The time for one cycle of a per :ura3(t mpe( fev1:hh up1 0-t7cfopqu j-a:wiodic process is called the

  For a periodic process, the number of cycles per unit time ;0 dalaeqrlpy; d,rw7b 8ys ,7is called the

  For vibrational motion, the *51 9 tndll3ozj1uvghmaximum displacement from the equilibrium point is cz3*9ht olvdj u1ng5l1alled the

  A mass on a spring undergoes SHM. When the mass is at its maximum displaca8u fcsif1 pb2 bt8s7g f *e6vfg7a/k(ement from equilibrium, itsvbef8 fs1(f67 a7i guag2kp8 /s*cft b instantaneous velocity

  A mass on a spring undel8c c(2 2)+snsizzlnergoes SHM. When the mass passes through the equilibrium position, its is82 s2inlcze+ n )z(lcnstantaneous velocity

  A mass on a spring undergoes SHM. When the massio/ iov q-z+5s is at maximum displacement from equilibrium, its instai/so+-o 5i zqvntaneous acceleration

  A mass is attached to a vertical spring and 27+airdn:x o0,r*y+ xnnww cybobs up and down between points A and B. Where is the mass locatw ra nwx xn2c+0o,n+y:*dryi7ed when its kinetic energy is a minimum?

  A mass is attached to a vertical spring and bokd-cll9 8;qlx 2 ;bgrrbs up and down between points A and B. Where is the mass located when it;x9 cl-2 bgdlkq rrl;8s kinetic energy is a maximum?

  A mass is attached to a v4, vqh-uyg: ww* lt,ckertical spring and bobs up and down between points A and B yl 4 ,:uvqkwhw-,tc*g. Where is the mass located when its potential energy is a minimum?

  A mass is attached to a vertical spring andbiti3nn4e 1itg(1 nde /+f: :dbeh7wo bobs up and down between points A and B. Where is the mass located when its potential e1gnw3e7 /ed :dho4 i niftib1b:n+(t energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-spring system prodc/bc d(o:sx n-.n:l , rtc1ydx6o/ ubpuces what effect ody,do/6 n: 1 r.pbb x oulct/:snxc(c-n the system's mechanical energy?

  Doubling only the mass of a vibrating mass-and-spring system prodi)zy s/1 75bpygbx8ibuces what effect on the sy8gyx5/ibz b ib17s )pystem's mechanical energy?

  Doubling only the spring constant of a vibratin/6n x;ieg;v tgg mass-and-spring system produces what effect on the;vg;et6 i/ngx system's mechanical energy?

  A mass oscillates on the end of a spring, both on Ear8,bd5ehe4hzl frs n kc*b) 0e2th and on the Moon. Where is the period the greatesn 4flerz 5e0sbd,hkhc )*28ebt?

  Increasing the spring constant k of a mass-and-spring system causes what kind o- 4f.jh a0l-l(r7jx;jo uoweuf change in the resonant frequenclj4rlo.hxjoe- f(0- a 7wju; uy of the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system causes what kind of chkspnbrm 83. dgtl*p/ .ange in the resonant frequency of the system? ( g*dpm8sbn t r/l3..kpAssume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system caxw7w +*01vlsc, ukdrouses what kind of change in the resonant frequency of the system? (Assume no other changes0slw xv,r kwdo7 uc+1* 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 mass M attached to a qkmq mqaf1/9or6x,() vinmq7weightless string of length L. For this system, when undergoing small oscillaqq n6moim1vq x /k,m9) fa7(qrtions

  When the mass of a simple pendulum is tripled, the time requ a(gv39k d/wl5 kz5zsdired for one complete vibratiosg5d zak3d vw9kl5z(/n

  Both pendulum A and B are 3.0 m long. The period of A is T. Pendulum (njcat)0fd v b d9d8o0A is twice as heavy as pendulum B. c dft)8n 0v9bjd0(dao What is the period of B?

  When the length of a simple pen7i 00pc foe,/jcu. -jr96qvbjbhfp d2dulum is tripled, the time for one complete vibration in/.b 0 vuie9 hpf67rbjc2pfdc q j-o0j,creases by a factor of

  What happens to a simple pendulum's frequenlt3e+ *zu qt5-n0t ybhcy if both its length and mass are in*bt+53 nlty-t uh0ezqcreased?

  Simple pendulum A swings back and forth at twice th::drav :8zk1dgsxd, y e frequency of simple pendulum B. vd8ds1,d:kr yg: az:x Which statement is correct?

  If you take a given pendulum1p wvo6nbw/ /u to the Moon, where the acceleration of gravity is less than on Earth, /bpn/vww16o uthe resonant frequency of the pendulum will

  Curve A in Fig. 11-1 represex zk6g1; z4t6 n0vy7kcbvc jl8nts

  Curve B in Fig. 11-1 rept ownia y hl2n6h -w,4hcry75+resents

  Curve C in Fig. 11-1 o sv6k qd0v15srepresents

  For a forced vibration, thaa/2rnd-+mw j e amplitude of vibration is found to depend on the

  In a wave, the maximum displacement of points of the wavezyfqte *slo ; *rp03j* from equilibrium is called ft ;*je 03orsl*pqy*zthe wave's

  The distance between successive crests on a wa5opl wj8e7nz6 ve is called the wave's

  The number of crests of a wave passing a point per unit time myq5em a4,9ei is called the wave'sm95, qi a4emey

  For a wave, the frequency times the waveleng+r mv2r3ve9 uath is the wave's

  The frequency of a wave 5dm2bv4 vfood9e6,ep increases. What happens to the distance between successive crests if e6o2e vf 45ovm9b,pddthe speed remains constant?

  A wave moves on a string with wavelpqo i*g,f*-n-ctcbtz2 f ;ku 2ength l and frequency f. A second wave on the same string has wavelength 2l and travels with the same velocity. What is thef *ogtk z;qi2ubcfn,pt-- *c 2 frequency of the second wave?

  Consider a traveling wave on a string i0ss6evl9 *yl s rtobh3 ,d1w9of length L, mass M, and tension T. A standing wave is set up. Which of the followi 1vs9iwr,tlb*o0 3 sedh yl6s9ng is true?

  A string of mass m and length L is under tension T. The speed of a wave in3eju1 g:v79(aon kv ie the string is v. What will be the speed of a wave in the string if the mass of the string is in79ug: (o31jv veainkecreased to 2m, with no change in length?

  A string of mass m and length L is under tenave5lrgnp,98 z5:nw ssion T. The speed of a wave in the string is v. What will be the speed of 98p: sez,grw5av lnn5 a wave in the string if the length is increased to 2L, with no change in mass?

  A string of mass m and len h9,jmbz it9ga/xslna(al)8)w; *ii fgth L is under tension T. The speed of a wave in the string is v. What will be the speed of a wave in the string if the t w 9/giil tn8xs)ma b* i)afl;9(ajzh,ension is increased to 2T?

  In seismology, the S wave is a transverse wave.mepjo-t x)k8rav *24l As an S wave travels through the Earth, the relative motion between the S wave and th tpk-vj2*) mro84 xaele particles is

  In seismology, the P wave is a longitiwspz1( ep+5wudinal wave. As a P wave travels through the Earth, the relative motion betwepzi51 sww (ep+en the P wave and the particles is

  The intensity of a wave iq/h 3c:zd81 f ajgoje5xn.x*ks

  A wave pulse traveling to the right along a thin cord reaches a disz 9 m2ycdhldu1b,)ea: continuity where the rope becomes thicker and heavier. What is 1d d e)lh ycm,bz92a:uthe orientation of the reflected and transmitted pulses?

  Two wave pulses with eqxwou*y/n.hk9f ;ro(sl) .fkw ual 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.kx hyf;*w9 ksl/of rwo).( nu space at the same time

  Two wave pulses passhmw o7cj89onj4zr o(u ;m r6t, each 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 nom6,o 8 j7t wcrzoh(u; jm9r4they occupy the same region of space at the same time

  Resonance in a system, such as a string fixed aagc k+;23l a;lgcyv y,t both ends, occurs when

  If one doubles the tension in a violin string, the fundtbz y yf)79c-mamental frequency of that string will increase yy )t-7bmf9zc by a factor of

  What is the spring constant of a spring that stretches 2.00 cm when a 6ok9:gq i-e:+jzhsq u:lt2bemass of 0.:b2q:th izqe6kjg: e+ 9lous -600 kg is suspended from it?

  A mass is attached to a spring of spring constant 60 N/m along a horizontal, f8us m83gls il6rictionless 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 equ68u slml8 gsi3ilibrium position when it is oscillating. What is the amplitude?

  A mass is attached to a spring of spring constant 60 N/m along a hcy5q/hs( fcloa.8 mx: orizontal, frictionless surface. The spring is incq8fhy5:/ amls(oc . xitially 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 period of oscillation?

  A mass is attached to a spring of sprini1 6sn 8 iotpq+vja*q7vr9,tmx , 3fuwg 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 equilibri,av qq,st189i 3mx7iwnojtruv*6 f + pum position when it is oscillating. What is the frequency of oscillation?

  A mass on a spring undergoes SHM. 0xzstgvo-bf /0x.n:o It goes through 10 complete oscillations in 5.0 s. xx s0.t ngv:0ob-zof/ What is the period?

  A mass vibrates back 4ccf ;dz 3/qg,;seksp 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 esd4z/pc;; ef sq cgk,3nergy 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 biyv w)2 6j c;k,j8odvN/m along a horizontal, frictionl, ;vvjc8o jyid62 wbk)ess 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. Trvv q7yk8hj0r dh350ahe energy is 8.0 J at this time. The mass is cjvv0 qr 75adk8y h30hrut in half, and 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 spring of spring constansy2*wn )3z onpzmv-g4:h ,gawt 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 equilmo)avnw: 2 hggz34yp, wz*sn-ibrium position. What is the amplitude of vibration?

  A 0.50-kg mass is attths m2j0j 8z(xached to a spring of spring constant 20 N/m along a horizontal, frictionless surface. Themzj028h tj(s x 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()tsngi 8 8xlw of 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 mlws in)xt(g8 8echanical energy of this system?

  A 2.0-kg mass is attache6 08 yhif4yspbk g2ve+d to the end of a horizontal spring of spring constant 50 N/m and set into simple harm+fbhp80ksyvi g y6 24eonic 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 2:6s jltrz7q nideal spring of spring constant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kinetic energy of this vibrating mass?ztn7j:ql6 rs 2

  The mass of a mass-and-spring system is disp 0.u-rdjdr+ kbd5;baalaced 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 cm and then released?djrdr ubd.0 ; +a-ak5b

  A 4.0-kg object is attached to a spring of spring constant 10 N/m. Thekq: /g7ys k2tapt3ke +xcz,p0 object i :kgta t,k y7+3sce0zqxk/2pps 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*prioqzgo us:n//7pk g+424h zht0s j spring constant 10 N/m. The object is disp/ozsgpjkg0*n/ruz+o74h i 2:stqph4 laced 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 sprinl qvel7 -8bggd)+5lriz6w7 xy g of spring constant 18 N/m, displaced slightly from its equilibrium positio7z6ey 7gb) 8-w gdliqlrx+l5v n, and released. What is the frequency of its vibration?

  A mass is attached to a sprinmm ++crf-xd2 vg. It oscillates at a frequency of 1.27 Hz when displaceddmv+ -rf 2+xcm a 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 diff lmn 4:oozi(u2erent 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 cm at a frequency of 16 Hz. How doe:i o2z4o( nlmus the maximum speed of A compare to the maximum speed of B?

  A 0.30-kg mass is suspended on a spring. In equilibrium the masvb nqyj349r6v3d; b x0mq r5wzs stretches the spring 2.0 cm downward. The mass is then pulled an additional disv6dnmr;y j9wrbx33 4 v5b0q qztance of 1.0 cm down and released from rest. Calculate the period of oscillation.

  A 0.30-kg mass is suspended on a spring. 9bzf,ai2a ik 50wvi0jIn equilibrium the mass stretches the spring 2.0 cm downward. Tf 5i9iwzv02ki,0a jb ahe mass is then pulled an 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 om;)0b qsrf,2 j9uyrl an a spring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an a s9ryfmuljb)q,a ;r20dditional distance of 1.0 cm down and released from rest. Write down its equation of motion.

  An object in simple harhn ng17:8nz.n7 yxphm monic motion obeys the following position versus time equp7xm n:gh8n.yn 7z n1hation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following posit wiihum14jb +v0l kk0:ion versus time equatjikm0hb+u : lv14wk0iion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic moq qkx(x *)qk o9(ns.eav ut7g(tion obeys the following position versus time equatigak*kqe(9x v.n qsq(o7tx u)(on:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple harmonic motib(pc*it b;8paon according to the ;p8( patci*bbequation $y = 0.50 \; \sin (18\pi \times t)$ where y is in meters and t is seconds. What is the period of vibration?

A 1.5-kg mass attached to s d8j+;elnmpf d.p uc(,pring with a force constant of 20.0 N/m oscillates on a horizontal d dp,+ mcpleu.(n;j8f, frictionless track. At t= 0, the mass is released from rest 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 sps;r96xo e3 5fs,fmv jwings in 8.0 s. (a) What are its frequency and period on Earth?;6j93,sm xeffpr5osv

  A 3.00-kg pendulum is 28.84 m long. What is its period on Earf;z(vbvp tww4d72 ri6 th?

  A pendulum has a period of 2.0 s 4ik ydzm03bj bds69f6 on Earth. What is its length?

  The pendulum of a grandfather clock is 1.0 m long. What is its h)k )zo.;joag): tijkperiod on the Earth?oj t.aji ho):kg))k ;z

  The pendulum of a grandfather clock is 1.0 m long. What is its period on thebf6ygwi i*;/y Moon where the acceleration du fyg6ybi/w i*;e to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attached to a mar 3q:rtxdmdf+x3i6n32 esuk/ ssless 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 (e/fnq3 d2msxr3 rt u i3:kd+x6same diameter sphere) had been attached to the string instead?

A simple pendulum cone/y*s *l./sst 4 8wthbi3 efeosisting of a 20-g mass has initial angular displacement of 8.0e. It oscillatefet8l s/i3 /yth4*ew.ose*b ss 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"x/vsg2sc kpw6+f00w gqc9fyq1weyb) k09j 7r of a wave at a given time. The frequency of the wave is 120 Hz. What is the amplitudewe7g k0w gj 6b1vws9qr2c+0yf/ksyx) 9fpc q0?

  Figure 11-2 is a "snapsho xscfs7l;icy(i5 770 psy x0:cbia(a zt" of a wave at a given time. The frequency of the wave is 120 Hz. What is the wavelex0 sia 5 ix7s:lcyfb(7yza7(cp sic;0ngth?

  Figure 11-2 is a "snapshot" of a wave at a given time. The fr1 ju5ladp); xkc(o4wrequency of the wave is 120 Hz. What is thk)j;(w45 lua1orxc p de wave speed?

  What is the frequency of a wave which hasavzofwa4b,.-l) y i)j a period of 6.00 ms?

  What is the period of a wavdv zc(v;3jst +e with a frequency of 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz and a wavel,imit z)v )s.cm*bw :sength of 3.0.wvsicbt, m z:i)m*)s m?

  What is the velocity o y0d2ldhh2 3bthwv4f8f a wave that has a wavelength of 3.0 m and a frequency of 12 Hhy02 dl2 hvthwb 83d4fz?

  What is the frequency of a 2.5 m wave traveling at 1400 m/s?w 243prqaef dnoi-k*/ik,+og

  A piano string of linear mass density 0.0050 kg/m is unde /lsc5twg2m.bq 3v,str a tension of 1350 N. What is the wave speed?c. ml3qsb/s,t52 gvtw

  A string of linear density 6.0 g/m is under a tension of 180 ut5w lc/-0e7v 6duonp N. What is the velocity of propagation of transv pd6o50 7weltvun- c/uerse waves along the string?

A wave whose wavelength is 0.500 m is traveling down a 500 m long wire whose to1mb2.:e meep.j :tpbotal mass is.e2bp .t meepb1:jm:o
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 propayk9mo:6r+h2ay(.m ae n yt8 twgation of a transverse wave 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 this stri + y(thtny2a. m ro:mw96e8yakng?

  If a guitar string has a fundamental frequency of 500 Hz, which one of the fobb )fzz1*: )ymh hk6pplloh kb*bpz)pf)zm : 1y6hwing frequencies can set the string into resonant vibration?

  A stretched string is observed to have four equal segments iwsovt9ajr 5 x/z0ube, 7vi6hgr 1)gi,n a standing wave driven at a frequency of 480 Hz. What driving frequency will set up a standing wave with f uv1x 6 igo,bh7tgjs r/9),5zr0waiev ive equal segments?

  A string, fixed at both ends, vibrates at a frevq hs6t2whr1(gde)44ek )cz jquency of 12 Hz with a standing transverse wave patt g) sh(wz21erd4eh k6) qvt4jcern 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 rg87s obq*ihk,n*t1 gshould its lengkito7 b,**1 gsr8 hqngth be if its fundamental resonance frequency is 220 Hz?

  Find the first three harmonics of a string of linear mass density 2.00 g/m and lnbdnk8. pq/ wsds (3*gength 0.600 m whenngs qsn83dk.( *bw/ dp it is subjected to tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. When tltnbwjo.687/r/y, p i(q th c,ha;nwthe string vibrates at a frequeqw;h, t 6 8l(h,ry.ncat /bi/7njtwopncy of 85 Hz, a standing wave with 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.