx+q0 v(gn8 laced 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 mnfy rz0 8t1l1a spring of spring constant 18 N/m, displaced slightly from its equilibrium position, and released. What iy8m01r nltf 1zs the frequency of its vibration?

  A mass is attached to a spring. It oscillat :.lte1ahgj b58upn1 z7 zf,bbes at a frequency of 1.27 Hz when displaced a distance of 2.0 cm from f1 z .nalpz g5b8e1t,7jbubh: equilibrium and released. What is the maximum velocity attained by the mass?

  Two masses, A and B, are agvy- ;ua x6kypcn+pipy48 t,m tw14c6ttached to different springs. Mass A vibrates with amplu6+-p; t6 ktc48ap1cmyn pywv,ixyg 4itude 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 on6cb8c. t6p,h0lg + gspfj6cii 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 rest. Calculate the perp i,gltg sfjh +i66 6c0b8cpc.iod of oscillation.

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass strejo;i 1e c:dia;zmr7mv-t;sx, 1r/dle9vekh.tches the spring 2.0 cm downward. The mass is then pulled an addititr1iies d/ ehv 7jm 9,d m ecl;xk:vrao;.1;z-onal 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 thpawttoo4 14 9 ,nq7/ 6ljvmv pf96pamae 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. W7lp6499mwo attaaj4vqm nfvpp6, /o1 rite down its equation of motion.

  An object in simple harmonic motion obeys th(37; h9 b(j ,ct vt vw67(andphmowwqve following position versus time equat t79 ht; c 6(pnhao,qv(7vj(wdvwb3wmion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the follow8 47ox0v agcening position versus time equatv 0oane478xg cion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following position versus toah2y;h ogdg7(1kwl 1ime equation ;ow1ka71hg gl2hod(y:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executeso+(useano 3 y c0q. 2jkwksbya25tp 9/ simple harmonic motion according to theu5s(3q2k/2ja9yt.wsabo k 0 nc+p yeo 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 to gr04 vkhx+lfvf6: qu, 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= 10.0 cm. (That is, f6g xhr4 ql+kf,vu:v0 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 comxhq h lnjd6,tan8olt *8tl9,2plete swings in 8.0 s. (a) What are its frequency and perionjt89x ol8,tt ,h6ah2l *dnlq d on Earth?

  A 3.00-kg pendulum is 28.84 m lonm1 fif lyf9:tyx8t1q1g. What is its period on Earth?

  A pendulum has a period of 2.0 s on Earth. What is it45c25 od zq o.jxo(gr3oim5 yp/oz r3cs length?

  The pendulum of a grandfather clock is 1.0 m long. What is its period on the 3b 7h54 z3o*vobj ckvlEa3lb3 ob5h4zkv voc7j* rth?

  The pendulum of a grandfa h)5(m-sifg2sg4y*ki *wc f bkther clock is 1.0 m long. What is its period on the Moon where the acceleration due to gravitcg)b* sf*i kh5fs2gi(y-m4wk y is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg sphe-+g(xxt ,ezioz1qo 7erical mass attached to a massless strio xtz+- zo,gxi1q7 (eeng. When the 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 a 20wep8 6t z,cb7,js;mxb-g mass has initial angular displacement of 8.0e. It oscillates with a period te6sw7z jp x,;,8c bmbof 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 freqjhnfu/mfzi:yl;r .7 *uency of the wave is 120 Hz. What :n/h.fuyj *; zil rm7fis the amplitude?

  Figure 11-2 is a "snap6ljne (i-t2csr2f 1r dshot" of a wave at a given time. The frequency of the wave is 120 Hz. What is the wavel1- til6c es n(2r2jdrfength?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frvh4x,.6ce8s og. w8rb uuqgh4equency of the wave is 120 Hz.hs.448geco,h wu.bx8 vrgu6q What is the wave speed?

  What is the frequency of a wave which hmvwt e:qvr075 1kp li.as a period of 6.00 ms?

  What is the period of a wave with a frequency of 1zbse4psb 5v5i9u e*( 9.ejcs*fqngw 2500 Hz?

  What is the wave speed if a waveh; po+v cpbzlw8o8y(4(jf9 on has a frequency of 12 Hz and a wavelength of 3.0 49l;hzn+ob8p vp o(wj (8ocyf m?

  What is the velocity of a wave that has a wavele3dpzu1y2m t1f qgq1j- wgt+t-ngth of 3.0 m and a frequency of 12 Hzt+dtgq- 13 m2zwy-q1t1gpf uj?

  What is the frequency of a 2.5 m wf 4mlyr j :2k.ao9 ,5g,whnq ead0rx+xave traveling at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is under a tension of 1350 N. sx0u.lvll2 c 4mtd1u( What is th2ts cux(vl4lml d10u.e wave speed?

  A string of linear density 6.0 g/m is undeha5 zta9 fx;rbb5mw;8t*.g.9 nk2 uz,lgydepr a tension of 180 N. What is the velocity of propagation of transverse waves alo* b e g y p;tr k5xdz.t8u9anbg;5hlw.fzm9a,2ng the string?

A wave whose wavelength is 0.5dox(ip r) mgb2f(-2( na-uwch00 m is traveling down a 500 m long wire whose total i-()a(dm2ugpw ob h -(rnx2fc 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 long strifb( )yu)a*qgr;ub)j(8 a +eoybrs: fjng fixed at both ends is 200 m/s. Which one of the following is not a)f) :ay8; jue*gqb bbu)a j( y+rorf(s resonant frequency of this string?

  If a guitar string has a fundamental freqz5ke 8b- :j2pk f7fuwtl 3imc+uency of 500 Hz, which one of the following frequencies can set the string into resonantfk 5cp 7if-3kw z bu:8+2mltej vibration?

  A stretched string is observed to have four equan;mej.b-j v-jl segments in a standing wave driven at a frequency of 480 Hz. What driving frequency will set up a standing wave with five eqn jm.ejv ;b-j-ual segments?

  A string, fixed at both ends, vibrates aw6: gvxytno-2h bb/ s 6k/x fbh4;r+bxt a frequency of 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency is needed if the standing wave pa bbk /2:tr6+bwxfgv4on-by/hxx sh;6 ttern is to contain 4 loops?

  A string of linear densix:s 6-iic t)h lhys2r;ty 1.5 g/m is under a tension of 20 N. What should its length be if its fundamental resonance frequency is 220 s hrs6-ti; ic:h)x2ly Hz?

  Find the first three harmo0-kc g7+ 09urz jhqy:ar;k wrxnics of a string of linear mass density 2.00 g/m and length 0.600 m whwxuk: -0 ;ycrk0+hj9z qr ra7gen it is subjected to tension of 50.0 N.

A string of length 2. -bq c wwlnh6uyo5p;9i3, g/hw5 m is fixed at both ends. When the string vibrates at a frequency of 85 Hz, a standing wave wit/5-h6ylbw9 3h cngwowu,pq;ih 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.