The time for one cycle of a periodic process is called*tj 7qra-0vn*r*p sldzz/vs. the

  For a periodic process, the number of cycles per unit time is call(:)7bp2lresq. ecayf*zu k7 jed the

  For vibrational motion, the maxekz d6,-ia:u uq1* usximum displacement from the equilibrium point is called a* isuxk-6zuued:1,qthe

  A mass on a spring undergoes SHM. When the mass is at its maximum disn12oxqx9e bczb2w c02placement from equilibrium, its instantaneous velocn9qbw0 eb cx22o2c 1zxity

  A mass on a spring undergoes SHM. When the mass passes through t e5ax +* i zk(vwr.erm/eqfli14w 6.nqhe equilibrium position, its instantaneous velz.+iwe1(5l nxv *arw4m6/q.i ee rfkq ocity

  A mass on a spring undergoes SHM. When the mass is at maximum d( aue2da1+o8r s)tkuoisplacement from equilibrium, its instantaneous 8ak o(tues1dr)2 u+ aoacceleration

  A mass is attached to a vertical spring and bobs up and down between points A +d/ tsm2y*r;*k.d/t;i j mhd lvrt z,gand B. Where is the mass located when its kinetic energy is htk,/r mvgitj.2dtd* ;ds/y r lm +z*;a minimum?

  A mass is attached to a vertical spring an7 oh+gurt6j:a d bobs up and down between points A and B. Where is the mass located when its kinetic enuo j:h+ra6 gt7ergy is a maximum?

  A mass is attached to a vertical spring and bobs up and down between po rtjotj1f 3*1hp v7.koints A and B. Where is the mass located w 1o3fjpk1rt v.*hjo7then its potential energy is a minimum?

  A mass is attached to a vertical spring and bobs up and ohsrk;84/l2sw o gu8 sdown between points A and B. Where is the mass located when its potential energy is a maxims8s8og/ urokwh l;24s um?

  Doubling only the ampy o3o 8ml+oeg5litude of a vibrating mass-and-spring system produces what effect on the system's mechanical m 3eoo5+ yogl8energy?

  Doubling only the mass of a vibrating mass-and-spring system produces what ef5xae5km4l1pzxlz -) yfect on the system's mechanical ex-z a1lkpz4m5y5lx)energy?

  Doubling only the spring constant of a vibrating mass-2gt7nrd9 w*2-z)ubs5knm 4j rxm:vc s and-spring system produces what effecxs-)r*tbkm94cdng s2j: 5w r27 mzunv t on the system's mechanical energy?

  A mass oscillates on the end of a spring, both on j7k8ro k*lc78fs0z( iu3v wpmEarth and on the Moon. Where is the period o7c k 738w8pkl(i0fv mjuz*rs the greatest?

  Increasing the spring consk+4:a:/3lmw re,tv i vn oq(tftant k of a mass-and-spring system causes what kind of change in the resonant frequmvq,/:i4eot3 t( vfl: nrw+a kency 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 ov3,lu;a l/ro nck*0qof change in the resonant frequency of the system? (Assume no change in theq0; l lar*vuc/o ok3,n system's spring constant k.)

  Increasing the amplitude of a mass-and-spring syst s3n1- *mb8sfdq3cx jyem causes what kind of change in the resonb-j8 scf3d*x3yn 1q msant frequency 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 strin u 6uim iz1xpl w9c2pnrf;28rs 4cd99xg of length L. For8p949r1c9xx2s6impdc;f u wirzn l2 u this system, when undergoing small oscillations

  When the mass of a simple pendulum is tripled, t 93yfm38j.agnmo j-q ghe time required for one complete vib3mgnjm8-ajfg .3q9y oration

  Both pendulum A and B are 3.0 m long. The period of A is T. wx9i .q h6r(dhPendulum A is twice as heavy hw (6 q.xid9hras pendulum B. What is the period of B?

  When the length of a simple pendulum is tripled, the time fo:y2 b7e,vadvgr one complete vibration incr,bvvg27e: a dyeases by a factor of

  What happens to a simple pendulum's fr h8voag,j0i2hequency if both its length and mass are increasiv a0,2jh 8ghoed?

  Simple pendulum A swings back an:q a*3gx zjr/- zqhor/d forth at twice the frequency of simple pendulum B. Which statemex og a/jzq3r /zhq*-:rnt is correct?

  If you take a given pendulum to the Moon, where the acceleration of gr ax5 +dx+g:jjd9kf1ul avity is less than on Earth, the resonant frequency of the pendulum willd:g9x+d ju5 +f kla1xj

  Curve A in Fig. 11-1 reolqnmz4: x, -md8vs0epresents

  Curve B in Fig. 11-1eg3n aho5aqwioo6 r(k 3ho,1 . represents

  Curve C in Fig. 11-1mx./g d(5 yhfu represents

  For a forced vibratira(+w(+ cqbza on, the amplitude of vibration is found to depend on the

  In a wave, the maximum displacement of poin7 ki2w) ka)lquts of the wave from equilibrium is called the waaki k) 7)2wuqlve's

  The distance between successive crests on a wavvc80m(ye koc2 z q)s/hhmw c((e is called the wave's

  The number of crests of a wave passing p3m+ yi6 0vfid7se7d6b rh9ska point per unit time is called the wave'ss+ipdy0 i3 behr7 796dmk6s fv

  For a wave, the frequency times the wavelength is thryux /:i tmo ;y:k1b+ke wave's

  The frequency of a wave increases. What happens to the distance b,evy7uj 4x8cbnnepqd8 (aw 8 -etween successive xnvu8y(4ade8-e ,8w7np j qbccrests if the speed remains constant?

  A wave moves on a string with wavelength l and frequebbgz5,9kkf+iwz o*uan /3 oy/y y(8utncy f. A second wave on the sa/bnw+bzfk5,o yu9i /y z*ta(y3go8kume string has wavelength 2l and travels with the same velocity. What is the frequency of the second wave?

  Consider a traveling wave on a string of length L, mass M, and tension Th4dea 0s :3 d7*zhdgpwayyx ,/. A standing wave is set up. Which of : x7 a0hyhaedgp3 /wsz*4,ddythe following is true?

  A string of mass m and length L is under tension T. The z -s- x4wmny11a; uknfspeed of a wave in the string is v. What will be the speed of a wave in the strin 1;f-w -kn xsyuz1nm4ag 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 speu,f,itwcc: nf qm)w 7-ed of a wave in the string is ,ti :c quf7,- w)wfncmv. 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 tensionxh354hd 1 :n-mz jfhnb T. The speed of a wave in the string is v. What will be the speed of a wave in the string if the 1h n534nx:hjfbz- mdh tension is increased to 2T?

  In seismology, the S wave is a transverse wave. As an S wave trave/ og w7yov9)i5wvsw7o ls through the Earth, the relative motiovow9w5si)gy7wv 7/oon between the S wave and the particles is

  In seismology, the P wave is a longitudinal wave. As a P wave travn/ /wav7c tpw-els through the Earth, the relative motion between the P waw7t/aw v/cpn -ve and the particles is

  The intensity of a wao 9 m8s .3fjj *hx7gue2tcjil4ve is

  A wave pulse traveling to the right along a thin cord re+mrzburr,m 5 1aches a discontinuity where the rope becomes thicker and he1r mu5bm r,zr+avier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal posi,-zq m:)herf itive amplitudes pass each other on a string, one is traveling toward the right and the other toward the left. At the point that they occu:r hm )q,i-fezpy the same region of space at the same time

  Two wave pulses pass each ogyx4t0pguz5(r8k+z d d0bf 6 cther on a string. The one traveling toward the right has a positive amplitude, while the one traveling toward the left has an equal amplitude in the negative direction. At the point that they ogd 6(4rb0 +fz8ptkux5 0yzdcgccupy the same region of space at the same time

  Resonance in a system, *an:o ec4dj*ppz pf2+ such as a string fixed at both ends, occurs when

  If one doubles the tension in a violin string, the fundamental frequen5c6*h/ifiv 4floclj d yce9 14cy of that strin/*c5c4i9hilo fc4ef 1v6d ly jg will increase by a factor of

  What is the spring constant of a spring th8e(q57 t4fj*zqrbuu sat stretches 2.00 cm when a mass of 0.600 kg is suspeq7e4*sb uju5z(f8qtr nded from it?

  A mass is attached to a spring of spring consta+j;u)b( kppp5 fgixyn6xeo7 yn; cu19nt 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 position6c+penx;1xf; jo5 u(bp nu7k yp )g9yi when it is oscillating. What is the amplitude?

  A mass is attached to a spring oh*qiqn; * p/5l6zby4ko bv9ktf spring constant 60 N/m along a horizontal, frictionless surface. The spring is *9 l n;4k hokybq6*bqzti 5/pvinitially 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 period of oscillation?

  A mass is attached to a sp *bn1gkkews 4x..80d(m cs; oydwts9u ring of spring constant 60 N/m along a horizontal, frictionless surface. The spring *e(4.m9gus dws1 o tk ybxw8dc;0s.k nis 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 of oscillation?

  A mass on a spring undergoes SHM. It goes through 10 complete oscillations gfod a 7kel9k8-ganc 43/:k 3wa gkm1oin 5.ga adkf3cw og 9lk e8a-kgk3:7m14n/o0 s. What is the period?

  A mass vibrates back is;,s /i cjgtx/k7pp+ and forth 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 this vibrating mass when it is 0.30 m from its equilibrium positks+cix, 7/pg ;jtpsi/ ion?

  A 0.50-kg mass is attached to a spring of sbjj;sbe /kx 8q7f/il+pring 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 the s+fj/ 7bke qli8bxsj/; ystem?

  A mass undergoes SHM with a:z3 r.p ;hf dg3hurmu*mplitude of 4 cm. The energy is 8.0 J at this time. The mass is cut in half, and the system is again set in motion wizr3*r 3 uup dhmgf:.;hth amplitude 4.0 cm. What is the energy of the system now?

  A 0.50-kg mass is attacs6 w3x0ab c w54ksrno+xp 7u-ahed 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 equilibrium position. What is the amplitude of04o+6 37a -an pkwxwursbc5xs vibration?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m along a horiz2c6t6 uwxq iz5) uwwg*ontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s at the equilibrium position. At what location are w5u )w6t2wiqgzxc6 u* 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 co. l.,ilor6p innstant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the total mechanil6pr ,i ni.l.ocal energy of this system?

  A 2.0-kg mass is attached to the end of a horizontal spring of j(..zdpxa e5 ) ( cl8v vexjj(+ewvhf5spring constant 50 N/m and set into simple harmonic motion with an amplitude. aj)(fevc +v5e5 vxz(8p(xh ejj.dwl 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 ideal spring of spriw3.o4 4gf jgk etq5a)hng constant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kiaj4wo4e3q.gkt)h g5f netic energy of this vibrating mass?

  The mass of a mass-and-spring system is dispmn w jl2p m2v:r3/p.xolaced 10 cm from its equilibrium position and relemjo/l2.nx32rwmpv p : ased. 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 constan1b6;di r t2h evr/jo,ut 10 N/m. The object is displaced rj; /,6o bir u1dhev2tby
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 *lcctpoa+ab5*d e38 uxczu7hk0w 5k7 10 N/m. The object is displacee5bkuw cpd7 oak lc ac**x+z87u5 03thd 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 spri qn-(m+cxa)jzng of spring constant 18 N/m, displaced slightly from its equilibrium position, and released. What is the frequency mcjan q z-(+)xof its vibration?

  A mass is attached to a spring. It oscillates at a frequency of 16rexk51 n:0zbnhy uu;.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What is thezr 61ynue h:;0xnubk5 maximum velocity attained by the mass?

  Two masses, A and B, are attached to different sprip-* tblc jr-f-ngs. 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. How does the maximum speed of A compalbf-ptj-* -cr re to the maximum speed of B?

  A 0.30-kg mass is suspended on a spring. In equilibrium thbh 6i5z.m2e q *pspft/e mass stretches the spring 2.0 cm downward. The mai e /t.pp2z*bfs56hmq ss is 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 suspende lh*,vw+5x)722d gjx trgtkm kd on a spring. In equilibrium the mass stretches the spring 2.0 cdt k5gtg 2 x7w rk+)jxv2*lm,hm 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 strl9u eob0( dte dc-t5qqmos645etches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and released from rest. Wrt46m e9 0-qqc bsleuo5( odt5dite down its equation of motion.

  An object in simple harmonic motion obeys the following posit/iq31 xe+ x, 7 lrvqvzxvg*p:b 8o2jzxion versus time equation7b 2q xx 18qrpzj+vl/v*:ive,z ox 3gx:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following position versus timen keu q( tkuy*;h+ yp3de e(zdj*7.hj4 equae* ynj(;e+7h(yk e4d.*3qk uu jzdthption:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic9 5oj /nrabmn;r(14li ;qw2w nzir. ph motion obeys the following position versus time equation:mz w/b;n4r j5lnharnp1. wq9iio(r2;
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple harmonic mot.j 6+r( so xikg9 geeu3ebb1+in.6q mcion according to the emeinjkxi (6 b+ gs .u1.eqocgr9b+63 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 os.:ts i oohso36cillates on a horizontal, fro soho3.6i t:sictionless 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 in 8.0 s. (a) What are its frequency ae ;d mg;v5;krund period on Ead;5ugmr ke;v; rth?

  A 3.00-kg pendulum is 28.84 m long. What /agvc-eb5 6wqoag/ivo;6v,l is its period on Earth?

  A pendulum has a period of 2.0 s on Earth. What is its mfg0y318 pyio j3 z0xklength?

  The pendulum of a grandf9u4- 7qwhql9necuj 4vather clock is 1.0 m long. What is its period on the Eartv7nu ql- 94eu94 qchwjh?

  The pendulum of a grandfather clock is 1.0 m long. What is its period o + uwy 4 (hch.h0ivu+za;-ipltn the Moon where the acceleration due to gravity is onl4z.ta;+ hic0 hui -uvw(+yp lhy $1.7 \; m/s^2$?

  A simple pendulum coi- t wwcog-8,unsists 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 pendulum swings back and for-icg o,-wut w8th 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 ha5 :1dqmdfs4w is initial angular displacement of 8.0e. It oscillates with a periows5d:ifdm14q d 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 ofd9gs1,z wpq;kdj5y5 e the wave is 120 g1 5qy9edkzjspd5w , ;Hz. What is the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a gj4uj;glbj76z:b f j5hc gr1e0iven time. The frequency of the wave is 120 Hz. What is the wavegzu cbrj1j7 5flj:;ebh6g0j 4length?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency of the wd 3,un9 kgv5lrave is 120 Hz. Wha l5nkud, 39rgvt is the wave speed?

  What is the frequency of a wave which hvr 1 fhf6u4dxjhw5;s wk h;.cz08je s,as a period of 6.00 ms?

  What is the period of a wave with a frpp+qb:u (k6ecequency of 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz arsc. (ed6a)ei4ql .xhnd a wavelength of 3.axcehl6di .eq r s).(40 m?

  What is the velocity of a wacrdj3hx o -.f8ve that has a wavelength of 3.0 m and a frequency ofcjhd8r -o3.fx 12 Hz?

  What is the frequency of a 2.5 m wave traveli (e 6:mkve27 *,saajzw,gxtq ing at 1400 m/s?

  A piano string of linear mass densitg wd0iktun:mq:;z /9j y 0.0050 kg/m is under a tension of 1350 N. What is the wi d 9 ;z/qngm:w0uj:tkave speed?

  A string of linear density 6.0 g/m is under a tension of 180 N. Wt g/lsxj 4:ub;hat is the velocity of propagation of transverse waves along the string;tuj/:4lgsx b ?

A wave whose wavelength is 0.500 m is travelingvyxj.s u,k (.mds zr):s dy+p5 down a 500 m long wire whose total mass i s),sksy .+.5xuydpmvzj d r(:s
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 transverslla1j7qm c97ee wave on a 2.0-m long string fixed at both ends is 200 m/s. Which one of the following is not a resonant frequency of this st7 cemj97aq ll1ring?

  If a guitar string has a fundamental frequency of 500 Hvm d a0 ,q)dmpu)6qkz6d .n:nxz, which one of the following freqx,:dmpzdqm)q0 )av 6 nn.uk6duencies can set the string into resonant vibration?

  A stretched string is observed to have four equal segments in a standingek 7lac n7/cr5 wave driven at a frequency of 480 Hz. What driving frequency will set up a standing wav cre57/ck nla7e with five equal segments?

  A string, fixed at both ends, vibrates at a frequency of 12 Hz with a standoa5ug,ul t hgo/oh+pd6.ai79ing transverse wave pattern cl9h 5goud ptogi+ 6. aua7/,ohontaining 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 20 ,z.,eom+v 3ghg;j0+m(iu y dh0g gm.bx+ uvs rN. What should its length be if its fundamental re xbz03;yvjmh umisgoge g0..,+duh(+r+g, mvsonance frequency is 220 Hz?

  Find the first three harmonics of a st8)wkxe*; njsf-w qr :nring of linear mass density 2.00 g/m and length 0.600 m whenqe; 8fwnn:* r w)xjk-s it is subjected to tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. When theq+tuxq +s7+m 0ef:qa:8 c pjyn string vibrates at a frequency of 8n p +aqtue:+q7fm yxq80+sj :c5 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.