The time for one cycle of a p t2pw-)mmm7om fd0qa .eriodic process is called the

  For a periodic process, the number of cycles,2 a.ngnx3cs4tfip t0 per unit time is called the

  For vibrational motion, the maximum displacement mfvp4)xo 5z 1 u,efrwa1 m5a3afrom the equilibrium point is calpm5 ,aw) rf51 fmaa14vozeu x3led the

  A mass on a spring undergoes SHM. When the mzkmi: 1ko+ .class is at its maximum displacement from:k +i1okcl .zm equilibrium, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass pass(vd/nir 9gqd* +n5qf pes through the equilibrium position, its instantaneous velocd5* vn +gpi(qr/df 9nqity

  A mass on a spring undergoes SHM. When the mass is at maximum displacemjg0w r 1pvrr+hocjcrl:57k0to)*fa : ent from eqrpokr:*:) 0o j 0lvjc57 a+hw1tr crfguilibrium, its instantaneous acceleration

  A mass is attached to a vertical spring and bobs upu,u9uv osvc/i:; *z s,-uz idp and down between points A and B. Where is the mass located when its kinetic enu9i v/ vu ps:c;iz,uzd, os-*uergy is a minimum?

  A mass is attached to a vertical spring a)ubes)l akehd 72lg0 /nd bobs up and down between points A and B. Where is the mass located when its kinetic energy is2ee b)/dl7 asl0g u)kh a maximum?

  A mass is attached to a vertical spring and bobs )- ,bu-*motcg k1qg/kb sgh g/up and down between points A and B. Where is the mass located when its potential energy is a m)m qtkg// , g-ouggsckb b-*1hinimum?

  A mass is attached to a vertical spring and bobs up and down between po2si3to ekmo5b78 fx:h 8ibx )pints A and B. Where is the mass located when its potential enef2oxk 3t5887o ibipsh mb:e) xrgy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-spring syst-+ap:xwhwqo7n 2 bcp7mhxz; /em produces what effect on the system's mechanical energy + hw7wbqc x/oa-hnxm;p:2p7z?

  Doubling only the mass of a vibratjj .vho40(x3pv6 kvok ing mass-and-spring system produces what effect on the system's mechanical enerv.o0 vh vj 436xjk(opkgy?

  Doubling only the spring co(gmwt 42ohh )ouwz8z,nstant of a vibrating mass-and-spring system produces whamo( oz) ww2htug 84h,zt effect on the system's mechanical energy?

  A mass oscillates on the end of a spring, both on Earth and /6f, ijpb+0hma 9i mndon the Moon. Where is the per0,m+b9n m aih /fpj6diiod the greatest?

  Increasing the spring constant k of a mass-and-spring system causes whatn93t9mae o7cue o0o t/q ;ied6 kind of change in the reson;o3/ te6i9et07 naeoqmod9 ucant frequency of the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system ca1ubr7h hr8-mfplzb/ ki 0f5 :iuses what kind of change in the resonant frequency of the system? (Assume no change in the system71m r fr5u:hkibfi/- 08hzlbp 's spring constant k.)

  Increasing the amplitude of a mass-and-springq47gy*ayj9o ha t ;lb1ak4d60z;fd bu system causes what kind of change in the resonant freque t1*a9yab6gad4lq7b4jzd f; ; hky0ouncy 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 to a weightlesszy ,er;:ygn:s1mjo vpr47u:2ot8u t r5nfy:u string of length L. For this system, when un ;y74urp2 ,:jsmeuyut1rvrzt : y o :fn8o5:ngdergoing small oscillations

  When the mass of a simple pendulum is tfa9pwr1sm tsd2)zx1 ;klj.;gyl s)+g ripled, the time required for one complete vibratiok. fx z;sd 1gr; lg+a)9p21jmtw yl)ssn

  Both pendulum A and B are 3.0 m long. The perio ub(0m qptxlun 4yulb, j:1 517tgm6knd of A is T. Pendulum A is twice as heavy as pmnnb m1kq ,y1 tlj(xtub0:up6 lg4u 57endulum B. What is the period of B?

  When the length of a simple pendulum is tripled, the time for one complete y- ;mxat ;5 itbo,og2nou(2tcvibration increases -axnog2tu mi2 ; cbyoot,5(;tby a factor of

  What happens to a sim6,jvyi dpd*4 o;(6c sm2gbo bzple pendulum's frequency if both its length and mass are incdi 6(g6,;4mo2z*c pjdbv sy obreased?

  Simple pendulum A swings back and forthfl .5z-dpn4ii at twice the frequency of simple pendulum B.n 5 zl.i4di-pf Which statement is correct?

  If you take a given pendulum to the 1neub . r lma(1u-6e/vmrh(naMoon, where the acceleration of gravity is less than on Earth, the resonant frequency of the pendulhmnr er m anub1l/-v .(u6ea(1um will

  Curve A in Fig. 11-1 represents- mv.rta g96rn+ova ,f

  Curve B in Fig. 11-1 represidf zaep99 r/-ents

  Curve C in Fig. 11-1 represents i;sax(cib7l -

  For a forced vibration, the amplitude of vibration is found to n,j6 b9qad,f 9o*czk udepend on the

  In a wave, the maximum displacement of,jb1qiaig+0zad / e 9hg)vs0i points of the wave from equilibrium is called the waveq0ebdgigih) i+za 91sv/,aj 0 's

  The distance between successi yz4 bpq3flp0(ve crests on a wave is called the wave's

  The number of crests of a:3 ao;xdd hep/ wave passing a point per unit time is called the wave'sep3h:a ;ddx/ o

  For a wave, the frequency times the waveleng y6)on-+4bg nlo oc/t8a ea*cu7y/qhlth is the wave's

  The frequency of a wave increases. What happens to tzu, fc/ 5f/; 1ujbistihe distance between successive crests if the speed remi 1s;t//zuf uc ,fb5ijains constant?

  A wave moves on a string with wavelength l and freqnzt2+m f,t;xwk d(c93ht3 r oluency f. A second wave on the same string has wavelength 2l and travels with the sam+l3 fkc ,d3zrnhw( omt;2t9 xte velocity. What is the frequency of the second wave?

  Consider a traveling wave on a string ofwbekh-; q*pwse+ q1 2w length L, mass M, and tension T. A standing wave is set up. Which of the followin;2+w q1qsw wbp*-ehekg is true?

  A string of mass m and length L is under tension T. The speed of a wm.hhqw ; m 5e/guq8l)katn6gausrj02n 42y 1t ave in the string is v. What will be the speed of a wave in the string if the mass of the string is incqry6t g gm2 aq4lt au2 /;ejsnhn k)hw15.8u0mreased to 2m, with no change in length?

  A string of mass m and length L is under tcbeu+e*ea gsxx:2: l9ension T. The speed of a wave in the string is v. eeesal+bu: :*29cx xg 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 ikpcjx.k4ct 5zvzl72 8h* h( afs under tension T. The speed of a wave in the string is v. What willh.fztv*x 4 ( kkhjc 8zp2ac75l be the speed of a wave in the string if the tension is increased to 2T?

  In seismology, the S wave is a transverse wave. As an S wave travels through thtu j 0nkyx6f*7e Earth, the relative motion betu76yfj* x 0ntkween the S wave and the particles is

  In seismology, the P wave is a longitudinal wave. As a P wave travels gkv1 k- * e6w;hg*jcnhthrough the Earth, the relative motion bet-e*j6hkn vkgh;*g cw1ween the P wave and the particles is

  The intensity of a wave c22;ow vrw4ny8jpq4 jis

  A wave pulse traveling to the right along a thin cord reac0b 5wzvgm rh hfg8y/r82cy)sj 3 y6l)ahes a discontinuity where the rope becomes thicker and heavier. What is the orientation of the refl ygzm yhl)f/ h2308a5s8b cwg r6j)vryected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each other on a .,ukv*k0n l awstring, one is traveling toward the right and the other toward the left. At tav0 klu w*n,k.he 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 3j)jum2adg t * ib/ev1the right has a positive amplitude, while the one traveling toward the left has an equal amplitude in the negative direction. At the point that the v2)3*uimjg/j1 tadb ey occupy the same region of space at the same time

  Resonance in a system, such as a string fixed at b20zxm 98yjwbd4mm2 xwoth ends, occurs when

  If one doubles the tension in a violin strihk; (0ynjb- 86y5yz5: ejn ;dxth+zstsn1cs n ng, the fundamental frequency of that string will incx h5jy(8ts1nds;zn-n6;kye5ynj:t 0h zs + bcrease by a factor of

  What is the spring constant of a spring that stretches 2.00*5bty0: m yf jhh82uwo.l:vg p cm when a mass of 0.600uowhf0p5l mj ytby:g2h8. :v* kg is suspended from it?

  A mass is attached to a9y3fovepacx/p40(t bcya : 5j 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 is the t0/cyyf 5oj: a 4a3ppxv(cbe9 amplitude?

  A mass is attached to a spring of spring co)vrzphf 3t:e*nstant 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* rz )hpftev3: its equilibrium position when it is oscillating. What is the period of oscillation?

  A mass is attached to a spring of spring vcgfvh- * 87j tgsx),pconstant 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 xcp v8 j-t)g*fs7v,hg 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 th0)eag 2b8triv xn.v 0grough 10 complete oscillations in 5.xr .g)vveti00 28 bgna0 s. What is the period?

  A mass vibrates back and forth from the free end of an ideal spring of sprinpgo6s33fr4 w sg constant 20 N/m with an amplitude of 0.30 m. What ip6rwfsgs33o 4 s 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 sprin/ min*(:kvng4eoo2b ter 24kig of spring constant 20 N/m along a horizontal, frictionless smiv/g2:b oro 4kt2i k*4(enenurface. 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?

  A mass undergoes SHM with amplitude of 4 cm. The energy is 8.0 J at this t,)nj wg36u+;cvvnjez ime. The mass is cut in half, and the system 6),zun3 wj+vgvecn;j 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 springz xz7xe5hwu zlz(;xc(h+9.u 9 mb*/gy u6bwpm of spring constant 20 N/m along a horizontal, frictionleshz/ zux( zm(*cy5wx6 7+wbuhx 9. pubeg zl9m;s 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 of vibration?

  A 0.50-kg mass is attachedu y h;dmo)lsy 7 esf-v06c*e,dap8nz. 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. At,m oa)ps0yhv;.e67lu*dfyc n 8s-zed 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 co v 8gc l)l9n/.ty/9 fdmqi0sxrnstant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the total mechanical energy of thi )i.glf9 mq08//9rt dln scxvys system?

  A 2.0-kg mass is attached to theb3w*.zi04e mkr fvsgma1e.s6x ;inl ; end of a horizontal spring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.rb*lmsmzs0.kgiv.ai n e 4w;ef x3;1610 m. What is the total mechanical energy of this system?

  A mass vibrates back and forth from the pb7 c1zke46os free end of an ideal spring of spring constant 20.0 N/m with an asocz 7e6 b1k4pmplitude 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 fro4 maufcgl88j ,m its equilibrium poscufgl a 8,8jm4ition 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 released?

  A 4.0-kg object is attached to a spring of spd j,a4uez:;xbj/99fr (zk xzq ring constant 10 N/m. The object is dispq(9;:/jkrbx juafxzz ,e9 dz4laced 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 constyj8, l2) ve-2 xwonfuttphth3f,w g1, ant 10 N/m. The object i2jwftl,12,gx ,vn8wthep 3th-)o yuf s 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 spring of spring con dxjlal(16,fqjtrg2m4 we v.,stant 18 N/m, displaced slightly from its equilibrium posit2vjjx fa,g4w,1ml rlt.dq6e( ion, and released. What is the frequency of its vibration?

  A mass is attached to a spring. m 5yn9-22lk ecw:ckzx(vg 6 hdwyn)g-It oscillates at a frequency of 1.27 Hz when di)h6n5 9(y -cgkyexcw-dz mkgv 2wn2l:splaced a distance 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 dib.t2 o/ntkq6q fferent 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 compa .tbnk 2t6/qoqre to the maximum speed of B?

  A 0.30-kg mass is suspehd8 3a(efb jqyw2nh/zwi xcyl 1;n 198k99nqended 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. Calcueq 9 nz989if;(c2yqnk/1xwjh3nl 8ae dbwh y1late the period of oscillation.

  A 0.30-kg mass is suspended on a s1 ;y3jmclf d8tpring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an addit; fj81 dt3lymcional 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 sprtbof *t )f)r-ping. In equilibrium the mass stretches the spring 2.0 cm downward. The mapf)rt-) obtf*ss is then pulled an additional distance of 1.0 cm down and released from rest. Write down its equation of motion.

  An object in simple harmonic motion obeys the following position versus time equf;d* 91bt2.f k pneujration:tr.*u;bk1fpnj 2f ed9
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion o +ds5yr00mut* ztain ;beys the following position versus time equa0r*n5dyt+mut0s z; iation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion os9+) q+5ws8izzyw3 ;mnhri 1zgmc,ev,hm fu/ beys the following position versus time equatimzmsm5hvyi1 +rg9 n ;w,z) iuh/c3ezf ,8w+qs 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 execute 8 ypt;vdm,,c/(dobwp:jouw + s simple harmonic motion accordin;o+8jdpu/y( bt, mvc wd po,w:g 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 fori ih 398rxrof-7sb(o vce constant of 20.0 N/m oscillates on a horizontal, frictionless track. At t= 0, the mass is released from rest at x= 1oxo f 9r-b8i73 ihvr(s0.0 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) W4e kse/q *hc4what are its frequency and peris4kc/ h*qw e4eod on Earth?

  A 3.00-kg pendulum is 28.84 m long. What is its period on E;;r nmc8n1:avdzzj r c+/g/h darth?

  A pendulum has a period of 2.0 s on Earth. What is its levc8eimwo/ p8( ngth?

  The pendulum of a grandfather clock is 1.vves:8v0c1.w h8sf 1zuko)i r0 m long. What is its period on the Ear:s 8 e1czsui) vr8vv.f1hwo0kth?

  The pendulum of a grandfather clock is 1.0 m long. z0h r6xt*f 7jmz o)y;huc p2;m y6pto.What is its period on the Mo6m y0m2;f o 6*yjpurttz)7chohpxz.; on where the acceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg sp .hq1ugq8 f4pg kalb7(herical 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 would have resulted if a 0.bup7 qag q8h(g1f4 l.k50-kg mass (same diameter sphere) had been attached to the string instead?

A simple pendulum consisting of a 2iwadj* 1 ;/dz xw/it3s0-g mass has initial angular displacement of 8.0e. It oscillates with a period of /d jdw*;aizixw/t31s3.00 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*n/mn 7qhlke 7xa8pu4 a given time. The frequency of the wave is 120 Hz. What is* 47alkh uxen8nm7 p/q the amplitude?

  Figure 11-2 is a "snapshotdl soqwounh:: ,7s 8,j" of a wave at a given time. The frequency of the wave is 120,oq7 h:wusj l:s,no8d Hz. What is the wavelength?

  Figure 11-2 is a "snapshot" of (hoog-uh2k*da wave at a given time. The frequency of the wave is 120 Hz. Whathg(ou-2do * kh is the wave speed?

  What is the frequency of a wave which has a period of 6.00 ms?n g3sznt,( fo1

  What is the period of a wavsw8siy3)p,dx8j p 0(c7bdj/kl8cpd ee with a frequency of 1500 Hz?

  What is the wave speed if a wave has a m8 ms+ ip3(bzgrktj/:frequency of 12 Hz and a wavelength of 3.0 m?z+/(8bptmm si rgk:3j

  What is the velocity of a wave that has a wavelength of 3.0 m and a freque9x )j4m x41288xkd vdzjcy gjyncy of 12 Hj 2 d89kdjg4xz8xc1)v jym4yxz?

  What is the frequency of a 2.5 m wave travelifz.b 0-b -36j burue6wzx6:;nvtttve ng at 1400 m/s?

  A piano string of linear masse-78 kvegc 2zp density 0.0050 kg/m is under a tension of 1350 N. What is the wave speed?8zev-gpk e7c2

  A string of linear density 6.0 g/m is under a tension of 180 N. What is the v w(/ zxbrvnw2xbq ;/8dv;e1 nlelocity of propagation of transverse waves along the st1/w 2l x vzb;(/bwq nxdn8ve;rring?

A wave whose wavelength ispx6gk m8c3j( ; 0gbwh.yr: ohm 0.500 m is traveling down a 500 m long wire whose total mass i:mgrk;6. hyx0m c8wp3(b gh jos
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 propaj bz7hfijv 4sznnq91g28 5l1lgation of a transverse wave on a 2.0-m long string fixed at both ends is 200 m/s. Which one of th ni79 5812f4gzjql 1nvj bzhsle following is not a resonant frequency of this string?

  If a guitar string has a fundame ylg cvk:(-tp8o m;nb7ntal frequency of 500 Hz, which one of the following frequencies can set the string into resonant vibrpn ;(omc tk 8y7vlb-g:ation?

  A stretched string is obser ,(al5i*h4h ixro su)pved to 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 equara ,p4hii)l5oxh(*s ul segments?

  A string, fixed at both ends, vibrat+ ;o urgx9jzcedr3tmo:9r9e ;es at a frequency of 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency is needed if the standing wave pattern is to contain 4 lo me;doj+ o3 :xrcugr re99;tz9ops?

  A string of linear density 1.5 gh0l*cyg.p un w k6p;/d/m is under a tension of 20 N. What should its length be if its fundameyp;ng* dcluw06. p/khntal resonance frequency is 220 Hz?

  Find the first three 4-)hbaf kmxsx 8t)j v9harmonics of a string of linear mass density 2.00 g/m and length 0.600 m whekhxvba49)-t8fsxjm ) n it is subjected to tension of 50.0 N.

A string of length 2.5 m is fixed at bo ziny a;n3o3h5x1 bc4fth ends. When the string vibrates at a frequency of 81h;x f3i nb34 o5yzacn5 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.