The time for one cycle y a8qoq5*6 gg.da2cd aof a periodic process is called the

  For a periodic process, the number of cycles per unit time is called tuadyh bwz n/ 3(7i/g: w)waqu,he

  For vibrational motion, the maximum displac/ nm+pvckj) /j. e 3p78m nkd zj48rrley0f:xyement from the equilibrium point is called f/jv0jm ).xyne3cl7kz4r8em njpr/ dk:y8+p the

  A mass on a spring undergoes SHM. When the mass is at its maximum dzt9 rn9nus4n, -,eckdisplacement from equilibrium, itu9 snkn nrz,-,4dect9s instantaneous velocity

  A mass on a spring undergoe 4m dcbs;pety 5;:j+9iy(bl8hm;mg pss SHM. When the mass passes through the equilibrium poe8yc;jblm+pymibd9sh tmg ;4( 5p;: s sition, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass is at maximum displacement 3dk7jh5nme*:my:w7 zwqm5gd from equilibrium, itszwh:m 7d *n ykmd53qem:wg5j7 instantaneous acceleration

  A mass is attached to a vertical spring and bobs up 1aweca(jdd+y1dt /p k. 8+hbf and down between points A and B. Where is the mass lbtf 1(yak awc/e+dd8h+jdp1.ocated when its kinetic energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down betweenb lhwg; 3pxx5;xi8mb3 points A and B. Where is the mass locat53 wimh8; gb3xlxb xp;ed when its kinetic energy is a maximum?

  A mass is attached t70 rnwky*l , /y)hdswjo a vertical spring and bobs up and down between points A and nl0hr7dy w)j,/*w s kyB. Where is the mass located when its potential energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down between pointsekfoti6/f3w t.y3d,) ylo iz 4 A and B. Where is the mass located when its potential energy is a maximum3t.wdt y)i fi/e63fl,4ozoy k?

  Doubling only the amplitude of a vibrating mass-and-spring system prod3m a nhaf:+zz p4e(by2pf)yd . fxqwh83y-he-uces what effect on the sy+3d(: )4hyfey8fywh . q hbxa f2-- zpmep3znastem's mechanical energy?

  Doubling only the mass of a vibrating mass-and-spring system produces what : ubee (eu8/l 1zabc0keffect on the system's mechanical energybaeue0z1lc8ub(e :/k ?

  Doubling only the spring constant of a vibrating mass-and-spring *bzs1 zgo8zo 7system produces what7gb zoz8z1 *so effect on the system's mechanical energy?

  A mass oscillates on the end of a spring, both on Earth/3gh5fare1yaxz(dh ut0 pg 78 and on the Moon. Where u38f5e/ zt0r xpd7 a1(yh aghgis the period the greatest?

  Increasing the springd jo0mwxs+0f)lq0b,qcr 6c+z constant k of a mass-and-spring system causes what kind of change in the resonant frequency of the system? (Assume no cha0w)f b+0c+ 6,s 0omrqjqc xzldnge in the system's mass m.)

  Increasing the mass M of a mass-and-spring system acs9iq( lefr/pwq891ed tjl,n wb;/7 causes what kind of change in the resonant frequency of the system? (Assume no change in the system's spring constant kqqtb8(9 7;driw fjsce elanwl/1/p, 9 .)

  Increasing the ampli hs:4j2 xlxki8tude of a mass-and-spring system causes what kind of change in the resonant frequency of the system? (Assume nh:jix klx84 2so 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 co+ay y w n(2fk18k5lia05 avvwlnsists of a mass M attached to a weightless string of length L. For this system, when undergoing5( y fy 0l2 lwwk5ikaa+v18nav small oscillations

  When the mass of a simple pendulum is tripled, the time required for one .ap.cz.xc ;h1s4h dos3mz0j xcomplete .1 h sz;h jpc0xmo3s4dz.x.ca vibration

  Both pendulum A and B are 3.0 m long. The perioy2x1.x n/1)wnmcx r hrd of A is T. Pendulum A is twice as heavy as pendu/y1nmrwxc.)h2xn r1 x lum B. What is the period of B?

  When the length of a simple pendulum is tripled, the time for one complekt. niqsi-gs*3 3) hsxte vibration increas3ih x.gi3tnq s)ssk -*es by a factor of

  What happens to a simple pendulum's frequency if both its lengthu,p(ya0 qr,(n jcz3gp and mass are in3qzpugr(c,a,0 y( np jcreased?

  Simple pendulum A swings back and forth at twice the frequency of simt3-sfbfon 8 .aple pendulum B.a nts-b f38of. Which statement is correct?

  If you take a given pendulum to the Moon, where the acceleration of gravity is p8g7mq6j ckz(h140n 3ghea6)tgycq u less than on Earth, the resonant frequency of teuh61m)6k04gzgp(qyn g7qacjt38c hhe pendulum will

  Curve A in Fig. 11-1 repree f;*n:*at+dv, lkx 0e8burnesents

  Curve B in Fig. 11-1 represemg .o6fjd (yvfw+ra 5-nts

  Curve C in Fig. 11-1 roj5a2nvh3 xl8 epresents

  For a forced vibration, the amplitude offc b,hdqhz/ 0/ *wm8x2spim9u vibration is found to depend on the

  In a wave, the maximum displacement of points of the wave from equil sqnmf+ky s819ibrium is ca91s8fym knsq+lled the wave's

  The distance between successive crests on a wave is called the waa)2tu m1fbo2m h)b y.qve's

  The number of crests of a wave passing a point per unit time is ca xc)ns:2fow;j ee ).zalled the wave'snj) :w )ocs;a efxe2.z

  For a wave, the frequency times the wavelength is t,)9tp/kvnb(u vn z5. zeokme4he wave's

  The frequency of a wave increases. What happens to the distancr 8e;sicxvrns8 - g+8ie between successive crests if t+ g 8 8c8verisis-x;nrhe speed remains constant?

  A wave moves on a string with wavele:bqh1a5te t0u21fb8rami1( jzzc 9 gz ngth l and frequency f. A second wave on the same string has wavelength 2l and travels with the same velocity. What is the frequency oz i h :tgq(a8 bfmj2u51ebar1t19z cz0f the second wave?

  Consider a traveling wave on a string of l *h,s6t8g3u p a:jmruyength L, mass M, and tension T. A standing wave is 6 3y*upu8smrhj:g at, set up. Which of the following is true?

  A string of mass m and length L is under tension T. The speed of a wave in tca7c7m nn7k8db.i3x fhe string is v. What will77d38n7ccnfbixma. k 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 T. The speed of a ;1 alw fsg52ffwave in the string is v. What will be thfwlf 1a5s 2fg;e 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 speed of a wav0umg(h 0 r8plqc1dt8wle /l7e e in the string is v. What will be the speed of a wave in the string if the tensio00q8ugehr /(l7mte l 1w8lcpd n is increased to 2T?

  In seismology, the S wave is a transverse7a;v 3xmh p 6p9ft*zrk4z:mni wave. As an S wave travels through the Earth, t:x6im7tna9 fhk; 4z p3 rv*mzphe relative motion between the S wave and the particles is

  In seismology, the P wave is a longitu fymxyi+ .-w.udinal wave. As a P wave travels through the Earth, the relative motion between the P wave and the part -.yymu i+.wfxicles is

  The intensity of a w,b s fdnh+t,rl;-fjr,ave is

  A wave pulse traveling to the right along a thin cord reaches a disc* j c;3b4fpo4dpf3kdaontinuity where the rope becomes thicker and heavier. What is the orientation of the reflected and transmittp*oa4pb33kf4dfj c; ded pulses?

  Two wave pulses with eqjw kjpq* 325 l5ue ph0-2blibnual 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 re5jhelbupkqi 5jlp2-02 3wb*n gion of space at the same time

  Two wave pulses pass each other on a string. The one traveling toward 8;9omq+ty lvz the right has a positive amplitude, while the one traveling tyv8 ;9tq+mol zoward 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, such as a string fixed at both ends, occurat 3,+ ;zifb.*7fku5pptm-tg 6kioois when

  If one doubles the tension in a violineg *oo 4/lxe)e )ti3i6zujh/w string, the fundamental frequency of that string will increase by a factou/6i)igjeeh 3oe4o/ x zt)lw*r of

  What is the spring constan: sb5nif fz uz:rgb4qo23 4.stt of a spring that stretches 2.00 cm when a mass of 0.600 kg is suspended from tq43nig5 o2s:sb b urzf4: .fzit?

  A mass is attached to a spring of sp c2+ qslk 4ec s+/ulz/qo-3sajring constant 60 N/m along a horizontal, frictionless su+qs /kl-q+o342cj ucs el/zsa rface. 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 amplitude?

  A mass is attached to a spring of spring constant 60 N/m alon0q3 jnht pxlj:o r2z8/g 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 2x:/h npq j3jzo80 trl0.50 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,an/.owq /ie5c; qh oq5q t9hb 60 N/m along a horizontal, fricthcw;eq atnq5 q/5bo ,qhi .9o/ionless 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?

  A mass on a spring undergoes SHM. It goes through 10 complete osc8y p/v5,bt+el:m6 zrx3m a xtjillations in 5.0 s. Wha / 5bymzve6,8x r:3tj+mp latxt is the period?

  A mass vibrates back and forth from the f c-p,iw afw3r5l-k +h+jmg8tvree end of an ideal spring of spring constant 20 N/m with an amplitude of 0.30 m. w l kptm-58c+jhar3 vf-wg,+i 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 c *zo r vl bp9n-ued++r8dsv/n;onstant 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 equild;n9+-v* rz8p+/ ovnreu lbdsibrium position. What is the total energy of the system?

  A mass undergoes SHM with amplitude of 4 cm. The enefnv vs3i/i-9d 1oc5 nrrgy is 8.0 J at this time. The mass is cut in half, and the3c 9n5nvivr1s-/of di 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 lgtgyg d ..l0sc:v(,espring constant 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. What is the aml g0,gyc .(ev.s gdt:lplitude of vibration?

  A 0.50-kg mass is atbq x4ne1m/lt/tached to a spring of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m1/el/mt4b xq n/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 spri2b 1movj-ik2 ( zgs( segg,ctmk) at.2ng of spring constant 50 N/m and set into simple harmonic motion with an amplitude of m 21jcsis(v(2g-2eg otm . kbk,tg)za0.10 m. What is the total mechanical energy of this system?

  A 2.0-kg mass is attached to the end of a horfiy5 qi j95z3tizontal spring of spring constant 50 N/m and set into simple harmoij 5zy 35tfi9qnic 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 sprint m8u:zr:;85x;j wk7h rze maag constant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kinetic energy of this vibrating mass?87rjza tmw5kuezr ;::m;ahx 8

  The mass of a mass-and-spring system is displaced 10 cm j1,wu hqb*,3a:.v7 8cakkbcy yerg+kfrom 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 r ,u.b+y:, j ae8a1b37rhywgv*cckq kkeleased?

  A 4.0-kg object is attached to a spring of .ew :a mgr)/m:xl; nsespring constant 10 N/m. The object isls :anw.:/); gmemr xe 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 springc 913 payvjo*a constant 10 N/m. The object is disp*joc a9v 1y3palaced 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 ofbc,,a4f)g;x: g bk gvk;zd2sp spring constant 18 N/m, displaced slightly from its equilibrium position, and releasa d,; 2v4:)g, p;zfbxkkgcsgbed. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a f,u4ma wjwszdm2*l +3nrequency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What is the maximum velou+l *,nm jz32swd4wma city attained by the mass?

  Two masses, A and B, are attached to different springsdg*vt6mws 9c a(.y jk9. Mass A vibrates with ampliksw ma6.vgt(99*jcdy tude 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 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 mass stretchesr6*ht w;j .ofn the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and releasefroh. 6*; ntjwd from rest. Calculate the period of oscillation.

  A 0.30-kg mass is suspended on a spre n51r9.qqskb ing. 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 energneb 59qqk.1r sy of the system.

  A 0.30-kg mass is suspended on a spd-zdh)f-pr7ite)m 3 qb8uzd;ring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then p3t merhfd)- d7qp-)zd; i z8ubulled 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 followib9947qhb en bjng position versus time equation 4 hqb9j9bb7en:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following position versus tim+updhd dhm7 /8e equatioh8h7+d up/ddm n:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys t41ril,a, nsbch n .l,bhe following position versus time equn1 ,cll,b niba,sr4.h ation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of o uhuuwip*e+ja,x.c3 5bv 1(c a spring executes simple harmonic motion according to the eqc,x*wouib3hu a 1(+5v u.jepc uation $y = 0.50 \; \sin (18\pi \times t)$ 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 oivsv ntfnduos ;s9s,4p2 /f0 lss/x(4f 20.0 N/m oscillates on a horizontal, frictionless track. At t= 0, the (nu2f0xdsp os ns4i;v s s,fs/t4/9vlmass 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 swings in 8.0 s. (a) What are its frequency aytf gt(fr691zi;d c kdv;:zd:nd period on Eargft d 9cyki:v:fzddz;6; t1r(th?

  A 3.00-kg pendulum is 28.84 m long. Wh aqb 5dprujv0a 1vd)4(at is its period on Earth?

  A pendulum has a period of 2.0 s on Earth. yyobb5c n67njer-mmi kc h17:n 0e ;i/ What is its length?

  The pendulum of a grandfather clock is 1.0 m long. Whau gxn5 v06d yzydz++q)t is its period on the Earth?ydzx+ gudv 6)+5 nyz0q

  The pendulum of a grandfather clock is 1r/ ,-s- rknchh.0 m long. What is its period on the Moon wheres c n/rh,kr--h the acceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attach+/jovg;ml u :cj)t*dxed to a massless string. When the mass is displaced slightly from its equilibrium positionu djv+mx j;t/* l:)ogc 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 mass has initial anoxsge:1 /,p9k eezw5 f8ngo(k gular displacement of 8.0e. It oscilogkz/ pn(gef9s8,1kwe5 :oe xlates 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" of a wave at a given timullm0v 4 c(* a86f./ v nj5dd*qzjptmcm(bx g:e. The frequency of the wave is 120 Hz. What is the amplitude? v. mtbq (/fmj8*gpcdl5(az0d ml*u cjv: x n64

  Figure 11-2 is a "snapsyhw /3k*w2b ptsok (5qh2et,w hot" of a wave at a given time. The frequency of the wave is 120 Hz. What is the wavelengk*wkwb(,ts2 q / w5h32oythepth?

  Figure 11-2 is a "snapshot" of a wave at a given timeb- sc,put e2du8vxm.3 . The frequency of the wave is 120 Hz.-8d evmt3.scxuu,b 2p What is the wave speed?

  What is the frequency of a wave whicnkfqvgq(bzcno+ rq0+o-95;t h has a period of 6.00 ms?

  What is the period of a wavek;cp9wm5y 39d ,r wkhj with a frequency of 1500 Hz?

  What is the wave speed if a wxg8 :*wrmbm-eave has a frequency of 12 Hz and a wavelength of 3.0xr em w*gm:-b8 m?

  What is the velocity of a wave that has a wavelength of 3.0 m and opn *s :6y5*s qqno.vja frequency of 12 o*n65 onsq.* :jqsy pvHz?

  What is the frequenck, wo6wjt o;l5y of a 2.5 m wave traveling at 1400 m/s?

  A piano string of linea.5bkei yjzd 8;r mass density 0.0050 kg/m is under a tension of 1350 N. Wby58. dei;jz khat is the wave speed?

  A string of linear density 6.0 g/m is underga*zgp.ejc3, a tension of 180 N. What is the velocity of pra c e3z.jg*pg,opagation of transverse waves along the string?

A wave whose wavelength is 0 c citm px6b9,jo16hqe 5j,cv..500 m is traveling down a 500 m long wire whose total mass i mopj,bvct. q6,e6ccj1x 59his
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 cbg2 ldy./i:elong string fixed at both ends is 200 m/s. Which one of the following is not a resonan/2 i:dbg lc.yet frequency of this string?

  If a guitar string has a fundamental frequency of 500 Hz, which one 46mb17omud ;e)*wqu -yswblr of the following frequencies can set the string into resonant vibrat s b6m4y u)w17;odbm*wqurel-ion?

  A stretched string is observed to have four equal segmegid0nbov w t p9*v65y7nts in a standing wave driven at a frequency of 480 Hz. What driving frequency will set up a standing50b 9g6 otiyvw vnpd7* wave with five equal segments?

  A string, fixed at both9 b 4oy5wvpx dak,95sx ends, vibrates at a frequency of 12 Hz with a standing transverse wave pattern containing 3 loops. Wha5px4y vk5d9,9 sxow bat 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 s yhd 3pw: a4s*pq7jxz/is9( rshould its le srq ah :pdw374yi *p(s/jxzs9ngth be if its fundamental resonance frequency is 220 Hz?

  Find the first three harmonics of a string of linear mass densityt p(w8erlh 8t8c4l 8gf 2.00 g/m and length 0.600 m when it is subjected to tension of 50.0 N.ft epg888( ll 8cwrt4h

A string of length 2.5 m is fixed at both ,h 9zjekv/pw1ends. When the string vibrates at a frequency of 85 Hz, a p1ez,h j/kv9w 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.