The time for one cycle of a periodic process r(o t9c-: iqn9emot-xis called the

  For a periodic process, the number of cycles per unit tpwz t. xufjne90.q/akb)6-p e ime is called the

  For vibrational motion, the maximum displacement from thn0 8n /(;:b pzsyzbkgarzxkd eke:/ 3/e equilibrium point is callek;enkab3yngr z8d( k/0bp z/z: es/ x:d the

  A mass on a spring underg r enz a/- fl-ko)s)pgb3+)hkgoes SHM. When the mass is at its maximum displacement from equilibrium, its instantaneous veegnboskfhpa l+ 3k/) z)) --rglocity

  A mass on a spring undergoes SHM. When the mass passes through the equifw6a9ln,5-11 sfi ji smbh3kilibrium position, its instantaisffm l1kjhb1,9si i6 wa-3 5nneous velocity

  A mass on a spring undergoes SHM. When the mass is at maximum disptc+ qx*)v 4oetlacement from equilibrium, itsq+ox e)ttv*c 4 instantaneous acceleration

  A mass is attached to a vertical spring and bobs up and down bkvmk 63ae6 m2ietween points A and B. Where is the mass located when its kinetic enerk mve2i6a6m3 kgy is a minimum?

  A mass is attached to a vertical spring and bobs up and down betwee8a 016ujy5bs07kwkg bs/ :xfxv o 4fwdn points A and B. Where is the mass located when its kineticskvf xo xj 5b0 /4bfu10s67dkw ywg:a8 energy is a maximum?

  A mass is attached to a vertical spring and bobs up and do4.ka.97 qa eesoax o7hwn between points A and B. eaa7 ehxs74o 9.koa q.Where is the mass located when its potential energy is a minimum?

  A mass is attached to a vertical spring and boba n8bw;nt pjz0y6i,+;e*2sq (axdrq ds up and down between points A and B. Where is theddjq8; y+sa*t 2r,nn6b(; x pea0izq w mass located when its potential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-ta tn 8p-i(4d4*ep49g gxxypeand-spring system produces what effect on the system's mechan*nxppd(egy-9gax4 t84t 4pie ical energy?

  Doubling only the mass of a vibrating mass-and-spring system produceji6 /xkhf6;i8cz8v)y: myines what effect on the system's mechanical energyez8jmi/:h6x cviy) 6f i8n;ky?

  Doubling only the spring constant of a vibrating mass-and-spring system produces+/plz:t3nv hj what effect on the system's mechanin j/vl:3+zpthcal energy?

  A mass oscillates on the end of a spring, both .ml p8moojcpns8 94(jon Earth and on the Moon. Where is the period p o mo.98npj(jc4l 8smthe greatest?

  Increasing the spring constant koi/oi( h0uf8a of a mass-and-spring system causes what kind of change in the resonant frequency of the system? (Assume no change in the system's mass m.)(80iuaih/ of o

  Increasing the mass M of a mass-and-spring system czut---fzjd kg(2b v+ ic(qh o4auses what kind of change in the resonant frequency of the system? (Assume no change f t2d -(qhu-(k-+ib gojzc4zvin the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system causes 0* qf/yye2shu2uy r:e *5kbbs what kind of change in the resonant frequek*ysysb /*h02fu2 yqub5er e:ncy 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 wed0wqw .)dnlt(tp fl1)ightless string of length L. For this system, when undergoing small oscillalt 1lwtqp )n.)0 wfdd(tions

  When the mass of a simple pendulum is tripled, the e zwh2- f/ilc9time required for one complete vibw-ielz/ 9 2hfcration

  Both pendulum A and B are 3.0 m ly nqa8aa7xos*:dg duduad u *8/ev408ong. The period of A is T. Pendulum A is twice as heavy as pendulum v dxn* 8aad 0 u4qegay:d*/us d78au8oB. What is the period of B?

  When the length of a simple pendulum is tripled, the time for one complete .9t.(mt6injf3e khq fvibratimfth j(kefqi. t.3n6 9on increases by a factor of

  What happens to a simple pendulum's frequency if both its length anduv ejdib5 oe-ug) (2)j mass are incrvo(jei)52jdge u -) bueased?

  Simple pendulum A swings back and forth at twice the frequency of simple penduluhe: biua-q+) ei,9iidm B. Which statement is correctbh)e: i+ d ieiqi-,ua9?

  If you take a given pendulum o0s de.l4gs aqahs3/6to the Moon, where the acceleration of gravity is less than q /64sd eho30alas .sgon Earth, the resonant frequency of the pendulum will

  Curve A in Fig. 11-1yq ayw 0)x*; o)ck)iy pwzjj;9 represents

  Curve B in Fig. 11-1 represeq p8iisv v 4rw,4fnx;0nts

  Curve C in Fig. 11-1 represen/ kp 7yrrbdjia;3/bp3ts

  For a forced vibration, the amplitude of vibration is foundmu4 1 xn.pc,mj to depend on the

  In a wave, the maximum displacement of points of the wave from equilg/x0k.6oh *kf9z6r u4fihgdx ibrium is called the w0go /hh.k g6xxk4fuf9i*6zdr ave's

  The distance between successive crests on a wavmx++potq**wl8t/k5yv( l)p3 +w*z pr v ozptqe is called the wave's

  The number of crests of a wave z d*h35 elnsr4passing a point per unit time is called the wave'srneh s5z*d4l3

  For a wave, the frequency times the wavelength is the wavelkkn8dy1d d+9*u, yhi2o sm4l's

  The frequency of a waveqn q fi,rnwh+6 fm4*(t increases. What happens to the distance between successive crests if the speed remains constfrnh ni, 4tw6( f*qqm+ant?

  A wave moves on a string with wavelength l and frequency f. A second wave on th h a6qlrx( a zw53;+dpxfv1d/ze same string has wav(3zf / z ;wddlxr+q5xaha16vp elength 2l and travels with the same velocity. What is the frequency of the second wave?

  Consider a traveling wave 9hswqg6s( *fn hph)(zon a string of length L, mass M, and tension T. A standing wave is set up. Which of the following6hw (ssz(ghnfh 9pq*) is true?

  A string of mass m and length L is under tension zrx(k ao,xu. 3jjz1 0sT. The speed of a wave in the string is v. What will be the z1jj a ,zu03(xskrx.ospeed 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 tensiow48 2p5yv;4s :f bumm3zbphgqn T. The speed of a wave in the string is v. What will be the speed of a wave in84puyz5 3fh24vpbs; g wmbq m: 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 spe 9emoz1qqj p yli .jpze:m;db /95c56yed of a wave in the string ij9;.6 5j e zqz9:yp 1pim5cml/e odbqys v. What will 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)-ta4 eqswb(e2/ih z ohf5j9 y S wave travels through the Earth, the relative motion between the S wave and the particles 4yh9a i2o/ftq-s5ewjezh b () is

  In seismology, the P wave is a longitudinal wax4 mr 1jxo) g,5s s8 rfvae,y1t+njxf*ve. As a P wave travels through the Earth, the relative motion between the P wave and tnj4yv+ff*xt 1 1exmgs o) ,r5s,ja8xrhe particles is

  The intensity of a wave:2pp4,bbq0bcry.cy11a yu wa r mm;, y is

  A wave pulse traveling to the right along a thin cord reaches a discontp:ui /emu8 yjku sp,ys((7oeo3-d : mtinuity where the rope becomes thicker and heavier. What is the orientation of the im8-dkp,:(e: ym(y7spj o us teuu/3o reflected and transmitted pulses?

  Two wave pulses with equal po9 21tm0 hg* hjx0od1to/kopg vf,k/i pxuj s7+sitive amplitudes pass each other on a string, one is traveling toward the right and the other toward tk01 t 0s9tpx1 *o ogj2xp+f,mvh/ogdu7i kj/h he 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 traveli+mfiyrg6fw-et. m9,mi / i:e rng toward the right has a positive amplitude, while the one traveling toward the left has an equal amplitude in the negative direction. At the po,tgriw:/+ em mrf.e - iim6y9fint that they occupy the same region of space at the same time

  Resonance in a system, such as a string fixed at both enjbjcw t 81dhsw1(,b4z ds, occurs when

  If one doubles the tension in a violin string, the fund2bz(:ing: m:bhnojm2a8 ; uexamental frequency of that string will increase by a zie b:u2n2(hb::;xma nj8mg ofactor of

  What is the spring constant of a spring that ;9wyf+g45k pnz9 lkqu stretches 2.00 cm when a mass of 0.600 kg is suspended kzlk4 fu5q+ ;g9p9 ynwfrom it?

  A mass is attached to a spring of spring cokoduo5.h/7. mw s gw8ax6ks:hk; ks9nnstant 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 kw9um h gno.a7: k8;ssk/do6kxs h.w5go. 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 constant 60km) izf.x- t-h 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. i)xm kfh--zt it is oscillating. What is the period of oscillation?

  A mass is attached to a spring of spring consgnum( 5lx 2s2 ;qlr*dxtant 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 posxlu 2(mxr l2; 5d*nqgsition when it is oscillating. What is the frequency of oscillation?

  A mass on a spring underg2azhoc3nx *4 hoes SHM. It goes through 10 complete oscillations in 5.0 s. What is the pernh4ah2 zo3c x*iod?

  A mass vibrates back and forth f-;s(ss kuaon*;la tqh)w (bf4 rom the free end of an ideal spring of spring constant 20 N/m with an amplitude of 0.30 m. What is the kinetic n4-)klsu(sfas;;*(wat qo bh 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 a hor; rx+*ytc4 e 9d1piuaf,1u7a ,/ ygl*l pbfmeuizontal, 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 t+/ ,t1uax7ufcl* ;pl*u4bfg,d9pyam eyri 1 eotal energy of the system?

  A mass undergoes SHM with amplitude of 4 cm. The energ/vak v 9kl 7)m+smwf;ay is 8.0 J at this time. The mass is cut in half, and the system is again set in motion l/7vavmk;wa+ m 9f s)kwith amplitude 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 along a horizongytua a,w2o2 2tal, frictionless surface. The object oscillates in simple harmon2a22auy g wto,ic 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 toupr: ;ddplts4nb3u 5) a spring of spring constant 20 N/m along a horizontal, frictionless surface. The obje5us d43nr :)lpudbt ;pct 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 ae7s dc fy3;4orr *abq r-2/vlg horizontal spring of spring constant 50 N/m and set intrb /avc3regsyq r-o l d;f74*2o simple harmonic motion with an amplitude of 0.10 m. What is the total mechanical energy of this system?

  A 2.0-kg mass is attach dzb1s wb3*tm66n.t:rn7wl 0 omr5cd yed to the end of a horizontal spring of spring constant 50 N/m and set into simplm73yd0 6 5 m6bb nt.rstn1cwzo*r:dw le harmonic motion with an amplitude of 0.10 m. What is the total mechanical energy of this system?

  A mass vibrates back and forth from the free end of an imuwq6/:9 s)ehnaaf4:w c(ye wdeal spring of spring constana e:)m af6/4w9ecw(yqsuw: nht 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-springyxa*vd-8j9ai bj:5 b j system is displaced 10 cm from its equilibrium positjv - xy*aib a89jb5:djion 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. Th c rvq:r5b87vne object is displaced byvb5:v7r8nq rc
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 o6v7+n4 oa+o g2dgc/xsvsf;bs f spring constant 10 N/m. The object is displaced by+n2xcv 7bosa4+ gfvo ssd;/ g6
5.1 cm from the equilibrium position and let go. What is the frequency of vibration?

  A 2.0-kg mass is hung fro5qihca e4jm*z ;6 u2zwm a spring of spring constant 18 N/m, displaced slightly from its equilibrium position, and released. What is the frequency of its viba4ich jmu q5*z 2w;e6zration?

  A mass is attached to amzbre..4-0sd;7jyiwriy en ( ib5y z: spring. It oscillates at a frequency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What is the maximum velocityzrrdy(w.70sb-. zyy:eiim; 4 ej ni 5b attained by the mass?

  Two masses, A and B, are attached to different sn ma,,wg. p9kl14oi/ 6mavd ofprings. Mass A vibrates with ampm, da.694pmog1fivo nalw /,k litude 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 on a spring. In equilibrium the mot8e: ( br gtqm14t/z6zlq(f9 n(qumwass stretches the spring 2.0 cm downward. The mass isqtgmqt/ :(e o mrn8u9 (zlbw1ft z(4q6 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 stretches t rqzr3/p /z39atwtwfyw/;ynr.l1s3 jhe spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and released from rest. Calrws 3lpqt 3ywz/ra/ ft1/w;3 y9.jzrnculate the total energy of the system.

  A 0.30-kg mass is suspended on a spring. In equilibrium the ma+4p q u6qpa. pwffs/3uss stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and released from rest. Write down i3 u/f sp+qp4.6 uapwqfts equation of motion.

  An object in simple harmonic motion obeys the following pos/ 6iv:tqy;c(,ywtrcf1(v ybl ition versus time equation:,;b r( tcqty6/(1fwvv:li c yy
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmo +d/4nt5s2/ wdexsw,.fl ulov nic motion obeys the following position versus time equation: 5/,2/+v.w dsenulwfdoltsx4
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic7mvl:e,datdi +9s b,i motion obeys the following position versus time equvitadmi7d:e9l,b +, sation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a sprx5-8 yo*ynzbxbze817) p o mfeing executes simple harmonic motion according to thenyb 7zpm18xfe8y oxze5o-*)b 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 spring with a force constant of 20.0 N/m 17qzi,xax ecwxmlys 4m ss2 /gt24+,o oscillates on a horizontal, frictionless track. At t= 0, the mass is releasedl7 y wt+4x,g 2sz2mo sei4,a xq1mscx/ 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) What are its frequency16 ru8t ok6rkf and period on Earth18rf tu 66rkok?

  A 3.00-kg pendulum is 28.84 m long. What is its period on Eaa+iy pgvru 4l;k6 x3(prth?

  A pendulum has a period of 2.0 s on Earth. What is its lengthi bza3wr6;/(tdiff :f?

  The pendulum of a grandfather clock is 1.0 m long. What is mdhjnneg:6w 6x+3zl5a66f gv ; kmc8ryf6 3 nkits period on the Earth?ygan 6 63f6gk3 :m;+8mwdrchxlfnn5zev6kj 6

  The pendulum of a grandtd(i 1r r4ozsy3(qoo 8q- n,effather clock is 1.0 m long. What is its period on the Moon where the acceleration due to gravity is o qqorz3(t o8r do-1 nsyei4f,(nly $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attache8xo4zqk8 jkx.x bi+u/d to a massless string. When the mass is displaced slightly from its equilibrium position and released, the pendulum swings back and forth with a frequency of 2.0 H4qb8z./iux kxjxo 8k+z. 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 initt;j 9yl:tty,53jki in -cqbb4ial angular displacement of 8.0e. It oscillates with a pb ; ib4t,nq9 5-lcjjy:tit ky3eriod 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 42h ,yfd;xr-pqty 0c bat a given time. The frequency of the wave is 120 Hz. What is the amplit ;drh yyq,f ctp4-2x0bude?

  Figure 11-2 is a "snapshot" of a wave at a given timji3an,q:le z- e. The frequency of the wave is 120 Hzqnzel:ji a -3,. What is the wavelength?

  Figure 11-2 is a "snapshot" of a w(3qwiag- .*ja t qtm/xave at a given time. The frequency of the wave is 120 Hz. What is the-qt t3*a wqmjg/.(xai wave speed?

  What is the frequency of a wave whichyuz2m 2u+d 9qx has a period of 6.00 ms?

  What is the period of a wave with j9jiouu9w ,a-a frequency of 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz and xn8yansdr .st 4--+4ohqzj t2a wavelength of 3.2.nsyox-jdt h qnzt 48+ars 4-0 m?

  What is the velocity of a wave that has a wavelength of 3.0cee-t3t tj*(e m and a frequency of 12 Hz?e(3e* tt -tejc

  What is the frequency of a 2.5 m wave traveling at 1400 m/b hwx(ypq38+c 0 heh2es?

  A piano string of linear mass density 0.0050 kg/m is under a tension7wu)bgcwdtyj2)5a31 yms up3 of 1350 N. What iuy))1asw 5 t3 cjugd w7bmy3p2s the wave speed?

  A string of linear density 6.0 g/m is under a tension of 180 N. What is theay-0rsgvhr2(tr5k vmf, 8,i c velocity of propagation of transverse waves along var52h,rr-skt (f0y,vm c8 githe string?

A wave whose wavelength is 0.500 m is tyqv a k;) x*1v* q6e3ar:zltclraveling down a 500 m long wire whose total masxle 1 rkvq3tz*y*6 v;aaqc)l: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 transverse wave on a g7j5ez5u1eaq5, 0v9q oz h rsm2.0-m long string fixed at both ends is 200 m/s. Which one of the following i zj0oq5,gs 1q zvaem9hre5 u57s not a resonant frequency of this string?

  If a guitar string has a fundamental freqm xp4 n/sumx:lb1twu-oi759muency of 500 Hz, which one of the following frequencies csmolt mu-9biu /7w n:1p 5mxx4an set the string into resonant vibration?

  A stretched string is observext iu :6l6ik3vd to have four equal segments in a standing wave driven at a frequency of 480 Hz. What drivingvit 6ik:lxu63 frequency will set up a standing wave with five equal segments?

  A string, fixed at both ends, vibrates at a frequency of 12 Hz with a standing ttjdq p0hyt0.;0:4 wn,r pico fransjn0wp ;.p 0 4c: otqrytd0ifh,verse wave 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 20r.yl:lb 4gmh; N. What should its length be if ilg. 4hyl r:;mbts fundamental resonance frequency is 220 Hz?

  Find the first three harmonics ofdeytn. .y:w/tthmk+-u 1 z8td d3v sq3 a string of linear mass density 2.00 g/m and ldyzv. 1kyht+.s3t eu /t: 3td8mdwn-qength 0.600 m when it is subjected to tension of 50.0 N.

A string of length 2.5 m isii*;pq n184(a s 5uz 29itamht7qcgxb fixed at both ends. When the string vibrates at a frequency of 85 Hz, a standing wave witsctaqu4g 2p8ai 9*qhixi n;tm(7zb5 1 h 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.