The time for one cycle ofw hz ;m.)vzfqmb2l07*9ozo 1ivoz-dg a periodic process is called the

  For a periodic process,o w:i6aec+gf) the number of cycles per unit time is called the

  For vibrational motion, the maximum displacement from the equilibrium point is..ix b6rpgrp)gn; fn4 calrfpib 4rg.;gp 6n ).xnled the

  A mass on a spring undergoes SHM. smq 2.6nk1c ,5,dt* inrfuwxub9 y/hf When the mass is at its maximum displacement from equilibrium, its instantf*qk i u.9r s/nf5tm26,cnw ubdx,h y1aneous velocity

  A mass on a spring undergoes SHM. When the mass passes through the equilibriuu(-cl1(f3y bmjky -r hm position, its instantaneous velo3mf 1b cyy(- hk-jrl(ucity

  A mass on a spring undergr4fa269mxvzt* :j gpk oes SHM. When the mass is at maximum displacement from equilibrr6xzt v*g f:kp9a j24mium, its instantaneous acceleration

  A mass is attached to a vertical sprh,m54y/zotugfi 2r1 9vi 1lppe0xr o.ing and bobs up and down between points A and B. Where is thezv, 0rfrtuoh/y214 go i 91 lx.5imppe mass located when its kinetic energy is a minimum?

  A mass is attached to a vevd gnt/ rcc.8gg;g,h:rtical spring and bobs up and down between points A and B.cgv ; :htgd.cn /g8g,r Where is the mass located when its kinetic energy is a maximum?

  A mass is attached to a vertical spring aq mfdkeo u0t 8rh3ely7v2oj90 br ,(-otgq1.vnd bobs up and down between points A and B. Where is the maeftt8vhko17ud,lm2 .q 0jb 9 v0g-r( roqyo3 ess located when its potential energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down between points A *0n8qazjejns0i g wp+:t:e-i and B. Where is the mass located when its potential energy is a maximuz8aqi* -et0ng+ :pe:nwj jis0m?

  Doubling only the amplitude of a vibrating massg + ,lp5q2dilh-and-spring system produces what effect on the system's mechihd 2lpgl5 q+,anical energy?

  Doubling only the mass o4 kn3zf5yho,kf a vibrating mass-and-spring system produces what effect on the system's mechanical k 3,ohnkz f45yenergy?

  Doubling only the spring con )t) hzws -m:y99jq: bkp+jywrstant of a vibrating mass-and-spring system produces what effect on the system's ywj9wz:-k9tjh r ):pms)q yb+mechanical energy?

  A mass oscillates on the end of a spring, both on Earth and on the M,zlmdsnx,83 goon. Where is,z ,l3nxmdgs 8 the period the greatest?

  Increasing the spring constant k of a mass-and-spring sys0ad4fv-p g;m ttem causes what kind of change in the resonant frequency of the system? (Assum4d-ftg;0 a vpme no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring effqf p .5-y3m8o5 e9wth-zj vsystem causes what kind of change in the resonant frequency -owq8jemeft.hzy f59v5- pf3of the system? (Assume no change in the system's spring constant k.)

  Increasing the ampliv f:;qo 2ud:obtude of a mass-and-spring system causes what kind of change in the resonant frequency of the system? (Assume no other changes in theoouv : 2fb:d;q 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 consilqgak py *iwrvc. .86+sts of a mass M attached to a weightless string of length L. For ta*lypc 8v. k6q +rw.ighis system, when undergoing small oscillations

  When the mass of a simple pendulum is 06y2nkfxek,nfd; d (j tripled, the time required for one complete vibrnx2n kjffd0e, ;(kdy6 ation

  Both pendulum A and B are 3.0 m long. The periodj.w;1gpgn g(oyvof 39h wg(i.cm 8n0l of A is T. Pendulum A is twice as heavy as pendulum B. What is the period of8.vwc m1njg0( l nw;og(hpgfoi.y 93g B?

  When the length of a simple pendulum is tripnqh zv os. -d9j5gvo0,b:xmq 9led, the time for one complete vibration increases by a fasoj-x90v g5z h,:d nvmq.9qboctor of

  What happens to a simple pendulum's frequency if both its le1m))3ixvu pf:wx8y( mbt in4 qngth and mass are in u() )x 4fypm13nixw m8tvibq:creased?

  Simple pendulum A swings back and for-e38a n k3kvanth at twice the frequency of simple pendulum B. Which statement is corree3n3aankk v 8-ct?

  If you take a given pendulum to the Moon, where the acceler cz1as 0b3j1eration of gravity is less than on aecr1j1s3 z0b Earth, the resonant frequency of the pendulum will

  Curve A in Fig. 11-1kvnybbpm: w3).ji6 /6w ajqs( represents

  Curve B in Fig. 11-1 reuoju:qhta frpcu6; * +ca8x),cw2 u-wpresents

  Curve C in Fig. 11-1 represe :navgl; 7c0sxnts

  For a forced vibration, the ew6amgzo(lrm 48 *8 bx7b;dv;luejt6 amplitude of vibration is found to depend on the

  In a wave, the maximum displacement of points of the wave from equilibrium iso fyqf9z*)fr: ;tg5c9 j(ta2m+ dkessr9/civ called thee f zqs)rcm9jisc9 f+g a;(:*tv9d/rfoyt52k wave's

  The distance between su :h7yn9 g b;6koouy:xdkec, -xccessive crests on a wave is called the wave's

  The number of crests of a wave passing a point per unit time is called the wavml3 jxw /qqrs3io967dkqsv n.w (+u2x e'w39x2o qw/7+ss.j3qxqrniukmv ( 6dls

  For a wave, the frequency times the wavelen,l f1ruo16lup p:ghlkzq:r0*u+;i dsgth is the wave's

  The frequency of a wave increases. What happens to the distance between s02 wqufkv99n 0qo.eb buccessive crests0wf oke 0 qb9b.9vq2nu if the speed remains constant?

  A wave moves on a string with wavelength l and frequency f. A second wave on the b8ms ixny+vz-qe59egj8;tzyv 2rp:3 same string hase vm3r2j 5qn-g8vs9ze:+i8 tb;yzp yx wavelength 2l and travels with the same velocity. What is the frequency of the second wave?

  Consider a traveling wave o3459ekpfm fk .v(j dphpb p;k(n a string of length L, mass M, and tension T. A standing wave is set up. Which of the following is t.kjvpfmfb9 h ed(3p pk4 ;(5pkrue?

  A string of mass m and length L is under tension T. The fvs2+;a8tpje*j 9jtt:ve u +dspeed of a wave in the string is v. What will be the speed of a wave in th;pdt: 2 f+tue+ jjse9 t*avvj8e 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.pj+ hko wj3+nyfks-oh9tsms;)9 /qc1 :ap8q v 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 increased to 2L, with nkm9/ j kyqp v)+hf+81 apososj:9qw3h-;tc s no change in mass?

  A string of mass m and lengthf +f4cfmp7kw.gl 88eh L is under tension T. The speed of a wave in the st8 4efg.fl pmf+wkh87c ring is v. What will 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 thn/1,i oujek w/rough the Earth, the relative mjoi w1e,u// nkotion between the S wave and the particles is

  In seismology, the P wave is a longitudinal wave. As a P ((hgr kdc6 /o;*hdgz nwave travels through the Earth, th*g; ohdzcgd (h/r(n k6e relative motion between the P wave and the particles is

  The intensity of a wa5c.hxf 6nm2 gj x4zyuf x)/q jjmk,wcw2p. d15ve is

  A wave pulse traveling to the right along a thin cord reaches ;tp2 9avvssddm6o+-fd0o3 lla discontinuity where the rope becomes thicker and heavier. What is the orientation of the refs-odv 3 ;2tf0mvs9lopl+da d6lected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each ot-t(v6ed 8)+ +rlqwul9nbq )b g hg,vwiher on a string, one is traveling toward the right and the other toward the left. At the pu+qb-6)lq,i) we9rnb v(tglhd+ gwv8 oint that they occupy the same region of space at the same time

  Two wave pulses pass each other on a string. The onez;p )0v ccfcfxi2gji,v2a7) c traveling toward the right has a positive amplitude, while the one traveling toward the left has an equal amplitude in the negative diiia7vc0 c,pfjczf22c) )g xv;rection. At the point that they occupy the same region of space at the same time

  Resonance in a system, suchx tgg+pk 1 x3*vgb(he+ as a string fixed at both ends, occurs when

  If one doubles the tension in a violin string, the fundamental frequency b8d* lbm5a6ji.fx 4muof that stri.m6a54lb *bifdu8j m xng will increase by a factor of

  What is the spring constant of a spring that stretchzgey 95/xj(m ies 2.00 cm when a mass of 0.600 kg is suspended fr/9e(g j5 imxzyom it?

  A mass is attached to a spring of srs2cn(t+g q6q pring 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 tqnrg6qs+ t2c( he 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 sprin89m*cjkmgl4q;hdwd y 6yg 5-cg constant 60 N/m along a horizontal, frictionless surface. The spring is initially stretched by a force of 5.0 N ondyc94g 8jd*; my gl-h mc5w6qk 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 period of oscillation?

  A mass is attached to a spring of spring constant 60 N/m along a horizontal, f.dn -6r7mmgb*qm:qgorictionless surface. The spring is initially stretched by a forc.q7 dmor bqmg gn-:6*me 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 frequency of oscillation?

  A mass on a spring undergo9oy:vdo9h2 jfs w z*9nes SHM. It goes through 10 complete oscillations in 52dojn s99*wfo :yvz 9h.0 s. What is the period?

  A mass vibrates back and forth from the free end of an ideal spring of spring coen :pc:,far;8j tncx+nstant 20 N/m with an ampec; ,an jrx :+:fc8nptlitude 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 spriv +j:uwzvi)t0 js 43ning constant 20 N/m along a horizontal,w v)3+i:isnt0z4jjvu 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?

  A mass undergoes SHM with amplitude of 4 cm. The energy is 8.0 J at this pu9i3vx( 6cp1u7 7ayw fzjbm1time. The mass is cut in half, and the system is 79z 1mwc16ux yj7ubp3avip(f 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 constant 20 N/m along a horiz1dgdt jpp)fc z;- s7f9ontal, friction dfj)cfdp-;p197t g szless 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 attached to a spring of sprin ,tcakf w53bm3z:ug.g+ 8knlfg constant 20 N/m along a horizontal, frictio, fzk3t wg.5mugl8cf:+ a3bkn nless surface. The 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 to the end of0;lqj 6 hk4 )dftrxo1j 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 energy o dtljkrj46qx1;hf)0of this system?

  A 2.0-kg mass is attached to thejfv*sg4lhd :* jd pw4wax..,l 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 d jvdlf4w..,*pwj :4 lgshx a*is the total mechanical energy of this system?

  A mass vibrates back and forth from the free5ahz9-azjw* f end of an ideal spring of spring constant 20.0 N/m with an amplitude of 0.250 m.5 9hf*z -jaawz What is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring system n9kn n5.v2wo -uch(jbis displaced 10 cm from its equilibrium position and releasb95kjovn uc.n(-h2n wed. 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 tob7ndc) ur63i l a spring of spring constant 10 N/m. The object is displacedi)c3r bd7n lu6 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 N/m. The o-euv/:4ai8vp ud q 5l2h4 zhxebject ihi8 u/4dlqev 5v-u 2x:ep h4zas 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 constant 18 N/m, displaced su1u0wv 1lln z- 5ecv ,9joqh0blightly from its equilibrium position, and released. What is the frequency of it1vh9 nz05 uuo1ll,q0ec bwvj-s vibration?

  A mass is attached to a spring. It oscillates at a frequency of 1.27 Hz when j8 bht*dvvxso6c0(; p;q7zfcdisplaced a distance of 2.0 cm from equilibrium and released. What is the maximum vep7o hjsv;bdzxft ( 6vcq*;c80locity attained by the mass?

  Two masses, A and B, are attached to different springs1uvofh j5e/2v . Mass A vibrates with amplitude of 8.0 ch v1e2ofj5v u/m 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 to the maximum speed of B?

  A 0.30-kg mass is suspended on a spring. In equilibriu p21 00un)nls. lvblmik +ealsz9;sx*m 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.9e s).2px +i;nlalvl z 0busmsk0*1nl Calculate the period of oscillation.

  A 0.30-kg mass is suspended on a spring. In equilibrium the +h5; 0pcel,u;xjnbzv 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. Cav0uc b+;nxljpze,h; 5lculate the total energy of the system.

  A 0.30-kg mass is suspended on a spring. In equilibrium the mv,r bbm jko/22kd7* dlass stretches the spring 2.0 cm v jd,/d2*mkbkolb7r 2downward. 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 motion obeys the7 y7y(y15+qzif qonr d following position versus time equation: qyyi qd5y z71or(f+7n
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonfg;bdxgf88mdzsr uykn 8 88e- a x9)a+ic motion obeys the following position versus time equag89fa-8+md kg razb ;fs8x8y)nd8uxetion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following position versus :o w(+qdcr,feb:usgu);;n cntime equuq :dg,:nc+w ;nufcob(); resation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring execuadd9tt/4*y,oh,ko4ihiiimqz w.: ;an0 1vo u tes simple harmonic motion accordingh/1 9aov mi.n 0qh4k4u;iw*t ia io,dt,zd:oy 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.gt1+v;svb 5ki0 N/m oscillates on a horizontal, frictionless track. At t= 0, the mass is released from rest at x= 10.0 cm. (That is, the spv;1ik5sbt +g vring 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)t0pxu6w/w53w k 0n8; kbpovt j What are its frequency and period p0towv60 /;j w b x5k8tpknw3uon Earth?

  A 3.00-kg pendulum is 28..9 lhgzr0zo8m7brz -ga /x k+x84 m long. What is its period on Earth?

  A pendulum has a period of 2.0 s on Eae0+9,6 h)ody3 bo)yr:ipsu+sd mumyzrth. What is its length?

  The pendulum of a grandfather clock is 1.0 m long. 7o tt3 )jboo l5d9;-wii8athrWhat is its period on the Ea j7l i-oth;35brtow8d9 it oa)rth?

  The pendulum of a grandfather clock is 1.0 m long. What is its perisl rq hzjpgicg(h, 9 jpwx.26,/g/xfo6 8usd. od on the Moon where the acceleration due to g8 /rz ,9wsglxsu gc ,p/ 2i dfhhgjpxq..o66(jravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attached to a massless q pefh /a/p /-7n)ftdfstring. 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 diamete/7 pf- )apnh/fft/ qder sphere) had been attached to the string instead?

A simple pendulum consistinggv(*x; qcsem8 itb(*d of a 20-g mass has initial angular displacement of 8.0e. It oscillates with a period of 3.00egb m ;dv8cxs*ti *((q 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 frs/:6 2d;kr4ks e/3koc zpbubl equency of the wave iscp or: e s634/d k2;kbkl/ubzs 120 Hz. What is the amplitude?

  Figure 11-2 is a "snapshot" of ka miv p5q1(t q/j;pu7a7by2)c t gp7za wave at a given time. The frequency of the wave is 120 Hz. What is the wavelength?i2z 71tc7b5/ta7apmqgy jv; (qpk pu)

  Figure 11-2 is a "snapshot"ry h-i3kp f 7dhisy8g8:1wmv2 of a wave at a given time. The frequency of the wave is 120 Hz. What is the wave speed?w:pi-hy8yv s13m2r7 i8 gkfhd

  What is the frequency of a wave which has a period of 6.00 dzwdn1z v5tiy/7 6d5x ms?

  What is the period of a wyn3d gjw7 n35 u9paum/ave with a frequency of 1500 Hz?

  What is the wave speed if a waveat8a3afcjxj q7 i yjx4llrqv 0(g7/( ) has a frequency of 12 Hz and a wavelength of 3.yqi8jf/7qj)j ra aat043(v xg(x c l7l0 m?

  What is the velocity of a wave that has a wavelength ofur hh)s.iz51 l2i9vdh 3.0 m and a frequency of 122r 5 viuslh.h h9izd1) Hz?

  What is the frequency of a 2.5 m wave traveling at 1cw;t78a4 ) dig jbdaq.400 m/s?

  A piano string of linear mass density 0.0050 kg/m is under a tension of 1350 N. t4g -ctf,tl(p-eznkkmmt 9* / What is the w-ztltf ng * et9kctmm/kp4-, (ave speed?

  A string of linear density 6.0 g/m kv foh+ 9b2lja,qn.k8is under a tension of 180 N. What is the velocity of propagation of translqfh8jk,kanvo9+ b .2verse waves along the string?

A wave whose wavelength is 0.500 m is t sa 7hucr0at7/raveling down a 500 m long wire whose tot7 ruh7 /csaat0al 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 transverse wax3md( nke klasy+ a35z,;8zs qve 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 tx5elqans3zs dy,;3mz( a8+ k khis string?

  If a guitar string has a fundrf-c1gu ,ln/5iuesi*amental frequency of 500 Hz, which one of the following frequencies can set the string into resonant/*5er g-u lsu1icf ,in vibration?

  A stretched string is observedv4 ryl- -wpu,s to have four equal segments in a standing wave driven at a frequency of 480 Hz. Wuy4,wr spv --lhat driving frequency will set up a standing wave with five equal segments?

  A string, fixed at both ends, vibrates v vs;v/,uecnn4vh4a 9 at a frequency of 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency is needed if the standiac,n4h;e vu /vv4n9vs ng wave pattern is to contain 4 loops?

  A string of linear density 1.5 g/m is undqo,45vg6lxc2t4hy w c7x n *euer a tension of 20 N. What should its length be if its fundamental resonance frequency is 220wv7ch eo4 4l6 *ct5qyxxg,n2u Hz?

  Find the first three harmonics of a string of linear mass density 2.00 00h u a(pem9mgg/m and luh0mga0 pem(9 ength 0.600 m when it is subjected to tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. When the stkj(mzghf fk: l ah2u;o21c* 8iring vibrates at a frequency of 85 Hz, a standing wave withih2z8lf: jocamk(k;* ugf2h 1 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.