The time for one cycle of a periodic prock .4j39ap ibyoess is called the

  For a periodic procej -ivkk6st ota+(f.ji3,fc:bss, the number of cycles per unit time is called the

  For vibrational motion, the magx*h1e6 f8ee sixqv24ximum displacement from the equilibrium point is cag qe2h8ie1s46v x *efxlled the

  A mass on a spring undergoes SHM. When the mass is at its itbf(* e0h4(kxh8k a ymaximum displacement from equilibrium, its instantaneo(keh 0b 8h4 txa(fik*yus velocity

  A mass on a spring undergoj-qe*jb-n dj94gg9 (kki py c+es SHM. When the mass passes through the equilibrium position, i-j9kqjg- (ikn bc+9e4dgyp j *ts instantaneous velocity

  A mass on a spring undergoes SHM. When the mass is at maximum xppt0gn0g/z; +0uhxy 3y/oiwdisplacement from equilibrium, its instantaneous acceleration y/op0/;0xy xgguwpin 0t3z+h

  A mass is attached to a ve;krhl nofq(h0 m5k6n3 rtical spring and bobs up and down between points A and B. Where is the mass located when its kinetic energy (l0hf q3onn hkmk5;6 ris a minimum?

  A mass is attached tryyxn-u/ 9ch7o a vertical spring and bobs up and down between points A and B. Where is the mass locatuyhn/rxcy7-9 ed when its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up and dun 35(pvcb+/atia 8iq 3 gi:pdown between points A and B. Where is thein3d8qi/i gu 3b(atcvppa+5 : mass located when its potential energy is a minimum?

  A mass is attached to a vertical s, fuwfe/a(z,g0u1t hapring and bobs up and down between points A and B. Where is the mass located when its potential energy is fe w/1 tf( zau,u,hag0a maximum?

  Doubling only the amplitude of a vibrat8+u:s. l-uokpw xixp5m3 xsjwa n /2q0ing mass-and-spring system produces what effect on thu/ wmos+:0qx5a8n p . 2kup xsl-3jxiwe system's mechanical energy?

  Doubling only the mass of a vibrating mass-and-spring system producm3q 2wch i a 29h6sbta.t-cro5es what effect on the system's mechanicaw c.59ht3tcqa 6o22 msh rbia-l energy?

  Doubling only the spring constant of a vibrating mw.ji9yo( :f2ev e3k czass-and-spring system produces what effyv(ikcf.wze 3o9e2: ject on the system's mechanical energy?

  A mass oscillates on the end of a spring, bothl:e )zf+d/ -7d eef;3g;jg7qpel m ilz on Earth and on the Moon. Where is the p7/gl lj qedfle: p ;f)gzz;m- e+eid73eriod the greatest?

  Increasing the spring constant k of a mass-and-sq p2txx ;t3gotw11t) fpring system causes what kind of chan t11qx 2t;o3xtt wp)gfge in the resonant 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 kind of chqss5p. 6nq 5txange in the resonant frequencst q5. 6sx5pqny of the system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system causes what kind of chpf03gbm nocf9y7ml04 nesq:()9n xr vange in the resonant frequency of the systee(7 xnyo34rl n fc 0p09qgnfmsb:)m9vm? (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 attae)/g5zi ws g+*w yo4;z 5ozd qn7s+ sc:g3lzemched to a weightless string of length L. For this sy5*s w+ms743:/ cqigy;z)lwed e5+ gsnzogo zzstem, when undergoing small oscillations

  When the mass of a simple pexcc g)z7lu / x6oi/6mxg3/y dy k.k)szndulum is tripled, the time required for one complete vi6 o/x7zskx / )6u clk3ydg) zxcim./ygbration

  Both pendulum A and B are 3.0 m long. The period of A is T. Pendulum A is twice 3t a9jxm6azhnjsi7p+ ;bn97m amzn9nsai3 p jxm;j h6+9 7t7abs heavy as pendulum B. What is the period of B?

  When the length of a simpdo,qw-)6.buzu m zm: ple pendulum is tripled, the time for one complete vibration increases by a factor of :mw-zudmb z u6qop,).

  What happens to a simple7c ubg;whj7 lzrr+1a / pendulum's frequency if both its length and mass are incrr7wgbu;cj a r7+1l zh/eased?

  Simple pendulum A swings back and forth at twice the frequency of sidbtetwi2jfh0bchud0-8/- : dmple pendului0bdh/ bt82hj 0edfd t- wu-:cm B. Which statement is correct?

  If you take a given pendulum to the Moon, where the accelej6pvx/ ox.he/b*+d)bm 0rz nxration of gravity is less than on Earth, z+6xv/ .bre)/ohj 0mpd*xb nxthe resonant frequency of the pendulum will

  Curve A in Fig. 11-1 re2ld -9 wdboilspmqi:;nq1t/(presents

  Curve B in Fig. 11-1 represento e .i6zmd7jemf aie. p mozuu *.)4p8y6i*a0fs

  Curve C in Fig. 11-1 rl blf8c9i-n 0hepresents

  For a forced vibration, the amplitude of vibration is found wplxgs u1 mi urku83,8;a1nb3to depend on the

  In a wave, the maximum displacement of point j+nzc0tc+t g)*+fr /r mdcsu*v3is 3us of the wave from equilibrium is called thegc)ruz cf3**c3+/0u+ rvsmjd ni+ stt wave's

  The distance between successive crests on a wave is called thsupfeciomgdvp1vv *1 74 ; mqi5h,.4ie wave's

  The number of crests of a wave pa6i7 c/h/ysp eessing a point per unit time is called the wave'se/ei6p hscy/ 7

  For a wave, the frequency timrol2x p9yhbd,g.i* x, es the wavelength is the wave's

  The frequency of a wave :qmvg x4:q(fga5; vduincreases. What happens to the distance between successive crests if the :qgvavfd ug(4xq5; :mspeed remains constant?

  A wave moves on a string with wavelength l and frequency f. A second wav te** vmas/xhqm/0 *whe on the same string has wavelength 2l and travelm/hsx th aq0 m*/e**wvs with the same velocity. What is the frequency of the second wave?

  Consider a traveling wave 62:vgbb qe)kf1 j 6fur*jpfa0on a string of length L, mass M, and tension T. A stae grvj uj016f)fqb 62ab:p* fknding 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 wavz*- uzdg)u b3 29bdtzee in the string is v. What will be the speed of a wave in the string if the mass of the string is increased to 2m, with btuz3zu)*g e-b9zdd2no change in length?

  A string of mass m and length L is under tension T. Tvmqtamj5 x5o-ms) 54khe speed of a wave in the string is v. What wills) m -m45jaxkq5 5tmov 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.ess +)2t abjj0 The speed of a wave in the streas tj0sj+ b2)ing 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 is a transverse wave. As an S wave traveqzgt dw-h9 8 blrfxd7rahou (z/id n16g 4/0d-ls through the Earth, the relative motion between the S wave and the partdzb6x 8qh 9uhzdg4/i/rdr 0wg7 d1ol--a(nfticles is

  In seismology, the P wave is a longitudinal wave. As a P wave travels 5zr-i + v3r puetka*kc)x5x 2z6u2uru through the Earth, the relative motion between the P wave and the parx rirr2uk 5)2t5+cp u-ue x6v3ka*zuz ticles is

  The intensity of a wave axlyxse /osa r. +7+3qis

  A wave pulse traveling to the right along 143kmh cbfb b(a thin cord reaches a discontinuity where the rope becomes thicker and heavier. What is the orientation of thebcb3b kf(1h 4m reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass +8i:myhsj tl 9h+rmp9 each other on a string, one is traveling toward the right and the other toward the left.s:l+jh tr phmy8+im99 At the point that they occupy the same region of space at the same time

  Two wave pulses pass each other on a string. Thecyu cmx,f( t vm:)1naa1g9lczor:9*x one traveling toward the right has a positive amplitude, while the one traveling towary 9x c nm(cgvac9t,o) x:mulf:1r1z*a d 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 ends, occurs iiv+nx iwz;l:c1l2itwu7w gl.f 9o9 6 when

  If one doubles the tension in a violin string, the fua t ;z6e lxbc;n.oke9,ndamental frequency of that strino axl6ekc;t z 9ne,.;bg will increase by a factor of

  What is the spring constant of a spring that st;q0ke s (8b6inusgs,xretches 2.00 cm when a mass of 0.600 kg is suspendxkess b,u 6;( insq80ged from it?

  A mass is attached to a spring of sprzovz 4w6 2j9dep c8fy7ing constant 60 N/m along a horizontal, frictionless surface. The spr dz cv4287e z9p6yowfjing 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 amplitude?

  A mass is attached to a spring of spring constant 60 N/m along a horpkae(0jst3+q76 )r 1c zh tmlpizontal, frictionless surface. The spring is initially stretched by a 7er1 qpzjp0)tthls6 +mca3k( 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 kpyi-92k g hz9; )fz(+mo 9uv* euiolnof spring 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. mk9ue(vyk z u9i;f92-* nzlpo hi+)og 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 oscillations i58:cjlabuqr w 1dp3sb2rd0x 7n 5.0 s. What is the perio:rjw271 53sbpdl rdu qa0cbx8d?

  A mass vibrates back and z-d:8so02 xn1 -fcnchdlr m0i t 4h9knforth from the free end of an ideal spring of spring constant 20 N/m with an amplitude of 0.30 m. What is the kinetic energy of -4zcdor2 k 01 xn9:dni0s8hltfm h-cn this vibrating mass when it is 0.30 m from its equilibrium position?

  A 0.50-kg mass is attached to xj148 difkj*q2hm- tga 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 equilibrium position. What is the total energy of theh*1j2q f j mt8-4kxdgi system?

  A mass undergoes SHM with amplitude of 4 cm. The energy is 81*e -8ym3nrnv /lrvu5 mvl/ yx.0 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 now?yvry/v*en 358 nmlr/ m-xulv1

  A 0.50-kg mass is attached 3z2mlr e qdmrqc 41,-bto a spring of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple,ec rd-m 3lqzq b42mr1 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 attached to a spring of spring constant 20 N/m al4 4absc,vxdx2m4w g ,vong a horizontal, frictionless surface. 2 4vdgc4xvxw,as,mb 4The object 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 a horizontal spring of spr0* wtj qk* hyg-1qou)w2rr1iv ing constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 mhjv*2)1w qg*t r o 1wrkqu-yi0. What is the total mechanical energy of this system?

  A 2.0-kg mass is attached to the end of a horizontal spring oq r8*hmbs;ful19ab2q f spring constant 50 N/m as; hrabm8l f uq1bq*29nd 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 fr z;*qerrx:;thnes606t m x c4wom the free end of an ideal spring of spring constant 20.0 N/m wit0e: cen mxz46 wq*r6r;t;xsthh an amplitude of 0.250 m. What is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring c+;0qjgpwsw. vu/+th system is displaced 10 cm from its equilibrium position and released. A frequency of 4.0 Hz is obshsgw/0cj.tv;u p ++ qwerved. What frequency would be observed if the mass had been displaced only 5.0 cm and then released?

  A 4.0-kg object is avom1c4( rb.m l)sq5fj bek 4o97xl(m mttached to a spring of spring constant 10 N/m. The object is displac.94mc l 4bmf(lrm(qsej57ob )vkm 1xoed 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 10 N/m. w p.kxdz f4a-3v b/kf, The object is displaced bbd4,. /v3apwfxz f-kk y
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 spri0lxq9+5 prb b27v nxsong constant 18 N/m, displaced slightly from its equilibrium position, and released. What is the frequenc7lbxb9s +vx0rno25 qp y of its vibration?

  A mass is attached to a spring. It osc4xhernw e6w/heyz7rh- rbrf4 ,+nr7 os 8(1diillates 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 7rrenfoh8,4h rh/6 dz i 1-rny7(+xwbs4eer wthe mass?

  Two masses, A and B, are attached to differ9y0fh8kb2ds-u7ceom1r sojg x5 ) n0uent springs. Mass A vibrates with amplitude of 8.0 cm at a frequency of 10 Hz and mass B vibrates with amplitude oerxm o y9sgo2h0 dn87k) u5bf0 uj1-scf 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 mass si09,zz7qs; s5t,g; p gnur iahtretches the spring 2.0 cm downward. The mass is then pulled an additional distanceus 59tn 7,gz ;hq0 p,grii;asz of 1.0 cm down and released from rest. Calculate the period of oscillation.

  A 0.30-kg mass is suspended oz)p3uh ,sd3 egm+-q hu+umje:n a spring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additionm+e 3jque)gh m d,uh u-:zsp3+al 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. I+ tpk41avg4dh 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 fh14v pkag4td +rom rest. Write down its equation of motion.

  An object in simple harmonic motion obeys the following position versus t)*fcwq1er . x8t3o ajvime equat*8xwjrcetaq). f3ov1 ion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys th b5 /i1fiu3hkd4*5 y5oppw mage following position versus time equationgk5md hy1 w* iaoi5b 5u/3pf4p:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys pa.bhyuq) )):k,lu ohthe following position versus time equation qbh)p:oky,)a luu)h.:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the ;ahcu1ghd vz;p.y6(j free end of a spring executes simple harmonic motion according to t.1(6vy p; cah hd;guzjhe 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 oscillatek )ek97:ru mhgzasndf;r7l. , s on a horizontal, frictionless track. At t= 0, the mass is released from rest at x= 10.0 cm. (That is, the spring is stretchedk7ezfa g ml7 du,)nr;.h:kr9 s 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. au w,;ey:tg n/3w9k9/sfm fcs:mk)ot(a) What are its frequency and period on ft:u3mwf9 s wack: ke;og9n/, s ym/t)Earth?

  A 3.00-kg pendulum is 28.8 f e;y/2uha+kr4 m long. What is its period on Earth?

  A pendulum has a period of 2.0 s on Earth. What is it d/e -dip jq3wvsji;4+uq8nf *s length?

  The pendulum of a grandfather clock is 1.0 m long. pg +it;7vlz3vcuqhe3 g9h+) sv s,lm0What is its period on the Earth v,qzt73l is3pgv90v )hlg+uecmsh +; ?

  The pendulum of a grandfather clock 2vh0v)+ti t6) s(j,sdvzrxdx.d zr3tis 1.0 m long. What is its period on the Moon where the acceleration duezd03 6)(,iv)t+x . z2rjvtxddhvrsst to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attac9 bautm/4+9c 79mj9o-d ym bjmoi xvk5hed 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 (jt5mmoy9bk /9 ujcmd -ix4ma9b +9o7 vsame diameter sphere) had been attached to the string instead?

A simple pendulum consehq.xgn mt b*9 *lf;e10c 0pzbisting of a 20-g mass has initial angular displacement of 8.0e. It oscillates with a period of 3e* ;cbbeln00h1*t pxg9q mfz..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 tz1u w 4ergyw3kx;5z0 :yasg-k q 1.izqime. The frequency of the wave is 120 Hz. What is the amplitude?qz gzkz1;s-u.5k y3w1:awre ygi q40 x

  Figure 11-2 is a "snapshot" of a afg,ai aq9(b/ u4-xrnrjn g;2wave at a given time. The frequency of the wave is (-49j aqnuxa gr n;b,2ifr ag/120 Hz. What is the wavelength?

  Figure 11-2 is a "snapshot" o5i; /wyosq0xm* ;rqel f a wave at a given time. The frequency of the wave is 120 Hz. e ;0/5 rmq;ls xowq*yiWhat is the wave speed?

  What is the frequency of a wave which has a perio/ibeu,1+us wrj gm39 od of 6.00 ms?

  What is the period of a wave with a frequqduftux (znknt -btd j6:1;g6u z:3q-ency of 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 wh +d(.n6( flw+ ym ,tcvkit.xHz and a wavelength of 3.0 mv kfti x+. l.wynwtm(h+6,dc(?

  What is the velocity of a wave that has a wavelength of 3.0 m and a freq 2ooe95zvk+kdfnx c)8uency of 12 Hzov8e c+zo 59n fxk2)dk?

  What is the frequency of a 2.5 m wave traveling a gmpvsh950w9 ay4+si it 1400 m/s?

  A piano string of linear mass density 0.09be wzj8tygia.( ilx1/q f.2 i050 kg/m is under a tension of 1350 N. Weif1y lq g9aiz(8/.wi2 jb x.that is the wave speed?

  A string of linear density 6.0 g/m is under a tension of 180u,x1 m2gkfub0ss:z w / N. What is the velocity of propagation of trsx:2su 0 ,g1 fw/umbzkansverse waves along the string?

A wave whose wavelength is 0.500 m is traveling down a 500 m b4 m,patvhf0 8kii dm ba9rim-c 4i,p:(74pt dlong wire whose total pfrk t,mab49a4v :dc47b0iiihm di ,8m(pp-tmass 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 wxrmxxh-n2h6dd)du)0 ave on a 2.0-m long string fixed at both ends is 200 m/s. Which one of the following ishxdhu xm)d6x)20n r -d not a resonant frequency of this string?

  If a guitar string has a fundamental frequency of 500 Hz, which one of thm,7c*.nfx-e 0dz g puhbg5x +ue following frequencies can set+*d n 5 cuhzbmupgx0e fx.,g-7 the string into resonant vibration?

  A stretched string is observed to have four equal segments in a standing wave dr4xmea5 ,gi4y0l i-eutiven at a frequency of 480 Hz. What driving frequency will set up a standing wave with five equal segma-i,yeu t 4igx5lme04ents?

  A string, fixed at both ends, vibrates at a frequency of 12 Hz with a standing tm32xx/g4 s zr0 dm7kjiransverse wave pattern containing 3 loops. What frequency is needed if the standing wave pattern is to cijg 3x 0zx7r/sdm4mk2ontain 4 loops?

  A string of linear density 1.5 g/m (cejmxk;5b0v d tw 2q 5yurz:n-ga:h e-9*twjis under a tension of 20 N. What should its length be if its fundamental resonanyecud5-:j :rmjw2bq;x 9kztwv*he0 -at 5n(gce frequency is 220 Hz?

  Find the first three harmonics of a string of linear mass density /a + gx2k jr;*rnb(zvv2.00 g/m and length 0.600 m when it is subjected to te;var(bj+ x kg/2*zn vrnsion of 50.0 N.

A string of length 2.5 m is fixed at both ends,3zkinjv5:+qv0p izd. When the string vibrates at a frequency of 85 Hz, av vd+nz5k:p z3 iiq0j, 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.