The time for one cycle ac pidk7m )3k4of a periodic process is called the

  For a periodic process, the number of cycles per unit time is call 1:buuggtb;*84wu s oeed the

  For vibrational moti 263wms; ii fan4hmvn7on, the maximum displacement from the equilibrium point is called tna i;27h ifv4m 3nswm6he

  A mass on a spring undergoes SHM. When the mass is at itsfbcri 6qdzz 3 3,e+oz3 maximum displacement from equilibrium, its instantaneo, zfe dq3 c36zb3o+zrius velocity

  A mass on a spring undergb v4magt/xxy2068koo oes SHM. When the mass passes through the equilibrium position, its instantaneous velocity2x8a6omx/yg0ok b v4t

  A mass on a spring undergoes SHM. When the mass is ao15q:lugw k6hxoth;exa2u8 ri,.7s h t maximum displacement from equilibrium, its instantaneous acceli uh 2gkxq.o:56lo;7 ax,euhht1 rs8 weration

  A mass is attached to a vertical spring and bobs up andg-a.xto4 wzo m95p nd0 down between points A and B. Where is the mass located when its kim.gnot - ap 04w9ozx5dnetic energy is a minimum?

  A mass is attached to a v0x+53 te- zyvcjbdki9ertical spring and bobs up and down between points A and B. Where is the mass located when its kinetc35 9 v+xzj ky0btdie-ic energy is a maximum?

  A mass is attached to a vertical spring and bobs up and down between pointz 6fis6 ;c)wchs A and B. Where isfsw6z h );icc6 the mass located when its potential energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down betw*xgezd9ce :h6u+rmp*wxf )0 s ecs/0 jeen points A and B. Where is the mass located whe0w 0c */rp9+6 csgshdmuxz fexj ):e*en its potential energy is a maximum?

  Doubling only the amplitude of a vibrati(6cpsesua xm68) p*h rng mass-and-spring system produces what effect on the cphs r8same )p*ux66(system's mechanical energy?

  Doubling only the mass of a vibrating mass-and-spring system produces what effecmusbz *xd+(4-iqub2jo 5 :hsxt on the system's mechanicao-s52*d qxzjx m:u4(hbs+ buil energy?

  Doubling only the spring constant of a vibrating mass-and-spring system proiw(34y 7 s(7ps+fs uzzrtg1f 1ly bqb,duces what effect on the (11i p gz(b 4st3fqfwub+,ys7rzy7s lsystem's mechanical energy?

  A mass oscillates on the end of a spring, both on Earth and on the Moon. Whgr5 hky:ha)2 5tix*zv ere ah 5x i*)zr: th2v5gkyis the period the greatest?

  Increasing the spring constant k of a mass-and-spring system causes what kind q*du tm83 c54:zfgpr oof change in the resonant frequency of the system? (Assume no change in t4 f mudoq3p:t z8*g5rche system's mass m.)

  Increasing the mass M of a mass-andm +7ztujv:ll*8; yaypdh 3-md-spring system causes what kind of change in the resonant frequency of theu3 *vymdldhj7+ -8 laz t:my;p system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system causes what kind of ch5m8 t r ; 2h2cvrye:py1yyna9jange in the resonant frequency of t :h8yp1y2 rm5yy9nevjcrt2;a he 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 weightfb-( y,x pruj9.: :n -ohg5sqlons6pxless string of length L. For this system, when undergoixl-:u( qx rys5j: sh-ppnnob9go . 6,fng small oscillations

  When the mass of a simple pendulum is trip8sx+.hp7sq : n vtzvl/led, the time required for one complete vibratiovst x+znq7p 8:/sv h.ln

  Both pendulum A and B are 3.0 m long. The period of A is T. Pendulum A is twicus d;orh*jayb;/a;/ z e as heavy as pendulum B. What is the period of Boy;r;a jsbdzh*/ /;ua?

  When the length of a simple pendulum is tripled,1m5noq1ihk0 j6/yqcyl6wz. d ma38g v0lys3t the time for one complete vibration in06l 1 hy3awm80c/q1. zlonm 5 3v6ytkisqdgjycreases by a factor of

  What happens to a simple pendulum's frequency if b6jz8 6(r53vrtpm ko :psh(wghoth its length and mass are in8s:5 m (3(zp6thprh kg6rjwvo creased?

  Simple pendulum A swings back and forth at twice the frequency of simple pendeyr-55ry s ev91v4. 1fvv vnkgulum B. Which st k4.g5 r v-vyvyes1v591vnerfatement is correct?

  If you take a given pendulum to the M4ugrgu 5w++gns4 ev p,oon, where the acceleration of gravity is less than on Earth, the resonant frequency ws+gr4neg5,4u up+gv of the pendulum will

  Curve A in Fig. 11-1 representic/klae3;: no0ja6tcx f 30ud s

  Curve B in Fig. 11-1 r jt x w-ezzo/77baq8,eepresents

  Curve C in Fig. 11-1 rnul(ojrvzo a( g:b n9jr9+3h:epresents

  For a forced vibration, the amplitude of vibration is fo *qg vh/xj1n e**enye7und to depend on the

  In a wave, the maximum z/gzw + tbb)d2displacement of points of the wave from equilibrium is called b+wgdtb/z 2z)the wave's

  The distance between successive c3r. hdi x++ci(1qmhhf rests on a wave is called the wave's

  The number of crests ofl n86ckkoh i/yt3 5(hj a wave passing a point per unit time is called the wave's3o8 h/ c(nkhi yt65lkj

  For a wave, the frequency timesz ,en89sqaxl)u1(1fr c kp4h v the wavelength is the wave's

  The frequency of a wave increases. nra,cf ul/l.v(id,/kp0x;+atwg7mc What happens to the distance between successive (rk+0c.vgw;a/ ,idf7ulcp a/m tnx ,lcrests if the speed remains constant?

  A wave moves on a string with zk*1s n:q5+s1aifoq xx 7nt v5wavelength l and frequency f. A second wave on the same string has wavelength 2l and travels with the same velocity.:5ts7 qxa1xni*1zsv5f n qk +o What is the frequency of the second wave?

  Consider a traveling wave on a string of r d 4kk 7s7rp.wre*uw;krm k/:length L, mass M, and tension T. A standing wave is set up. Whicwr r4/rud 7sk*;kkp .w7m ek:rh of the following is true?

  A string of mass m and length L is under tension 53*r(vmd(dlgiheq 7j)x zv 3 uz t29;ajobi .cT. The speed of a wave in the string 7z23l obdeij*vmx)c(a 9hr(g ziq;u3djtv 5 .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 length?

  A string of mass m and length L is under tension T. The speed of a wave in the4 i/xu.w/goy m z16xpz string iu px6wi m.og1 xy/z/4zs v. What will be the 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 wave in the yz (qz(g-rc9w ak,,nxstring is v. What wil- nycz,x ((rk z9qw,agl be the speed of a wave in the string if the tension is increased to 2T?

  In seismology, the S wave is a transverse wavek3w6*b ie/8g)0 nsmxy4 ow cov. As an S wave travels through the Earth, the relative motion between woo6 kbiw eyc3 /4vsmnx* 08g)the S wave and the particles is

  In seismology, the P wa-s;;;i8om raskrpn 8 gve is a longitudinal wave. As a P wave travels through the Earth, the relative motion between the P wave and the pa kss8rn; p;o-a8rgim;rticles is

  The intensity of a wave iw,n i,+n4q lcqv63gl3 kr f-efs

  A wave pulse traveling to the e znz/a3h(si 7uom/9tn8p0geright along a thin cord reaches a discontinuity where the rope becomes thicker and heavier. What is the orientation of the reflected and transmitted pulses?ee7ap8nzz/o/ 3 nm(u0tis9gh

  Two wave pulses with equal positive amplitudes pass each otherkcq(dt8 lunxtp n, oaf.f6o :t95p7 1t on a string, one is traveling towa k7oct9,5t1n:to .ftq udl(8pafpn6xrd the right and the other toward 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 3hlwzp8: kxeb 19l3 ejone traveling toward the right has a positive amplitude, while the one traveling toward the left has ahl b98z w3ljk1ee3 xp:n 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 fixg zv 5(is x.wv(ufrnd(w)2+m hed at both ends, occurs when

  If one doubles the tension in a vioabqv 2s8;nq q7wazhag3:.0tk lin string, the fundamental frequency of that string will increase by a fact2g va 8kh7qsb3;z0wq.an: aqtor of

  What is the spring constant of a spring that stret fu9drrz: zw408s 9lluches 2.00 cm when a mass of 0.600 kg is suspende9uwr4:sl z9uzrlfd08 d from it?

  A mass is attached to a spring of spring constant 60 N/m along a ho) xup2ac- 4,jhj9hujmc z e7. xwb16dhrizontal, 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 4a,9ch6uu.z h dpx j)mhcb27j1-w jxeequilibrium position when it is oscillating. What is the amplitude?

  A mass is attached to a spring of spring constant 60 N/m along zxttcd *(;f:u* w ms 7tv;xoy+a horizontal, frictionless surface. Thxuv( mstf+t x;d7:o c*;*yw tze 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 of spring constant 60 N/m alov8qv36n 3mrm jng 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 when6 j3nqm3m8vv r it is oscillating. What is the frequency of oscillation?

  A mass on a spring undergoes SHM. It goes thrfn 2jc+ u9yu2qough 10 complete oscillations in 5.0 s 9yu2uj2cq+f n. What is the period?

  A mass vibrates back and forth from the free eodch0t7ne l6 1nd of an ideal spring 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 pod7nh1lc oet 06sition?

  A 0.50-kg mass is attached w3/rg0jtw8hjr h7 of +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 m/s at the equiliwjf0+h 8oghwtrrj 3/ 7brium position. What is the total energy of the system?

  A mass undergoes SHM with amplitude of 4 cm. T1m n4hf2 x*zjbr b:*mze8wn;kba v4 q2he energy is 8.0 J at this time. The mass is cut in half, and the system is again set in motion with amplitude 4.qvm8 jbzmnzbe : bx;1 4wk22fn h*ra*40 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 0aybaa6i z;p+a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s at the equil paby+a6 a;zi0ibrium position. What is the amplitude of vibration?

  A 0.50-kg mass is attached to a spry dv;qs*ad26*u lgg5q ing of spring constant 20 N/m along a horizontal, frictionless surface. The object oy 2 ;qalg* *5gsud6qvdscillates 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 gp: gs:b8g-bnof 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 mechanical energy of this snggs:pb: -gb8ystem?

  A 2.0-kg mass is attached to the end ( s+c c0c r6ol e1,iojc(dub;jof 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 mechanical energy of this systecuo(rb(d;0ec1cj, oi6l sj c+m?

  A mass vibrates back and forth from the free end of an ideal ssu0o5 ss wzn98pring of spring cos 5s9uo w8n0zsnstant 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-spring system is displaced 10 cm from its equilibrium w:q- 8os5 afdc qcmr7+9av5 tmposition and released. A frequency of 4.0 Hz is observed. What frequency would be observed if the5 vm9a scd- faq5c8:wr+otm 7q mass had been displaced only 5.0 cm and then released?

  A 4.0-kg object is attached to a spring of sprinl+pci15rj n 4jg constant 10 N/m. The object is displ+i 4p clnrjj51aced 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 spriiaz jsqg.c9 8p3t:h(p. 4,nyc kp3ew eng of spring constant 10 N/m. The object is y3ejg.t n e ap:qi,39.8p(c zp4skcwh 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, displaced slightnp (g8/ n1rco9j,tgpuly from its equilibrium position, and released. What is the frequency of its v ,89 /(pnpggjncto1 uribration?

  A mass is attached to a spring. It oscillates at a frequenhzpb+h6/cv w6p (t f-7pka ;ghcy of 1.27 Hz when displacp6fva ;6+zphc(b-whg7t/h p ked a distance of 2.0 cm from equilibrium and released. What is the maximum velocity attained by the mass?

  Two masses, A and B, m/y6gtg/ q,mxxr4:yu are attached to different springs. Mass A vibrates with amplitude of 8.0 cm at a frequency of 10 Hz and mass B vibrates with amplitude of 5.0 cm at a frequency of y qxtx/uryg:m 4/m,g6 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 stretcdvo;y sa. mhsp-qsg:k q89 usnsu.6(/hes 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 oscuqnh6gokss.: ;/8.u vm9a ssy s dp(q-illation.

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass e /gi j4ua;no h 2u8wq-5ih5pa) pbkd9stretches the spring 2.0 cm downward. The mass is u9ie2)onb4j 5pdp5 hha/qgkw a8;-u ithen pulled an additional distance of 1.0 cm down and released from rest. Calculate the total energy of the system.

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass strhy ad).7- mgsmjz2r*u etches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and reld .*g)sh2jmu- r7 yazmeased from rest. Write down its equation of motion.

  An object in simple harmonic motion obeys the following position versup,ae4e6c h;1n kimc v9s time equatioe1ncp 9;e6, kcvamh i4n:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following position versus time equ-2 :tdjouy(f eat :euyf(doj- 2tion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following positioohxph 66q;i 3o9lgc.rn versus time equhr; xlh3op.6 cqo g69iation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a springzm tft0c*wr cn7sgq am*.a)** executes simple harmonic motion according to the equat0mc*q gtr7a**.n*fmz wstc)aion $y = 0.50 \; \sin (18\pi \times t)$ 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 of 20.0 N/m oscilkjs0hlxo7o3w / 2)gbbvg*y k 9lates on a horizontal, frictionless track. At t= 0, the mass is released from rest at x= 10.0 cm. (That is, the spring is stretched by 1xokky*9w jvgsgl 7 3 0)2h/bob0.00 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 completj,5u .og:7eh5hf- ppwtis fd/e swings in 8.0 s. (a) What are its frequency and period on h-tu/h5iwgfde op fj5: . s7p,Earth?

  A 3.00-kg pendulum is 28.84 m long. Whaz82oof -ae3+nt5ju8m miuuz.aw * b k)t is its period on Earth?

  A pendulum has a period of 2.0 s8(t-s yc)orrb a 9mg ver4.gw6 on Earth. What is its length?

  The pendulum of a grandfather clock is 1.0 lp03/e0 abm5v8w j 8jalpn,alm long. What is its period on the Ea0lvnl 80elp 58j,a/w 3j ambaprth?

  The pendulum of a grandfather clock is 1.0 m long. What is its period 1 -4ay cdbo3cftmzs7, on the Moon where the acceleration due to gravity isatmsy4d-bcf7z ,c3o1 only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attached c2,4z mw51yr7b3/ iaecvw air*7kshyto a massless string. When the mass is displaced slightly from its equilibrium position and releacik ae5/7asczy1w2b v3 hiwr*y7,r4 msed, 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 ix6o(5h 4yw /srfdouu.nitial angular displacement of 8.0e. 5sod. (/x u4wr y6fohu It 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" of a wave at a given timecj( 4s,5 gdwth02l ohjie8+a9j ksehz)-kd d1. The frequency of the wave is 120 Hz. What is the amplitude8chg9j h)t(s0w+2jkjoade4dhd ke - l51,s iz?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency of thacta lgo, cl; ) -*kojry7 .g+r2xp)gae wave is 120 Hz. What is the t*+la)) -ca ,ggjac op2xyro k;7rl .gwavelength?

  Figure 11-2 is a "snapshot" of a wave at a givgtl23 +ptau4 uen time. The frequency of the wave is 120t t24pua3+lug Hz. What is the wave speed?

  What is the frequency of a wave 5c++og smzy34lr7 mbh which has a period of 6.00 ms?

  What is the period of a wi2 d3m12c8uaqeh wmwf f ux5p 2;r-n.tave with a frequency of 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz and a wavelength of 30or ngzou6y m4gd6..g .0 on.yod.046m6gzgugrm?

  What is the velocity of a wave that has a wavel **5qmptfvp 9iength of 3.0 m and a frequency of 12 f5p** 9qvitmpHz?

  What is the frequency of a 2.5 m wave 7hkg clol/t3lz+ r ;b)traveling at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is under x9nj;*u *us n+hol/8f:hcbjn a tension of 1350 N. l*h 8cs+u:n uf/n*;nj9 xj ohbWhat is the wave speed?

  A string of linear density 6.0 g/m is underb qxf ip jk3kn(1zee*29b0a4q a tension of 180 N. What is the velocity of propagationn 9p *b(24z 0aq qfje3kkieb1x of transverse waves along the string?

A wave whose wavelength is 0.500 m is traveling down a 500 m long wire whos9*go6 t:lx wzx-8nqf ngm7iz(e totall89x tgognmx: f zqwz*n7i6(- 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 ljly ce tgp.o03pkk+8 t:z, i;wong string fixed at both ends is 200 m/s. Which one of theci j;plk,y0z . :t o8kptwg+e3 following is not a resonant frequency of this string?

  If a guitar string has a fundamental frequency of 500 Hz, whichv+ i/p/toa0n b7ee4gr one of the following frequencies can set the string into resonant vibratn/eep rovb0+/g47it a ion?

  A stretched string is observed to have four equal wd xda. l+5o8osegments in a standing wave driven at a frequency of 480 Hz. What driving frequency will set up a standing wave with five xowoa8+ ld5 d.equal segments?

  A string, fixed at both ends, vibrates at y6rn8njm -hj)se lzec4)dnj ,:eg9:e a frequency of 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency is needed if the s4gn9jee)jn s lm:86r y)dnzc:he,j e-tanding wave pattern is to contain 4 loops?

  A string of linear density 1.5 g/m is under a tension of 20 N. Wha) -f 6dhzpluq+:;gzect should its length be if its fundamental rh;fd l:p-)q gu6z ze+cesonance frequency is 220 Hz?

  Find the first three harmonics of a string of linear mass density 2.00 g xjyfdt09 y7o yh61)fa/m and length 0.600 m when it is subjected to t096 fdayfxy17ot jyh) ension of 50.0 N.

A string of length 2.5 m is fixed at both ends. Whirl6*g vqnj2h :7 75:lv ty .q*ra,js8nbpbynen the string vibrates at a frequency of 85 Hz, a standing wave with five loops iq*2.vrn7jlp*tbjy8n7r hsi5aybq: 6 g vn:l,s 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.