The time for one cycle of a periodic process ryv8pkn /;zd7is called the

  For a periodic process, the number of cycles per unit time z;2mri6.r2hp9 c,ueei+e mbi is called the

  For vibrational motion, the maximum displac+ec 86i 7 aka.-q:;gcpab awbgement from the equilibrium point is caw:kg -+ccaei6 pab.a8;aqb7 glled the

  A mass on a spring undergoes SHM. When kp4+ szwx55vm vx)r-rthe mass is at its maximum displacement from equilibrium, its irvz5swv+)kr4x5 -mxp nstantaneous velocity

  A mass on a spring undergoes S e1uheg4sr xct2o 17:uyi;q 9rHM. When the mass passes through the equilibrium position, it i;qur 1x2ts er4y hgc:1e7ou9s instantaneous velocity

  A mass on a spring undergoes SHM. When the mass is at maximum displacement fr 6wj-fvp/ggqybx h:/h 3xrw8- om equilibrium, iqh/8wpj - bfyv:r3x-whx 6gg/ ts instantaneous acceleration

  A mass is attached to a vertical spring and bobs up and dck: fhehih+eoiu2 0ak7a.8b 4 own between points A and B. Where is the mass located when its kinetic energy is a minimumi0 e4kihc :akh82 f+aub. oeh7?

  A mass is attached to a vertical spring and bobs up and down between povmp8xp7re ff7+s* (aw bai4h-ints A and B. Where is the mass located wi 77xpwrs+ebfmp84 aa v(f*-hhen its kinetic energy is a maximum?

  A mass is attached to ajoc;xqq +q5 /k vertical spring and bobs up and down between points A and B. Where is the mass located when its poten5qq;q/c jxko +tial energy is a minimum?

  A mass is attached to a vertical spring and bob9iim ;,m af7mws up and down between points A and B. Where is the mam;w,mi9m aif 7ss located when its potential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-spr-al0g/ii5 ykwm4r a4ring system produces what effect on the system's iylrir-54aamk/g0 4w mechanical energy?

  Doubling only the mass of a v j85-co-w7go3km8 foj uut4lpibrating mass-and-spring system produces what effect on 8u wkj4opmto7ofjgl5-c 3-u 8the system's mechanical energy?

  Doubling only the spring constant of a vibrating mass-and-spring sys1 dk9m2xe(uag tem produces what effect on the system'1 xgu9d2a(meks mechanical energy?

  A mass oscillates on the end of a n63nsuz/ 5 emsnof)n8spring, both on Earth and on the Moon. Where is the pnen/u ms86 on nsz5f)3eriod the greatest?

  Increasing the spring constant k of a mass-and-spring system causes w7h 5mw4epetp; hat kind of change in the resonant frequency of the st45eppemh 7w; ystem? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system causes what kind of chang,e (;9pn6 h6jl lma)lxd byb0oe in the resonant frequency of the system? (Assume no change in the sysdo lhnj;()l yl9pa60eb mb ,6xtem's spring constant k.)

  Increasing the amplitude of a mass-and-spring system causes what kinxrkq d9 xu 06o6/wx5zwd of change in the resonant frequency of the system? (Assume no other changes iw059z r/6kquow x x6xdn 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 co8+u r 9.gj e jhqnjhk+.b/:wymnsists of a mass M attached to a weightless string of length L. For this system, when undergoing q:r/ynbjjhu .+gej .w8 +mh9k small oscillations

  When the mass of a simpbj wthfs1-7m1le pendulum is tripled, the time required for one complete w fm7h1bs1-jtvibration

  Both pendulum A and B are 3.0 m long. The p.;d6qni 0shqhh7,rn heriod of A is T. Pendulum A is twice as heavy as pendulum B. What is the ,dhh ;nhq6 0i.qn7s hrperiod of B?

  When the length of a simple pendulum is tripled, the time f eh/ 7nn/twl-)j1fr i i +c*cud(dg(ewor one complete vibration increanghn+w r(7) l1/i/teu( fd*-ceiw cjdses by a factor of

  What happens to a simpl8h* d0zd5wi(nwzplb +e pendulum's frequency if both its length and mass are incread8i5p(0 wd +bn *zhwzlsed?

  Simple pendulum A swings back and f6(k5p:n* oz8jlel y.k6xjpxc orth at twice the frequency of simple pendulum B. Which statement is c:yp.xjpcx* 6j86l o5zle (kk norrect?

  If you take a given pendulum to the Moon, where the accelera /e929ifv ut8 cy(whcytion of gravity is less than on Earth, the resonant frequency of the pendulum wu/9 tv wiyhec(82y9fcill

  Curve A in Fig. 11-1 represe 90-go eir rb*qpxu4bp/k+jo m7; dn;zr)sce8nts

  Curve B in Fig. 11-1 fq6rfn5ieiyucll:1h 3l: 8u5)p rr (trepresents

  Curve C in Fig. 11-1 :u2p(wxqjs o*represents

  For a forced vibrati9hz rb :4k0 kxt59tvhion, the amplitude of vibration is found to depend on the

  In a wave, the maximum d2/jf +h kkymays0e296u3jq qc isplacement of points of the wave from equilibrium is called t92c ufe3+yk0j/2hjy k 6 amqsqhe wave's

  The distance between successive crest:zma 7 zg3ym5zlp f*funhj77,s on a wave is called the wave's

  The number of crests of a wave passing a point per unit time is calle ob8p(*2nrxlnd the wave'rx2 8bl(p*non s

  For a wave, the frequency times the g,h6lt v.us3 hwavelength is the wave's

  The frequency of a wave incrb2q.fk17hxaw4et --y deo48d bb/i cu eases. What happens to the distance between successive crestb7e4-bwxa4ce8uo y-d.2bi/ k d1h t fqs if the speed remains constant?

  A wave moves on a string with wavezs8o yf+1 4c8wx4 4e. rcgtzndlength l and frequency f. A second wave on the same string has wavelength 2l and travels with the same velocity. What is the frequencyg w c.44szc+d8ze8o1 f4txyrn of the second wave?

  Consider a traveling wave on a string of length L, masv wnbyc +5u*5ss M, and tension T. A standing wave is set up. Which of bv+c5s *yun5wthe following is true?

  A string of mass m and length L is under tension T. The speed of a wave in 04uavoj 23, tx.xmmgd5b -fjethe string is v. What will be the speed of a wave in the string if the massaxg m- 5j.dvjtb3,o0 2fe um4x of the string is increased to 2m, with no change in length?

  A string of mass m and length L yu: 0:hxorx*t 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 length is increased::x0 x y*htuor to 2L, with no change in mass?

  A string of mass m and length L is under tension T. The 1+57ac9ka1b ok knmge speed of a wave in the string is v. What will be the spee+1km5kabk1nc79 oe a gd of a wave in the string if the tension is increased to 2T?

  In seismology, the S wave is a transverse wave. As an S wave travels thro,9( wspk-he8a*h bh vjugh the Earth,hsk, b8 9e- jhp*(avwh the relative motion between the S wave and the particles is

  In seismology, the P wave is a l2 a ,rix7u:o2 b 57zqgpvsdh1yongitudinal wave. As a P wave travels through the Earth, the relative motion between the P wave and the particle7y:p gravu1szb7i2o5x ,h2qd s is

  The intensity of a waxp(9b3:srte4we br r +ve is

  A wave pulse traveling to the right along a thin c5kk/ 3u jkx0ac z cg)+f3l2bwzx9 2mflord reaches a discontinuity where the rope becomes thicker and heavier. What is the orientation39/lf+ kw25cu kzgx2kxfzj3a ml 0c b) of the reflected and transmitted pulses?

  Two wave pulses with equal posw /yd29otkbnc7 t1g w,i a*1qritive amplitudes pass each other on a string, one is traveling toward the right and the other towa9*2nt w7agi/ dkr yq1obc1t,w rd the left. At the point that they occupy the same region of space at the same time

  Two wave pulses pass each other on a string. The one traveling tolsti)g d3hpk xd 9u2 m6mbl//vm*6*xsward 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 occupy the same region of spacmpil6hmmks2xu gx* 9)/36 /t blds*v de at the same time

  Resonance in a system, such as a string fixed at both ends, occwvgjiu-fu/g)b9 4 f 0qurs when

  If one doubles the tension in a violin string, the fuwit z jfbx4wa029 f3bg21 ejg8ndamental frequency of that string will increase by aw28wf x 2fg10gatijz 3bj 4be9 factor of

  What is the spring constant of a spl iu7k4 iv+(paring that stretches 2.00 cm when a mass of 0.600 kg is suspenvupk +a7i (4lided from it?

  A mass is attached to a spring of spring constant 60 N/m alongr9usmfmgey-z3rk i.4b(ds- 8 a horizontal, frictionless surface. The spring is initially skre4 m(-.mz fb r-98ydsi sgu3tretched 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 to a spring of spring constant 60 N/m along a horxz n+43*x ,vuod1*ahk+ nadvyizontal, frictionless surfa 1u+*nhnaady4 x o+*3xvvk,zdce. 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 period of oscillation?

  A mass is attached to a spring ofk rnirhsfl/:c2o6 i,(u 9eb s+ 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 n6ou+/(,ssf:irhk r2 9lbecilet 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 undergoes SHM. It goes through 10 complete oscillations(h,il r6xc4i g in 5.0 s. What is the period c(r,6i 4xhlig?

  A mass vibrates back and forth from the free end of an ideal wt pc1/dp qeb(2u6 v gh3-su)uspring of spring constant 20 N/m witcv pu qgb6 t eu/s2-d)(pwuh31h 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 attached to a spring of spring constant 20 N/m along 1 3m+svngs5 tna horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s at the equilibrium possv13+ngts nm5 ition. What is the total energy of the system?

  A mass undergoes SHM with amplitude of 4 cm. The energy is 8. 0hs,uiu2u tp/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 the energy of the system nsu/ ,2hitup0uow?

  A 0.50-kg mass is attached to a spring 8(7yb+yxp tbh0 (rtxhof spring constant 20 N/m along a horizontal, friction h8(yr70b +ytxpbt(hxless 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/m along a horikkvg)t,v61cz zontal, frictionless6,vg tzcvk1k) 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 energy the same?

  A 2.0-kg mass is attached to the end of a horizontal spring of spa)x c i:sqck-j3u a:29:zowmiring constant 50 N/m and zacoqw : x3)s9:2:aj m-kuici set into simple harmonic motion with 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 horizontal spring of spring consta7zq2ezz8l , q v+zm-x( t+mlbynt 50 N/m and set into simple harmonic motion with an amplitude of 0.1zqytzleq zz++ mx 87mv-,b (l20 m. What is the total mechanical energy of this system?

  A mass vibrates back and forth fro1g 82wmkzhb;* u-bxt2tqgza:m 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 ox z1hqgt: b tabkzgm;-2*u8w2f this vibrating mass?

  The mass of a mass-and-spring system is displaced 10 cm from its equilibrium xa gkz oxd8)13n1w1 g: ciuax61tx0/zid6ch vposition 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 daux t 1:6nik)hczx/08d1a 6zvciox1x3 w 1gg released?

  A 4.0-kg object is atty rxov2f;-ux )ached to a spring of spring constant 10 N/m. The object is dispo xx; v)fyr2u-laced 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 ,qnjs 7fzjl u:9qq5suf;m 9r6 constant 10 N/m. The object is displaced bqj r5qfu6f ;zs:n l7,9 qjm9suy
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 co7z1nyjjk k6/m4 j.yj m*tkmb3 nstant 18 N/m, displaced slightly from its equilibrium position, and release3 k4 ym6mzkjb*/ntjj 1.y7m jkd. What is the frequency of its vibration?

  A mass is attached to a spring. It oscie ,t;z6,lznzw llates at a frequency of 1.27 Hz when displaced a distance of 2.0 cm frtzw6zez ,ln ,;om equilibrium and released. What is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to different springs. Mass A vibrateu3zmb+0g+ dxq s with amplitude of 8.0 cm at a frequency of 10 Hz and mass B vibrates with amplitude of 5.0 cm at a fmgbzq +0 u3+dxrequency 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 equilibztc+h3ef79 ;+dhhd( zxquo7e rium the 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 the period of os c79zedh q(xh;foh++ t3d7zeucillation.

  A 0.30-kg mass is suspended on a spring.f.2m :u9 ylhdl4bw 5dzb9ak8l 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 from rest. Calculate the total energy of the systemh 9k5 b2wflul 8y4a:zl.bdmd 9.

  A 0.30-kg mass is suspendeq.r y +f7tt2mfd on 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 from rest. Write dowf +qtf2 mty7.rn its equation of motion.

  An object in simple hl ikqn,p poy(8,v4b/marmonic motion obeys the following position versus time equalpm4o/viyq,(b 8kn p ,tion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the folloao7in0j rhm75lv m51 swing position versus time equath7 slr 7vj1mn5maio5 0ion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeipg4 7,xygj g,ys the following position versus time equai 4g, ,yxjpgg7tion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring e f7sjbj07zw80 x2x tgexecutes simple harmonic motion accor0xf 2xjj7gzets70 bw8ding 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 a force const/rg*by3r+ems2 1-oz+zvqcdcant of 20.0 N/m oscillates on a horizontal, frictionless track. At t= 0, the mass is released from rest at x= 101 3/vy-g*r+ z so+qrmcb zed2c.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 swihjqc4vzf 1b c7fjl13* ngs in 8.0 s. (a) What are its frequency and perij1 c fb4cz*3fl7 h1vqjod on Earth?

  A 3.00-kg pendulum is 28.84 m long. t h3pi5jm j/,lcl,vm wq.u8, j What is its period on Earth?

  A pendulum has a period of 2.0 s on Earth. What is itsd)vlds j :*ja/ length?

  The pendulum of a grandfather clo92:gtz dv-q5s-wl.i0s szikbf n ,q/ jck is 1.0 m long. What is its period on the Eartzilszjisq ,d0t -q5/9nwk2:v-b.fs gh?

  The pendulum of a grandfather clock is 1.0 m long. What is ( dx94nlilt9+ i(aab3jab dh;its period on the Moon jnd9aba b+ xallh 39d(ii(4t;where the acceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists ocm1am y d38f+h zknw9t;ds 98lf a 0.25-kg spherical mass attached to a massless string. When the mass is displaced slightly from its equilibrium position and released, tk;ym l81 d8tch w+ds39famzn9he 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 mass has initial angular displacement of) : g-09gz5c)x zxv7dvxb.h;hrsmpxf 8.0e. I.vgrh)9 xzms;7zg phf 0) dxc5bxx-: vt 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" ok:hm osv1r gwq4-p;b2 f a wave at a given time. The frequency of the wave is 120 Hz. What is 1ob4 2kr- w gvq:hms;pthe amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequevz2q * h(k+amt18katl c;0 lcency of the wave is 120 H*8 kmvltt2;(hazec l1qc0a k+ z. What is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at r w /(ziywbvb /;ebf/4a given time. The frequency of the wave is 120 Hz. What is the wave spee//;z /b4bwr iyb(vw fed?

  What is the frequency oflgd*vvj x9a-h 2c ;h.alosn (; a wave which has a period of 6.00 ms?

  What is the period of a wave with a frequency of 1500 Hz?i3unk/ t n+bl/

  What is the wave spe9nr1 *b ..hwse- evnb/qsm7 is;6wlb oed if a wave has a frequency of 12 Hz and a wavelength of 3.0 mw.m- 7 9vb h.ne*sbn;1s oi wblsrq/e6?

  What is the velocity of a wave that has a wavelenixx6 hdkci(:/ h/rdu 7bv/lv,gth of 3.0 m and a frequency of xbvi(i:7 v /h,/dlx uc6rh/dk12 Hz?

  What is the frequency of a 2.5 m wave tralu jnc1 gxh0kkj7eab 2z5n6w,jv-8. wveling at 1400 m/s?

  A piano string of linear mass density 0.0050 kg ;0qvyl pib p7x*c.lw2hh(m8g/m is under a tension of 1350 N. What is the wave gb*c; .yipqlv8w 0hh pxl7(2m speed?

  A string of linear density 6.0 g/m is unde u1sz.d.0xaor 8jp+d xzvig6 tt ),jg;r a tension of 180 N. What is the velocity of propagat t vg8d0z.x)6zs.t agp1u,+jjo rx;d iion of transverse waves along the string?

A wave whose wavelength is 0.500 m is traveling down a 50w:rqc:6a+g83vua vio p/ n /hb0 m long wire whose total maaq ravpc/ :3hg6u8+vib/o n:wss 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 7jmd;te m-f/u .1i 5 dhnemb9jof 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 resonfnm .5 de/;7im mdhjje1-9b tuant frequency of this string?

  If a guitar string has a fundamental frequency ofar zyzw8:+1qb0 bqfw0 500 Hz, which one of the following frequencies can set the strinf 1b0 w qwzbqz:8ya+0rg into resonant vibration?

  A stretched string is observed to have four equal segments in a standing wave 5y-0w,c m0w zml mac-lieqh 43driven at a fremw3ylw -hm5 aeq-i c0m 4,l0czquency of 480 Hz. What driving frequency will set up a standing wave with five equal segments?

  A string, fixed at both ends, vibrates at a 5c6j mcv *ljr0frequency of 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency is j*l5cv jmc06r needed if the standing wave pattern is to contain 4 loops?

  A string of linear density 6vgzf(p ) fos36rk1;hmua4h e1.5 g/m is under a tension of 20 N. What should its length be if its fundamental resonance freavr36 kfue ;m)zo(s h41 p6fhgquency is 220 Hz?

  Find the first three h hi hxubp7bbtq)1m 9+8armonics of a string of linear mass density 2.00 g/m and lenb+iu 8x7)p9mtbhq b h1gth 0.600 m when it is subjected to tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. kn aae:uo*yvtt q1*31 When the string vibrates at a frequency of 85 Hz, a standing wave with five loops ke yt1nqa1u: t*ova *3is 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.