The time for one cycle of a periodic process.p 8ih2l)qdtx is called the

  For a periodic process, theyxeqo dn5rw o;r 6.)h3 number of cycles per unit time is called the

  For vibrational motion, the maximum displacement-tqb mjadj0t 55 ra+0n from the equilibrium point is cjj0 5 0q5aar-mtntbd+alled the

  A mass on a spring undergoes SHM. When the mass is at its maxi uya n/0.;p v*g.rzgggmum displacement from equilibrium, its instugan0/ ygg;.p*.rzv g antaneous velocity

  A mass on a spring undergoes SHM. When the mass passes m, yci1+4rfr-cw lfz/ through the equilibrium position, its instantafl,w4rm y1i- /+fczr cneous velocity

  A mass on a spring undeksjdl8*op*zt) ysj: ;,. 9+rjkvk wni rgoes SHM. When the mass is at maximum displacement from equilibrium, its iniskpjvy+w* 9.z8 ,n ostk :;lrj* )dkjstantaneous acceleration

  A mass is attached to a vertical spri dw,lp (:8duu1(cdbc cng and bobs up and down between points A and B. Where is the m(c(: cupcd 1ulwd8,bdass located when its kinetic energy is a minimum?

  A mass is attached to a vertical spring eeul: csy) n3(and bobs up and down between points A and B. Where is the mass located when its kinetic eeu:(ncl) ys3 energy is a maximum?

  A mass is attached to a vertical s g+it mj /t t8fj:/*flrgvr06opring and bobs up and down between points A and B. Where is the mass located when its potg0tfr 6 tv 8j:ig+/mfl/rjo*tential energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down betyn7dc5- h1hi zween points A and B. Whec1n -dh7hi 5yzre is the mass located when its potential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-spring systih*1k)cp*k .lcu ( u 6dyc2dmhem produces what effect on the system's meck .lhk1y(id*)2u pmc uc6*cdhhanical energy?

  Doubling only the mass of a vibrating mass-and-spring sys ojt.h:6-/qfsvij95a xit ajnm.c0a6 tem produces what effect on the systemj6..jms qioa j9iftat6n5 - cxh/0:va's mechanical energy?

  Doubling only the spring cosog2m7zg2h 6wnstant of a vibrating mass-and-spring system produces what effeg6w72s moz2ghct on the system's mechanical energy?

  A mass oscillates on the end of a spring, both on Earth and on the Moon.h3 88;y9yyl(mop6hc6xed ugi Where is the period th h(ye;lc 3 guxy8ipyd6o6mh 98e greatest?

  Increasing the spring constant k of a mass-and-spring system g6 dvbyg ecoi(d5tc-/,iw), gcauses what kind of change in the resonb5 o,i6ecggwgi d -c (yv/d)t,ant frequency of the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system causes9( fc-nyg0opq what kind of change in the resonant frequency of the system? (Assume no change in the systen- f9c0q yop(gm's spring constant k.)

  Increasing the amplitude of a mass-and-sprgbz 0.mh, r52sqrhs 3king system causes what kind of change in the resonant frequency of the system? (0 ,m qsrk2g3hrb h.sz5Assume 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 mass M 6c(2:jqd 6jskjz rrs 6-ymnx+attached to a weightless string of length L. For this system, when undergoin+d6s r(:jny62jrkqzmj6xc - sg small oscillations

  When the mass of a simple pendulum is tripled, the time required for one completr 7cs)i m-c8gge vr imgcg-cs)87ibration

  Both pendulum A and B are 3.0 m long. The period of A is T. Pendulum A is twicf uga*(i7ye (ge as heavy(y *fegagu7( i as pendulum B. What is the period of B?

  When the length of a 1f f2k0gft/l8wvpvx66 cqih ,so42rt simple pendulum is tripled, the time for one complete vibration increases b6 8ktifw v02v4rl2g/fxps16fotq,c hy a factor of

  What happens to a simple pendviy9v(r9. d25+ovb; xu thngjulum's frequency if both its length and mass are incre voxiy+ dt(g92r jb;.hu vv95nased?

  Simple pendulum A swings back and forth at twice the frequency of simple pjogp * g 9sj:a5 jqo/xn76(mtjendulum B. Which statement is 9j*:gjn ( /6p7o mjt5j gaqosxcorrect?

  If you take a given pendulum to the Moon, where the acceleration of gravity)x2i)k7at+. jvzbwum is less than on Earth, the resonant m)+aji7)wb xv2t.zuk frequency of the pendulum will

  Curve A in Fig. 11-1 representsv8d6 msvufdmydi+ 05/

  Curve B in Fig. 11-1 represefvqrac;-fjw)/ 5b h5rnts

  Curve C in Fig. 11-1 representcwi-3 dnz(i1wlp) a.as

  For a forced vibration, the amplitude of vibratcj00xa-nk ;:e 4uxl giion is found to depend on the

  In a wave, the maximum displac;r +ln0 ()ooqwiyjvh( ement of points of the wave from equilibrium is cal+l nrwhy( ; )jo(vq0ioled the wave's

  The distance between successiv6 xy brk(x;,are crests on a wave is called the wave's

  The number of crests of a wave passing a point per unit time is called the ia6f23kjeziod/l1/j s 2r p m.wave'sli/rj2.3feak61 /i2d zjos pm

  For a wave, the frequency times the-wy0ej x yrsk+9dds*r +0sr, c wavelength is the wave's

  The frequency of a wave increases. What happens to the distance between succq +m) 5 rkwoofd83rk40y+q vikessive5qrdmkqkr++ kov y4wfi8 30)o crests if the speed remains constant?

  A wave moves on a string wzb3xznj45k h;as w 4z1ith wavelength l and frequency f. A second wave on the same string b3 swn;a1x4kz5h4jzz has wavelength 2l and travels with the same velocity. What is the frequency of the second wave?

  Consider a traveling wave on a string dn9 lk p,oc37eof length L, mass M, and tension T. A standing wave is set up. Which of the following is tru d3 7c9,lopnkee?

  A string of mass m and length .l 3bt15*s9pj no.cnrup fjj7+k.ccbL 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 mass of the string is increased to 2m, with no change in lengt1.bjrnb95u*occclsjkt fp3j 7n .+.ph?

  A string of mass m and length L is under tension T. The speed of a wave in thej lc :+feulfn08(r9a2xmiu4 u string is v. What will be t:c l jmul0( ruxu+98fen ai42fhe 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 speaw j6(7cqr*i kckhp0 (ie7b2 zed of a wave in the string is v. What will be the speed of a wac(qaib iw*(e7 c7krh6jk2p z0 ve in the string if the tension is increased to 2T?

  In seismology, the S wave is a transverse wave. As an S wave travels thcf/ar 7hk1+fgn gta5(- n /rsarough the Earth5arf/g1 c -aa snnt+ /g7(krfh, the relative motion between the S wave and the particles is

  In seismology, the P wave is a longitudiod l)bh(p3n aam(kl*p; ;i-einal wave. As a P wave travels through the Earth, the relative mo l-iopkmi(3bhe)a*(l;d a ;n ption between the P wave and the particles is

  The intensity of a way; kfp r7lfeh-4z; s-fve is

  A wave pulse traveling to the right along a thin c i+h5f:mo pa(zord reaches a discontinuity where the rope becomes thicker and heavier. What is the orientation of the reflectpi zfo:5+hm a(ed and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each other on a s42.: qtxfsiyye mur-q36fnn :tring, one is traveling toward the right and the other toward the left. At the point that they:.2 mtneuiq4srq :yf63xn f y- occupy the same region of space at the same time

  Two wave pulses pass each other on a string. Th ol7;ju1xyi ;)c)5j z er,xsdde 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 ocid7)o,c;ejyx 15l;) jx szdurcupy the same region of space at the same time

  Resonance in a system, such as /bt(a y 9c04tkd3vwpxa string fixed at both ends, occurs when

  If one doubles the t9 u7 7 ewl13yqa+xtpykension in a violin string, the fundamental frequency of that stripqu9 a 3yw17exky7 lt+ng will increase by a factor of

  What is the spring constant of a springbc 8q4dk-3 gky that stretches 2.00 cm when a mass of 0.600 kg is suspendgkk-8q cd4yb3 ed from it?

  A mass is attached to a spring of spring constant 60 N/m along a horizontal, fri3 yctcl85nesc n,z *0bctionless surface. The spring is initially stretched by a force of 5.0 N on the mass and let go. It * c ,cnl8y ect5bn0sz3takes the mass 0.50 s to go back to its equilibrium position when it is oscillating. What is the amplitude?

  A mass is attached to (3 aou25plmxqdab )9rg7 l b6gtyjr 1.a spring 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 it (g)md962t5 r xb3q .jaap1rllogub 7ys equilibrium position when it is oscillating. What is the period of oscillation?

  A mass is attached toso:o gh/+h+ersx 7jb6 a spring of spring constant 60 N/m along a horizontal, frictionless suj+eh/ : 6 rxhbgsos+o7rface. 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 undey-lryuikitas+ s 8ihr 87 5:8mrgoes SHM. It goes through 10 complete oscillations in 5.0 s. What is m 8sky:s uil8t ry a+i8-hr5i7the period?

  A mass vibrates back and forth from the free end of an ideal sprin+i nw 2zpipng(8j7sla)2q thq:4 e+vlg of spring constant 20 N/m with an amplitude of 0.30 m. What is the kinetic :+ 2i slqewjzh(gn28v)ait 7pnp4 +qlenergy of this vibrating mass when it is 0.30 m from its equilibrium position?

  A 0.50-kg mass is attached to a spring ynl s/ 7-a11dpgaw(y wof spring constant 20 N/m along a horizontal, frictionless surface. The object oal 1np/y(ywga7d1-w sscillates 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 wi)b z(*6xl;qd npnyxg5th amplitude of 4 cm. The energy is 8.0 J at this time. The mass is cut in half(pz) q;yx gdln5n 6x*b, 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 tv;:pxu51 uc *g7ama iika1q)u o a spring of spring constant 20 N/m along a horizontal, frictionless surface. The object oscil;7)c qaui1k5a m:iu*ga 1vpxulates 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 consta t27n :ccrxp( 8g3uliynt 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. At what location a8c nxyr:uip72tlg3 (cre the kinetic energy and the potential energy the same?

  A 2.0-kg mass is attached to the end of se awy+qk.s. 6a horizontal spring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.1y.ak esws+. 6q0 m. What is the total mechanical energy of this system?

  A 2.0-kg mass is attached to the end of ar 3gh1idzx2 5 ga8lebr5jq4.y 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 mechanic28rxgb qjlrhe1 .5yg5a4i3 dzal energy of this system?

  A mass vibrates back and forth from the free end of anc45s0uz/d 1eln kfoi)z f,c:s:o4xeq ideal spring of spring cons0zeikl 45cns,1se uf4fd:qx/cz:oo) tant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-springgja035v+ 8nvztw0zpz system 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 cm and then releasev0g5np+ 3 az zvjz8w0td?

  A 4.0-kg object is attached to a 7,hutlb 26yb; :;k.xv(i1s miqrwxic spring of spring constant 10 N/m. The object is displaced b uk2:ibw7m6b si;vxt i;q lcy,h(.x1ry
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;:hh. 7d qklic spring constant 10 N/m. The object is displh7i;.qc :dkl haced 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 sprejsy (ld)4d+7/jkkw ring constant 18 N/m, displaced slightly from its equilibrium positi dkr7j)4(s j/d kw+leyon, and released. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequency of 1.27 Hz yet:e qu*48wrwhen displa y8ew4 tqre:u*ced 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 different springs. Mass A vibrates wb8c,4vq) wouf z6wu2k ith amplitude of 8.0 cm at a frequency of 10 Hz and mass B vibrates with amplitude of 2,4 vu8bwu kwozc )qf65.0 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 the m e3)4wy1nu w tq6umty3hmx+e7 ass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down +h) t 6nemmqy7w33ty x14uw euand released from rest. Calculate the period of oscillation.

  A 0.30-kg mass is suspended on a spring. In equilibrium tl*z8h kxcwk,x(p-s , ohe 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 k,pk(xcsh- zw* x,8 lothe total energy of the system.

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass stretches t7 an9f3br rr)khe spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and released from rest. Write down its equatnrk9afb7 r)3 rion of motion.

  An object in simple harmonic motion obeys the following position vers g pzebtr2gj3xtld: (g972df(us time equati3:jrdgxg2t p9dfl tg(b z(72 eon:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motionyakk,ss mi cm0u2a 0;; obeys the following position versus time equation y,;iamc0ms ka2k; us0:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic 9y8ee4 m +le4v (s nywri-1tice2 9djsmotion obeys the following position versus time equation994n lr 2cem+ted je1 isy4is8e(v w-y:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free endcqa8p0n7 oav e00 wd)7ope -bg of a spring executes simple harmonic motion according to the qpe w0d7780)ac enag- voopb0 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 a forcbxz )97lth q8ie constant of 20.0 N/m oscillates on a horizontal, frictionless track. At t= hb t)z7x8q9l i0, 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 completz u dx v3 li*0td/uy,gfec4z;0e swings in 8.0 s. (a) What are its frequency and period on Earthgv,;0t4lddfz zu 0/i*yeu3xc?

  A 3.00-kg pendulum is 28.84 m long. What is itsccv6/(p)(h5jmuwss 8t5 ilya period on Earth?

  A pendulum has a period of 2.0 s onkl5rvgelpc9: q*w xkb39 l +qu+/ f0jp Earth. What is its length?

  The pendulum of a grandfather clock is u(+m+m2 .unmch5w3 cx5tuzphhsu)m (;3 s bho1.0 m long. What is its period on the Eartumbm3(m 5hu;h c zm osxpc(2w+n +)hs3uhut.5 h?

  The pendulum of a grandfather clock is r10kr lp8 lv v;ato7ovb;7z-w1.0 m long. What is its period on the Moon wtk 8vr or7 ;;-zbalpvwl7 vo10here the acceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attached to a *c1 o pk)8f 4 gkh)a-crrki1dsmassless string. When the mass is displaced slightly from its equilibrium poso1a18fh gd) kcprck-k i*)r4sition 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 of a 20-g etmgjxep/en;51-hi4 phj o w.;+ 0kkd(* nul amass has initial angular displacement of 8.0e. It oscillates wt ji -ade0/ 5n.j +h4 l;kog pxpu;kn*ew1e(hmith 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 ag hpa1ro09gk8o-uyow)b0 (l j given time. The frequency of the wave is 120 Hz. What is the ampli gbh9l uo8 g o1)o-k0r(pjwa0ytude?

  Figure 11-2 is a "snapshot" of a wave at a given time. The fre y qcj+:oj. utjk7li3-jz0dj, quency of the wave is 120 Hz. What is ,+7-y3d i :0 j.jktjoqjlzuj cthe wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given time. The1; jwx 9 zkf.cy;ji :w37 whq(lhsaop. frequency of the wave is 120 Hz. W j17ajs 9wcoiq;pyf3wz x.:(hw k;h .lhat is the wave speed?

  What is the frequency of a wave which has a period *1 dcyhc4o ld9a w6fq,of 6.00 ms?

  What is the period of a wave with a frequencw( zyoq,b a)q-efw4cww7ri ,9 sp7 aw*y of 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz and a wave5vt94tf;(7nvg dq f kvlk6o-elength of 3. e4oq-fv ;nvd6f7vltk9g (tk5 0 m?

  What is the velocity of a wave that a39wj6bk-vr- xour 2v wl b6,mhas a wavelength of 3.0 m and a frequency of 12 lm -r6-jkb x3ou,a vwrvw9b62Hz?

  What is the frequency of a 2.5 m wave traveling at zlp8p- +yb0akw, ai(k1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is under a ted (gup3 3wc*3a gg:cwlnsion of 1350 N. What is the :d lwc pa33(*cuggg3w wave speed?

  A string of linear denp 6: w/r-oo-zo)hto xjsity 6.0 g/m is under a tension of 180 N. What is the velocity of propagation oo- w6hp: -jxot/)zor of transverse waves along the string?

A wave whose wavelength is 0.500 m is travel s3 n6g.l (suqwrc.0w1b;w hwcing down a 500 m long wire whose total maswwgwwuc sb(.3. r;6 q10hcnlss 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 transrk(qrr2 (5uxvx3(.hjbm - kg y9ii1wsverse 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 rg(9( q.i1r(-3jxxm buhy5wkki 2vrsfrequency of this string?

  If a guitar string has a fundamenta8zch-f ++v f 2. xbgkpkt2(dull frequency of 500 Hz, which one of the following frequencies can set the string into resonankk f+ztuc8.h 2-(v2blfpxg +dt vibration?

  A stretched string is observd np5pds3/q y/ed to have four equal segments in a standing wave driven at a frequ/sp dqn /3yp5dency of 480 Hz. What driving frequency will set up a standing wave with five equal segments?

  A string, fixed at both ends, vi tn8clvl-pa2r/gha2 ;brates at a frequency of 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency is needed if the standing waa2 nh gt2 crllap/-8v;ve pattern is to contain 4 loops?

  A string of linear density 1.5 g/m is under a tension of 20 N. What should its 0n2 qz1p.2s:3pclso5dy e lxwlength be if its fundal dn.1qc2w:le s po25s3z x0pymental resonance frequency is 220 Hz?

  Find the first three harmonics of a string of linear mass density 2.00ggv 85o,fd//jh xml1;es t)ud g/m and length 0.600 fjgh58 m ;d g)e/odsx,/l uv1tm when it is subjected to tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. When the str,i s*vk1 +th l c.9loxi*0umqfing vibrates at a frequency of 85 Hz, a standing wave *mxic,kqh sv9 iul0o*t1+l.f 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.