The time for one cycle of a periodic pp:v.ky1bti wl(xq2pml. ov / 9tk(d e*rocess is called the

  For a periodic process, the number of cycles per unit time ilb41/zu jd*op* slg5cdd gh)0s called the

  For vibrational motion, the maximum displacement from tkfh rxqjn 1, fy.g*:i/vl8.xi he equilibrium point is cal vi ,81 gnq*xjrl hyf:xik/..fled the

  A mass on a spring undergoes SHMb- k59f 1xguhu. When the mass is at its maximum displacement from equilibrium, 9f5uk-xgbuh 1 its instantaneous velocity

  A mass on a spring undergoes SHM..chn ;(xhbwpl6 d1ro roy d9is-1 p2/q When the mass passes through the equilibrium position, its instantaneous veloci9o1py .(sxnwhip/oh 2;rqb6d -rlcd1ty

  A mass on a spring undergoes SHM. When t,f1flu8sx3 y fhe mass is at maximum displacement from equilibrium, its instantaneous ,f831xuflfs y acceleration

  A mass is attached to a vertical spriko1 -e6f gv3ring and bobs up and down between points A and B. Where is the mass located when its kinetic energg6 k o3ifvr1-ey is a minimum?

  A mass is attached to a vertical spring and bobs up and down between ps n,o+ o9z9kxm;b ejb:oints A and B. Where is the mass +,okm9:zeo9b j bs ;nxlocated when its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up aa7.(t )6s5cmimvl qby r+vumsw0- b*end down between points A and B. Where is the mass located when its potembvq rci5y u+7sm.-)wb0sat(6v* e l mntial energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down betweea*;,epa0kru z.p dj(xn points A and B. Where is the mass located when its potential energy iza.0;akrup,d( * xejps a maximum?

  Doubling only the amplitude of a vibrating mass-and-spring sysbrk yfk2pi*k( 9) 49wsoeiu9rtem produces what effect on the system's mechankfsuopr )( 9bwkr2k4e 9*9 yiiical energy?

  Doubling only the mass of a vibrating mass-and-spring system produces what edvaap /yvs46 0 ) v3mxyojy p4-fu23zvffect on the sy/42yvz-0yjv3x3 a pvd ovyp4uf6 sa)mstem's mechanical energy?

  Doubling only the spring constant of;pqei qqjos*7 (+gyvd198 trl a vibrating mass-and-spring system produces what effect on the system's mechanical enerr*q7iqto yg9l+j8s e(1;pdv qgy?

  A mass oscillates on the end of a spring, both on Earth and on w1m qie7,6hzv the Moon. Where is the perh6v ewm ,17zqiiod the greatest?

  Increasing the spring consta a*j9zak 1gk/esy, 6j5exsuf:nt k of a mass-and-spring system causes what kind of change in the resonant frequency of the system? (Assumk:z1xsj 6euayf s* /g5ej, 9kae no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system causeelg/fb m /o1 cwe4p0s5s what kind of change in the rf es5c/e04l/m w obpg1esonant frequency of the system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring s4s5ifl51z(m t nip.usystem causes what kind of change in the resonant frequency of the system? (Assume no otpszns5 (15 ul4imif.t her 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 wesi3 9nsh mf-14hh uw;yightless string of length L. For this system, w uhs-h9shi4y1f;m w3 nhen undergoing small oscillations

  When the mass of a simple pendulum is tri31 y6uv3 ye8ondhfd+k pled, the time required for one complete vib33 vdkn 1y8ue df+hyo6ration

  Both pendulum A and B are 3.0 m long. The period of A is T. Pendulum A is twiissy: j2vu*pp9+;rh 7tyzc/ z ce as heavy as pendulum B. Whauri:s7+9py2spzvcy*z /hj ; tt is the period of B?

  When the length of a simple pendulum is tripled, the time f 0g*mrn ;c w9bho*(junor one complete vibration i*jr n c(m0ong9wub;h*ncreases by a factor of

  What happens to a simpl6 .v,tqrc hrp gn07;cye pendulum's frequency if both its length and mass are increa cghc.rqtvr7 0n,y6p; sed?

  Simple pendulum A swings back and forth at tsv12 w zb6fc1twice the frequency of simple pendulum B. Which s 62vcswf1 b1zttatement is correct?

  If you take a given pendulum to th2re vi- l3qni7e Moon, where the acceleration of gravity is less than on Earth, the resonant frequency orv3 -ilq72ie nf the pendulum will

  Curve A in Fig. 11-1 r6wjpynr148emu2i -w0 h,css j.8y5wfnz 6xo nepresents

  Curve B in Fig. 11-1 rehvm9o9fe+s 8zfgx a+ :p8b nq0presents

  Curve C in Fig. 11-1 remx*-w 22a (gpltz.cho presents

  For a forced vibration, the amplitude *rpted 7 ri7 /6-25r2gaq8h ay xnvjgxof vibration is found to depend on the

  In a wave, the maximum displacement of points of na4ep4rs.t7 a xcl+x f)or* f4the wave from equilibrium is called the wav*x.)n 4s4ef 47pfcarox+lrtae's

  The distance between successive crests on 8uens 45dbahcqf :fn uz 7k)/2a wave is called the wave's

  The number of crests of a wave passing a point per unt4 fm9b+zt vd(j2 x5qnit time is called the wave'bzx 4n tqd(t +9m52jfvs

  For a wave, the frequency times the wavelength itc qqi1gu, .y2s the wave's

  The frequency of a wave increasesi ic38mmjoof.4:k1iz . What happens to the distance between successive crests if thc k.j:8mfioi3z4 1imoe speed remains constant?

  A wave moves on a string with wavelength l and frequency f. A second wave kpv;t.mjm -9 j h., wortkkm.5on the same string has wavelength 2l and travek.9jm j mkok p.tw;,mr-.v t5hls with the same velocity. What is the frequency of the second wave?

  Consider a traveling wa3 e-iq56ip qdty-o2 ntve on a string of length L, mass M, and tension T. A standing wave qy3dt2eqti-oi n- p56is set up. Which of the following is true?

  A string of mass m atjmwwy .;l ad:.si;y 1hpckha,6 88 mlnd length L is under tension T. The speed of a wave in the striwym;;ai.6 8ad,m: ycspljw. k1 hlh8t ng is v. What will be the 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 length L is 5l7int g*) a1t* qqi wj0h/jkbunder tension T. 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 increabw /l1 i7ajjq)q*iknt t*hg05 sed to 2L, with no change in mass?

  A string of mass m and length L is under tension T. The speed of a w ;m2to4n1qexd y;rlm 6ave in the string is v. What will be the speed of a wave in the striem;t moq6; nxd1r42yl ng if the tension is increased to 2T?

  In seismology, the S wave ise1 dh eqv/c3t7 a transverse wave. As an S wave travels through the Earth, the relative motion between the S wave and the p dhcee/v7q3t1 articles is

  In seismology, the P wave is a longitudinal wave. ubq:l8h6pgusr,e9ln 0 tln2w,g1ov )As a P wave travels through the Earth, the relative motion u nr6eg08oswlut):,gv1 l, nqh9p b2l between the P wave and the particles is

  The intensity of a wave wirjbq 0oky7j eb,78. is

  A wave pulse traveling to the right along a thi:r7axd8(c gijry uw8w, hs:1an cord reaches a discontinuity where the rope becomes thicked7:x8rrw j c:wyi s ah(u,18gar and heavier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each other on a strkuvtfpm 4b ve 53v9gc0 5*r;ubing, one is traveling toward the right and the other toward the left. A ; m*fepurk4b 53v 9tv5bcvug0t the point that they occupy the same region of space at the same time

  Two wave pulses pass each othe a4r/;;.zzma /hs: dd)kenhf er on a string. The one traveling toward the right has a positive amplitude, while the one travel4edfm .ra a/k)zz /hdhn:s;e;ing 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 whilegnf2) 4z5w2 r0omnlmd - quj7ht4y fq- 4f,en

  If one doubles the tension in a violin string, the fundamental frequency ofqu(l,po 24e90nps pnrd8a i( s that string will increase by a factor o0 9er s2npa no,(4(dlupsiq8 pf

  What is the spring constant of a spring that stretches 2.00 cm when t:j uwvxe +upy8: .3fba mass of 0.600 kg is suspendedpt8xew+by3 : .jf:uuv from it?

  A mass is attached to a spring of spring constant 60 N/my,l5r2 8,hmprltuxe, 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 oscillating. yr2 lp8mlue,,5,t xhr What is the amplitude?

  A mass is attached to a sb 8;l ol;pqj-wpring of 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 po lq b-;8wo;jlpsition when it is oscillating. What is the period of oscillation?

  A mass is attached tole1,w-o jq8 ky a spring of spring constant 60 N/m along a horizontal, frictionless surface. The spring is initially stretched byq eo -wk8j,y1l 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 goex)lud2(7 i asfs through 10 complete oscillations in 5.0 s. What is tsla2(duxi7f )he period?

  A mass vibrates back and forth from the free end of an ideaha0 e5a1f a3 g*btx4;b mr4azol spring of spring constant 20 N/m with an amplitude of 0.30 m. What is the;4 afg3 4o5bab*zma 1t0 harex 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 constantxv5 jubrec2. y ug:(x/ kzt/,q 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. Whatvb,2c.xr/ uy g/ q:keux5(tjz is the total energy of the system?

  A mass undergoes SHM with nvyhyvj7f 6k,5/t u(u 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 energy of the system now?k/uy,tv 6vyu7fn5 h(j

  A 0.50-kg mass is attax b,m/ok7.fqg 5 zqic8ched to a spring of spring constant 20 N/m along a horizontal, frictionless surface. The objectzq.go8 kbif, 7cqxm5/ 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 -.k9 a(fycqvr ws 0aw67 itx7s* ipzr/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. At what location are the kinetic energy and the potential energyv*x79kasicwt 0 r( 6f 7sarypz-q /.iw the same?

  A 2.0-kg mass is attached to the end of a horizontal spring of spring constant 5tar9hejc l(; 17r.eudx1 a02ubnmj j +0 N/m ah ue x ujrj9and7;be0r2tl1+m(1.cjand set 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 attached to the end of a horizontal spring of sprer2i6s8p92:ecvlit6a nq7a x/ ahv 5 ring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the total mechanical enern a: 2v2 vl5tsqrhecrp8ai697a6 xie /gy of this system?

  A mass vibrates back and forth from the free end of an jh;ur*5p hvfw,fp+ z8ideal spring of spring constant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kjfrh,u w *f8v;+zpph5 inetic energy of this vibrating mass?

  The mass of a mass-and-spring system is displaced 10 cm from its e24nq7 kx46jmp bgn( +db+ivugquilibrium position and released. A frequency of 4.0 Hz is observed. What frnjk47g 6i4vnm x (dup gq+b2b+equency 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 sprinw, 2 jc1nqypt2bqo3b :g constant 10 N/m. The object is displactqw2 y 1bncb3q:o 2pj,ed 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 so oae.+y,cb 3qipy1 (ypring of spring constant 10 N/m. The object io+p(oya qe icb3. ,1yys 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 h 8a-t; de+ligspring constant 18 N/m, displaced slightly from its equilibrium position, and released. What is 8t-glheia+;d the frequency of its vibration?

  A mass is attached to a spring. It oscz+;kq2 rqrj6 dillates at a frequency of 1.27 Hz when displaced a distance of 2.0 cm frorq6+ dk z;rjq2m equilibrium and released. What is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to different dxgzg*w w7; l1springs. 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 atzd w;g7wx1 g*l 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 qo gs,a:j mq4oy 84:x8smph0nstretches the spring 2.0 cm downward. The mass is then pulled a8mo: s m 4q 4sao8nq:yxj,phg0n additional 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 equilibrium thegj1o5a )qc(q bm6vwq) *fq+kj mass stretches the spring 2.0 cm downward. The mass is then pulled an additio(gkqq5a ) +bjf1*qoq wvjm6)cnal 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. In9cy ba1ek6o ines+7(v t5:poc equilibrium the mass stretches the spring ( +5bc: v1csoonk 79apetei6y2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and released from rest. Write down its equation of motion.

  An object in simple harmonic motion obeys the following position versus nx.q fap b06nke:8 jb.time equationa.8:xk0 q6fjbb pn. en:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmldz 99 - h*cr)xyen d9un5r7uyonic motion obeys the following position versus time equation:)99lu-hx ne*yz9rcr ud5y7 dn
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following positiop mxbx3 :;o7apn versus time equamoxp 7xp; :3bation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring exf6dzwsm2nyw6 y;h y0 qs5 )v0oecutes simple harmonic motion according to the equationy nsvw2 q 0m)sh 0o6yf;5dy6zw $y = 0.50 \; \sin (18\pi \times t)$ where y is in meters and t is seconds. What is the period of vibration?

A 1.5-kg mass attached to sprin cqxb9,rj9w3 c t5)gskg with a force constant of 20.0 N/m oscillates on a horizontal, frictionless track. A q9k)9 ,jgb5wsc3x trct 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 swf-v( w )w4ufqi; nie82 eqo:ukings in 8.0 s. (a) What are its frequency and period on Eartw4(k8;v2qoueq) ie-fn : uf wih?

  A 3.00-kg pendulum is 28.84 m ly-x3+-etge2i p*lahq ong. What is its period on Earth?

  A pendulum has a period of iqhqy: gw:ikry/ggob9o5:03 2.0 s on Earth. What is its length?

  The pendulum of a grandfather clock is 1.0 m long. What is hmejqx a ye0(k*-x0n0jxg h. -its period on the Earth0 0xq-n.jj xaehx0ghm( ky-*e ?

  The pendulum of a grandfather clock is 1.0 m long. What is its period on thepa84 mlq37sgf Moon where the acceleration due to gravity p3m7f q8asg4lis only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass nq2k2hjm iq+qgz9 +ns k 1u(a79vmm-cattached 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 m(c9ai-vu2njgks12q 9q 7 mmn ++kmzhqass (same diameter sphere) had been attached to the string instead?

A simple pendulum consisting of a 20-g mass has ins w(8, 9mstcjfitial angular displacement of 8.0e. It oscilw9 s sjtf,8cm(lates 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. The ;iu7:z3 cr) gk ,l0(o sskawlcfrequency of the wave is 120 Hz. What is the amplitude? 0 7gswlo;u:l s rk3zca,)ick(

  Figure 11-2 is a "snapshot" of a wave at a given ti etd:f90qz5i cme. The frequency of the wave is 120 :zte0f c9i 5dqHz. What is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequeb(pf, wh*t,xt0f5sj yncy of the wave is 120 Hz. Wha*htff5y 0btj,sx,pw( t is the wave speed?

  What is the frequency of a whs0bbv*c l.*jave which has a period of 6.00 ms?

  What is the period of a wave win+ qzkg53lhi gf* n1f2th a frequency of 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 H y,y6t-u9 p,lzdtuyr0 z and a wavelength of 3.0 mt ,6l,t-ryp0y 9u yuzd?

  What is the velocity of a wave that has a wavelev9tex9 r(4u e+yd y rjqirvfv51/a g84ngth of 3.0 m and a frequency of 12 H5r / evf+4vuvd1 (gj84yrteiaqr9x 9yz?

  What is the frequency of a 2.5 m wave traveling at 140; omr z*by,ria25iumm0 v8wh,0 m/s?

  A piano string of linear mass density 0.0050 5e 58k43yo(wmt2sz(7d age kru* vnjq kg/m is under a tension of 1350 N. What is the wave spm58zeuqkv 2*od(5ak(4sjey rg7ntw3eed?

  A string of linear density 6.0 g/m is under a tensiohfb 8,47bi x h4-n ovs4a;adlgn of 180 N. What is the velocity of propagation of transve-anbh 4la vgf4ib8 4;7xds,horse waves along the string?

A wave whose wavelength is 0.500 m is traveling 9cs uwv)c9ubpc 5;)2uy iubxt7ktu. 4down a 500 m long wire whose total massutx7cuut9cws4cvbipyu.u )2k ) b ;59 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 transvei.)e00:cg ocyos t23h mh .ebnrse wave on a 2.0-m long string fixed at both ends is 200 m/s. Which one of the following is not a reseoho )i 20nhcymgs.be0.:tc3 onant frequency of this string?

  If a guitar string has a fundamental frequency of 500 Hz, which one of the folluir1cru 0 2b1v (1iqmlowing frer1lri bm 2uvq1i01 c(uquencies can set the string into resonant vibration?

  A stretched string is observed to have four equal segments in a standing wave dr4fv+li *nk3hh iven at a frequency of 480 Hz. What driving frequency will set up a standing wave with five equal segments?+4hl * n3fhikv

  A string, fixed at both ends, vibrates at a frequency of 12 Hzj9a 8vt 2ygi-s with a standing transverse wave pattern containing 3 loops. What frequency is needed vsjtg i8a- y29if 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 shoulda9ncrgps6, zb3 e 8g*w its length be if its fundamental resonance bwgpne3 za6 9 8c,srg*frequency is 220 Hz?

  Find the first three harmonics of a string of lineiwn ubz ,2:s6qzd6r+b ar mass density 2.00 g/m and length 0.600 m when it is subje 2szrqbn6b,id:6u+ zwcted to tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. When the string vibrates(.7+ qr1w wzg rgurjeo(9deo- at a frequency of 85 Hz, a standing wave with five looourr17egoj e -rw9(d z+g q.(wps 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.