The time for one cycle of a periodijwh.8k a14 1x*xbe q bepa/ p,g9lpgrt1,ygu: c process is called the

  For a periodic process, the number of cycles per unit time is calltrlhkc2ib858k r1qd s -yj742 q(luy yed the

  For vibrational motion, the maximum displacement from the equilibrium point yy9u: ,r ;9h o .b+ekymucjzn)is callc:ej;uh.muy o,yy9 )zkn+b9red the

  A mass on a spring undergoes SHM. When the mass is at i+a hqz0t6w m(fts maximum displacement from equilibrium, its ins6q0h wmtf+az(tantaneous velocity

  A mass on a spring unynt b/ k dy*mn8*3(fi/wdx4x tdergoes SHM. When the mass passes through the equilibrium position, its instantaneous vendx y/tt(f3i/dx nw**48ymbklocity

  A mass on a spring undergoes SHM. x pcf,*vn tbr351vil19w( n:4liojjdWhen the mass is at maximum displacement from equilibrium, its instjin vt15:op,df3ilj wv*xl41r(n9 c bantaneous acceleration

  A mass is attached to a vertical spring and byn f v15/d0qt t- *fspjo26zj-a; lwmuobs up and down between points A and B. Where is the mass located when its kinetic eott21vj; f0-zdmy j/ fs*6 lnauq5wp-nergy is a minimum?

  A mass is attached to a vertical spring and bobs uvmvr3 kp1)h+f- 3ylr zp and down between points A and B. Where is the mass located when its kinetic energy 3yh)v r1r-lv+zmfp k3 is a maximum?

  A mass is attached to a vertr/xud z0rox :p qd)jh3e;ej :2+l8te j 7juig0ical spring and bobs up and down between points A and B. Where is the mass located when its potential energy is a mi/2 3jjpg;ez :d eu )xo7+ru8: qhltj0jdr x0ienimum?

  A mass is attached to a vertical spring)3rw)dlu 4jq qko0g9b and bobs up and down between points A ankwg oj3r) )9 dbuqlq04d B. Where is the mass located when its potential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-spring system produces whaupid42m7k8bjk60i ys t efk420di7 bjypm8u6i ksfect on the system's mechanical energy?

  Doubling only the mass of a vibrating mass-and-spring systfwtu; g 20,jctjy* i)rem produces what effect on the su,jtgwr2)iyf0 cjt* ;ystem's mechanical energy?

  Doubling only the spring constant w(ec- z nb2am32 rc-nb 7xago,cee t03of a vibrating mass-and-spring system produces what effect c 3ga(bmx2b- e2a- co,twc znee0nr73 on the system's mechanical energy?

  A mass oscillates on the end of a spring .mz/-of4 rgyz, both on Earth and on the Moon. Where is the period the grea.mo -/frzz4yg test?

  Increasing the spring constant k of a mass-and-spring system c)w:4r tmns3 m 2cjjradc+ej1pb,wxz2/x z . t-auses what kind of change in t/t- taz xcxjr,)z1 p w34newmj : s.+mjb2d2crhe resonant frequency of the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-an)7.w5 xnsa. 3w v hmg/i7uzvnod-spring system causes what kind of change in the resonant frequency of the system? (Assume no change in the system's spring constantvznnw/ x i7hva3 u5.s7. mowg) k.)

  Increasing the amplitude of a mass-and-spring system cse)-hzy u9nt h )r6v2jauses what kind of change in the resonant frequency of thnzj9v h-ryt) h)e 6u2se 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 weightl 1nrfiky 4( q);b9ym duae0xr:9;xzux ess string of length L. For this system, when under:ixnma e u4;xb yrf01;xy)uz( dq99rk going small oscillations

  When the mass of a simple pendulunzmfcl5z:v n;o;1/iz m is tripled, the time required for one complete vib5z1:i zzcn /o;vnlm; fration

  Both pendulum A and B are 3.0hro0( uq-kopz w3jvvi+y.3 a( m long. The period of A is T. Pendulum A is twice as ho o u-ywpzq(+ihvvj(0 .a rk33eavy as pendulum B. What is the period of B?

  When the length of a simple pendulum is tripled, tif q oo50py/uj)d84os he time for one complete vibration increases by a fac4s d 85 fqio0ouoj)p/ytor of

  What happens to a simple pendulum's frequency if both its0oy bsxg6q(8de ,hc l1 length and mass are increased b0lh( sq egx68odcy1,?

  Simple pendulum A swinhz4s* vcc cx n(5-/getgs back and forth at twice the frequency of simple pendulum B. Which state54v - xgcezc*tnhs /(cment is correct?

  If you take a given pendulum ybolnw f /(p4:to the Moon, where the acceleration of gravity is less than on Earth, the resonant frequency of the pendulum(plonfwby :4/ will

  Curve A in Fig. 11-1 represe0848hk-hi/opfs8 sg, bwoclunts

  Curve B in Fig. 11-1 .r d h)ijf1bb3cs - e(44jfvkvrepresents

  Curve C in Fig. 11-1 repreu:buok-8 w-xw2 y,zy fsents

  For a forced vibration, the amplitude of vibration is found to depe z68ay )ou.klond on the

  In a wave, the maximum stlp2gl0 ;e4adisplacement of points of the wave from equilibrium is calle;agt p24 0lelsd the wave's

  The distance between successive crests on a wave is called thmuk+5oet m3, de wave's

  The number of crests of a wave passing a point per unito, +bvf,vz /rzf6t5 s+n0ydvt time is called the wave'6o 5fyvd zvs+v+0zt/t ,b fnr,s

  For a wave, the frequency times the wavelengthaz 9tp7fdv6.j is the wave's

  The frequency of a wave increases. What happens to the distance betwemc8+ p:k 9ud.atwqw1ren successive crests if the speed remains constanu1wtap+d .8 :rq9w kmct?

  A wave moves on a str sq7rhug36. l,5zc b v7vt)qzics84xiing with wavelength l and frequency f. A second wave on the same string has wavelength 2l and travels with the sal4bcrq g .hxu zv zsit7i,6vc)5qs837me velocity. What is the frequency of the second wave?

  Consider a traveling wave on a string of length L, mass M, amvdta(z1 2p8 :ogde0 xnd tension T. A standi dm:gvz2p(to x8e a10dng wave is set up. Which of the following is true?

  A string of mass m and length L is under tension T. The s fo3(a 3 s fj.n:vrhw*5ay,ev(we)iadpeed of a wave in the string is v. What will be the speed of ef*(h i: 3jwfwy.vd)anr,3 5aveaos (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 lobwxv0 , iqn;ox5u 0dakc2/:kdd;ej,ength 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 sx :2;deo,onud cbix ;5j 0vkd /q0kaw,tring if the length is increased to 2L, with no change in mass?

  A string of mass m an1;db i-/ ibcdrm)yr b;pj8ca 8d length 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 tens/1;a ccj;iy r8pbd)b d8mrib- ion is increased to 2T?

  In seismology, the S wave is a transverse wave. As an S wave travels th4m6q8f /us4vkk tl1 corough the Earth, the relatkq 4/6klmou84vfc t 1sive motion between the S wave and the particles is

  In seismology, the P wave is a longitudinal wave. As a P wave travels d41yts93gd4 lhc96cn x+hrku through the Earth, the relative motion between the P wavxh641ld s4ctgn 3+99ryudhcke and the particles is

  The intensity of a wave iyd )y *sq3u:sqe*lbe7 s

  A wave pulse traveling toy 9coguih)b49qb8j o:: sm+ ld the right along a thin cord reaches a discontinuity where the rope becomes thicker and heavier. W4gb)c+ ubh:ioq: jm98s9lod y hat is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass: nkxxk: w8u;:zi qfpf2.xc 2f each other on a string, one is traveling toward the right and tq2f8f zicpw.xn:;kuf2x :xk:he 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 th iz9orvr -d y(uo*3(ate right has a positive amplitude, while the one traveling toward the left has an equal amplitude in the negtyrd o-9 (o(v z*uia3rative direction. At the point that they occupy the same region of space at the same time

  Resonance in a system, such a+vy)b kbc-iry1 o6 y1ps a string fixed at both ends, occurs when

  If one doubles the tension in a violin ststsqzx u02+ b8ring, the fundamental frequency of that string will increase by s8xsbu0z +2tq a factor of

  What is the spring constant of a spring that stretches n+ w3; -+2ejcyn9k fn1vvnq*ywzvz(t 2.00 cm when a mass of 0.600 kg is suspenw3nw-q;kc yv( 9*nty++n2j znfv z ev1ded from it?

  A mass is attached to a spring of sprtc/rcfqm4- g al((dxmownt0y*yd5.; n 2vg q 8ing constant 60 N/m along a horizontal, frictionless surface. The spring (mn2tt am5-q8d ;y(oq/*flx0 c dnv 4. gcgwyris 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 a sprin*) irk( rdyv/ub:m h4pg 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 tamdiry4p*(hv )buk / r:kes 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 t3m-qdyfb2v 3 7o 5nr g.aioa9()g fnqso 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 mas9f) q-of .r237ygm5 dnbova3qa(ing ss 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 goes through 10 completes:wfq3(t j.0;5+ mv zslgzk jh oscillations in 5.0 s. What khmvz+s q5w .:; j0tfjz3(lsgis the period?

  A mass vibrates back and forth from the free end of an ideal spring o-kwurx +z hz*.xfo)xy7/y)k j f spring constant 20 N/m with an ampliy/x)o*k j.7+ hxr-kxf )uywzztude 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 attacs fkbtj;rxj8+ ;mtffc) t 7/f/hed to 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. What is the total energy of the system? ;t /;c/ftrj+7t f k)bmxj8sff

  A mass undergoes SHM wit:m.fw ,wp rgm3m4acg(sb( ,v- bqlg9jh amplitude of 4 cm. The energy is 8.0 J at this time. The mass is cut in half, andwarvcp 4mq-ml:bb ,fg . gj(9 w(s3,mg the 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 spring conwa* jk6s;ou d e,ev8-vstant 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 th *6u; keevvo-wsd,8j ae amplitude of vibration?

  A 0.50-kg mass is attached to a spring )/ wvg7ryg/v qa)74hpxj ud1xof spring constant 20 N/m along a horizontal, frictionless surface. Th 7gxvuag7) xh4pq /y1/jwvrd)e 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 yz)j p8y8q sgt/ks ia;vnp92+to the end of a horizontal spring of spring constant 50 N/m and set intyt/)8p 8q9;jaig pzv2 nykss +o 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 spring of spri ea8/w svdf84ung constant 50 Nv 8a fsd4/8wue/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the total mechanical energy of this system?

  A mass vibrates back and forth from toq.2jot9 v8 n(*dt iqyfdp6 6bhe free end of an ideal spring of spring constant 20.0 N/m*j 2.q pnq9 f86itytv o(dobd6 with an amplitude of 0.250 m. What is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-bp452 rxkum90dgx9tqw pzb 1d 7k*8iyspring system is 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 5.0 cm and then reld 9b27r w xuk0 qzk*bg49mpx1it8dpy5eased?

  A 4.0-kg object is attached to a spring of spr) 1;jz7q( y fbjnxi,aring constant 10 N/m. The object is di jfyi r zaj17n,;)qxb(splaced 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 s0w .w; -wmch7rl ol6r9vt;xrb pring of spring constant 10 N/m. The object is displaced by6r;clwx-r;wm07 . wl9 ob rthv
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 sb 1a7ms9vtlj3 lightly from its equilibrium position, anlj1bam 79t3 vsd released. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequen(.q ary8a9wv 2a c7djacy of 1.27 Hz when displaced a distanc2w avca7 y(dqr98j a.ae of 2.0 cm from equilibrium and released. What is the maximum velocity attained by the mass?

  Two masses, A and B, a4;h(oxaj 8uuihr :et0 re 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. How does the maximum speed of A compare tru :a8ihtox(; ej4h0uo the maximum speed of B?

  A 0.30-kg mass is suspended on a sprbxx(d( 0yzg)/ zw ud/xing. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an dzw(y0xzu (xg d )/x/badditional 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 ty.bc 2iwmpi 3.;f ;pkehe mass stretches the spring 2.0 cm downw.;yepiw cm.b;p2 i fk3ard. 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 stretch7)q1d 3c*k hi2nxxq npes 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 its equcnk2hpq 7q d *)3ni1xxation of motion.

  An object in simple harmonic motionbvj l8vm1 ls2( obeys the following position versus time equation:l18mv(j lvb2 s
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following position versus ya)t 95u da)cctime equation:ucd )9ta5) cya
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion okq1k2-;gz8 k(mi et tcbeys the following position versus time equati gm(te2t;-cq8k1kzki on:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring exer *dq,lfg6yy,xlt)/ dcutes simple harmonic motion accordil)ygyd l , x*/6,rtfqdng to the 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 of 20.0 N/m oscillate(9-*p dyehro x lfqf6u0nn;u/*or c.y s on a 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 c. 9d *holnyuur0(n yfqoe;*/ 6rx-f pcm.)
(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 sgz fpghtb )kiqt2ns)i/n:5 0 7. (a) What are its frequency and pern7q05p nizgkbt )f st:i/g) 2hiod on Earth?

  A 3.00-kg pendulum is 28.84 m long. What is its period on Ea+f i bfy3yjngb6-n5 +hrth?

  A pendulum has a period zfy. ;wn4t; ahof 2.0 s on Earth. What is its length?

  The pendulum of a grandfather clocbl g52sx3lk .ck is 1.0 m long. What is its period on the Eart2.kg5x cl lb3sh?

  The pendulum of a grandfather clock is 1.0 m long. What is its +cmw kdt s.2;yi+ri h:period on the Moon where the accelerah:+ry+ stci kd2m.wi;tion due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg /-lbt b3o*iqhq+j5dv n+c) lzspherical 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*o-3bzl jhqv+c )/q+t5bnd il 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 masscelzf9n 8j7xxr,ta +: has initial angular displacement of 8.08: aj e,xczr9 lx+ftn7e. 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 frequen w jk774szej1ns znp,a11eyd(cy of the wave is 120 Hz. What is th 7jkndz(ep7z1sn14,1 sje awye amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given time. The freque d: xwzy +qeif*o w;q/pyt(f,6ncy of the wave iswdo/fyep +yfi x t,;q*6(w:zq 120 Hz. What is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given time. The freq g,7 5bzhmob7oy7 zww -qcm08puency of the wave is 5-h o7q7bym8bowm 0wc gp,7 zz120 Hz. What is the wave speed?

  What is the frequency ofb l7 hu9d7ef7g a wave which has a period of 6.00 ms?

  What is the period of apd u,l 7ql,l5n wave with a frequency of 1500 Hz?

  What is the wave speed if a wave has a frequency of -tr-frp+k6*frfu t/x 12 Hz and a wavelength of 3.0ffp- xk u*r-rfr6t/ +t m?

  What is the velocity of a wave that has a wavelength of 3.0 m and a freque*a/qetw6k1oy w: *lv tncy of 11*t*yvqa 6k/w twl:eo2 Hz?

  What is the frequency b+d2ff- fuj,qu)5 er wof a 2.5 m wave traveling at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is under a tension 7 d8hg nt0gdd65zaljy56k ta3of 1350 N. Whatzhg8 n05 36y dgjktdda5t l6a7 is the wave speed?

  A string of linear density 6.0 g/m is under a tension of 180 N. What is t; 2bk r*g5yrd)bqq y5t250p vzft nsm5he velocity of propagation of transverse waves along the strin0y5st;v qbg2n t qrdy*52fpmzkr5b )5g?

A wave whose wavelength is 0.g 9q*u) citq6.w9-1sym5s ygleho7 jy 500 m is traveling down a 500 m long wire whose total mass isj -wm9g tyes os1 c9g5*y.qi yuh7)6lq
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 t1v00 kwpg39lr/vcd8stq vn lk2khk:1ransverse wave on a 2.0-m long string fixed at both ends is 200 m/s. Which one of the following is l g1d vc20/tkw3kln8kkp:h9vsq 10rvnot a resonant frequency of this string?

  If a guitar string has a fundamen )b ,f*wusrc5bs*ay5gtal frequency of 500 Hz, which one of the following frequencies can set theacg*, buw)yrs5 * s5fb string into resonant vibration?

  A stretched string is observed to have four equal segments in 8 /ww,gosjtw. uab 2c)6p8mcya standing wave driven at a frequency of 480 Hz. What driving frequency will set up cjsg.wuay,6b)otp8/2cw 8mw a standing wave with five equal segments?

  A string, fixed at both ends, vibrates at a frequeb4zbmjwimp: z w)-2u; ncy of 12 Hz with a standing transverse wa ):m; m2bi 4uj-zbwzwpve pattern containing 3 loops. What frequency is needed if the standing wave pattern is to contain 4 loops?

  A string of linear dens)gp yvuq8amna0 wi7-5ity 1.5 g/m is under a tension of 20 N. What should its length be if its fundamea758wivg)u ya0nq m- pntal resonance frequency is 220 Hz?

  Find the first three harmonics of a strin2*kscf .ujn7o r7.hpig of linear mass density 2.00 g/m and length 0.600 m when p7 ku*r c.jo2nfihs.7it is subjected to tension of 50.0 N.

A string of length 2.5 m is fixed at botv 5v*s nye ess *jo+)aps+h1.vh ends. When the string vibrates at a frequency of 8vy o+.ehaespsjn+15 v sv s*)*5 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.