The time for one cycle of a pmx(z iu5 h3,oseriodic process is called the

  For a periodic process, the number of cycles per unit 34fguc n(orkl+n4o hg( ual (8time is called the

  For vibrational motion, the maximum displacement from the equilibrium point ifck( ul3 rlgvra,2 ;;bs called crkv f3ag, ru(lb ;l2;the

  A mass on a spring undergoes SHM. When the mass is at its maximum dt57vz c k0pvgyu2 /e/iisplacement from equilibrium, its instantaneousvtgy/0572/ cekivzup velocity

  A mass on a spring undergoes SHM.l,9r,megul8b r lwy+ ) When the mass passes through the equilibrium position, gblr l8yr)l+, 9 w,umeits instantaneous velocity

  A mass on a spring undergoes Strg 9)o x8v(xr0uy at8HM. When the mass is at maximum displacement from equilibrxr a9v (tu0r)yt88 goxium, its instantaneous acceleration

  A mass is attached to a vertical spring and mqr)2 p bnvsx7t5ze6 w+z qar)j((z*sstj ( 4bbobs up and down between points A and B. Wherer(st*zw ) pbvm bnj+sqex jq5z()7z46 ta(2sr is the mass located when its kinetic energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down 4 (i ,d06bbc aegsx.vvbetween points A and Bbg.xvcsdb6v ea (,4i0. Where is the mass located when its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up aq)n60z(pc w)bumijd. nd down between points A and B. Where p( z)quwm nj).06cibdis the mass located when its potential energy is a minimum?

  A mass is attached to a vertical spring and bobs up and do ckymk h 887e,bm(kf3nwn between points A and B. Whm7k3y,kf bk8nch( 8meere is the mass located when its potential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-andz2)lxf aztr*zx c6c63-spring system produces what efx*)zz6czf2r3lac x t6 fect on the system's mechanical energy?

  Doubling only the mass of a vibrating mass-and-spring system produckx f;f jw8ldfhw,bhbx56g; i:96t1tces what effect on the system's mechanic9x5bc,hlwf8 ;66fxbt j fhtkw :dgi;1 al energy?

  Doubling only the spring constant of a vibrating mass-and-spring system produce3jz gt* k)*qenmovb, l lr67z(s what effect on the system's mec r) lonb7 lt q,(ek*zv6mgj3z*hanical energy?

  A mass oscillates on the end of a spring, both on Earth and on the Moo0,gs/ ,6y 1rnsi,8pasirtf van. Where is the period 8v/1,fs t, yss,pra0nr6iag i the greatest?

  Increasing the spring constant k of a mass-and-sptdm 1;fycvk) +ring system causes what kind of change in the resoncmv f1k;ytd) +ant frequency of the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system causes wqmerhdtl1r8 2v5 ,/g a,kvxp8hat kind of change in the resonant frequency of the system? (Asq1hkv v/m85,r,2ga e tp8dlrx sume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system causes whsrh uevy51h6t9*4 cvyfci6x 9at kind of change in the resonant frequency of the sh 4xyyfci cu16e svt6vh9*r 59ystem? (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 weightless string of lengm (e7+lh pkfy,th L. For this system, when undergoing small o+ehf (pk,lm y7scillations

  When the mass of a simple pendulum is tripled, the time required for 7+ttf.1)r0 cjip7k6fxmt hy tone complete vibratiok) 1j.tfyh+tfp mit76xc7tr0n

  Both pendulum A and B are 3.0 m long. The period of Aem27 zzu /as(m is T. Pendulum A is twice as heavy as pendulum B. What is the period ozmz(7s2/u aemf B?

  When the length of a wuoy0; vpy2t7xg a1z.simple pendulum is tripled, the time for one complete vibratg y uao102pzt7. vy;wxion increases by a factor of

  What happens to a simple pendulum's frequez8wlhqj4o 8 )h,r 6yyuncy if both its length and mass are increasedw) lj,y8h zo84ury6h q?

  Simple pendulum A swiee 4 *0hg)emy8hoe-t uji.wy9ngs back and forth at twice the frequency of simple pendulum B. Which statement -eeh4)e g8 tejo.0*muwy9hi y is correct?

  If you take a given pendulu0 x5ukpp tra.zcd ;a,z*f6b t.m to the Moon, where the acceleration of gravity is less than on Earth, the resonant fr.z ,dk.rxc tz0upat*p;a f6 5bequency of the pendulum will

  Curve A in Fig. 11-1 represen0)sg j2:/j cc;tibiwo ts

  Curve B in Fig. 11-1 represeh8a 8 tuu jrvzz92k+-xnts

  Curve C in Fig. 11-1 repr n/a bcfd1x,8ue1uucx7 ny).resents

  For a forced vibration, the amplitude of(08rkhvhx cw:ej74h .cqs4 ri vibration is found to depend on the

  In a wave, the maximum displacement of points ofwk: h,iuxkdks)mys:b23oe:q9h *s8 b the wave from equilibrium is called th ie *)8q:od9whx kh:s,u:3 kbb2kssyme wave's

  The distance between successive crests on ff cyd:/)f-kue xc1i(a wave is called the wave's

  The number of crests of a wave passikagt deud5mk9qg71(1ng a point per unit time is called the wave'a k 9mqt(571 d1dkggues

  For a wave, the frequency times the wams8 mgij0i x8-q14ix8d un rq5velength is the wave's

  The frequency of a wave increases. What happens to the dirhff .b:3k7ok stance between successive crests if the speed remains consta:3b hfrf7 kok.nt?

  A wave moves on a string with wavelength l and 7 nae +zgk-zs8frequency f. A second wave on the same stri8-znas7 gk+z eng has wavelength 2l and travels with the same velocity. What is the frequency of the second wave?

  Consider a travelingte 9iv lpo*,og /jy5)i wave on a string of length L, mass M, and tension T. A standing wave is set up. W/)g9jv,*t5i o ioyelphich of the following is true?

  A string of mass m and length L is under tension T. The speed of a wage)2ocus2*:jx,y a/me y yeu 0ve in the string is v. What will be the speed of a wave in the string if the mass of the string is increased to 2m, with no change in m g0o ujuex :,ea/e2y *yc2)yslength?

  A string of mass m and length L is under tension d4. yuyv+7mb7o cxumlx ft7e4:0z ,jjT. The speed of a wave in the string is v. What will be the speed of a wave in the string if the leng4u7b e+0,7j uycv:x.4mzx dtyf o7jlmth is increased to 2L, with no change in mass?

  A string of mass m andx us(fff(l 9pog3fvb.4z/n ;d8 vg(fk 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 tensiozv 9(l gn/fo.3v(bfgpf( fs4kfd x8;un is increased to 2T?

  In seismology, the S wave is a tra/3gj 8 hrnf7 mvcum 1simna;92nsverse wave. As an S wave travels through the Earth, the relative mo1usj;c 982f/v m inmn7grm h3ation between the S wave and the particles is

  In seismology, the P wave is a long*y6g p+ j fe:;uji8mqqitudinal wave. As a P wave travels through the Earth, the relative motion between the P wave and the :j j6ige8*qpfq+muy; particles is

  The intensity of a wave llcghx, 6 n:/4kllvh.t-o;wq 9u-t siis

  A wave pulse traveling to the r0oon2 b(8he chight along a thin cord reaches a discontinuity where the rope becomes thicker and heavier. What is the orientation o 8ho2 cbone0(hf the reflected and transmitted pulses?

  Two wave pulses with equa zgqq17w kqh;hi63l i(r5t a.ul positive amplitudes pass each other on a string, one is traveling toward the right and the other toward the left. At the point1rqii(57hh6u. q qza ktl;g3w that they occupy the same region of space at the same time

  Two wave pulses pass each other on a string. The one traveling towarvg 9u /vk/mn y(jsi,1ed the right has a positive amplitude, while the one traveling toward the left h(9,sivjvenm /kg/uy 1 as 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 be qzux 1( 5xjc1tbyo kbv42:s3oth ends, occurs when

  If one doubles the tension in a violin string, tha4pyb c0 v0wz72qaog6 e fundamental frequency of that string will increase by a factaz 0g6c op2bywav470q or of

  What is the spring constant of a spring thw +x jdo+5u1that stretches 2.00 cm when a mass of 0.6utdhox+ 5jw+1 00 kg is suspended from it?

  A mass is attached to a spring o,r;3x syen m umnj.f+/f 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 mam.ur ,s+/; yxmn3nefj ss 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 spring constant 60 N/m along a hori * oj,wjxsa*e0zontal, frictionless surface. The spring is initially stretched by a force of 5.0 N on the mass and j*a,e j0sox w*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 nooj rkueu5,/2y0 k n 9w,q.xmconstant 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 wko/n5.jk uu9x oyn,m2, erq0 frequency of oscillation?

  A mass on a spring undergoes SHM. It goes s-id . 6/kpnvxthrough 10 complete oscillations in 5.0 s. What is th.sipv- 6kd/xne period?

  A mass vibrates back and forth from the free end of an ideal spr gd dq:5 0avv1b:f 9/z4*fg;dyxfqzid ing of spring consta ;b/ dqzfv0dg*1z4:d qfifd v :xa9gy5nt 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 equilibrium position?

  A 0.50-kg mass is attached to a spring of spring c4fp al a7;z 4; (paujpd;hgfz/9y,htjonstant 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 equilibridzffl; jh(g p7pphyzaa9ta4u,; j;4/ um position. What is the total energy of the system?

  A mass undergoes SHM with amplitude of 4 cm. The enep ib;mo.e 1cj0rgy is 8.0 J at this time. The mass is cut in half, and the system is again s 1;p0em oicb.jet 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 o 4z,:qy1dv;ngq)u ieif 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 gq1e: ,v;znq uii) dy4position. What is the amplitude of vibration?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m al r1 k(il:y.frlong a horizontal, frictionless surface. The object oscillates ink. (r1lrly :fi 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 attachedp 6rk)5zi*von sr 9i4rbm7p8 n to the end of a horizontal spring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the total mechanical ene ri4k )p5mso9n67 pn8ibrz*r vrgy of this system?

  A 2.0-kg mass is attached to the end of a ho*n8y3nt au. e7quzht) 7 borh3rizontal spring of spring constant 50 N/m and set into simple harmoniu tztn qy8*e7n.rh7o3ah)b3uc 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 p pa8)p kbq p6ft7tcr:0nw:, gideal spring of spring cof:c qka:g87) 6wpnp,tp 0 rbptnstant 20.0 N/m with an amplitude 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 its equilibrium p7yjtujb9zzx a* 6u 45tosition and released. A frequency of 4.0 Hz is observed. What frequency would be observed if the mass had been displaced bj *u tuy 7a469jzz5txonly 5.0 cm and then released?

  A 4.0-kg object is attached to a spring of spring constant 10 N/m. The ,j*rw:b z3n+tguj t0t object is displace3nw,+u* gbtjrj t0:ztd 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 Ngtlos1x 4 f0g*/m. The object is xlotfgs*1g04 displaced 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 s.m 3hxffi8 aoek a0(xyz ;4(4flylbpcy/y8d3pring of spring constant 18 N/m, displaced slightly from its equilibrium position, and released. What is the freq0mp8xzey ( a 4.lb8fc34oilfk/yha;yy3 xdf (uency of its vibration?

  A mass is attached to a spring. It oscillates at a frequenmpl,xo h*0* xbcy of 1.27 Hz when displaced a distanco *xb*,p h0lmxe 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 difl qs4-8 k(ezgm df0.veferent 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 q.lm z(ev8 d4k esgf0-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 th/mx0 au: 3gjj4d3-vkpwnk 0iwe mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.03x0:dgw juwmjvk- nk40/i3 pa cm down and released from rest. Calculate the period of oscillation.

  A 0.30-kg mass is sustm3+(86t;ax;+b rj d goctm wfpended on a spring. In equilibrium the mass stretches the spring 2.0 cm dowbmdga8;t( f;xt6cw+t o3mj+rnward. 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 equilibht9t.6 1btdml fln6n6rium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1..mlt6 d1nl 6fnbht6 t90 cm down and released from rest. Write down its equation of motion.

  An object in simple harmonic mjt.w6hrq22fq;( aq flotion obeys the following position versus time equation:fqr.jql226qt (a wf h;
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following positjh96 ekfwwye2*jm i7ad j,; t6ion versus time equj ww ;9mikjefa2jh ,*y667tedation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following position v 9ta n:z*otdi9ersus time equati9nda oi:9t* zton:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring execvrgc g2wp28n+mb1326/k fv gxhoh. 21l jxw wxutes simple harmonic motion accorj wwvgh/.p21f 2o bnx2hc6+ rxm 13gx82wgvklding 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 oscillchwsvm5*v jmw71ai2 8 7n eov4ates on a horizontal, frictionless track. At t= 0, the mass is released from rest at x= 10.0 cm.2am j1evvn7 87cmh5i*4wvo ws (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. (aez) scbq9skol2pggm.e9 4y 3/) What are its frequency and period on E q/s9gs9mezp.)2c 4ke3logy barth?

  A 3.00-kg pendulum is 28.84 m long. What is its period on Eaig bd lnz/griz:/ 03,crth?

  A pendulum has a period of 2.0 s o xv5;hl pt4 qh:s/kgb*n Earth. What is its length?

  The pendulum of a grandfather clock is 1.0 m long. What isal3t/ vdv.df6p9.t) mwbski 6 its period on the Ea l)vd6sd.ptwkvm6 i ab.f3 /9trth?

  The pendulum of a grandfather clock is 1.0 m long. Whw v.:ewvhse22 at is its period on the Moon where the acceleration duvhvs ww22:e. ee to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg15,qd b b2anbw 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. anq bdbb,w521 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 g l3ngmnux0l0 ,)qed0zl,tb6 initial angular displacement of 8.0e. It oscillates with a period of 3.00 ,mnt0db3elx, z6q 0n0lul ) ggs.
(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 "snapshotgtf-ybjqyb315sd utp 8( mk*:" of a wave at a given time. The frequency of the wave is 120 Hz. What is they*sg3yt5:b- tm8bp d1qkjf (u amplitude?

  Figure 11-2 is a "snapshot" ofaa3n 1+ixvx9 z a wave at a given time. The frequency of the wave i93aai xnv +zx1s 120 Hz. What is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given time. The freqrg rwp6 661f(d rhci:w3x ;zjtuency of the wave is 120 Hz. What is the wave speed (p6txwc hrr:3 z1;rjg6fw i6d?

  What is the frequency of a wave which has ld fqu1yt , w-0blt4s9a period of 6.00 ms?

  What is the period of a wave with a frequency of 1500 Hz? *tvauo0 l+vubn4 14:r:3ypmm. ) eqbzfh5l bd

  What is the wave speed if a wave has a fm swwd(5df9lgx0k x .*requency of 12 Hz and a wavelength of 3.0 (*mx g sfkwdx.l9d0 5wm?

  What is the velocity of a wave that has a wavelength of 3.0 mqrwg n yq1i63. and a frequency of 1w.yi1q3 nrgq 62 Hz?

  What is the frequency of a 2.5 m wave traveling at sy*qx/kt 3y1j0zde( l 1400 m/s?

  A piano string of linear mass density 0.00;8nx3nxxu *mg50 kg/m is under a tension of 1350 N. Whatx u;gn8nxm 3x* is the wave speed?

  A string of linear density 6.0 g/m is under a tension of 180 N. What is the ,zb )e-tzsw t-velocity of propagation ts) bewztz-,- of transverse waves along the string?

A wave whose wavelength is 0.500 m is travelinggq6 ev (apt vz9w/z)k( down a 500 m long wire whose totalv9z evzg)atw((k6p/ q 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 t)uawd28qn 4ex )g vu:e-kao2nransverse 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 this s2q:gwekun d 2u8-v)e)on4 aaxtring?

  If a guitar string has a fundamental frequency of 500 Hz, which one o6n,-rj w)usdx,jbexndk;d(fz- 9 mr* f the following jd,nm 6r)9nz-u s;(febr*j x k,wdd-x frequencies can set the string into resonant vibration?

  A stretched string is observed to have four eq/xe,l9 rbgk +f-bgx )f0ck-jcual segments in a standing wave driven at a frequency of 480 Hz. What driving freque0x/ flg+cf9jkkr bg)b,-- xcency will set up a standing wave with five equal segments?

  A string, fixed at both ends, vibrates at a frequency of 12 Hz wit(m, zk ;lzyg mn0w,cvnlp,x 83cbv(la f8)t)vh a standing transverse wave pattern containing 3 loops. What frequency is needed if the standingmfln8,3(wv,bgc)0 m z(cyalv v,tp;)lk x8n z wave pattern is to contain 4 loops?

  A string of linear density 1.5 g/m is under a tension of 20 N.*bm 3 c*6fa/xbnjy*jj What should its lengthn *fy36 acxj*b/b jjm* be if its fundamental resonance frequency is 220 Hz?

  Find the first three harmonics of a string of linear mass -ytj82qawda : -d,xktdensity 2.00 g/m and length 0.600 m when it is subj2ywa: txqt,ka- dj 8d-ected to tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. When tvmikbhtlsu 7k3ri+6w a :90a1he string vibrates at a f i3raam 7wthk+0 9i1l:uv6s kbrequency 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.