The time for one cycle of a periodic process is cms+e9+lp 9 vmn7*v dvfm+qkz,zfi;e 8alled the

  For a periodic process, the 4kswbisb ,7s7 fl+( vnnumber of cycles per unit time is called the

  For vibrational motion, the2 ifj6yv:j.- -z/( f ojnkpzsi maximum displacement from the equilibrium point is callef izzf/v.pjk2(:os-j-nyi 6 j d the

  A mass on a spring undergoes SHM. When the mass is at itmr n f686r;rs-dy+rjhs maximum displacement from equilibrium, its instantaneous veh;8n- r6j dsm6r +rfyrlocity

  A mass on a spring undergoes SHM. When the mass passes through theo5)8q(koxn 7 o /pkurf equilibrium position, its instantaneous velocko5 8/xpufo(qk r )n7oity

  A mass on a spring undergoes SHM. When the mass is at mscbgr 9k,oy 59*1bzh -ez;dizaximum displacement from e9dzk19 zgb*re;-hbco,iz 5 ysquilibrium, its instantaneous acceleration

  A mass is attached to a vertical s:y.a/ oi/(txcav5 n/b;bi p ocpring and bobs up and down between points A and B. Where is the mass located .:c5ptc( /oib;ib a/na/x yvo when its kinetic energy is a minimum?

  A mass is attached to a vertical sprpzhu/57 fx3nliq2 dehyrd (z4p.v e;7 ing and bobs up and down between points A and B. Where is the mass located when its kinetic energy is2/xypp h7 h5lv;nq7 zfe i.edd3z4ur( a maximum?

  A mass is attached to a vertical sp:ml7ry +* f6jgke mu7ering and bobs up and down between points A and B. Where is the mass located yl:j7um e7gr* + km6fewhen its potential energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down between pointsymy .iwy)(*yr9,k)ia e* n mgqwy3,ee A and B. Where is the mass located when its potential ener, gye r w3a9)y*y.(kwiyyqm)*im e ,negy is a maximum?

  Doubling only the amplitude of a vibrajga9kog hn:ea.2 b9fauq, 0h8 wm)jl:ting mass-and-spring system produces what effect on the system's mechanical energy:) ja.8n m0lbg,h go 2qa9e:uw 9fjkha?

  Doubling only the mas 1v28 bkk;oznjs of a vibrating mass-and-spring system produces what effect on the system's mechanical energyn 8kz;ov1k2jb?

  Doubling only the spring constant of a p(y4kylshz +:vibrating mass-and-spring system produces what effect on the systeh( +kpsl:yy4zm's mechanical energy?

  A mass oscillates on the end of a spring, both/72jujxh m ckplh9 50o on Earth and on the Moon. Where is th h9k2cj 5mx/7ohlj0pue period the greatest?

  Increasing the spring constant k of a masa(ki zz:c)gz +p;pt;uigg1 ; vqfeo1-s-and-spring system causes what kind of change in the resonant frequency offg ;;+o vi;zzpzt(1 gg)k1uc q -ai:pe the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring shtwr:p/wpai (qt t )08ystem causes what kind of change in the resonant frequency of the system? (Assume no change in the system: p(h08aip/)qtt wr wt's spring constant k.)

  Increasing the amplitude of a mass-and-spring system causes what kindmkr3:: jxempc35 nfgmnu / 3ly8(7uwd of change in the resonant frequency of the system? (Assumem7r5mwf3 ejpu/d ml(kn33 nc y gu::8x 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 weightless string ofm;v((sb)y gqe)k v:zl length L. For this system, when (vs mg kzqvy(l;:b))eundergoing small oscillations

  When the mass of a simple pendulum is tripled, the time required for one i2z ir/z/2e)sm3 l/-aums 1zd-rr hpncomplete v/ h2rpmi2r-lun/a/ez-mzr)3d s s zi1ibration

  Both pendulum A and B are 3.0 m long. Thelrfk2 / pt xst,5g2q*y period of A is T. Pendulum A is twice as heavy as pendulum B. What is thepsgf *kt/, 2xqlyr25t period of B?

  When the length of a simple pendulum is tripled, the timbx z:,d()w mqye for one complete vibration increases by a fact wzy:xqb)(dm ,or of

  What happens to a simple pendulumdac x )0u83e8kxs 7wmz's frequency if both its length and mass are increasxa73dku88)e0 zxc wmsed?

  Simple pendulum A swings back and forth at twice the frequency of simple pend2x7*x 5)nwenf u*lngke tw50vulum B. Which statement iegk5nu*l5wfx 2 ntvex70 w*)ns correct?

  If you take a given pendulum to the Moon, where the7h(f ,e1 dvzst acceleration of gravity is less than on Earth, the resonant frequencyze (shtv,17df of the pendulum will

  Curve A in Fig. 11-1 repreo6mwj. y8+ ybs*spc5m+9 ut ppsents

  Curve B in Fig. 11-1 represen89n8(k*bw gbbsg)la)64cu r-ua ussxm d -*emts

  Curve C in Fig. 11-1 5ik 7 ccjb lux;m*0ups m zkc16z1(:qbrepresents

  For a forced vibration, the amplitude of vibration is found to depend on theqw) (/tza*ru3u c1eub

  In a wave, the maximum displacement of points of the*chg)vyi,yr4b :hqhso7v3u , wave from equilibrium is called yghvbh ,ry437 voch)s*:u q,i the wave's

  The distance between successive crests on lt+xzk abx*/y1c ( d-ba wave is called the wave's

  The number of crests of a wave passing a point per unit time is called the tmrioh)1ohezt * +;n 7wave'nhmorz +)h ;tot *i7e1s

  For a wave, the frequency times the wavelefvyx ,/g/ixrqb0)) b dngth is the wave's

  The frequency of a wave increases. What happens to the distance between su,w *sfpy2q1cpwgt/v,ccessive crestq2,wpwg1t*y cv /fps,s if the speed remains constant?

  A wave moves on a st 3zm-jg,w5n k21t jddlring with wavelength l and frequency f. A second wave on the same string has wavelengthmn d,3jwzgjt-k5 d12l 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, mass M, and tension cr4zu pcl 55 mlt7we3* opn:9nT. A standing wavoz :u59w c4 plt*pern 5m73clne is set up. Which of the following is true?

  A string of mass m and length L is under tension T. The speed of a wave ib5 6ui 0hh;kidujnjv.(:)x: unbs ze0n the string is v. What will be the speed of a wave in u0is kjb;hj)i(z6 .dv u5 x0ehnn:b:uthe string if the mass of the string is increased to 2m, with no change in length?

  A string of mass m and length L is ubeu72wk/ ye5c+4wmbknder tension T. The speed of a wave in the string is v. ck b ke5wbm+2weu47 y/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 tensioa+ tx5 syjb34vn T. The speed of a wave in the string is v. What will be the speed of a wave in the 5t3a jxbv s+y4string if the tension is increased to 2T?

  In seismology, the S wave is a transverse wave. As an Sqf)sy/(ut o *2 ukw+--yjti1at gz;lu wave travels through the Earth, the relative motion between the S wave and the parti*t;qtt ky -(uuz2jfa)osy-1 w+i/glu cles is

  In seismology, the P wave is a longitudinal wave. As a P wave travels tl2vgp d(9 ytlspcirzo: 8 :,8bhrough the Earth, the relative motion between the P wave and toz2: v8lb8ip9rd :gl(c, sypthe particles is

  The intensity of a wavrn2pdexe93jvev151 w e is

  A wave pulse traveling to tha e(a5nv3cux*e right along a thin cord reaches a discontinuity where the rucaen* 5ax (v3ope becomes thicker and heavier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal posihx s2z .5z2b+fb ezv;ftive amplitudes pass each other on a string, one is traveling toward the right and the other toward the left. At the poinxzf;2zv h +.52z sebbft that they occupy the same region of space at the same time

  Two wave pulses pass each other on a string. The one trave; u:ra qimv 7ik1fx+h1:ab e0sling toward the right has a positive 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 a1rx i7i:1uhm+b aeavskf 0:q; t the same time

  Resonance in a system, such as a string fixed at both xdc:a d; f)8opends, occurs when

  If one doubles the tension in a violin string, 2 pavtj,dsz,; oh79-nwivh -i the fundamental frequency of that string will incr-j ht7shn-o ,iai2v p,dzwv9 ;ease by a factor of

  What is the spring constant of a spring that rxig;oc5u *u7stretches 2.00 cm when a mass of 0.600 kg is suspended fro;*g x7ucri5uom it?

  A mass is attached to a spring deiizv5 pgj c:-vu8 t)w82l4nof spring constant 60 N/m along a horizontal, frictionless s4di w uvl8pzei2jc )gtv -58:nurface. 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 amplitude?

  A mass is attached to an8k1vr.e2)omq r ps 5b 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 pos2 1p5o)r bmr.qs kvn8eition when it is oscillating. What is the period of oscillation?

  A mass is attached to a spring of spring 7:ef+pca+tk y 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. What is the frecfa7kp: ++t eyquency of oscillation?

  A mass on a spring u.9n: sqq et;w x(ntqbam 7yw+3ndergoes SHM. It goes through 10 complete oscillations in 5.0 s. What is the period?s:(mwe nt x3qnq+t;7.yqwab9

  A mass vibrates back and f):t jlcl6ep db6wpnw5 *s ontmo y;))+orth 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 0.30w;)5ljtnmop66 tl *p:w o yd )ce+bs)n m from its equilibrium position?

  A 0.50-kg mass is attached to ayd3d ,wdr l idy3i*5*g 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. What is the total eneydid w l *,rg3i5yd3d*rgy of the system?

  A mass undergoes SHM with amplitude of 4 c: p77vs 1hu0c4j:b5pqxjvv3xb qq;zem. 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 bjq3:xe vz1 psjcvq;vu:7x7bp54hq0 cm. What is the energy of the system now?

  A 0.50-kg mass is attached to g2 k -l7pooah)+ 1m3janrvc4qa spring of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a spo+1m3)jk- vc p oglaarq4n7h2eed 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 sprinuv:pjx d-yv.ji;u fg9 wy:29hg 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. A9-:d .2wjyp:vugv9i;u hjyf x t what location are the kinetic energy and the potential energy the same?

  A 2.0-kg mass is attached to the end of a horizontal spring of spring constant 568gk r /x(; u n,rah z1dj9n-*ldldakk0 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the total mechanical energkrl a1;xl zdukah/-g, 8 kd nj9n*(d6ry of this system?

  A 2.0-kg mass is attached to the end of a horizont l/jg7f, f)hqh0x4wj zal spring of spring constant 50 N/m and set into simple harmonic motion with an amplitude )zxfg jfwj74, h0/hqlof 0.10 m. What is the total mechanical energy of this system?

  A mass vibrates back and forth from the free end g tv-6dwia:h- of an ideal spring of spring constant 20.0 N/m with an amplitude ofw i-d ah-6gtv: 0.250 m. What is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-a: *l*ht/k5;v)rd ktuwei pq9 ynd-spring system is displaced 10 cm from its equilibrium position and released. A frequency of 4.0 Hzy:i ehd)5;kv l r*/9pqt*kuwt is observed. What frequency 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 constantp1a ;y;bf;cyx 10 N/m. The object isf1 cyx;;ya; pb 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 object o8n65wajqe pfq+,b2 vis displbf5vqq8j p,ao6e2 +nwaced 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, di (chlf fope2lr55 qln q1)/g5hsplaced slightly from its equilibrium posie c )l2nr 1hq5f5oflq(5hg/lption, and released. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequency of 1.27 Hz wd e 3slm-8i78at. evcptd7- bh xr93z5bki *cxhen displaced a distance of 2.0 cm from equilibrium and released. What is the maxd.3tz7 b7l ms kehvced3-* i8p -8c9rxatix b5imum velocity attained by the mass?

  Two masses, A and B, are attached v4ux1v.4c1zrlhev focb +6ju5 j2xc/ to different springs. Mass A vibrates with amplitude of 8.0 xxcveo4jl5jcu2/ v1bh 1c zu+r.4f v6cm 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 suspend+p0p re y3ijncyt 93/bed on a spring. In equilibrium the mass stretches the spring 2.0 cm downward. The ipy /tb3e3j+9cynr 0pmass is then pulled 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. In equilibrium tk 0f/n2 rxz9;3v:mt,dg wegdd)aczz(he mass stretches the spring 2.0 cm downwavxz/er, tk( ;2:wgd nz3)famdg 0d9zcrd. 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 suspen 3m(z :ftiuwa1.+cc;jdxv z; cded 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. ; jxc: f+m w duvi(.a;czz3c1tWrite down its equation of motion.

  An object in simple harmonic motion obeys the following position versusvr ia.,k2bdq, time equation2,,diq.abk rv :
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obo7h0qxz pej6 .eys the following position versus time equation:6oxzje q 7hp.0
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion z xf:;-viua2fobeys the following position versus time equa-u i2:afzx v;ftion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple harmonic motiq -px:p 8el 3 *49etpfevjsb-ton according to the 8 x:sl 9tf-tq3 p4*pee evjbp-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 fov as5mgz2 z9de 1.1mhurce constant of 20.0 N/m oscillates on ugm 1hezz9d.a1sv52 ma horizontal, frictionless track. 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 sw 1824z; cit e8 hmobvudd2qo:jings in 8.0 s. (a) What are its frequency and period on Earth48dvdzq1 bcj 2uh:82 ;tiomoe ?

  A 3.00-kg pendulum is 28.84 m long. What is its perij5i f1o 0sd7hiod on Earth?

  A pendulum has a period npk; :kmh4/pt of 2.0 s on Earth. What is its length?

  The pendulum of a grano 8a8 sm*.voo 7ohk2evdfather clock is 1.0 m long. What is its period on the Ears7aokev o 8m*.oo hv28th?

  The pendulum of a grandfather clock .q*dle,;sws 6 9b5d z+nrq/pmy rqw8qis 1.0 m long. What is its period on the Moon where the acceleration due8w 9 rq,6m;rs qp5n+qyz.b dld s*wq/e to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attached to a massl9b7y ;ke+z(zy4slyt less string. When the mass is displaced slightly from its equilibrium position as9zz4 kl by elyy;(7t+nd 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 ia.duib:v v p,9nitial angular displacement of 8.0e. It oscillates with a period of 3.00pd: i9,bv av.u 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 freq5ybyv.y+( zk- .6uzt.b ypawfuency of the wave is 120 Hz. What is the amplitude? 5 z.b(y.yy 6tvfbuz-p+k w ya.

  Figure 11-2 is a "snapshot" of a wave at a p xkd wtrk 78;4vw0/klgiven time. The frequency of the wave is 120 Hz. What is the wavelenw kv7;pktdwx08kr/ l 4gth?

  Figure 11-2 is a "snapshot" of a wave at a givenwei 0zib*;leu5 pj :pwlkn imo510 27b time. The frequency of the wave is 120 Hz. What b0ijw ;*ozie:521 ulp7k mwpei5nlb0is the wave speed?

  What is the frequency of a wave which has a 28 cggsn /q8/fmalt/s period of 6.00 ms?

  What is the period of a wave with a frequeiak:x0qep :p: ncy of 1500 Hz?

  What is the wave speed if a wave has a frequejqrwd.x0ya3mliyx: pw(j25 5,brj+ancy of 12 Hz and a wavelength of 3.x55 j,0a+ :irj2wpwqyl3xydj(a.br m 0 m?

  What is the velocity of a (ya1 ao2 5lzhpwave that has a wavelength of 3.0 m and a frequency ofah12 zol(p5 ya 12 Hz?

  What is the frequency of a 2.5 m wave traveling at 1400 m/szy i: cbsuytm2-gv40:?

  A piano string of linear mass density 0.0050 kg/m is under a tension .n * ;t1nkk t/maff feixr n 7xn-gvi7*+u*h;hof 1350 N. What is the wave f rkht annm i u*th1ef+-.in;;v*n/77gxk x*fspeed?

  A string of linear density 6.0 g/m is under a tension of +dmd jgzb ,b)9180 N. What is the velocity of propagation of dm, b)gzj+db9transverse waves along the string?

A wave whose wavelength is 0.500 m is traveling down a 500 m long wire whose1c5p-svsk 9:i8 k 4xw8e6icj5yfyxxn tota58vsie6xf: cykyx1 j9sn w- 5ck8ixp4 l 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 prop+ymvd o:e 58ilagation of a transverse wave on a 2.0-m long string fixed at both ends is 200 m/s. Which one of the following is not l mev 5d8+y:oia resonant frequency of this string?

  If a guitar string has a fundamental frequency of 500 Hz, which ones*3k d xb0xty. of the following frequencies can set the string ibtk0xsx*y.3 dnto resonant vibration?

  A stretched string is observed to have four equal segments in a s4c,(hxe zvuno3vp h9.tanding wave driven at a frequencz,4vvhn3phoe9 (xu .cy of 480 Hz. What driving frequency will set up a standing wave with five equal segments?

  A string, fixed at both ends, vibrates at ay ac84p x9:m l7zvoo4losc1w . frequency of 12 Hz with a standing transverse wave patt osy 49m oz8pw4clx:v.aco1l7ern containing 3 loops. What frequency is needed if the standing wave pattern is to contain 4 loops?

  A string of linear density 1.5 g/m is under a tension of 20 N gt2n2 tw4m+nxan2tt/pwq,b0 . What should its length betwn2b,/x mnt4+q02 gpn2t a wt if its fundamental resonance frequency is 220 Hz?

  Find the first three harmonics xk2 o+cbsyy t 3:jmclzmz;+e8diu9. -of a string of linear mass density 2.00 g/m and length 0.600 m when it z9ei+bou.2jkcc 3 :8sxly; ym-z+d tmis subjected to tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. When the s 54h,iatex1t 2 wdj+jotring vibrates at a frequency of 85 whj ox2+ie1adt, j54 tHz, 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.