The time for one cycle of a periodic process isgn f,t7nfbcg uwl0la 6e,rk*513i d 2y called the

  For a periodic process, the n4 90lz thsld e()db*imumber of cycles per unit time is called the

  For vibrational motion, the ;,5gfienf /6vd/z;/g t;fd5xw upvi dmaximum displacement from the equilibrium point is calle5xufn;wip/fi ;vz5 ft/ d,e vg;6d/d gd the

  A mass on a spring undergoes SHM. When the mass is at its maxiu8c6o8 fi. opwmum displacement from equ w8i.p68 ocufoilibrium, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mao/jk4ng bu nxnkh sf/-d)p+(7 52 lciqss passes through the equilibrium position, its insnf p+7/uhc(dijsk) 2/n no45q bl-gkxtantaneous velocity

  A mass on a spring undergoes SHM. When thebt6ztnd 8wig2 ,c 9g,e mass is at maximum displacement from eq 9 8,dte6tgzgnbcw, i2uilibrium, its instantaneous acceleration

  A mass is attached to a vertical spring and bobs up and down between points A anlwfvteyea1if4 )v25mxz8 /l; ;r byk3d B. Where is the mass located when its kinetic energy8azv;lkfw3 l4 e 2xte1vbrfi )/my 5y; is a minimum?

  A mass is attached to a vertical spring and bobsnvn0+0lcbs 1s up and down between points A and B. Where is the mass cs0 +snv1nlb0 located when its kinetic energy is a maximum?

  A mass is attached to a verticajq, m .mpw;hb3l spring and bobs up and down between points A and B. Where is the mass located when its potential energy is a wqb3h .mmp,; jminimum?

  A mass is attached to a vertical spring and bobs up and down 3smdu5 78you1sq4bkm 8abj*q between points A and B. m5u3q1d8* 8b y oksqmsj7ua 4b Where is the mass located when its potential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-ae:6 *3qsvbkr ind-spring system produces what effect on the system's mechanical ener:bs3 q*ier v6kgy?

  Doubling only the mass of a vibrating mass-and-spring system p:l9(2hk1swv hk.fgtz3s ( uhzroduces what effect onf 9htw:z.kkz s1hvg2u3lh ((s the system's mechanical energy?

  Doubling only the spri-eq w2uptz 2z4ydz (1fl*-sfud wvs 8+ng constant of a vibrating mass-and-spring system produces what effect on the system's mechanical energ wfzzy*41(ltz v 8-u eu22qws+s -ddpfy?

  A mass oscillates on the end of a spring, both on Earth and on -v*b -ozw (fhnthe Moon. Where is-* b(v nhfozw- the period the greatest?

  Increasing the spring constant k of a mass-and-spring system causes fssdj5cttr v 0/1jh-a6 )lv 2twhat kind of change in the resonant frequency of the system? (Assume no change in the s 02jj15 sav -v)s6/tlhttdfcrystem's mass m.)

  Increasing the mass M of a mass-and-sprintf5-m1q5gf,ek1b:l b b-bse c g system causes what kind of change in the resonant frequency of the system? (Assume e 5mlb1-fb 1bq5-sc:begtk f ,no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system causes what kd)j qmy,eq ;jcjx8 rpk- :yl74ind of change in the resonant frequency of thjl4- 8cpje;y x)kr mq7q:,j yde 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 st,) lkm 4bpy.ojring of length L. For this system, when undergoing small os,ky bmp4j) lo.cillations

  When the mass of a simple pendulum is tripled, the time required for one cosf;twj xg37jswwi4); mplet s;)jis4ww3tjfwgx; 7 e vibration

  Both pendulum A and B are 3.0 m long. The period of A is T7bohuo(cjaudecr4 .8 ,)l i+e. Pendulum A is twice as heavy as peo, 74(oh)ci ju.8 ld bcuaere+ndulum B. What is the period of B?

  When the length of a simple pendulum is tripled, hymc98ep-fqq;pjp ,/ the time for one complete vibration increases b h8yc,mq;/j ppp9q-e fy a factor of

  What happens to a simple pcu k1jev-2 ae,p/6ebp + iwp5oendulum's frequency if both its length and mass are increased/i-5j eepe1+bupc2w ,v p ak6o?

  Simple pendulum A swings back and forth be q/k6zz g)z;at twice the frequency of simple pendulum zq/bzzg;6)keB. Which statement is correct?

  If you take a given pendulum to the Moon, w dp(og2a o 7l;2edehj/here the acceleration of gravity is lessha2l odgp(e d/7 2eo;j than on Earth, the resonant frequency of the pendulum will

  Curve A in Fig. 11-1 82 rcq 42 laordm ft:gmum4(p:represents

  Curve B in Fig. 11-1 repry 6-qxdass yu;j*ni+g 9ne8n :esents

  Curve C in Fig. 11-1 re -nz gxtc1r:;n/d5y7 qs ju:yspresents

  For a forced vibration, the amplitude of vibration isd mj69m3r hv-h found to depend on the

  In a wave, the maximum displacement of points of the wave from equilibrvbsymv+ q(b t 64armx -0s:v3nium is called tv-rbb(t4vn x0 : ysva63 m+mqshe wave's

  The distance between successive crests on a w9s3eve7gu..n2x rb f iave is called the wave's

  The number of crests 24 k2q, dpr,tr6 bltuhof a wave passing a point per unit time is called the wave't6k r 22,tdlbh rq,up4s

  For a wave, the frequen m i39wterhus. l((-sfcy times the wavelength is the wave's

  The frequency of a wave increases. What happens to t-p.neple *:a qoy6; ybhe distance between successive crests if th6bqay:pe;y- *ep l.n oe speed remains constant?

  A wave moves on a string wituy0 f-e p.8rb h3gc abgk:ac/.h wavelength l and frequency f. A second wave on the saf/ayp8kb0ecrb 3 .cgaguh: . -me 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 tensiolsoa:x si 0a11n T. A standing wave is set up. Which of th011a:lsix s oae following is true?

  A string of mass m and length L is under tension T.yvuyg 6 g1b63j The speed of a wave in the string is v. What will be the speed of a wav3by y1gju66gv e 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;x4ppd 3r;b4z/;ktfll nep1 r speed of a wave in the string is v. What will be the speed of a wave in the string if the length is increased to 2L, with no change ie;kb/lxz tr4 ;rp3lp;f4d1np n mass?

  A string of mass m al12w2cl h.gn pnd length L is under tension T. The speed of a wave in the string is v. What will be the speed of a wave in the s.nc1ll2gwph2 tring if the tension is increased to 2T?

  In seismology, the S wave is a transverse wave. As an S wav5jyd;e* o/idfcc1bumc+37c i e travels through the Earth, the relativeu5ci bimc* ;d73c/c1eo+fd jy motion between the S wave and the particles is

  In seismology, the P wave iaoekohm7o f h.f5 q-68s a longitudinal wave. As a P wave travels through the Earth, the relatk.hoo8-fh75 oaeqfm 6ive motion between the P wave and the particles is

  The intensity of a wa+tdosci/x0) n )qf:j(xe d*ghve is

  A wave pulse traveling to the rig/ ax+r. jocl7dht along a thin cord reaches a discontinuity where the rope becomes thicker and heavier. What is the orientation of the reflected and transmittd +j/7la.c orxed pulses?

  Two wave pulses with equal positive amplitudes pass each other on so:t y:+k3r2 eij 8t+v sqzpk8a string, one is traveling toward the right and the other toward the left. At the poi j8is k+yet+q83kozptsr2:v :nt that they occupy the same region of space at the same time

  Two wave pulses pass each other on a string. Th/mvo+. j8u jpxe one traveling toward the right has a positive amplitude, whilmo8ux. j/+p jve 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 at the same time

  Resonance in a system, such as a string fixed at both ends, occurs whe xqqqj rg:wjqd04a; +:vc0e2sn

  If one doubles the tension in a violin string, the fundamena0e60(c ptt iuml/ol 1tal frequency of that stria l0imu1te06oct p(l /ng will increase by a factor of

  What is the spring constant of a sprin dehvr k*hcx;*3tf26jg that stretches 2.00 cm when a mass of 0.600 kg is suspended from drctv2e36**jh;f hkx it?

  A mass is attached to a spring of spring cons s 7l0q6,d7x t/wlq ryqu-kr8atant 60 N/m along a horizontal, frictionless surface. The spring is initially stretched by a force of 5.0 N on the mass and le ,8 7rl/qyad - 06xskwr7lqqtut 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 h2kl c(ct qb- 9ef6a8gxorizontal, 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 oscillating. xlqt-c 6f9ba8 c2 (egkWhat is the period of oscillation?

  A mass is attached to a spring of spring constant 60 N/lr) p(m49:x/j6hk awmp/o ugwm along a horizontal, fri p/6kxo:pm/w m)( l hrju94gwactionless 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 oscillating. What is the frequency of oscillation?

  A mass on a spring un3cxc p/6hi*vm4j mm .k)k 4bhadergoes SHM. It goes through 10 complete oscillations in 5.0 s. What is the period?j xcmchkh6*v4ibp/ ma4 3m.k)

  A mass vibrates back and forth from the free end of an ideal spring of sprindcob 3m*zb ;7wg 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 eq7z3d mw*b;cobuilibrium position?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m q pwcj,) )8()(oc 7hzwo pgvcyalong a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a sp(g (jwc o7)w h)pqp)cvzy8o,c eed 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 en/bv4w57xa gdrergy is 8.0 J at this time. The mass is cut in half, angbx7rav 4w5/d d the 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 ald2kk) s7fxgq3 xt5pj0ong a horizontal, f)g kst3x fpdk05qj2x7rictionless 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 of vibration?

  A 0.50-kg mass is attached to a spring of spriddue;9qd olwga:c hlt06go4y6 / 1q :jng 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 theyt cdg:09:/6;duqloe14d oqaw l h6 jg 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 constan*plfs ,kf2ho69 kohj2 t 50 N/m and set into simpl6hk9 2hk*o,f 2lpfso je 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 of a horizontal springo7u:jgxg,xd esocr q(ph ,;2. 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 system?gq ,ugxd,7(o;r.e: s opx2ch j

  A mass vibrates back and forth from the free endsv 59eu5)nas7o f -njz7vv )jb of an ideal spring of spring constantj9szn eja5vsvbfv u-o 7n )75) 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 system is displaced 10 cm from its equilibriwh z/08zqlr d+um position and released. A frequency of 4.0 Hz is observed. What frequency would be observed if the mass had been displaced only wd h8l0q/z+zr5.0 cm and then released?

  A 4.0-kg object is attached to a spring of spring constant 10 N/m. The object iba; g49vv ueb7sbve9 g ;b4a7vu displaced 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 spria.t16x( ll z,pbgwo x.ng of spring constant 10 N/m. The object i(b.6 w.1zap,oxglt xls displaced 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 bfq)ebsq+:yi8 4w ks ,18 N/m, displaced slightly from its equili:4,key+q isq8b)bwfs brium position, and released. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequency of 1.27 Hzdjujstqs/ru 9q 0lu* t843lr 2 when displaced a distance of 2.0 cm from equilibrium and released. What is the maximum velocity attain u9/rs4td r20*3jtslulq jq8u ed by the mass?

  Two masses, A and B, are attached to differe*tl( 6+m +zlw a wefdivt9,)innt 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 the maximum speed of A comparewitvl9)+ wf* , ntl az(d+iem6 to the maximum speed of B?

  A 0.30-kg mass is suspended o zvz48 /g pjuafznw;*/r j1cpm +t8n.wn a spring. In 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 uw 8 1zn. tcp za;m/nwfjvp+jz8gr/*4from rest. Calculate the period of oscillation.

  A 0.30-kg mass is suspscse/bbmc9 jm na-v+ ;zd(b(-ended on a spring. In equilibrium the mass stretches the spring 2.0 cm downward.bs- j(vse9mma-zb ( /cdbcn; + 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 x y5 i5, aka/ bg*by,9deq/ugk3c- yidspring 2.0 cm downward. The mass is then pulled an additional distance of 13iq- /gyda bg*u key5y,,ix/k c5a 9db.0 cm down and released from rest. Write down its equation of motion.

  An object in simple harmonic motion obeys the following position versus timeysfe*wac pq(6h.+ tx4 ;arrz3 equatc(;3ftr4pw*s xyeahqr+a. z6ion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following positio3 .0ikj: jkk+ispa)s -y7gxzc n versus time equatix0:js.jpkgiy3 z-a 7+s)kick on:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following positr3thv- :3x rjdion versus time equat3hdt-vxr j :r3ion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to tik6dd z (w.-bvhe free end of a spring executes simple harmonic motion according 6 (vdzdiw-.kb 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 with a force constant of 2+ja:kv -hvkn 20.0 N/m oscillates on a horizontal, frictionless track. At t= 0, the mass is-2v:ajkv nkh + 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) W2 wd6zcdq;gq x2/zb9,aypwohl, 1*p vhat are its frequency and period o26cab / hl 1o,q9;zpxqwwv 2z*d g,dpyn Earth?

  A 3.00-kg pendulum is 28.84 m long. What fk)sg;yz.q+.tgwz/w8o6*+mgrf kymis its period on Earth?

  A pendulum has a period of 2.0 s on Earth. What130fwij6yt tv is its length?

  The pendulum of a grandfdta xudh;3l4z 6 xm46)ylix6s-xw rz(ather clock is 1.0 m long. What is its period on the Earth6uz (w ym4xltxh 3);6ilxs-daz4x rd6?

  The pendulum of a grandfather clock is 1.0 m long. What is its pe( 9gbfmm 9 ltk nzw2n9qbv g4,dbm,2l4riod on the Moon wherelz v q492tm b9nl,d4gmf,wkb(2mgnb9 the acceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum conl:f fz:af8f;d sists 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 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 zf8ffdl::af ;instead?

A simple pendulum consisting of a 20-g mshw500u*zmfau b74m * vzc(h rass has initial angular displacement of 8.0e. hz*m5fwc7mhb 0uzrv 4* s(ua 0 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 given time. Thea 1d3o1s /wlau6u-2 3lgx ehee frequency of the wave /1le3a16l- su gdeohae3x u2 wis 120 Hz. What is the amplitude?

  Figure 11-2 is a "snapshot" ofc z:.:.(aleqad2 fgjm a wave at a given time. The frequency of the wave is 120 Hz. What (azc2ge .:jda.l m:qf is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given time. Txvfh3ix30q3,n8i2kc)ext lmhe frequency of the wave is mxv l0 inhqe )3cx23ik,t3x8f120 Hz. What is the wave speed?

  What is the frequency of a wave which has a peri9jqq 3nplo epa5/1i4bod of 6.00 ms?

  What is the period of a 1kxx)m3ozk+ jd/kjp (wave with a frequency of 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz and n .u3zs 0hqne1a wavelength of 3.0 en zsuhn.0 q31m?

  What is the velocity of a wave that has a wavelengtd)fhg,e mxlhr d6;l/l.*gdt:ag(qq) h of 3.0 m and a frequency of 12gqdldeg,6. (l *tm g)d/lx;)afh :rh q Hz?

  What is the frequency of a 2.5 m wave travel u6wga 2zby) m+agte7 :;-c(iu wijzd;ing at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is under a tensl*zsl(fsl/it;oh436 jtwq -;) fcr k0jh;jhyion of 1350 N. What is the w-s* ;(tt;4jz3h6wo rk)/h c qf0lshl;fylijjave speed?

  A string of linear density 6.0 g0mdge9 at)w8hr5 -qxr6 iz (mk/m is under a tension of 180 N. What is the velocity of prop(59zah) x qr e80 6md-kwmgitragation of transverse waves along the string?

A wave whose wavelength is 0.500 m is trd fybyke* *7d-aveling down a 500 m long wire whose total mad*y k7db-y* efss 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 s8ofb1q6*b zppc,dc *1jbl ew(tring fixed at both ends is 200 m/sc *,*bd8fcboejl 11 bpq (z6pw. Which one of the following is not a resonant frequency of this string?

  If a guitar string has a fundamental frequency of 500 Hz, whics48 i+oi j7f87n i- cnhyu.fuwh one of the following frequencies can set the string into resonant vibrations i+iwf-i7j ho488u.f n 7cynu?

  A stretched string is observed to have four equal segments in a standing wave ot9 x8hb9s kh1driven at a frequency of 480 Hz. What driving frequency will set up a s 9h19xstbk8 ohtanding wave with five equal segments?

  A string, fixed at both ends, vibrates at a fre o3p)5u)owy*3jxlskd x8wc / squency of 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency i spwokj3cy3* x/s 5)8d)olx uws 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. What should (reswcgj*mvb axbv zw8+d6 fe) 4t,2 (its length be if its funbv64rmf b a 2)+et(z gw8se,(dj wcv*xdamental resonance frequency is 220 Hz?

  Find the first three harmonics of a string of linear mass densit)ob zkt a*8zb1y 2.00 g/m and length 0.600 m when it ib8z)*bz1o atk s subjected to tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. Whencq ag5kwe1o6-aatx / / the string vibrates at a frequency of 85 Hz, a standing wave with five loops is forme 51oqa6 kac /xga/-tewd.
(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.