The time for one cycle of a periodic process is calledenwu;: ob-l9 p the

  For a periodic process, the number of28xap6y4*c e3z abs en cycles per unit time is called the

  For vibrational motion, the maximum displacement06hr wtmk6r,q from the equilibrium point is ca60hw,rr t kmq6lled the

  A mass on a spring undergoes SHM. When thsgo-jg6n9 pfe 4 4zrb0e mass is at its maximum displacement frog9p 0ne- bjzgo46s 4rfm equilibrium, its instantaneous velocity

  A mass on a spring undergoes SHM.c. p 6v2(xqe. 2l3njr w6loewk When the mass passes through the equilibrium position.c(6jnxr2 6 eew3wl.2olkqpv, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass is at maximum8ph2c /hilrhc,nr 2 t0 displacement from equilibrium, its instantanerchph8 rhni 0 ,lct22/ous acceleration

  A mass is attached to a vertical spring and bobs up and down between pointxv0x/p*pyhy /yw( g.bs A and B. Whph vbpx xgy.y/( y0w/*ere is the mass located when its kinetic energy is a minimum?

  A mass is attached to a verti)aost+c6oi8vk o hs:qg:b 99 ltx 7m0pcal spring and bobs up and down between points A and B. Where is the mass located when it9:sqlb +0okath p :to6m8osg7)ci9 xvs kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up and down bet)h nfn:mef 97sween points A and B. Where is fns97):he n mfthe mass located when its potential energy is a minimum?

  A mass is attached to a vertical spring anepdc10a3np+ b)p (oz j7rqn6ofja 3g2 9he6 kkd bobs up and down between points A and B. Where is the mass located 32bp +e cj6 aqnrz7n1jfoa)e kk0( oh3dp9pg6when its potential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-spring sy fsr(9 g7qfbg83 q7w6ad9rxjdstem produces what effect on the sy76r87 9gwqf fsbddargx9q( 3jstem's mechanical energy?

  Doubling only the mass of a vibrating mass-and-spring system produces what effe8lmcvvns ) p flt5p5+:ct on the system's mechan mn+v t)clpl55:s v8pfical energy?

  Doubling only the spring constant of a vi(e :swo,k fn2fqy:;n ftf5s9w brating mass-and-spring system produces what effect5;2ff9 (n:tow ynf fq:,s wkes on the system's mechanical energy?

  A mass oscillates on the end of pkp+lgua/7.n:w6yowkwq 7/ va spring, both on Earth and on the Moon. Where is the period the6wwn/alpvkkwgp uo:y7+ .q/7 greatest?

  Increasing the spring constt , 29fu*nagssygd6yd 4foe,) ant k of a mass-and-spring system causes what kind of change in the resonant frequency of the system? (Assume nodoy sg4 69t*dn,e,u 2faf)ysg change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system causes what kind of chaosc wz3o6r s+1*9rp twnge in the resonant frequency of the system? (Assume no change in the system's spring cwz6 s tpo*w c+s3r19oronstant k.)

  Increasing the amplitude of a mass-and-spring sys1i *:;0;:l bi yrqjdb nvoj9rstem causes what kind of change in the resonant frequency of the system? (Assume no other changes in the system.)ibb ol:r iqd1* j9;y 0v;ns:rj

  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 -c v:e8/*0svzk9dl 7apjh vcrmass M attached to a weightless string of length L. For this system, when ur-* ze 97 c80:ldjkhvva scvp/ndergoing small oscillations

  When the mass of a simple pendulum is tripled, the time required e etg)e.1a0id for one complete vib0 iega 1td.ee)ration

  Both pendulum A and B are 3.0 o ejv wnh1c,-)sxk/ t by91-knm long. The period of A is T. Pendulum A is twice as heavy as pendulum B. o-w/)txj 1 1kkhesb-yn9,cnv What is the period of B?

  When the length of a simple pendulum is tripled, the time for one complete ; 2ssstfm2a rt-b9,mixq,*ptvibration increases by r,xp 9i,sm;fs sabmt tt -q*22a factor of

  What happens to a simple pendulum's frequency if both its le mwzd6z wpr872ngth and mass are increaz8w62p wd 7zrmsed?

  Simple pendulum A swings back and forth at twice the frequency yxso-2.b w 9zvof simple pendulum B. Which statement is cow s2vx.z9- yborrect?

  If you take a given pendulum to the Moon,8 -21mukzmesf where the acceleration of gravity is less than on Earth, the resonant frequency of the pend8 mzmkf2-u se1ulum will

  Curve A in Fig. 11-1 / +,7ycz9tq-k;wfqdilq saq)represents

  Curve B in Fig. 11-1 repreb 8*+jut2g7i,np 9*d xzmhbks sents

  Curve C in Fig. 11-1 represekuyqrpq1.nr c ge 5l/ ey0451rnts

  For a forced vibration, the amplitude of vibrationwrk 6n: ; a(ie5eugo3l is found to depend on the

  In a wave, the maximum displacement of points of the wave from equilibrium is caq9byj aw-m hwa4b 5(n7lled the wave anyb- 9qw45w7 j(hamb's

  The distance between suc ,k pji-7( d wly-m(y6u7i*tvrub8njecessive crests on a wave is called the wave's

  The number of crests of a wave passing a point per unit time is x .77ph6nsl fxcalled the wave'sfxxn7hs7. 6lp

  For a wave, the frequencypphdc;ueb32p g;q 4m -*m, 5spqh h/la times the wavelength is the wave's

  The frequency of a wave increases. What happensoww* 6q3 f:j2e8bysxvg. vt3 y to the distance between successive crests if the speed rem esvxw2 *fybt 8yv:qj6.og3w3ains constant?

  A wave moves on a string with wavelength l and fru v(4ob:; djgpx-6yt fequency f. A second wave on the same string has wavelength 2l abf - ;4xj:(vu pdtyog6nd travels with the same velocity. What is the frequency of the second wave?

  Consider a traveling wave o- y(e zku:k6,t 4lwvnyn a string of length L, mass M, and tension T. A standing wave is set up. Which oyy 6-wezkv:,(t u 4lknf the following is true?

  A string of mass m and length L is under tension T. The speed of a wave i6fr9. h+3uhkdq8an) x qcb lg.n the string is v. What will be the speed of a wave in the sn8 clu+qhbrqkahd f..9 xg 36)tring 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 tensr*q-pgwlke 7 )ion T. The speed of a wave in the string isq-l we)pr*7k g 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. Thecm yj -s pp(h-iv-(yb: speed of a wave in the string is v. What will be the speed of a wave in the string if the tension is increasyj bh:-p v-myc(p- (ised to 2T?

  In seismology, the S wave is a transverse wave. As an S vjc.tpd-v4f9-ltw r 6 wave travels through the Earth, the relative motion between the S wave and the particldpv 6r 4w --jlftvct9.es is

  In seismology, the P wave is a longitudinal wave. As a P wave trr9ujf 681j:eorl( miw avels through the Earth, the relative motion between the P wa l:6e(i8owrm 1fjr9u jve and the particles is

  The intensity of a wave i)vi lopw8lf7 6s

  A wave pulse traveling to the right along a thinzu o)xjgh9zf3g v k65use268lhb)d5 j cord reaches a discontinuity where the rope b9 2j sf gdx66ovb gl8e) ju5h)hzku3z5ecomes thicker and heavier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitu:k+-qrzkc5h ud;d z-a des pass each other on a string, one is traveling toward the right and the other toward5k a+hc:dqr zu;-zk -d 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 travelin/t, ibtp, ahya:gw .b8 nc+)clg toward the right has a positive amplitude, while the one traveling toward the left has an equal amplitude in the negative directioa,c+g:p.t cwh,t 8nyi/l)bb a n. At the point that they occupy the same region of space at the same time

  Resonance in a system, such as a string fioj)h77gvr;)4+e-rk zs o7gu9ree flfxed at both ends, occurs when

  If one doubles the tension in dm,/ ) g;d aq16sjsqcoa violin string, the fundamental frequency of that string will incre mcqdqad16;jg s o)/,sase by a factor of

  What is the spring constant of a spring that stretches 2.00 cm when a mass 3*sv 3:ur+ ej-q h x*g xbdte39y1xrsjof 0.600 kg is suspended from it9 xu1xev *t:r3d+x3 e brhsj*s 3gqjy-?

  A mass is attached to a spring of spring constant 60 N/m along a horizontalx22ckdc2 y: jl, frictionless surface. The spring is initially stretched by a force of 5.0 N on the mass and let go. It takes lccd2yj2x:k 2the 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 md (5n vb7obouj/5vkb- owg*(N/m along a horizontal, frictionless surface. The spring is initially stretched ((b5*d ooju /bv7mgb nwk-5ovby 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 ofjj c0 f(jhi-k 6w.hif( 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. It takes the mass 0.50 s to go back to its equilibrium position when it is o(i-jick . j6hf0j( hwfscillating. What is the frequency of oscillation?

  A mass on a spring undergoes SHM. It goesqh)fz pi/:/v 3cb24 ml4k 4bkup,nkmm through 10 complete oscillations in 5.0 s.cbpn) mzb4k/imk:fph v,mk uq/4 24l3 What is the period?

  A mass vibrates back and forth from the free end of an ideal spring 7 s5aj6m+ xofkof spring constant 20 N/m with an amplitude of 0.30 m. What is the kinetic energy of this vibrating mass when+km5xsoaj 76f it is 0.30 m from its equilibrium position?

  A 0.50-kg mass is attached to a spring of spring constant 20n4zd4g 3cz2vug 6e h9q N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion v 2gc3dzq4hunz6eg49 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 s4,i.n2 aum)ryglq(ywith amplitude 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 with amplitude 4.0 cm. What is the energar4 .nyy qi)l(sm,g2 uy of the system now?

  A 0.50-kg mass is atta-- m+ toxyyvx;ched 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 positiv- t-oy;+my xxon. What is the amplitude of vibration?

  A 0.50-kg mass is attached to a spring of springfq5g +r14ncw hl 8i6/fqt0ne u 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. At what locatc5unf i qt0 fqgnrhw4e8+16/lion are the kinetic energy and the potential energy the same?

  A 2.0-kg mass is attached to the end o(0k4sh l9s jnxf a horizontal spring of spring constant 50 N/m and set into simpln40h(lx9 skjse harmonic motion with an amplitude of 0.10 m. What is the total mechanical energy of this system?

  A 2.0-kg mass is attached to the end zfs1xqjs :pbr1e9 4vl2 ry)2iof a horizontal spring of spring constant 50 N/m and set into simple harmonic motion wit:z) 4r jrbip1f 1vs2s qx9ly2eh an amplitude of 0.10 m. What is the total mechanical energy of this system?

  A mass vibrates back )0 js1c)eia.u hiujd- and forth from the free end of an ideal spring of spring constant 20.0 N/m with an amplitude of 0.250 s. aj)ju1 h)ci0d-ei um. What is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring system is displaced 10 cm fr81 d;bc- j ooz y7pp7yapwfyr3c.;lt2 om its equilibrium posif2al -pz b.oop;7p;81y3 wyrdcj tcy7tion 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/m. The object . yud(is 5hwif7ul lkdv ncb9qa4*x0+9d6w, a is displ4wbaq 9iwhikn6 .ldx0+u* d(c 7dusavl95,yf aced by
5.1 cm from the equilibrium position and let go. What is the period of vibration?

  A 4.0-kg object is at.9vq0(az-wtz +30s nkiwo vv dtached to a spring of spring constant 10 N/m. The object is displaced bvanzq03vv-0 kitswwo z.+(d9 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 ig,hdkh x69*oof spring constant 18 N/m, displaced slightly from itd kx,6gi o*hh9s equilibrium position, and released. What is the frequency of its vibration?

  A mass is attached to a spr +e/zoy,ao3fw z*7kbd ing. It oscillates at a frequency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and relekb +fw,/zz ey*a do3o7ased. What is the maximum velocity attained by the mass?

  Two masses, A and B, are apc d0f czndd4+v428tt ttached to 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. How does t+ cvdt0dp2d4 8tznf4c he maximum speed of A compare to the maximum speed of B?

  A 0.30-kg mass is suspended on a spring. In equilibrium the md-tmuz ar b:4v56lx(hass stretches the spring 2.0 cm downward. The mass is then pulled an additional distanch ux:m a lr(5v6tz4-dbe 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 equilibrium the mass stretches the9e/ij /mq- aat+du-r42s wv mi spring 2.0 cm downward. The mass is then pulled an additional distance of 1i9 m 2/+4awq--/dstae imuvrj .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 spydn2nnfv2;4r7sxwp z7es um h6;o9u5p3 o h3pring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and released from rest.;nx4o9pspmd 2n u35hwv7hrz3fusp 7o2y 6en ; Write down its equation of motion.

  An object in simple harmonic motion obeys the following position verl:e y2t a *j23lgcw3g(2tg.t ip skgfb5ck3g1sus time equationj2p g lkgt5c33 k3g(ft i2bl2c.ae1sg :twyg*:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following w a lg*y(3(oktposition versus time equatk*oa3gwtl ( y(ion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following poseq8rp/ e ru/t6 odwl7/ition versus time equatedqt6 8 erlw/o/pur7/ion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free rs/u(xiq986lt ny( 0m/xrnnrend of a spring executes simple harmonic motion accord8/ l/ruq6nn09xnrysi(m(r x t ing 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 sprip m1(fde/i- yrng with a force constant of 20.0 N/m oscillates on a horizontal, frr(fime1y p -/dictionless 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 swintzeor, hs k,bg1*lz4 o:72gqh gs in 8.0 s. (a) What are its frequency and period on s,hqbo7ztz2*rlh4k :,go g1e Earth?

  A 3.00-kg pendulum is 28.84 m long. What is egtv8e..i lior0en:-its period on Earth?

  A pendulum has a period of 2.0 s on Earth. W*rf 5i (ycgxifwpd w*g )-8b0lhat is its length?

  The pendulum of a grandfather clock is 1.0 m long. What is its period on the Efp,*jy0mi 5 or-j u9sqarjp o9f, m*j ru0i5q-syth?

  The pendulum of a grandfather clock is 1.0 m loc9kyxea828o;c m w7s gng. What is its period on the Moon where the accelerati8 wmex82y9;kco ac7 sgon due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists o qm*oku p c/hx(lfv-.fbn6d0 ie:s6v, f a 0.25-kg spherical mass attached to a massless string. When the mass is displaced slightly from its equil lc.6h:u ex6bpnv kq/m ,i0 (*fsovf-dibrium 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 (same diameter sphere) had been attached to the string instead?

A simple pendulum consistinn c6ep.g+) n 7vtsh71ksokg 4yg of a 20-g mass has initial angular displacement of 8.0g+kg46se n 7ks1.ycotn7vp h)e. 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" of a wave at a gp fd2d(i 0n)kt (mgrg9iven time. The frequency of the wave is 120 Hz. What is the addfprtkgm )ng 0i9(2(mplitude?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency15 nz 3(zgbsvt of the wave is 120 Hz. What i(zzbtg 15vs3ns the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given time. The fk bay0ew((rnzn1o u 194q jt8erequency of the wav4y9te1ob8 k(qunrj1 n wa0z(ee is 120 Hz. What is the wave speed?

  What is the frequency of a wave which has a period of 6.00 ks/ nhsxz(k,iiehn21(51 rl y ms?

  What is the period of a wave with a frequency*+43aq 1fv * btgrppvn of 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz and a wavelength of x+ js3*fb sb5uaet0s, 0gltsv/ :kaw; 3.0;s /gkuj :wa 3bvlsatts0bs, xf +0*5e m?

  What is the velocity of a wave that has a wavelength of 3.0 m and a frequ/o vqp59j*;o*vpu w t m9,yy /gh+bscnency of 12 Hzq , w9 9/pbgop;mvcn+ h*jyo5ty /*suv?

  What is the frequency of a 2.5 m wavesdq gjfv(;8n 6 traveling at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is mr59ytafiqw( 8 );sho under a tension of 1350 N. );ihqf5 yr towam8(9s What is the wave speed?

  A string of linear density 6.0 g/m is under a tens:awd70- qpo2j em zq(wion of 180 N. What is the velocity of propagation pm:w( zd2qw7-oj qae 0of transverse waves along the string?

A wave whose wavelength is 0.500 m is traveling down a 500 m lov+bpx1)c .318x nf vnacd/ bzang wire whose total man.dc/fv+zvn x 3 1bpba1 a8cx)ss 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.k wek52w*jsy wave on a 2.0-m long string fixed at both ends is 200 m/s. Which one of the folw5.*e sjkk 2ywlowing is not a resonant frequency of this string?

  If a guitar string has a fundamental frequency e2/n.anki x vy0( of)cof 500 Hz, which one of the following frequencies can set the string into c()y0an 2n .fi /vxekoresonant vibration?

  A stretched string is observed to have four equal segments in a standing wa)8mai5kjodf rxk58po/ spom/ 5- us(eve driven at a frequency of 480 Hz. What driving frequency will s5s8kixmr- oo8u( )a5pfk dm/e o/pj5set up a standing wave with five equal segments?

  A string, fixed at both ends, vibrates at a frequency of 12 Hz )w *vqsn*yr5 oyz,; igwith a standing transverse wave pattern containing 3 loops. What frequency is needed if the standing wave pattern5g sir, wyn*vqz *)o;y is to contain 4 loops?

  A string of linear dedpw agg* ll2k nj47h mf+37ch5nsity 1.5 g/m is under a tension of 20 N. What should its length be if its fundamental resonance frequency is 220 Hz*h3jg57dpn wl+l4a mck2hfg7 ?

  Find the first three harmonics of a string of linear mass- 1y+ml; aznlb density 2.00 g/m and length 0.600 m when it is subjecb lny;-m z1+lated to tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. When the stri tb :ti3*e84qb,txeajng vibrates at a frequency of 85 Hz, a standing wave with five loops is jbx,bt*i a qtee34 t8: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.