The time for one cycle of a periodic process is cal-a l,kn +w5mv*t5 lhvjled the

  For a periodic process, the number of cycles per uni+p+2au8ibfuj jkuk2 0t time is called the

  For vibrational motion, the maximum displacement from the equilibrium poinzicvvwdudeu d r4 00+i v42o*9t is called20 uvrvi4de09uz* 4owic+vd d the

  A mass on a spring undergoes SHM. When the mass is at its maximum displacemen.0ykog1p n7 f 9rr0wjot from equilibrium, its 1 fp.ook07n0y9 wgrjrinstantaneous velocity

  A mass on a spring undergoes SHM. When the mass passes thron er4ik;(ek, kev m0zm9,k*x nugh the equilibrium position, its instant(9zkmvrk 4n mee,n0k, xi ;e*kaneous velocity

  A mass on a spring undergoes SHM. When the mass is at maximum di(s cj7 tsfqod);/hf*:jgfr lj5:m7mmsplacement from equilibrium, its instantaneous ac) /gfms:o5hs j7dqmlmr:ftf*(7j j ;c celeration

  A mass is attached to a vertical spr/rpz/3uuq q )ding and bobs up and down between points A and B. Where is the mass locr)d3 pq /zu/uqated when its kinetic energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down between points*jumxjds;6td w 9c -)h A and B. Where j -*hd9wu6;tcmxjsd) is the mass located when its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up and g*du z sgp c.euc6o309down between points A and B. Where is the mass located when its potential energy i9e. cpu3gg*60o uczdss a minimum?

  A mass is attached to a vertical spring and bo)abx )h(ea3dpu8; +stgu/ ow qbs up and down between points A and B. Where is the mass located when its potential energy is a ma)(;38u w)sapxdaug+h b e/oqtximum?

  Doubling only the amplitude of a vibrating mass-and-spring sym45ecfg(/ j exstem produces what effect on the system's mechanix j/c 4g(eme5fcal energy?

  Doubling only the mass of a vibrating mass-and-spring system prozk gfia9.al/ , b*ea3mbg (g49u7dsb oduces what effect on the system's mechanicf9.mi9soge 4zg (dbba l* k 7a/,ubg3aal energy?

  Doubling only the spring constant of a vibxj-z 0+2osn1oc7a udy rating mass-and-spring system produces what effect on the system's mechanic+c jxnya17s0 od-uz2 oal energy?

  A mass oscillates on the end of a spring, both on Earth and on the Moon. Wk -:*9yq jr,bcevam mg8kh2e/here is the period the greatest? y,em2 9ecgm8/qh:*a kbvjr -k

  Increasing the spring constant k of a mass-and-spring system causes what kir3x;6* ho dofwnd of change in the resonant frequency of the system? (Assume no change in the systew hxod*r;6 fo3m's mass m.)

  Increasing the mass M of a mass-and-sprg we 3sa0dmjx66d4 0xbing system causes what kind of change in the resow 3664aj xsgm0ed0b xdnant frequency of the system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude ox g7pz-7au)phghs davt5 t8+ 9f a mass-and-spring system causes what kind of change in the resonant fre7v u h+zg5)7at -xtd 9pshap8gquency 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 string of :ia6 vtbg3(i5l j agq,length L. For this system, v ,5a3ig: qj6btil(g awhen undergoing small oscillations

  When the mass of a simple pendulum is f,mxd ee+30ha)k u6f o ft6il,tripled, the time required for one complete vibrao0 fmue,k6,6df t +x)3h falietion

  Both pendulum A and B are c:3x /i:z:pwt4nzjo u3.0 m long. The period of A is T. Pendulum A is twice as heavy as pendulum Bx4j nzo :w ip/:3uc:tz. What is the period of B?

  When the length of a simple penduludj bj.+ta64ymm44it sm is tripled, the time for one complete vibration increases by a factor ob j mt44jas4.mtd +6iyf

  What happens to a simple pendulum'sge;0 gn-ud1 iv frequency if both its length and mass are increas u dg;ine1v-g0ed?

  Simple pendulum A swings back and forth at twice the frequenw ohkr+:ja4z c(,zl,n -ardb 8cy of simple pendulum B. Which statement is corrco z+whd4:rkr, (-, a8b jlznaect?

  If you take a given pendulum to the Moon, where the hy6-bs j-dz02has*kw acceleration of gravity is less than on Earth, the resonant frequency of t wy-b2*js 6 kz0ahhsd-he pendulum will

  Curve A in Fig. 11-1 reprek(nn f 0sw(o2msents

  Curve B in Fig. 11-1 represents bxc2,rqk s7zcg nhx*7: ):g:p8pnilw

  Curve C in Fig. 11-1 repj*dq(m+ec j:0, i f9r/ uc q9zk;zjeqzresents

  For a forced vibration, the amp 1 .,l9uu(:rwwwpgb9ghb o5molitude of vibration is found to depend on the

  In a wave, the maximum displacement of pointsvqon:it ,-fx8 of the wave from equilibrium is called the-: tni x,v8ofq wave's

  The distance between successive crests on a wave is calledi; regxk-s6+v the wave's

  The number of crests of a wave passing a point per unit time is called the wvr8e1ey2g; r(o qsu9.to p ey7ave'yvo gpuo7 8 tr r.ee1ysq;e9(2s

  For a wave, the frequency times the wavelength is;oi*8em et0c laq( xsmc9+c7u the wave's

  The frequency of a wave increases. What happens to the distance2qkz+.o+rj o/ryndf 8pq82wz ,xqdm. between successive crests if the speed rfkmx2rro8wdqq 8+,jpq2. d.n y+z/z oemains constant?

  A wave moves on a string wc;oe:.nx4f1jki+k*i toy 1h nw lp)7with wavelength l and frequency f. A second wave on the same string haski1 weh *t+;xin. lwk1n4fjo7y )o: pc wavelength 2l and travels with the same velocity. What is the frequency of the second wave?

  Consider a travelingzqe zruil99, * wave on a string of length L, mass M, and tension T. A standing wave is set up. Whi9qulei9 ,* zzrch of the following is true?

  A string of mass m and length L is under tension T. The speed of a9m q-x3+e-w cxmjdrg4 wave in the string is v. What will be the xq9+ -mx rdej3cwmg-4speed 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 tensiow),7kczc+q1i+ pn6k i6sb qn un T. The speed of a wave in the string is v. What will be the speed q+6i6nbu 1zck7ksc,qnwi)p +of a wave in 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. Thq*v b;n553ogk 8iqmgl* cdxff8rh * ;pe speed of a wave in the stri;i5o8p * d f 3bqr fn*5;m*lvcqgg8khxng is v. What will be the speed of a wave in the string if the tension is increased to 2T?

  In seismology, the S wave dt8k;m qab8w :is a transverse wave. As an S wave travels through the Earth, the relat:btd8; 8a kqmwive motion between the S wave and the particles is

  In seismology, the P wave ishq1e n zg)e8+d a longitudinal wave. As a P wave travels through the Earth, the relatde)z q+hn8ge1 ive motion between the P wave and the particles is

  The intensity of a wa( m2 :earnid 8scsxv-9ve is

  A wave pulse traveling to the righte381rj4oiy gv along a thin cord reaches a discontinuity where the rope becomes thicker and heavier. What is the orientation of the reflected and trans1o i gr8eyjv34mitted pulses?

  Two wave pulses with equal positive ama+ 2p( i7x.wxw ( )auebumyr,dplitudes pass each other on a string, one is traveling toward the right and the other toward the left. At the point that they occupy th2ww+i)7 ( xu d ae.,m(rabyupxe same region of space at the same time

  Two wave pulses pass each ot8.ng;efa8t84nk xde cj s;9 f/xys; dther on a string. The one traveling toward the right has a positive ampl8 ttea fxd98ks;xj8 n ;/dcey4sf.g;nitude, 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 2 o)u3jxqmhbxx ikz,-z; 0h2f ends, occurs when

  If one doubles the tension in a violi vsuvpl)e)fuj66 .9d un string, the fundamental frequency of that ) f)svv6 u6updujl9 .estring will increase by a factor of

  What is the spring constant of a spring that stretches 2.00 c3ij s9-xw7i3a(svh r vm when a mass of 0.600 kg is suspended fromvsih sj- 3avix (397rw it?

  A mass is attached to a spring of spring constant 60 N/m along a ho dqhh +r*qtke+k1d;5n rizontal, frictionless surface. The spring is initially stretched by a force of 5.0 N on the mass and let go. It takes the mass 0.50hdd+e;t nqk*r5kh q1+ s to go back to its equilibrium position when it is oscillating. What is the amplitude?

  A mass is attached to a spring of spn4pg r5cx mouv l/1j+.ring constant 60 N/m along a horizontal, frictionless surface. The spring is initially stretched by a force of l4cj1x./m gnor+pu 5v5.0 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 sp4gme imp2 l3oeds+ v++ring 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 dpsgi2me m +lo+ev+34let 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 undergoes SHM. It goes through 10 complete o rul (pz k9rm+:.+8yy)e(ut4qdhqlzj scillations in 5.0 s)ukmudqth+ly+ rj e4l ( py.r9q:z(z8. What is the period?

  A mass vibrates back and forth from the free end of an ideal spring of spring ckw 2m/p)pbd*. c 2ksza6d7(8ja d lnmaonstant 20 N/m with an amplitude of 0.30 m. What is the kinetic 6j/ 7*2.lkn kaad8)pma 2pdwzs md(cbenergy 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 sprrgweya b/:kksw9 l// 3ing 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 ts l:///k wk93w yrebagotal energy of the system?

  A mass undergoes SHM with amplitude of 4 cm. The energy is 8.0 J u82i;w e-1rut 2 3/hxnggt6 xxpntou8at this time. The mass is cut in half, and the sys g 2unoe-x hgi8u3xwn;u2txt8/1t6pr tem 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 a sp3;- etiw ps 2)cdci04j qkn(oaring 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 vibration?4ncejwi3) i ascd-pk 2q(;0ot

  A 0.50-kg mass is attached to a spring of 9vipa+jr2 oe)s) p ar:spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates ine:+)r ao rp2v 9)ijasp 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 oop .8po*n4hjy f a horizontal 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 jo8pp h.n*y o4this system?

  A 2.0-kg mass is attached to theo5; num.fd wn/ end of a horizontal spring of spring constant 50 N/m anwum/n; nd5.fo d 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 from the free end of an agccw rw,4cr3w ) qf yt(8v8)bideal spring of spring constant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kinetic en8v(a g8c rwr4wb, ) cc)twqyf3ergy of this vibrating mass?

  The mass of a mass-and-slpo9m.rscpl/ap: - +kpring system is displaced 10 cm from its equilibrium position and released. A freqpl +s/ppmr-l caok9:.uency 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 e8(tyafcnb ::26 wsk)rlesl210 N/m. The object is displaced2)ya6kts 2 r:l( bs:ef8eclw n 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 1-b h7sc ,o. kcxmdgxp :k:45kn0 N/m. The object is disck:5-x kc,.gh d bmsp4o7xnk :placed 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 sprip*+:hqdrm;sw t k mjc/x6jq(1ng constant 18 N/m, displaced slightly from its equilibrium position, and released. What is the frequency h:xmk;jqpwc/ dm(61*j +t rqsof its vibration?

  A mass is attached to a spring. It oscillates bd 3cq m 417;v.jcdyucat a frequency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What is the maximum velocity attained by 1dcbqd cj.3u c4v my;7the mass?

  Two masses, A and B, are attached to different springs. Mass A vibrrys1 7.x gxbo:ates with amplitude of 8.0 cm at a frequency of 10 Hz and mass B vibratesso1xx .y:7r gb 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 equi(dlo 6fy9nphdzkq4:p. :xn g(zptuzn9-a b/+librium 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 period of osn+ b9o( nyxdnzzlq upfkh4/9-a6pz( :gd.: tp cillation.

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass stretches the sq/pvuk.t/ o8hpring 2.0 cm downward. The mass is then pulled an additional distance of 1.0voq. ktp/uh8/ cm down and released from rest. Calculate the total energy of the system.

  A 0.30-kg mass is suspended m/e eqb1u6we.on 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. Write deb e16em/w.quown its equation of motion.

  An object in simple hax h c*t+0k*9p/ecn6uiw ssh1hhxp)*b rmonic motion obeys the following position versus time equati*+n*hih0ct 6eu1bssp p/) kh9h*xcxw on:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonigl98bm2adm u :c motion obeys the following position versus time equg 8maul2b:m9 dation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motioi 5v0kw, dur8gn obeys the following position versus time equati5wv 8dru0ikg, 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 harmonic m6j* moyjc qt;czb ot3 *l(vj48otion according(ljqz cmt 68o3;*oyt4j* vjbc to 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 to spring with a force constc(q, od6opfj-ant of 20.0 N/m oscillates on a horizontal, frictionless track. At t= 0, the mass is released frop(c ,dqo j6-ofm 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+ q;e dpas5x49ko9 kfi/k3nph in 8.0 s. (a) What are its frequency and pexikq49n 3d+s9k h/kep5 ; faporiod on Earth?

  A 3.00-kg pendulum is 28.84 m long. What ge:+v rp3n7o:ldc 4duis its period on Earth?

  A pendulum has a period of 2.0 s on Earth. Whaauf x2 6+rtk.wodz2y;t is its length?

  The pendulum of a grandfather clock is 1.0 m long. What is its p)u)pamgm:z hpe o4/du :tqo6 6i:bid1eriod on the Ear6 :iotp)dmzpiubuhmg:o a ) :1q d46/eth?

  The pendulum of a grandfathejk;5pmo k,2j822t* mu9y hcenb2wjj w r clock is 1.0 m long. What is its period on the Moon where the accelwjjj,2cpk2nmuh m y*98o 25 t2e;wjbkeration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attacheo9g.vft+e a-k d to a massless string. When the mass is displaced slightly from its equilibrium position and k9 vfge+ a.ot-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 ++bca-6 datje angular displacement of 8.0e. It oscillates with a b +-tea6j ac+dperiod 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 "snap*ttie1qx*u 4m shot" of a wave at a given time. The frequency of the wave is 120 Hz. What is the amplitude? 14 m u*e*ttqxi

  Figure 11-2 is a "snapshot" of a wave at gi gqzv,l1y -at 8q 9ez/c/cp1a given time. The frequency of the wave,9cal pt/evgzy1g q1iqc 8-z / is 120 Hz. What is the wavelength?

  Figure 11-2 is a "snapshot" of3 rp eo(gss/d7 a wave at a given time. The frequency of the wave is 120 Hz. What is the wave sp pd3rose sg7/(eed?

  What is the frequency of a wave which has a p/9.yq9x0kc6 kvf r4p cm pav0leriod of 6.00 ms?

  What is the period of a wave q2rtluh*:h0e with a frequency of 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hn; nf io- ,c 97i2nnulzqokn0.z and a wavelength of 3.0,lfni cnn ki0;n7.n2o-9 o zuq m?

  What is the velocity of a wave that has a wavelength of 3i i.h5ef if+9f.0 m and a frequency of 12 +fiihef.9 i5f Hz?

  What is the frequency of a 2.5 muie 339y y ngxn:98stp wave traveling at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m fh0g.xehv t 1z-nb da/*6od b+is under a tension of 1350 N. What is the wave sgxd*vt6 hfe hnd b-zb1 o+a0/.peed?

  A string of linear dens93+ n1e6tzpp;z igpw tity 6.0 g/m is under a tension of 180 N. What is the velocity of propagation of transverswiz96 ppe t;1n +3zpgte waves along the string?

A wave whose wavelength is 0.500 m is traveling down a 500 m long wirel50 w4olrzp.p whose total maw4p.0ll opzr5 ss 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 d5 xht;j)pb1mh9gg:nh2s v 8pstring fixed at both ends is 200 m/s. Which one of the following is not a resonant frequency o vnp9p 85 xj t)b;g:sdhhg12hmf this string?

  If a guitar string has a fundamental frequency of 500 Hz, which opz0jw3y3zc 9j32 jy:n*bqznvne of the following frequencies can set t3 jzz03n 3w*by2vyjzq p9j n:che string into resonant vibration?

  A stretched string is observed to have four equal segments in a stanp;6std/x; vp 5pdfy+/ stl gl9ding wave driven at a frequency of 480 Hz. What driving frequency willp+;;6pytd5sv/9l lxg s/ tpfd set up a standing wave with five equal segments?

  A string, fixed at both ends, vibrates at a frequency of 12 Hz with a standih3ygv6fhgi6l s /ugpr g;3(m)ng transverse wave pattern containing 3 loops. What frequency is needed if the standing wave pattern is to contain 4 /gf g v sy6hpmg);l(3u3r6hg iloops?

  A string of linear density 1.5 g/m is under a tension of 20 N. What shoulw1ms buv7-m.s d its length be7usm.1wv bm-s if its fundamental resonance frequency is 220 Hz?

  Find the first three harmonics of a string8-r lcn1pn (wy of linear mass density 2.00 g/m and length 0.600 m when it is w yp(rl1n-8ncsubjected to tension of 50.0 N.

A string of length 2.5 m is fixed at both endsuaes- ,k2b6;.0yzd,x yw vebe. When the string vibrates at a frequency of 85 Hz, a standing wave wibeyeyk.v;bz0us d6- ew ,,ax 2th 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.