The time for one cycle of a pe77h t q qfgnsp;+*r3 az)1wajariodic process is called the

  For a periodic process, the number of ;s93 k)me6f.ko rxu jicycles per unit time is called the

  For vibrational motion, the maximum displacement fxf ky)l23s3n from the equilibrium point is calleyx) nfskfl 323d the

  A mass on a spring undergoes SHM. When the mass is at its maximum displa x7(5;2dg0 jq ffumdkycement from equilibrium, jfgdfuk y 5m2x7(d0;qits instantaneous velocity

  A mass on a spring undergoes SHM. When the mass passes q9cloualt+r:))l8rvs z/k ;,pzu:y s through the equilibrium position+)l9,ktsucp/l 8vlz;or:r uz)yaq :s, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass is at maximum displa ib3 mxn77ed 36srbbw*cement from eq7ib 33*swbm6nx erdb7uilibrium, its instantaneous acceleration

  A mass is attached to a vertical spring and bobs up and down bet92 ib c1 f8)qgmn*yzwtween points A and B. Where is the mass located when its kinetic energy is a iz2)gntyq*bc19 8mfw minimum?

  A mass is attached to a / i junf1-v,eo0vc93l x:v rhhvertical spring and bobs up and down between points A and B. Where is the mass located when its kivvxru/ co f9ljh,1: hn3i0-venetic energy is a maximum?

  A mass is attached to a vertical sprq yeh.r a8lm2p 5og+c0ing and bobs up and down between points A and B. Where is the mass locatecl 8.20pmer5y+h q oagd when its potential energy is a minimum?

  A mass is attached to a vertical spring and bobs u.qwd 7ppu8p*gy m,h 6tp and down between points A and B. Wq8pp p u*6hwd,mgy7.t here is the mass located when its potential energy is a maximum?

  Doubling only the amplitude of a) i 4cffy84ydaa ,cpu)ictl7:/isa 6d vibrating mass-and-spring system produces what eaiay74,yfs l iu :/c6a8fcdpd4i ) )ctffect on the system's mechanical energy?

  Doubling only the mass of a vibrating mass-and-spring system produegpfa/i) ia7)+oqv)bi jq/t 0ces what effect on the system')q0i+ago)tiiaqvbe7/) pj/fs mechanical energy?

  Doubling only the spring constant of a vibrating mass-and-wwpx/ vh/k9/ qspring system produces what effe/v/wp wh 9k/xqct on the system's mechanical energy?

  A mass oscillates on the end of a spring, both on Earth and on the Moon. Wheje h,psksx c m.4::uu8bur )k.re is thus k.8u sjr.: hpkc:,)ume4bxe period the greatest?

  Increasing the spring constant k of a mass-and-spring system causes what k ;9m2ky2 *gzr- ptwzf0na2sy vind of change in the resonant frequency of the system? (Assume no chk0f2nap t mrz;9z -s2 w*gvy2yange in the system's mass m.)

  Increasing the mass M fm7 :b)bta,:- xsohzrwnml :8of a mass-and-spring system causes what kind of change in the resonant frequency of the:whol:m sb:z,7 nrxa mt8)-f b system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring syst/ujba o1h)up5mil b. 7em causes what kind of change in the resonant frequency of theab. jou 7hbi1/ump l)5 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 w./ae1 h o,s-vvdvs as/eightless string of length L. For this system, when undergoing s,/vo vv hs.as1d-sae/mall oscillations

  When the mass of a simple pendul -hkw8fz 8;qb;m*hb-x +bng ntum is tripled, the time required for one complet+ z-gnf*bm8x;- ;w kbhn8h qtbe vibration

  Both pendulum A and B are 3.0 m lpzqm5 n(3ipz+c( t+i y;d-nxkong. The period of A is T. Pendulum A is twice as heavy as pendul t dnkc+mz+ i(;py53zx(qi -npum B. What is the period of B?

  When the length of a simple pendulum is tripled, the time for one complete vibrahk*n qtq8l z9gvp4n0.p e);fution increases by ahltfnp0;4*gq.8 pve 9nqu)z k factor of

  What happens to a simple pendulum's frequency if both its length and mass arep + k86u ls);eq 4amv)teeaap4 in v8k4maeaqpt;4) l+sepau6 ) ecreased?

  Simple pendulum A swingey.cz ep, f lq,k+y)3ka9radc:l/ghn;n v(f ( s back and forth at twice the frequency of simple pendulum B. W.cyga l)eey3qk/f ;dnczn +hkp(av: 9, ,frl(hich statement is correct?

  If you take a given pendulum to the Moon, where the acceleration of gravity is le zafqft4jy4y 0;1k/ jest0qjjy1f /az4;ky4 ef s than on Earth, the resonant frequency of the pendulum will

  Curve A in Fig. 11-1 representp1dw e p+d*r7 ,pll+lvs

  Curve B in Fig. 11-1 repr0p7w r(51y wzyxti*teesents

  Curve C in Fig. 11-1 represp5mjf innmiqsj0ox vk73 in 4d,h6d+;ne4+0sents

  For a forced vibration, the amplitude of)4 fr vbyf r-g9cka :o5jsti(g2+;wix vibration is found to depend on the

  In a wave, the maximum displacement of points of the wa 4mgmeih s1n;sqe +,iw igk0);ve from equilibrium is callei,)eqm 1 h+k;gmwsis0g n4i;ed the wave's

  The distance between successive crests on a wave is called the +u.yim):i-b ajntwayfi5/ *s wave's

  The number of crests of a wave passing a point pu-y,*q3e b wgber unit time is called the wave'b -g*que,w3yb s

  For a wave, the frequency times the wavelength is the wave's urs0 /;9z( 2ce*)rwvu 8firc6qt wy-fx yv8gm

  The frequency of a wave incre.xwn,b4(ig w lases. What happens to the distance between successive crests if the speed remain. wb4 w,l(xgnis constant?

  A wave moves on a string with wavelength l and frequency f. A secondra aptc8x4*q l /+fbg) wave on the same string has wavelength 2l anxg*f/8pla4rta qbc+) d travels with the same velocity. What is the frequency of the second wave?

  Consider a traveling wave on a string of length Li 2rgec1a-0ns , mass M, and tension T. A standing wave is set up. Which of the following is ae1 gr-ci2s0ntrue?

  A string of mass m and length L is under tension T. The speed of a wavej8mh-xtzy9b3z+f x n * in the string is v. What will zm+*3ht 8fn byxxz9 j-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 length L is under tension T. The speed of a wave -l ,m08k pzm0o vgcj1j+ kwi4hin the string is v. What will be the speed ofwc8-koz+vm ijp,10h k gjm0l4 a wave in the string if the length is increased to 2L, with no change in mass?

  A string of mass m a3 xtlta7 x0lrqyy36z+ nd length L is under tension T. The speed of a wave in the string is v. What will be3ql 3zrx lt+xy6yt0 7a the speed of a wave in the string if the tension is increased to 2T?

  In seismology, the S wave is a tr) li+:,jzen kh;hx7buansverse wave. As an S wave travels through the Earth, the relative motion betweexhi;7), nzh l:ke+bujn the S wave and the particles is

  In seismology, the P wave is a longitudinal wave. As a P wave tras;w4+l2mzi.q b * cicrvels through the Earth, the relative motion between the P wave and the particlemzir *scc.i +4lwbq ;2s is

  The intensity of a wave isy 9e vf(j di+eog0h.0a

  A wave pulse traveling to the right along a thin cord reaches a dii7mh.w/z5 e( uhasl ;f9 p5luwscontinuity where the ;wp9(ziula/su5 hh 5wef 7.mlrope becomes thicker and heavier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each other on a strin;w:5va zo. dg mf-w 5smc/:vyvg, one is traveling toward the 5v:azwodgvf vw5 m .:c-;/sym right 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. The one traveling toward the rignmxv5z/p b8 *7 (iulxdht has a positive 5 ( /ubz7 nxixvdm8pl*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 endsep jyse 9 mp1up+*(bi t+))kzt, occurs when

  If one doubles the tension in a vioef jnt*5 -xbf9lin string, the fundamental frequency of that string will increase by a fa- jt9f 5e*nbxfctor of

  What is the spring constant of a sp0bkx(q8ld 4) ho8dmli4 b3i3nej7ffering that stretches 2.00 cm when a mass of 0.600 kg is sbkdj3q8fnhx70i oe4 dbf(e8i4m)l3luspended from it?

  A mass is attached to a spring of spring constant 60 N/m along a horizoa l gd-lq3-e1+o:hlz3evl q)qntal, 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 ilo)1e 3 qlh+-ve dl-qq:za3glts 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 horizonta--uyo q 4:u4/m o*lk/ :yi* cdbdadbtal, frictionless surface. The spring is initially stretched by a force of 5.0 N on the mass and let go. It 4d4tk:dylq-a:-coib*/m/ uay du o*b 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 tr vuob7va/ u 6k1;6zyko 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. What isabk/y61 u rkuvzv7 ;6o the frequency of oscillation?

  A mass on a spring undergoes SHM. It goes through 10 complet: ng,1bh7(jnxp: vq tte oscillations in 5.0 s. What is tbv1j:pht xg:,q7t n(n he period?

  A mass vibrates back and forth from the free end of an ideal spring of spring 2j;a6rvy:pv+sso *t uconstant 20 N/m with an amplitude of 0.30 m. What is thevs pr*+ovjut 2:as 6;y 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 sprig;cf2c*pqedsu v 5s 8,1o )7tw*qua krng 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 posw)u2 1 agpvqs;,uoqc8tf7s5*kcdr* eition. What is the total energy of the system?

  A mass undergoes SHM with amplitude of 4 cm. The energy is 8.0 J at th ye+c1 2wq5frrd9j/ui is time. The mass is cut in half, and the sysfdqy r1/9w2+5eju r citem is again set in motion with amplitude 4.0 cm. What is the energy of the system now?

  A 0.50-kg mass is attached to a sp +3+-yzaacbcy23m xj,t(lg fkring of spring constant 20 N/m along a horizontal, frictionless surface. The obfm yykjtl++2xz, 33accg ba- (ject 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 (n tg2zbsq2 m6to 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. At what locatio(6 sg 2ntzbmq2n are the kinetic energy and the potential energy the same?

  A 2.0-kg mass is attached to the end of a horizontal qjzhomrn8j)l;na0xh-,u h..spring of spring constant 50 N/m and set into simple harmonic motio .l;qn mu)nzjh,r aj.0ho8xh-n 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 of spring cons jm9isjz.wy.0p( nr 9rtant 50 N/m and set into simple harm9.ws mp0 n9.iyjjrr(zonic motion 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 end of an ideal spring of spr5, y q8jc.s5ab+tepsp ing constant 20.0 N/m with an amplitude of 0.2bj5,.qcpta e5psys8+ 50 m. What is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring system is displaced 10 cm from 6wat 9 fr*lcd idgkh hq3wk*2pkw8)--its equilibrium position and released. A frequency of 4.0 Hz is observed. What frequency would be observed if the mass had beh-k9l6fg3rph8w*dwdi cw kka - *)q2ten displaced only 5.0 cm and then released?

  A 4.0-kg object is attached to a spring o5er8d6q a vi)bf spring constant 10 N/m. The object is displaced b56qbre id)a8 vy
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 consta qu4;zh qiamj+4d,au: nt 10 N/m. The object is disahi:uj4 , mdq4z+auq ;placed 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, displaced slightl 6wchl:q3 a/ygy from its equilibrium position, and released. What is the freque ql/:6y 3cwgahncy of its vibration?

  A mass is attached to 8idob4m 4qoc *a spring. It oscillates at a frequency of 1.27 Hz when displaced a distanc8m*c o44ibd qoe 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 different springs. Mass A vibrates -jc.t/exem bz5a47vo6lk1fewith amplitude of 8.0 cm at a frequency of 10 Hz and mass B vibrates - 4oe6elc evtz7x /a 5bfjk.m1with 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 equilib1jngw0i n/:w ljx.aw3 rium 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. Calcu3jj0i 1w.lng:xww a n/late the period of oscillation.

  A 0.30-kg mass is suspended on a spring. In equilibried y9jva6(eec6zv ml 5pf/*6aum the mass stretches the spring 2.0 cm downward. The mass ae6*v6p6je mzl/vc9a (fyd e5is 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 susp0t juialc* xm9 mq70;u+ctr8 fended on a spring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distanc 7;0ctqfrm0ct9mu 8ailju+ *xe of 1.0 cm down and released from rest. Write down its equation of motion.

  An object in simple harmonic motion obeysjhp xji ob.k2)u.qt s,h62-pj the following position versus time equations),ku ijoj.xqp h6 jb t22-.hp:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following pb3d fb;qnfzhs ehv+-(bex/y 7(2m 9bwosition versus time equat h;q+3xv/bbsfnw(d e9 zy2e-7hbfmb(ion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motio;4 ub; qcxymr5n obeys the following position versus time equatio4yx;;q 5mubrcn:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a sprouu1 l( )pg ;o)u0gxuving executes simple harmonic motion according to t ;ovp1)x0ugulu (guo )he 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 constant ozl*ou- ib /;zcjy .:vuf 20.0 N/m oscillates on a horizontal, frictionlessliu vc. z-b/ zu:*yj;o 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 swings in 8.0 s. (a)2nyt9o8k w *vmg0 -pdn What are its frequency and pe98wv*mgonn- 0d 2ptykriod on Earth?

  A 3.00-kg pendulum is 28.84 m long. -/ :va.zkl i2pollm1u What is its period on Earth?

  A pendulum has a per0m op0b/b( mgyiod of 2.0 s on Earth. What is its length?

  The pendulum of a grandfather clock is 1.0 m long. Wha 4a:grv2s(q*0 lloil aaff-9qt is its period on the Eartrl 9*sivf2l-fa l4a(:gq a 0qoh?

  The pendulum of a grandfather clock is 1.0 m long. What is its periodn .w8a war:p12,p ibmuhxz4+j on the Moon where the acceleration dbau :2+rh a8zi14w.pnmxp,j wue to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg,a/f6lkb. bpite;8 oo spherical mass attached to a massless string. When the mass is displaced slightly from its equilibriu/ibbk.o;a f etp8lo, 6m 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 has iniba r18rs:zwm1/cs0f f tial angular displacement of 8.0e. It oscillaz 1a8b/wf0s sf crrm1:tes 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 go2y/ce 4yqjb(m1 nmc8 iven time. The frequency of the wave is 120 Hz. Whaje/ obcc8mn q(y 241ymt is the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency of0qte 7rfry*7euc,1ip the wave is 120 Hz. What i1frq77ri0 *ut,c ey eps the wavelength?

  Figure 11-2 is a "snapshot" of a( w u0k iy(f,k*/bqkkq wave at a given time. The frequency of the wave is 120 H ikq , (*kuq/k(bkfw0yz. What is the wave speed?

  What is the frequency of a wave which has a period of 6.00 6/x qym7f d+hwngsm4 gz)z;a1ms?

  What is the period of a wave with a frequen(by3o nehx m0bw,.r zs( in5l7cy of 1500 Hz?

  What is the wave speed if a wave has a frequency of 12g)zu* xnf41 q:kvhb7vt-53c yqwc uy 8 Hz and a wavelength of 3.wqhkv :c4q7yu*tvc3xu 5fybg 8)z 1n-0 m?

  What is the velocity of a wave that has a wavelength of 3.0 m and a frequencyovzs ytb+0hx)4 -tw ibw7mw 59 of 12 Hz?+o0wm4y5)bttb- vw s w9ix 7hz

  What is the frequency of a(z- hcvvxg fap11u i7p9ghskp*915an 2.5 m wave traveling at 1400 m/s?

  A piano string of linear mass dde 656 rnavzp xmumph34* gd62ensity 0.0050 kg/m is under a tension of 1350 N. What is the3*n6u ddpr46ezp 6xa5 g mmhv2 wave speed?

  A string of linear densit8qjzm c,.m m;jj6yrxqno q6 +,y 6.0 g/m is under a tension of 180 N. What is the velocity of propagation of transverse wj+.;rmz6 8yqomjnm,q,jqx c6aves along the string?

A wave whose wavelength is 0.500 m is traa .(yf9 u5xqar70teha veling down a 500 m long wire whose totala a( y tq075xha.uef9r 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 tras3.iwi8j sm7 mc;d9s 3/ /o 6yzwq7d3cdat mptnsverse 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 mt37zqowd;p3 ay867/ d /djcm3imst9s ics.wthis string?

  If a guitar string has a fundamex4y59/l)3 b vz eon rr7ickxf)ntal frequency of 500 Hz, which one of the following frequencies can selx ikz7cb593nf xv) )e 4royr/t the string into resonant vibration?

  A stretched string is observed t s15uswhmng7lfe8(. l o have four equal segments in a standing wave driven at a frequency of 480 Hz. What driving frequency will set up a standing wave with five equ7lmh.few8 guls 5n(s1al segments?

  A string, fixed at both ends, vibrates at a frequency of;eazejj62*hn ncb:/ow: :xpt 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency is needed if the standing wave pattern i::nj a 6x;wp /e2ebnc*zojh :ts to contain 4 loops?

  A string of linear density 1.5 g/m y dk2 tnwyow2:o1b*:a is under a tension of 20 N. What should its length be if its fundamentany2oy2 okw tbw*::a1dl resonance frequency is 220 Hz?

  Find the first three harmonics of a string of linear massaz nicrmm;lv)8wo2:pc-7 7 ei3y(iu z density 2.00 g/m and length 0.600 m when it is subjected to tension of 50e3mm: pco (ay7l7-;w8ziriv)zn ci2 u.0 N.

A string of length 2.5 m is fixed at both ends.u:ygz x0n9+vw When the string vibrates at a frequency of 85 H:u09x+wnygv z z, 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.