The time for one cycle.;za 1 in7wxy)cqg6gz of a periodic process is called the

  For a periodic process, the number of cycles per unit time is .zk9qak/c4n jcalled the

  For vibrational motion, the maximum displacement k4c;t.7knstqxba2gk 45qm *b from the equilibrium point is cctk qgt7n*bm k5;. 42k4 xaqbsalled the

  A mass on a spring undergoes SHM.)8p 4vyynw)gn When the mass is at its maximum displacement from equilibrium, its instantaneous ve48gyp ))yvwnn locity

  A mass on a spring undergoes SHM. When the mas gv ;mj3;b .p1v.eqcgts passes through the equilibrium position, its instanta.e.1gv b;qjp;ct3vmg neous velocity

  A mass on a spring undergoes SHM. When the mass isx.1-d udr -;kbpaosar98u m7v at maximum displacement from equilibrium, ms9r;- pauo r 1uxddk87avb-.its instantaneous acceleration

  A mass is attached to a vertical spring and bobs up and down between pointsg(wzr70iz hyt)3 4zjp A and B. Wherjryzz7zp)hg (43 wi0te is the mass located when its kinetic energy is a minimum?

  A mass is attached to a vertical spring andm :e 6w/ gwwrctl9xkt:.xh*h w;rx8. e bobs up and down between points A and B. Where is the mass located whenttx*ww w;:gcl8hrx w:/ hrk6 xm.9 ee. its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up and rxok wn*/r 7+rj5k0rzdown between points A and B. Where is the mass located when ir r5z rrwoxk j*n0k+/7ts potential energy is a minimum?

  A mass is attached to a vertical spring andhsmf3yuzubm+ 8/mk03 bobs up and down between points A and B. Where is the mass located /sk8b mhm0u+y 3ufzm3 when its potential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-spr6b dbx;*pz)sping system produces what effect on the system'ssp*bx6;zdb) p mechanical energy?

  Doubling only the mass of a vibrati o f8:/ajs og)j - ;awgxwvx*jnam3qd **:ly3xng mass-and-spring system produces what effect on the system's mechanical en:3jdy aas*;x*nax/o 8ww)mg* f vl-gqj :oj x3ergy?

  Doubling only the spring constant of a vibrating mass-and-spring system produc (*x.nq0te vlbes what effect on the systemxn* tb(0l.q ev's mechanical energy?

  A mass oscillates on the etgp hwz u kq-0x;-oo: q-lu46cnd of a spring, both on Earth and on the Moon. Where i pq zwuxo-tlg :4-;0kuo qhc-6s the period the greatest?

  Increasing the spring constant ki 0-4:mc fvram of a mass-and-spring system causes what kind of change in the resom0 r4v-cm:f ianant frequency of the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system causes what /negfc 9e k ,fm6m((v*aqy-e;q xkwh3kind of change in the resonant frequency of the system? (Assume no change in the symcw6 h/gy xqeefek f9 mkan-,;v(( *q3stem's spring constant k.)

  Increasing the amplitude of a mass-u: vgus )sp95:c;u8(zcqmaq nand-spring system causes what kind of change in the resonant frequency of the system? (Ac)psaug5zv9ns c ;( 8qqm::u ussume 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 ea6yb6w o:91lar4g hmM attached to a weightless string of length L. For this syst:hwm6r4l1y o agea b69em, when undergoing small oscillations

  When the mass of a sn7lx1htxq(l / 7hby7 fimple pendulum is tripled, the time required for one complete vibratfly7 b qlxh(h771n/ txion

  Both pendulum A and B are 3.0 m long. The period of Auc, f z5j(-+0qqpuxv lze -7ec is T. Pendulum A is twice as heavy as pendulum B. What is the pexpqzecu,ecq( 0l+z5-fu7-v j riod of B?

  When the length of a simpllzs,ukrrf9sgi7* s-97m ag a t-hu9;ue pendulum is tripled, the time for one complete vibration increases by a farahlim-;s*7, 9g u9u-gskua sz 7t9rfctor of

  What happens to a simple pendulum's frequegfla ;p1f2r3r0km :qhncy if both its length and mass are increased?m:l k ;q1pgrf2r3fh0a

  Simple pendulum A swings back and forth at twice the frequency ofcv5yi bo33kf bq)1 jqw+4iha 3 simple pendulum B. Which statement is c4 obi k3qq+abwj yvi35 h13fc)orrect?

  If you take a given pendulum to the Moon, whnf xm,0wzo9(a nu7rl- ere the acceleration of gravity is less than on Earth, thewx70 un9zflmn,o-r( a resonant frequency of the pendulum will

  Curve A in Fig. 11-1 represents fcg0j 4qtvl 718m*)to)ax svr

  Curve B in Fig. 11-1 r( qeo:x.yx0rw o ,v+yfepresents

  Curve C in Fig. 11-1 representsylji6,- px0xzh /tk( x

  For a forced vibration, the amplitude of vibration is f4uy59rku-azq k1n 1ay ound to depend on the

  In a wave, the maximum displacement of points of the wave from equili6g+1e jo +mb /sn,thn4g.ftbup3ns 2 j9da 7xabrium is cal uaof.3p+nxjgbbmngt/nds1e6+ah, 27 j9t4 sled the wave's

  The distance between successive crests on a wave is called th()uf/3i+ja voxp j zb*e wave's

  The number of crests of a wave passing a point per unit tu2+ub(0 rnr zi a1sk1)rk *agnime is called the wave'srs1uzk 2*10)+(kaai b rngnur

  For a wave, the frequency times the wavelength igv . 8ev5xmqyoy 6q4y7s the wave's

  The frequency of a wave increases. What happensazpqof r 6( 7r x/a.*vyv 1v/,upfjm1y to the distance between successive crests if the speed remains cvqr* 1xpzavy1(f /vu/6 a,p.rfmoj 7yonstant?

  A wave moves on a string with wavelength l and frequency f. A s.j24f-,zn4gbkadcw :olhfq kpr* o7 ,econd wave on the same string has wajraw42 nq:,kf,dfgb*7z4c hp lo o-.kvelength 2l and travels with the same velocity. What is the frequency of the second wave?

  Consider a traveling wave on ibrc:l30iwccg9 :u zyen5, a 6a string of length L, mass M, and tension T. A stal:6,g50u bi :9acenryz ic3cwnding wave is set up. Which of the following is true?

  A string of mass m and length L is under tension T. The speed of a w2 c9b-uozc:hmave in the string is v. What will be the speed of abmhczo9 -c2:u 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 ob;wg,3wu5 :lq*3k3m of h(zxrw x.kwngmve, )f a wave in the string is m (x3wueq53g* :k gxw,or3bfw,zv;n) .mlkwh v. What will be the speed 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. The speed of a wave in themgam-hlb(s n d/15db 9b, 2fl,deu u2l string is v. What will hnafu2( l l9dsgeb5b , -b,/mum21dldbe 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 S wave travel *+y q+s -tu9+dyikxg4voq w4ose64 wgs through the E4yey+v tuq +qd4g46+ io9sx- wg wsko*arth, 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 througo;fl ,j8,tc;f h qjqma2nu gi,-09saih the Earth, the relative motion between the P wave and the parti,8omqgi0c fu, ,s2l qjan;9h jf;-taicles is

  The intensity of a wave isx ,6myubmge0 :

  A wave pulse traveling to the right along a thin cord reaches a disconga/ jdr72yv+he0aly*il;,dcb st65 ptinuity where the rope becomes thicker and heavier. What is the orientation of the reflected and transldj seta 7g0p5iyvh , 6adbr2+*l ;yc/mitted pulses?

  Two wave pulses with equal positive amplitudes pass elh4y kn8nfnr8tgahv /ki9 ,36ach other on a string, one is traveling toward the rigiv3n6l9g tf,a8n48 khrh kyn /ht 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 the rig)n59vjh3x8:c ov bveeht has a positive amplitude, while the one traveling toward the left has an equal amplitude in the negative direction. At the point tc9)vvee:5j 8hv 3nob xhat they occupy the same region of space at the same time

  Resonance in a system, such as a string fixed at both ends, occ)a)a l- ;im ch1zsxl:eurs when

  If one doubles the tension in a vioyfrp ;um:u0)hbcg9+ h lin string, the fundamental frequency of that hhu+p:y ;0frm9 )bg custring will increase by a factor of

  What is the spring constant of a spring that stretche,:qr6swj hwr.fw a hw+m9 etc9oux33:s 2.00 cm when a mass of 0.600 kg is suspended frh9m3aw r3csfw6wwe,oj. tu:xh +q9r: om it?

  A mass is attached to a spring of spring constant 6 k/r7lhbsy7zmt 1xl 80i4mxnt0xaam(1r ,7r t0 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, 1rs(7bltryn /zt 7mmr7 a0xxx1 imh8k40 tla it is oscillating. What is the amplitude?

  A mass is attached to a spring of suk+ 2lnhcu ji 0mfq..*pring 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.*n+lh.2f u0 mc.jkiqu50 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 Nnqnc,23hu0jn/m ;b4v 6cq ysl/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 the20b/ln;n34ncuvyhqs6 q,c jm 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 oscillations .sjf tm5hk)*gin 5.0)m t*fskg5.hj s. What is the period?

  A mass vibrates back and forth from the free end of an ideansuuj ). d0 53,zuevhql spring of spring constant 20 N/m with an amplitude of 0.30 m. What is the kinetic energy of this vibrating mass when it is 0.30 m from its 3 dq5,u0ju e sn)vh.uzequilibrium position?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m along eo1m 2lq;*jj qt0sg7x fvfy.-a horizontal, fric7 o 0*qjsv2q.-e;1lmfx gjy tftionless surface. The object oscillates in simple harmonic 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 8.0 J at thi*l4uyr 6siypgg3s)a *s time. The mass is cut in half, and the system )gy3 6saly* r4*sgupiis 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 spring of spring constant 20d285nw0iy e rn N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motwi25rd0 neny8 ion 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 constant 20 N/m alongj* dsqgglx7+vy(+;,r1,edlbwmwm 9v a horizontal, frictionless surface. The object osci7+q yrvlm,(dw1jvg;mlsx g ,*d 9w+bellates 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 horizontal spring of spring constant 5 vr 8l;d5op yh36pnh9d0 N/m and set into simple harmonic motion with an amplitude ofvpyhr;95dpo 3 ndhl86 0.10 m. What is the total mechanical energy of this system?

  A 2.0-kg mass is attached to the end of a horizontal ).7q)ci+w bg gpt+d yoduz8. xspring 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 syst.d+8+wzxq ).opcdiu7 g)by gtem?

  A mass vibrates back and forth from the free end of an ideal spbsp:dx (l0:r d n1m)mxring of spring constant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kine0m lns)r(xx:mb dd 1:ptic energy of this vibrating mass?

  The mass of a mass-and-spring system is displaced 10 cm from its equiy 7 r r1gn,bdw(e3jpl8i,jo; llibrium position 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 the8j ,bon3 y (lrp1, jgrl7e;dwin released?

  A 4.0-kg object is attached to a spring of spring constantg+s9au ( te3am6dsd9 m 10 N/m. The object is displaced a9m9+us 36g (ded tsmaby
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 b4z ayp1jev,7m,,fb 5h, ,hx rz2m zdkof spring constant 10 N/m. The object is displacezmdb,m,p a5,v,b4ex2j,1h fhzz7 y rkd 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 spring constant 18 N/m, displaced sli1x*97r 5tdy(sys is yjghtly from its equilibrium position, and released. What is the frequency ofx j(y*it51dsy9sr7sy its vibration?

  A mass is attached to a spring. It oscillates at a frequency of 1.27 Hz when d9:l,6)* hwlcuxmguu +2rualy/2cf igisplace/2:u*9ur2 llm+fx ic6caguylwg)h u ,d a distance of 2.0 cm from equilibrium and released. What is the maximum velocity attained by the mass?

  Two masses, A and B, are attached 7 si,u)nj cmkp/,wad 1ws 22hsto different springs. Mass A vibrates 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. Ho pwj/uw2sc,, sdik s 1ham7)2nw does the maximum speed of A compare to the maximum speed of B?

  A 0.30-kg mass is suspended on a spring. I-ob27qprz 5xr n 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 tz2rrp7-5oqx b he period of oscillation.

  A 0.30-kg mass is suspended on a spring. In equilibrium,fu) 0ycdn*swjwn.+l the mass stretches the spring 20cy uwfnl +* ,jd.n)ws.0 cm downward. The mass is then pulled 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 the mass stretches the 99m3q.ld 587dj3,vaqg c ytmj ylc7zgspring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm dj78zl5vj7,l9a9m q3y.dm 3c tcdqygg own and released from rest. Write down its equation of motion.

  An object in simple harmonic motion obzvv30yd jkby6y 3yta32 )e6n xeys the following position versus time equation av yd3 32ynyke)v3ytj 0z66xb:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys u2 kc*rqr gx:8sv)ds9 the following position versus time equaticsq)r*dr9s 28ux k v:gon:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following posita(8awcvxz( j3ion versus time equation:3 cvx8(ja(wa z
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple h2wb0ujg kea 21armonic motion accordi 21gbw 2jea0kung 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 wi7u0q(*r7 aj( qwkcnlpth 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 uq7 pc rnw(l*(q ja70kcm. (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. xl:d-jfniu , x,o45fp (a) What are its frequency and period o:fux,5fj ip,4lxd n-on Earth?

  A 3.00-kg pendulum is 28.84exu k6*0 ;a-p3 qr)qyxij dug9 m long. What is its period on Earth?

  A pendulum has a period of 2.0 s on Earth. What is itss /g;f7eg7w,ndss vfx.p 8na2 length?

  The pendulum of a grandfather clock is 1.0 m l77ujyk4ae)8y fin6 q;ah7 8xjcpcf ;l ong. What is its period on the Eartq;ipjncau6yc8fkyxea 7748h ) fj; 7lh?

  The pendulum of a grandfather clock is 1.0 m long. What is its period 1g /vpwu:nj 0g3 my3bson the Moon 3m1s/b0 puvj:g y3w ngwhere the acceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum co ra2m 7ci sp7b8 6uxlom-c+bc0nsists of a 0.25-kg spherical mass attached to a massless string. When the mass is displaced slightly from its equilibrium position and released, the pendulu pcm2b7ls riomx0b8 c7c +-au6m 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 h2h,v+k- ry)m* tvxzf( zw.wruas initial angular displacement of 8.0e. It oscillates with a period of 3.0 x2(*z-vtf) .hvw wuzk,+yrmr 0 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 timeu )czwaktl 6fa:(a2e/q: jy f0. The frequency of the wave is 120 Hz. What is the a:j6 c2t):zk/u 0qlwf (ay aefamplitude?

  Figure 11-2 is a "snapshot" of a wkhp+f9v26eop(2wc3b is th gev/ yo *(ave at a given time. The frequency of the wave is 120 Hz. What is the wavelengto* 9e 2v kcfo w/hpe6py+tgvbh((2si 3h?

  Figure 11-2 is a "snmulo85:bfziq b ka(mp)b82 ;t apshot" of a wave at a given time. The frequency of the wave is 1)lmo b8k ;bbq82i mt (5a:zupf20 Hz. What is the wave speed?

  What is the frequency of a wa; z0mco o j-f38(rggevo*e0 nave which has a period of 6.00 ms?

  What is the period of a wave with a frequency of 1500 Hx2g sigqq6 nl8 e(v,dx7e c93eol99x,ij2tq i z?

  What is the wave speed if a wave has a frequency of 12 Hz and a wavelrtriu)-u-0w o2 w:agnength of 3.0 m?ruw2t )i-noawg-ru 0:

  What is the velocity of a wav qzv:nxxu::fyg:y 5 -le that has a wavelength of 3.0 m and a frequency of 12 ::xn:qz5 vy-fxl u:gy Hz?

  What is the frequency ofimkcm3vn+h. mwtv9 (/z 6m 4pf a 2.5 m wave traveling at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is under a tension oflzm9xu ;ywgro sz*8 71 1350 N. What is the wav8yorx zmgw71z us ;9l*e speed?

  A string of linear density 6.0 g/m is under a tension of 180 N. Wh7g e w,8eoxze:at is the velocity zeo:,8gxee w7of propagation of transverse waves along the string?

A wave whose wavelength is 0.500 m is traveling down a 500 m long wivm3g .8px1hcv1xg p9 ure whose total mass ishxc 8v .xm19v1pp ggu3
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 tra;* usfdx6m -fbnsverse wave on a 2.0-m long string fixed at both ends is 200 m/s. Which one of th-f6 m fds;ux*be following is not a resonant frequency of this string?

  If a guitar string has a fu3 z1-)heuktn az44lrh ndamental frequency of 500 Hz, which one of the following freqrklh4 n-az3etz1h u4)uencies can set the string into resonant vibration?

  A stretched string is observed to have four equal segments in a standing wl ldv 3q) l)z peda.8io)e6r)yave driven at a frequency of 480 Hz. What driving frequency will set upd 6l.ilp)z)a)rd3ee lyqo )8v a standing wave with five equal segments?

  A string, fixed at both ends, vibrates at rj vg3t;rp hfyu5r-*(a frequency of 12 Hz with a standing transverse wave pattern containing 3 loops. What frequr;hu f-vrtj53gp*( yrency 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. Why7sz.z m5qij: )b)r(g*ln7 ubtj ntb/at should its leng5jstb)) 7zln /(zryu.7i:qt* bgnbm jth be if its fundamental resonance frequency is 220 Hz?

  Find the first three harmonics of a string of linear mass d o 4:oaxeaofiade.1xs lc6: (*ensity 2.00 g/m and length 0.600 lo isoaxoc4(e :*aad6:xef.1 m when it is subjected to tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. When the striyhd ydgd5z*pvj8q72bs9h k/6 ng vibrates at a frequency of 85 Hz, a standing wave with *dbysv5pk7h/6 8 dgjd 9zy2qhfive 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.