The time for one cycle of a periodic pro(ldkp+3kkhli-v 3h7 dch8mr 5cess is called the

  For a periodic process, the number of cycl+2,y*.5zbzkgcqv j :cfll* okes per unit time is called the

  For vibrational motion, the maximum displac i7ax9 o1fj48gfgtgt4ement from the equilibrium point is calle1fg gg9 ttiao74f 8xj4d the

  A mass on a spring underg ewronb 2w n,. n9i3l1nkz5h7ooes SHM. When the mass is at its maximum displacement from equilibrium, its instantaneow,nlew1iz 7 ro2kn.n3bh 9no 5us velocity

  A mass on a spring undergoes SHM.h)5fqc3r)q yv When the mass passes through the equilibrium position, its instanf)c hvr)q y35qtaneous velocity

  A mass on a spring undergoes SHM. When the mass is at maximu mh;ars1 tijba/:.g)fm displacement from equilibrium, its instantaneous acceleratibr:.saifag m)t 1jh;/on

  A mass is attached to a vertical spring and bol -zw89ke 0p,zpb ug+tbs up and down between points A and B. Where is the mass located when its kinetic energy is a minimum? ektw8glpbu9p ,z-z 0+

  A mass is attached ta r0 4 i4;mzwv5gufhknk :xu45o a vertical spring and bobs up and down between points A and B. Where is the mass locaf0u4vx5 4zk n;45:aw m uhkirgted when its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up ayb ;t0yhc4h8t nd down between points A and B. Where is the massth80yc;t4 bh y located when its potential energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down bf,l2+,jxap+ iw sa ,efetween points A and B. Where is the mass located when its potential energy is a maximumf fw,j i,ae,xas2+p +l?

  Doubling only the amplitude of a vibrating mass-and-spri wva 5pp7*j,.o bku u1nuu5/wmng system produces what effect on the system's mechanical e uku/pb51p ma.uv,7wwn*j5u onergy?

  Doubling only the mass of a vibrating mass-and-spring sy8fg:r3m x0 j*a1pji ajstem produces what effect on t:p81ij gjxajfa0r m*3 he system's mechanical energy?

  Doubling only the spring constantwzg-wt* ..s fg bg)w kx2;izt7 of a vibrating mass-and-spring system produces what effect on the system's mechanical energy*zg g.)swf w;tzt7bg2i w.xk-?

  A mass oscillates on the end of a spring, both on Earth and on the Moon. Wlftcf u9e 08gp)v-5 tohere is the period the greatevpu50 cf8-gt9ft e)l ost?

  Increasing the spring constant k of a mass-and-spring systetd o)/z79qz lpm causes what kind of change in the resonant frequency of the system? (Assume no change in the system's mass m.)7 pzt)/ d9olzq

  Increasing the mass x1u zi/6tqqn o)zu-*b7w. kdkM of a mass-and-spring system causes what kind of change in the resonant frequency of the system? (Assume no change in the s wu.kt qkbx6z /7qznu1o)i *d-ystem's spring constant k.)

  Increasing the amplitude of a mass-lhu bpwmn)*p,e u/)tqb9x- 4woc: y 9iand-spring system causes what kind of change in the resonant frequency of the system? (Assume no other )-o: b9w y *uq/weilnm)c9 pphb4x,utchanges 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 weightlecx pc 8863 xd ouk f)pat(ut.4c5nwg(qss string of length L. For this system, when undergoing small oscillatcpx8d8 pw) ftn3g. uqcx564(oc ukta (ions

  When the mass of a simple pendulum is triplc,49n vay8deh ed, the time required for one complete y9nc 4vd8hea, vibration

  Both pendulum A and B are 3.0lkfb 18. iug*y m long. The period of A is T. Pendulum A is twice as heavy as pendulum B. What is the period 1lg uy.i8fb* kof B?

  When the length of a simple pendulum is tripled/.mjwh qh(a 1b3k ,eor, the time for one complete vibration ea(,h31 mb /ojrw.hkqincreases by a factor of

  What happens to a simple pendulum's fr3ksz (p8i2: embu v(yyequency if both its length and mass are incr vky m:ez(83syubip( 2eased?

  Simple pendulum A swings back anbfhfo4z 8 b-0yp1al o2d forth at twice the frequency of simple pendulum B. Which sta8 hplb-0yf b241oz ofatement is correct?

  If you take a given pen0,dij z7ior vkc *0hwtkt46zkh8yf/9dulum to the Moon, where the acceleration of gravity is less than on Earth, the resonant f*kyo k6hft7vk9ihwrj4 00tc, iz/8 zd requency of the pendulum will

  Curve A in Fig. 11-1 reprk1 ipj u0ru0e2esents

  Curve B in Fig. 11-1 represr /7l k rrhwi, sj*zra+t:auna k2;/2nents

  Curve C in Fig. 11-1 represenu c c ybe8.j9fw4*.qqghx ew)*ts

  For a forced vibration, the amplitude of vibration is found tx54v ufv rcyo ujkv :10xy,h95o depend on the

  In a wave, the maximum displacement of points 8 ea00)fh l.lnb3fplspgy5b6of the wave from equilibrium is cas8en l0 f6g0bppf bh)ay.5l3llled the wave's

  The distance between successive crests on a wave is called the h0soyq:rn 3s e ac0*.cwave's

  The number of crests of a watq/r2 i/: yvjt +v3:5poavolave passing a point per unit time is called the wave'svto lp/a+yv: jat2 oiv/3: 5qr

  For a wave, the frequency times the wavelength is the wav0d nrcxx gq/94e's

  The frequency of a wave increases. What happens to the distance betwepgc 3o l8s5u+k3k) lsa pjq-i.en successive crests if the speed remains conss5apc l- i .op)8k3k+luq3 jgstant?

  A wave moves on a string with wavelength l and frequency f. Aoe(o, f 3+*9 fgro.vcz*ctgarc3 3cqv second wave on the same string has wavelength 2l and travels with the same velocity. What is the frequency of thg9z c3(3reoftof,cqc gvcv 3*ro.+ a *e second wave?

  Consider a traveling +qam4vh u5zg9*v) g qiwave on a string of length L, mass M, and tension T. A standing wave is set up. Which of the following is tru4 v+q*i5au)gm ghq9vze?

  A string of mass m and length L is under .qp pnqq64md 4ukw;1ptension T. The speed of a wave in the string i kw pq44ppd.q n;qm6u1s v. What 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 tension Tqzn2tdj *5skmm2r(2 4eza*r u. The speed of a wave in the stringz auzn*225s2j(qdr kemr 4*mt is v. What will 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 lengtxhq 2gn(c/u,mh 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 strux(ghq 2, /mcning if the tension is increased to 2T?

  In seismology, the S wave is a transverse waverg* /oo.s5w rm. As an S wave travels through the Earth, the relative motion bwo.5mgo/sr* r etween the S wave and the particles is

  In seismology, the P wave is a bz+g lvdd;/(8d:p2 1 dnxpqlflongitudinal wave. As a P wave travels through the Earth, the relative motion between the P wavvz2 lb/;q xld(d n+ddf:18gppe and the particles is

  The intensity of a wave i3skb u.z 3os qsubl255s

  A wave pulse traveling to the right along a thin cord reaches a disconatqv )/h qe*qtr 6)eal)x;0l itinuity where the rope becomes thicker and heavier. What is the orientation of t)qet)t e)qr 0h;*qvx/6 lial ahe reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each other on a string4bcbrk 1z ei2ye+qj-qu4w4l 5 , one is traveling toward the right and the other toward the left. At the point that they occupy the same region of sp+ 5bkz2e4qrwlq1 j y 4ecib-4uace at the same time

  Two wave pulses pass each other onam i)l y rw-kgn5d ijo0)qm;jjh4 +y;8 a string. The one traveling toward the right has a positive amplitude, while the one traveling toward the left has an equal 8o 0ymn+k4ajr yq)i -m);ilg j5j;dwhamplitude in the negative direction. At the point that they occupy the same region of space at the same time

  Resonance in a system, such as a string fixed at both ends, occjz+r4:lo:crqq)-uncq,m6 gs urs when

  If one doubles the tension in a violin string, the fundamental frequency of th1 i:qmp1k 5codat string will incrpqo1 k 5:idcm1ease by a factor of

  What is the spring constant of a spring that st v,o fh2ypn+wv(+nm+hp v7yw *retches 2.00 cm when a mass of 0.600 hywnvfw+ (o np+h+*y2v,7v pmkg is suspended from it?

  A mass is attached to a springg(xch8wf lnz1t5u w sjv50x0c ji8a 8: 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 g588(f8 :xvzx5u0l n gwicjtj w1s0ca ho back to its equilibrium position when it is oscillating. What is the amplitude?

  A mass is attached to a spring of spring constant 60 N/m along a hdr spw(m2io/p4i7 z4 fr vxw89orizontal, frictionless surface. The spring is initially stretched by a force 4(i wrz/94poxi fm7 s8r pwvd2of 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 60 N/m along a horizcs or9:k);yeuontal, frictionless s o9ye s:rcuk;)urface. 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?

  A mass on a spring undep 1d8yhc4gi(.9ap:w5kw ejsf*.sq zd rgoes SHM. It goes through 10 complete oscillations in 5.0 s. Wi(*p: a9hwwsqy 8jpdcez gdk. f14 5s.hat is the period?

  A mass vibrates back and forth from the free end of an ideal spring of spring co3 0ua /lsdn132:4+nt km.iqjufw wvllnstant 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 equilibrium02nndu1klvwqt3 : fl/ijau+w4 m. 3ls position?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m alonnaj kmxtwn5 :bw 2o(78aak7f/g a horizontal, 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 energykwa7xm:w 8/bkfa 2a57o nt nj( of the system?

  A mass undergoes SHM withu6fb g:e- x9eglpb0+qs6m (rc amplitude of 4 cm. The energy is 8.0 J at this time. The mass is cut in half, and the system i- x u:q( gm 9es6ebprfglcb6+0s 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 kl9skp:ny rq za4n gi4*0 *b*ha spring of spring constant 20 N/m along a horizontal, friction*4 a0rk*ynzbpqn hsl4 k* g:9iless 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/z6hpet8hf5 -j hnvgkr*t szny2n3 ex1+5nn:0m 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 pgjn*s5z3ht n21 hf0h-n+y5e tnnxz8 6 rvp: ekotential energy the same?

  A 2.0-kg mass is attached to the end of a horizontal spring of spring conszet,m0v w: ayz1,ru*etant 50 N/m and set into simple harmonic motion with am,ue :*w e1v0r zytz,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 horizontdcxt+4(kxmj+x,*rkaa m p)5gp9vd )qqg4 c2c al 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 of this sysggkacpxdm)pqjc* q)k,cmt 49xa vr2 xd (+5 4+tem?

  A mass vibrates back and forth fr7 gnzjv- ;09g1bryvbp om the free end of an ideal spring of spring constant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kinetic energy of this vibrat7 vy gbp b09ng-j1v;rzing mass?

  The mass of a mass-and-spring system is displm rbg3t6jw,;*pq ;5hd tng)vbaced 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 rel) w gbt,hj;6*bv q5t gp3;mrndeased?

  A 4.0-kg object is attached to a spring of spring constant 10 N/m. Tcimaj+m .8- n bl-b1mhhe object is displaced byib+- l.hmjmmba1 -cn 8
5.1 cm from the equilibrium position and let go. What is the period of vibration?

  A 4.0-kg object is attah/ jt 1ln4(5 kow8b5xjxf0 qkhched to a spring of spring constant 10 N/m. The object is diqhwx/(kt584ljof n0bj 1 xh5 ksplaced 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, displaceglm( 1yvw.hq*cbj )9 pd slightly from its equilibriu)c* bhmwy1 vjlqg (9.pm position, and released. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequeu z1f-j vsd,:p2vz9rbncy of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What is the maximum velocity azj urf:v9b zvs2,d1p -ttained by the mass?

  Two masses, A and B, are attached to different springs. Mass A viax.uw k 4w1a-y kofp61brates with amplitude of 8.0 cm at a frequency of 10 Hz and mass B vibrates with amplitude of 1u fkawyox46p1ka- . w5.0 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 equilibrium ekr.zpx/kb 1y/i9ge5p hh i*tl am:x+)d*j.ethe mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distanh9rp/1gi*) py5kazx* xmb:i.l/ed.+he etkj ce of 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 n(+ onlx7;dr m/o+lngmass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm dowr7ndn+o+n gl lo(/;mxn and released from rest. Calculate the total energy of the system.

  A 0.30-kg mass is suspended on a spring. In equilibrium the ma.zij fn fgwyf3f-g52/ss stretches the spring 2.0 cm dowi-wf zn5g3. y2 fffg/jnward. 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 the following position versus/etu( opx(cr71zqkmd , . u2sk time equatiom71 (dstx 2 .,qkc kez(urou/pn:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the follq 7b r+w:jet0pu+/r*j oxzd;6 na7rbaowing position versus time equat +aorr+*jp dwubaezj6/r t; nxq7:70bion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic mozc)bw( ni.ofqv33 i r9tion obeys the following position versus time equa )q3. vf39zicown(birtion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple harmonic momz6 yi;qk t9p;mml4y,iw; n;c tion according to the equation ty4z c69li;; p; mqynmwk m,i;$y = 0.50 \; \sin (18\pi \times t)$ 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 o qp69ssp dh(/4nmsru :rb9:ybf 20.0 N/m oscillates on a horizontal, frictionless track. At t= 0, the mass is released from rest at x= 10.0(rbsnp s9dq rhuy49b:6s m:/ p 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 r8f w+z4pq(zo:vpx/n8.0 s. (a) What are its frequency and perivroz:4pw+(f zx8 /n pqod on Earth?

  A 3.00-kg pendulum is 28whhpif1ysr+ mi6; ,b)4 pz1u j.84 m long. What is its period on Earth?

  A pendulum has a period of 2.0 s on Earth. 2f tscb,4 8hpf What is its length?

  The pendulum of a grandfather clock is 1.0 m long. What is its period oniofxf q a6bd82*)c fl* the Eartxcfli d*qf*o 2)a6f8bh?

  The pendulum of a grandfather clock is 1.0 m long. W278q yysmbq-mh n.d 4 t8mo f4isbhq(3hat is its period on the Moon sq.i4q-8 y2 dmo4h3nh qm tb(7yfbm8swhere the acceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum cod.one0*w x.ha+8p q fwnsists of a 0.25-kg spherical 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 diameter sphere) had been attachedfd*aw qe 8.xw0hp+.no to the string instead?

A simple pendulum consisting of a 20-g mass has initial angular displacement ofba 8uc nvl(bg 7va33)f 8.0e. It oscillatau(b a83 7)v3fcgvlbnes 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 "sna() pjh blap,g4pshot" of a wave at a given time. The frequency of the wave is 120 Hz. What is th al,)(h4gjbp pe amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency l.iof- yn-v (jof the wave is 120 Hz. What is the wavelengvjn i-l-yfo. (th?

  Figure 11-2 is a "snapshot" ocjm;oyc96s*wqes4h z; j+ k.ju(uif0f a wave at a given time. The frequency of the wave is 120 Hz. What+0ujmsy6(ufi;j ;*qjo c9h 4cskz e.w is the wave speed?

  What is the frequency of75ggcbau +h8.niryd2zet(by)6kn1 j a wave which has a period of 6.00 ms?

  What is the period of a-)rq cn tdq;qdz46.ey5 v5yvv wave with a frequency of 1500 Hz?

  What is the wave speed if a wave has a fre4,vzr4g dycawn.f(i, quency of 12 Hz and a wavelength of 3.nrgd c (fyz4i4w.a ,v,0 m?

  What is the velocity of a w3 5y0pfj6ltdkp6b. eyee i )9epc-. bpave that has a wavelength of 3.0 m and a frequency of eli ye6.0peydb p6j) f9bkp- t5ce3.p12 Hz?

  What is the frequency of a 2.5 m wave traveling at 1400 m/s?bsmp9)tjox3 d+, cr4h

  A piano string of linear mass density 0.0050 kg/m is under ayk8;lyxq5r,5ev-grmme7* w3 e.0m oaz pk4o a tension of 1350 N. What 7*pe80oemqaxmgr.voe55, ;r am-3 4wk k zlyy is the wave speed?

  A string of linear density 6.0 *d7c; 2f vg:ahjzo.(j io gl(rr)(qljg/m is under a tension of 180 N. What is the velocity of propagation of transverse waves along ta.r;*j z:rjfg2 vog c) (q 7i(d(llhjohe string?

A wave whose wavelength is 0.500 /:ulpmxue2n ).w5 g9ws ykui,m is traveling down a 500 m long wire whose totax2,wpemk.iu 5)/ g:unuw 9syl l 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 long string fix8.xxesf 1wx* jed at both ends is 200 m/s. Which one of the following is not a resonant frequency of this string 1xfwxxs.j8*e ?

  If a guitar string has a fundamental frequency of 500 Hz, which one of the folnjh y xq1jqc*uma0eo9:/ n*y :lowing frequencies canjq oe0/h:*xnuyjc: m* y19nqa set the string into resonant vibration?

  A stretched string is observed to have four equal segments in a szy-(0hfn) mc ptanding wave drimf(0ny z p)hc-ven at a frequency of 480 Hz. What driving frequency will set up a standing wave with five equal segments?

  A string, fixed at both ends,zt kz*0x5fppll- i9 -i vibrates at a frequency of 12 Hz with a standing transverse wave pa p*0kpfl 9-5-izlxtizttern containing 3 loops. What frequency is needed if the standing wave pattern is to contain 4 loops?

  A string of linear dentf )j2-j1soigc,i ./wljiouebmi4- 15c-b b asity 1.5 g/m is under a tension of 20 N. What should its length be if its fundamental resonance frequency i 4.sjbiwiu/2eiibbm ocj -lta),1--cgj5 fo1s 220 Hz?

  Find the first three harmonics of a s-rn o0w-f qrl4s xin3:rtzl q)njv.) (tring of linear mass density 2.00 g/m and length 0.600 m when i:t )l (xq3s rnvzn.)ronl4wr i0-qjf-t is subjected to tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. When the string vibrates at r-a-*c0qro wfln0al hm-mm61a frequency of 85 Hz, a srclafhw1qn- a-0 06oml m*rm- tanding 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.