The time for one cycle of a periodic procesr0ockz : nk*2xs is called the

  For a periodic process, the z / x/ujbao-nvm+- .)o6yd(azlzbm7xnumber of cycles per unit time is called the

  For vibrational motion, the maximum j6 3xm8t cb.ogdisplacement from the equilibrium point is ca.mt8oc xb3 jg6lled the

  A mass on a spring undergoes SHM. When the mass is atr2+3lfls vlm6lg u3m6cv0mg 3 its maximum displacement from equilibrium, its instant33 236 0fm+mcv lgvrl msgl6luaneous velocity

  A mass on a spring undergoes SHM. k 6zeb+4o86hyot rzo+ When the mass passes through the equilibrium position, its instantaky+8 e rohozt6zo+ b46neous velocity

  A mass on a spring undergoes SHM. When w t9 ndh+e(3lrthe mass is at maximum displacement from equilibri 3he(dl+9r twnum, its instantaneous acceleration

  A mass is attached to a vertical spring and bo-b1ljge y6;5,m 90bfs 3ip gzrm un(qobs up and down between points A and B. Where is theq( im ubb-fo,ng6yl5j;r3se9z pgm 01 mass located when its kinetic energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down betwe fi*7ivey6ft i: 8uk)aen points A and B. Where is the mass located when its kinetic energy is avikea :7fu8*6fti)iy maximum?

  A mass is attached to a vertical sp+-h5/k;ys h q*4ekpt3ui pq trring and bobs up and down between points A and B. Where is the mass located when its potential energy 4/rteh5uksiq +ph -yt*k;p3 qis a minimum?

  A mass is attached to a vertical spring and b /ybek*ech /2cobs up and down between points A and B. bc/ hk2*ecey/ Where is the mass located when its potential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-spring system prohxf 69kijx88l duces what effect on the sys6 hikx9j 8fl8xtem's mechanical energy?

  Doubling only the mass of a vibrating mass-ay:f 9a9 c-1wcthb6bgi nd-spring system produces what effect on the system's c9f1bycibh 9 : gw-t6amechanical energy?

  Doubling only the spring x -dcyn1 rbk;+yt zlos)r8y:3sj4k;gconstant of a vibrating mass-and-spring system produces what effect on the system's mechanical enlx-y bk;y) 1sj+rc4z83o kgd: y;rtsnergy?

  A mass oscillates on the end of a spring, both on Earth and on the Moon. Where ne8i*qg d 0 p(lh.k9vlis the period the gr8*viq(l l0k9e phd.gneatest?

  Increasing the spring constant k of a mass-and-spring7-;ndy,zc* quzvuu*i system causes what kind of change in the resonant frequency of the systemdzny*c;uq -u*7 v,z iu? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-andsy8lk8a ad 5f:-spring system causes what kind of change in the resonlfa 8:5s kd8ayant frequency of the system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mao, 1d2piofp d)hcm 76ass-and-spring system causes what kind of change idd pfhio26mapc)7,o1 n the resonant frequency 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 consiw+7 ,t t1 ;yuy2ippv8.m bnbylsts of a mass M attached to a weightless string of length L. For this system, when und 28n wilby;b1,+y7ptpmtuy.vergoing small oscillations

  When the mass of a sib(hy)up9 c7k1vda9pqmple pendulum is tripled, the time required for one complete vibrat9du(c 9 bh1 k7qapypv)ion

  Both pendulum A and B t m6,hg:psb 0.esdvehc*,+ syare 3.0 m long. The period of A is T. Pendulum A is twice as heavy as pendulum B. What is th 6ss vdsech ,p*g.mybt: 0eh,+e period of B?

  When the length of a simple pendulum is tripled, the time for one complete vz/hd,8w-jc1n grrvl1:oe tz7 ibration nvhdt,- 8zow1 ge7l:/1zjrr c increases by a factor of

  What happens to a simple pendulum's frequency if both its length and mass arirm n ):8-iszyq x0dt.e incrersniy-zi8qd 0.mt ) :xased?

  Simple pendulum A swings back and forth at twice the frequency of simple pen7f p1 u8pgwfq4dulum Bfuf7qw41 8pg p. Which statement is correct?

  If you take a given pendulumx y; whdo3x4c5 to the Moon, where the acceleration of gravity is leshdx35o;y4xwc s than on Earth, the resonant frequency of the pendulum will

  Curve A in Fig. 11-1 r:llknfa k 0lmswe 3dux9:v;a)inh409epresents

  Curve B in Fig. 11-1 reprk 9r, ull*.7 hyvlfg*resents

  Curve C in Fig. 11-1 represenj5 dubeyr)x r, k9,u;kts

  For a forced vibration, the amplitude of vibration is foi ut)ws)fuv1 b-nh 3a7und to depend on the

  In a wave, the maximum displacement of kksvsp; m94fly8 ng 10points of the wave from equilibrium is called the wak81 fvsyp s49kng0l m;ve's

  The distance between successive crests on a wave is calledptm fc3/7zec2 the wave's

  The number of crests of a wave passing a point per unit timex1ax t7/9qv ie is called the wave'xv x ie1at97q/s

  For a wave, the frequency times the wavelength is tmdp n/t;st(+n) f:dsbhe wave's

  The frequency of a wave increases. What hap ezp06-jusxsqlog q;q3 e6 gwy9 4(qw3pens to the distance between successive crests if the speed remains o j3(0 36 qgzsy49wgqe6ep q; -lquxswconstant?

  A wave moves on a string with wavelengtzo4mep 6h*y:zin)7yvyanepj 0 -xg85 h l and frequency f. A second wave on the same string has wavelength 2l and travels with the same velocity. What is the frequency of the second y yzi0-5x 7 6emv8hgjn4pa )pzyn:*eowave?

  Consider a traveling wave on a string of length L, ma,i7b y gv4q2v0t,len yss M, and tension T. A standing wave is set up. Which of the fo n27b4 ,q0e,vytivyg lllowing is true?

  A string of mass m and length L is under tension5m6ywz8 xa ui(sr aum(6 iycts9 9g:6b T. The speed of a wave 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, wi(9 iai 6xu6s:zym8 gty uc6b(a9srw5mth no change in length?

  A string of mass m and length L is under s.ab 78y*3yh0 z.s-sazw yi y:avc* tltension 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 int. .aac y:bh*y8iy7zwyssl0z v*as 3-creased to 2L, with no change in mass?

  A string of mass m and length L ist81.y loholf ocw)e7onm8;0 * *wwa na under tension T. The speed of a wave in the string is v. What will be the speed of a wave if8 cowloae*noty;7m. al hon w801*w) n the string if the tension is increased to 2T?

  In seismology, the S wave is a transvnsr+w8x ka t9 l--7wbgerse wave. As an S wave travels through the Earth, the relative motion between the S wave and thx-aw t7bsgln8k +-r 9we particles is

  In seismology, the P wave is a longitudinal waveuz9w0hg rhv4 c7 h:u+p4gq kz*. As a P wave travels through the Earth, the relative motion between the P wave and qp ckr ugz*g 4u +w:09zhvhh74the particles is

  The intensity of a wav0wm8mxn+e(jc m( 4 jdre is

  A wave pulse traveling to the right along a thin co9) ka b8,1weqta5oepoy 4xdk2rd reaches a discontinuity where the rope becomes thicker and heavier. What is the orientat9wo2 eb,5 aqdpo)k4 8ekayxt 1ion of the reflected and transmitted pulses?

  Two wave pulses with eqe;5:mhsq 71wn 2x:)cgu oyr dwp2;cpjual positive amplitudes pass each other on a string, one is traveling toward the right and :)n1 2hoge;cryp 5 mscjq x2d:7uw wp;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 th c1d8x,5 o:hqw e,de fomc3+bte right has a positive amplitude, while the one traveling toward the left has an 1:cd tbooh8mfe,c35dx ,q +w eequal 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 ju,bl ah6jt/8o:gzg ;string fixed at both ends, occurs when

  If one doubles the tension in a violin string, the fundamental frequency o;bom p)a5uz/ :wweg +yf that string will increase by a fyb auw 5z:gpmweo/;+)actor of

  What is the spring constant of a spr.j-akiw)c- l3ev ( /qcvziec.ing that stretches 2.00 cm when a mass of 0.600 kg - z.l-3iq e / wcc()ea.cjkivvis suspended from it?

  A mass is attached to a spring of spring constant 60 N/m along a ft52*z,*. :l a ywfik,fynzarhorizontal, frictionless surface. The spring is initially stretched by a force of * 2,ft5k*. :yw alfryzzi,afn5.0 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 spring of spring constant ,1ib(d kj62e u1awixs60 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 6 d1 swi(ik2 u1baexj,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 consta-(7cu t4fgd5tdi.pj.r ftf 82skiv/ wnt 60 N/m along a horizontal, frictionless surface. The spring is initially stretched by a force of 5.0 N on the mass and lett wd4rv 75(ig-d/. tsf.kj ip2 cf8fut 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 gbpkjw4) 8 /jo ea2x,qe05u;eaisns-k oes through 10 complete oscillations in 5.0 s. What ba p)a0kx/sj2w;qeoesk5j4-, u i8 neis the period?

  A mass vibrates back and kku 7krbwy tle/,p9 8(forth from the free end of an ideal spring of spring constant 20 N/m t, k8yk(wl/ br7pk9euwith 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 constant 20 N/m along a m8cv8r yj7 v3 41lvsinhorizontal, 4synl m8v8vc rv3 7ij1frictionless 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?

  A mass undergoes SHM with amplitude of 4 cm. The energy is 8.0 J at this t;9 kzu:6tkgolime. The;9kz6l:o kgt u mass is cut in half, and 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.(h swghn-c9t i3k.itg wg;u9 of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonicktigg9;sg h.h9-c3wtw u n (i. 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 to a spring of spring constant 20 N/m ru0q /tas9fp 3+zl 9qguzvy,jbd0d3:along a horizontal, frictionless surface. The object oscillates in simple harmonic 9azqz ftq0vgd0sjry 3u+ pbld9 u/,: 3motion 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 to xg/yb + hk2vkpbj. 3t9the 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 my h9v b3bk.kt2p+jg /xechanical energy of this system?

  A 2.0-kg mass is attached to the end of a horizontal spring of spring consta*:b(wcd yu fwikdg ,)iql0p(k+50uu hj88hgbnt 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the totalwlj 5:w0) u8gbu(0(g u ihdi,qh p8bckd+y*fk mechanical energy of this system?

  A mass vibrates back and forth from the freuathg.,.orc * iqh8m 87ppyh1 e end of an ideal spring of spring constant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kinetic energy of this vibrating mass tqhy8. h8,c*gu1pah ior.m7p?

  The mass of a mass-and-springs1eg ;k 6qc.x(jd+v lq 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 t jg+sqe.l 1;(qxv cd6khe mass had been displaced only 5.0 cm and then released?

  A 4.0-kg object is attached to a spring ry)*y 8mcb2liof spring constant 10 N/m. The object is displacbc*ryily)28 m ed by
5.1 cm from the equilibrium position and let go. What is the period of vibration?

  A 4.0-kg object is ak t9u:ql u zz1(vyl0 04bf7wcuttached to a spring of spring constant 10 N/m. The object is di0 u(0zb 7lqyuf4vzl u19ctk :wsplaced 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 1 u4h ee4-yf yvbltzjj,/ s*8(c8 N/m, displaced slightly from its equilibrium position, and released. st 4he-/f ulv,yjc8 yzb*4ej(What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequency oa c(jx drj0+/4-vy nxcf 1.27 Hz when displaced a distance / +0d4n yj(cx cx-varjof 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 wi51nsgpym 4id )/nz e)sth amplitude of 8.0 cm at a frequency of 10 Hz and mass B vibz)inpd ss1n/g )4 y5merates with 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 equilibrium thb+wr4(h1jyhfi0d au)(qzb y : e 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. Calculatdh fb+a(4buriyy)hj0 wq1 :(ze the period of oscillation.

  A 0.30-kg mass is suspenpt/yuob: g:p sn+67du per7q7ded 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 r:up:77pseby /pnqd6otg7+ u cm down and released from rest. Calculate the total energy of the system.

  A 0.30-kg mass is su: la5jt7* 7rar/jufytspended on a spring. In equilibrium the mass stretches the spring 2.0 cm down ur/ :5*lft7ryjjaa7tward. The mass 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 harmoni7drot*q:tz6 +ze:um :fv ru eu :qz5.i-:ktq wc motion obeys the following position versus time equatw6qtr : u5::qfqz*:.m-izeuto:rtud kv7e z+ion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple /s2h; ixu+pu:jft o*hv500qstwc cy0 harmonic motion obeys the following position versus time equatiofq 02jhu0*c wvt :xyusp /;5+s0ohitc n:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion ofp8 9xc a o8g8rxf)p*u e,9cwrbeys the following position versus time equgpxe 88w9xopuar,r *cf)cf89 ation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes s 1c-fp:b om)0m+mmqatimple harmonic motion according to the equatimmo+cq1m m -0b)a :tfpon $y = 0.50 \; \sin (18\pi \times t)$ 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 oscijukl*:q m6 (e bbz7x1jiba d4(llates 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 cm.):zb(aie jbb1m kl(j67 d4*uqx
(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 comqns 1doq09 5aebe w9;igq nhrw:0.;ic plete swings in 8.0 s. (a) What are its frequency and period ohd oqiw: e5;ia 9b ecqw9r nn0q.;1s0gn Earth?

  A 3.00-kg pendulum is 28.84 m long. What is its period u/5pe6ca,k c9y8d tb don Earth?

  A pendulum has a period of 2.0 s o)o 8lt bna7f8ll mi/f4n Earth. What is its length?

  The pendulum of a grandfather clock is 1.0 m long. Wha t su+*-yaain5t k0k:zt is its period on the Eark ntaksu*a5z+ty -i:0 th?

  The pendulum of a grandfather c9vkytpo(vi-*8lso x.j q51v glock is 1.0 m long. What is its period on the Moon yk91xjtig 58p-qovvo s.*l(v where the acceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a yq 8x 76.ywi0yai0f ez0.25-kg 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. What frequency would have resulted if a 0.50-kg mass (same diameter sphere) had been afexi67y.qwi0z8a y0 yttached to the string instead?

A simple pendulum consisting of a 20-g mass has initial angular dwdcq + (oga-,cisplacement of 8.0e. It oscillates with a period of 3.00 sowgdqc c+ a-,(.
(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 frequency of ther:2a jp*y4+s*0 slze d.ot.etxsv(hm wave ism:2ep+zs*. *sy0xl4vdtr(eot .h as j 120 Hz. What is the amplitude?

  Figure 11-2 is a "snapshot" of a wave a,gon :59 2 ftdxtjlwy6t a given time. The frequency of the wave is 120 H fx: ,y2ljn 56gwt9tdoz. What is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given time. The freq0rt s6c iqnj(3t 5ut5zuency of the wavjn35z0rqtui (t 5t sc6e is 120 Hz. What is the wave speed?

  What is the frequency of a w k)ztkhv;s1ay7 :,i-pav+fnx ave which has a period of 6.00 ms?

  What is the period o xn2nmujp3nx,5 l :fi;f a wave with a frequency of 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz and a wavelength of nyhsn 7o6 2*dg3.2h onsd yg*n760 m?

  What is the velocity of a wave tfb,8 to,o o9b2 o7jgwchat has a wavelength of 3.0 m and a frequency of 12 Hzb8joob,92 o7cgot wf,?

  What is the frequency of a 2.5 m waveycen5dyx2 05a w,aj/dtav - 9i kp9e4d traveling at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m0gaanyp9v 6n:n g-og 6 is under a tension of 1350 N. What is the wave speev 9gn6 6gya: -npogna0d?

  A string of linear density 6.0 g/m is under a tension of 180 N. zfiib .9p1*r n What is the velocity of propagation of transr bin z*f.1i9pverse waves along the string?

A wave whose wavelength is 0.500 m is traveling down a 50;o q15d9nt sbuihvp(i* )0cjl0 m long wire whose total mass isd)t05q *o si cbu 9l;jpvi1hn(
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 fixed a be-gq: ul,3ljm2. f fmxu)w5dt both ends is 200 m/s. Which one of the following is not a resonant frequency of this string?mlbl3 )jf-g fex:q.u ,2mwd5 u

  If a guitar string has a fundamental frequency of 500 Hz, which one of ak9r *mp54 q:lb*.dd ;s-grlanbl 6wvy0(gf kthe following frequencies can set thlfbs v( gbak; 6gkr0y-* n5aql49*d r:ml.dwpe string into resonant vibration?

  A stretched string is observed to have four equal segments in a standing wavs+xj0zu p b 9g*v79ap)7tbup qe driven at a frequency of 480 Hz. What driving frequency will set pppga)u9bq*u 7bs0x79 v tzj+ up a standing wave with five equal segments?

  A string, fixed at both ends, vibrates at a frequency of 12 Hz withhf6o4k1 o/xpdkk f9 +gmtp8v- h5q (yl a standing transverse wave pattern containing 3 loops. What frequency is needed if the standing wavh -8hxd96(4 + /kqov5kp 1ffltkmgpyoe pattern is to contain 4 loops?

  A string of linear density 1.5 g/m is under a tension of rp9f+ap 8.,ov5;wzeb* v wwja20 N. What should its lengt9jov8z*fp a,+wr.wpe5 ; wavbh be if its fundamental resonance frequency is 220 Hz?

  Find the first three haryz,kqm )mv4d, : u,ewa1ogd- hmonics of a string of linear mass density 2.00 g/m and length 0.600 m when it is subjected to tension of , w)amzoydk,v1g mueq 4d,-: h50.0 N.

A string of length 2.5 m is fixed fy;fcn fbh2c. 0q t0q4at both ends. When the string vibrates at a frequency of 85 Hz, a standing wave with five loops qf 4c2fnqt yb ;h0cf0.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.