The time for one cycle of a periodic process is called g h:hbl 1 k*br-pvln6 3exa;x+the

  For a periodic process, theya)syfu6 3flfsl4c,) l z pmjl: 78z;a number of cycles per unit time is called the

  For vibrational motion, the maximum displacement from the scks9/f)p ,ir equilibrium point is called if) ss9ck,rp/the

  A mass on a spring undergoes SHM. When the mass is at its maximum displacement 2iygwt6iev 9; 4)t2j:p/lissv /xwec from6/v29t/i wspclxw: ;iye2t )sv geji4 equilibrium, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass passes thrbz1wb1h* 4 l) ozpuj) wdk5qe9vau x5;ough the equilibrium po;5b5 lazke41h qw)9bx*)up1u dojzwvsition, its instantaneous velocity

  A mass on a spring undergoes SHM. Wpb cammub(ml 9;84 dh-hen the mass is at maximum displacement from equ um cl-d4a9b8hm bm(;pilibrium, its instantaneous acceleration

  A mass is attached to a vertical spring and bobs up and down betweeayf y5t)m gki7b2-*aon points A and B b*5-fma2)ay k7 ytigo. Where is the mass located when its kinetic energy is a minimum?

  A mass is attached to a vertical spring and bobs ucp+hl u4 6x 0f-yn3trhp and down between points A and B. Where is the mass located when its kinetic energy isx4yfpcuh-60 +n3lrth a maximum?

  A mass is attached to a vertical spring and bobs up and down between +pu3jt2x/u5xu hk94 5aga p*f+ xgxgnpoints A and B. Where is th4jntghxu pxuxxag 59af*+g+5u2k3/pe mass located when its potential energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down between points g-+9ry+6 qr*auhm y guA and B. Where is the mass lor9*+uga6 +mhy ug y-qrcated when its potential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-ar e tglxecs ;w - /ab7(c,utkd)dh/n5.nd-spring system produces what effect on the system's mechanical s etlb)w/egut7,cd.c r-nd( h xa5k/;energy?

  Doubling only the mass of a vibrating mass-and-spring system produces what effec -f3rc9dzv2ec96a hoa- a32ard c99hcz6eovft on the system's mechanical energy?

  Doubling only the spring constant of a7s*bml j-w-fr vibrating mass-and-spring system produces what effect on the ss r-jwf- l*7bmystem's mechanical energy?

  A mass oscillates on the end of a spring, both on Earth andgb 0j7+ghnn d*h nx8/c on the Moon. Where is thdn7h8/nxj ng*0cb hg+e period the greatest?

  Increasing the spring constant k of a mass-and-spring system causgoi4x.2 o4cc i xd2d4,xo-htces what kind of change in the resonant frequency of the system? (Assume no change in the system's mass m.c2d-2cdoio 4c o4xgix., h4 xt)

  Increasing the mass M of a mass-and-spring system causes what kind oe7 by5a5o+ llcf change in the resonant frequency of the system? (Assume no c+ya75loc b5 elhange in the system's spring constant k.)

  Increasing the amplitude e a4bbzum4-ixnkf ./5of a mass-and-spring system causes what kind of change in the resonant frequency of the system? (Assume no other changes in tbne44z fu/.m-axkb5 i he 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 atta g*l 8 a9o9jpyuku6 ,t)*xldwcched to a weightless string of length L. For this system, whetu, 896c pklw9x*o gjdua*ly)n undergoing small oscillations

  When the mass of a simple pendulum is tripled, the time my3x jgv/h(9fc ;e:so fwmk53 required for one completem3 :j veygcx w5f(;h/mk3o9sf vibration

  Both pendulum A and B are 3.0 m lon v k4+1z;nodguzzz wgf7otx 1. b.5(xcg3p ,teg. The period of A is T. Pendulum A is twice as heavy as pendulum B. Whatw pb+ zkvon. 5txc dzog(4 z;,ggx11e .3ut7zf is the period of B?

  When the length of a simple pwz:n azd* kz+4endulum is tripled, the time for one complete vibration increases by a factor of*: w+4kzznz ad

  What happens to a simple pendulum's frequen)0/zg p;kud qucy if both its length and mass are increaskd g/pq;u uz0)ed?

  Simple pendulum A swings back and foz9- o4 53uboeh)s gdasrth at twice the frequency of simple pendulum B. Which statement is correc)dh5bao4 ue9sgz so-3t?

  If you take a given pendulum to the +cg jo4nl 3s*4lkw3nb Moon, where the acceleration of gravity is less than on Earthll33wn4jcb4s go+k*n, the resonant frequency of the pendulum will

  Curve A in Fig. 11-1 represep:/c:macmgi4 eu h55f nts

  Curve B in Fig. 11-1 reprw(n/soebzf l *f;r(f+ esents

  Curve C in Fig. 11-1 represen/hs;t ak 689zuh4on fyts

  For a forced vibration, the amplitude of vibration is found to dxeo2de*;h kv ;epend on the

  In a wave, the maximum displacement of points of the wave fld9plf 66xv mny-n, )mrom equilibrium is called the wave'lm-)9ndfp,mx6 yl vn6 s

  The distance between successive crests on a wave is callek2ytuv16 kp6j d the wave's

  The number of crests of a wave passing a point per unit tt1.co9+a p uftime is called the wave'ucopaft t1 9+.s

  For a wave, the frequency times the wavelength is the wav o ,6co;strn0uryk:x:e's

  The frequency of a wave increases. What happens to 7s8hf ibnh-zu imr/)3 the distance between successive crests if the speed remaini )bs3rh/mu78-hzi f ns constant?

  A wave moves on a string with wavelength l and frequency f. A *rf1q c)gc, j ri;co4esecond wave on the same string has wa *)efqr,o i1rc g;4jccvelength 2l and travels with the same velocity. What is the frequency of the second wave?

  Consider a traveling wave on a string of length L, mas+rv;l9fm,hv u s M, and tension T. A standing wav9,+h mlvvu f;re is set up. Which of the following is true?

  A string of mass m and length L is under tension xcj 3q0 (qt5-vrezyx ncby* ,;d+wym* T. The speed of a wave in the string is v. What will b*;+v-crxe zdxny w5,yqyjtb *( 30 cqme the speed of 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 length L is under tension T. The speed oqf45bazg x6 c(f a wave in the string is v. What will be the speed of a wave in the string if the length is 5q(b4 f6zaxg cincreased to 2L, with no change in mass?

  A string of mass m and length L is under tension T. The speed of a 0f krsol)kz)ap/yw1 ;wave in the string is v. What will be the speed of a wave in the string if the tena rsf/0pwkz)o 1yl);k sion is increased to 2T?

  In seismology, the S wave is a transverse wave. As an S wave travels throughf/:48zj jp ykf the Earth, the relative motion between the S wave and the particlesjy :/8fj 4fkzp is

  In seismology, the P wave is xo 7 225h*9uygj 87fkvlekelaa longitudinal wave. As a P wave travels through the Earth, the relatu l 7*kk ge259o2fhe7xl8v jayive motion between the P wave and the particles is

  The intensity of a wave ()4ewcqfey4k is

  A wave pulse traveling to the rjdnroy r5a;(a4y0- bgpk3rj :ight along a thin cord reaches a discontinuity where the rope becomes thicker and heavier. Wharya5gk jo 4 y(rb-npad3;jr0:t is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each other hvf4rk5d) -eg wx/o .pon a string, one is traveling toward the right and tkd .h go fr/pe)45wx-vhe 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(, yp*gm ukfrj3(t9 mq cma+x. the right ha., *9x +q mcj3tmug(pfmr(ykas a positive amplitude, while the one traveling toward the left has 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 strinoi9k2 umq )u+9b/ldkag fixed at both ends, occurs when

  If one doubles the tension in lqms b0ng/, 2b*lk/g9;k 1mypsbkda 1a violin string, the fundamental frequency of that string will increase*d/lp2nslm a,qym ;kgk /kb1 b0 s1bg9 by a factor of

  What is the spring constant of a spring that stretches 2.00 .ukszg cu,sgpj:y1k es)7 7e 8cm when a mass of 0.600 kg is suspended from it?8gzjkue,)y7s: kse 1c u.p 7sg

  A mass is attached to a spring of spring constan m-gd j+62hb qwm1ql+vt 60 N/m along a horizontal, frictionless surface. The spring is initially stretched by a force of 5.0 N on the masv6l gd+mm qwqb1h+-j 2s 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 60 N/m along a hori0d w*:ovw2drx 3 wb/ztzontal, frictionless surface. The spring is initially stretched by a force of 5.0 N on the mass andz/v b3t 2dwr*0xw:owd 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 constant 60 N/m along a horizontal, fri t.1ktf.mb5/ys wvzlr+ do-0qctionless surface. The spring is initially stretched by a force of 5.0 N on the mass and let go. Irtylz-+fkqs.v md 01. b/5 wtot 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 undczgfs- 6*oa bm8zp (:xergoes SHM. It goes through 10 complete oscillations in 5.0 s. cfm6-8a(b xgzp: so *zWhat is the period?

  A mass vibrates back and forth from the free end of an idev,fc 9y;tk;stz95erz al spring of spring constant 20 N/m with an9 k,r59etzv;tyz c;fs 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,vcsc4i: 4 t ;uoxn5waj21daa a horizontal, frictionless surface. Thecjci 1won;st4v5x u2a,d aa:4 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 bph1bgr md /vu4/oe+d lm42z3is 8.0 J at this time. The mass is cut in half, a1zmr3+e2o 4/g bm vh/4bl dpdund 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 spjq;4be(h6(lmcd14qaktnd - x ring of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmoa1d4 ek(j mxn-c(6bqhl;t4q dnic 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 spring5 op)7n+,qt+7trg o:luit iug of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a )tonuigpi+o l tq t ugr+7,5:7speed 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 attacha+k,)xdm61 (xv)koz u9vaq rs ed 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 o6a xx) mvzs rqk1 )(vd,+uk9ais the total mechanical energy of this system?

  A 2.0-kg mass is attached to the end of a horizont 5t1.a-euvxn o1ikv(m al spring of spring constant 50 N/m and set into simple(tvu 1-n.5 1oxviemka 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 the free end of an ideal qx0nqw;k(d:/qdiv94 ytqpsz* ru ); ispring of spring cod0 n(:w;ixst/p*qi4qzu)k; q9rdqy vnstant 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 displac ,8q)qinnoz)4 3r mqom6hzom1ed 10 cm from its equilibrium positn)om,o6qio q) 18r3nqm4mhzzion 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 spring c:b) fm/a/hgfo onstant 10 N/m. The object is displacef/mab f:go) h/d 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 m/ efs*(xss 6cspring constant 10 N/m. The object is displaced 6s x*ses (fcm/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 + a- 1e t( mhtyydnnij-s*0c1hof spring constant 18 N/m, displaced slightly from i+dh10 jit(tay* cny nem -hs1-ts equilibrium position, and released. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates atr5 yum8/0r( x :q2dhiklskks7 a frequency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What is the maximum velocity attained by the mmr0(2k/ syd rs:lk kqx5iu87h ass?

  Two masses, A and B, are attached to different spzd 9 ur;v9rifsi/n pds: n/2:lrings. 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 comparedzu:i:r ;vs9 nr/p29/sdlif n to the maximum speed of B?

  A 0.30-kg mass is suspended on a spring. In 2lo e)a .oab fjoer:ge(u*6-l 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. Calculate the period of oscillata o:eje gab().ouo *e6-f l2rlion.

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass stretches the s z , 9sk+b2ng8hoyz :wgt; q*rep (zsum;je.3vpring 2.0 cm downward. The mass is then pulled an ye8gnzeb,;w*3(phz jm;rk+zg s to2us9.vq :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 mtb.z42j h6s g*p2cpxcass stretches the spring 2.0 c *cbc24jpsht.zg6 px 2m downward. 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 harmonic fn1ts3nzh y1.bh s 1w7motion obeys the following position versus time equ1w13f.n by tzs h1ns7hation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following position versueb 0xe2 sx5ccpi ,*vv0ps8ko.s time equat cipx*. ,25 bev8xp00sk cvseoion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following posdm7 + q.ou w 6egmj.z:x*u5pxgition versus time equati. zqgm*gdx+uexm j57.o:p6u won:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple harmonic mcfrdtnfg.e -,w60f)tf7gudo- s1 n.gb2 eej1 otion according to the efnc 6n) uo e0tswdre.-2-g1fd t.fge7f1 b, gjquation $y = 0.50 \; \sin (18\pi \times t)$ 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 o0 wa9 sn4 qg;ulop*0uff 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, thes0gp;an94ouq*u 0l w f 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 ck0gf,vt2xtv nnb:nslra 61 2 1omplete swings in 8.0 s. (a) What are its frequency and perioda b1n0tsx26,fgn2kv rl v1t:n on Earth?

  A 3.00-kg pendulum is 28.84 m long. What is its period on Earthrt9f8d/ it;k4:, x*mkdb 9 vnybmun0 l?

  A pendulum has a period of 2.0 9;.fq9(u0: *p)hdr g9wdyrcqj crhh ks on Earth. What is its length?

  The pendulum of a grandfather clock is 1.0 m long. What is its period7q ym:wbn9 ;w,y dw7pc on the Earty :wbn m;7 97qywp,dcwh?

  The pendulum of a grandfather clock is 1.0 m long. What is iea cwcm61k 5pz8dd.v:k s 7sv)ts period on the Moon where the acceleration due to grav81w:m) eadvc.k7vdkc6 s5ps z ity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attached to a massles5tywa4.lp)(pd df d;c s string. When the mass is displaced slightly from its equilibrium position and released, the pendulum swings back and forth with a frequency of 2.0w );(lp 4ydpa.cft d5d 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 9v.k8ps;s)os+n9p 3xey + t8fxua zqqinitial angular displacement of 8.0e. Ix;3 skeqovz +fsp+n)p8 s 9txq9a 8y.ut 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 cgq .h4n-+a yrkv p5thg1wd.,given time. The frequency of the wave is 121rh5p .c.gd+q h nyak,gv4-w t0 Hz. What is the amplitude?

  Figure 11-2 is a "snapshot" of a wave a ,ezm a ve3;zo34f4ybii3spkj7) jv/ot a given time. The frequency of the wave is 120 Hz.kbvs4 moe) f,j vj /i;eapyoi37z3 z43 What is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given time. ,6p i 4m(xzh ,.cjqa;nots jh,The frequency of the wave is 120 Hz. Whath;jnhx4i matsj z,pq .(o,,6c is the wave speed?

  What is the frequency of a x(f.zr6:b vxw 3x2omw wave which has a period of 6.00 ms?

  What is the period of a wave w:ddai:6sfh,w6z9ea8 0ybj np+mmsj+ ith a frequency of 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz and a 0gbf;qpz2 n*:oz5s epwavelength of 3.0q0b;5pzsnoez: f2g* p m?

  What is the velocity of a wave that has a wavelength of 3.0 m and a freeq7hgim9hnit 0j+-0j(-xuf j u ./ nfhquency of 12 fh7hu- h i+fxt-j gui0jn0/(.enm qj9 Hz?

  What is the frequency of a 2.5 m wave tri4*d a2dq2z07gr kmcz9wzq w2aveling at 1400 m/s?

  A piano string of linear masxo/bwo (2wl m)s density 0.0050 kg/m is under a tension of 1350 N. What is thl wwo2/o(b)x me wave speed?

  A string of linear density 6.0 g/m is under a5zv v i0*di2rr tension of 180 N. What is the velocity of propagation of transverse waves along the stringriv2z05i* dv r?

A wave whose wavelength is 0.500 m is traveling down a 500y: lav9kpq46 s-v3z )6aab qlb m long wire whose tot4 v6b) kabz :9aqal 6lsv3yqp-al 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 propagationlnri1b r46tpk.o 4z.t of a transverse wave on a 2.0-m long string fixed at both ends is 200 m/s. Wt i.l.r 41k6noz4ptrbhich one of the following is not a resonant frequency of this string?

  If a guitar string has a fundamental frequf 7941w/)wztn1g d lr egfk;asx 5k3czg,fvw-ency of 500 Hz, which one of the following frequena3r x k dz4wk-t 7s1fg gv e5fw;)lc19nfwz/g,cies can set the string into resonant vibration?

  A stretched string is observed to have four equal segments in a u 3e 1kvhfe4ru-zdl04 standing wave driven at a frequency of 480 Hz. What driving frequency will set up a standing wave with five equal segmentzh4 kr3v leu0ue- fd14s?

  A string, fixed at both ends, vibrates at a frequency opa2, c)n w)muof 12 Hz with a standing trawupmo an ,c))2nsverse 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 under a tension of8ei, g)vpiu7 y 20 N. What should its length be if its fundamental resonance frequency is 27evg,y) ip8iu 20 Hz?

  Find the first three harmonics of a :7z kw sm8mj)g1mjv5h string of linear mass density 2.00 g/m and length 0.600 m when it is subjected t8wgs57)z :mjmk vm1h jo tension of 50.0 N.

A string of length 2.5 m is fixed zdbl+;pd0b m1 at both ends. When the string vibrates at a frequency of 85 Hz, a standing wave with five ;0ml1bz d+dbp 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.