The time for one cycle of a periodic process isv.1 2ss3 (eq orzln;iv called the

  For a periodic process, the nu/ bb1 ptt3. x6eb8ikxlmber of cycles per unit time is called the

  For vibrational motion, the maximum displacement from the equilq h/21;mkb5d ,y:jx/i; ai7rs r yrptsibrium point is called:/rqhrt;ir pjxms 5k2d17 ;s,byya/i the

  A mass on a spring u8*h6z/mp7q j;kiai k,h,zaitndergoes SHM. When the mass is at its maximum displacement from equilibrium, its instantaneo; ajkiizq/h,mh7*,izap k t68 us velocity

  A mass on a spring unr dts/gzjba 2u).u5s9dergoes SHM. When the mass passes through the equilibrium position, its u/2 gj rt5z9s)d usb.ainstantaneous velocity

  A mass on a spring undab2- ikkz qrsh0w b,l2,w7wr:/ cspb/ergoes SHM. When the mass is at maximum displacement from equilibrium, i0:h w rlwrk,7ps/sqib2-b k ,w2c/ zbats instantaneous acceleration

  A mass is attached til+u5dbj4.n q 1 shxu1bu dpy3-ys-- io a vertical spring and bobs up and down between points A and B. Where is the mass located when its kinetic ene 1j- s1i-uq+yu4s .dlpbb 5h3nduy ix-rgy is a minimum?

  A mass is attached to a vertical spring and bobs up and down bet+bywcwwq h8vo35 f5xr*cjo (+ween points A and B. Where is the mass located when its kinetic energy is a maxif 3jw+wc*+(xo5 5 ryvh bqo8cwmum?

  A mass is attached to a vertical spring ii t+y3d ;6+b5vlmygu and bobs up and down between points A and B. Where is t3yi bdm +v56gtil+;yu he mass located when its potential energy is a minimum?

  A mass is attached to a vertical spring and bobs ij-dkl2.nn7mel1o:; 8kbm ekup and down between points A and B. Where is the mamek-. ljm ik27b:end k lo;n18ss located when its potential energy is a maximum?

  Doubling only the amplitude of a vibratingso bi k);.vp)zg4js+d mass-and-spring system produces what effe4j.sb)pgis v z+k;d)oct on the system's mechanical energy?

  Doubling only the mass of a vibrating mass-and-spring system produces what effex8f yjlhg r6j(p yx605ct on the system's me66 50 hy(ry8 gjplfxxjchanical energy?

  Doubling only the spring constant of a vibrating mass-and-si,eegb,/iy n .qy k+z,pring system produces what effect on the system's mechanbng kie e ziy,./,+,qyical energy?

  A mass oscillates on the end of a spring, both on Earth and on the Moon. Whs1 .rinzqu00 up),i ;k5zy;e uwvl eo:zrrs12 ere is thuer1zroe : 0s k),v.nsuyi;i5zu;0 lq z21pr we period the greatest?

  Increasing the spring constantk4x o1 * 1yzto9w-il5gt:kw wz k of a mass-and-spring system causes what kind of chanz:okyi541 xzgk w-1 w tlt9ow*ge in the resonant frequency of the system? (Assume no change in the system's mass m.)

  Increasing the mass M ofd/a5k)x82v)c-qdq;bwf uaf o a mass-and-spring system causes what kind of change in the resonant frequency of the system? (Assume no change in 8qfvc/ x udokdw-;b5a af2q ))the system's spring constant k.)

  Increasing the amplidw: 4zxcz,iu-jsg (9ytude of a mass-and-spring system causes what kind of change in the resonant frequenc-4zc :,disuyw(9 jzgxy 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 consis5i va,nt9 caq6j; xam7ts of a mass M attached to a weightless string of length L. Fovat 5ja9i67an x,;mqcr this system, when undergoing small oscillations

  When the mass of a simple pendulum is tripled, the time required kh/e1:l:y us -3fj0dwzc0uwjxy0m mov28ep. for one completesw3 0 0uxj2fc-l/ye8jo1de0zwvpk mh um.:y : vibration

  Both pendulum A and B are 3.0 m long. The period of A is T. Pend au42 7mhm na,am5/niuulum A is twice as heavy ,4ih/2nmaan5 amm7u uas pendulum B. What is the period of B?

  When the length of a simple pendulum is tripled, the time for one v6gcyp- c)ma *complete vibra*agpc6 m)y vc-tion increases by a factor of

  What happens to a simple pendulum's frequ hifm5cv c8e) 8-d3hi7sewcr(ency if both its length and mass are increased? csci )hw-5m7 e3r8hif8 (cevd

  Simple pendulum A swings back and forth at twice the frequency of simple pen v9x)m/;nm/k)p8;va wg j6 ow4+udxty;jwrj h dulum B. Which sta+t;d wm; wj)nh946 r/p; umg awv)x/v k8ojxjytement is correct?

  If you take a given pendulum to the M3p, j3w20qzd 8tvadtwoon, where the acceleration of gravity is less than on , adz tw38w2jqt0 p3vdEarth, the resonant frequency of the pendulum will

  Curve A in Fig. 11-1 represei qre2;wp7x d19ya/ yxnts

  Curve B in Fig. 11-1 represen-uz*8h cw rqm:4)mxbcts

  Curve C in Fig. 11-1 represen(rfgo mf-70 dots

  For a forced vibration, the amplitude u,* tzwna,d*r of vibration is found to depend on the

  In a wave, the maximum displacement of poini1g50,dgsnfjsbo.8krz* 7 zq ts of the wave from equilibrium is called the sfrz871gzi o j*nd .k q5b0gs,wave's

  The distance between successive crests oni8pl hejiqghh77 (nhc6*6nz. f*qi: anc1i)c a wave is called the wave's

  The number of crests of a wave passing a point per unituvk7+ ap(wqk)j r;nq 5 time is called the wave'a )(v; 75jqu+wkpqnrks

  For a wave, the frequency times the wavelengj. ;cevjr n7a,th is the wave's

  The frequency of a wave increases. What happens to the distance between) f2)bsr s)7i*wf 2eru 1hmzyp, x9ezvc7 lf4u successis1f 9erpclf7,ue))2*)mwsx yz vzb427 f rhuive crests if the speed remains constant?

  A wave moves on a string with wavelength l and frequency f. A second tbkbb7*8+mb2 kc:qjjuo:ii8wave on the same string has wavelength 2l and travels with the same velocity. What is the frequency of the secon:7+kjibo8*2u k bcbj b qmti8:d wave?

  Consider a traveling wave on a strt+:m3n2stqnxxpm0dt qm57vh1 sa 4 t-ing of length L, mass M, and tension T. A standing wave is set up. Whic7t5m 3nhnxat:p sqd+0qt x s21v m4-tmh of the following is true?

  A string of mass m and length L is under tension T. The speed of a wave in l(d wsvwu6d* u; eblb8;mij+: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, wuim+ we* :dd(;bb6s8lljw;uvith no change in length?

  A string of mass m and length L is under tension T.gj6oq0*(dc1a)cc0 m;rwl heo The speed of a wave in the string is v. What ac(cwo 0hm6 o ;cldg1*r0j e)qwill 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 is under tension T. The speed of9btop 107 k txs,ce87sw:b ted a wave in the string is v. What will be the speed of a wave in the string if the ttxee:ktdb18 oc7ws0b9pt,7 sension is increased to 2T?

  In seismology, the S wave is a transverse wave. As an S wave travels through snbjt41 jh2;deahnm f9f39l7the Earth,t3nlj7n hmfbef49 2sj1 h da;9 the relative motion between the S wave and the particles is

  In seismology, the P wave is a longitudinal wave. As a P wave travesua9m. i7367gsv nukq ls through the Earth, the relative motion between the P 3s u.a6sgkn m97viu 7qwave and the particles is

  The intensity of a wa v)(bx0b8j 4a zmc0mdxve is

  A wave pulse traveling to th:+i+ky(u bh ise right along a thin cord reaches a discontinuity where the rope becomes thicker and heavier. What is the orientation of the reflected and transmitteb:k( ++yu ihsid pulses?

  Two wave pulses with equa.(// zo jd6qxkhx3g7 ovba.3yoyj nz)l positive amplitudes pass each other on a string, one is traveling toward the right and the other toward the left. At the point that they occupy the same region of space jvg67hd( ookx3y 3zy )b.jo/n/axqz. at the same time

  Two wave pulses pass e(-44 w7pg arnrmzhgm4 ach other on a string. The one traveling toward the right has a positive amplitude, while the one traveling toward the left has an equal amplitude in the negative direction. At the point that they occuamn74h-pr44(wzmg gr py the same region of space at the same time

  Resonance in a system, such as a strl9nazkrz ;yltfe: 6x 5r6k/z1ing fixed at both ends, occurs when

  If one doubles the tens pp7;th((ww0sld ,ajyvp yb6 7ion in a violin string, the fundamental frequency of that string will incrd0v w,y( s7ajplphp(w6; 7t ybease by a factor of

  What is the spring constant of a spring that stretches 2.00 cm w1,t,p k)comxy.l9 h+4zkddnxx6d(l:fv b+ j then a mass of 0.600 kg is suspendex )6 kxd :dty+hzj4 tpo,lkb9 (d1nm.+vc,xfld from it?

  A mass is attached to a spring of spring constant 60 N/m alo );,cgsmg0xteapntqa s 2j:- ;ng 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 positiox;aeamn 02,g;:gs-cp jt s)tqn when it is oscillating. What is the amplitude?

  A mass is attached to a spring of spring constantl+ m27 daz,(d l+fiijs 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 taiz2mis+dj+lla d7( ,f kes 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,j6 q(v1h tfjvm f8/rz2 frictionless surface. The spring is initially stretched by a force of 5.0 N on ft6qfjhj(v/2 1r v8zmthe 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 undergoes SHM. It goes through 10 complete oscillatio 3cm xqage381; kq5vhlns in 5.0 s. What ivhq xq3 k1 glcm;ae835s the period?

  A mass vibrates backti/ zmawos( 25 and forth from the free end of an ideal spring of spring constant 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 equ sa2(omw/zt5iilibrium position?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m along a horizo,5 n(wg4z2bz ymamd ;jntal, 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 tj y4m,g; bz(andz 2mw5otal energy of the system?

  A mass undergoes SHM with amplitude of 4 ci,prk ;or31w5o, 8 cgn6 jdcpvm. The energy is 8.0 J at this time. The mass is cut in half, and the system is again set in motion with amplitude 4.0 cm. What is the energy of o3d5wj ;,gc18,kop vnc6 riprthe system now?

  A 0.50-kg mass is atta 6copiy74wgu+ched to a spring of spring constant 20 N/m along a horizontal, frictionless sui 6+gwcou y74prface. 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 spring constant 20 N/m along a horizo4 qev051a9)n sbsyjf ental, frictionless 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 pote 0 qfny1e4se9)5jb avsntial energy the same?

  A 2.0-kg mass is attached to the end of a horizoq 6mv,w l+(zx2q-9ys;e* nvxi(ypa tqntal spring of spring constant 50 N/m and set into simple harmonic m+,qyy 9x6vl*mineqw ;p tsv2qx(a- z(otion with an amplitude of 0.10 m. What is the total mechanical energy of this system?

  A 2.0-kg mass is attached to the end of a horid h4jk ;75 v4how-8c q(fplljzzontal spring of spring constant 50 N/m and set into simple harmonic motion with an amplitud54f 4;z-hopd7ljq (j hlk8c vwe 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 spring of sp9( h4j(:kyr 6bfniz,k ogu 5ugring constant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kinetic5 g:o zkf(h k9ugb,y nr(i4ju6 energy of this vibrating mass?

  The mass of a mass-and-spring qq*z dopy5;e ,r zx0l3eeh kicbm5qd+fy1+95system is displaced 10 cm from its equilibrium position and released. A frequency of 4.0 Hz is observed. What frequency would be observed if the mass had been displaced only 5.0 cmlze ey9ro*hq0 ; dxp51mf czq,ki+d5 5be3q y+ and then released?

  A 4.0-kg object is attached 2mk)1u sbb j;pshut,. to a spring of spring constant 10 N/m. The object is tb1um.2b)su j;kphs, displaced 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 k7k/e ,j8i bjwspring constant 10 N/m. The object is/jjw ekk 78,ib 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, disp3 0ec2j nbq;u0os j(mxlaced slightly from its equilibrium pos(n2co ;e3j0 q jbxum0sition, and released. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequency of 1.27 -0kciisddx.: lhgk/k cr**7n Hz when displaced a distance of 2.0 cm from equilibrium and released. What is the maximum velocity attaine*khcdk: xsngrc7 i -k.i d*/0ld by the mass?

  Two masses, A and B, are attached to different springs. Mass A s*vh8c6om)94s x en havibrates with amplitude of 8.0 cm at a frequene a86o x*h 4hncvss)9mcy 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 suspets(nhnr 7 g0+bnded 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. Calculate the period of o(nnt+0s7 g bhrscillation.

  A 0.30-kg mass is suspended on a spring. In equilibr u7/cwcv g;*vgc5wzz /ium the mass stretches the spring 2.0 cm downward. The mass is then pulled an a*c;5w7 cu /vv cwzzg/gdditional 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 spri1nux:mg-n4m z-k7 l gxng. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pz-1g7l m:n xukm4nx-gulled an additional distance of 1.0 cm down and released from rest. Write down its equation of motion.

  An object in simple harmil(26 a l6t/xrvsz wg95 ,xodtonic motion obeys the following position versus time equati s2dzillg9oxxwv6at/( r,6t 5on:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic ma5 +5q-/ h+xvwjtdxheotion obeys the following position versus time equhe5t xhxvw5/j+ a- dq+ation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following position versus time equnesoxi- / td 2r5,(k8w zbygq.atio-2ebky5x8d(z/w.st qi g, rnon:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes shr :9 wh-yd0mc;x*m cqimple harmonic motion according to the equatd0q*c m xh;w: yhrm-c9ion $y = 0.50 \; \sin (18\pi \times t)$ 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 6g fslgpf,a61of 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, the spring ia,f61l 6gfpgss 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. (a92qcte nzn g bvc9.:z8) What are its frequency and period on E9 9c 8q.2ezvn :bzcgtnarth?

  A 3.00-kg pendulum is 28.84 m long. What is itg)m bbt bs1y+j2 j+i 1k/kawv8bhb2bd( u;js6 s period on Earth?

  A pendulum has a period of 2.0 s on Earth. What is ltslm4+pzx ;*1ynm*q g k zd51its length?

  The pendulum of a grandfather clock is 1.0 fq fi*-ucfl:7k; a8xfm long. What is its period on the Eartix*ual c :8;f kqf-f7fh?

  The pendulum of a grandfather clock is 1.0 m long. What (x hdgyv01(sfc (:fst is its period on the Moon where the acceleration due ds0((:fv fc(hsx1gty to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass6 hamx2(acsu+7qhs7 z attached to a massless string. When the mass is displaced slightly from its equilibrium position and released, the pendulum sw 26s7ca(mzhx +hausq 7ings 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 attached to the string instead?

A simple pendulum consisting of a 20-g mass has initiaajow pt; n1l51l angular displacement of 8.0e. It oscl npjt;a5 11owillates 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 atmdvu8scb qhnoxc.0r l1:784y a given time. The frequency of the wave is 120 Hz. What is the amplit. vr7c1nbd 4y8o0:sl huc8 qxmude?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency oy d-mrtmff,+v9ev y i :+s(0ybf the wave is 120 Hz. What is the wavelength+ys b0 yv mt:+vey9irff(,m- d?

  Figure 11-2 is a "snapshot" of a wave at a given time. The+ 5yn,vz 0-tqjtw( yp rwn:,r zh-yjy- frequency of the wave is 120 Hz. What is zt (hn+r j,wj-,-wyqyrnz-5v yp0ty :the wave speed?

  What is the frequency of a wave wh 5qqvkr4ee74k ich has a period of 6.00 ms?

  What is the period of a wave with a fr 5wz9v ev9dkco bq;-y (x3)dkbm,u 8dyequency of 1500 Hz?

  What is the wave speed if a waz e)v6 hb0ogr;ve has a frequency of 12 Hz and a wavelength of 3.0 o gh;eb)6vz0rm?

  What is the velocity of a wave that has a wavelength of 3.0 m and a fzd-p5qbtt52q+ a dhm.qo06 zbrequency of 12 Htm q.bap-zd2dth oq 5+bq0z65z?

  What is the frequency g3 ng+yps.y+pq6* namof a 2.5 m wave traveling at 1400 m/s?

  A piano string of linear mass de xqiun.: wq6pd3osu,-dw*tz3yqa-g7 nsity 0.0050 kg/m is under a tension of 1350 N. What iq6 n-dqp3* .zqwuwg udi:,yas 3t-7xos the wave speed?

  A string of linear density 6.0 g/m is under a tensiow9 ,ljdvht2 i:;huj y7n of 180 N. What is the vel7jt: uhyldi,j9vw2;h ocity of propagation of transverse waves along the string?

A wave whose wavelength is 0.500i: p7anapx u 27:(n+ +8i,ujsfdxhcfr m is traveling down a 500 m long wire whose total ma : xdr(fpnna h+77 :f8j,iusxcia 2p+uss 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 wave on a 2.0-m long strin0uvfs22y ;-au 2df wzrjl7j i(g fixed at both ends is 200 m/s. Which one of the following is not a resonant frequency of t2v;2fd7u y jlujazris -fw 20(his string?

  If a guitar string has a fu31-x :6lbn1 ,f ccjnf9zlbwu:n ygud(ndamental frequency of 500 Hz, which one of the following frequencies can set thn w63zgdnj-: 9 b1,ylcffcxnub1(:ule string into resonant vibration?

  A stretched string is observed to have four equal segments inb9hd(op nk,54fi9bsp a standing wave driven at a frequency of fpb( nokih , dp954sb9480 Hz. What driving frequency will set up a standing wave with five equal segments?

  A string, fixed at both ends, vibrates at a frequency of 12 Hz with a stax j9g1h) r9fuag 5hj(e9jqcuqoj;w 3jt 1;jf8 nding transverse wavffxarjg3h1; h98wc1jqjguu )5 9tjjj9 ; (qeoe 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 of 20 N. What sho*vxg878hyt rf) ua. f 0dj/rovuld its length be if its fundamental resonance frequenc0vjxh/ ro)f*ar gu8d7y8vf t.y is 220 Hz?

  Find the first three harmonics of a string of linear mass density7.jvy7a+l8 it ify.pq 2.00 g/m and length 0.600 .7y8ita+li 7 jpfvyq.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 string vibratesbyvj 43xd(m l uww4-u+ at a frequency of 85 Hz, a standing wave with five l3 vxyd(-uw4 b+ju4wlm oops 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.