The time for one cycle of a periodic process is called thkv7)eyv q)qh yz sc06wz*0:lf e

  For a periodic process, the number of cycle9 z1/6yuv(oo wh1hk1gyun zj + ;b4ekes per unit time is called the

  For vibrational motion, the maximum displacement from thm+ fr orpbkj+e z 38*)utw (j4,lzs4fqe equilibrium point is calle+4+ bk opj3*jq ),t4 zflsm8rr(uwzfed the

  A mass on a spring undergoes SHM. When the mass is at its maximum displacemen v.j kqmosp7z79uo )a ut2t6*et from equilibrium, its instan2 aq.6toue7jpvtz ku7ms)9 o*taneous velocity

  A mass on a spring unom w 7sq3zb+ 6ocf87ohdergoes SHM. When the mass passes through the equilibrium position, its instantanzscb 63q f7w8 hooo+m7eous velocity

  A mass on a spring undergoes SHM. When the mass is a3t)em4s:fp ojt maximum displacement from ejp:o 3m)te4sf quilibrium, its instantaneous acceleration

  A mass is attached to a vertical spring and bobs up and down bszzf-3 ihgdga 9y.8ms9 j( b2ietween points A and B. Where is the mass located when its kinetic energy is a migf9bi assz- (3d.zi8jgm29hynimum?

  A mass is attached to a vertit9mfm z26 ho9ol)k.t gcal spring and bobs up and down between points A and B. Where is the mass located when its kinetic energy is a maximum6z lfmot2)gk 9ho .tm9?

  A mass is attached to a vertical spring and bobs up and down between points2.sp grlhg9qp)3qv w 0 A and B. Where is the mass located when its potential hsg2wprql vg p93q0).energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down betwee otwmlw+l)c;q ; 61scfn points A and B. Where is the mass located when its poo6scqfw1c ;w +lt; ml)tential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-spring system.bs;k) 8(3gh,kp gvf bunrm*l produces what effect on the system's mechanical enep.mb ; un,3*kgb)s(h g8lk fvrrgy?

  Doubling only the mass of a vibrmgdzp*(5qvc sp)y 6 i9zs:,faating mass-and-spring system produces what effect on the system'5m9fdz ,vs c6q*z)ppa:(gysi s mechanical energy?

  Doubling only the spring constant of a vibrawc,skn 0 uy)e:ting mass-and-spring system produces what effect on the system's mechanical energys n:c)0wkye,u?

  A mass oscillates on the end of a spring, both on Earth and on the Moon. Whlswmqyu,sk-cn 2-r7 :ere is the periodyk, 7 rcq-ln2u:w-s ms the greatest?

  Increasing the spring constant k of a mass sq d0b;a2a*ou-and-spring system causes what kind of change in the resonant frequency of the systemab 0qs od*au;2? (Assume no change in the system's mass m.)

  Increasing the mass M ocz8ie lg-g2m2 f a mass-and-spring system causes what kind of change in the resonant frequency of the system? (Assume no changelcmgie2z- 28g in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system cnzix8 +3yfa b-f fd6 5rh1y-gdauses what kind of change in the resonant frequency of the system? (Assume no other changes in6ri+g- nf a -yzbhx dd3ffy518 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 weightleslogujj 6 e6*ths:/lmhq *0qs:s string of length L. For this system, when undergoing small*ltj0qqhg:/* su6: m jeo6shl oscillations

  When the mass of a simple pendu .ly-q en/m4dfsq r;-glum is tripled, the time required for one complete vilsyqg- ;.m/4feq- nrdbration

  Both pendulum A and B are 3.0 m long. The period of A is T. Pendulum A is twic/v 4c is( tect-t5tlp/e as heatet-5/ttv scp lic4(/vy as pendulum B. What is the period of B?

  When the length of a simphc dbo 5(.y-qb+eb zb9le pendulum is tripled, the time for one complete vibration incrc d+e(h.5by9bz bboq -eases by a factor of

  What happens to a simpletp 3nso 3ivp7u-/ir+ z pendulum's frequency if both its length and mass are increaseu /p- i7+nis 3tvpozr3d?

  Simple pendulum A swings back and forpolw4lhg+k6ek ig -fl86e ) ;vth at twice the frequency of simple pendulum B. Which statement is correct?)ilelp f-k; g 4gk6w8ohv+e6 l

  If you take a given pendmr4cs hhc17 fh:dx12 wulum to the Moon, where the acceleration of gravity is less than on Earth, th dm1c:wh2crxh7f4h1s e resonant frequency of the pendulum will

  Curve A in Fig. 11-1 rem96xiacs o9;onm jy dl,q,4 1(k6jp cdl9x b5epresents

  Curve B in Fig. 11-1 represen il-byef u8,m4ts

  Curve C in Fig. 11-1 reprel0, tzx1 +)rxudv1x dusents

  For a forced vibratijc,*fyre 4, ghon, the amplitude of vibration is found to depend on the

  In a wave, the maximum displacement of points of the wave from equilibriu 2w,hi0k 7 h:b*pg(g+fdi5-meda muncm is called the wavem,2b0wp c idme*-idn: hf7kg ga(+5hu's

  The distance between successive crests on a wave is called the wave'(dl-q7l2c ;yf ((fph w5ch mpms

  The number of crests of a wave passing a point per unit time is called the wave,lia(k, co/u a's/klaa o,u( i,c

  For a wave, the frequency times the wavelength is w)i7 +cohis3h the wave's

  The frequency of a wave increases. What happens to the distance 2;*zbih2xx cpxjh5 4kbetween successive crests if the spxjz4c pxxh22kh b*; 5ieed remains constant?

  A wave moves on a string with wavelength w)a6zlf22v jcl and frequency f. A second wave on the same string has wavelength 2l and travels with thfc ja2)26zw vle same velocity. What is the frequency of the second wave?

  Consider a traveling wave on a string of length0pa7sae.f)++faom ttiw-d6 t5j.tf o L, mass M, and tension T. A standing wave is set up. Which of thea0 5+7a it.6- m.odpafew)+tttoff js following is true?

  A string of mass m and lengt qqi1 f(;k*mdkh L is under tension T. The speed of a wave in the string is v. Wh(mikd fqq*;k1at will be the speed 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 lenq26 xor7 u )m p0(wswm4dw9w:o.lfgzn gth 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 if4m dlzw9s wo:0( nuwg2mf ).rpo6xw7q the length is increased to 2L, with no change in mass?

  A string of mass m and nx uytab*ve jw-7r*kjf. qq8g 40n x41length 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 tensqut-w4gq*r4e08 a kxbj*7njnvyf. 1xion is increased to 2T?

  In seismology, the S wave is a transverse wave. :6 zw:u9m9 tt-ttt hqr As an S wave travels through the Earth,uh9t9 :r-ttw z:t6mqt the relative motion between the S wave and the particles is

  In seismology, the P wave is a longitudinal wave. As a P wave travels tbrj4jd5 (x1i ohrough the Eartjijdr1o4 bx5(h, the relative motion between the P wave and the particles is

  The intensity of a w;k.tw6i9ifkqd3 5r9ndee md8 ave is

  A wave pulse traveling to k;; nfe0tfp7q: oo m3sthe right along a thin cord reaches a discontinuity where the rope becomes thicker and heavier. What is the orientation of the reflected 7 e0o:;otk ;pqfs3n mfand transmitted pulses?

  Two wave pulses with equal positive amplajed2fk ;bd .*- mwp4uitudes pass each other on a string, one is traveling toward the right and the other toward the left. At the point that they occupy the akd m42pf-edu*j ;. wbsame region of space at the same time

  Two wave pulses pass each other on a string. The one traveling tow ikq+o j:6kh+glepg0a4 sn b)-ard the right has a positive amplitude, while the one traveling toward the left has an equal amplitude in the negative d+-kn i6:lkag+oh0jegps b4 q) irection. 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 v,vzuqe q6u 0ni v,.7jends, occurs when

  If one doubles the tension in a violin string, the fundamental frequency of thatpa ,5pp x/jizrd4:, ls8mmi)i string will increasei/xzpp54 p8,:s ia, rm)lmdji by a factor of

  What is the spring constant of a spring that stretches 2.00 cm when a mas)s10woz 4b p rr2vry3us of 0.600 kg is suspe3srzybp 2 0)vru4wro1 nded from it?

  A mass is attached to a spring of spring constant 60 N/m along a horizonts,,hzzbo 9twy3 a5hu -al, 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 oscillat3wyba tz5h z-,h9u, osing. What is the amplitude?

  A mass is attached to a spring of spring 0ayi;aw(p.mh ;v v;kx 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. avhy;v ;kp;a.iwm( x0 What is the period of oscillation?

  A mass is attached to a spring of spring constu3p1nloa/sk)-rb 3r uant 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 frequency op3l1)oru/-n kab u3 rsf oscillation?

  A mass on a spring undergoes SHM. It goes through 10 complete hnyw 4cr*kq8q-4guoh*q t (g 6oscillations in 5.0 s. Whyg*-n(8 4k6 q h*qhqguwrct4 oat is the period?

  A mass vibrates back and forth from the free end of an idearc swf*).r /7h ,c;i9rpjjjyhl spring of spring constant 20 N/m with an amplitude of 0.30 m. What ij9)r wrr /7c*;j ,pc hfhyis.js 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 ac7 ,4g7ewtzma horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s c74zeat g,m7wat the equilibrium position. What is the total energy of the system?

  A mass undergoes SHM with amplitude of 4 cm. The energy is 8.0 J at this times;w+h48fm dnu. The mass is cut in half, and the system is again set inhsw mfd;+ un48 motion with amplitude 4.0 cm. What is the energy of the system now?

  A 0.50-kg mass is attached to a spring of spring ;t zhslvs;,t .constant 20 N/m along a horizontal, frictionleh;z.lt;sv,t sss 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 attacoao1zu; p17da tq 4/ndhed to a 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 equ41op7o1za; nqda/tu dilibrium 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 horizontal spring of 7.: ukoe sai8 no:,o txdc-w(wspring constant 50 N/m and set into simple harmonic motion with an amplitude of 0(edaw ci.o7, suxo8::n t -wok.10 m. What is the total mechanical energy of this system?

  A 2.0-kg mass is attached to the end of a horizontal sp +uo;1ecm d*2 hc)(aqgrcg-jdring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the total mechanic-u(cce*ao ddj)mh r ;2gq+1gc al energy of this system?

  A mass vibrates back and forth from the free end of an ideal4vcne( hd7grjp(a 41 8c c1oif spring of spring constant 20.0 N/m with an amplitude of 0.250 m. What 4jfa(pio4 1( rgve hn18ccdc7 is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring syeuy).eyd(a3 a.bugr:t/n rg 2stem is displaced 10 cm from its equilibrium position and released. A frequency of 4.0 Hz is observed. What frequency would be observed if the mass had been displaceuaet/ .brda. r:g)u 3yn(ey2gd only 5.0 cm and then released?

  A 4.0-kg object is attached to a 0ljf ydo z*(vlt*,c;h spring of spring constant 10 N/m. The object is displaced by ,do *v;jctllzf 0h(y*
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 constt; (,-gdk-etpr s8m1r bge-i 0kyru-bant 10 N/m. The object is displa-b(e kp-m eky id-81-rrsrg0t;t g ,ubced by
5.1 cm from the equilibrium position and let go. What is the frequency of vibration?

  A 2.0-kg mass is hung iwnoe;6 nzl q:c 5/z/q*govg3from a spring of spring constant 18 N/m, displaced slightly from its equilibrium position, and released. What is the fen ; 6c3qvolw/nz5zo:gq g*i/requency of its vibration?

  A mass is attached to a spring. w ga-)(ivpbg(x;s fl( 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 velocity attained by -)i;wgv((f p bls axg(the mass?

  Two masses, A and B, are attached to different springs. Mass A vibrates with a22-do6jxr 8 m3,saj1ozqzvsu mplitude of 8.0 cm at a frezus sodvjmq 8 3ja6x2z1,r -o2quency 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 tsa(,8x6 th3emv rng n+he 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 oscilrnm8+t , esxa 3gv6h(nlation.

  A 0.30-kg mass is suspenjuolhveo o(-ogl2,/ f- q h-le-p/n,wded 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. Calculate th n/-jv -qhuheof,o2- -(l/ ,lewlogope total energy of the system.

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass stretcyexu+5 d/z0tz sg7 fq)hes the spri)dze y7+g0ut xsq/z5f ng 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 obeys0oi*kto/m ,zx ,mslb mgs3/4 d the following position versus time equationlxt,,gi0 boo/4sksm mm3z d*/:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the k cji 1(kqx4i6x2 v)bf ua(u/ s4vtqn0following position versus time equaq()/vx kv6sux24(btiq1f ju0ca4 n iktion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obx7-c(q,wn:map hf+d c eys the following position versus time equatida-c:h(cw ,xn qfm7+ pon:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to th).p oiu8,m,x .d fugxxzk93shpmc4-xe free end of a spring executes simple harmonic motion according to the equation 3z-.xoxp ,g mpmuf) cs.9,k48ixdxhu $y = 0.50 \; \sin (18\pi \times t)$ 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 oscillhrw ld 47p9; pjd)e2gcates on a horizontal, frictionleeld)pw9;hcg24p r7dj ss 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 zvbhib3set 1ov74yq2* r8j5fd3w ,jain 8.0 s. (a) What are its frequency and period on Earth?ovq3f57i3bar 8*dt eh 2yjj w14vbs,z

  A 3.00-kg pendulum isg4zgbqerm3)rp5 5u7 kh3g/ng 28.84 m long. What is its period on Earth?

  A pendulum has a period of 2.0 s on Earth. What is 29y0 3iium t2s9 +o*pmi5ld gmq,,qmpbshk;qits length?

  The pendulum of a grandfather clock is 1a8/6zf k*dchn.0 m long. What is its period on the Ea*chad6z n/8k frth?

  The pendulum of a grandfather clock is 1.0 m loqikkl;4kg,uabzb4;bx1a.wv 7 *rbm 6ng. What is its period on the Moon wh,;*bq xl4 7uzakb.bkbwrmk a61;vg4i ere the acceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-bdy er2y qgr j83ga;86kg spherical mass attached 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 Hz. What frequency would have resulted if a 0.50-kg mass (samejr;e yqr ggyb836da82 diameter sphere) had been attached to the string instead?

A simple pendulum consisting of a 20-g mass has initiee2 rz,9w jlp8al angular displacement of 8.0e. It oscillates w ,je8w2lpre z9ith 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 the xo vlta f(95 8r/ni9rzwave isrf(oxli vnr 5a/zt 989 120 Hz. What is the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a guws na0q:zmj g15o38civen time. The frequency of the wave is 120 Hz. What isu1:w0am3 q n5cz8osgj the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given timr -msz-qu)r8 a +9fdcne. The frequency of the wave is 120 Hz. What is the wa)+zanum r cfqs-9r 8d-ve speed?

  What is the frequency of a wave which has a period of 6.j4.s zop2z ec/00 ms?

  What is the period of a wave with a d szkkr48 n82o+hw hh 71qdz/p4u/yri frequency of 1500 Hz?

  What is the wave speed if a wave has o7gy 3l 5mj 0jvf53aea4v xykv2l6(qxa frequency of 12 Hz and a wavelength of 3.0 o y 34mkj365 qegv5la0a j(xv7vl2xfym?

  What is the velocity op1 0wc- xv2zpef a wave that has a wavelength of 3.0 m and a frequency of 1-z12ex w0cp vp2 Hz?

  What is the frequency of a 2.5 m wave tr4( ogb1m t cim hmb9qik dsil5g,5786gwxcx4 2aveling at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is under a tension of 8shp s/j6g3k z1350 N. What is the wave speed?h zs8p 6/sjk3g

  A string of linear density 6.0 g/m is under a tension oq 68ts wcahu9)qgq,j/ f 180 N. What is the velocq9ua/qj qs8,h) 6 gcwtity of propagation of transverse waves along the string?

A wave whose wavelength is 0.500 m is traveli(ofvnn84cvm30 gb9 bxng down a 500 m long wire whose total maxgvv(n m8n39c b bof04ss 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 propagato sfz(so9 y bdwj66:(tion of a transverse wave on a 2.0-m long string fixed at both ends is 2fj o9:6 tw6(yds(ob sz00 m/s. Which one of the following is not a resonant frequency of this string?

  If a guitar string has a fundamental frequency ze/s9)*p hd tpof 500 Hz, which one of the following frequencies can set the string in /zpe)hspdt*9to resonant vibration?

  A stretched string is observed to havgu/dp1:v3rn/ 9eo8 n2jbnv;w)ena vz,vc 4 ode four equal segments in a standing wave driven at a frequency of 480 Hz. What driving frequency will set up a standing wave with fiv:j/vu4on d8c nnp;vobae1wz2 d,egvvn3)9/r e equal segments?

  A string, fixed at both ends, vibrates at a frequency of 12 Hzp,a:kf5 ,uljq3ubi7ps b8g; x with a standing transverse wave pattern containing 3 loops. What frequency is needed if the standing wajqks iu:7g8b , f;53pual,pb xve pattern is to contain 4 loops?

  A string of linear density 1.5 g/m is under a tension of 20 N. W3hbv.t c8fqc w,h;xl 0hat should its length bw .xh8tvqbf0,lhc3;c e if its fundamental resonance frequency is 220 Hz?

  Find the first three:p xp31 g)vqw2f5dgdo harmonics of a string of linear mass density 2.00 g/m and length 0.600 m w :)5dfpopwgq2 v31xd ghen it is subjected to tension of 50.0 N.

A string of length 2. c/tj+q+d-fjg (t/zyb 5 m is fixed at both ends. When the string vibrates at a frequency t+ +/j(jz/tcdg-bqfy of 85 Hz, a standing wave with 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.