The time for one cycle of a periodic process is called the k1/8w3 4h(zbo cep:-tyvcb rp

  For a periodic process, the number of cycles per unvf.bs x/w9ol6it time is called the

  For vibrational motion, the maximum displacement from the equilibrium point ih *tiwhl(5: w8)pirbk s callel8bkth* (w:r)hi5i wpd the

  A mass on a spring undergoes SHM. When the mass is at its maximumk*cg u l-vn4vt.y,6f ga 9kp7j displacement from equilibr,kgatp6.*jfungl7v9 v -cky4 ium, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass pp81tzlzf khx : r97-jiasses through the equilibrium position, its insti8xp:t9l- 1zkzhrf j 7antaneous velocity

  A mass on a spring undergoeno6;h8i sbf3cs SHM. When the mass is at maximum displacement from equilibrium, its instantaneous fh6bn8c os 3i;acceleration

  A mass is attached to a vertical cl)npgh bwl5u 8sc*-6u ag1n i86rrt-spring and bobs up and down between points A and B. Where is the mass located whel-in86r c-ul)w c pa r81b5s6*hgntgun its kinetic energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down betwk0ct+3*pzq0nuvybw cs-0av--gni m ,een points A and B. Where is the mass located when its kinetic energ3 a m0-*--w0cq0iyptv,nv sc+knb u zgy is a maximum?

  A mass is attached t a5r,ospf( m gu/*xs-zo a vertical spring and bobs up and down between points A and B. Where is the mass located when* zof/,g( s5p umaxrs- its potential energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down between poil( emqstii(9z6p 4y j6nts A and B. Where is the mass located when its potentzt (ji 9ly6isem64p(qial energy is a maximum?

  Doubling only the amo +nx,jpfqnsg(+3-bs d uokrl/c8m 4 :plitude of a vibrating mass-and-spring system produces what ef fors4 :g+/8 p-,(njcnlbm3 duxoqk +sfect on the system's mechanical energy?

  Doubling only the mass of a vibrating mass-and-springvuwlu 10 0 dx5t6-pydsh13o iw system produces what effect on the system's mechuw lous1 - xw01t5d6 0yvip3hdanical energy?

  Doubling only the spring constant of a vibrating mass-and-spring system prod /erb l.jn.l(a8h as.xuces w.aan(hbjl .esx/.rl 8 hat effect on the system's mechanical energy?

  A mass oscillates on the end of a spring, both on Earth and on the Moon.yzn gn 80mb :dv-1-tb4rdl y-y Where i tdy-gyryndlnm-z b841 b:v-0s the period the greatest?

  Increasing the spring constant k of a mass-and-spring system 9/0ctbce-mwe w npprf( v7u 6/causes what kind of change in the resonant frequency of tewp0 uc(69pem7- bf n/ vw/crthe system? (Assume no change in the system's mass m.)

  Increasing the mass M ofrdpxbr49oou0y v;*qcgrw5 /4 a mass-and-spring system causes what kind of change in qc5b9*v pwuxr;y0 oo4grdr/4 the resonant frequency of the system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-qm k;51 w7xhoep jf18nand-spring system causes what kind of change in the resonant frequency of the system? (Assume no o8w kn;h j1m1o 5xepqf7ther 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 mzor3jt ig(/y9h/addh: -alnwd9 6k/y ass M attached to a weightless string of length L. For this system, when undergoing smahr-ydz/to g jy(/n 39kiwd6ad :/hal 9ll oscillations

  When the mass of a simple pendulum is tripled, the time requif0r 4ym6tda 8cred for one complete tm 8a6rcd0f4y vibration

  Both pendulum A and B are 3.0 m long. The period of A is T. Pendulum A is -rh vo*iop1g4 twice as heavy as pendulum B. What is the per 41*iohog r-pviod of B?

  When the length of a simple pendulum is tripled, 32 cnyxiw0xc 2the time for one complete vibration increases by a factxn03yccw i22 xor of

  What happens to a simple pendulum's frequencnda x,/n a zyshx8c25,y if both its length and mass are increasxhy 8 na ,axcn/s2d,5zed?

  Simple pendulum A swings back and forth at twice the frequency o)81iw0 a qx(7na4s f9zhy fjsmf simple pendulum B. Which s w fax7yh81a snq()ji9s 0mf4ztatement is correct?

  If you take a given pendulum to the Moon, where the acueg;,9p tyv7x ano9qs*- g5ekceleration of gravity is less than on Earth, the resonant frequency of the pendukust pnv9gy7,g 5 x oqe9e*;a-lum will

  Curve A in Fig. 11-1 represents+hyi2ktyws- *

  Curve B in Fig. 11-1 represymze1c 0 l--7fy lxw5xents

  Curve C in Fig. 11-1 represe ie (41fzy u9;ic-knhmnts

  For a forced vibration, the amplitude of vibration is foun76t- kpvul y*md to depend on the

  In a wave, the maximumfj99vrg)d rxpz 93ep6 displacement of points of the wave from equilibrium is called the wav9zp)9xjfrvdrp36 e 9ge's

  The distance between successive crests on a wave is calle 7t 17qsqkp(ktd the wave's

  The number of crests of a wave passing a point perl lf*a.z / wgs,1n4qkk unit time is called the wave',kw.qksza/g *n lf4l1s

  For a wave, the frequency times4/l vmog:-dyn cz)hm 8 the wavelength is the wave's

  The frequency of a wave int f to z wt-ziw4l*)7n;rq5*crcreases. What happens to the distance between successive crests ifw* t tfrtr-)zoc7;nwl5z i*4 q the speed remains constant?

  A wave moves on a string with wavelength l and frequency f. A;qpjuy /*cl1x second wave on the same string has wavelength 2l and travels wi*;xl q yucjp/1th the same velocity. What is the frequency of the second wave?

  Consider a traveling wave on a string of length L, mass M.0 6sa9a tpvlsf p;g+,zpmv:k , and tension T. A standing wave is set up. Which of the following is true?f vtsplz:0m6v9k; ,ap.+pags

  A string of mass m and length L is under tension ddir sz6ks4*m) k0 1t lh+l*ofT. The speed of a wave in the string is v. What will be them1fl krzl*ks* +i06 4hotds)d 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 *xhv+ky. cub;:t t2invjh5 :mof a wave in the string is v. What will be the speed of a wave in the strih:vnc htk:y2xuv ;.b*mj i5 +tng if the length is increased to 2L, with no change in mass?

  A string of mass m an gcjh2+w5x+9g(gw cf yd length 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 string if the tension is increas2 j(wgy 9wxh++5fcgc ged to 2T?

  In seismology, the S wave is a transv.sk* snyg0 pvu56x e5perse wave. As an S wave travels through the Earth, the relativ ne 5 vgp5yps0s.u6*xke motion between the S wave and the particles is

  In seismology, the P wave is a longitudinal wave. As a P wave travels thro fqb):lx4cn z8(jq+ko ugh the Earth, the relative motion betweenjlkx +c :b()4qq8ofnz the P wave and the particles is

  The intensity of a w7-o-8fru --) 3od: fm 7vlgkev nylavqave is

  A wave pulse traveling to the right along a thin cord reaches a discontdvi*2hs0u0ofl5k e 1 oinuity where the rope becomes thicker and heavier. What is the orientation of th isf 00 eh1o5o2*dlkvue reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each other on ah z-0k8 az)wa r:6o96m jplsjv string, one is traveling toward the right and the other toward the left. At the point that they occupy the same region of space at the same thk6l:z-pw z60v )8sa jarjm9o ime

  Two wave pulses pass each other on a string. The one traveling toward the rigylz7j wz+ g3 i .lky(u:rrs(tsj9(ih(ht has a positive amplitude, while the (w :+y sti hljrz.jk( r(3ysli 7zug9(one traveling toward 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 aq3kob4wxh xbr.8 jn.,t both ends, occurs when

  If one doubles the tension in a violin d vsfz:4q9o.d string, the fundamental frequency of that stro4dfv dz9:.sq ing will increase by a factor of

  What is the spring constagpldq( 9jrs lb.t28j4t p.b/gnt of a spring that stretches 2.00 cm when a mass of 0.6 (9 8.lbg ps.djjtbp2/ lgr4tq00 kg is suspended from it?

  A mass is attached to a spring of spring constant 60 N/m along a horizontal, fret urf5wn7p8g9xt + ,i+jr/j, mgl xu/ictionless surface. The spring is initially stretched b8 e5jfrgx+ m9i+/n,rxu/tugp7t ,w jl y 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 :qprsmxafr )x*us/*3dw/+n u of spring constant 60 N/m along a horizontal, frictionless surface. The spring is initially stretched by a forcnd//m sas3pxx)*u*:ruq +rw fe 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 of spring constant 60 N/8ei o1yy6+ nfyp.gil4v4hbs2m 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 position when it is oscillating. What is the fri +.nyibso efpv21gyy84 4hl6equency of oscillation?

  A mass on a spring undergoes SHM. It goes through 10 complete o g j 0xz/bz4yv2-,,am.;ia bkj3 lmzfcscillations in 5.0 s. What i/bacabi,z;yl3, fz k420-j jzvmx gm.s the period?

  A mass vibrates back and forth from theco4 0 e-vna72b3l i 4npdr2azo free end of an ideal spring of spring consn7 aro-3vb ei 4422ldz napc0otant 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 position?

  A 0.50-kg mass is attd- zeqz;huxz/i3j-wj2rpz* e/n 4 f0( l0avleached to a spring of spring constant 20 N/m along a horizontal,/ l 4d0(r*jzjx 2w -lihzae0f/ z;penzqev- u3 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 energy of the system?

  A mass undergoes SHM witjrbc7 5wm0m b1ts97pqmgqe: +,rgj)j h amplitude of 4 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 abgrrj s7,mmj9)jm qqcp5bew:0+1gt 7mplitude 4.0 cm. What is the energy of the system now?

  A 0.50-kg mass is attached pq) o4uy67d txto 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 m/s at the equilibrium position. What is the amplitude of vxdyo7q6) 4tpu ibration?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m alpuoa ftkyc.mt0)1* p;ong 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 t *uppof0.m;)y1ca k tenergy and the potential energy the same?

  A 2.0-kg mass is attached to the end of a horizontal spring of spring constantixitd wh91cvx2z-dy 3v3:j6 e 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the total mechanical ene9vti:x3 i1v3dyex zw6 h c-2djrgy of this system?

  A 2.0-kg mass is attached to the end of a horizontn5u-4o9 ak p ztr/s1wval spring of spring constant 50 N/m and set intosv54 p/waotr nkz9-1u simple harmonic 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 spring cov+6 hkw/ ods mj jk 9swoq64hfu8f.0k8nstant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kinetic ene6o8 h +8kqdhwkj0 .9msvu6fos4k/ fwjrgy of this vibrating mass?

  The mass of a mass-and-spring system is displace5g kacb99+d4em ath:sd 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 re9+ : hdeas54tkm 9gacbleased?

  A 4.0-kg object is attached to a spring of spring constant 10 N/m. Ted*9r/*1o vua crd-vd he object is disp1/oev**vr d -adrud 9claced 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 cj9qylzl fx62 ;onstant 10 N/m. The object is;jz6l9y l2x qf displaced 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, dis xn)d/vs6)5cc 3l ljnlplaced slightly from its equilibrium posi5djll 6nvcc)x)/l3 sn tion, and released. What is the frequency of its vibration?

  A mass is attached to a spring. l*w)7(r+wnwil o 2j8u kvx s9vIt oscillates at a frequency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released+o29u7 vxlwijwrn(v sw *kl)8. What is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to different springs.qpbi 3kl+1 y/e Mass A vibrates with amplitude of 8.0 cm at a frequency of 10 Hz and mass B vp1y+ikleqb /3ibrates 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 equilibriu cdt gth9wl9ss8 z05tr b6i,v1m the mass stretches the spring 2.0 cm downward. The mass is then pulled an adtc019d8,gtz ws9tli sb6hvr5 ditional 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 stret 1g +ro)go)swvx6h7k /fwef0l ) 4encxches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and released from reselxg 47onehogw rw+)cfs 0 xkv61)) /ft. Calculate the total energy of the system.

  A 0.30-kg mass is suspended on a spring. In equi/nt swhn1o qp /uvf(),librium the mass stretches the spring 2.0 cm downwau w)ntnpv/ h1osq/,(frd. 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 ha2azrl c9a ;d1xpn2 ae1rmonic motion obeys the following position versus time equatioe x;1a229 zda1c nalprn:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic -e2wszi9u- fhg7j*p;1wi u dqmotion obeys the following position versus time equatg2du9jhzi1 ; *-pf 7wiu seqw-ion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion oomnm:o ls5yg+ctzk( d:us6 q*o41cc 0beys the following position versus time equatu6m0:1sz* :ktog c+socm5 4cd yln( oqion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes six06jiq m1mal+ 99l3:(ai rrr.nwa sfemple harmonic motion according to the equs693 lm:e a +q9x(arjri.1wnil rmaf0ation $y = 0.50 \; \sin (18\pi \times t)$ where y is in meters and t is seconds. What is the period of vibration?

A 1.5-kg mass attached to spring withppjpi0:k.j(e 2 vw:he a force constant of 20.0 N/m oscillates on a horizontal, frictionless track. At t= 0, the mass is released2p 0:.:ppew vekjji(h 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 itttt.(upl) xgs f65n;qi.0 0wbt9ujmis frequency and period on Eartxtlfmt 5 jpqb. (t;0.6iutguiw0n s9)h?

  A 3.00-kg pendulum is 28.84 m long. What is its periodh- mv 2*ca9 8a88k wash8ivorh on Earth?

  A pendulum has a period of 2.0 s on Earth. What is its le1ns2(2 jy uqgength?

  The pendulum of a grandfather clock is 1.0 m long. l, db)0zcktw7 What is its period on the Eartkcdb)z7t 0 l,wh?

  The pendulum of a grandfather clock is 1.0 m lonripc dtr26 d99s )1jzgos;t(dg. What is its period on the Moon where the acceleration due to gravity i9igocrjs2 dds( rt)tp61z;9 ds only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0. gx*w9l2elo tnwh9. . bmj8y2naevf(5 9 zpzw025-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) h0ebj(zwhlvazf9 .oxn5 wnpw.2t9y*eg2 8 lm9ad been attached to the string instead?

A simple pendulum consisting of a 20-g mass has initial angular displacemejj7uzeb(j g3 :nt of 8.0e. It oscillatj7 jz:ubg 3(jees 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 atd ra4da3mv+ h7 a given time. The frequency of the wave is 120 Hz. What is the amp +7 h3vad4mardlitude?

  Figure 11-2 is a "snapshot" of a wave at a gwvs2j9h79qh qiven time. The frequency of the wave is 120 Hz. Whatw9sqh2vhj 97 q is the wavelength?

  Figure 11-2 is a "snapshot" of s (rh*v61m 9ulncc a)aa wave at a given time. The frequency of the wave is 120 Hz. What is the wrn)1amua*6hccv 9s l (ave speed?

  What is the frequency of a wdv,85x-:lmtjag li 9 cave which has a period of 6.00 ms?

  What is the period of a wave with a frequenc8ql(xn wv-n : 7di4afyy of 1500 Hz?

  What is the wave speed if a wave has a frequency fxl*xilvss /q1xc3f f678yfl. 0( wjbof 12 Hz and a wavelength of 3.0 m?fxw7 /lb jsix 1vx60f3yc flfs. (*8ql

  What is the velocity of a wave that has a wavelength of 3.0 m and a fp v g)jt.r2py4requency of 12 Hz?vtj4.2rgp py)

  What is the frequency of a 2.5 m wave traveling at 1400bdn 15bw tx1qr:flyr( 8:ndp , m/s?

  A piano string of linear masss (cbc .,l/p4*ey vvcy density 0.0050 kg/m is under a tension of 1350 N. Why*(c 4sc cbl/v.,pvy eat is the wave speed?

  A string of linear density gpeqw+i6 (vu- 6.0 g/m is under a tension of 180 N. What is the velocity of propagation of transvw6u( -+iqp egverse waves along the string?

A wave whose waveleng y89l)i a scipd,+,r8fqfu+khth is 0.500 m is traveling down a 500 m long wire whose total ma+ iydf9q,us, a+88klh fp)icrss 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 propagationucl9 .a( h*ilx thk)wd3-d:jk of a transverse wave on a 2.0-m long string fixed at both ends is 20 wt )- 9lu d3kch:*xhld(k.jai0 m/s. Which one of the following is not a resonant frequency of this string?

  If a guitar string has abimwz4hj,scwjj:, *7 x7gu 5o fundamental frequency of 500 Hz, which one of the following frequencies can set the string into resonant vibratjxwj,m, s w b54coh7gj:iz*7uion?

  A stretched string is observed to have fk+ q6 j7kdyyz;our equal segments in a standing wave driven at a frequency of 480 Hz. What driving freque6y7kdjz q;+yk ncy will set up a standing wave with five equal segments?

  A string, fixed at both ena)6yhmv)p( +h()ct fgz2k vpzds, vibrates at a frequency of 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency is needed if the standing wave pattern)k p(h azt))hvzpfgmc yv +26( is to contain 4 loops?

  A string of linear dvr4z;xf w2i1: prl0 yyensity 1.5 g/m is under a tension of 20 N. What should its length be if its fundamental resorzf2piwyx4 r0yl :1;vnance frequency is 220 Hz?

  Find the first three harmonics of a string of linear mass densi;s;4 kmzndn3ps7i i/ uty 2.00 g/m and length 0.600 m whenis;k7dpnin ;4ms /u3 z it is subjected to tension of 50.0 N.

A string of length 2.5 m is fixed at both ends.o- 85za p v1)+rikalws When the string vibrates at a f+a s51o-i lk)va8pw rzrequency 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.