The time for one cycle of a periodic pf4,a/v bduyz uiew(;: rocess is called the

  For a periodic process, the o7 m f85jaf7xsnumber of cycles per unit time is called the

  For vibrational motion, the maximum displacement from the equilibriu)n.:j/ 40d vh8 rhhww+lujwqh7( mmr sm point is calledmq8)(udwhhvrswhh n4.jj w+:l/ m70 r the

  A mass on a spring undergoes SHM. When the mass is at its maximum displacement xpe65if do38ifok-t7 from equilibriup75 ik3ff-itdoeox6 8m, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass p8j.ua-m3dihmo z/6hsasses through the equilibrium position, its instantam-i6zus8 mad. 3jho/ hneous velocity

  A mass on a spring undergzvo qif;5( v+w3shh 8roes SHM. When the mass is at maximum displacement from equilibrium, its instantaneoufzh srwvi h8q35vo;+( s acceleration

  A mass is attached to a vertical spring and bobs up and down between points( bj7 i-rh4 tzijyi1b5 A and B. Where is the mass located when its kinetic ei(4i7 -rb j t1yzj5hbinergy is a minimum?

  A mass is attached to a vertical spring and bobs up and down between points A an jy8 c73uxwf+ed B. Where is the mass located when its kinetic energy is a mx +w78c3f jueyaximum?

  A mass is attached to a vertical spring and bobs up andkwi w9 c(hg0p/ down between points A and B. Where is the mass located ww9g( ipwhk 0/chen its potential energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down between/h99ad)fa eg d points A and B. Where is the mass located when its potential energy is a maximum?e9dha dg a/f)9

  Doubling only the amplitude of a vibrating mass-and-spring system produces w 8yks44h9rx.z nvhh/ahat effect on the system's mechanical energh k 4r 8s/nah.9xzhvy4y?

  Doubling only the mass of a vibrating mass-and-spring system produces wzh1ef96 p(xo:izczo:ie24tt hat effect on the system's mechanicth4:t oz9ez21iixpc(zo f6: eal energy?

  Doubling only the spring constant of a vibrating mass-andr du7x-ve*)hq gf4x4s-xk)hjv; cy i7iq9v s0-spring system produces wha0f v; u -viqh7r j*isske yhxd4)7)xqx4-gvc9t effect on the system's mechanical energy?

  A mass oscillates on the end of a spring, both on Earth and on te/v )v dv). *snhqat4dhe Moon. Where is the * .h/ ) veadtdv4svqn)period the greatest?

  Increasing the spring constant k of a mass-and-spring system causes what cs-uk ;mw q:r2kind of change in the resonant freq:r ;qmk s-2cuwuency 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 changew3o625u :4sfzmf;b ku3xq ikh in the resonant frequency of the system? (Assume no change in the system's spring 23su o46f;u:qi hz 5w3kmf bkxconstant k.)

  Increasing the amplitd4x.3h,z hym) ol xmy(ude of a mass-and-spring system causes what kind of change in the resonant frequenc.d34 )mhxzmoy hyx,(l y 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 se2zi/ z/ s4smz c4uqc;tring of length L. For this system, when undergoing smallcz/e/quz ;zsm si4 42c oscillations

  When the mass of a simple pendulum is tripled, the time required for one comp42t dzu;g rrztgnp,6:lete vibrtn6ztgd ; g:,z2ru p4ration

  Both pendulum A and B are 3.:0udsahzkcisg 5; 5 l40 m long. The period of A is T. Pendulum A is twice as h;ag0i k54 s dh:5zulsceavy as pendulum B. What is the period of B?

  When the length of a simple pendulum is 0vk k7a1q2 pg3a,wg1mdpk1k o:k,y xztripled, the time for one complete vibration increases by a fad0mpkw7akk 1:,k,g vo3q y1zp1k2xgactor of

  What happens to a simple pendulum's frequency if bo*q l1b.hb9po) g grz2bth its length and mass are increab)rghpbl q2b o*.g9 1zsed?

  Simple pendulum A swings back and forth at twice the frequency,agvg7z*+m h o of simple pendulum B. Which statghv+7gzo* ma,ement is correct?

  If you take a given pendulum to the Moon, where the accelaqx4y(:u ru 5dyb3(r1fj6qtperation of gravity is less than on Ea1( dyu5pr:a6(tyf3 b4xjq u rqrth, the resonant frequency of the pendulum will

  Curve A in Fig. 11-1 rep.ntq9 ugp rubg(8c,v(;np( j gy d(xy/resents

  Curve B in Fig. 11-1 represen8ar7 z4 snasc/ts

  Curve C in Fig. 11-1 represent3nvjh+2tf0baxps,v , a ra8m0s

  For a forced vibration, the amplitude of vibration i7vd(i ycnnpz w-0 9sr)s found to depend on the

  In a wave, the maximum displacez ethzio+jk1q u1 v8 k,4tdx,5ment of points of the wave from equilibrium is calle4zkkd1ie,5 81x oq,ht +vutzj d the wave's

  The distance between successive22 v-ncwkv i;n crests on a wave is called the wave's

  The number of crests of a wave passing a point per unit tivhhr(639cu4 /zs 0o arpgd1ceme is called the wave's0a43 16vch9udrgp ceh /(rzos

  For a wave, the freqgg9digu7 s;a9k3 2 gpvuency times the wavelength is the wave's

  The frequency of a wave ij)cgqin8my30rb / miqs p8/n6ncreases. What happens to the distance between successive crests if/8n n j 3p/c6gqir)m mi08ybsq the speed remains constant?

  A wave moves on a string with wavelength l and frequency f. A z0l xo,yc p6b3second wave on the same string has wavelength 2l and travels with the same velocity. What is the frequency of the secon zlcb,3 py6x0od wave?

  Consider a traveling wave on a string of length rr36jo7tz rv qa0/((xzg gli,L, mass M, and tension T. A standing wave is sqax7/ 3ltvzi6((rjr g0gor, zet up. Which of the following is true?

  A string of mass m and length L is under tension T. The speed of a wa-t:akkncv1p5x y2e*m ve 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,1cxyk5 amkv2 -*etnp: with no change in length?

  A string of mass m and length L is under tension nbu-e( yw4n 2eT. The 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 in m ynnwb- e2(4ueass?

  A string of mass m and length L is under tension T.6 12yd,ibuzau The speed of a wave in the string is v. What will be the speed of a wave in tuub ,62z iady1he string if the tension is increased to 2T?

  In seismology, the S wave is a transverse wave. As xp q2fs,s4xg3an S wave travels through the Earth, qg2f4 xsps,x3 the relative motion between the S wave and the particles is

  In seismology, the P wave is a l9 xr v3kwm)+rj+.rqp rongitudinal wave. As a P wave travels through the Earth, the rela. ) p v9qj+r3kr+rwxmrtive motion between the P wave and the particles is

  The intensity of a wave +a2a:m5pji but*k w mka:)tu 7is

  A wave pulse traveling to the rightkbs08 y-iu7v6f0lkp5 mi1t ,evwb1 mb along a thin cord reaches a discontinuity where the rope becomes thicker -7vyl uib5itbm01ms 0b1pf 8 k6k w,veand heavier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equ(ew5rnbo2ti n ;6i8r val positive amplitudes pass each other on a string, one is traveling in2wvi bt(ner8o;6r5toward the right 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 one traveling s6tt)py2k lw;toward the right has a positive amplitude, while the one traveling toward the left has an equal amplitude in the negative direction. At tktt2syl; )6 wphe 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 whenaijw 6y-ocs(5 c f,;lgu,cxp :

  If one doubles the tension in a violin string, the fundamental frequency of wm(tr v g)jo,);8j b ,yxeg*kpthat stri,v g;() e)bgp 8jrxmjtk wo,*yng will increase by a factor of

  What is the spring constant of a spring t y0)0f(ex 4 .nz3 os,ljfki8fs0ffgtnhat stretches 2.00 cm when a mass of 0.600 0f z()ofilgf48n0ets n,x.yjk3 f f0skg is suspended from it?

  A mass is attached to a spring of spring constant j.ec w)5 nuc.v60 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 5. wccv ).uejnmass 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 6ysb2 fv qx((ew)bdp6 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 lbpd)q yw2v(6fx 6 es(bet 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 +i .oo ex*le.w zmbiinil8;+060 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 0e.eol .+;ximbi+zo8i li*wn go back to its equilibrium position when it is oscillating. What is the frequency of oscillation?

  A mass on a spring unao1ojyr+z 1 8pg+djj 5dergoes SHM. It goes through 10 complete oscillations in 5.0 s. 1o5g+zyjoa pjd1j + 8rWhat is the period?

  A mass vibrates back and forth from the free end of an ideal spring of spring c-v+arh u(dqf e+;;zt3,: ihbreo xv;fonstant 20 N/m with an amplitude of 0.30 m. What+v zo;t:r+i(qhuev;;hf3aderb- f x, 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 ok2d p-55o:t10e +qwixsb wpm qf 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 equilibr dw 5+bkw-50q px:e1i pqmos2tium position. What is the total energy of the system?

  A mass undergoes SHM with amplitude of 4 cm. The energy i8i(r1u)dwdrc p8k x1qs 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.(1iru d 1q8k pwrxdc)8 What is the energy of the system now?

  A 0.50-kg mass is attached to a spring of spring constant 20 vs,f*k8z okxr)i1 +pcN/m along a horizontal, frictionless surface. The object oscillates in simpzk cv s*oxik,fr+)p81 le 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 a7t/)b* +jgysxxqd*v wi3kgr +long 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 loq/x*+gg7rkbj* dx t)is y+w3vcation 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 sprin;hdw pe8vfzdn4,8 6mcg constant 50 N/m and szh ;ew mvfcd,8p6d4 8net into simple harmonic motion with an amplitude of 0.10 m. What is the total mechanical energy of this system?

  A 2.0-kg mass is attachedug/s*7enz6/ vpa /zks to the end of a horizontal spring of spring constant 50a /eusn/7s/zg 6zvp k* N/m and 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 from thenwl j*8x;4r u wbe;r0x free end of an ideal spring of spring constant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kinetic energy of this vibratin8e; n* j ww;xrrb0uxl4g mass?

  The mass of a mass-and-spring system is displaced -o; 2 4qkmye xgorq4m)q-cz( cwd1y)k 10 cm from its equilibrium position and released. A frequency of 4.0 Hz is observed. What frequency would be observed if the mass had been displaced only 5.0 cmq ;c-od emmyc2wgrz )yk4q4( 1xq-k)o and then released?

  A 4.0-kg object is attached to a spring of spring constant )60mum.wv83. 9mruiuw/nzttjq p m7i10 N/m. The object is disuju97t wuvziwtq8mn./3m i6 r0m ) m.pplaced by
5.1 cm from the equilibrium position and let go. What is the period of vibration?

  A 4.0-kg object is attached toalxt htm s00ne2f*q)0o xf.5b a spring of spring constant 10 N/m. The object is dlmt0ef5s0x.qofna t) *b 2h0xisplaced 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 springrm:x;lazs k rd:/ nv47 of spring constant 18 N/m, displaced slightlyladx7v /mr;4rk :ns:z from its equilibrium position, and released. What is the frequency of its vibration?

  A mass is attached to a spring. ve n0*hv :g zvz5un8wsrkfi6qeodps)z29) +2 It oscillates at a frequency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. Whn0+ :sezqvr*gi n5)2k zv 98d6h2v)sofwp euzat is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to different springs. Mass A vibrates ,y zbbg-qkqsb 12k 1t+with amplitude of 8.0 cm b z kktsb-q,qy+g1 12bat 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 compare to the maximum speed of B?

  A 0.30-kg mass is suspended on a spring. In equilibrium jc/hdqv 5)r2z pma)k-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. Calculate the period cjmkaz2) 5qr-)h /vp dof oscillation.

  A 0.30-kg mass is suspended on a uv m*v1tu1ll-spring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an advl* -1muv 1tulditional distance of 1.0 cm down and released from rest. Calculate the total energy of the system.

  A 0.30-kg mass is susrpp 1 g2hr/ o-zum6d3vpended on 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 from rest. Write down ito z /uv36mphp d1-grr2s equation of motion.

  An object in simple harmonic motion obeys the followin8y6 k2e9;xtkfyiq )e 0 wc,1en 5gesnsg position versus time equatio8sge )s5nect91xe 0w;fe 6nk yk,q2 yin:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following position 8 n+msoy we wklkb,7. 088upwwversus time equatnplwkw7sb8 m0o+u 8k.,8we y wion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following position versus time equ:au9u rwyv*f -7 bu6kxatu*:yka9ur7vx-fw b 6u ion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the f hac)4,d0 ckmoree end of a spring executes simple harmonic motion according to the equatioaoccd 04h)m k,n $y = 0.50 \; \sin (18\pi \times t)$ 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 forcxduf x7;o t27ne constant of 20.0 N/m oscillates on a horizontal, frictionless track. At t= 0, the mass is released from rest at x= 1xftn72udo7 x;0.0 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 swr:insk7 p8:k 0 bj+pyyd:6e lqings in 8.0 s. (a) What are its frequency and period on Eartidl8srk0yp q jpyk:b +:7: 6neh?

  A 3.00-kg pendulum is 28.84 m long. What is itjg m zhiscxu/l)p7r5,t*) z/ is period on Earth?

  A pendulum has a period of 2.0 s on Earth. h hdbt6ftb63 ;vwa(1grng 6u7 tw( :bxWhat is its length?

  The pendulum of a grandfalsim:ck9ms bzktme+8( n*60o ther clock is 1.0 m long. What is its period on the Eartsozsc8inm906 *:t(eklmmk+b h?

  The pendulum of a grandfather clock is 1.0 m long. What is its perf8ai q4vr7 x(m s/: orp5;q s.q9lrwcwiod on the Moon wher:/l;9fqq5smpcq.(s oiax rv 74 8wwr re the acceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass ann9 pc8tec4 4*ffy -sqttached 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-kc8ne9sfq* fpn4- t4cyg mass (same diameter sphere) had been attached to the string instead?

A simple pendulum consisting of a 20-g mass has initial angular displacement of j,rx4g ,ksh8ml4+i z zvqk4u: 8.0e. It oscillates with a periodkj:r z4l vgi,su,8 hmz4 x+4kq 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 "snapshotwir(6z xa3qn/u)y0s m " of a wave at a given time. The frequency of the wave is 120 Hz. What is the amplitumiq)a(swzu3/6x n0 r yde?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequeedr zy)(:5ta ancy of the wave is 120 Hz. What is th5taer(y)az: de wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency e6tgz )aplt8imy .+ s7,deq6w of the wave is 120 Hz. What is tpt6e t a,.6w+ is7q)m8eldygzhe wave speed?

  What is the frequency of a wave which has a period of 6.00 mx ) lixzd z5i- y+*qcvo81+jizs?

  What is the period o8x58 r1xmr pphf a wave with a frequency of 1500 Hz?

  What is the wave speed if a wave has +i*, 4voy4jbup kh- ig v zmr-p16i7hra frequency of 12 Hz and a wavelength of 3.0 m?4p *i- 4,r6hjkpvirzi hygm+bou-7 1v

  What is the velocity of a wave that han -n 6ea8bitz0vdrr/ /s a wavelength of 3.0 m and a frequency of/0 rva bzt6dn8 ir/e-n 12 Hz?

  What is the frequency of a 2.5 m wave travelindv65d b0el i7g:g+cgl g at 1400 m/s?

  A piano string of linear mass density 0.0050m) l+scy5.fvl.sdr(h z07ow(hp o x9q kg/m is under a tension of 1350 N. What is the wave s5h+ 7l ofys slw(od)xc( r q.p.hmvz09peed?

  A string of linear density 6.0 g/m is under ae) ewg+:n 6xi.)rhcn g tension of 180 N. What is the velocity of propagation of transverse waves along tnrg h6 cwn.i+)eex:)ghe string?

A wave whose wavelength is 0.500 m is traveling down a 500 m z688d jc r24nkv 70axzudym u 6jr:m5ylong wire whose total zu 2ycujydavrx8 7kd 865 0j r:nmmz64mass 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 x7ffl)n6y/nkde *2hs 2.0-m long string fixed at both ends is 200 m/s. Which one of the following is not a resonayxld6n 7 hff*skn2)/e nt frequency of this string?

  If a guitar string has a fundamental frequency of4pdboc.2dn 02qgtuoey wq0( 86+enl b 500 Hz, which one of the following frequencies can set the string00 bq.d8u o o bw6(2ygete+cn2nlqd4p into resonant vibration?

  A stretched string is observed to have four equal segments in at oa.*;r poj7lyk9b9b8v:ww e standing wave driven at a frequency of 480 Hz. What driving frequency will set up a standing wavevw bk l;a et79:bow*9 oyrp8.j with five equal segments?

  A string, fixed at both:*mzx.xa( y2ujcbnu x)u1 8 hp ends, vibrates at a frequency of 12 Hz with a standing transverse wave pattern containx*hpuja2 :x8xzmyn).ucb1 ( uing 3 loops. What frequency is needed if the standing wave pattern is to contain 4 loops?

  A string of linear density 1.l2f ztxf412 e ki*icf.5 g/m is under a tension of 20 N. What should its length be if its fundamental resonance frequency is 220 Hzf2zilkcfi*214fxe. t ?

  Find the first three harmonics of a string of linear mas hl:ud6 nql7d )n3hi+fs density 2.00 g/m and length 0.600 m when it is subjected to tension of 50.0 fi 6) + :nq7d3hludlhnN.

A string of length 2.5 m is fixed at both ends. When the string vibrates at ak,u k2x 5 7olznaob.v9 frequency of 85 Hz, albx.no29vu5akzk7 o , 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.