The time for one cycle of a periodic+j(8ck3mu3 f gfcwm9zh9p1 q j process is called the

  For a periodic process, the number of cycle4(:zu9vn aa)ra t:uel7cly --jw m p,ls per unit time is called the

  For vibrational motion, the maximum displacement from the equiliga * 6kxcd-b t-dv:hp3brium point is called 3cgd: khva *p-b6dxt- the

  A mass on a spring undergoes SHM. Wc3f.xt) :x cpnk(gb)0m4l nmc hen the mass is at its maximum displacement from equp03)n(lc)gx tc4 ckfm. xnm:b ilibrium, its instantaneous velocity

  A mass on a spring undergoes SHM. When thi:txlr/j6sw.m1 . dske mass passes through the equilibrium position, it1tr./ dxji 6:sls.w kms instantaneous velocity

  A mass on a spring undergoes SHM. When the mass is at maximum displaceme ayxw6k3yl6 mzxu4 *)bnt from equyx4l* uka 6x3mwz6b )yilibrium, its instantaneous acceleration

  A mass is attached to a vertical spring and bobsc hau y c3yns)2e-kg 4p,auo96 up and down between points A and B. Where is the mass located when its kinetic energy is a minimum?2k,c)ch e g u9a yupa6n-3ys4o

  A mass is attached to a zf qys7v2cv+0 vertical spring and bobs up and down between points A andvz0cfq27 s+yv B. Where is the mass located when its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up and down betweh s-yub5 yxspj(i(26d1q vb,nen points A and B. Where is the mass located when its potential energy qn,y i u65((ps1 s2y dbhbxv-jis a minimum?

  A mass is attached to a vertical spring and bobs up and down bet z:brwose.1 wo( dj+a*ween points A and B. Where is the mass located when its potential energy is a maximuw+:d.abrw (ojez* os1m?

  Doubling only the amplitude of a vibrating mass-and-springoo jduotm64e/ o+l5n+ system produces what effect on the syo/o4e ndo6t 5 +lmjuo+stem's mechanical energy?

  Doubling only the mass of a vibrating mass-and-spring.yvi2 p)hyut* st 4rw8 system produces what effec*s tyy)p rt4vuwi2h.8t on the system's mechanical energy?

  Doubling only the spring constant of a vibrating mass7 fubv5 0tkbn7mg.7wv-and-spring system produces what effect on the7kbu.f7w7mv n 5tv b0g system's mechanical energy?

  A mass oscillates on the i*h(lwtt-azb9*wd s5(x/h sufp+gs. end of a spring, both on Earth and on the Moon. Where is the period t/l(a tphwiu*z5f *-(x hss9gw db.+ tshe greatest?

  Increasing the spring constant k of a m3 q(k 5c1+yyy4gfoctx ass-and-spring system causes what kind of change in the resonant frequency o3cco t 4f1(5gxky q+yyf the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-ane32bmjs qr3:h aheq3 i)dk:(nd-spring system causes what kind of change in the resonant frequency ofje q ikq3dna3h:sh :b(m3r2)e the system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring sys c25v+,d:va9c4+glmvct zmwptem causes what kind of change in the resonant frequency of the system? (Assume no other chang 5cdm 42,vp:9m+cgatcvwzlv+es 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 4p0jtypg. 9:* rzszermass M attached to a weightless string of length L. For this system 0pz.j4r g*9e rpst:yz, when undergoing small oscillations

  When the mass of a simple pendulum is tripled, the time required for ovxfj+xwdi0 k 04r8u8okrt1 h5ne complete vibrat45kx10r0t8 kx+rfwoi uv8jhd ion

  Both pendulum A and B are 3.0 m long. The period of A is Tcl(1tbn fr 6h)wl8q y( *1sxna. Pendulum A is twice as heavy as pendulum B. What l1(xcnt l68(ysr bq a1*fwnh)is the period of B?

  When the length of a simple pendulum is tripled, the time for one complete 0/iwx7qdegfsz q9c k9. yti-(vibration increases byy7/ 09g.9q-i xcw zqefitds (k a factor of

  What happens to a simple pendulum'ziqx2i, +ndse:s5 vj44 0yv:i1 ndeips frequency if both its length and mass are increasji iqdznv5p ivi d2: eseyx:4s 04n,+1ed?

  Simple pendulum A swings back and forth at twice the frequency of simple peacp) h( hvykd *0 1jo:wo)c5esndulum B. Which s se)1* 5jo)p 0 vocwa(dhyk:hctatement is correct?

  If you take a given pendulum to the Moon, where the acceleratiycyd(ui f,zeyx oa0hr.l44+ a*.exp+on of gravity is less than on Earth, the resonant frequency of the pendulc zeo ayr+*4ixyy p,.(0.due4 f+lxahum will

  Curve A in Fig. 11-1 chpx7p5e0 9j tz7ak8 hrepresents

  Curve B in Fig. 11-1 represen1)2 i0bb(f mkv2eig evevi ;;nts

  Curve C in Fig. 11-1 reprn/g; b th6gk-mesents

  For a forced vibration, the amplitude of vibration is,uwbn z ;buz qu:.pgod-8j5bni9 *ao 0 found to depend on the

  In a wave, the maximum displacement of points hgu/f112aejgia0 qcj2-wf 0/yyk ly8 cqbz/+of the wave from equilibrium is called the 0kcfa uyj8bc/ j1fqi0/ 2 g -wya/gh2yz1lq+ewave's

  The distance between successive crests on a wave is called the wave's4myz4y h 6;qii

  The number of crests of a wave passing a point per unit time is called th7)t 39dz-dcyjc7 kzev e wave'sv)7dc7kejy9zd3 ct- z

  For a wave, the frequency times th( a+q),z-hraphv z7u be wavelength is the wave's

  The frequency of a wave increases. What happens to the distance between succe0zvy iut.g3rvfy ae7o.qx :8 h/ipimh u ;3*j9ssive crests if the sh*gv93t..3:fmuijq /yoir8 pe7avhz0; yi uxpeed remains constant?

  A wave moves on a string w 89p *yl 2msk rpfvq-ax+0 4kyl-idf.rith wavelength l and frequency f. A second wave on the same string has wavelength 2l and travels with the same velocity. What is the frequency p l r d0f4yk+sxy2q r-.9ik pfvam*8-lof the second wave?

  Consider a traveling wave on a s s.gxzc h9.ow(gi3ez0tring of length L, mass M, and tension T. A standing wave is set up. 9xe3z gswzoci.h.g 0( Which of the following is true?

  A string of mass m and length L is under tension T. The speed psbj 31 s0okmea;.3 wgof 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 chanm.ag0web;pj13 3sos kge in length?

  A string of mass m and lengas2sawmc +)p)th L is under tension T. The speed of a wave in the string is v. What will be the speed of a wave in the strwsa2+ sm )pa)cing 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 of4fdfcy 3b)r*uf ef f+swu4 1a1 a wave in the string is v. What will be the spefd)us a+fy cfu r443fwbef1*1ed of a wave in the string if the tension is increased to 2T?

  In seismology, the S wave is a transverse wave. diko.,vcx )8 *pm 4n/xrv 3n.dlym4aqAs an S wave travels through the Earth, the relative motion betweexkony pr*v4lvi.,)8.4 mmnqa x /d3dc n the S wave and the particles is

  In seismology, the P wave is a longitudinal wave. As a P wave travels through th en0saxm q40ko8 +7hdd 0*mxcje Earth,4h08qxd7mms onde 0* 0ckx+j a the relative motion between the P wave and the particles is

  The intensity of a wave ig fwtysq kbch79vmpw6q- um 0:r6(;5ds

  A wave pulse traveling to the right along a thin co io.;jzixzb ,-rd reaches a discontinuity where the rope becomes thicker anbx- ,iij z.;ozd heavier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each othed pf()w l0xe0 vr5 vi)*rrun9+fnanh0r on a string, one is trdr 5w +a0i))vrn9lfhrfx*00u (epn vnaveling toward 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 toward the ,065syiui2, ibx4oot/f dyt3*ftd pg:m mii* right has a positive amplitude, while the one traveling towa0 udim2ty:o x*f i53d6y,f iptbs ,gii/t4*mord 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 bot8g1oafsk(y3k 7l; h;iobomx42 x,kr uh ends, occurs when

  If one doubles the tension in a violin strio*br*0jvqf x6v+w 7bxng, the fundamental frequency of that string will increase byx7*+x6 vqo0jbv wfr*b a factor of

  What is the spring consbqj; :hjvt z35tant of a spring that stretches 2.00 cm when a mass of 0.600 kg is suspended fhjqbvt:z3j;5 rom it?

  A mass is attached to a s(tt6rn gq0efwisv14zh wq.9 *pring 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 takwn rf0g4i9e t6wvq z1 tqh*(s.es 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 along a horko 7dries2d2 7izontal, frictionless surface. The spring is initially2d r2d7o e7ksi 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?

  A mass is attached to a spring of spring copy9p7uoi 8a-doi y, u)2lx nk/nstant 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 oo9,oku- l y7xpp8n/y iu2ia d)scillating. What is the frequency of oscillation?

  A mass on a spring undergoes SHM. It goes through 10 complete m ben a;0d 9vuqy j,o8kvs56f8oscillations in 5.0de yb v8s q59;aukjov,6f8mn0 s. What is the period?

  A mass vibrates back and foi9gn8 bi1 rj7rrth from the free end of an ideal spring of spring constant 20 N/m with an amplitude of 0.30 m. What is the kinetic energy of this vibrating mass when it is 0.30 m from i7r18 rg9in bjits equilibrium position?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m alopv(vvgse2a w0: hx3i-ng a horizontal, frictionless surface. The object oscillates in simple harmonic motion and ha 3(s2v ewixvg-p vha:0s a speed of 1.5 m/s at the equilibrium position. What is the total energy of the system?

  A mass undergoes SHM with amplitude of 4 cm. The energy is 8.0 J at this twdaiht9;w1or )5ta l2+sa: y zime. The mass is cut in half, and the sy9;y2r:5ao+ atta dwsl1 )iwhz stem 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 springnhj;h guyjeaot ,r8+7 .v h8e8 constant 20 N/m along a horizontal, frictionless surface. The object oscillates i+ y,gh88o vhjeh e.;a78 nurjtn 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/m4,ys-taq m ko4 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 locatky-a smq4o4 ,tion are the kinetic energy and the potential energy the same?

  A 2.0-kg mass is attached to the end of a horizoibr.v7r(d ju ja* v*)vntal spring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the total mechanical energy of)i( rj7.ad vru*b vjv* this system?

  A 2.0-kg mass is attached to the end of a horizontal gn5gf0qi ;i5c,jzo( 8khlcfbb )x9;i spring of spring constant 50 N/m and set intil ;c5)0obfigqfn(5zc;gxibk9 h 8 j,o 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 of an ideal sp8 * m yxonwt-.;fqmd m32tleh/ring of spring constant 20.0 N/m with an amplitude of 0.250 n d-32xq*mt;oymtm/ 8 .hlfe wm. What is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring systemse ..v(6zne ecsb9n; r is displaced 10 cm from its equilibrium position and released. A frequency of 4.0 Hz is observed. What frequency would be observed c (s.een9s;e n .6rzvbif 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. The object95j.i+jj(xb f7vt zpq; jym0g g-z4ha is displa7iqjz mjh yj+;vgj 5f-4zp0bx g.t (a9ced 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 sp 17xx01w x*wz kohv8hzring of spring constant 10 N/m. The object isz h xk0 7wwv1zx1x*8ho 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 spring constant 18 N/m, disx *+4(rqxu ldiplaced slightly from its equilibrium position, and released. What is the frequency u d i*x4xl(qr+of its vibration?

  A mass is attached to a spring. It oscillates at a frequency of 1.px;;8 3ycfabds 7n9qd tsvc(327 Hz when displaced a distance of 2.0 cm from equilibrium and released. What is the maximum velocity att;c d3;(b78qacs fy 9nvpxtsd3ained by the mass?

  Two masses, A and B, are attached to different springs. Mass A v6z*enu7)k y-/k eerdh ibrates with 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. ze) -/unh7d6 kryeek* How does the maximum speed of A compare to the maximum speed of B?

  A 0.30-kg mass is suspended on a spr. sv ja.4,xfhyed8yp9ing. 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. Calculatshp ey8y.j .fxda,9 4ve the period of oscillation.

  A 0.30-kg mass is suspended on a sbsm.pd)5gu t1pring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulledtbps ug1.dm )5 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 sudda5s4rm w ,w8spended on a spring. In equilibrium the mass stretches the spring 2.0 cm downwarw84m,wds 5adr d. 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 harmoni)e(4pu)uey )n ts 4wf4:hdklqc motion obeys the following position versus time equation::lf) pwtk h4))eun (uy 4qdes4
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmoex5ng y 3y-a6anic motion obeys the following position versus time equay 6eg ya-5x3nation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following position versus time4 a3ht4paxd v tz; zc2,krji); equat;;2rh d ktv )t3j4a,izxc pz4aion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end os jm4e2j* ci;v:0 bdfhf a spring executes simple harmonic motion accordd2 4 *sb;civ hf0:emjjing 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 attached to sprv,* 2px57 rid aj2/izh*jjzmrs4vy +ring with a force constant of 20.0 N/m oscillates on a horizontal, frictionless 5srvav4i 7,*/+pjrm xy2ij hjzd 2*rztrack. At 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 swings in 8.0 s. (a) What are its rf r,n4bx:8 0cs*b est+r8lj nfrequency and peri 0+nesxl8rft,r :c4rbj bs*n8od on Earth?

  A 3.00-kg pendulum is 28.84 m long. What is its peri:;7 ze a* yljq3tf6v5io.e3w 0p kkjaiod on Earth?

  A pendulum has a period uaxem/yf:;z - of 2.0 s on Earth. What is its length?

  The pendulum of a grandfatc,qw sw ,eg+5mher clock is 1.0 m long. What is its period on the Earth?w m+,wec,qsg 5

  The pendulum of a grandfather clock is 1.0 m long. What is its period on the Mq fq*eg)7gv /e1iyi2v oon where the acceleration due to gravity isgqif*2/ qe1ev7 gy iv) only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attached to a massless s. :wb5dq(z7mrs jq,f vtring. ,75 bd.mqfqj: r(swzvWhen 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 to the string instead?

A simple pendulum consisting of a 20-g mass has initial angular displacement ofbkov*.+ x; 8gqj szmp6 8.0e. It oscillates wzvmb.+8;jsqog 6p x k*ith 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 9o-g4(n95pst zdyhcs frequency of the wave is 120 Hz. What is the amplit9(t5g y9pn-dhc zsso4ude?

  Figure 11-2 is a "snapshot" of a wave at a given:kf +) l/bncr5)weabt time. The frequency of the wave is 120 Hz. What is the wave rfw)tc)knbeba 5l+/ :length?

  Figure 11-2 is a "snapshot" of + oqyos,*i7il0nkr;uyd 5m3h7ly xl )a wave at a given time. The frequency of the wave is 120 H7l d37ikmu+o,syo n*xlq l)i y5hry;0z. What is the wave speed?

  What is the frequency of a wave whmli2 a 9m3k(sjich has a period of 6.00 ms?

  What is the period of a wave with a frequency of 150c nne0yl6qoru::o / x80 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz and a wavelength ofxz rc2 w((em)z.jvvp7 3.cvj7p.(2)x( wrv zzme0 m?

  What is the velocity of a wak3rr 8lyh;)5c nh8b vyve that has a wavelength of 3.0 m and a frequency of 12 Hz?r3y h8ckbv ;5r y)8lhn

  What is the frequency of a 2.5 65i-p3uci /pgfpltf bh.) p3am wave traveling at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m - 75xfd, ak vvee7)gwbj ;u) (k/hghohis under a tension of 1350 N. What is the wave spee eed v(vhhk5)hx)jgf7,wku/b;7ga o- d?

  A string of linear density 6.0 g/m is under a tension of 180 N. What ywv6w4uw;,d8 adb;fw6coz4ey :q8tb is the velocity of propagation of tra;abc6dd8wywzw48b,4 voq wtuf :y6; ensverse waves along the string?

A wave whose wavelength is 0.5uw;zdctse) 2* 00 m is traveling down a 500 m long wire whose total ce*;s 2)uzd wtmass 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 transver3; ;xrt ;idw k-1eie+y8epdg wse wave on a 2.0-m long string fixed at both ends is 200 m/s. ig8eexe1p;; dk- d+3 wiy;twrWhich one of the following is not a resonant frequency of this string?

  If a guitar string has a fundamental frequency of 500 Hz, which one of thegl+ qo u 1hy5ei:m.fu) folloq5)1ieyl.ufh :gum + owing frequencies can set the string into resonant vibration?

  A stretched string is observed to have four equal segments iuqyqn, hy+3l1gj0:z aw swz 51n a standing wave driven at a frequency of 480 Hz. What driving frequency will set su: zag yzw+qn0,wh1jy3 l15qup a standing wave with five equal segments?

  A string, fixed at both ends, vibrates at a 6ss qcyvrjzzd;-m78) frequency of 12 Hz with a standing transverse wave pattern containing 3 loops. What freq7q)ms z8vczs-;d6yrj uency is needed if the standing wave pattern is to contain 4 loops?

  A string of linear densz9u1 0yg eyc u xyrf7:.bv11cqity 1.5 g/m is under a tension of 20 N. What should its length be if its fundamental resonance frequency is by: gu0y cy1x9uv1zq1 . ecr7f220 Hz?

  Find the first three harmonics of a string of linear m0(+bk z/t+jh ycyj bq:jlw 5-aass density 2.00 g/m and length 0.600 m when it is /j:( ykjy+-bc0+ ztlbhaqw5 jsubjected to tension of 50.0 N.

A string of length 2.5 m is 0 3p73grwlcndfixed at both ends. When the string vibrates at a frequency of 85 Hz, a standing wave7n3w rlpdcg3 0 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.