The time for one cycle of a periodic procesr4)+(5u84ki9l iutogr jimf bnc2h h(s is called the

  For a periodic process, the number of cycles per unit 6ctruxx1 *r2dh qrd90time is called the

  For vibrational motion, sbdlr7b +3;kql qy:l4the maximum displacement from the equilibrium point is calledl b3syk lqlb;7q+d: 4r the

  A mass on a spring undergoes SHM. When the mass is at its maximum u 0s8gterq 7i wvj), gcd(e kk7chiqr..j/ c0.displacement from equilibrium, its instantaneous vjrs wcdgu,.g0tqk 0v )e..h(creki8i7/ 7 jqcelocity

  A mass on a spring undergoes SHM. When the ma lxo k664u3g o1olmt4,o ;mzyass passes through the equilibrium position, its instantaneous vel mzmoolo3o6y;txk, u 4a4l6g 1ocity

  A mass on a spring undergoes SHM. +d/b l.xrfh w( efxarez.6x,) When the mass is at maximum displacement from equilibrium,wzxxdfexa l ,6.e+frr/. )(hb its instantaneous acceleration

  A mass is attached to a e)*m o;xtv zg0wd+kh7vertical spring and bobs up and down between points A and B. Whme0 k+; t7*zwv)dg xohere is the mass located when its kinetic energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down be gmzj415o )0yieppi10u /hpvxtween points A and B. Where is t4j1hye0p/o1pvg0u i)px m5 zihe mass located when its kinetic energy is a maximum?

  A mass is attached to a vertica*ul3 g3oifxu:l spring and bobs up and down between points A and B. Where is the mass located when its potential energy is u3iuox:f*g l3 a minimum?

  A mass is attached to a ve(:r na0xw 3xw4-gz0--rvhuh ttmu6xhrtical spring and bobs up and down between points A and B. Whx-0 6-nrvhmrtwwu4 0 z( uhx: tagx-h3ere is the mass located when its potential energy is a maximum?

  Doubling only the amplitude of a vibrating ks)txq bn +rz+5z)d fe-rkz.z47yg3qmass-and-spring system produces what e z)fr-k.z+) g 5 ntqdzzer3yx47kq+b sffect on the system's mechanical energy?

  Doubling only the mass of a vibrating );uzo,f)tg9/yo9: m nbx+t / ylnjavj mass-and-spring system produces what effect on the system's mechanical ;9 9ooyn+fnv /tbju :jly/)amx,)gzt energy?

  Doubling only the spring constant st6s g:d6buewwk/ h..of a vibrating mass-and-spring system produceshw.b6k wg6./ ut:sd es what effect on the system's mechanical energy?

  A mass oscillates on the end of a spring, both onn*f-8lyj iu x0ez12 nwdbkx(n z5 k5*o Earth and on the Moon. Where is the puknei k 8 5yl*zzxn5 jo 2n*wbfx(0-d1eriod the greatest?

  Increasing the spring constant k of a mjh9ie3i3taa2 xs:-ke ass-and-spring system causes what kind of change in the reson-xha9 i3k:e3tsjia e2ant frequency of the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-s b, fzd0xmp8v tn0;lc+bdw 9,fsrod31 pring system causes what kind of change in the resonant frequency of the system? (Assume no change in the system's spring d ;c8+lvxd ,rn10wtf zb9os,mp3dfb0 constant k.)

  Increasing the amplitude of a mass-and-spring system causes wh4 *:4omc frsp9j 0thmpat kind of change in the resonant frequency of the system? (Assume oh4pm9cp 4f*: tms0j rno 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 .x lwrzl;y74 za mass M attached to a weightless string of length L. 7ly4wzxr ;z.l For this system, when undergoing small oscillations

  When the mass of a simple pendulum isyg dwk36(pd, kmmxqya609 3p x tripled, the time required for one complete vibr x9,0m w(dy3 p 6kaqp3mgyx6kdation

  Both pendulum A and B are 3.0 m long. The peris qcjbwfr2):mv zhc zt-.hc/ 9yk(6 z9od of A is T. Pendulum A is twice as heavy as pendulum B. Whatw.b/m q6ks9-c c)v2jtf r hzzhyz9:( c is the period of B?

  When the length of a scm05d00m*ea xq, kr*h67 0zjlg xpaw5xfvj0simple pendulum is tripled, the time for one complete vibratiexcjrz0hl*0j7a6kmp5 m gfd0* xv s0a x,w50qon increases by a factor of

  What happens to a simple pendulum's frequencdl6 oci.dv f+j,(5xq cy if both its length and mass are increasec.fx5ov i(jcd,d 6+lqd?

  Simple pendulum A swings back and forth at twice th5vxgm, p;jhc- e frequency of simple pendulum B. Which statement is - cj 5p,gm;vxhcorrect?

  If you take a given pe; mk4 clzy c,s4klw)c:ndulum to the Moon, where the acceleration of gravity is less than on Earth, the resonant;wlyc4lk ck ,cz4)s :m frequency of the pendulum will

  Curve A in Fig. 11-1 re pt1eyl/t-tz6presents

  Curve B in Fig. 11-1 represg+beocum-eue)0-8f jents

  Curve C in Fig. 11-1 r tpv:abd/v3s39ebcf+2 yz4 lqepresents

  For a forced vibration, the amplitude of vibration is found to dep-woq-m.,gmi x,2wndrend on the

  In a wave, the maximum displacement of points of the wave 4bsd4o.6yv wds4qc:yfrom equilibrium is called the w :wyos d4sb.c46qd 4yvave's

  The distance between successive crefj; ;kx/e 3nwvsts on a wave is called the wave's

  The number of crests of a wave passing a point per unit time isw hms6p3(wisct 49 5sk called the wave'sw( p35 6ckih4 mst9sws

  For a wave, the frequency times the wavelength isu xl,wm7 )u-wa the wave's

  The frequency of a wavswwi+/ 9p+ wnh4v3rfw e increases. What happens to the distance between successive crests if thw +hpwi/ sr+4 f9nwvw3e speed remains constant?

  A wave moves on a string with wavelength l and frequency f. A second wave on u76,et yhe6nspn(yo, thee7uo6ye p6h,( n,tysn same string has wavelength 2l and travels with the same velocity. What is the frequency of the second wave?

  Consider a traveling wave on a string of length L, massm vzr 0;i;zw5y7o r2pt1wku c. M, and tension T. A standing wavepv .7;ok0wr2 51yw muzirz ;tc is set up. Which of the following is true?

  A string of mass m and length L is under tension T. +woeui*: i(qdc -yf4q 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 incriy-c o*:qqwu i4ed(+feased to 2m, with no change in length?

  A string of mass m and length L is under tension T. The speed of a w ol32o z7:rxovave in the string is v. What will be the speed of a woro37:oz2 lxvave 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 in the -z1zu t(( kw jjzgm5m +,vzbh-string is v. What will be the speed of a wave in -zz ktj1v z(zu(w-h gm,5bm+jthe string if the tension is increased to 2T?

  In seismology, the S wave is a tzz5;lz, vb. uteds:z 2ransverse wave. As an S wave travels through the Earth, the relative motion between the S wavz:,z vtlzd . sb2uze;5e and the particles is

  In seismology, the P wave is a longitu;3 5 ntcx-ou8 eoayg*gi j5*mldinal wave. As a P wave travels through the Earth,ie tlum3-xy5og gc8ja;** no 5 the relative motion between the P wave and the particles is

  The intensity of a wave4i pfnw+ dw6n)*vs9i2) zq ctb is

  A wave pulse traveling to the right along zsf t7:q u1ie:a thin cord reaches a discontinuity where the rope becomes thicker and heu :i7q:t1esfzavier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each otd biihy,j-sw.(7i d7wher on a string, one is traveling toward the right and the other toward the left. At -s idi w hjb(7d,7iy.wthe point that they occupy the same region of space at the same time

  Two wave pulses pass eacb5 qnce.hl0i9 h other on a string. The one traveling toward the right has a positive amplitude, while the one traveling toward the0e lbc95nqh i. 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 when 1,//dglb duzxcb7 x2r

  If one doubles the tensu9:.:kpp 12jjyamo uvx/jz1r ion in a violin string, the fundamental frequency of that string will increase b v/jjou.1kz 9ajr 21:yupm:px y a factor of

  What is the spring constant of a spring that stretches 2.00 cm when a m .u27dm:gm q6 tykmk* pryk /f9skpl*9ass of 0.600 kgf:ksy y9uk *m.rdp 92mpt7 *m6klkgq/ is suspended from it?

  A mass is attached to a spring z tyf9(/ui5tk of spring constant 60 N/m along a horizontal, frictionless surface. The spring is initially stretched by a force of t yufz5i/tk9(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 to a spring of s4v gls580(+bf nnppk fpring constant 60 N/m along a horizontal, frictionless surface. The spring is initially stretched by a force of 5.0 N npvnpb0 8 ff+5(g ks4lon 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 constant 60 N/m along a horizontalmwr5nl -yug(e/q7x+,m;ew l + 4 bmssj, 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 tg +s47(+eu - e5 mq/;slx nw,wrmmlybjo 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 througdw+snvj6ico/ gd:3-n hztz6 2h 10 complete oscillations in 5.0 s dw vz3j+z-:io6 ntdc ns/2gh6. What is the period?

  A mass vibrates back and forth from the free 3, okd8ubyyas7h;x5rio,oc4 end of an ideal spring of spring constant 20 N/m with an amplitudx, ao;7r byo3 h5siycdo ,84uke of 0.30 m. 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 op(:k pbi5ys +hd 0cvb-kllu-1f 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. What is the ( :kbksby0id-l1-pv5p uclh+total energy of the system?

  A mass undergoes SHM with ampv 8:p e+gwr*eg)gat5tlitude 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.tg eag gwp+e): rtv*85 What is the energy of the system now?

  A 0.50-kg mass is attached to a spring of spring gfh2z ghq b (w mx-+8lys-4at.b)( jwuconstant 20 N/m along a horizontal, frictionless surface. The obj )b ta4h.(fsw+-gyl-w8juz x2 bmqgh(ect 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 consty;7mgpaja * /s*q bd1of4 itm.ant 20 N/m along a horizontal, fri1daogy; .fst4 7/ im*b*pamjq ctionless surface. The object oscillates in simple harmonic motion 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 the end of a hor:rrbda843,hgitbhrd :4r l8fizontal spring of spring constant 50 N/m and set into simple harmonic mot3 4rgr,:d4b8triahlr hb8:d fion 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 spring j)7 i yrc0vtj+of spring constant 50 N/m and set into simple harmonic motion with an amplitudeyjvc j7+ )0itr of 0.10 m. What is the total mechanical energy of this system?

  A mass vibrates back and forth fromhg3 9+v3lx5) adr wwui 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 vib9d3 xgv3al h+5rwiwu)rating mass?

  The mass of a mass-and-spring system isnx o5.aq/m8wxm8g0 r39vuo)nc,xn id 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.iqnn8 3cdax ,xn)805.rwu og mxvm 9o/0 cm and then released?

  A 4.0-kg object is attached to a spring of spring const/y kr4b7-ux;hv(6dytqfs yl -ant 10 N/m. The object i 7 kluyyq--t6yfs( ;4b/rh dvxs 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 constant 10 N/m. The objeohq )8n2rb5x+j lp axg;q1eu te)(: grct is dir+ g:5ojghaeq r )q8;eu2xnl 1bpt)x(splaced 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/q*) fwqhq pv0h8n x-5ym, displaced slightly from its equilibrium position, and released.q-x yq5fw vqnh0hp)*8 What is the frequency of its vibration?

  A mass is attached to1 :tr7.bgh sdcwup9h) ;fa;fw a spring. It oscillates at a frequency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What is th1fdah)h.t :g;csw; p rf u7b9we maximum velocity attained by the mass?

  Two masses, A and B, ar pvbgv+nt9- 0fe attached to different springs. Mass A vibrates 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. Hn+b-f 9gtvvp0ow 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 th cm+3hcgp,l*-7soi r 6d:bjyoe mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm doc, 3d irmpljsc y+o6hg*b7o: -wn and released from rest. Calculate the period of oscillation.

  A 0.30-kg mass is suspended on a spring. In equilibrjqr6wm1 sy(7bl5tlk6 ium 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 rjyw6lsb65 7tqkm1 l(total energy of the system.

  A 0.30-kg mass is suspen 4hf.ci6dzsr6 ded 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 and released from rest. Write downrs .cd4hi6f6z its equation of motion.

  An object in simple hm8zzu n. rukx 52tqk75armonic motion obeys the following position versus time equation:utxm5kzunr qz27 8.5k
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the fo(9v(b4jx fpqrf4i j3 vllowing position versus time equation4(fq94jbv f3r (xj vpi:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the follow+vhrlh3t v54 /x,we*qy+s.-imsk bg ling position versus time equatio qs4+vllw,r . vs mk5h+i /3xhygetb*-n:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executem-ta6,cr:l-) vyu h8n,lhl bas simple harmonic motion according to the e-hu vna 6,hly-), b: mtl8rcalquation $y = 0.50 \; \sin (18\pi \times t)$ 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 constant of 20.0 N/m oscillat-ry .eitmh g91es on a horizontal, frictionless track. At t= 0, the mass is released from rest at x= 10.0 cm. (That is, the spr1rt.img-h y 9eing 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 arexf c (6p mlpv++8q8wb*+wzb8njrg5;zlg i hj) its frequency and period on Earfr;+m8 qijwgv8p5bz +p(bz*hl nl )8 cw+6xgjth?

  A 3.00-kg pendulum is 28.84 m long. What is its n5gn/ p+ g)a ;teq2ewf1jy 9ahperiod on Earth?

  A pendulum has a period of 2.0 s on Eart6up,o tax/ v* t0vgnb+h. What is its length?

  The pendulum of a grandfather clock is 1.0 m long3pmtm7wsjp fl5bdz j/53;.fv . What is its period on the Earth vst j djz73.;mm3 pbl5/f5fpw?

  The pendulum of a grandfather clock is 1.0 m long. What is its period on thesf 8 3)lkaf;ez Moon wher kzf)e3;fls8a e the acceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0p)0sw 9otq2tgu/y u) b.25-kg spherical mass attached to a massless string. When 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 wou2twb)0/p u)ot9 gqy suld have resulted if a 0.50-kg mass (same diameter sphere) had been attached to the string instead?

A simple pendulum consisting of a, 5*yf6pl.cdcy: k(;y-foyhzr mpm :g 20-g mass has initial angular displacement of 8.0e.fmdf6*5g h,y;ycrm. oyzp:c - l:p(yk It oscillates 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. The frecy;7t scmyx 7tpu0 4p 3;lyat/quency of the wave is 120 Hz. What is the 3y 7t;74/x0myuptay ;sct pclamplitude?

  Figure 11-2 is a "snapshot" of a wave at a given tim 6r ix+cfjvkise 3xkc*l12j31e. The frequency of the wave is 120 Hz. What is the w36xkcc 3j rlskj i*1 2+ev1ixfavelength?

  Figure 11-2 is a "snapshot" of a wave at a given time vnxekaj 4/:7l. The frequency of the wave is 120 Hz. What is the wa7e4 naj kx/l:vve speed?

  What is the frequency of a wa)iu6 g4-ip ) ibusb9isve which has a period of 6.00 ms?

  What is the period ofx / (hmx/ov5qm a wave with a frequency of 1500 Hz?

  What is the wave speed ygh+9 e1ewv oxs4d.,fif a wave has a frequency of 12 Hz and a wavelength of 3.0 m?4w eovdge9f y h.,+s1x

  What is the velocity of a wave that has a wf;g llqk o,+xkv**z) fw69s,n gbnbp ;avelength of 3.0 m and a frequency of v,)bpzbnxls6*k g+*kgnlwf ;,;qfo 9 12 Hz?

  What is the frequency of a 2.5 m ip6gx hlh3) 5 vea1*ubcior,*wave traveling at 1400 m/s?

  A piano string of linear mass densj tl9tm;kv-)bity 0.0050 kg/m is under a tension of 1350 N. What is the wave speed? -jtmv)b;t 9lk

  A string of linear density 6.0 g/m is under a tension o:pnwx318 /zul: acy:b dudi d,f 180 N. What is the velocity of propagation of transverse waves alon iwnyz/ d u:p8dcd,1 b3xl:au:g the string?

A wave whose waveleng5owrqa8+a7 c)nr,s vsvhj 3dpk++l ) hth is 0.500 m is traveling down a 500 m long wire whose total mass l+h +p)sco kvvrna )aqd5 7sj+hr38,w 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 2.0qq n8ba ;17pyri8is/v b5fa5p -m long string fixed at both ends is 200 m/s. Which one of the following is not a resonant frequency of thif8 isn18yqp5;i 57aaqp bvb/rs string?

  If a guitar string has a fundamental frequesn(dwd: 5 rzg7ncy of 500 Hz, which one of the following frequencies can setnw zs7(5:rgdd the string into resonant vibration?

  A stretched string is observed to have foun srfln009am 1r equal segments in a standing wave driven at a frequency of 48n9r0 nmal01sf 0 Hz. What driving frequency will set up a standing wave with five equal segments?

  A string, fixed at both ends, vibrates at a frequency of 12 Hz with a staa*6 yu crmdo6ah013r tnding transverse wave pattern containing 3 loops. What frequency is needed if the standing wave pattern is to contadayurt0 6h r6 co3ma*1in 4 loops?

  A string of linear density 1.5 g/m is under a tension of 20 N. What should its c+2e iu qkjd(3nzil u/ hd3.rgz(an2;leec(q2z3.+;(nkngdaii2 huzud3lr j/ ngth be if its fundamental resonance frequency is 220 Hz?

  Find the first three harmonics of a string of rnor:0lw( aht(5 qhi3linear mass density 2.00 g/m and le(5tonr:q hr03( laiwh ngth 0.600 m when it is subjected to tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. When t qutfdue;i) -x(rg3e7he string vibrates at a frequen7;uxu( 3fe g)iq -tdrecy of 85 Hz, a 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.