The time for one cycle of a periodic procyt; c 12(;yf:n1vrfx(r(udp f- t yyruess is called the

  For a periodic process, the number of cn*ytv*z - ur2 *lxk o9,5zjwjrycles per unit time is called the

  For vibrational motion, tqa d4jz53 ak)bm1i h5ahe maximum displacement from the equilibrium point is ca41kdqz)aa55jb3ihm alled the

  A mass on a spring undergoes SHM. When the mass is at its maximum displacemev05g m 9s.5e;ttyvmmint from equilibrium, its insm9 .i0m ttm5y5gvv;estantaneous velocity

  A mass on a spring underkv m+ yrkmb 1px0/w9k 21frll/xjz0p;goes SHM. When the mass passes through the equilibrium po 1j1kfw0pzk/ mvr+ 0mxly;k2b rl/x9psition, its instantaneous velocity

  A mass on a spring undjhacb( 59my:m-ft *f7e ya4my ergoes SHM. When the mass is at maximum displacement from equilibrium, its instantaneous acceleration: yhc7am 4b5ymyt9m ffa j*(e-

  A mass is attached to a vertical spring a mrp68at;w- x1imu ai)nd bobs up and down between points A and B. Where is the mass located when its kinetic energy is 8m;mu air - a)p16wixta minimum?

  A mass is attached to a vertical :)g7gbsr k ,4jyz* fuq6 div,s6skn;f spring and bobs up and down between points A and B. Where is tkg,kf fs us:4r i67) 6;yvzjgqsb*,dnhe mass located when its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up and down between points Aa2247( wi vyddqd dhc, and B. Where is the mass located when itydvh2w4a cd(i 7,q2dds potential energy is a minimum?

  A mass is attached to a vertical spring and bobs ze0sf5s+ 7g f2eg3be4*bn:upt +u crb up and down between points A and B. Where is the mass located when its poten fb5ubpns47bt 0c 2*egez+rus:3fe + gtial energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-spring syste36zu ia: 5hu1fn v/ jtl0uodm;m produces what effect on the system's mechanical eneujnvlaf : t630u15odz /h;mui rgy?

  Doubling only the mass of a vibrating mass-and-spring system produceswby8/fm -wl8qs;q zv1 what effect on the system's mechanical energy/qw1m wby -;z88q lvsf?

  Doubling only the spring constant of a vib- lkcuo x,c4m5 hc9sj;rating mass-and-spring system produces what effect on the system's mechanicalc4l9jm c5-;o cs,xhu k energy?

  A mass oscillates on the end e5 0d4acs*svuof a spring, both on Earth and on the Moon. Where is the period the greatess5eus0 cad 4v*t?

  Increasing the spring constant k of a mass-and-spring system c,, p) hew/.qhexw h3jvauses what kind of change in theq h).ev,wp/w3hex j, h resonant frequency of the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system causes what kinh()yrcf8fi),fwk t:* 4wlbcf d of change in the resonant frequency ofckf* h:()by tfw8ri)lfcw 4 ,f the system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system causes whar3du*bt :.u1gn jj8 xrt kind of change in the reson3ru:*j 8db gnurx1.jt ant 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 attached to) ydmny7k7 d:k a weightless string of length L. Fo ny:yk7 kd)7mdr this system, when undergoing small oscillations

  When the mass of a simple pendulum is tripled, the time requiredohdqc8 t/d/7:-wlkjq for one complete vibrati/l:wt-c qq8o/k 7hddjon

  Both pendulum A and B are 3.0 m long. The period of A is T. Pendulum A is rzbn:z5 a97 zir5ken gb8i*i6 twice as heavy as pendulum B. What is i5g5n:k nra 9bi* 8b7zi6zezrthe period of B?

  When the length of a simple pendulum is tripled, the timvn-40 8ge8yy5ux4 2smjtqv ns e for one complete vibration inc qmss- e8tx0jv gn4unv582yy 4reases by a factor of

  What happens to a simple pendulum's frequency ifp; f;p f/fs,nm both its length and mass are incrempp;;f fnsf,/ased?

  Simple pendulum A swings back and forth at twice the frequency of wugu,x-)w h:3wro jo4)ynn6z simple pendulum B. Which statement is corrr6zho4y w)nouw)xg,ju:n - 3wect?

  If you take a given pendulum t64q9o zwi6 qgae1l v.no the Moon, where the acceleration of gravity is less than on Earth, the66 w1i ag.qoleqv49nz resonant frequency of the pendulum will

  Curve A in Fig. 11-1 represe rc,cao)d*obn-*2 x monts

  Curve B in Fig. 11-1 reprpnl2tl9-ji kq,xo+1 nu 8n;p sesents

  Curve C in Fig. 11-1 repreaxx/76r eyhv1 sents

  For a forced vibration, the amplitude of vibration is found to depen d,e;j;zge1hr d on the

  In a wave, the maximum displacement of points of q oxmit6.6b;bthe wave from equilibrium is ca6m obibx t;6.qlled the wave's

  The distance between successive crest2 w o *,x7hht,p ik:7mgss;ekl/ud1nls on a wave is called the wave's

  The number of crests of a wave passing a point per unit timi.h6lcno vt w + gxe)7s*)z9bnk5 tn,ve is called the wave' 6lvz,ho )i 95)cxgt e vtbksn7nn+*.ws

  For a wave, the frequency times the waveleng0;8r mwhc9rastzpv 6(zeg /o,:dnu(t th is the wave's

  The frequency of a wv-m i7b0kfbt, ave increases. What happens to the distance between successive crests if the speet,-0i fvmbb7kd remains constant?

  A wave moves on a string with wavelength l and frequency f k plwoz4)d ,f*)zax.rm7-ta s. A second wave on the same string has wavelength 2l and travels with the same vel-z4xzos *.a)d l),a kmwf7tp rocity. What is the frequency of the second wave?

  Consider a traveling wave on a string of lengq1 0 4j7ww.;tefh8hhqm rqcadrt-n 5-th L, mass M, and tension T. A standing ;1qt8 a47twmqrrj0qnh.-ecd hw hf-5 wave is set up. Which of the following is true?

  A string of mass m and length L is under tension T. The ek4-cc3g o/k yj1 9jzeurt8q,u0rnb 8speed of a wave 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, with no chanc/ - 4yeokgbq,1zk8u r8ncu9 t 0r3ejjge in length?

  A string of mass m and length L is under tension T. Theqs t ulyst.)561.:dk(e3ynyck a7kl w speed of a wave in the string is v. What wdtc 1 skyl7.u()qa .ek ywl6:5n3ks ytill be the speed 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 speed of a wave infh+1b/gayma olc4,):kj o4y;-gnjv 3 g +zurs the string is v. What will be the spee+ozb3su ocafgr,:y/m+jjynk v - 4g1a 4g;lh )d of a wave in the string if the tension is increased to 2T?

  In seismology, the S wave is a trans; :b1fvrn.+7cuy gh cmverse wave. As an S wave travels through the Earth, the relative motion between the S wave and t :.+mr c;7yhgvu1f cnbhe particles is

  In seismology, the P wave is a longitudinal wave. As a P wave travelsow( :cx(qfx9.mv r)rynz gzi 98on) 7a through the Earth, the relativ .79:r))oxo(n( zgqc9x 8rfnizva ywme motion between the P wave and the particles is

  The intensity of a wave kfq;y lsz7i15fog0*r is

  A wave pulse traveling to the right along a thin cord reaches a discontiyig6a)l: c71adtnzm 9nuity where the rope becomes thicker and heavier. What is the orientatio:c g 7tzaymi91da n6l)n of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplqxw 9n92 la-buitudes 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 same regiabnq w- 99xu2lon of space at the same time

  Two wave pulses pass each other on a strimfm gyhh th 6.k.d0 nu5:9dps-ng. The one traveling toward the right has a positive amplitude, while the one travelin6 9h.kg5dmund.s fm hyt0-: hpg 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 whennjab jmk3) vopx9 wt9+w13c7i

  If one doubles the tension i o(mz4f8;k20 wmjwjl89; w a3bfvwv dsn a violin string, the fundamental frequency of that string will increase by a fsw2(ja wvd0jo; fl bm3 zwwk8; 9fm84vactor of

  What is the spring constant of a spring that stretches 2.00 cm whdr5i h2n0v r(5cdvj/j8 iguz ;en a mass of 0.600 k/g h;8nci0ru2 rjvj ( vz5id5dg is suspended from it?

  A mass is attached to a spring of spring constant 60 N/m along a horizu-fzwahc0zq-p q 8n:8 ontal, 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 q q:a8zpz8h-cwnf 0u-its equilibrium position when it is oscillating. What is the amplitude?

  A mass is attached to a spring of spring constant:3h j s1 y+tsaf dyxq,hei4nh)d/3x3t 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 position when it is oscillating. What is the period of oscillation?x q3jhfhdd341t/e+y sit)n3sy ,ha :x

  A mass is attached to a spring of spring constant 60 N/m k5jp 87phno2 76gbu sxalong a horizontal, frictionless surface. The spring is initially stretched by a force of 5.0 N on the mass and let go. Itn6spb h72k87j5p xuo g 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 goes through 10 c 388x(ukz6miszwlxf 5 omplete oscillations in 5.0 s. What is the period?ki8 8u5fzs 6m(3z lxxw

  A mass vibrates back and forth from the freej 2qt(ko0bw,dz)e x )u end of an ideal spring of spring constant 20 N/m with an amplitude of 0.30 m. What is the kinetic en,(jeqx2 0wob ktduz ))ergy 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 qcj*pu/ wrvvmu;b*2 5along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s at the equilbc 2v;pv*u 5mwjqu*r/ibrium position. What is the total energy of the system?

  A mass undergoes SHM with amplitude of 4 cm. T59kbq9hl8 qco (ez lqu2q3ne 8he 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 qb39588ncqzqq9o luh2e elk( . What is the energy of the system now?

  A 0.50-kg mass is attached to a spring of spring constant 20 dath-xk h23 ;a)h2pug 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. Whhg;d2)ah 2pua3hxt-k at is the amplitude of vibration?

  A 0.50-kg mass is attached to a spring of spring constant 2wvoufnd (o-z2g q87)p 0 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion 7oqp)d(gw28z ou fvn- 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 jk*;8 guvtfs6/b)zqm the end of a horizontal spring of spring constant 50 N/m and set into simple harmonic motion with an aj ks) m bq6;/*utf8vgzmplitude 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 sprk- 3iv3a4qbpring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is i 33bqvak4 -prthe total mechanical energy of this system?

  A mass vibrates back and forth from 1bf.(+tgdw3wc7 in*)kz tl . pfdfl+bthe free end of an ideal spring of spring constant 20.0 N/m with an amplitude of 0.250 m. What is the max7 npwltbf df1c+3gw tz.l)f.ki* b+(d imum kinetic energy of this vibrating mass?

  The mass of a mass-and-sp,* uxi 3juv .:c:f4amn bd+hdnring system is displaced 10 cm from its equilibrium position and released. A frequency of 4.0 Hu3:xndiacun f:m4. *hjvd +b, z 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 spring constant 10 N/m u5qea;p9awpt v,:h f0. The object is dt e;uqvfw h,aa59p0p :isplaced 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 sprzyb/ p6h93s+hp au.txing constant 10 N/m. The object is disp3zy9p6b x/ atu.hhs+ placed 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, displace *4 6onbz:f)ie4i kynnd slightly from its equilibrium position, and released. Whato n4kni6 *e z):4nibfy is the frequency of its vibration?

  A mass is attached to a/h.n.6,9 p* bwm9 zud ooxeuqu spring. It oscillates at a frequency of 1.27 Hz when displaced a distancud.hopqx */ ue69ob.u nzwm ,9e of 2.0 cm from equilibrium and released. What is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to different springs. zi(b31 jm(ij ff pa/v; Mass A vibrates with amplitude of 8.0 cm at a frequency of 10 Hz and mass B vibrates with amplitude ofbj; vi3a/(fm( fpjz1i 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 sus2bi aw+ u1*1o4ohi0blln 8motpended 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 aobon aio0 *l1umb8w+i2l1 ht 4nd released from rest. Calculate the period of oscillation.

  A 0.30-kg mass is suspended on a spring. In equilibrium the j/r8qywjpi1nr 443 x l0bwmt/a-3e ltmass stretches the spring 2.0 cm downward. The mass is th3xw3l b8q1emi/ jyw 4 0art-rptnlj /4en 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 tho;*jdwq d0 -tce mass stretches the spring 2.0 cm downward. The mass is then pulled an qojwd* c0;td -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 time equ9h +5decr ;kpit1; ,xc0rnxb xation:r,dxep0+h5k;irxx cn;b9c 1 t
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following pxat 78mtbzg 0rih o (,e.hwh.fd*uu1:osition versus time equatiohm(ur 8g 7tuz.,. ote0ah fh:xd b*1win:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following positimi4ny,a 92v 8m: /1gjosb) zclwtb3jnon versus time equatio4l1am38 bm,s)wnijgcot:b vzy29 /n jn:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spripfh3 yn6( 5tv)ks(xn vgyo )r8ng executes simple harmonic motion according t pngxt h3(o5ynkfvr 8(6) v)yso 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 aw3dnbk 17k9+ e 1g2wvqdv lno/ force constant of 20.0 N/m oscillates on a horizontal, frictionless track. At t= 0, the masd1 nlq2+n3dg79k kb o1evwwv /s 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 com.bnb6ntavo; .nj1jb )plete swings in 8.0 s. (a) What are its frequency and perinvn .. b;no 6bja)b1tjod on Earth?

  A 3.00-kg pendulum is 28.84 m long. What/ e+tt/n5ku, :vzcud/ y la+nx2e4 i*;qnqvgf is its period on Earth?

  A pendulum has a period of 2.0 s on Earom:p yhocf,pl (8o; ,iq sx*s-th. What is its length?

  The pendulum of a grandfather clock is 1.0 m long. What is its period-r/rw/ nzr 5(yq/ wpjk on the Earth ( //qrnj/ w-rk5rwzyp?

  The pendulum of a grandfather clock is 1.0 m long. What 2qgh: mor +i-p(uzl6sis its period on the Moon where opr( 6iq z+h-:2lsgum the acceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consisf2bo:0gp7 u/uqwp y+ ndi ,+vdts of a 0.25-kg spherical mass attached to a massless string. When the mass i0 iqup7bdf ywn:2+o+g /dup,vs 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 instead?

A simple pendulum consisting of a 20-g mass has imigty: 2x ,u gq3jgm0:mk 3hqiu/zk) ,nitial angular displacement of 8.0e. It oscillates with a period of 3.0 i u0k:3: gtiuyhj)m/z,xqmqgm 2k, 3g0 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 frequency of the nu-dnb8 k (cu,n ovx*2 ebid:1wave is 120 Hz. Whatcxuub,8n k:en *-(n db2oi1d v is the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given time. The fre:j:9k. v6i:q q0mydw wrd6ko pquency of the wave is 120 Hz. What is the wavele6qwy i.kdd6o9 pwqrkv:mj0:: ngth?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency of9md*ho2py;3 zjn p5zq0 r l(dl the wave is 120 Hz. What is the wav;rlp nl3 d(yz90p dom*2q5jhz e speed?

  What is the frequency of a wave which has a period of 6.00 m*obpx/r *bm;xhugj /5s?

  What is the period of a wave with a frequency of 1500 Hz?u-u cikia z :,m)e, iz8.dz-sp

  What is the wave speed if a wave has a frequency of 12 Hz and a wavelra) eq:sc12p tpk*/uzength of 3.0)/pckra:p2ez q *ts1u m?

  What is the velocity of a wave that has a wavelength of 3.0 m and at7 ryy np6;mxoq * d-+fmg)bn2 frequency of 12 2- ytn)f mxboyp+;*g mqr76 dnHz?

  What is the frequency of a 2.5 m wave traveling at 1400 mpjwse38j/vyq 8 w )7pg/s?

  A piano string of linear mass density 0.0050 kg/m is under a tension of 1350 N.*oam9 rf5f h,(no/v (/0vyq tks *vvpo What is the wave speq5v* hoko n,sr aov (vf0f/pm9(vy/*t ed?

  A string of linear defkegng +0fy;xu7* 1 vlnsity 6.0 g/m is under a tension of 180 N. What is the velocity of propagation of transve1k;gx +u0ng *vye 7fflrse waves along the string?

A wave whose wavelength is 0.500 m is traveling down a 500 m long w.h;4ue) sl xygire whose totals)xg.;ye uhl4 mass 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 string fixed aogasz9 w-idij bv l1061k;x whxrd hp1k+/b,,t both ends is 200 m/s. Which one of the following is not a resbbi+d9o h s ,p1 hlax;w,-jw6 zrk0k v/gix11donant frequency of this string?

  If a guitar string has a fu bg+yb.cxn* i5ndamental frequency of 500 Hz, which one of the following frequencies can set the string into resonant vibci5+ b.xy *gnbration?

  A stretched string is observed to have four e7i) q9xczsx0xpab+0 n+t vge)qual segments in a standing wave driven at a frequency of 480 Hz. What driving frequency will set up a standing wave with fiveei+ +qc)x0asxn) bvgxt07zp 9 equal segments?

  A string, fixed at both ends, vibrates a ee.1x+bd;ole by02s dt a frequency of 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency is needed if the standing wave pat.blds2 ;ybexd 0ee1o+ tern is to contain 4 loops?

  A string of linear density 1i ;g*. ::*hn/cpp rtjhk:se ke.5 g/m is under a tension of 20 N. What should its length be if its fundamental resonance frequency is 220 Hzti;h*/pe gn:ckre p: j:sh.*k?

  Find the first three harmonics of a string of linear mass densityj( c-vxw8oj,. wcql/ p 2.00 g/m and length 0 c,-pjwc j./(lv8oqwx .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 string vibrates at a f us..v e+y72aoeb(p rxrequency of 85 Hz, a stand.o.sur( 7 +e 2eyabpvxing 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.