The time for one cycl8:2yip 3wpy h- ldp96eknl b1de of a periodic process is called the

  For a periodic process, the number of cycles per unit tikkh,v* 7oi4okt(u dy)me is called the

  For vibrational motion, the maximum displacement from the equilibrium point (nkngq :g,.mu ;,gdqw is called th,un (ggqnkq ,w;mg :.de

  A mass on a spring undergoes SHM. When th-uqhxhrd6*9sm . br8be mass is at its maximum displacement from-ru . q sxrh96m*bhbd8 equilibrium, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass passes through z2om(as 7fx3drzib)n5 ep t: :,je7vyft-f/othe equilibrium position,jfzo,(n5 xya:f2)3i 7 :tv bdfz/m-pte7ser o its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass is at maximum displacement fr2j4b:2 -dpul5:7jmyytg, 2m bkwf y voom equilibrium, its instantaneous acceleratiofm ygbbjj5yt2vlk, :-:7 2uw4 y2pmdon

  A mass is attached to a vertical sd.k5n8k4 t: oi kvrjll8 -q,m8o4yhwgpring and bobs up and down between points A and B. Where is the mass located when its kinetic energy r4kljt- 8o5hd8 y,q:. 4g mnviokw kl8is a minimum?

  A mass is attached to a vertical spring and bobs up and down bup3 vu35dxxt- etween points A and B. Where is the mass located when its kinet3p3u5 x vux-dtic energy is a maximum?

  A mass is attached to a vertical spring and bo:/f,n:pwc 0i nn1hy7uc-.mera dai + ibs up and down between points A and B. Where is the mass located when its potential e+e/7ha :c w:p-uandf,ymn nir c01i. inergy is a minimum?

  A mass is attached to a vertical spring and bobs upzjs ven,t9ul+a 7 r6 en2soo0; and down between points A and B. a r20esj7 oo;,env+l6 uzsnt9 Where is the mass located when its potential energy is a maximum?

  Doubling only the amplitude of a vibratg8sp9to (t; saing mass-and-spring system produces what effeot( 8ag9pts;sct on the system's mechanical energy?

  Doubling only the mass of a v h 2zar/v/0idjibrating mass-and-spring system produces what effect on the system's mechanica//jr h2zd iv0al energy?

  Doubling only the spring constan1 kz/g.xbg;su t of a vibrating mass-and-spring system produces what effe.xksubz/ g;1g ct on the system's mechanical energy?

  A mass oscillates on the end of a spring, both on Earth and on the Moon. o6yvlu e(-wv.ryxbe(c6o 3.m Where is the period thevc6 le-(3o. (xmvoe 6wy.ryb u greatest?

  Increasing the spring constant k of a mass-and-spring:f8n 0lz t8jvq system causes what kind of change in the resozj8f: lnv 0qt8nant frequency of the system? (Assume no change in the system's mass m.)

  Increasing the mass M of 8d1 ) 0k4qv o3bgtevnia mass-and-spring system causes what kind of change in the resonant frequency of the system? v ebqv0 43n)o1td8 kig(Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system causes what kind of chbjv9x -.f86ku z.5feldkjqe.ange in the resonantbk9fe uj6l fe.v.8j -.k5xzqd 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 a wm8ls 9egn/ twb;mr r2)eightless string of length L. For this system, when undergoing small oscilt9 nwge;s)2 m/br8lmrlations

  When the mass of a simple pendulum is tripled, the time required uztim*4pe f 2d7/cg3a)s ) *iyp7rcglfor one complete vibrpcr7/uc yga i7*)2s3 ml4)te*pfd gization

  Both pendulum A and B are 3.0 m long. The period of A is Tv:,qn)j2x jhwq-t id: . Pendulum A is twice as heavy as pendulum )n:,vx2 hi- jq jw:qdtB. What is the period of B?

  When the length of angjy/ee* ke8x pe 7qf/;97u3 vwmivc1 simple pendulum is tripled, the time for one complete vibration incree9p7yive1nk;3j 8wum q cf7/ e/gvx*eases by a factor of

  What happens to a simple pen, r6 +)lob hpmk0u8jqsdulum's frequency if both its length and mass are inrqb,smljp 6o+)u8 0 hkcreased?

  Simple pendulum A swings back and forth at twice the frequency oau*3 3qdd9p4:ud o +ug jju+sef simple pendulum B. Whicdu j adguq3u:e 3+s4ou *pd+9jh statement is correct?

  If you take a given pendulum to the Moon, where the acceleration of gravru wv58kd/6ty jdvd+5ity is less than on Earthvutdj8/+5vwd k6 d5ry, the resonant frequency of the pendulum will

  Curve A in Fig. 11-1 represen7wd,f ol1:jhtp1u zq+ts

  Curve B in Fig. 11-1 rew:ns)vl. :adj presents

  Curve C in Fig. 11-1 represents4 hx )uh pclfxr.79rsmv*;ac+

  For a forced vibration, the amplitude of vibration is foun ,rd ;wjzg2*lod to depend on the

  In a wave, the maximum displacement of points oq/ rsxcur7ar nop9019 f the wave from equilibrium is called tarn/q7 9 ur19ocrxsp 0he wave's

  The distance between s40ufv kxjlyw1: 0h37w hnz+spuccessive crests on a wave is called the wave's

  The number of crests of a wave passil. hn0fpf:o+ ileko.7ng a point per unit time is called the wave'l l:p+heok 70.o nf.fis

  For a wave, the frequency timea . tdb /b+jvkh8.u.oas the wavelength is the wave's

  The frequency of a wave increases. What happens to the disto qksmnd9a o7kol(i ,j.+37stance between successik kqa7 7+. 3nlooots(sm,id 9jve crests if the speed remains constant?

  A wave moves on a string with wavelength l and frequency f. A secoh,dem*/e -stind wave on the same string has wavelength e ehd m*i,s-/t2l and travels with the same velocity. What is the frequency of the second wave?

  Consider a traveling wave on a striue 04k x d,fi9gstrqqz*p+5h46ewe7cng of length L, mass M, and tension T. A standing wave is set up. , kp*hfe07erwzqiut6x d94g 5 qc+e4sWhich of the following is true?

  A string of mass m and length L is xs 27qtj 4sr6kunder 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 mass of the string is increased to 2m, with no changeq j6 2xts74rks in length?

  A string of mass m and length L is under tension T. The speed ofk150o tz xz1l5t dien+ a wave in the string is v.ik5n1015 tzo z+xle dt What will 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 tensionbz0nkm*te, upe+- 7 kx+mz v-g T. The speed of a wave in the str7 n+xzme+kp-k*bvet zu -,mg0ing is v. What will be the speed of a wave in the string if the tension is increased to 2T?

  In seismology, the S wave is a transverse wa70a 9vpwn/g wive. As an S wave travels through the Earth, the relative motion between the S wave /wa0wni 7 9gvpand the particles is

  In seismology, the P wave is a longitudi ywz3/tr h)j1 jr+r;qynal wave. As a P wave travels through the Earth, the relative motion between the P wave and the par;jt3yz 1qhwr r)j+ ry/ticles is

  The intensity of a wave2*8f 6/smkbj5fqtj0( ydjy rc is

  A wave pulse travelingntw1jy4v**v x to the right along a thin cord reaches a discontinuity where the rope becomes thicker and heavier. What is the orientation of the reflectednv *x v4t*wjy1 and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each other on a string, onh ,11hesd-bq orpmx5 ;e is traveling toward the right and the omds5-eqx1p 1orh ;,bh ther 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 trtq2 z+ct+cx o+aveling toward the right has a positive amplitude, while the one traveling toward the left has an equal amplitude in the negative direction. to+2c txqz++c 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 lz.w*nayilw o+fd;k*:7q:t i9w k z1 fends, occurs when

  If one doubles the tension in a violin string, the fundamibu ;lgku970y.ks07,d c mamlental frequency of that string will increase by a factor k9km7 7.ys m;dc,i0lalbg0uu of

  What is the spring constant of a spring that stretches 2.00 cm when a -u:0rmfkpxgd0mi6y6 mass of 0.600 gf-60 pdku6yi:0 r xmmkg is suspended from it?

  A mass is attached to a spring o( aj/)dlnn,2 kc dn3zhf spring constant 60 N/m along a horizontal, frictionless surface. The spring is initially stretched by a force of 5.3/nk (jc n,z ddl2a)hn0 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 along a horizo+p)0y le65ia1wrk khemq*y*bj/tz rm-/ s z/bntal, 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 oscillatiorki6z *q/ktpzry/sy-beh1/ el)+a w 5bmmj 0*n?

  A mass is attached to a spring8 ls :mxoj8dm,v9vf*g of spring constant 60 N/m along a horizontal, frictionless surface. The spring is initially stretched by a ffx9o s8ljd:8 v*v mgm,orce 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 goes through 10 complete oscillativy14glo 8/ hvgniqk:fq q v.+0ons in 5.0 s. What is the per1k4glfyvgoihq +/ v0 q:qv8. niod?

  A mass vibrates backvmuq x5ae:hf6 2 5.dzv and forth 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 frvz:u5h6vf .de a mx52qom its equilibrium position?

  A 0.50-kg mass is attached to a spri3kkutw f e8 pgmph(.-/ng of 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 positio/gk(wpm.8e h3-ut fp kn. What is the total energy of the system?

  A mass undergoes SHM with amplitude of 4 cm. The energy is 8.0 J at thisx f3i5fuabooq nq).3* time. The mass is cut in half, and the system is again set in motion with amplitude 4.0 cm. What is the energy of the system now?o3q . f*5)aq3oxfu bni

  A 0.50-kg mass is attached thw ns7vv*e,cg*wx,a7o a spring of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 7nhg,wvw*cva,xs 7 * e1.5 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 i9 hdef1:8wbnhorizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s at the equilibrium position. At w eihwfb:d8 1n9hat location are the kinetic energy and the potential energy the same?

  A 2.0-kg mass is attached to the end of a horizontal sph h1o k43:dphiring of spring constant 50 Nhpho3d4:ikh 1/m and set into simple harmonic motion with 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 horwh.q:70jxyc f izontal spring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the h7j:.x 0qfcwytotal mechanical energy of this system?

  A mass vibrates backy(aqzij83v+bo,8o6 9 sd)ec umu2m wy and forth from the 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 vibratin6)8mb dicqu8+ (eavzwo2j yo ,3syum9g mass?

  The mass of a mass-and-0 g wrbkpapk2/l); gjt7/da;tspring system is displaced 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 been displaced only 5/k l7gt pgdb/ rk)2wajp; a0t;.0 cm and then released?

  A 4.0-kg object is attached to a spring of spring constant 10 N/89:v*94vm sl vtab ()ns hq74uozvbe jm. The object is diz4 vh9 qlaj9otsn8s e 7):*v4ubvmv b(splaced 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 sprintwko kw393atu6- sz: .w o-qfpb6j mk*g constant 10 N/m. The object is dispwz.k6fsj ttaw b 3uw- 9mko3:qkp6o*-laced 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/4fh tq0,mfe8gm, displaced slightly from its equilibrh8qt,0e mff4gium position, and released. What is the frequency of its vibration?

  A mass is attached to a sprinu3hz.5,46 mnl n/y6 apjj 9glujvsu.k g. It oscillates 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 thyj,jhuag4jpnks5llm 9 6.u.6/ nu3vze mass?

  Two masses, A and B, are attached to different springs. Mass A vibra rk b:uovhgw06xd--)3sz+x w qtes with amplitude of 8.0 c:gov 3h)wxkz-q-sudb+ x 0 wr6m at a frequency 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. In equilibrium the mass s:) l*aifnuppls-qds o 7 g1ck8yr. -(ptretches the spring 2.0 cm downward. The mass is then p 8yngl) -op7s.f(* q rald:1k pipcu-sulled an additional distance of 1.0 cm down and released from rest. Calculate the period of oscillation.

  A 0.30-kg mass is suspended on a spring.sl*ob 2/ pw go4pzcu** 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 fromwzcs*bl4**2 ogp/ p ou rest. Calculate the total energy of the system.

  A 0.30-kg mass is suspended on a spring. Id v0dk br* +zcpk ua*8,u rc/o.i(k9qfn 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. Write down its equa rdb+o,v8*kku(fu rz0p9a ./qid c*kc tion of motion.

  An object in simple harmo rk:gu,vnz cgk3 7)j wt,ewkpu/ +;gd.nic motion obeys the following position versus time equa+)jp k eukrwc vn.g /,,7dtk3wugg :z;tion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the folu 4.cidbo wo40bf-mau+b9i 6ylowing position versus time equu4 iawo-f69ymi0uod .bbb4 c+ation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys s0 5cim)6/xpo e tz1cnqu*1cethe following position versus time equations11pe56tq/ ezm uxnc)i* cco0 :
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple harmo4simw-y ci4h)gzb3v )racsq- odz:0,nic motion according to the3-zwsyq-i :,zc b ai h0d4v))os 4cgrm 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 wi5wap9 +qa)zxr th 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 p+rq59)a xwza. (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 k)d, 2tvij-ste1t kl/.0 s. (a) What are its frequency and period on Ekl dv2 ,-)setk /jtt1iarth?

  A 3.00-kg pendulum is p392 1bpgh6d *sodlcf 28.84 m long. What is its period on Earth?

  A pendulum has a period of 2.0 s on Earth. Whatpxq82g g, q z2-yvt6u ssa (w.efx.,zy is its length?

  The pendulum of a grandfather clock is 1.0 m longqs+pu (a/ a.o8gyvot 2. What is its period on the Earths8qap./y o(v +gu2 oat?

  The pendulum of a grandfather clock is 1.0 m long. What is its period one+b g.xuvv26q the Moon where the acceleration due to grag+vb xu.eq62v vity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass ) hx h5cr;a*p4zks(qw attached to a massless string. When the mass is displaced slightly from its hcxsk qp;z5w*h r(a4) 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 hj+.7fk+qb;k p/todm sas initial angular displacement of 8.0e. It oscillates wits.7k+kmo /jq+b tfp; dh 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 frequency of*iv:r3e d/ evi the wave is 120 Hz. What is the ampl/i ee3vv :*driitude?

  Figure 11-2 is a "snapshot56dv (m4qiwb 5 mgbhv*" of a wave at a given time. The frequency of the wave is 120 Hz. What is the wavelengthiq5(m5mbw vgb *46 dhv?

  Figure 11-2 is a "snapshot" o(f9ksvh c juh;u,(0ttnmxp+ * f a wave at a given time. The frequency of the wave is 120 Hz. What is the wkutx (h+ts( nfmup;v 0 9c,*hjave speed?

  What is the frequency of a wave wh2(;seebi(dslzn ; t-yich has a period of 6.00 ms?

  What is the period of a wave with a frequency d5oo/vdbo+fk vw 10+r of 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz and a wavelise1rr x.,u6zength of 3.0,r 6x .rieusz1 m?

  What is the velocity dob /58v68ko sbenmd9 s(ea8xof a wave that has a wavelength of 3.0 m and a frequency of 12 Hz6s8 ao8e8 9(/k xbeombdsn5v d?

  What is the frequency of a 2.5 m wave n.sce n;a/,wcphx 1kmr(f c8l -m40dstraveling at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is under a tension of 1k9ewvfc tt .ri5/)jl2350 N. What is theet il/vcf 25j9t.kr)w wave speed?

  A string of linear density 6.0 g/m is under a tension of 180 N. What is thk2; axq:h6ovs*l s1i5) a zhybe velocity of vhly:* 1sz; 6bxi5 ak2qa)o shpropagation of transverse waves along the string?

A wave whose wavelength isi f6g0 3 av:r*u ty8r(qrlt4xv 0.500 m is traveling down a 500 m long wire whose totvqr0gra(t y xu i:3l48v6f*rtal 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 transjbk:-wq ,cc/c verse 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 frequency of thisj-c: c q,bk/wc string?

  If a guitar string has a fundamental frequency of 500 Hz, which one of the d cifrksvg3.d wq68 8z+z2vq r) ig*6lfollowing frequencies cqvdgv*qd2)w6f zl r .+gr i8zs3c8ik6an set the string into resonant vibration?

  A stretched string is observed to have four l t1n4a09v-nf 8wq n-cgeswfq*by(s/ equal segments in a standing wave driven at a frequency of 480 Hz. What driw *ewbtc9(y-f/qq80sfg- s1 na4vnnl ving frequency will set up a standing wave with five equal segments?

  A string, fixed at both ends, vibrates dw381*)x5yaxoqc7hube ur6p at a frequency of 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency is needed if the standing wave pattern is t *c3haud6px)q81e7xuo b 5wr yo contain 4 loops?

  A string of linear density 1.5 g/m is undexk;-vc)yu w ch, 6lr0o..lgpsr a tension of 20 N. What should its length be if its fundamental resonance frequency is u ;o h.0rcscwyk xp6l .-gvl),220 Hz?

  Find the first three harmoniczmxbm c7 i-k:3wfs9x-s of a string of linear mass density 2.00 g/m and length 0.600 m when it is subjected to tensiosmw-3:kb 9ifz m -xxc7n of 50.0 N.

A string of length 2.5 m is f awy 1982+ h2jxbwvdcgixed at both ends. When the string vibrates at a frequency of 85 Hz, a xb29+gcj2wvh18 yd wa standing 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.