The time for one cycle of a periodic process is called t.ha.;fs2 xbhvhe

  For a periodic process, the number of cyw+xy. a3ain/ rcles per unit time is called the

  For vibrational motion, the maximum displacement from the equilibrium * .6au-lpc:we pu h sb(rp.u)dpoint is called thsuc6 )-u ae .bdu.wlp:rp p*(he

  A mass on a spring undergoesv:3xcp s11pd3st 2ip z SHM. When the mass is at its maximum displacement from equilibrium, its instantitxp spdpcv3132s: z1aneous velocity

  A mass on a spring undergoes SHM./gevtg l4t88u+ eqln) When the mass passes through the equilibrium position, its instantaneous velocitu4 e+gl)gtt /nev 88qly

  A mass on a spring undergoes SHM. When the mass is at mbrn 41m*r9qvc aximum displacement from equilibrium, its instantaneous accelerati49rvrm c q1b*non

  A mass is attached to a vertical spring and bobs u)-1b1c )5 jzmoipbqzesu.w h1p and down between points A and B. Where is the mass located when its kinetic energy i -m whbe u5c1. bpo)1zzi1s)qjs a minimum?

  A mass is attached to a vertical spring and bo 3v-jskt2l s2jzb0vh/bs up and down between points A and B. Where is the mass located when302hl jtjzv2-v/ ssk b its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up and down between points A a9b61*-/f kkthrph21 q vt e6d uy1agwynd B. Where is the mass 2-61dr9 a ewytk tgkyp/b1qhv6h*1uf located when its potential energy is a minimum?

  A mass is attached to a verticanhxh/9ms3ky 2wnpf.xo7 5- jz l spring and bobs up and down between points A and B. Where is the mjkwp7o5hy2 s n.3nh/-mzxx f9 ass located when its potential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-spring system prod pu 5p/w57avroa6 uuqh pmj34/uces what effect on the 64r7uh/3pp m/o jauuv5p wq5a system's mechanical energy?

  Doubling only the mass of a vibrating ma)*1iai i k)rlb 3ycqdi-dr5 8nss-and-spring system produces what effect on the system's mec3rlb cin k8yri) 5*-ddai)iq1hanical energy?

  Doubling only the spring constant of a vibrating mass-and-spring system u uq:r,wbh-s9 produces what effect on the s 9r-wbh:uus ,qystem's mechanical energy?

  A mass oscillates on the end of a spalz /6fgg7i )mf(*,/rbzgrv8g*x m k mring, both on Earth and on the Moon. Where l *fg r 6fr8g* bvmgzk ,/g(zxa7/mm)iis the period the greatest?

  Increasing the spring constant k of a mass-and-sprinma79mgm.s9 jng system causes what kind of change in the resonant frequency of the system? (Assume no change in the syste9m9 jsmag mn.7m's mass m.)

  Increasing the mass M of j-gui x7;(v,fkq/k(gpd* abe a mass-and-spring system causes what kind of change in the resonant frequency of tx,defg q7 k(* jbi-/;ga (kpuvhe system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system causes what kind of changekpy; p7 g/)y-gcocw6b in the resonyk6cgcp- b ) /py;7owgant frequency 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 attac hnmsp.h6-;z rhed to a weightless string of length L. phh6z;mr .-snFor this system, when undergoing small oscillations

  When the mass of a simploxf8- q7 hdej45bbsufun*( ,e e pendulum is tripled, the time required for one complete vixhdfb4o je,qs 58eub(un-f*7bration

  Both pendulum A and B are 3.0 m long. The period of A is T. Pendulum A is twicexw4ev 3+ esgri7sqp 6xjo:85c as heavy as pendulum B. What is the peri3oj qr6xi87+e:svs4pc ge xw5 od of B?

  When the length of a simple pendulum is tripled, thex((uec6b 0 kcf time for one complete vibration inuf(ekb(0 c 6cxcreases by a factor of

  What happens to a simpl f vdyv-9ls.)); (smag7,jhbvxmlw3o e pendulum's frequency if both its length and mass are increasedy.)9vf xh lvjs,;a-(vlg73dmm)wo sb?

  Simple pendulum A swings back and forth at twice the frequency of simplno nd-c *h6tv cyj qq.:-h0e)ve pendulum B. Whichn*jon)- teqd0 vchh - 6qy.:vc statement is correct?

  If you take a given penduljr +rnnt 8r/5vwwi 7x9um to the Moon, where the acceleration of gravity is less than on Earth, the resonant frequency of the penr5x/8 trj9+wwn rvi7n dulum will

  Curve A in Fig. 11-1 cf 0b9+.fo3 w)bt ;xwxwzsct3 represents

  Curve B in Fig. 11-1 rekm.tnj*sw xi-qr(3 : sf n/yy9presents

  Curve C in Fig. 11-1 reu7td 67rc-o-8y zvi ou4okpm /presents

  For a forced vibrati ye1ta8iib)1ton, the amplitude of vibration is found to depend on the

  In a wave, the maximum displacement of points of the*+nkfs*rm x.a wave from equilibrium is called the wsm.ak*nf*xr + ave's

  The distance between successivehhd7(ez4 yewe2vpp+6 crests on a wave is called the wave's

  The number of crests of a wave passing a point peq5;jvx4;p mhor unit time is called the wave's;qx54mo; hjvp

  For a wave, the freq1,(+nnc cv tcjuency times the wavelength is the wave's

  The frequency of a wave increases. What happenn,pwhvi c,)g( tb,uia tu(7c0u o py88s to the distance between successib ,g,(uav 80 7np hpoutc)u(w8tii,ycve crests if the speed remains constant?

  A wave moves on a string with wavelength l and frequency f. A second wave on th fvf:nm(k*-oewpa bz k6j3 o31e same string has wavelength 2l and travelsoajb -1z(e:*fnp omfw3 3v6kk with the same velocity. What is the frequency of the second wave?

  Consider a traveling wave on a strimb:8, /uj u(hr ath3ngng of length L, mass M, and tension T. A standing wave is set up. Which of the fonbtu:mr, /hgh3 (ua 8jllowing is true?

  A string of mass m and length L is under tension T. The sp*v k l6gn4+e ivj di+pk-cn;a2eed of a wave in the string is v. What will be the speed of -kvc;n264+ pdiivg klan+j e* 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 w 64 tx70 cxa znnk31vfnts2x0c6l4ljmave in the string is v. What will be the speed of a wave in the string if the length is increakllv7n1 sx njta34 n6fcx 0t2m60cxz4sed to 2L, with no change in mass?

  A string of mass m and length L is under tension T. Tr.ux(dh xbpqnx)d:h31 k.ok7 he speed of a wave in the string is v. What widn (droqu k .13 hx.p:kxhbx)7ll be the speed of a wave in the string if the tension is increased to 2T?

  In seismology, the S wave is a transverse wave. :81)h w9b03ivesa3xe o zlw ncAs an S wave travels through the Earns3)lizw0wh9c 31o : bveax8eth, the relative motion between the S wave and the particles is

  In seismology, the P wave is a longitudinal wave. As a P wavo)qm l:yn,m1 --m gtp 7aj7 /ibveq,xqe travels through the Eabqianm /mm1:- vl- oqx) etjp gy7,,7qrth, the relative motion between the P wave and the particles is

  The intensity of a wa(. uzv0 qprkwd3s8kf8ve is

  A wave pulse traveling to the right along a thin cord reaches a di 4zcwnsz4r umv5 ,le-cw9z)224aciinscontinuity where the rope becomes thicker and heavier. What c5 s4lc 2c 4nz zvri4uwamw),n9iez-2 is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal pos84n8b t/5t( 2q n prrzxnckgg4itive amplitudes pass each other on a string, one is traveling toward the right and the other toward the left. At the point that they occupy the (cx/bgt84t2nqr z rngkp 485nsame region of space at the same time

  Two wave pulses pass each other on a string. The one traveling toward the riem le, 6emk.3oght has a positive amplitude, while the one traveling toward the left has an eque,kem3 6emol.al 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 rj 8k s3z.tj:9hn7c lx/ 0vqcoa string fixed at both ends, occurs when

  If one doubles the tenix n3nis(n;j 8e jt*6vsion in a violin string, the fundamental frequency of that string will increase by a fvin;nsxte i(jn *863 jactor of

  What is the spring constant of a sprisn 0056cmwtpl ng that stretches 2.00 cm when a mass of 0.600 kg is suspe0 0 lmswn5pc6tnded from it?

  A mass is attached to a spring of spring constant 60 N/m along a horizo g;4,x uz+z21m:mr+reah /ofimwkk y :ntal, frictionless surface. The spring i+gf azihrokm,ym : ;+2z4wk mur x:/e1s 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 amplitude?

  A mass is attached to a spring of spring constant 60 N/m o1 9k ( -msp8n8gadaytalong a horizontal, frictionless surface. The spring is initially stretched by a force of 5.0 N onp(ysok d 81-na9ag 8tm 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 of spring constant 60 N/m along a horizoak+l-dx6 f/pgntal, 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 equ6 plkd+x f-ga/ilibrium position when it is oscillating. What is the frequency of oscillation?

  A mass on a spring undergoes SHM. It goes throg*d(ds68r+dw4v a 6 g/vfdnv ough 10 complete oscillations in 5.0 s. What is the pe ddfvdn/v6gg6v( 4*wa8+ro dsriod?

  A mass vibrates back and forth h gfw7aap:2w64x wk rtnry,9+from the free end of an ideal spring of spring constant 20 N/m witah ft+anwg6:w 2 w9xk,rr p47yh an amplitude of 0.30 m. What 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 ojh9+w*lwwtq wi;p+(qw x(j0 yf 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. What is the total eneri+;9twp(xj(w0y+qww jqw *hlgy of the system?

  A mass undergoes SHM with amplitude of 4 cm. The energy is3yxu 1. hrynvsga0 js*m-1w/ i 8.0 J at this time. The mass is cut in half, and the system is again set in motion with amplih0*vywx-r1s .1aum3/in sgyj tude 4.0 cm. What is the energy of the system now?

  A 0.50-kg mass is attached a7cyoaw08 ff7ywi6 x:to a spring of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in xwoc:76f w7yyaai 08f 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 spring constant 20 N/m along a hori;.-r. uw19gngq oh82zm feh dszontal, frictionless surface. The object oscillates in simple harmonic motion 8mgsh-wh. qoe92nr zgud. 1f ;and has a speed of 1.5 m/s at the 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 spso- pg1h e*gxq+s6ppvy55 vkdwq 23a:ring constant 50 N/m and set into simple harmonic motion wh: 1ag+65xq*p vpqk5yp2- esgd vso3with 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 sprin(5sl mnzf7t9 fg constant 50 N/m and set5f97t szm( fnl 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 the free end ozxsz(,9:3 mdakjwb7w d0y2lof an ideal spring of spring constant 20.zyk zm, 7 9os0lbw2d:x(awdj30 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 drgn+rd +lz;+l isplaced 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 bee+ g+;+zln lrrdn displaced only 5.0 cm and then released?

  A 4.0-kg object is attached to a spring of spqn rh0.w+ca qm/xwll5e; z +7kring constant 10 N/m. The object is lq;+rq+k0wecl. zh n /aw5m7xdisplaced 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 spring of spring constant 10 N/m. The objecpp9c:6 ngiygwh 8v s5tc:wi d57rd;;qt is disi 7pcd:t s; vin5p:;rw 6h8gyd5qwg c9placed 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 slightlvs/33q 6io)asj03l vd;lszea y from its equilibrium position, and released. What is the frequency of its vibrationss )v3 ;el slozaavdq633/0ji?

  A mass is attached to a spring. It oscillat7qnq v+x1re0q kd/ 4ezes at a frequency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What is the maximum velocity attained by t10xkqdzvq 7+e eq4/nrhe mass?

  Two masses, A and B, are attached to different springs. Mass A vibrates witmtk,5mfiozr. np u-:+ h 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.n+,mo- i.tuz5pkrf: m 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 equilibriuix7i4s1 nrgawp7o5 p)4:dx gmm the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and released475wgo)g xinximp4d7s1 : apr from rest. Calculate the period of oscillation.

  A 0.30-kg mass is suspended on a spci9d xko)mo0x k70b)y*zzhl ffnt4z - r(so7/ring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distans9z)bitxn)4oy0kzl o(c7 k7hf ro/f0m -d z*xce of 1.0 cm down and released from rest. Calculate the total energy of the system.

  A 0.30-kg mass is suspfg7.;/(sb5:qvj y adz cyh gt1ended 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. Wri.7b f; gsyz:g/t(v51dcyhjqate down its equation of motion.

  An object in simple harmonic motion obe;ex (0rsr7j s70zh 89qsnethoys the following position versus time equa j q;r7e szstn(xr7h0o9s8h 0etion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following position vers o qp/ad5kn/9ous time equatid/9o/qp ao5n kon:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following position vernhv cyxw uo8wgagy2we28i 3 0109r /xjsus time equatwinx3/8 c9v01 yx0agewhryj8 2 w 2oguion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple harmonic mo3n0b0aii. pvition according to th3iia.vib p00 ne 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 zq usdwj)*c2cd- h 1k9a force constant of 20.0 N/m oscillates on a horizontal, frictionless track. At t= 0, the mkqch1duw)2czd 9j s *-ass 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 compl+r :4f,q4nn:j 4ncx i tabt oq3cmyg1:ete swings in 8.0 s. (a) What are its frequency and period on En+bj trfnny 1 4iaqg:txo3,:cc:mq44arth?

  A 3.00-kg pendulum is 28.84 m long. What is its /e edp 6auk zkm*q:96e *9jggvperiod on Earth?

  A pendulum has a period of 2.0 s on Earth. What is its f2rx,uv p , 0le**0rlr1aastplength?

  The pendulum of a grandfather clock isv9 :tmh(f 8tjn 1.0 m long. What is its period on the Earthv( h nj8t:tf9m?

  The pendulum of a grandfather clock is 1.0 m long. What is its period on the M6/9jgf y o5vgtz j)d k2bppa4:oon where the accelerap yp j g:95vg f4b)jz62atdok/tion due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consis25re 2h,ujyx yts 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 2uyeyx,h2rj 5to the string instead?

A simple pendulum consist3h; 4ntoo itr/ing of a 20-g mass has initial angular displacement of 8.0e. It oscillates witnr th t34oo;/ih 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 timevd 3okp6tnw 42 -0uycq. The frequency of the wave is 120 Hz. What is tht6 n2qvy-3kpd 0 c4uowe amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given time. The freque m9n8k *v;ogihmx p7 et431d(s1wmiamncy of the wave is 120 Hz. What is the wavelengthimon1 4m; 9mkv1hdx37sepit(* gmw8a?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency of the wav/t1ojn b *8* wat: 9/dxgawfnwe is 120 Hz. What is the wave spnw*/ w: fjwn1/b9ao*dxtg ta 8eed?

  What is the frequency of a w j/k(a9 zaz9clave which has a period of 6.00 ms?

  What is the period of a wave wifa8w 4 w7iabd9hba73xth a frequency of 1500 Hz?

  What is the wave speed if a wave ha rdxum8+6,v7zwxc7y k s a frequency of 12 Hz and a wavelength of 3.07cz xu6d, 8rmw +y7xvk m?

  What is the velocity of a wave that hasd+jo )0pi/ao3m)jqwv hn y e:* a wavelength of 3.0 m and a frequency of 12 H3h)* pv/a0 dw:oymojj)+ qine z?

  What is the frequency of a 2.5 m wave trariuzb0h7e9 a1-w8 p lqveling at 1400 m/s?

  A piano string of linet ,etfr7a).e 8htg i:+wb1z ixar mass density 0.0050 kg/m is under a tension of 1350 N. What8ht7f, +ibexetg.1a:)wrzi t is the wave speed?

  A string of linear density 6.0 g/m is under a ten7anbme)60lll t,e1 nb sion of 180 N. What is the velocity of propagllea1nb7b e)lm t,n06 ation of transverse waves along the string?

A wave whose wavelength is 0.500 m isxakc :h210qgg traveling down a 500 m long wire whose total ma2c0 qgxagh 1k: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 translr 7 aw p1;e-3 :kmw),aahfexzverse wave on a 2.0-m long string fixed at both ends is 200 m/s. Which one of the following is not a resonant wmp;a- 1) flx7hewkarz:,ea 3frequency of this string?

  If a guitar string has a fundamental frequenf.h;;pbtory+ fe.p a, cy of 500 Hz, which one of the following frequencies can set the strip. ff ;pyo,+ebt arh.;ng into resonant vibration?

  A stretched string is i74 *vzy5 msl9-xegbpobserved to have four equal segments in a standing wave drivenp5 yg x9is*7ze4-mvbl at a frequency of 480 Hz. What driving frequency will set up a standing wave with five equal segments?

  A string, fixed at both ends, vibrates at a frm nq e 1xwv2ax8z.;xd;equency of 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency is needed if the standin2dxvqz 8aewx.; mx; 1ng wave pattern is to contain 4 loops?

  A string of linear density 1.5 g/m is under a tension of 20 N. n tq r(c15 *.emfa/ t4jvwfnn( What should its length be if its fundamental resonance frequency n tw/(t fm vqaj.4e1nfrn*( c5is 220 Hz?

  Find the first three harmonics of a string of linear mass denso60iw3 jvt,d nity 2.00 g/m and length 0.600 m when it is subjected to tensi,6todj3wn v 0ion of 50.0 N.

A string of length 2.5 m is fixed a9rfx. bw0unn( t both ends. When the string vibrates at a frequency of 85 Hz, a standing wave with five 9w bn0.(xrnufloops 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.