The time for one cycle of a periodic proce3 ihjbsbbg ta . l0e9:d1osc2.ss is called the

  For a periodic process, the number of cycles per unit tiq2t bf05z.gos me is called the

  For vibrational motion, the m*9l /z;bn+ q4pv rdlenaximum displacement from the equilibrium point is ca/z nq4rbepvdl +nl9;* lled the

  A mass on a spring undergoes SHM. When the ma ,; ,:luddf -2yobtndnss is at its maximum displacement from equilibrium, its instantaneous veloci fn-;,ydluob, 2dn:dt ty

  A mass on a spring undergoes SHM. When the mass papun osx su.m48y*:,x9:ze5vcm0 ate asses through the equilibrium position, its instantaneous veloz:u*8:un9sacm5 op. 0mex,axs4 ety vcity

  A mass on a spring undergoes SHM. When thck,hvj,9 4j jge mass is at maximum displacement from equilibrium, its inst,k9g4hjv,jc j antaneous acceleration

  A mass is attached to a vertical spring and bobs up and down between points rr8rcpg;*q0di j1;2;xkoe k4u*owqq A and B. Where is the mass located when itr ;qri*op4qj;kq g1e x0;cwdr*8o u2ks kinetic energy is a minimum?

  A mass is attached to a vertical spring and bobs jkqs4u 28mv y-up and down between points A and B. Where is ms 4-q2uy v8jkthe mass located when its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up and dowq-gqvae7; p.mn between points A and B. Where is the mass located when its potentim - 7qvqe.;apgal energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down between points A(;gu y+ 2e:tvlbvj2vpad gm3/ and B. Where is the mass located when its potential energy is a 3vu2;j :mb(+ tp v/2yglagedvmaximum?

  Doubling only the amplitude of a vibrating mass-and-sprilo*-o*jbdmj6prsx c; v7e: .tng system produces what slx.e rd*ojbc6;7-m*t ovj: peffect on the system's mechanical energy?

  Doubling only the mass of a vibrating mass-and-spring system produces wha826oz1ni6jo 32k p 1 sfedfzcpp5h)uit effect on th2j6enpuzi118 ik6 p fz )po sf5c2od3he system's mechanical energy?

  Doubling only the spring constant of a vibrating mass-and-spring system zdp1*me jc q)h ,(r8ybproduces what effect on the p)j,8mqrzd*hey1c (b system's mechanical energy?

  A mass oscillates on the end of bfzkxjl(+,x c,z c+a.o0s-hq a spring, both on Earth and on the Moon. Where is the period the greatxf. b+lcahqzk+z,,c 0o sjx(-est?

  Increasing the spring constant k of a mass-and-spring system causes what rxeq.oylt0/ca yj bh )-xkrs0- 7ix61 kind of change in the resonant frequency ys/-jih 6qr l1r-0xy7t)0a bexcox .k of the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system causes what kinoj4 o up nlb4iw4li*-51elj f8d of change in the resonant frequency of the system? (Assume no change in the sysui wl4f -*bo1l58n4pjjeloi 4 tem's spring constant k.)

  Increasing the amplitude chihoud,6//d 5im ,tdzc 07 0wx1ri+g5lwvtb of a mass-and-spring system causes what kind of change in the resonant frequencywxictv/0d 5i,l6, 1h+i 0mc zd5/do7gutr hwb 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 ti+0)5j j ssq0k es9vp1yww u)qo a weightless string of length L. For t9j)vp qs)ey5kq 0s0i 1 wju+swhis system, when undergoing small oscillations

  When the mass of a simple pendulum is tripled, the time required fofo xm v (y196mt8bkdn4e4*ko y pd30skr one completeyy41db e xs9806m otvkkpnm(dk3o*f4 vibration

  Both pendulum A and B are 3.0 m long. The 3euz4 -uegi2 xperiod of A is T. Pendulum A is twice as hea3u izgxeu 4-e2vy as pendulum B. What is the period of B?

  When the length of a simple pendulum is tripled, the time for one complqz/d9hw 1ld5bjc 5mo-ete vibrat/db5d1ojl9 w5zh -m qcion increases by a factor of

  What happens to a simple pendulum's-,l w(bzw l-k+si dgg3 frequency if both its length and mass are increasedk-+iwbl3(z,gds- l gw?

  Simple pendulum A swings t6 gz,bj- 53daiuywv:back and forth at twice the frequency of simple pendulum B.,3 yv6zaubi -gtw5j:d Which statement is correct?

  If you take a given pendulum to the Moon, where the accelerationz(g/zgl;1ut f of gravity is le(ugz/;1gztl fss than on Earth, the resonant frequency of the pendulum will

  Curve A in Fig. 11-1 rhu k8s*,zy5zlj qj9- lyc1 1twq2lq-represents

  Curve B in Fig. 11-1 reyc(z8yk w 34ttpresents

  Curve C in Fig. 11-1 represn u4es jip8v-ecv/49ients

  For a forced vibration, the amplitude of vibration iseml*m:rxl:lh tq6 :ufd69hh ; found to depend on the

  In a wave, the maximum displacement of points of the wave from equiliyg erm84rm6y89wb lf *brium is called the wave' rrm e4w6m yyl9g8*b8fs

  The distance between succvq tt8dlz26;wessive crests on a wave is called the wave's

  The number of crests of a wave passing a point per unit time is caxu/ejd7xfs .n6*q 8id lled the wave's x .qisdf/*deun8 6j7x

  For a wave, the frequency times the wavelength is the wave'sn3 mn 6yx*q:uov4 ;zxj

  The frequency of a wave increases. What happens to the dis1 l:7fylg9,,au lecn h,jt3yxmjs y 7)tance between successive crests if the l,y7:s3llh) j uf 1yatg9,7e,nxm jcyspeed remains constant?

  A wave moves on a string with wmri(c e/xt. *9 0iktdcavelength l and frequency f. A second wave on the same strit0*ke(9ri i c.mdc tx/ng has wavelength 2l and travels with the same velocity. What is the frequency of the second wave?

  Consider a traveling wave on a stryrs 4xl;ly23jing of length L, mass M, and tension T. A standing wave is set up. Which of the follol y 24s;ryj3xlwing is true?

  A string of mass m and length L is under tension T. The speed of a hr15aat-dj/e wave in the string is v. What will be the speed of a wave in the string if the mass of the strin-jh/r5a dtea1g is increased to 2m, with no change in length?

  A string of mass m and lesr4c e6;hgq8 angth L is under 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 length is increased toqerac6;8sh4 g 2L, with no change in mass?

  A string of mass m and length L is under tension T. The speed of a wavmwtx4r03 0luhe in the string is v. What will be the speed of a wave in the string if the tension is incr3wtlu xrh 004meased to 2T?

  In seismology, the S wave is a transverse wave. As anwh b z6;;m9j i/ddcbx+ S wave travels through the Earth, the relative motion between thec/;hwx m9zjib ;d+b6d S wave and the particles is

  In seismology, the P wave is a longitudinal w* dv68i tvf:hpave. As a P wave travels through the Earth, the relative motion between the P6d :vt*8fpvh i wave and the particles is

  The intensity of a wave dy:o)tdiuh cv+i7v+dc : s)l91sh4d3g u6kaqis

  A wave pulse traveling to the rg0 fterp98+ jowp: d.wight along a thin cord reaches a discontinuity where the rope becomes thicker and heavier. What is the orientation0op:tg9.rd ww j8+fe p of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass euff/9yf*xk4q 4 m :off y1pir9ach other on a string, one is traveling toward the right and the other toward the leykqf:iomprx4f49 fyuff 9 / 1*ft. 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 m n4ccr u tbuo+bu3s.99pkj)(right has a positive amplitude, while the one traveling toward the left has an equal amplitude in the negative direct(k cunj9tsrb 39pm)+4buco . uion. At the point that they occupy the same region of space at the same time

  Resonance in a system, q7rmqsnx24p+q ::.ivc, zhkcl sp,gs* w07um such as a string fixed at both ends, occurs when

  If one doubles the tension in a violin o -(jpjt0e9sr q4n7mp string, the fundamental frequency of that string will increase by a factor 4 tjnp 7sj9mr (0q-poeof

  What is the spring constant of a spring that stretches 2.00 cm when 4 i96 b7oec voinx(bx;a mass of 0.600 kg is suspended io6c ;7b e9bx4iovn(xfrom it?

  A mass is attached to a spring of sprig ewp8y9axr7 80,k0z mddje8o ng 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 8p0e8 jwmd,xy0ko dg87reza9go 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 a9 ewb9yo2ai r/long a horizontal, frictionless surface. The spring is initially stretched by a force of 5.0 N on the mass and let go. It tak2i9baywre9 / oes 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 /hikz a tl1/u5po.h+k/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 frequency of oscillht pl/+kkoa.1 hiz5/ uation?

  A mass on a spring undergoes SHM. Iti.v07s9,t v le+jnemg goes through 10 complete oscillations in 5.0 s. What is tvm .e,vj 9+sit0l neg7he period?

  A mass vibrates back and forth from the free end of an ideal spring of spring c2 spc9joez wz0g++a h*onstant 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 equw*ajzp+oz esc0 2g+ h9ilibrium position?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/;xg8b2y r/+fc +x uspjm 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. rbcg2j+u8s;/fx + pyx What is the total energy of the system?

  A mass undergoes SHM with amplitude of 4 cm. The ener 9z6c, 9rahjxsgy is 8.0 J at this time. The mass is cut in half, and the6s99,ahrc z jx system 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 spring of spbw ) wtd7jg67;-e diplring 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 amplitude o77l tgpd; 6we-bi) jwdf vibration?

  A 0.50-kg mass is attached to a spring of spring constant 2 rnu/1iukuc220 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion auu/cri122 kun nd 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 fu 7m*z yd5 y5-:.vj yop1*hup xt;mivof a horizontal spring of spring constant 50 N/m and set into simple harmonic motion wfu:7d 5vytip. ;hj yozmx 1vp-u** 5ymith 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 aqm. i rtu(ys.lxi*-5 g horizontal spring of spring constant 50 N/m and set into simpl i r5y*s.ux(q.migl- te harmonic motion with an amplitude of 0.10 m. What is the total mechanical energy of this system?

  A mass vibrates back and c,o+cna,:dz nforth from the free end of an ideal spring of spring constant 20.0 N/m with an amplitudec:n,+c,ado zn 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 fx 4 ua61 dg,nysb-;ikits equilibrium position and released. A frequency of 4.0 Hz is observed. What frequen is-kg ;4,yd6fbx1a uncy 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 sph,6u j)n p;htxring constant 10 N/m. The object is displj, ht;xnp6 uh)aced 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 spram6b r77ca h rf8px8mef2 /(tring of spring constant 10 N/m. The object is displaca2r 6frc 8( h m/pbmefxr7t78aed 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, dij ywg r70pem )i.)b1xsm:e b(zbq p:0vsplaced slightly from its equilibrium posiesp1beix0j)mrb z w: m)g 7bp.(q :v0ytion, 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 whesm5dx-vwwi 7/n displaced a distance of 2.0 cm from equilibrium and released. Whv-wm /iw5x7 dsat is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to different springs. Mass A vibr43 hj 4 mbbnne fp(5pizyp*7k4ates with amplitude of 8.0 cm at a frequency of 10 Hz and mass B vibrates with amplizb4f 44mpe3 jkpn7h np5yib(* tude 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 mas7puxh won*ca;q kt *+wenc2/1 s stretches the spring 2.0 cm downward. The mass ch q*nn+owxk1wc7;*t e/p2auis 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 equilibri ddg5x-qg.kz6k 3r;rmum the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and released fromrgqxr;6kg dzk3 .5 md- rest. Calculate the total energy of the system.

  A 0.30-kg mass is suspended on a spring. In i0 .ib +t;go8ixaue6 hequilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of0iiog iux;6 eht+b8a. 1.0 cm down and released from rest. Write down its equation of motion.

  An object in simple harmonic motion obeys the following position ve2ud :scgd9f8q rsus time equation:u: sq8cd2gdf 9
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motiomdvmzcbm+7f/fh s; 0 ;n obeys the following position versus time equahb fs m7zvf c0+mm;;d/tion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeysf 7x6ebh6 u*0h-g6tw qkm+fo6w* qiym the following position versus time equx + wfm6*t66-i ygh6 beh0fw q7kqo*umation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free eny2.tw n8edtb* y2s qn(dp13e b1; gsifd of a spring executes simple harmonic motion according to the equat(;ny8e y2g *tfei13d 1s bd qbstwp2n.ion $y = 0.50 \; \sin (18\pi \times t)$ 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 consdm/t0s/i yef1 av.4q:4gottjtant 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 spring is stretcg /t 0 yi4fo4tdma qtvs.:je/1hed 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 are its frequenc t e+s8)nqpx)vy and pe vx)pt+es)8 nqriod on Earth?

  A 3.00-kg pendulum is 28.84 m lc8 ak j)pxyvpy,l(9a)ong. What is its period on Earth?

  A pendulum has a period of 2.0 s on Earth. Wh:ounqrd9gfl)k 5c l*3at is its length?

  The pendulum of a grandfather clock is 1.0 m long. W:0 d:kfkb g1p/6wrnjshat is its period on the Earth?:6:n w/drkkpj1bsfg 0

  The pendulum of a grandfather clock is 1.0 m l 9m 7,id1 5hlahs4 c*iw-f (7n k/xcuaonu0assong. What is its period on the Moon where the acceleration due to gravity is on*khn7i17suxicw f49hd-acnsm , oa( /05 uls aly $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg splw 5u+ cm6o8ntherical 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 l mc6n +outw85frequency 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 initial angular displa8rik1)y z7,3ngze l opcement of 8.0e.iyno1 3 ) 8zerpzglk7, 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. 7ilt )zh5xkn at a given time. The frequency of the wave l7hnti. )k5xzis 120 Hz. What is the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given time. The fq2f 5jz1x 8q7i re1xserequency of the wave is 120 Hz. What is the wavelenrisez1jf5e2x 78qx q1gth?

  Figure 11-2 is a "snapshot" of awzx2g4 4chn :u wave at a given time. The frequency of the wave is2 g4xhw4c:nzu 120 Hz. What is the wave speed?

  What is the frequency of a wave which has a period, f 2 oqnaori;ncc9u+6 of 6.00 ms?

  What is the period of a wave w k6wi0e nx77 l42egdvnith a frequency of 1500 Hz?

  What is the wave speed if a wave has a frequ. l1:umhpk+oz ency of 12 Hz and a wavelength of 3.0l: +k.1uzphom m?

  What is the velocity of a wave that has a wavelength ofhgo htfk 5 :b0o+nra10 bxu10r 3.0 m and a frequency of 12 Hz?t kb0 hhfbona:0g0+1or 1r5 xu

  What is the frequency of a 2.5 g:m:bq c2dz -s:vdeb(m wave traveling at 1400 m/s?

  A piano string of linear mass deb4o7s,r jf v 5,.oumsxlg3q8 ensity 0.0050 kg/m is under a tension of 1350 N. Wha, b s,lrq.m35xsv7 o jeo8gu4ft is the wave speed?

  A string of linear density 6.0 g/m is under a tension of 180 N. W4l :uj5m0gy erhat is the velocity of propagl:54 m0rjyeug ation of transverse waves along the string?

A wave whose wavelength is 0.500 m is traveling down a 500 m long ;ui6y*n hav8m),euv cwire whose total mass inyvma)c6iveu; 8 hu *,s
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 2.0-m long string fixe(v4p s0.1t9 vb ow-k cb+tk igkuq/ddoi:7f4dd at both ends is 2bk7/ ck -g.utvdq d 4bsv: w1if(o9+idkop4t000 m/s. Which one of the following is not a resonant frequency of this string?

  If a guitar string has a fundamenhn2sflvo)2 k (tal frequency of 500 Hz, which one of the following frequencies can set the string into)f v(kl2h osn2 resonant vibration?

  A stretched string is observed to have four equal segments in a standing wave .i t;zpf,pxyn9j2j9 qdriven at a frequency of 480 Hz. What driving frequency will set up a standing wave with five equal segmentqzyip;x9j9,2 .f pnjts?

  A string, fixed at both ends, vibratesn )g0, dt1bcok at a frequency of 12 Hz with a standing transvec1k0bn , gt)odrse wave pattern 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 underdfnx+g6 1 t0txpnjxu(t(.e .ehnhl+ 8 a tension of 20 N. What should its length be if its fundamentaj6np8 .1ethgxlfd + u.ne0t(x h(t+xnl resonance frequency is 220 Hz?

  Find the first three harmonics of a string of linear mass densityliqijaj (/4 ,jb) 5aded9zk:z 2.00 g/m and length 0.600 m when it is subjecjdza,jje)bl4 a( /qdi9i5:k zted to tension of 50.0 N.

A string of length 2.5ssg97mx- -lt+l*f 3kzy*moy o m is fixed at both ends. When the string vibrates at a frequency of 8lzmy*-ts y s+-ol *m 3ofg7x9k5 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.