The time for one cycle of a pesj*dwm;*/)r ey t8.ke-s. zh xz k(yqrriodic process is called the

  For a periodic process, the number of cycles per unit time is called 0 0mjuvb q5w4kg748 u+jz vmsdthe

  For vibrational motion, th,i*nxo57 e ;prsn.oy fe maximum displacement from the equilibrium point is caloo .i7s pnfx,;e5nyr *led the

  A mass on a spring undergoes SHM. When the mass is at its maxi w.*2ksi ;jgsnmum displacement from equilibrium, it2 *;jwgkissn. s instantaneous velocity

  A mass on a spring undergoes SHM. When the 3b8 eo. afrd;i0k mbk3ud yna11tt86 ymass passes through the equilibrium position, its instantaneous ve3o1 aeud8f63n briyk0mt td.y8a b1;k locity

  A mass on a spring undergoe r:1+mkkh.e kes SHM. When the mass is at maximum displacement from equilibriu e. kk+:kr1hemm, its instantaneous acceleration

  A mass is attached to a verticalcgd rzno5b 207 18mjzy spring and bobs up and down between points A anr5 jnmc2do0gbzz78 y 1d B. Where is the mass located when its kinetic energy is a minimum?

  A mass is attached to a,hzzy14m z9c(7dw svw vertical spring and bobs up and down between points A and B. 4mz7sdh1 v9ww,zy( z cWhere is the mass located when its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up and d0iepwn*e,zl uqzvfv/5h6 7, uown between points A and B. Where is the mass located when its pote u*w/,l70qpev hizez6 nf u,5vntial energy is a minimum?

  A mass is attached to a vertical spring ag9ram*6m/ mvu nd bobs up and down between points A and B. Where is the mass located when its potential energy is a mrvm mmug*69a/ aximum?

  Doubling only the amplitude of a vibrating mass-and-spring syst ulki y/nczmm17hr 096em produces what effect on t0ihmlcu197 /n k6yzmr he system's mechanical energy?

  Doubling only the mass of a vibrating mass-anj5ecbex;- mvp cy1c:qt-d8 ah4+ nl(rd-spring system produces what effect on the system's mechanical enerc1cepb( 5 ;4q8tamlchrd+ -xj-v ne:ygy?

  Doubling only the spring constant ot6lk /o ;yhvb:lm46vx f a vibrating mass-and-spring system produces what effecthblyxv6 4:l o/m vkt6; on the system's mechanical energy?

  A mass oscillates on the end of a spring, both on Earth e4h h p6jm9uv )bng6l0and on the Moon. Where is the pg9n6m6)0 bp lu4hejvh eriod the greatest?

  Increasing the spring cong3ts7iz 6n2yo j-9zapstant k of a mass-and-spring system causes what kind of change in the resona zz3 gpyiaj 2-tsn96o7nt 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 chskb* en 07lethwoj 8-g +.6usdange in the resonant frequency of the system? (Assume n u-sbskh*6new+o.l78dg 0 tejo change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system causes what2emx8 yfx 8ojj 8)sz6pb-kc9x kind of change in the resonant frequency of the system? (Assume no oth2omze x)6yxcpb89 8j-x8 sf kjer 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 attach4 t.nv9.b* uhra5 rqw2bifw 5qed to a weightless string of length L. For this syste*5qrvquwf54nb.2iha t b9rw .m, when undergoing small oscillations

  When the mass of a simple pendulum is + fpeu:q keq/4d-i5jf0s a:uztripled, the time required for one complete viaquuk/ qf0e 4-5 zpfej:+d:sibration

  Both pendulum A and B are 3.0 m long. The period of A is T. Pendulum A is twigf7fitclc+hy ) 7 d**jce as heavy as pendulum B. What is the period of B7 g*dlff ctjhc)*7+iy?

  When the length of a simple penap:fww o*-ndrw0ntpubbmnd43: 95*h dulum is tripled, the time for one complete vibration i0rnadtp:*wb n:hd* -4f3o5b wnw9upmncreases by a factor of

  What happens to a simple pendulum's frequency if both its length and mass arefqw+v fr46fova0 7uo0 incre0fv7uf604qfva oo +wr ased?

  Simple pendulum A swings back and forth at twice the frequency of six/ 5e1 .bw/kyex * izm;u7rxqbmple pendulum B. Which statement is correct?x. yr/ w;ziu*q15b / kembxe7x

  If you take a given pendulum to the Moon, where the acceleration of gravity is z+rrx5z e*nw:yl- we6 less than on Earth ne6-*zryrz:lxe ww5+, the resonant frequency of the pendulum will

  Curve A in Fig. 11-1 representsy r/ a)+k5epa4r y0r.w6 ju:vbrgom 3c

  Curve B in Fig. 11-1 reprk)0s+spf. subesents

  Curve C in Fig. 11-1 represezaj8n:d fgomn 7 37r)znts

  For a forced vibration, kn0c s:5wcz:jfy0wkw:;6 jc zthe amplitude of vibration is found to depend on the

  In a wave, the maximum displacement of points of the wave from equilibriuylai x47 fy2m9m is called the wave'slm9i7ayy xf 42

  The distance between successive crests on atyn ei) g 5e+cmz8o:2h0n7fez wave is called the wave's

  The number of crests of a w o;:xafp mmkfc ;+cr;(ave passing a point per unit time is called the wave';+m( r;fm cpxfa;:k ocs

  For a wave, the frequency times the wavelength is 6y7h-wu 1 p jleiv+ep: p+8qpur.fc*b the wave's

  The frequency of a wave increases. What happens to the distance between success0y7 d 6sft;- fdrklin4ive crests if the speed remains 6 y7dffklrnid4 t ;s-0constant?

  A wave moves on a string with wavelength l and frequen j*r,cgw-8y;fplbbei r)k9q4cy f. A second wave on the same string has wavelength 2l and travels with the same velocity. What is the frequenc*p4el8frrb)cj 9 ;k ,by-wgiq y of the second wave?

  Consider a traveling wave on a string oflootud;,*jhz4h8xkqo /- fo- length L, mass M, and tension T. A standing wave is seq*, 8o tzhd;u-o/foh4jlkx-o t up. Which of the following is true?

  A string of mass m and len(p(6n8ep cjdo a afc*4rw8.cigth L is under tension T. The speed of a wave in the string is v. What will be the rc(c dao6c4 8p8.fep jwani(*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 lu13hd-7py (g6kodxrejug s r 65e//iyength L is under tension T. The speed of a wave in the stringued ohru( 71 6x5giy psd36-/ky/ejrg is 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 thelh9k3vimrksk-:2r y7 string is v. What will be the speed of a wave in the string if the tension is increased to 2T v-kkhrm723k:s 9rl iy?

  In seismology, the S wave is a transverse wave.fb 44 btfn69zoxe:6sz As an S wave travels through theoz6b6tf94:4 en zs fbx Earth, the relative motion between the S wave and the particles is

  In seismology, the P wave is a)k ))tey.2:qy zjout v longitudinal wave. As a P wave travels through the Earth, the v yk:)t qt.2euy)) jzorelative motion between the P wave and the particles is

  The intensity of a wave;bofpphak sxo2s /7i9t)ef f9;.wvg; is

  A wave pulse traveli(be0wq0vo ptd6;c1 yxng to the right along a thin cord reaches a discontinuity where the rope becomes thicker and hea0o6xy d 1epb0 c(wt;vqvier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each other on a stringtjj2:*x )/s)jkckctv sk ip24 , one is traveling toward the righckj2*/tjix spcv4tkk : ))j s2t 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 + 1b5mzem wdf4d3q7zgone 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 occupy the same region of space 1zgdm wzbf+ 3eq m45d7at the same time

  Resonance in a system, such as a string8e*hbi/i-. r qa+cav,gxmz j ( fixed at both ends, occurs when

  If one doubles the tension in a violin string, the fundamental frequepq,hz1up 2* dcnwwbl( c9a,f7ncy of that striwpdwuf,lh7(p, 2q1 cac*z b9nng will increase by a factor of

  What is the spring constant of a spring thatsn 61m+o5sawe 9rta+ u stretches 2.00 cm when a mass of 0.600 krouesa5a m+961swt n+g is suspended from it?

  A mass is attached to a spring of spring cons /.gj66*lj jq mjwkx1mtant 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. Imw 166.l*qjjjjg kx m/t 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 horizontv1 v4e fp7wk1-9bj;(yeoqkh dal, frictionless surface. T 9d-v1 pkyk qe4vj7bfweo;h(1he 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 period of oscillation?

  A mass is attached to a spring of spring constant 60 N/m /xre7 yg2,:9k-h-xf 3kp:iv kx9djd/tb zsl g 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 posx/ lv -yhrs:eg7,jk9dd2btfi/k3 -g9 xxkz p:ition when it is oscillating. What is the frequency of oscillation?

  A mass on a spring undergoes SHM. It3+ a.00 u0gm nvm./vc*r x7af vvxkhqk goes through 10 complete oscillations in 5.0 s. What ih v37/c *0xvq0a nkafm m.uv.kvrx0g+s the period?

  A mass vibrates back and forth fro ,7o+yfy ;fvwxt zj9v-m the free end of an ideal spring of spring constant 20 N/m with an amplitude ofyzv, oy;t9 7wxf-jv+ f 0.30 m. What is 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 a horizo ,ro9 o;u sp:5lew5ilzken4n e;meu;8lik ;n/ntal, frictionless surface. The object oscillates in simple harmonic mot 5lnkz;eeoew mk/l8 i;en rl;np5s4,u: 9u; oiion 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.0b/;n g.hz*jf5qbvbr The energy is 8.0 J at this time. The mass is cut in half, and t.0b nb*5bqhv/jg f rz;he system 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 spring of spring constant 20 N/m along a 7/4ud(u.-dpwrs dyh :pjh n2 :w ogsr(horizontal, frictionless surface. The object oscillates in simple harmonhg:2 ds(p-yrho4/( :w.p dudsnwru7jic 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 along a hoda:.k4fe1 nam rizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed o :a adkmf1e.n4f 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 spr9p+ m,xa0dcovta5g n0 ing 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 sysgcam,05n vo9tp+d x 0atem?

  A 2.0-kg mass is attached to the end of a horizontal spring of springe1ai um )ccll;r.f1m4 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 sysrm iumca;el41l1 .cf) tem?

  A mass vibrates back and forth from , -g1ao ifo-yjthe free end of an ideal spring of spring constant o-o-figj 1a,y 20.0 N/m with an amplitude of 0.250 m. What is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring systl)4mm)csq70hdtwl r95chws /uq9v/ ck)h oz8 em is displaced 10 cm from its equilibrium posic9uvh/m5w8 )d/70wtl )h4kzs mh)crqqsol c9 tion 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 then released?

  A 4.0-kg object is attached to a spring of spring constant 10 N/me.af ;+b: +kc1j( ctdrfij*qx. The object is displaced byc1(a+ q:+j*fd; .x jbtkcf eri
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 s6y yw4onmyiv.er)1jy8 l6*ry,b v2ej pring constant 10 N/m. The object is displa4*ey w2 r6j vmo8)yny viy.e1rbj6ly,ced 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 (hvzw vcmhj,n5z, - e518 N/m, displaced slightly from its equilibrium position, and released. What is the frequency of its vibraj5v,,z ehwczn(h5- m vtion?

  A mass is attached to a sprin rn (kr 3w 93)rvv65rufur6-fpk-vep dg. It oscillates at a frequency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What is tv5r pf-f 6pr uwr)ke63dv(r9k ruv-3nhe maximum velocity attained by the mass?

  Two masses, A and B, are attached to different springs. Mass A vibry 3snhu3.(6c,.fj 4dg2 w dg kku5qrafates with amplitude of 8.0 cm at a frequency of 10 Hz and mauqrkk.hd2 ,n4 jf y3(d5ug6fg3w.s c ass 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 the mass strekhdwt3v3 * g(*aa 1;ocoz 9i qeqm;7vqtches the spring 2.0 cm downward. The mass is then pulled an cwo33zo* (avqi;m*t7qv 1eaq;gk9 h dadditional distance of 1.0 cm down and released from rest. Calculate the period of oscillation.

  A 0.30-kg mass is suspended on a spring. In equir 4x+/nlt nr0 )d+qhfdlibrium the mass stretches the spring 2.0 cm downward. The mass il++t/r4nd h)fq nx0 rds 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 brw9 rrl 6euxb-e b638f/+y arequilibrium 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 down itsrfrex-9ba8rr6/yu 6 +e3bb wl equation of motion.

  An object in simple harmonic motion obeys the follo6,8 uqyp5gyfc wing position versus time equation:,y gp56f8cyuq
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the follo9l lk6tdm w1g- :pt0hfwing position versus time equt9gh610 wmkflp l-t:dation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following posita wkh2b ju.gj2: )ibb.ion versus time equatwia ):.h kbbubg2.2jj ion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes s.;:5r 0 mdbj(n+vddhh t wr,dkimple harmonic motion according to;h,+hdrv b w5 mddnrtj.0(:k d 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 consta1 vx7r/ ua8a1p 3cplqcnt of 20.0 N/m oscillates on a horizontal, frictionless track. At t= 0, the mass is released from rest at x= 10.0 cm. (That is, the spring is stret c7lvac81ap3 rup1 q/xched 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 ankrntfe 6jkps o ;8a+,+zag l3 h;t+c*fd period on Earth?3 f,;kh*+c6rlaj+8 npo tk;g+ez ta sf

  A 3.00-kg pendulum is 28.ll, j7u,ucj wg d6pp9284 m long. What is its period on Earth?

  A pendulum has a period ofc (80dujr xv+rdd b1z-mwls 06w i6z)j 2.0 s on Earth. What is its length?

  The pendulum of a grandfather clock is 1ets :f:p: cace z.x,q(.0 m long. What is its period on the Earth?:c:a(:.ezs xptcqef ,

  The pendulum of a grandfather clock is 1.0 m lcwiw4t 26,3yj74jq gfhw* hey 3fv3 yrong. What is its period on the Moon where the acceleration due to q,4 j63w32y vwfew73cgfy r hih4*jyt gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of aw(n uc(+m-kc j1sr5km 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 forthcuk(+mkrnmc-w 1sj 5( 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 angular displacemense isnz3,i hpmp3n v:+z7 pz i+dw4;u0t of di: i,eiz0vmh ;33sz4pnp wnzpsu + +78.0e. It oscillates with 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" o7n k6 5qzb+vxx8v .k-b+zqgjxf a wave at a given time. The frequency of the wave is 120 Hz. What i +bx vqjbxkqvgnz-z85 7k.6+xs the amplitude?

  Figure 11-2 is a "snapshot" of,5b1ks;ole tm a wave at a given time. The frequency of the wave is o; 1t lbm,ks5e120 Hz. What is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given time. 08 6, n1oviqbsptl*py The frequency of the wave is 120 qy,psin8* pvto6 lb10Hz. What is the wave speed?

  What is the frequency of a wave which has a perioi(a(;w nfadt xp4+s3s lw(e*g3e(yuud of 6.00 ms?

  What is the period of a wave with a frequeny ez7( of4k w)bo yqahf,a(;4wbx);qrcy of 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz :kavop(:he h(;w 4efz and a wavelength of 3.0 m?f:(vzk: eweh hp;a4 (o

  What is the velocity of a wave that has a w80pcabdgx 9 o5avelength of 3.0 m and a frequency of 1g8 c o0d9apxb52 Hz?

  What is the frequency of a 2.5 m wave traveling at 1e6 p m(7f7(yci6ql)c r0hoyh pp t-*lp400 m/s?

  A piano string of linear mass d()xs 8 ymb *a(vu1ctehensity 0.0050 kg/m is under a tension of 1350 N. What is the wave sp s *bytea8(cv)u 1mxh(eed?

  A string of linear density 6.0 g/m zztus((vf3( s is under a tension of 180 N. What is the velocity of prop szzt(( svfu(3agation of transverse waves along the string?

A wave whose wavelength is 0.500 m is traveling down a 500 m long wi:4; tb:: qhr6 1othog/ inyexmre whose total mm/ tor6:g1xy e;4: q:thbnho iass 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 strvl6*(5fut+ylc pr9xe t(b7kl ing fixed at both el9+r7*vt6ltpcx5 ( (elfukbynds is 200 m/s. Which one of the following is not a resonant frequency of this string?

  If a guitar string has a fundam/z dz6+fzdpn3e5vw99; yv zr gental frequency of 500 Hz, which one of the following frzg/ ;+9wvy69zf ezp3rdnvzd5equencies can set the string into resonant vibration?

  A stretched string is observed to have p0fnvg*c233s p ul6fffour equal segments in a standing wave driven at a frequency of 480 Hz. What driving frequency will set up fc*3lgn0f6 pf psuv 32a standing wave with five equal segments?

  A string, fixed at both ends, vibrates at a frequencp6a+t/sw(z bm y of 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency is needed if the ssm(b6+t/wp aztanding wave pattern is to contain 4 loops?

  A string of linear density 1.5 g/m is under a tension of 20 N.o7 6fb nijo. ra7yv8 s1gx9q.c What should its length be if its fundamental resonance frequency 7o vycaf xg8i 71qso6j9r.b .nis 220 Hz?

  Find the first three har3i/)ry6 0 v1fke lwghemonics of a string of linear mass density 2.00 g/m and length 0.600 m when it is subjected to tension of 5y06g 1ihle)k ev/wf 3r0.0 N.

A string of length 2.5 m is fixed at both ends. When the string vibrates at a fo83xtj+*b fond-afv ( requency of 85 3ovnx jd8af -bo*t+f(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.