The time for one cyclei juxb. /7v9tmnd:ec/ of a periodic process is called the

  For a periodic process, the6goku.)cb 9/v1 la3p8cw(wr 1obr ipr number of cycles per unit time is called the

  For vibrational motion, the maximum displacement from the g -s y(ceb*pd1equilibrium point is called sbe g*-1y(pdcthe

  A mass on a spring undergoes SHM. When the mass is at its ma tp y59y+xk2urximum displacement from equilibrium, its instantaneouu ptyr5k92+yx s velocity

  A mass on a spring undergoes SHM. When the mass passes through the equilibb* oeg;x l5hjlxq )u-s17qw e4rium position, its instantaneou7*qxeug h5wbx 1ole-sj );4qls velocity

  A mass on a spring undergoe,dphv re*saz gv2)+bf4a.th3s SHM. When the mass is at maximum displacement from equilibrium, its instanta+ p b f4shvz 2)v.ehtga,3ra*dneous acceleration

  A mass is attached to a vertical spring and bobs up and down between points A anccu1z pyqg4h t. a,/s0:+nuodd B.c0 :snz4ou q1,.chpd/+ y utag Where is the mass located when its kinetic energy is a minimum?

  A mass is attached to a vertical spring and bobs up andp p r8:lw vd,/wm*v2ff down between points A and B. Where is the mass located wd*p/f,lp v2 :8fwvm rwhen its kinetic energy is a maximum?

  A mass is attached to a vertical su()q0fk0 rj+m2m c;3 -bsy gboad(v .czy,q ycpring and bobs up and down between points A and B. Where is the mass located when its potenti0g, j y((-;amov)0kfd.yqz b scc 2yqbrm3+uc al energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down betwt.w h466ilv +kzogyk ;een points A and B. Where is the mass located when its potential e6vtk4 ohw g;y+ikz6l.nergy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-spring*8:.vcvezs/ 3utxwt ) dj ufc1 system produces what effect on the system's mechanvcd8t : /.e)t u3vzc1uxsfw* jical energy?

  Doubling only the mass of a vv)5udfoy*+ f clw-mu 0ibrating mass-and-spring system produces what effect on the system'w d0f5-vycu)m f*+lous mechanical energy?

  Doubling only the spring constant of a vibravpc-z 3yri;s4*lfwn ;w 4i r0iting mass-and-spring system produces what effect on the s03 i;r*4zryn 4wwv-fpicls;i ystem's mechanical energy?

  A mass oscillates on the end ofnkdb+ 2z3. (ythqj() b1z fwrg a spring, both on Earth and on the Moon. Where is the gy )q( k1z tnbd3rfw2.+ (zbjhperiod the greatest?

  Increasing the spring co(l*na ;ceql95: ssz yf l1vy+ttisc*1nstant k of a mass-and-spring system causes what kind of change in the resonant frequency of the system? (Assume no change in the syst1cs*lz v qysly(a;t+:icelf9*sn5 1tem's mass m.)

  Increasing the mass M of a mass-and-spring 19tm kfg i g-(y.h e jng3cqbzkj23h5oji -z;1system causes what kind of change in the resonant frequency of the system? (Assume no change in the system's spr 5kimg21c9jgeht3(zqby h oz-i;1-.g fjnj k 3ing constant k.)

  Increasing the amplitude of a mass-and-spring system causes whates i3ru* u1k3kc,h 5rm kind of change in sek,mck3uh3i5*1 rr uthe resonant frequency of the system? (Assume 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 attached to a weightle9e bd xa7yd6ta)scz0i36d 3ll-tv: vbss string of lengthdyel0a ia9 v s-dd :6v3b)bzxc tl37t6 L. For this system, when undergoing small oscillations

  When the mass of a simpay -rmv f-+*nsle pendulum is tripled, the time required for one complete vn *m+y-rsfv- aibration

  Both pendulum A and B are 3.0 m long. Th+/nrx6c +taanj8. 6d az p;mnne period of A is T. Pendulum A is twice aj.nzanrx6n6ct+a a 8 /m ;dp+ns heavy as pendulum B. What is the period of B?

  When the length of a simple pendulum is tripled, the time for one complete v+7 u(cfj2d(iwxqx y.jh+ z6xbibration inxj2x(z.+wxbqdhy c7(f ji6u +creases by a factor of

  What happens to a simple pendulum's frequency if both i x7cv snfjj4 *1u*fmf),7aixb ts length and mass are increase7a x*svx,n 1 m4u bcf)fjij7f*d?

  Simple pendulum A swings back and forth at twice the frequency of simple pep,g9rco uzh (s3x1g1t( v um3pndulum B. Which statement ip zg3tm cho,r3(xg9p u1(1suvs correct?

  If you take a given pendu.ywv, p3 vfb y/.*(hdqq(lgiylum to the Moon, where the acceleration of gravity is less than on Earth, the reso.hfgywiv/lq. ,3 yy(v*pq (db nant frequency of the pendulum will

  Curve A in Fig. 11-1 r08 i*vjsttf. ) /ibnvrepresents

  Curve B in Fig. 11-1 represqjjx fua ,b8/q184zqxents

  Curve C in Fig. 11-1 represezs3 h+.dlhc ( 72nh2ihv f1dbbnts

  For a forced vibration, the amplitude of vibration is found to depend on zt-y+yay k/;lvixvt g .*:au8the

  In a wave, the maximum displacementyr b;wzh .uc0n+ )z8yu of points of the wave from equilibrium is called the wb u y+zunrc.0w8z)h;yave's

  The distance between successive crests on a wave is called the wav3h ,*owsabv sxq2qs91e's

  The number of crests of a wave passin3yq2wtl nz,6 ig a point per unit time is called the wave'szyl w nq3it26,

  For a wave, the frequency times the waveleng v*j)tu3fgp zc(1vh* rth is the wave's

  The frequency of a wave -s( /6r3inirw.qq0 v s -juabyincreases. What happens to the distance between successive crests if the speed rem3s(u yii0baw -r.nq/s6 -rvqj ains constant?

  A wave moves on a string with wa.lhjpf5i)mzlnk f-,+3t8h )e jo vou6e b57 cgvelength l and frequency f. A second wave on the same string has wavelength 2l and travels with the same velocity. What is the frhe-tu5le 8z7+)l fbm, 3ho jjci novg6fpk. )5equency of the second wave?

  Consider a traveling wave on a string of length L, mass M, and tension T *8xv *5xqh2tj dkzgq9 ir5)zk. A standing wave is set up. Which of the follozhqx)tk8g v x qk9* rj25d*iz5wing is true?

  A string of mass m and length L is under tension T. fmf-kn:; / m:di(6 :*,wqm dpuacetlq 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 changepeqdc-lm:u:,(/f ;:mmit*nfqw d k6 a in length?

  A string of mass m and length L is under tension T. The speed of 9qn 7mudpg81 mokj4*ra wave in the string is v. What will be the speedm q4r m1o78kd*j9gu np of a wave in the string if the length is increased to 2L, with no change in mass?

  A string of mass m and lengtha ) :htq)kn*.mr.axncmi02y +sw dc4z L is under tension T. The speed of a wave in the string is ydhr* a2zm.s)4 x.m+ia cnkn: )qw 0ctv. What will be the speed of a wave in the string if the tension is increased to 2T?

  In seismology, the S wave is a transverse 2(p0*m; gusq(t dralb9d ejo:wave. As an S wave travels through the Earth, the relative motio; j:gqu r(e pb*dts9oa(ml0 d2n between the S wave and the particles is

  In seismology, the P wave is a longitudinal iwjvjd 0 sy.f;efj;:2wave. As a P wave travels through the Earth, the relative motion between the P wave and fwd 0vj:js. 2iej ;yf;the particles is

  The intensity of a wave ix7mata)lf38jtx/ auw65x+x ep4)ydxs

  A wave pulse traveling to the right along a thin cord reaches a discop6 pbtoqa*-k 4/ws;rtntinuity where the rope becomes thicker and heavier. What is the/w6 paktq- ;bs t*pr4o orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitude*3;qv8wvw a,v5p;6k z sxceyns pass each other on a string, one is traveling toward the right and the other toward the left. At the point that they occupy thz*a3q;5v nky8 vxve;w wpc,6s e same region of space at the same time

  Two wave pulses pass each other on a),k. g1nms g6y-g i 2;r0gtsxj2 vv57 wlwwqap 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 xwjgw),5lv2spq k g1a -wmt y0v;7g.2gr6 nsithey occupy the same region of space at the same time

  Resonance in a system, such as a string fixed at both ends, f7jgt 5fn xf*5occurs when

  If one doubles the tension in a violin string, the fundament;k )er/xtd 2qtal frequency of that strix) q tktdr2e/;ng will increase by a factor of

  What is the spring consta+9tckms;cs(/ hy hpv)e,hl6cnt of a spring that stretches 2.00 cm when a mass of 0.600 kg is suhccsh;e 6h /t( y)kpv+ ms,9clspended from it?

  A mass is attached to a spring of spring constant t1 fj7jgu5yl 160 N/m along a horizontal, frictionless surface. The spring is initially stretched by a force of 5.0utj y1gf7lj1 5 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 a sd c51 w,ohg fg9942likxwkw3long a horizontal, frictionless surface. The spring is initially stretched by a force of 5.0 N on the mass and let go. It takes thl9hsfxgkowwg 3c1w,i2k4 d95 e 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 constanur 0pp:m 5u3vjt 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 equilibrium positipuv5p 0j: m3ruon when it is oscillating. What is the frequency of oscillation?

  A mass on a spring undergoes SHM. It goes through 10 complete oscillations iqzp8 c h7qnvv7t1b;u :c7 erb)n 5.0 s.7ev7 c:h8p;u 1r)v nqbt qbz7c What is the period?

  A mass vibrates back and forth from the free end of an ideal sh*3.n rkr-li zlwl+.j pring of spring constant 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 equilibrium positionl-nk+lrhw. *. lzj3ir ?

  A 0.50-kg mass is attached to a spring of sprino1con9qt 8g di3 3v/pyk/evr ;g constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has ac/tokq9v inp33 o;e gryd/8v1 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 s6i)* ueer+hqgam8 d:cm. The energy is 8.0 J at this time. The mass is cut in half, and the system is again set in motion with amplitude desgi8*qrhm +e)u6a: 4.0 cm. What is the energy of the system now?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m along a )k1j4f4owdi) 3dz ogfhorizontal, 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 amplitude ofo 1z)fokigd)4j 4df w3 vibration?

  A 0.50-kg mass is attached to a spring of spring constant dt dmjqx*d52r 3pew /y;n 0)nk20 N/m along a horizontal, frictionless *w2qkrxdm ne;/3 pt)d05d nj ysurface. 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 att4ksnck2rc2:2iss/ac-t slb 3 ached to the end 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 mecn ks4:s/2kt2 3 c2rlbsica-s chanical energy of this system?

  A 2.0-kg mass is attached to the end of a horizontal spring of spring constu h .fa)oalvb /l31i.vm9qo;c ant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. W .ma uhiofoval;qv. c3lb1)/9hat is the total mechanical energy of this system?

  A mass vibrates back and forth ug *wb6m(o-k 4x/djwq ii 3rp64si6hpfrom the free end of an ideal spring of spring constant 20.0 N/m with an amplitud o4bwrhiwxi* mik4pd6gu( /6 6p3-sqje of 0.250 m. What is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring syst mna 0rghuk3l)i)9 3pb7mlz4iem 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 releirl4 m 393gub)kz0 np)la7imhased?

  A 4.0-kg object is attached to a spring of spring constant 10 N/m. The objd;d c;fj l*l-gect is displ*;;d-jlld cfg aced 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 constant 10 N/m. The object is/y oai9tpn0 7s disn t0p9 i/yso7aplaced 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 1up:2z l ..wydo8 N/m, displaced slightly from its equilibrium position, and released. What is the frequency of its vibration?p.lo y2u.:z wd

  A mass is attached to a spring.t1 e2qh/f)y mwf48s kldrb; 5zpk9p9w It oscillates at a frequency of 1.27 Hz when displaced a distance of 25bf2 zy 4wk1p wreql9kd tm8)s;p9h/f.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 with axr3*xr ddq; d5mplitude of 8.0 cm at a frequency of 10 Hz and mass B vibrates with5q *xr xdd;r3d 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 spri x04i/fcgeiu fq90;v nn9oe n6*tmwq ;ng. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled *460 0m fe;e9f9qtcg;innu/ xw voqni an additional distance 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 mass :8szn*6xoy fg stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and released from rest. fx8:ysg* z6 no Calculate the total energy of the system.

  A 0.30-kg mass is suspended on a spring. In ,za6y u.ggnf +e6,kvy 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 down its equationz6y.f,+e agv n, 6kygu of motion.

  An object in simple harmonic motio7xzx +o)9omhan obeys the following position versus time equaa7mox zx9+ h)otion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following position versus eov) 1of pb9(w xw7jb+time equation9)fpv bo( jx1wb+e ow7:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple -- m0,ejbf kobac :x1peiln6o xy+3d( harmonic motion obeys the following position versus time equation:i,b1+xe36- m oyf:dca x-ob 0nklpj(e
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the freez j7fxxlxt m57/x ov:4 end of a spring executes simple harmonic motion according to the equation l:xx47 vx7jz/fmxot 5 $y = 0.50 \; \sin (18\pi \times t)$ where y is in meters and t is seconds. What is the period of vibration?

A 1.5-kg mass attached to spring witj/t isetna8,mpf;.n 6h a force constant of 20.0 N/m oscillates on a horizontal, frictionless track. At t= 0, the mass is released from rest at x= 10.0 cm. (That is. pi fm;6ents na,/8tj, 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 frt0.xiz jjz2kl4 kf7)wx t+6egequency and period on Ea+gji7fzx z2j) 6k4.kt xelt0 wrth?

  A 3.00-kg pendulum is 28.84 m long. What isrti+p ,va( go/ tlst.0 its period on Earth?

  A pendulum has a period 6f3ehb6 qrtd4 +1je/q vv2rg eof 2.0 s on Earth. What is its length?

  The pendulum of a grandfather clock is 1.0 m long /3xq7tmr zu zy7l(ga+. What is its period on the Earth7x7 +gz/z(yrl3q tm au?

  The pendulum of a grandfather clock is 1.0 m long. What is its period on the Mox8*yux t0v bu-a4aw:kox ktbv8ax :a uw-4y0u*n where the acceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consistt;7 e sb-jz:z)y7x- 1v bftbtutox6o /03rxhfs of a 0.25-kg spherical mass attached to a massless string. When the mass is displaced slightly from its equilibrium positito7f 1/u0: sbyxvhx3-bb ozz) trtxe6;t j7-fon 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 angul,pm)zo9v4zwhn-fr ) m ar displacement of 8.0e. It oscillates with a )n zpfw- z9 o)r,mh4mvperiod 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 tim8 b+-u3vshl d8s ix4mbe. The frequency of the wave isbh 8xd ss liv+43b-8um 120 Hz. What is the amplitude?

  Figure 11-2 is a "snapshot" of a wave r.gi;l84/ wd ny;icd;rjlmo3 at a given time. The frequency of the wave is 120 Hz. What is they ;r/idmidn4r g;8lc.wjlo ;3 wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given time. The fre.mjm:l7cj:o uquency of the wave is 120 Hz. What iou.c:jm ljm: 7s the wave speed?

  What is the frequency of a wave which ha/ 3xe:miwqqan3 r:vj0s a period of 6.00 ms?

  What is the period of a wave with a frequency of 1500*.l3 vmkesr2 a n4oe8j Hz?

  What is the wave speed if a wave has a frequency of 12 Hz and a wavelength of 31z-fwz,3n ct*2 ikgbu.0 m?-fgizw,nu1k t2 *czb3

  What is the velocity of a wave that h/ ku;b*:qzru1/ n;v8myjl*guaj bd *qas a wavelength of 3.0 m and a frequency of 12 Hr u /gjuqvzuk*;;ja8d l/ybmb*1n*q: z?

  What is the frequency of acu.e6rjb y1 dyso8;t-iat(l, p2 j(vf 2.5 m wave traveling at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is under a tension of 1350 N. o m8kqd,*7apx What is thd 8oaxm*7p ,qke wave speed?

  A string of linear density 6.0 g/m ju6g ftjhf(gda,x c;q)h -vug4+9 2gois under a tension of 180 N. What is the velocity of propagation of transverse waves alo v()-gg;6xc h gjufq +4j2hfo9atug,dng the string?

A wave whose wavelength is 0.500 m is traveling down a 500 m lon xiye4*e5kc 4lx+c0qcf(vl. ug wire whose totv.qk0uc(+4c *ye4fx5l elc x ial 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 stri:mfzpny73s)a ng fixed at both ends is ap n):7y3mzf s200 m/s. Which one of the following is not a resonant frequency of this string?

  If a guitar string has a fundamental frequency of 500 Hz, which one of th bl*th(wki. 32 wjtr71d j7zdnji-t .me following frequencies can sez.rlhd- .kj7 t*t1m(2jjnbti 3wiw 7 dt the string into resonant vibration?

  A stretched string is obser;1toadlz7 y 5dpir/h1;kc)b( gl )xsfved to have four equal segments in a standing wave driven at a frequency of 480 Hz. What driving frequency will set l 1cply x5aib; gd1s(k )fzd7ht)ro; /up a standing wave with five equal segments?

  A string, fixed at both ends, vibrates at a frequency of 12 Hz with a st:i vfku f/4nf0n)a f9oanding transverse wave pattern containing 3 on f 9)nfa4/fufkv :i0loops. What frequency is needed if the standing wave pattern is to contain 4 loops?

  A string of linear densi sk 4fu+s kaqbu+;0hpdch)( u:ty 1.5 g/m is under a tension of 20 N. What should its length be if its fundamentald(kkb)a; qf++h:cu s u s4up0h resonance frequency is 220 Hz?

  Find the first three harmonics of a string of 4u7n:fgsxv(yk6)ur py,b4b /p u )dbb linear mass density 2.00 g/m and length 0.600 m when it ib pyf,:)n4 rdgub64b)(buu y kp/7xsv s subjected to tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. When the string vibratc 4)lvxe ioqy6w/1 c8ses at a frx s)ve6qi1cw8/ol y4c equency 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.