The time for one cycle of a periodic proceoq0 zqf)jjvn;5+ 7cwkss is called the

  For a periodic process, the number of cycles pe: qluc ;*uab6se+r4lsuj; + der unit time is called the

  For vibrational motion, the maximum displacem-jt bpf)d3iup(td 3 )ient from the equilibrium point is called th- p3fii dtt))p(dubj3e

  A mass on a spring undergoes SHM. When the mass is at its maximum displacement ma0g54:(oeggadv 0 zr from equilibrium, its instantaneous ve4 5vge00:(gomazd g ralocity

  A mass on a spring undergoes SHM. When the mass qt 9;p:ts7uz;fabt3u7 g g o5ypasses through the equilibrium position gp5t;s ty7fu:u;o9g a37b tzq, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass is at maximum displacementz pgcb 1 ht.)ce2ez)m1 from equilibriut1 c )hgp1z)2b. mzecem, its instantaneous acceleration

  A mass is attached to a ve2h4mwiev6 j5k4tey q /rtical spring and bobs up and down between points A and B. Where is the mass located w 5kmee/ vyhi4tq4wj26 hen its kinetic energy is a minimum?

  A mass is attached to a vertical spring and bbb p*4ew6 kr:k6m.0e scwhdizi45lv4 obs up and down between points A and B. Whereci0.v b5eb kw skz6 wr6: pemi*lhd444 is the mass located when its kinetic energy is a maximum?

  A mass is attached to a verticalzm d;)p1ui5rzdvv 89; u *kscp spring and bobs up and down between points A and B. Where is the mass located when its potential energy is a min; d5ruz9mp)vckv usdzp;*8i1 imum?

  A mass is attached to a vertical spring and btn0bk xv 1*zh)n k,k5ms3*ngyobs up and down between points A and B. Whnxv bzs51t)k* 3k,kym 0*ghnnere is the mass located when its potential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-spring system produces whatz ajsbeu3 .w+9hx7xh z,so5 -j effect on the s a 9xzzxj-7jou.w5 shs+he3,bystem's mechanical energy?

  Doubling only the mass of a vibrating mass-and-ajw, m6wjy0u.djfxs*+mv y0; spring system produces what effect on the system's mechanical energ+v0wdua jw0j myf6sjymx .*;,y?

  Doubling only the spr6dqc w,72 ilxeing constant of a vibrating mass-and-spring system produces what effect on the s6dq,ixewc2l7 ystem's mechanical energy?

  A mass oscillates on the end of a spqy6b2si kdjc 77qic 1-6cof/ oring, both on Earth and on the Moon. Where is the pjy 2i qq6c7k/ 7o6s c-fdbcoi1eriod the greatest?

  Increasing the spring constant k of a mass-and-spring system caus7.-njky q3yih f y96 ree7dbw0es what kind of change in the resonanhky0neqbw3 y6-d7i.fy7 r9j et frequency of the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system caul-n7 oho,xyf*h yh4-r ses what kind of change in the resonant frequency of the system? *h,nh lohr- xy7-oy4f(Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system causes what kind of cha0jj xna *zitbqmq)z65xv 6/,4evjif8iz*0e znge in the resonant frequency of the sysi)*0j bz4xi 66jq iq*f jnze ,m5etz /8vxaz0vtem? (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 go4ya:cwuj ll07 )ujep dr; 9;mass M attached to a weightless string of length L. For thil0 7aejo) ;;4pl 9cu:rduyw gjs system, when undergoing small oscillations

  When the mass of a simple pendulum is tripled, the time required for one cztg- tjqex zv9--i0-l b*on *womplete-bjgwzt-*9x tov *0nq ie --zl vibration

  Both pendulum A and B are 3.0 m long. The period o q8:gr a,mvx9df A is T. Pendulum A is twice as heavy as pendulum B. What is the periodarxdm 9q,:8vg of B?

  When the length of a simple pendulutum zs+r*;bmepvh cbr+8(1/ tm is tripled, the time for one complete vibration increases buvr;p8*s hc mb/mez+br1tt (+y a factor of

  What happens to a simple pendulum's frequency if both its length and mass ar4 r 6uin8cnu4ce increa48ncuu c6i4n rsed?

  Simple pendulum A swings back axo mfhhgef8 z :9s35/znd forth at twice the frequency of simple pendulum B. Whic8of /z mx9z3e: h5gsfhh statement is correct?

  If you take a given pendulum to the Moon, where tpf :7*xk.pq3)w fbc / ola.tqnhe acceleration of gravity is less than on Earth, the resafq./ bpk : *.lntf)7oxw c3pqonant frequency of the pendulum will

  Curve A in Fig. 11-1bpgl rk( omlv65m/q 2sr 0jw2( represents

  Curve B in Fig. 11-1 reprecm,8q4v k) xcpsents

  Curve C in Fig. 11-1 representsw/qpnpl, j98+e is5 vm

  For a forced vibration, the ampli)u,dw*td06(e yunw zr tude of vibration is found to depend on the

  In a wave, the maximum displace ;08.fhze5s9gyaodu s ment of points of the wave from equilibrium is called the wave'ssoz9e; sydfh05a.u8g

  The distance between successive crests on a wave is called th/h8x sn/wg44 qvf 1dgee wave's

  The number of crests of a wave passing a point per unit time is called wbf3)*4b2 r cbxjo zn3the wave'jx 3bbcbf) 4w no3r2z*s

  For a wave, the frequency times the wavelength is dhmj 2 v4oxbt:/f,/v rthe wave's

  The frequency of a wave increases. What happens6+ t1eh dg;tnx4 /qokt to the distance between successive crests if 4 teg/ktxdqo;61t+ hn the speed remains constant?

  A wave moves on a string with w;ns9gc) w0unravelength l and frequency f. A second wave on the src; 90ngnwu) same string has wavelength 2l and travels with the same velocity. What is the frequency of the second wave?

  Consider a traveling wavz )wyba1)xc6 ,;j w8fh lz39jucok3zbe on a string of length L, mass M, and tension T. A standing wave is set up. Which of the following is tr xjwh, 81bj 6 bzoyk )cuzc933zfa;wl)ue?

  A string of mass m and length L is under tension T. Twdp 3ui b/..+j 8ygk- *zxeo5fgc xh+ahe speed of a wave in the string is v. Wha +w uoabze5xgigp*y8k3j+ x-f hd./c.t will be 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 tensioj/c7b)7d xf.*)gg r djcc.ybbn 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 increased ).7c7 jbgd/gcc*f) xybdb.j rto 2L, with no change in mass?

  A string of mass m and length L is under tension T. The speedbeck2 402ekfwrf+ a9icp22bz xl* 0kp of a wave in the string is v. What will be the speed of a wave in the string if the t2icx*zk k0p fbkf09 wrc l2 22+eapbe4ension is increased to 2T?

  In seismology, the S wave :pyodhtj45y z6yco cqu2k5:*zm*r5e (y nu0tis a transverse wave. As an S wave travels through the Earth, the relative motion 5d*rmy ohp5j0yzt ote 4qn u*6yk:y:c z2(c 5ubetween the S wave and the particles is

  In seismology, the P wave is a longitudinal wave. As a P wave travels thb)einmv 9q(h.rough the Earth, the relative motion betwe.q ()iehv nmb9en the P wave and the particles is

  The intensity of a wi (b bm19b:tofsoxz fz(ac5)9ave is

  A wave pulse traveling to the right along a thin cord reacn-/jq:x 9iou2er *y4 pyh9v jo/4jbohhes a discontinuity where the rope becomes thicker and heavier. What is the orientation of the reflected and transmitt yoh evyp9: 24bio9jq -u4hjnrxo*//j ed pulses?

  Two wave pulses with equal positive amplitudes pass each other on a scif7v-(+s oy string, one is traveling toward the right and the other toward the left. At the point that they occupy the same region of spa-iyfvs7co +( sce at the same time

  Two wave pulses pass each other on akp b 41bwkt ,-btd-rsc 5zz(;1+s ahjo 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 they1-k(t;-dph osrktacj, +w4zbbsz 5 b1 occupy the same region of space at the same time

  Resonance in a system, such as a string fixed at both ends, occur8i)s + p 2kheqk; 8yt9+rmgm;9cqnxfe s when

  If one doubles the tension in a violin string, the fundamentap )9r./prt9eipa r+pzl frequency of that string wilapz /9r )rrpp9e.ti p+l increase by a factor of

  What is the spring constant of a spring that stretches 2.ciu/l t c .05mmaop8acrn:71 d00 cm when a mass of 0.600 kg is :c u/d c8m10mn lpt5r. aa7ciosuspended from it?

  A mass is attached to a spring of spring constant 60 o:ps;omm8 aairxc/ * 8N/m along a horizontal, frictr:ixpoa ma8mc / os;8*ionless 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 amplitude?

  A mass is attached tg 3u,i mfa34 bc:swsy5o a spring of spring constant 60 N/m along a horizontal, frictionless surface. The spring is initially stretched by a fw :53umc43a, issbf gyorce 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 period of oscillation?

  A mass is attached to a spring of spring constant 60z(ky w 5 :r08ai*roav6nd 6ybf 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. Whady6a y rrf*5vnbz:8 6k 0wa(oit is the frequency of oscillation?

  A mass on a spring undergoes SHM. It goes through 10 complete 8fa tf:dlx2t 7oscillations in 5.0 s. What is the tdf2l fat7:8 xperiod?

  A mass vibrates back and forth fro5/xudt 2vgqz0m the free end of an ideal spring of spring con/g d0xu5qt2vz stant 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 equilibrium position?

  A 0.50-kg mass is atta)sme1k2:d ddp ched 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. 1ddek 2p :sdm) What is the total energy of the system?

  A mass undergoes SHM with amc2y,)br f:jremxpt( .plitude of 4 cm. The energy is 8.0 J at this time. The mass is cut in half, and the systy(bmp c)e t,2jrxf: r.em 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 of sprv rt e* 35i,0kyed.upning constant 20 N/m along a horizontal, frictio,* ei0euk 3ydt5.p vrnnless 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 spring constant 20 N/m2 ly.4 4amffrp2eagl la :u,0q 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 what location are the kinetic energy and the potential energl: m,q4a02 lyaup2frlef4 a g.y the same?

  A 2.0-kg mass is attached to the end of a hor,y,wcf9 ao ucx 0w-zq*dcsf1q7-sg-gizontal 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 ene1x f7q-,c 9cgscya gdw*-uzq0of-s,w rgy of this system?

  A 2.0-kg mass is attached to the end of a horizontal sprinz*vnecl* ;fm-lduk4l y9.2 me qew6u (g of spring constant 50 N/m and set into simple harmonic motion4y9elm d*cl* muew z;efnqk-l 26.uv ( 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 spring of spring 4-zqofkfr7 . , l7frxeconstant 20.0 N/m with an amplitude of 0.250 m. What is the maximfq z-lfex rr,fo7. 7k4um kinetic energy of this vibrating mass?

  The mass of a mass-and-spring system is displaced 10 cm /k cmsmwl7e )/anrnp *ta(2vh7v/r3 n from its equilibrium position and released. A frequency of 4.0 Hz is observed. What fre*apr7rm7/ lne/ w/hta )n(n23cv vmks quency 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 constant np39*mv,rtfdx+h b4q10 N/m. The object is r*dp9m+ b nxv3,ft h4qdisplaced 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 c ihug(b tdm)t,-oru1ig5 ;ms+onstant 10 N/m. The object is t- 5s;u)1uimh r gtgdomb(+i, 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 oa8*3xc+nug f6 soozu;f spring constant 18 N/m, displaced slightly from its equilibrium position, and releaozx c u+s8a;n36o*gufsed. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequen,mnhck/ odxhotl7;j hvy2 o-6o b7p rjd,5(s9 cy of 1.27 Hz when displaced -j od5 xd/b v, o9omc; lopkyt 7hr2shhn(7,6ja 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 differ+d3dd8ikx6 mu d0c :kd9ao4qa :njp9rent 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 cm8dr3ukmx c:d9da+n o4:akd9d 0jq6 ip 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 tuf 2l5m xwl-/phe mass stretches the spring 2.0 cm downward. The mass is then pulled an additional dxlwp2/ul -mf5 istance of 1.0 cm down and released from rest. Calculate the period of oscillation.

  A 0.30-kg mass is suspended o ac0ic14ubo2x n 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 from2c1ob 4u0cix a rest. Calculate the total energy of the system.

  A 0.30-kg mass is suspended on a spring. In equilibrium the twp03g te2n0n7mu t 6ecl.+uumass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.um+ 7.teue0tn 3ngcp 062wul t0 cm down and released from rest. Write down its equation of motion.

  An object in simple harmonicblvnlm5 85i1 *l hqfw5 motion obeys the following position versus time equation:bmnll wf* lh5 ivq8515
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeyj2e3 og l p(4okhg(n)e;k zbgllf:u(2s the following position versus time equatio llu:gp jz(g42efhek2 ng (bl3;) (okon:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following positionm+a6)4gbfqg l versus time equat4ba f+lq )gg6mion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes +j*2k2cqd1 ogj2 ot epsimple harmonic motion accop tck2*jjeq2d og21+o rding 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 l 0v mwq9(cr8oyur3djjb 6n/61 k+mmqa force constant of 20.0 N/m oscillates on a horizontal, frictionless track. At t= 0, the mass is released from rest at/k9w my1c66d(0bnmmrq qujr 3+lojv 8 x= 10.0 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) What are i)o*job-f:mdh t r;w9 )plgi4outl/s1 ts frequency and pe *)boordufgl h mwlop-t:t4 ;/1)9ijs riod on Earth?

  A 3.00-kg pendulum is 28.84 msp 6kz7k-kix1 long. What is its period on Earth?

  A pendulum has a period of 2.0 s on Earth. What is its lengt9p cx), tuw r;,0agih qeiq)t9h?

  The pendulum of a grandfather clock is s*( 8/gumvvzf1.0 m long. What is its period on the Earth?mvu g8sv(*/ zf

  The pendulum of a grandfather clock is 1.0 m long. What is i5s*mvw cfe1j+h./lf cts period on the Moon where the acceleration+flwe5h c*1mjv. cs/ f due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherim1yh l4ed z3obba4u 44cal mass attached to a massless string. When the mass 1b yh43u 4lm bzeoa44dis 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 attached to the string instead?

A simple pendulum consisting p;t 1r xesb)zsz6 hkb0nr) h09of a 20-g mass has initial angular displacement of 8.0e. Iz;hshet6xb0 0z) )r9ps1b rknt 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 given time. The frefy3r7 gc(8ota quency of the wave is 120 Hz. What is the amplitude?fo37c(8ay tg r

  Figure 11-2 is a "snapshot" of a wave at a given time. The frsn;4jl g+0i yuequency of the wave is 40inlsy ;u+jg 120 Hz. What is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given iy-6 /z 0dde 1syd0wfhtime. The frequency of the wave is 120 Hz. What is thdfs0i e6/d wz10ydy h-e wave speed?

  What is the frequency of ardxu0p/1o3.v j a0d wv wave which has a period of 6.00 ms?

  What is the period of a wave with a frel7n: tf pdnfgpk+)/3 gquency of 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz and a waveleng5d. n8t0cd++sc,oad1jx( 6wxg n ywtzth of 3.0,w6 co 5wn.dx(a ygzd+j8sc1tx +tnd0 m?

  What is the velocity of a wave that has a wavelength of 3.0 m ani e3q5oih-n) kx j)ab4d a frequency of 12 q)enb-5i3k h4ixj)a o Hz?

  What is the frequency of a 2.5k5*2yby j q*hjs uk5v( m wave traveling at 1400 m/s?

  A piano string of linear mass densi8hf9w(8 )c,m ygcvb5b bir 5qity 0.0050 kg/m is under a tension of 1350 N. What9mihg5 5)rcbv(ci qf8y8 bb,w is the wave speed?

  A string of linear dv(qo0r3p.9,ys5uw iqnj q.p zensity 6.0 g/m is under a tension of 180 N. What is the velocity of propagation of transverse wave pp 5q3ryqnq, ov9 wj..(si0zus along the string?

A wave whose wavelength is 0.500 m is traveling down a 500 m long wire whose s8zc;0iih/*(df di yltotal massddi8lyish0; /(z* cf i 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 *;ssa*oo +.y orsn)sa.0-m long string fixed at both ends is 200 m/s. Which one of the following is not a resonant frequency of*sy* .a a+;nooor s)ss this string?

  If a guitar string has a fundamental frequency of 500.ipa6m -hef2 b Hz, which one of the following frf i. -e26mabphequencies can set the string into resonant vibration?

  A stretched string is observed to have four equal segments ii z9e63r9ant9f 8t ojvn a standing wave driven at a frequency of 480 Hz. What driving frequency will set up a st9nfto9tvei3z 69j r8aanding wave with five equal segments?

  A string, fixed at both ends, vibrates at a frequency of 12 Hz with hm-zsc3 1 nems9nl+ 8ha standing transverse wave pattern containing 3 loops. What frequency is needed if the standing wave patn1enhmc3- s+z9m h sl8tern is to contain 4 loops?

  A string of linear density 1.5 g/m is under a tension o.t lb1w4+t oyh2asl,ts 1wroo-.z0i of 20 N. What should its length be if its fundamental resonance fre1zo.iwl w1b ohtly 2o.sstt r-+o0,a4quency is 220 Hz?

  Find the first three harmonics of a string of uez*y/tqn24 - ir,ud--segyi linear mass density 2.00 g/m and length 0.600 m when it is subjected to tension- -euugs-dz4,n/qr2 yyte ii * of 50.0 N.

A string of length 2.y h/ / w)qwf+b u8oqq64xx)ewx5 m is fixed at both ends. When the string vibrates at a frequency of 85 Hz, a standing wave with five loobqoy f/wqqxuh)+ )x86/4eww xps 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.