The time for one cycle of a periodi,ks+x 5hwpwe9c 36z.7raflk vc process is called the

  For a periodic process, the 0kzwy+1m :p nf*drjl y1; psy4number of cycles per unit time is called the

  For vibrational motion, the maximum displacemz vfg7xamdqg4m55 yy k8gt 8*.ent from the equilibrium point is calledggk gmd8z5 y amy.54q7v f8x*t the

  A mass on a spring undergoed0w 7a4 ph 78u,mem)kxlp 6ffss SHM. When the mass is at its maximum displacement from equilibrium, its instantaneous ve7l a87fuh6m ,wps 04mkxpf)ed locity

  A mass on a spring undergoes SHM. When the mb1n:3r0 ijaoomev1 pv 6, i1vlass passes through the equilibrium positi16 1 eov,ljim30vo ivp:ar b1non, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass is at maximum displacement frhztg5hu7cdu+t(* m :aom equil +mzuu(*c:t7dhh5 t gaibrium, its instantaneous acceleration

  A mass is attached to a vertical spr./oju vke/ 3 unx7rxdqx0j(u* ing and bobs up and down between points A and uq.0/jnx(d 7/x 3 vxk eouju*rB. Where is the mass located when its kinetic energy is a minimum?

  A mass is attached to a ve.8e2ujynjz 5k /aje2b p bau3-rtical spring and bobs up and down between points A and B. Where is the mass located when its kinetic energy ibn2b3. kuajjj -eae8/p2yu 5 zs a maximum?

  A mass is attached to a vertical spring and boc9j ye-ez f3;mv mbr80k2ze:*uu (nlbbs up and down between points A and B. Where is the mass located when its pokzn(0z9:rlmb- jvye *; e8u23be cfmutential energy is a minimum?

  A mass is attached to a vertical spring and bobs up and dow t8wlix;z b:p q(cxe5 5j(r5pun between points A and B. Where is the mass located when 8b( 5q j5uw:ezil5xrtcp x( ;pits potential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-spring system glu3vz: bn3.a produces what effect on the syv3l: unz a.gb3stem's mechanical energy?

  Doubling only the mass of a vibrating maswn- 5c2tbs xj)s-and-spring system produces what effect on the system's mechanicn wct2x)-5 sbjal energy?

  Doubling only the spring constant of a v. b:jz7*kn53fquixysddg--c ibrating mass-and-spring system produces what effect on the s dqx-c skgdby-jf*i7 5:.nz u3ystem's mechanical energy?

  A mass oscillates on the end bkpsbz5.y11;s u wu-:fz ab9eof a spring, both on Earth and on the Moon. Where is the uyk:s; zf1ap-9 bu5.bz e sbw1period the greatest?

  Increasing the spring constant k of a mass-and-spring xo vzvmm* t5q9)e:j i9system causes what kind of change in the resonant frequency of the system? (Assume no change in the system's mass5j :9vmq*tm9z)xieo v m.)

  Increasing the mass M of a mass-and-spring system causes what kind of c qq4bd op)9,lzs61dcm54gou dhange in the resonant frequency of the system? (Assume no change in the system's spring consuod56o)qb9sg mc1,dpl zd4q 4tant k.)

  Increasing the amplitude of a mass-p ;0e ,mwx u dndyes*-6j8lx7oand-spring system causes what kind of change in the resonant frequency of the x0j edw 6p8yoxs*um dn,le;7-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 weightlessm0ow/krw1qv bdu cz561 rw3zc8 xz.f ) string of length L. Forr8. )dx q3bufccz1omk 0w1z/6 w5zwv r this system, when undergoing small oscillations

  When the mass of a simple pendulum is tripled, f(k+2+b ongzkthe time required for one complete vibra+fo nbzkg( +2ktion

  Both pendulum A and B are 3.0 m long. The pe (vprr3b e5o /eg1 wd,(8ycmgeriod of A is T. Pendulum A is twice as heavy as pendulum B. W /g(yv1broweeg3erp cd5 ,( m8hat is the period of B?

  When the length of a simple pendulum is tripled, the time for one complete vibret6 6e2pxpf *l(;r e j5rj ke(uw2dex5ation increases by a facto p(;jx6t2pr2 ewd ek56lf*e5juxr(ee r of

  What happens to a simple pendulum's frequency if both its length and mass areglhjs 1y2ixjn8d ht8gej (;3o5 5e, mf inchjn,5 xghj efd ig e(88my;l1jo2 3st5reased?

  Simple pendulum A swings back n0a4autlu( 8oand forth at twice the frequency of simple pendulum B. Which statement is8(40lanaout u correct?

  If you take a given pendulum to the Moon, where the acceleration of gravityy . g61q-.blp1lgb uyo (gbw9n is less than on Earth, the resoyb-6wpbl 1lu oyn g. 1g(.qgb9nant frequency of the pendulum will

  Curve A in Fig. 11-1 represen.+h ztiu e5 g-rh6*t;o 5excqe;uzon0ts

  Curve B in Fig. 11-1 represei6.ujzjg c:3nfjc*6sq3 j pje08,mmants

  Curve C in Fig. 11-1 repa* rfh s;i5yx:resents

  For a forced vibration, the amplitudklecf-ufh) 0 5e of vibration is found to depend on the

  In a wave, the maximum displacement of eu2o.k /uab3o points of the wave from equilibrium is called the wave /aouk3eb.u 2o's

  The distance between successive crests on a wave is calledod+u8 ci( ry r/0oy,qo:hqfc; the wave's

  The number of crests of a wave passing a936s8uxi*e*. qtq a 6fz)e rdzgvs1kr point per unit time is called the wave'8*f t zes*ki qzsr)gru6961 xeav d.q3s

  For a wave, the frequency tx8vq6)p 8,ztqvv dz0 gimes the wavelength is the wave's

  The frequency of a wave increases. What happens to the distance between successxs8x ;w1 ,yefsive crests if the speed rema,yw8fxs s1;e xins constant?

  A wave moves on a string with wavelength l and frequency f. A ga1 i5lm)ynj4second wave on the same string has wavelength 2l and travels with the same velocity. What lij m n154g)ayis the frequency of the second wave?

  Consider a traveling wave on a string of length L, mass Mbl3jriv* .imd5ag x. 2, and tension T. A sta.dl3gxaii m5 j2v.r* bnding wave is set up. Which of the following is true?

  A string of mass m and length L is under tensimdur6-s0 xgt /(- ukehon T. The speed of a wave in the string is v. What will be the speed of a wave in the stris0u(mx/u r-k g h6dte-ng if the mass of the string is increased to 2m, with no change in length?

  A string of mass m and length L isw(aon1jjf d kx-*- /py under tension T. The speed of a wave in the string is v. What wikjax- /dw1j (p *foy-nll 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 un+kdd .qhme+oaop0y8:ymh0 s-xdab7h,v 1b1 yder tension T. The speed of a wave in the string 1veyhob, hhk p:mdsmy71 0ad+-xdo8+ .yq 0bais 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 agkk6-d*3xni /y2qj tm transverse wave. As an S wave travels through the Earth, the relative motion b*d kxn2m tq-y6j3/kigetween the S wave and the particles is

  In seismology, the P wave is a longitudinal wave. As:* fef4o y2ddbsc3, ov a P wave travels through the Earth, the relati:de*2o4,3ob y sdffv cve motion between the P wave and the particles is

  The intensity of a wa- hr7ru4fxg yw 5prvx8+.vjo6ve is

  A wave pulse traveling to the right along a thin cord reac dpiimks;zsoeo; q)5ti-)2 q2hes a discontinuity where the rope becomes thicker and heav52s;zio) it mok2;iqed s-)q pier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each other o tj/xn; suw(,pf-8inxn a string, one is traveling toward the righp(xwsfx-n8/t n,u;j it 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. abak*r:3whh + The one traveling toward the right has a + wrk:*habh3apositive amplitude, while the one traveling 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 endxs vr tl;-j6l8 +on*bkssp;r 7s, occurs when

  If one doubles the tension in a violin string, the fundame: bui m1y0jk*lntal frequency of that string will increasuy0 lbjkm:i*1 e by a factor of

  What is the spring cons eb)i1b zr8yv w0xt2x2tant of a spring that stretches 2.00 cm when a mass of 0.600 kg is suspendexe )i12 b ztrxwbyv820d from it?

  A mass is attached to a spring of spring 6p mc*vk)kvt7constant 60 N/m along a horizontal, frictionless surface. The sprim6c7kv )tvp*k ng 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 amplitude?

  A mass is attached t ((6el(bvfw4cf8 cib (fzru* s,lhd-so a spring 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 takes the mass 0.50 s to go back to its equilibrium position when it is oscillating. W cwfs(zhc6b r*(bs(8uv,4fli -d elf(hat is the period of oscillation?

  A mass is attached to a spring of spring constant 60 N/m along a horizontq8jr :q6ogl *mc3;cpnal, frictionless surface. The spring is initially st6l*n;q :8jpomrgcc 3q retched 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 frequency of oscillation?

  A mass on a spring undergoes SHM. It goes9bs ebam7;hsy 1/t )eo through 10 complete oscillations in 5.0 s. What is mtb ho;yse17 s)9ea b/the period?

  A mass vibrates back and forth from the8w)2rjo q2 ,mqu,xrnm 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 its equilibrium posit )n, rwqjm2u8x o2mqr,ion?

  A 0.50-kg mass is att djm,wmj 8wp5ktjj79(ached to a spring of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a j (tkj pjdj wm879mw,5speed of 1.5 m/s at the equilibrium position. What is the total energy of the system?

  A mass undergoes SHM wit . cghsc;6o 2tn9zlfh;h amplitude of 4 cm. The 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. What is the energy of the system n;t6hg9l cc.zhs f;on 2ow?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m al:s pd(36d 8u(7phpc lpxyu 8awong a horizontal, frictionless surface. The object oscillates in simple harmonic motion and hapdlhp 83 8paw7du(sp6: uxyc(s a speed of 1.5 m/s at the equilibrium position. What is the amplitude of vibration?

  A 0.50-kg mass is attached t qnl5r .8rfx+zp .6ylqo 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 1.5 m/s at the equilibrium position. z r .n65qyxlq+rp8l.f At what location are the kinetic energy and the potential energy the same?

  A 2.0-kg mass is attached to the enu pwi.+8v f y:5otm:3ec/ ymz. xau4uzd of a horizontal spring of spring constant 50 N/m and set y3o z ix:m./u.ytceuuma vfp4wz8 +:5into 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 horizontal spdqlf-l nt 3oz2c(b,t6ring of spring constant 50 N/m and set into simple harmonic motio3nll f6 ,-o(2qbcdtztn 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 el / )r ab,xw,z1bkorlfn:yk :9nd of an ideal spring of spring constant b:w 9kaz,/l frk1,o)nbxy:lr20.0 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 displaced 10 cm from its equilibrium pos9y)3 )fjv qn1bqqouyk.z9ry78e /( ts aq8xvqition and released. A frequency of 4.0 Hz is observed. What frequy.ftrb9xsyy9q(q 18)nu/ vq)8 v7eq kozaqj3ency 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 c, uq9voypyqr4ygeto4+ j.p j qq+ s*,5onstant 10 N/m. The object is 5ypu+4+qot sgqq,qojyvp e 9. j4r,y*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 constant3*8bdso+-/x7 t+ yiz s7utg raf7 jpbz 10 N/m. The object i-t g77js +x pd a /o*f7itbr3zzby+8sus 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 spry(bl(c4 s v4sting of spring constant 18 N/m, displaced slightly from its equvlcsb4t s ((y4ilibrium position, and released. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequen/ :09sbdbco+5qb*t yj. uk q/x4nzbj bcy of 1.27 Hz when displaced a distansob4 tb/*z9+k ybdj:bbx q0/ jq cnu.5ce 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 differee76 ..adtu-irii al3ont springs. Mass A vibrates with amplitude of 8.0 cm at a frequencyie.o6.di 7a rautl3 -i 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 spfigae ;8g 13mk/mg6 jcring. 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. Calculate the period off3gikgm 1;gm8ec /aj6 oscillation.

  A 0.30-kg mass is suspended on a spring9)v(j5v( k hqvjjqn(: jr fi)q. In equilibrium the mass stretches the spring 2.0 cm downward. k(i)vqnv5j9jv j( frqq: h(j)The mass is then 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 the mass strelnfb:: fft -.ctches 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 inf-:c ff:l.b tts equation of motion.

  An object in simple harmonic motion obeys them) 23,gxyz k oolcno75 following position versus time equation:7x,g2 kz ylo3)no5 cmo
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmod5 nu*c;zm)w nnic motion obeys the following position versus time equation: z)cnwmn*u5;d
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmo b6ej9 j1kwa)a7*ryhotm pv*5nic motion obeys the following position versus time equat7o*aheyj1 v5*kbtjm6a r9 p)wion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple harmonic motion v60yb lk 0n3(iqt*y mcck 7fx6vc6nu 5according to t0q 60x bt3 7cnvinv6yy kc*k c5mflu(6he 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 a force consm 17bq6h)n/e0sq kfk utant 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. (That is, the sprinfkkq61u0 s/nm 7ehbq)g 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 comp qy,g 2zwxk /4gp.:donlete swings in 8.0 s. (a) What are its frequency and period on Earth?g kwno pgyz2d/,.:4xq

  A 3.00-kg pendulum is 28.84 m long. q8vmarn-zp wp/ ) b.0gWhat is its period on Earth?

  A pendulum has a period of 2.0 s on Earth. What 3;:q *pqz tb/drbbx9nw 8dlv*is its length?

  The pendulum of a grandfather clock is 1.0 m long. What iscr nng/vgwk/ vp*q,8)y +rz-*3jazsb its period on the Ear*wpgbq avny n8c+*zks,r3 /rj)-/zgv th?

  The pendulum of a grandfather5 eicl:j1f: .avr, mhm clock is 1.0 m long. What is its period on the Moon where the acceleration duh:ael5fijvm c mr :1,.e to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attached to a mass re3))nfeqt0 bless string. When the mass is displaced slightly from its equilibrium position and released, the pendulum swings back and forth with a frequencytq) e0f)3enb r 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 consistro5 j6 p1 :w7y 1bjsewmfi,1 bvmi3v6ning of a 20-g mass has initial angular displacement of 8.0e. It oscillj bewrf567 m 1o:j6nvm131 pibv,syiwates 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 yf+pwj. w.),hrl1p b1upf; id" of a wave at a given time. The frequency of the wave is 120 Hz. What is the,r 1ulhfwp.wjiyp +;f . 1)bdp amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given )-dn x3nod8 o9 kgx 0a;qu)icf)z )fbctime. The frequency of the wave is 120 Hz. What is the wavelecu3oa xd8fobk dnci))q)f ;0 zg9xn-)ngth?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequenc8oada71* .2 i tgm2+psvr5sw+xpwbyby of the wave is 120 Hz. What is the wave speedst1wpsy*p+5.+b 2o a8ix7d2mbw grva?

  What is the frequency of a wavebhscq 19r8xobo 2sfgh-a ojv0( z-h3( which has a period of 6.00 ms?

  What is the period orgd+k 0.. hqutf a wave with a frequency of 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hwukj-m7 8:z etz and a wavelength of 3.-8zuwkj e t7m:0 m?

  What is the velocity of a wave thataw * sf4ht4o9elu2kp, has a wavelength of 3.0 m and a frequency of 12 Hfe* ta,kp9lh 244 suowz?

  What is the frequency of a 2.5 mholk d6h4p t0g4,xt 0l wave traveling at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is unpy z4vb8l1-d z,2xkdoder a tension of 1350 N. What is8vldp24y- bzxd kz,1o the wave speed?

  A string of linear density 6.0 g/m is under a tension of 180 N. +5qlr; nnu5hq What is the velocity of propagation qun q+l5 5n;hrof transverse waves along the string?

A wave whose wavelength is 0.500 m is traveling down*;ffzf sw)/uz 3rb fy7 a 500 m long wire whose total)3*f zbfffrus y7zw/; 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 tqd,nu 9b+h:byz )eu)abm/:qeransverse wave on a 2.0-m long string fixed at both ends is 200 m/s yzbmudqh buq/:e,))9ena: +b. Which one of the following is not a resonant frequency of this string?

  If a guitar string has a fundamental frequency of 500 Hz, k88qc q(1gciowhich one of the following frequencies kqcgo8 q(1ci 8can set the string into resonant vibration?

  A stretched string is observed to have four 66cholga,uc-5f ;oep) b 2xgwequal segments in a standing wave driven at a frequency of 480 Hz. What driving frequency will set up a standixhpw g o lcb-g2uo5;f6e6,ac)ng wave with five equal segments?

  A string, fixed at both ends, vibrates at a frequency of 12 Hz with a standingojymn-ncu 0515w njf9 transverse wave patterm5 jjwonn-cf n0u91y5 n containing 3 loops. What frequency is needed if the standing wave pattern is to contain 4 loops?

  A string of linear dens t 3ei1yt l/5iipjbml6(n 8fx3ity 1.5 g/m is under a tension of 20 N. What should its length be 8bf/nj5ttp13 i l3yx iel(im6if its fundamental resonance frequency is 220 Hz?

  Find the first three harmonics of a string of linear mass density 2.0lirtmf-e6z5wfz*5/ rs22 hrj 0 g/m and length 0.600 mz6zfw5js- 2e/r hit mlrf*2r5 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 vtma lcvxl fpj,z4.e 337+k1gvibrates at a frequency of 85 Hz, a standing wave with five loops is vpzm.c3 g e371,vatx kf4lj+l 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.