The time for one cycle of a periodic procesorkda.h ; v-s,s is called the

  For a periodic process, the number of cycles per unit time is capyd,qcjz 9 m 0rfq(xycg07/o,lled the

  For vibrational motion, the maximum displacement from the eq1;n pp7 /slxbodf, y(uuilibrium point is call 1s /b;upnfxd p(yl,o7ed the

  A mass on a spring undergoes SHM. h/3y8x2a th*du2zdf m When the mass is at its maximum displacement from equilibrium, its insa hd/ m228y3dhf*utxztantaneous velocity

  A mass on a spring undergoes SHM. When the masslw*/; xtjep ry1 :nnd6 passes through the equilibrium position, its iy6;w jld/t:* ep1rnnxnstantaneous velocity

  A mass on a spring undergoes SHM. Whe2 es- u9c(uda nje2 350uhebbnn the mass is at maximum displacement from equilibri and2c 2e (e5nsu3ebuh9 bu0j-um, its instantaneous acceleration

  A mass is attached to a vertical spring and bobs up oxcohhn bl, ho327a0; and down between points A and B. Where is the mass located when its kinetic en hxa ;07bl23,oooch hnergy is a minimum?

  A mass is attached to ahot- e3.i ipz. vertical spring and bobs up and down between points A and B. Where is the mass loci.oh tp-.z 3eiated when its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up an 6v0suhn,mfx (d down between points A and B. Where is the mass located when its pot(hvxu0n 6f m,sential energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down betwee,8vbii nlx eff * rox.((taof9-y0e)dn points A and B. Where is the mass located when its potent( n0 x- eff 8i)xf.*b(itro,oa9dely vial energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-spring qdxljn(flhl0(u u4gkbaq ui s6 -d3-c(4t : ,vsystem produces what effect oa nb4l ,(ldhci(-lxt4 jq3:uk gv60usdu-( fqn the system's mechanical energy?

  Doubling only the mass of a vibrating ma*, aikckvh: bpphek) 8**eci)ss-and-spring system produces what effect on the system'*)bek:h8 v )p pikakc*, *hceis mechanical energy?

  Doubling only the spring constant of a v: rle30lsd(wcv2c: mk ibrating mass-and-spring system produces what effect on the wc vl:3scdmrk2l(e: 0system's mechanical energy?

  A mass oscillates on t20fla0el bf6gg4y *eqhe end of a spring, both on Earth and on the Moon. Where is the periodlfyl 4be0q620fe ga* g the greatest?

  Increasing the spring constant k of a mass-and-spring system causes what kindtke+4xkqee)2pmx n:1 of change n1 xkpkm:e42 qx +eet)in the 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 whac7t+16s ipsvc3dg i(pt kind of change in the resonant frequency of +6dpsipv t c1s7( gi3cthe system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of av7p w (u.zb0v6ii 5y fxecz)wp-77oao mass-and-spring system causes what kind of change in the resonant frequency of uzi6 yp(pfv obi7)z7-x57ew. a c0vw othe 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 , yc1zrx 1t ,(;7jm; zxvfutdbs-fgl8 to a weightless string of length L. For this system, when undergoing small oscillatiz1c7gs ,fxtuj; yt;b8d (vx f1z,- lmrons

  When the mass of a simple pendulum is tripled, the time required for one completm4b:0mmu-*w l4f bw mte vib4:lmfbwm4 - u*bmmw0t ration

  Both pendulum A and B are 3.0 m long. The period of A *w.6fb jdb9d gis T. Pendulum A is twice as heavy as pendulum B. What igf9j6w.*b b dds the period of B?

  When the length of a simple pendulum is tripled, the time for one complete vibrarv763 nj2 jofstion increases by a 26rnjv s jof37factor of

  What happens to a simple pendulum's frequency if both it 3q6;x yevtfp0dc8r a8s length and mass are inca6f ety8cdv8qpx3 ;r 0reased?

  Simple pendulum A swings back and forth at twice the frequency of uury3uq w8gq5 -jx(b:simple pendulum B. Which statement ir8gq 3q5wu(u bxy:u-js correct?

  If you take a given pendulum to the Moor*6:*gpnt aptos/gxr,:ir d *n, where the acceleration of gravity is less than on Earth, the resonant frequen nr6g*xa p p,:**g:irot/drs tcy of the pendulum will

  Curve A in Fig. 11-1 represy yqey)dq9rwnd86 6x2ents

  Curve B in Fig. 11-1 represents /3p xcg )okrqoln;p8/uk0o;n

  Curve C in Fig. 11-1 repr5u8 s8.kia)cj vi 5ecuesents

  For a forced vibration, the amplitude of vibration is found to dependw,ng,2n7p hn*n1t/5qgpst aw on the

  In a wave, the maximum displacem1kdkcyj5tu )t9 3ox g*ent of points of the wave from equilibrium is called the j9tcgxuo)y 5*k tk1d3wave's

  The distance between successive u 5e-2)khphjhnw sk93 crests on a wave is called the wave's

  The number of crests of a wave passing a point per unit time is p)r./n r i 1itpud xs1b*4xci+called the wave'sbi1pi1tipds x/4 *+)u. rc rxn

  For a wave, the frequency timer/ v3x2xzh4nss the wavelength is the wave's

  The frequency of a wave increases. What happens to thefoj 4pgdcuz mfj6:n-sf +,o +9 distance between successive crests f n+oo: jffsc,pd u -+6zm9j4gif the speed remains constant?

  A wave moves on a string with wavelength l and frequency f. A second wave on t3djqc4:*vt -,bb )gu ald*vlihe same string has wavelength 2l and3- udb4atq) d, vv*ci:ljb*g l travels with the same velocity. What is the frequency of the second wave?

  Consider a traveling wave on a string of length L0 8u*3w1 ba8ecxeip*4c,;wtcesdi cu , mass M, and tension T. A standing wave is set up. Whichpdee8 a w1c8ib**w,i t4s0cu3;ux cce of the following is true?

  A string of mass m and length L is under tension T. The speed of a wav:fwwo t t/w.6he in the string is v. What f / tw6twh.o:wwill 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 dg* ie8+a rcpfe)go nc:3;p1 jlength 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 string if the lengt d;i:)gpcn+o rpje *1gc83fa eh is increased to 2L, with no change in mass?

  A string of mass m and length L is under n3(k3w ayehchx: s- 5 hum3/rttension T. The speed of a wave in the string is v. What will be the speed of a wave in the string ky3xh- wst:3e5nauc /3h mrh(if the tension is increased to 2T?

  In seismology, the S wave is a transverse wave.v9y 0pvhtm w/3,5ncc uyzgbc2+u6e(hh+d ,ho As an S wave travels through the Earth, the relative motion between the S2t h nhh59+b z,6gdwh0u+ov3/mcp cey,(vucy wave and the particles is

  In seismology, the P wave is a longitubi)co,l 0*ewn/ ysnt5dinal wave. As a P wave travels through the Earth, the relative motionwn)oycin0/s 5,let b* between the P wave and the particles is

  The intensity of a wave ny x4mow8.e-iis

  A wave pulse traveling to the cs8 x1ed2z*t8efoikvmg.;asjh 9,*p right along a thin cord reaches a discontinuity where the rope becomes thicker ande*thc.8vdk ,f82 gxpmz o*a;ej1is9s heavier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal posilq2. 1 eqkdjrh8k2rh ky c*t,1tive amplitudes pass each other on a string, one is traveling toward the rightqqkkld . 18rt,cerkj 2hhy21* 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 odbfts:m t i7s1ese .;h:jm0u7n a string. The one traveling toward the right has a positive amplitude, while the one traveling toward the leefm0ds;s77eit.1u tmjsh::bft 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 fixoo;hy,x s3k 4xed at both ends, occurs when

  If one doubles the tension in a violih a0y lq y-k(:u)s+kri/u.ntnn string, the fundamental frequency of that string will increase by a fa(0y.+il /qstk-nkyu):u nah rctor of

  What is the spring constant of a springks r697tecrs7uuy0f9 that stretches 2.00 cm when a mass of 0.600 k9te7 6 ruksy0sr9 u7cfg is suspended from it?

  A mass is attached to a spring of spring constant 60 N/m along a hori* sss6lz dt)q5zontal, 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 equilibris zdqlt6*s5s)um position when it is oscillating. What is the amplitude?

  A mass is attached to a spring of springmm.88mfk fz z:4xk;jnghs4 7p 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 position when it is oh ;zjfkm. k44m8xfp 7:8znm sgscillating. What is the period of oscillation?

  A mass is attached to a spring of spring co ey..ilqf,8 frnstant 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 yef.il f .r,q8oscillating. What is the frequency of oscillation?

  A mass on a spring undergoes SHM. It goes through 10 complete oscillations in 5abtb9 yqt-xje4 ,(tx/dw,0 lmweby5 /.0 s.t4,j(/w y9y wq/etdbba,m0 tx5- xble What is the period?

  A mass vibrates back and forth from the free end of an ideal spring of spring co4gb oq7 t)eyo5nstant 20 N/m with an amplitude of 0.30 ) 5b4gqe7oo ytm. 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 of spring constant 20 N/m along a horizon wc1fpo ku6tm3h5cr/8tal, frictionless surface. The object oscillates in simple harmouk6 fh81op5mc 3/rt wcnic motion and has 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 timgbaj q *afdw0z6) 4u2 aad:t(ve. The mass is cut in half, and the system is again set in motion with amplitude 4.0 cm. :4jb6z )d a(avgdaq w*u0fa2 t 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 orvxa+ahkyb* od-;8 pxe05 z 7pfec:vm;h4 a(a horizontal, frictionless surfacpa5kf;r he :zavh8oey*cdp ;0xb+ov7 -4x( ame. The object 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 a spring of spring constanr p130l zha.klt 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 al lr.zp1ah03k re the kinetic energy and the potential energy the same?

  A 2.0-kg mass is attached to the endq:54 z5fs2,oj y 12beamtxg nz of a horizontal spring of spring constant 50 N/m and set into simple harmonic motion g :n,5atj1e fsbz2moy x5 2qz4with 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-4f+(.clccm,:uio;pw nt lsf g constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. Wlc 4+-sff.in,lmc;wtu : p( cohat is the total mechanical energy of this system?

  A mass vibrates back and forth from jg7p 9ze4z-ygthe free end of an ideal spring of spring constant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kinetic energy of this vibratinzgp jg9zy 7e-4g mass?

  The mass of a mass-and-spring systeq8gc46 gw ih7vm is displaced 10 cm from its equilibrium position and released. A frequency of 4.0 Hz is observed. What frequency would be observed q 4 h67iggwc8vif the mass had been displaced only 5.0 cm and then released?

  A 4.0-kg object is attached to a spring o xciz 6ma()ek j.mo-3ef spring constant 10 N/m. The object is caim3 .x(m6eoek - zj)displaced 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 cons7c jau g+xl*w/tant 10 N/m. The object is ul gc7a+x*j/w displaced by
5.1 cm from the equilibrium position and let go. What is the frequency of vibration?

  A 2.0-kg mass is hungpvx).e+g;o dswlp 6c1 from a spring of spring constant 18 N/m, displaced slightly from its e6vp )pcsl w;dexo 1+.gquilibrium position, and released. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillaa3 j5m,nz6kg, dx0ej9rfqn h2tes at a frequency of 1.27 Hz when displaced a distance of 2.93nr56n afdmkh 02, jx,gje zq0 cm from equilibrium and released. What is the maximum velocity attained by the mass?

  Two masses, A and B, arn4;y**peq2 w;cy enas e attached to different springs. Mass A vibrates with amplitude of 8.0 cm at a frequee; wa scyp;*nye*qn2 4ncy of 10 Hz and mass 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. Isrc+v 2s680k:f xg z8pl hza.xn 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 period of osc xxflk:hz8sa .rgs 2zc8p+v 60illation.

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass stretches thnnq/kv*46kuf6 skl /a e spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and released from rest. Calculate the tauk6f sqnk64// kn l*votal energy of the system.

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass stretches qhgw6 g;d6ia71 ; )y mdqqq3kgzrk,1 tthe spring 2.0 cm downward. The mass is then pulled an additional distance of 1qi wgk76y);gqq1 r,61 h qztdg;d amk3.0 cm down and released from rest. Write down its equation of motion.

  An object in simple harmonic 2 ro rlc7c/z4xmotion obeys the following position versus time equation:2l c4c7z/ro rx
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmmhbu;h5*l. hy-nz l.d onic motion obeys the following position versus time equation.l ;5 b-nlmhu*.yhhdz:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeyb-bm iszy (:a5s the following position versus time equat5i(-mbs b:z ayion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple w5uhp 3p2(,. pwsqtmi9f mak, harmonic motion according to the equa2,mtipp.as3hq u 5 w,mfp 9w(ktion $y = 0.50 \; \sin (18\pi \times t)$ where y is in meters and t is seconds. What is the period of vibration?

A 1.5-kg mass attached to spring with a force7 +g.kh9tny im constant of 20.0 N/m oscillates on a horizontal, frictionless track. At t= 0, the m yk .7tg9+hinmass 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 *g i)c:ta(vn9 oaiw8 yare its frequency and peri t:*g ao)8iy (aivcw9nod on Earth?

  A 3.00-kg pendulum isa +znyws8q ./j 28.84 m long. What is its period on Earth?

  A pendulum has a period of 2.0 s on Earth. Whu87 cv tu6pw)nat is its length?

  The pendulum of a grandfather clock is 1.0r6ozxxx99q *+f ad5js m long. What is its period on the Eartxfx +rsxjod*q 96az59h?

  The pendulum of a grandfather clock is 1.0 m 9n v76ggni4phh ic*i4g nv wxhf5k: 35long. What is its period on the Moon wg5 vg4hhh5i 7p34i n6in9: nxf cgv*wkhere the 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 massless ax ;gmwkf di2ef*evr;w2d),-string. When the mass is displaced slightly from its equilibrium position and released, the pendulum sw xd2*-wreai ;m;k2 e),vwffd gings 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 ang6c(yu2 +uxhr 6dyqk30qt4 hvqular displacement of 8.0e. It oscillates y (y0uhkcx6 q2qvd64 +3rthuq 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. rx1:w k,l-utc The frequency of the wave is 120 Hz.r -w :xtlu,c1k What is the amplitude?

  Figure 11-2 is a "snapshot" of a wavejsdtn lm;5 i yg.y1o02iza); e at a given time. The frequency of the wave is 120 Hz;egyd2 ao1ztl;min)50ijy s .. What is the wavelength?

  Figure 11-2 is a "snapshot" of a wave h5ee-ygy ts+6:ycuf/9 sv/ k oat a given time. The frequency of the wave is 120y soecy 6ghfusevtk//y9-:+5 Hz. What is the wave speed?

  What is the frequency of a wave which hg2 -7ltv:b wdeas a period of 6.00 ms?

  What is the period of a wf a*kte7f()pafh o)b/ afnk1rs(mf0:ave with a frequency of 1500 Hz?

  What is the wave speed if a wave has a frec cmd9e a 5a34tnqx9f4quency of 12 Hz and a wavelength of 3.0 m?n9 3x4m5tq4eafa cd9c

  What is the velocity of a wave that has a wwa( p+o dl/rr:avelength of 3.0 m and a frequency of 12 Hz?d(pl/+ra: r ow

  What is the frequency of a 2.5 m waqot+- () jsok:+e-zdz*oy icr,7hc gave traveling at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is under a tension osd :jz )q72b7 wrlsh *v-ac7ogf 1350 N. What is the wave -vo 7bl* 2jzds:7)aq 7wc rhgsspeed?

  A string of linear de cfz8i2ql5w* -x5rvotnsity 6.0 g/m is under a tension of 180 N. What is the velocityr lw5zxi*f528 -cto qv of propagation of transverse waves along the string?

A wave whose wavelength is 0.500 m is traveling down a 500 m long wire *qqy ei 4us9;fwhose totalsyi qq; eu94*f 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 a -w7od+m k e2t h-2lk70ighxdwave on a 2.0-m long string fixed at both ends is 200 m/s. Which one of the follma-i2d 77okt elkdw2h-g+0hx owing is not a resonant frequency of this string?

  If a guitar string has a fundamental f7: pxb48nojdg o1mlt/requency of 500 Hz, which one of the following frequencies can set the strinpo1xj7tmbl 8 ond:4/gg into resonant vibration?

  A stretched string is observed to have four equ;4bri0wodqj ezlb4x 5slb1/ajs525 y al segments in a standing wave driven at a frequency of 480 Hz. What driving frequency will sesq5e5wsllrdja;xybj 0 24zo 1/b4i b5 t up a standing wave with five equal segments?

  A string, fixed at both ends, vibrates at a frequency of 12 Hz with alnr-p yxnjk6k 4* t* jlcc506o standing transverse wave pattern containing 3 loops. What frequency is needed if the standing wave pattern is to cocc6*k 6r *t0l nlj-nxo 4yjkp5ntain 4 loops?

  A string of linear density 1.5 g/m is under a tension of 20 N. What sd )c7uu c yas 8qt*ydsb2;dx 4m6+hog6hould its length be if its fundamental resonance frequency is 220utxs4;uhb+a dy6*codm q2gy87 6d)c s Hz?

  Find the first three harmonics of a string of linear mass density 2.00 gz z(q29fh ya5q/m and length 0.600 hqy9zf(5 2zqa m when it is subjected to tension of 50.0 N.

A string of length 2 orygsfh2qask i2 vzs4j2kl6se6-y 7h7) +y*e.5 m is fixed at both ends. When the string vibrates at a frequency of 85 Hz, a standingakzs y4ori-hsje27ghsl267 6 +y)fq* k2y evs 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.