The time for one cycle of a periodi9 8 :ibqgh x5w20k.( rvcvseckc process is called the

  For a periodic process, the number of cyrt mkgbz 8s fdj-;-/tj3g m7f/cles per unit time is called the

  For vibrational motion, the maximum displacement from the equilibrium point is (f7ygc sf -u q3d ot:61ofr6teca7y(uf fsg 16tfo3q6 dor t:c-elled the

  A mass on a spring undergoes SHM. When the mass is at its maximum displacei0-g9r:wilmf ment from equilibrium, its instantan-igr0w fm:l9i eous velocity

  A mass on a spring undergoes SHM. When the mass passes through .4*ntqodkjmmh63w4h i /vu6c the equilibrium position, its instantaneousdic h6mv46.k q4/umoht*n3wj velocity

  A mass on a spring undergoes SHMen xn+o92w(b saktjq 8mwe9)). When the mass is at maximum displacement from equilibrium, its instantaneous acceler bmt9s ww j8ek)9xane+q (on)2ation

  A mass is attached to a vertical spring and bobs up a/ 9mkug(t0znnnd down between points A and B. Where is (nk /n mtu9zg0the mass located when its kinetic energy is a minimum?

  A mass is attached to a vertical spring a6x gj zac9y.x,/2t vhcnd bobs up and down between points A and B. Where is the mass located when its kinetic enz2 /ja.gxch9tvc6 yx,ergy is a maximum?

  A mass is attached to a vertical spring and bobq e04 pv,*vjpq3+sp2qs pxhd;s up and down between points A and B. Whee2hdp;*q+ p0jv p vq,s4xq3ps re is the mass located when its potential energy is a minimum?

  A mass is attached to a vertive,ba. ,+bauu cal spring and bobs up and down between points A and B. Where is the mass located when its potential energy is,b.,eu bu+a va a maximum?

  Doubling only the amplitude ox ),jeo)c btd0 (q7h7xr mt;owf a vibrating mass-and-spring system produces what effect on the system's mechanical energbre wx)0o 7ct,;(h7qj)tmx ody?

  Doubling only the mass of a vibrating mass5 rvt1md nv2rhmyzeu+3 gon 6x**b.i2-and-spring system produces what effectrhgmu2d r. v* *veyz3+1 6io5nmxnb2t on the system's mechanical energy?

  Doubling only the spring)cc;2 fcebx29rt iz9gu hm 3w,klq6. c constant of a vibrating mass-and-spring system produces what efwz.cbt; cke2 li,u9x9)h3 q6gc2rf cmfect on the system's mechanical energy?

  A mass oscillates on the end of a spring, both on Earth and on 4us/o a2sp.qahw)c*w the Moon. Where is the pea /aussc)w*w. h2oqp 4riod the greatest?

  Increasing the spring constant k of a mass-and-spring system causes:)b 8dqr 9jdah what kind of change in the resonant frequency of the system? (Assume no chaa)b jr8d:9 dhqnge in the system's mass m.)

  Increasing the mass M of a mas)+v6q+( rr-(x +qhrt ni sblzos-and-spring system causes what kind of change in the resonant frequency of the system? (Assume no cl)(vi(+t oqrh-+sr+rbnzx q 6hange in the system's spring constant k.)

  Increasing the amplitude omso0 / zzk+4fcf a mass-and-spring system causes what kind of change in the resonant frequency of the system? mk0z zo4s /fc+(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 bhk4y 8alyu ;g2 td;jm*nn9n;omy ,t0a mass M attached to a weightless string of length L. For this system, when undergoing small oscil 42yml*nkn 0gd a,o;htm;ntbuyy9j8; lations

  When the mass of a simple pendul i(l m-cb5:uiq5rxc7v;v f;ebum is tripled, the time required for one complete vibrationc7q ebxr-v ;5icb :m i;(lf5vu

  Both pendulum A and B are 3.0 i8 *k5i ;,tlefn+ cgy 0h/zmmboc1gb/ m long. The period of A is T. Pendulum A is twice as heavy asg0 cl gob8+ tmyfn*b/hk5,ii /c1ezm; pendulum B. What is the period of B?

  When the length of a simple pendulum is t8t egh(fb+9g/*0o ) dwlhvwq fripled, the time for one complete vibration increases by a fo *)whdlt08wfhv b+f(eg q9/g actor of

  What happens to a simple pendulum's freq wp68v: (2clglupim5uuency if both its length and mass are increaseduw 2i6ppg ml: c(58vlu?

  Simple pendulum A swings back and forth at gm5 an)jri*lbz b;;s7 twice the frequency of simple pendulum B. Which statemn s b;br* ;z5j)iml7agent is correct?

  If you take a given pendulum to the Moon,(o n9pj(prjzq w-4i gz92mx3q where the acceleration of gravity is less than on Eanwi-(9r9g4pj m jpzo 23 zqq(xrth, the resonant frequency of the pendulum will

  Curve A in Fig. 11-1 represen vtzg2 ;x t lxppa5)qi 6sr(:n0g-6aetts

  Curve B in Fig. 11-1 bbiyd x7 x62;iac18g w sig.9yrepresents

  Curve C in Fig. 11-1;a62qqit7v ra represents

  For a forced vibration, the amplitude of vibration is found to depend on :9v(ckagcgw 0w1wh.a 1h8zek the

  In a wave, the maximum displacement of point2 qjy1vye(;*v vpk962lcp8j)ogo g nes of the wave from equilibrium is called thv;l(8e )onv gg1 k6c9yj*pq vpejoy2 2e wave's

  The distance between successive crests on a wave is called the wavl;;(r/.9 ixulz l7fob a8mjfi+ o6t pee's

  The number of crests ;ip+fl7- j :leds5(at hz5vmfof a wave passing a point per unit time is called the wave's ;fa:zemv dli(lh7s5+p- 5tjf

  For a wave, the frequency times the wavelengwf 7c.+ f6odbkth is the wave's

  The frequency of a wave increases. What happens to hhu): f:7oxp)pe 7ic gthe distance between successive crests if the speed remains constan7gfco7x :e hp hui:))pt?

  A wave moves on a string wit5a2alr9y5 l e(n yufu4qhc r90h wavelength 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 w a yurl(n9 5l24cqrhfye59u0aave?

  Consider a traveling wave on a string of length L, mass M, and tensh;q:b uzjq,tacwq v3h2fx :4;ion T. A standing wave is set up. Which of the following iq; :waxhz;jv :tqb fc2,q3uh4s true?

  A string of mass m and length L is under tension T. The slxe7 (;k ls8iwqvqu)u :qo l-1bfk6e-9b7uh 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 ine qixq7v -u);l kl :s(6s l8 -hwufou71kqb9ebcreased to 2m, with no change in length?

  A string of mass m and length L is under tension T. The speed of a war w8oxb* 2kz*l s5ne8cve in the string is v. What will be the speed of a wave inzx858 kw rl*n* csboe2 the string if the length is increased to 2L, with no change in mass?

  A string of mass m and length L is und m i0o3:tgpz q-q:q.up;.yrj rer tension T. The speed of a wave in the string is v. What will be the speed of a y;pptiqj .3gu0 qqo.z: :rmr- wave in the string if the tension is increased to 2T?

  In seismology, the S wave is a transverse wave. As an S wavj) *7cj f4jnqce travels through the Earthc )f74qjcjj*n, the relative motion between the S wave and the particles is

  In seismology, the P wave is a longitudinal wave. As a P wave travel760izod t/tdf0 kro:c s through the Earth, the relative motion between the P wave and thd/c r0k 60i7f:tzodtoe particles is

  The intensity of a wave qvd 7f56mvieozr -j-,is

  A wave pulse traveling to the right along a thin cord reaches a discontinuitytq +/k3aa7qgj where the rope becomes thicker and heavier. What is the orieq/3k qaj+ag7 tntation of the reflected and transmitted pulses?

  Two wave pulses with equal posw. 6wak ,il/d:eohon:itive 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 slkown:.6, ih ea:dwo/pace at the same time

  Two wave pulses pass each other on a string. The one traveling towardkl 2varp5 o(.d the right has a positive amplitude, while the one traveling to2k(v .olr 5padward 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, dfcbk.qpvo;cj . p(nw3c 23oi(bi;)csuch as a string fixed at both ends, occurs when

  If one doubles the tension in a violin string, the fundamentab mwg.ew.tpdhpiqj0* jo1q :38j o ,)al frequency of that string wil.p38gp*o,j0mq tiowhja dej.:1b q)w l increase by a factor of

  What is the spring constant of a spring that stretches 2.00 cm when a m/-g8rfdf,ebj h+5 br mass of 0.600 kg is suspen+e,b58rhrdj gf -f/bmded from it?

  A mass is attached to a spr: of 9nhu)ba;9ljj 8kwing of spring 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 the mass 0.50 s to go back to its equilibrium position when it is oscanf) 8blk9hu wj9: ;joillating. What is the amplitude?

  A mass is attached to a spring of spring constant 60 N/m along a horizon.x)qtqhp v 0i +3pio s;eb/-smtal, 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. What is the per;se3pq 0htio qbx/ipm+v)s. -iod of oscillation?

  A mass is attached to a spring of spring constant 60 N/m along a horizof*/ced( ck1) m kz,q9;kir zfqntal, 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. What is the frequency of oscillation?rfc ;fcm1zkk* ke)(q,i /qz9d

  A mass on a spring undergoes SHM. It goes throuv(x4v3dww.6*n hs2pbp l o4orgh 10 complete oscillations in 5.0w.vd4hon 4lrx26 (o v*3ppw bs s. What is the period?

  A mass vibrates back and forth from the free end of an ideal spring of spring coz26*nff jvear6 /1kpxnstant 20 N/m with an amplitude of 0.30 m. What is the kinetic energy of this vibrating mass when ff pj/*zrnka 26v 1e6xit is 0.30 m from its equilibrium position?

  A 0.50-kg mass is attached to e:z:zj)*h ysr97f plsvry4)oy a oz 60a spring of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has 7y0o:sj)a9):eryf4 zpslo v6r zyhz* 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 eniqb1k sha) : ;qv7qit)ergy 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 1)7)vqt a: ksh;qiibq the energy of the system now?

  A 0.50-kg mass is attached to a spring of spring constanqivq g dm2 )c5s2)ys5rt 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of ) s2)my5d2 r vgqic5qs1.5 m/s at the equilibrium position. What is the amplitude of vibration?

  A 0.50-kg mass is atgo t,ky8+ 2tbhtached to a spring of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and o 2y,k+8gt bhthas 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 of a horizontal spring of spriklo8n9 *kjvb* 5w4bufng constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the total mechanfnjbb*kl5 9*v8 owu4kical energy of this system?

  A 2.0-kg mass is attached to the end of a hori5.e5y x2(syermy6 l gizontal spring of spring constant 50 N/m and set into s .5i5 ygmyx6l(e2ryes imple 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 spring of oua+6h1fa q;f jh+a8pspring constant 20.0 N/m with an amplitude of 0.250 m. What is the max16o8++u ahhfqpa ;afj imum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring system is displaced 10 cm from its equilibrium p4-x(sgw h1n cq;z n*mwgosf6ze n f251osition and released. A frequency of 4.0 Hz is observed. What frequency would be observed if z1 1;mw*e zncx 64-g ss25fhfgqn(wo nthe mass had been displaced only 5.0 cm and then released?

  A 4.0-kg object is attached to a spring of02zgjv8x-mto2z 2j ;6bvi dm j spring constant 10 N/m. The object is displace 2jz zjo2mm t2;jgb8v6xv0 d-id by
5.1 cm from the equilibrium position and let go. What is the period of vibration?

  A 4.0-kg object is attackfi1s 60 7uzpthed to a spring of spring constant 10 N/m. The object is displaced f0 iskpz1t 6u7by
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, r3yr)8vgbc 3w0;b raadisplaced slightly from its equilibrium position, and released. What ryb av)3 8b;0ra3c wgris the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequency of 1.27 Hz when di9tt*j ,r( zzc8xaj -qisplaced a distance of 2.0 cm from equilibrium and released. What 8 *x- 9(ijzrqtz jact,is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to different springs. Mass A vibruk cb+r88)j 2m jqe3pz0gaj1 oates with amplitude of 8.0 cm at a frequency of 10 Hz and r0q bkzgpo a8 3m1e2c+j8juj )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 springxbdk t70ks6l (. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance oklxk(b7t 60 dsf 1.0 cm down and released from rest. Calculate the period of oscillation.

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass stretchesxunx.i1 euim 5s50kya6 9m bus i:4k4h 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 total eneri9a016u4h.n4bu5sxi k k5 e msuxmyi:gy of the system.

  A 0.30-kg mass is suspended on a s9:hpz, v+nrhr0f p 2vmpring. In equilibrium the mass stretches the spring 2.0 cm downward. The masm9zrp ph2v:vfnr h, +0s 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 the following position lvakpy84yz4 /b+pj7rv )xra8versus time equatio+akr7 pbxr 4/pv8)zyjlv48a yn:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following position vers(j+ w xv 2n7tl5wterq4: qcqa;us time equation: tq wqxv: qea t2j4ln;(wrc57+
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic cqi lzya-(9wg+( u9tv motion obeys the following position versus time equay+t uvqz(9 aclg-(9 iwtion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free p4 b l;o3sxatc ya6oo,3n.i*mend of a spring executes simple harmonic motion according to the equatio6iptaa b4,mn lyos3.;x*3 c oon $y = 0.50 \; \sin (18\pi \times t)$ 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 zogj2; vr5ujy(f6l 5 pN/m oscillates on a horizontal, frictionless track. At t= 0, the mass is released from r rozfuv5gl2j y(6pj;5est at 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 swin5 phfupb:o 9g6r +vke/8xru(dpdj e+3gs in 8.0 s. (a) What are its frequency and pe (dxjue p95/h g6epfr3b8v :r +ko+updriod on Earth?

  A 3.00-kg pendulum is 2u(/n 4z*uqzq ileb0)e 8.84 m long. What is its period on Earth?

  A pendulum has a per57 a.g;lafppl 9fi (siiod of 2.0 s on Earth. What is its length?

  The pendulum of a grandfather clock is 1.0 m long. What is its 6n;s7r9duvefi vaiy6qx 82: f period on the Ea6 vsxi; nd:q7ief rua698yf2vrth?

  The pendulum of a grandfather clock is 1x -87p-2;wsuyz qqyp q.0 m long. What is its period on the Moon wh2suyx8p z; 7q-qyw- qpere the acceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg sphe oqjoj30b8 7dat,g9 vvrical 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 dia,8bj9dgvv qj0 at37oometer sphere) had been attached to the string instead?

A simple pendulum consisting of a 20-g mass/gj,p-bdr z lqmi/6 (n rz8.bu has initial angular displacement of 8.0e. It oscillates with a p z pjq(znm/dir bg8,/-.lb6 ureriod 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 frequenc ,+iljh idf76e4;9r9fgozwm hy of the wav,f7j9+;4zd6megilif woh 9 hre is 120 Hz. What is the amplitude?

  Figure 11-2 is a "snapshot"g 7ia)wurt0 a(i5y yf, of a wave at a given time. The frequency of the wave is 120,ruy) t gwif aa0y7i5( Hz. What is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a 1jbh m hn)c+45y(ta6.iwtv5dh p sr0i30xdfi given time. The frequency of the wave is 120 H v+di(cny5i4djmxb f01sthpth )w56 i 0ah.3rz. What is the wave speed?

  What is the frequency of a wave which has a period 6mz9u6i .hx zdof 6.00 ms?

  What is the period of a wave8gz.)lat n ob- with a frequency of 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz and46vts fz eo(z: a wavelength of 3.0 m?:zs 6evzo 4f(t

  What is the velocity o1z vyqzrts)/6f a wave that has a wavelength of 3.0 m and a frequency of 12 1st vzyq6z)r/ Hz?

  What is the frequency of a 2.5 m wave traveling at 1400 o 6jh pqscph7h9z.wk29 +fk*m m/s?

  A piano string of linear mass density 0.0050 kg/m mrq.n hl;8p9bc8dcd6 is under a tension of 1350 N. What is the wrdm9 68c;c 8pd. bnhqlave speed?

  A string of linear density 6.0 g/m is under a6ai5:kr kw:ie tension of 180 N. What is the velocity of propa5ke:ri:iwk a6gation of transverse waves along the string?

A wave whose wavelen1x9qw5l xr1ta gth is 0.500 m is traveling down a 500 m long wire whose tott axx 915rwl1qal 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 wave on a 2.0-m l,nmf(j*-(2m dcns emsc0xw 4pong string fixed at both ends is 200 m/s. Which one of the following is not a resonant frequsmsm2ccfwm(,pn j*( ne- 4dx0ency of this string?

  If a guitar string has a fundamental frequency of 500 Hz, which one of thi1x a z+ubnkau9;z35ze following frequencies can set the strik1; a+ xubz3za9uzn5ing into resonant vibration?

  A stretched string is observed to hav )xut a8cwj q3eb4;4aoe four equal segments in a standing wave driven at a frequency of 480 Hz. What driving frequency will set up a standing wave with five equal segmea4u;4aeqt3) owcx b8j nts?

  A string, fixed at both ends, vibrates at a frequency of 12 Hz with a vk)h tu2zc34d j*4z sqstanding transverse wave pattern containing 3 loops. What frequency is needed if the standing wave pattern is to cont2qdkz* zu4tsjc4 )hv 3ain 4 loops?

  A string of linear density 13 dnll5wy/bk6.5 g/m is under a tension of 20 N. What should its length be if its fundamental resokd 6lb5nl/ w3ynance frequency is 220 Hz?

  Find the first three harmonics of a string of linear masa.uf7d+pqvg q6h9 v 3is density 2.00 g/m and length 0.600 m when it is subjected to pq3+ha7ui.gf 9q6dvv tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. When the striniu ,xwl.ms f)bfm4:n :g vibrates at a frequency of 85 Hz, a standing wave with five loops is formedlfbm: : n4mwfx. ),siu.
(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.