The time for one cycle of a periu re1)ns-l;k wodic process is called the

  For a periodic process, the number of cycles per unit time is called tb3n1v zq.zj0 ym8 g/fuhe

  For vibrational moti+.ob 7qb3dd fmt4sit0on, the maximum displacement from the equilibrium point is calq07t o.d4+dft bsbi3 mled the

  A mass on a spring undergoes SHM. When the mass is atwzg,o4bn)xv x3u1 xz 2 its maximum displacement from equilibrium, itszgu)zx2n 43xv ,oxb1w instantaneous velocity

  A mass on a spring undergoes SHM. When the mass passes through the equiq pmdx,.c9fy,1;eh l a 3uedq7librium position, its instantaneous veloc,y9 uld;p.dh1cq mq f3ex ,ae7ity

  A mass on a spring undergoes SHM. When the71gblshr2( xaqm *y;e1v ,i pt3sf7t e mass is at maximum displacement from equilibrium, its instanta 3h;vy e2s q1p7r,t(agx7es*1fimbltneous acceleration

  A mass is attached to a veraguoy h.f ym/6t u+62atical spring and bobs up and down between points A and B. Where is the mass located when its kinetic energy a/f+6t 2h.g6yyamuo uis a minimum?

  A mass is attached to a vertical spring and bobs utfxy/ k jiw7 ,mcxp)*4p and down between points A and Biwc)yjx7*/ x mf4p,kt. Where is the mass located when its kinetic energy is a maximum?

  A mass is attached to a vertical si;ilz9tt9r :q pring and bobs up and down between points A and B. Where is tlqt iiz9; 9t:rhe mass located when its potential energy is a minimum?

  A mass is attached to a vertical spring and bobs up and0o3 m5jrww xq2c h.gh4 down between points A and B. Where is the mass located when its potential ego3h xmh50 wjrw c42q.nergy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-spring system produclhmvk0kf h.ws y86w9j *y7z4 qes what es 7h 9jfqvkyyh kzml0.w46w*8ffect on the system's mechanical energy?

  Doubling only the mass of a vibwd tu/o,fk 57crating mass-and-spring system produces what effect on d5uwot/c ,k7fthe system's mechanical energy?

  Doubling only the spring constant of a vibrating movh+ jz.:5sjch8 ppfp c7:2f gass-and-spring system produces what effect on the system's mechanical energy?h7jp : zgcsv:pjpc f58.h2f +o

  A mass oscillates on the end of a sprkvxb9w 9 ix:k/6mvso +km zr8cr/+e4oing, both on Earth and on the Moon. Where is the pe/6bv k+z s/49orx 8+ke iw:9o mxvkrmcriod the greatest?

  Increasing the spring constant k of a mass-and-spring system c e1wc37n *,unhimg2w wauses what kind of change in teh,w *iwm 2n73cwng1uhe resonant frequency of the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system cause wt*hy nt/ iec-*kh90lk;u*gzs what kind of change in tk9 g; **ty/nkuc*he-0hw iltzhe resonant frequency of the system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring tpbs83lw(jd *zw4u 7:ojw8 ai;zblv -system causes what kind of change in the resonant frequency of the system? (Assume nvzbwt b4swp *:-8a( ijwzl8u7l d ;3ojo 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 mas m6b) dvhdjt(5s M attached to a weightless string of length L. For 5vd( 6tbjm)dhthis system, when undergoing small oscillations

  When the mass of a simple pendulum is tripled, the time required j .8lf agt.d-ifor one completea. 8gjlid.t f- vibration

  Both pendulum A and B are 3.0 m long. Th)n,bxjczm7xrtd k v1)0+ y(nie period of A is T. Pendulum A is twice as heaz0 +c xixnr(k b))d7n,yj1vt mvy as pendulum B. What is the period of B?

  When the length of a simple pendulum is tripled, the time for one complete v.op utppm8 (+vibration increases by a facto(p v+ ptpum.o8r of

  What happens to a simple pendulum's frequency if both itspsk-kdos 598k4c .j)bitjv:g length and mass are increa84psk -9 k oj).ds ktciv:bj5gsed?

  Simple pendulum A swings back and forth at twice the frequencyaw7hv09 d4n lcx8,e ok of simple pendulum B. ,ev 0xhd4clnkao8 79w Which statement is correct?

  If you take a given pendulum to the Moon, wn )zc+f gqbong8 5 +bp9lx0 pvpk7t(5lhere the acceleration of gravity is less than oco9lt+kn p( lg0f nb+)ppxzqg5b7 58vn Earth, the resonant frequency of the pendulum will

  Curve A in Fig. 11-1 repres8o 7cn fg,mcu(mgfe4 .ents

  Curve B in Fig. 11-1 repri r+cvxx/yz/l- hlxvy8*dl;8x-7:nd ;rtj bg esents

  Curve C in Fig. 11-1 rep- z7lvxd stj2 wg,rc(nhvcndf: hxf01b,, q :-resents

  For a forced vibration, the amplitude of vibration is f g+fnm,ruos7 :ound to depend on the

  In a wave, the maximum displacement of points of the wave from ef9hm / b(fhzr,+vx4qequilibrium is called the wah +4q/,fb9zr xmfhv( eve's

  The distance between successive crests on a q+i buf w:-c/hwave is called the wave's

  The number of crests of a wave passing a point per unit time is called the w nux0 4e3o)topkn-q q;.. uwpbave's ) w4.q;uben. n3uo-xkqtpo0p

  For a wave, the frequency times the wavelens ;ro-nnrw+u1 8p ,qt *hr-x6rpll 8rtgth is the wave's

  The frequency of a wave increases. What happens to the distance between succesk,2 mvnbogy1 k.;h1vukdu(3zsive crests if the s(2;z11n.vgkkdkvyh,u mb uo 3peed remains constant?

  A wave moves on a string wru(2 nku9y(poyh )qi9 ith wavelength l and frequency f. A second wave on the same string has wavelength 2l and travels with k(( oqur )hi2unp99yythe same velocity. What is the frequency of the second wave?

  Consider a traveling wave on a string of length L, mass M, and tension5h-w jghes c5mo+n 50o T. A standing wave is set up. Which of the followw0s o+mnchj-5h ego55ing is true?

  A string of mass m and length L is under z-srf rr1l p77-s9.5 tsufrm2c9g fhttension T. The speed of a wave in the strits2 uf9z79 fsl r h t7r1rsc-r-5pg.mfng 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 under tension T. The speed of a wave in th7rcrg kbmw2c 56k 4zo;e string is v. What will be the spec omr 7wk2;z6bck54gred 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 spmx+fg 54;mj vh,f;oquxen4i;cj 9)t feed of a wave in the string is v. What will be the speed of a wave in the string ifxiffxc om;gt;9; ufh 4 n4,5v eqjjm+) the tension is increased to 2T?

  In seismology, the S wave is a transverse wave. As an S3oouklai,)vh9*yw 3ltg1 t2)z8neu t wave travels through the Earth, the relati,nltul9o1 3w)h 3 oy v aut8egzkti2*)ve motion between the S wave and the particles is

  In seismology, the P wave is a longitudinal+p phx i,jngvo0 99h,xapf*z8 wave. As a P wave travels through the Earth, the relative motion between the P wave and the partop8vp9,nza*0i9j xphfg x,h+ icles is

  The intensity of a wave io nk.qwn/3lo:6eha0 p wz0+xos

  A wave pulse traveling to the right along a thy )dgn)ea rr;:p hb/*hin cord reaches a discontinuity where the rope becomes thicker and heavier. What is the orientation of thenbpe:dh/ a;*y) h)rgr reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each otherlukx()u4n55k7cqy s s on a string, one is traveling toward the right and the other toward the left. Al)s5u nys75qck 4 xku(t 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 tow 9jnd4syqzp .beat;k3 8y5d l4ard the right has a positive amplitudq4;39yks85j4 aeytpb nd.zdle, 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 at the same time

  Resonance in a system, such as a string fixed at both ends, o0*fr6+3(mgih tc7 lwytw l r8xccurs when

  If one doubles the tension in a violin string,vauu(9c,nfot-cl + r/ 3 zzr(c the fundamental frequency of that string will increase by/r( -fzcct 9u3nc,+ru (zl vao a factor of

  What is the spring constant of a spring that stretches 2.00 cm when a mass oil asuh) )x,v;f 0.600 kg is susp ;iv,lax))hsu ended from it?

  A mass is attached to a spring of spring codg(v1 pw1xlk4,f+t,f g mduu .nstant 60 N/m along a horizontal, frictionless surface. The spring is initially stretched by a force of 5.0 N1,ulmd k(vtgg+4p, fwx 1.fud 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 amplitude?

  A mass is attached to a spring of spring constant 60 N/c+xxo 1l gh3..o; 4ihg jtqe8tm along a horizontal, frictionless surface. The spring is initially stretched by a force of 5.0 N on the mass and let go. 4 qjhtt3.g8li;ecxg. o x ho+1 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 along a hobshuh 4cg 1(b d2il0)wrizontal, frictionless surface. The spring is initially stretched by a for2bs)uh1 h(d4 0lgw ibcce 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/m8q5 c3xw j,ixeqs-v goes through 10 complete oscillations in 5.sv8w,iqcj m/x q 3e5x-0 s. What is the period?

  A mass vibrates back and forth f2 wnudz:d02or 0l7fw trom the free end of an ideal spring of spring constant 20 N/m with an amplitude of 0.30 m. What is the kin dlnw zwf27 ru00od:2tetic 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 rnr4ix7pz. w2. z ooe)a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s at the equilibrium position.prz2wo.z)e47r .nxo i What is the total energy of the system?

  A mass undergoes SHM with amplitude of 4 mkq3 ;g wrv.uzy()(ymrr h 81tcm. The energy is 8.0 J at this time. The mass is cut in half, and ther m(qr.k;z8vwh g(1 m3ru)yty 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 horijr r ,:sy0.4clgc ysg,zontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s at the equilibrium position. What is the am0g cl,yc grss,4y r.:jplitude of vibration?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m a u s.9e0lg*2y k ;vfscyw,r3bglong 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 ener;f9b 3ey*c gsyw, 0v2sk.ruglgy the same?

  A 2.0-kg mass is attached to the end of a horizontal spring of spring cozu(c1seo a;(+lxw 4v onstant 50 N/m and set into simple harmonic motion with aw (vo4ls ozc1(e;xa+un 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 spring cir8hxd ba4vuqz6/.1 fonstant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the total mechanical energ.if 4zxhabdv r/q8 1u6y of this system?

  A mass vibrates back and forth from the free end of an ideal spring of springjc.u /+vcpd6fc n z d00:/wkvj constant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kinetic energy of dnjvck0 zdc w.6fj/+p0:vuc / this vibrating mass?

  The mass of a mass-and-spring system is displace ob)5 a:9)yil0ftjpead 10 cm from its equilibrium position and released. A frequency59)jfa eb:ipa)o0tl y 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 spriq f/op av+t*rwcl+8/i ng constant 10 N/m. The object is displaced pr+c /+qwovfl/ *i 8atby
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 spring constant 10 N/m. The object iit/tiw 3v0 qyl(jqb2-s displacei(tyjb0lwqq-3 tvi/ 2d 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 18 N/m, displaced sl0f64ptj ogqc9 ightly from its equilibrium ppf4g 69ctoq0j osition, and released. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequency of 1.2ip wy .oz(oh2geya6q-rw2b 3 uu*4f7o7 Hz when displaced a distance of 2.0 cm.obwh 7f6 g2uw*2i rz yope4o q(u3ya- from equilibrium and released. What is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to different spri7 )srde rni psen()j52ngs. Mass A vibrates with amplitude of 8.0 cm at a frequency of 10 Hz and e(2r d sn))i5s repnj7mass 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 equi/ tl y)chb*c-zlibrium 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 ofctl- b)yc*hz / oscillation.

  A 0.30-kg mass is suikufjbmd ccb:ct .)8 qhl 433-spended 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. Calculate the total energy ofhc8bbmq uc)jftk.c dl:334 -i the system.

  A 0.30-kg mass is suspended on a spring. In equilibd:tt( xtaz30mmnkrybg 20 i (8rium 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 red03kx2 iymm:t r8 b0t(tgaz(nst. Write down its equation of motion.

  An object in simple harmonic motion obeys the foll + i; sm4qs;)y*tdlhcheq4il,owing position versus time eque;qyt q*4+), lss4cil mhd;hi ation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following position fpe53fe: tpa6 versus time equatf e63afep tp:5ion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the foll73ab m ne80ydy /s7s,ebw:xq wowing position versus time equatione,webqb/yym w8x n:s77d s30 a:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to t6lte92h .v ui4x 5:df fu)khrfyg6 d0phe free end of a spring executes simple harmonic motion accordi)yi0 t256le4p:h9 x ufv.fh rdu k6dfgng 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 attachedzycao:+nrdhie7(j ,)e wg4 r , to spring with a force constant 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 4ar )crewod,h :(yn7 gi +je,zspring 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) rvwm 8vbit crw(a cf7c)zx00b c.;x2;What are its frequency and period onc8b;r2zcrx7a ;wwfv0 v(0b ctx m).ic Earth?

  A 3.00-kg pendulum is 28.84 m long. What is its pe(znzu 0e.ocw ,riod on Earth?

  A pendulum has a period of 2.0 s on Earth. 4t/ maq/d9h9k4qw ffjWhat is its length?

  The pendulum of a grandfather clocksqp(;bo3lr nwm963s b is 1.0 m long. What is its period on the Eart(ps3bn boml3;s 69r wqh?

  The pendulum of a grandfatk**rl ip-eu03ot,wn6fiu ti 6;9crr hher clock is 1.0 m long. What is its period on the Moon where thiti9;rk,uu f0r i6 twc* heplon 3-6r*e acceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attached to a m2klde6+nf rot 1 6f rwsn;76qen 2;unuassless string. When the mass is d;w6l2 ef u27;rnnr1nnst qfok6e+ 6d uisplaced 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 instead?

A simple pendulum consisting ofw f6r1yns551 ijsxbx34f6lt r a 20-g mass has initial angular displacement of 8.0e. It oscillat f3t 5y5s6j wsirr1 b4fnlx61xes 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 frequenc -x8 c4d;w9 +zogmq iqyx3e6any of the wave is 120 Hz. What is the amplitude? n4;x aigz y qm3+xq 6c9deo8w-

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequenc+hliezg; nf( ,y of the wave is 120 Hz. What is the wavelie+h;l zn ,g(fength?

  Figure 11-2 is a "snapshot" of a wave+x0a;ywnnv0 s *41 p8ebhrgke at a given time. The frequency of the wave is 120 Hz. What is nh spn*y+x arv keb0 8;wg1e40the wave speed?

  What is the frequency of a wave which has a periodda .jr ibh48 9c8z3aerwm: /hi oc;-ba of 6.00 ms?

  What is the period of a wave wi29pd8uwvc ,qg th a frequency of 1500 Hz?

  What is the wave speed if a wavewjfu9,gp0;.o/r3 qn. 3,43rfzr pfq xne cl sn has a frequency of 12 Hz and a wavelength of 3.0j,,f03s9zrw 4ln /fo3n. q; cqgeu3pxrf .rpn m?

  What is the velocity of a wave that has a wat ik jj q:me j(kt*qr r.m)pp+,*(t(khh 4w0afvelength of 3.0 m and a frequency of k+4(,r(m: ath( f t.th jwr)p**0kjkmijp qeq12 Hz?

  What is the frequency of m6dg g5q7f6-p drfs9la 2.5 m wave traveling at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is under a tenw+dfh1nqb+65k hgu xf0 n9a/tk9hp)w sion of 1350 N. Whatn 9xdfh h )/6ktubnqk9w +wfp0hga+51 is the wave speed?

  A string of linear density 6.0z497bq*hm3luvqq( t3dt+t2 ( ble mke g/m is under a tension of 180 N. What is the velocity of propagati 73( qktvb2 (4zllqthd*u9eb +emmtq3 on of transverse waves along the string?

A wave whose wavelength idw9 a nwqm-hmm,w ++xrmn-2) cs 0.500 m is traveling down a 500 m long wire whose total massmdwc+ amm-9hw qxmwr +n,)-n2 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 longstxl: +w-h)u-5-z 1 eqhr;aoawu )xob string fixed at both ends is 200 m/s. Which one--uaw 1bszt 5ue o-x)rh;walhq:+o ) x of the following is not a resonant frequency of this string?

  If a guitar string ha:w 0sxhlbf hj1 bcj* 2nr+nt)+s a fundamental frequency of 500 Hz, which one of the following frequencies ca+bxh0 thbf)swljjn*2 cnr+1 :n set the string into resonant vibration?

  A stretched string is observed to have four equal segments in a sbo0 397ly w*5yr xdyvjtanding wave driven at a frequency of 480 Hz. What driving frequency wijbyo v93wr*5 xyd70ylll set up a standing wave with five equal segments?

  A string, fixed at both ends, vibrates at a fpwfyw z 6 w(ty:d*,efxsd-93un so9g2requency of 12 Hz with a standing transverse wave pattern containing 3 loops. What3dws(f2f o ypu* s9z9dg-y tw:ex,w6n frequency is needed if the standing wave pattern is to contain 4 loops?

  A string of linear den)/hmgt-wtv,iii)m .j sity 1.5 g/m is under a tension of 20 N. What should its length be if its fundameg,mtjti v)- m.wi) ih/ntal resonance frequency is 220 Hz?

  Find the first three harmonic21hrya .:xm- -h)yz4a8qgkujm/ rhct s of a string of linear mass density 2.00 g/m and ler mg zqa)y-2rhy8taj-ukhm c1x /:. 4hngth 0.600 m when it is subjected to tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. When the st1esqy ln4(+5xd 8c g fipx23czring vibrates at a frequency of 85 Hz, a standing wave y g3i8nz 45e(cdx qs2+xfc1lp 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.