The time for one cycle of a periodic process iscjveipxy1**9v dl -4z,iy5jh called the

  For a periodic process, the number of cycles per unit tim/kw0r vae;:oke is called the

  For vibrational motion, the maxi.j(1kjwe d3n eyew8/omum displacement from the equilibrium point is called. 8j(j3oek wy1d/wene the

  A mass on a spring undergoes SHM. 49hs,8 i8**xg8-+si s r7 ocdm)rpxpvoa efijWhen the mass is at its maximum displacement from equilibrium, its instantaneous velocix *sra88e-x4vjh smoo9*irs ii+ )d c7pp,gf8ty

  A mass on a spring undergoes SHM. When the mass passes th*jiy q g6j5d3prough the equilibrium position, its instantaneous velocity5q6 jdp*3yijg

  A mass on a spring un8a0:rnk5 yz xkdergoes SHM. When the mass is at maximum displacement from eqx0:ky z5rka n8uilibrium, its instantaneous acceleration

  A mass is attached to a vertical st o6luz5 8 g)q59lqhnlpring and bobs up and down between points A and B. Whhqz u 5nq)o6gtl8l59 lere is the mass located when its kinetic energy is a minimum?

  A mass is attached to a vertical spring and bobs up anylv8 bv- fqx8c9bh j26psyi 10d down between points A and B. Where is the mass locihl 1bp9v f-jyc02x8v8q6ybsated when its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs r 3kjdriqv3*(s3tq; w up and down between points A and B. Where is the mass located when its potential energy is a minimuqj;33trr* q si kd(3wvm?

  A mass is attached to a vertical spring and bobs up andbhs1l0qi, -fo down between points A and B. Where is the mass located when its potential energy hi0lq,1ob-fsis a maximum?

  Doubling only the amplitude of a vibrating mass-and-spring s uzl0 n3tk7ny3ystem produces what effect on the system's un0ky73z tl3n mechanical energy?

  Doubling only the mass of a vibratiw, xj b+cla(u7ng mass-and-spring system produces what effec7+ ajxc(ulw ,bt on the system's mechanical energy?

  Doubling only the spring constant of a vibrating mass-and-spring bbz/j-v g,u lgwk6g:nduu7 5a,5b *v ksystem produces w kkg-zbl ag*dbg65juu,,w un5 v/:b7 vhat effect on the system's mechanical energy?

  A mass oscillates on the end of a spring, both on Earth anda fjx +6s k6 ki3w,csm(d61ybb on the Moon. Where is the period the y,b6( +m ka6wcssik b djf3x61greatest?

  Increasing the spring constant k h: divjvjf: o2 fr702qof a mass-and-spring system causes what kind of change in the 2v:2q j7jfi0vo: rf hdresonant frequency of the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-0s7qod1l+lhz x(jghxy1 ly +/and-spring system causes what kind of change in the resonant frequencyo(+ls y x/+1llqzj xdyg0h17 h of the system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-sprip+b fy0o;1gxx- qcuy* ng system causes what kind of change in the resonant frequency of the system? (Assume no ot*+gx01 q;-uyxy fbcopher 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 l-8v ,e/ )qmi jh+)bd:b ubbkmmass M attached to a weightless string of length L. For this s/uvj)qblb+ dbb,-immke8: )h ystem, when undergoing small oscillations

  When the mass of a simple pendulum is tripled, the time requiredqwq 8pd()c79vuubm2t tk ; k ,mug29fr for one complet;um 8qdktukwmc2 2)g rpv ftb9uq(97 ,e vibration

  Both pendulum A and B are 3.0 m long. The peri. *bces yw-(lmod of A is T. Pendulum A is twice as heavy as pendulum B. What is the period of Blb- .yc(me ws*?

  When the length of a fwc0-gwd7cy 0 simple pendulum is tripled, the time for one complete vibration increases by a wdcg-0cwf y07 factor of

  What happens to a simple pendulum's frequen*z61cdh h8vdo cy if both its length and mass are incre1ho h86*dcz dvased?

  Simple pendulum A swings back and forth at twice the frequency w r jun;u8)0snof simple pendulum B. Whi rws0u)u nn8j;ch statement is correct?

  If you take a given pendulum to the Mooxbi) dfz7,bd 7iw: e .o8n2ajhn, where the acceleration of gravity is less than on Earth, the resonant frequenb wnd) z.i je7hxibd8o:2f7,acy of the pendulum will

  Curve A in Fig. 11-1 reprea;amfkrc )o; u22s*f yrl7 7zvsents

  Curve B in Fig. 11-1 represec4ys hx;:s0 h5+jrz rhnts

  Curve C in Fig. 11-1 represe+ 3huj3a-mk 8qtjo4fb nts

  For a forced vibration, the amplitcw+ 1v-c ztrw7ude of vibration is found to depend on the

  In a wave, the maximum displacement of points of the hc1(dratp2(t s p: a;pwave from equilibrium is called the wave's:p ;th1aspc(art2p d(

  The distance between successive crests on a wave is called tlt(k-k/ qj nd+v79cwgd+2tqghe wave's

  The number of crests of a wave passing a point per unit time is called thh-:zuk)muive :iq- f 8c;mk5 ke wave'c:kkqu-;ui f8h v:5mki)- zmes

  For a wave, the frequency times the wavelemh (-t0v *vow))9 zqhrxxe(mength is the wave's

  The frequency of a wavel-7 z q4(lrlz6ip+ -m taj+mjf increases. What happens to the distance between successive crests if the speed r 7 litjljl (m+p 4-+mzf-ra6zqemains constant?

  A wave moves on a string with wavelength l and frequency f.7+jra 40z1 /pw ahpgxc A second wave on the same string has wavelength 2l and azjacgprp4 +x 1h/w70travels with the same velocity. What is the frequency of the second wave?

  Consider a traveling wave on a string of le 16:by;l okf 8c4kxx3p ittg,lngth L, mass M, and tension T. A standing wave is set up. Whicltk8cy txkb: lp41fi 3;6g ox,h of the following is true?

  A string of mass m and length Lh dn zl3na/;/g is under tension T. The speed of a wave in the stri an/ndlgh3;/z ng 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 thvb b 0cv*3e+a,ymmz 3xe string is v. What will be the speed of a wave ivyxmva 30 +zm *,becb3n the string if the length is increased to 2L, with no change in mass?

  A string of mass m a6+ fme//bgvd x6,)4wx drptsi nd 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 tensio gtbp,/r/x me4w+dv i6fd s6x)n is increased to 2T?

  In seismology, the S wave is 5 ctw 2( 4vh:mug 5hwyhqbc8u5p9yco2 a transverse wave. As an S wave travels through the Earth,92mcwow 2pb8chygyh: 5cu5 uhqt(v45 the relative motion between the S wave and the particles is

  In seismology, the P wave is a lo9/ c-. swt:lrtlm032v xtcy hengitudinal wave. As a P wave travels through the Earth, the relative motion between the P wav cr.l9mhwxt2svl y- t:tc0 3e/e and the particles is

  The intensity of a wave iszkv/* tuq6u7t*tmh f7

  A wave pulse traveling to the right along a thin corl,8mp jhy +,q +-kzjgqvd29as d reaches a discontinuity where the rope becom2gv8, sp mq-yz+,lkhjd+a9 qj es thicker and heavier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each other on a string, one9yxtn ;p : ;wr2c)edf82idmyf: v+d t,5kv bsz is traveling toward the right and the other toward the left. At the point that they occupy bt2;fmcv85d)ysep;ndw::f ,vd9t k z+ xyi2rthe same region of space at the same time

  Two wave pulses pass each other on a string. The one traveling toward2z(4kdf b8w.s.mb adt the right has a positive amplitude, while the one traveling toward the left has an equal amplitude in the negative directiosd 8b24bft( m.a zkd.wn. At the point that they occupy the same region of space at the same time

  Resonance in a system, such as a stringpv w/ ,q pmez/:ngqw b38ry0s1 fixed at both ends, occurs when

  If one doubles the tension in a violin stm+n4;sbu ide +ring, the fundamental frequency of that string will increas+nedm; s4i+ ube by a factor of

  What is the spring ca2vr/ fmeb,5r onstant of a spring that stretches 2.00 cm when a mass of 0.600 kg is suspe 2r/av,fmr5 ebnded from it?

  A mass is attached to a spring of spring constant 60 N/m along a hor 8vc orj+ev.5iw q19xeizontal, frictionless surface. The spring is initially stretched by a force of 5.0 N on the mass and let go. It takes the massrj o.98e5qew x1 v+ivc 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 .:xktii,blfb * 6 9itua 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 period of oscillatbutxk*t fii l,i.9b:6 ion?

  A mass is attached to ayt)oik6 n3 u)5.vz kpc spring of spring constant 60 N/m along a horizontal, frictionless surface. The spring is initially stretched by acti3p56kk.n) )v u oyz 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 go8w l 4zwi2,dgmes through 10 complete oscillations in 5.0 s. Whwid g82z4ml, wat is the period?

  A mass vibrates back and forth from the free end ou ctus8 ,a3vt9f 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 itsv,uts3u ct a98 equilibrium position?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m along a s+2u lbpko9cousbsmom.4 .46 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 total energy 2k msb s.muo 94os6b.plc4o+u of the system?

  A mass undergoes SHM*a3tfdgdmvg: g-rivacv zm1/wu,: 65 with 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 wit gwv :1a g/i-m,mda3cdfu: zt*g5rv6vh amplitude 4.0 cm. What is the energy of the system now?

  A 0.50-kg mass is attached to a spring of spring constag/q-o 3v+mf 6tb4dj 2lno :hznnt 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a+bodn /jmt-:v3oz46 qnf2ghl 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 a+7nige ;bn5 *jq6 -yvjdzpid o;ftp,8long a horizontal, frictionless surface. The object oscillntjig*75;d pp86i b;e,fnj-yvdzo +qates 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 oft5apw1hs kym51xk; 3b a horizontal spring of spring constant 50 N/b 55wpx31sk;kt a1h ymm and 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 sjmy vbg4 1j2sw 2yos:6pring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10j6sy4sb:2og2w yj1mv m. What is the total mechanical energy of this system?

  A mass vibrates back and forth from the free end of an ideal spring o2y9b+q0u l vrnf spring constant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kinetic energ9+ ur lnbvqy20y of this vibrating mass?

  The mass of a mass-and-spring system is displaced 10 cm from its equilibrium po31/ehrfbid.al0*83moef n /m6 hfewysition and released. A frequency of 4.0 Hz is observed. What frequency would be observed io0. 8b ey3hei *3mwn/lafrd6/ emf1hff the mass had been displaced only 5.0 cm and then released?

  A 4.0-kg object is akj :tpp n*bv(* 0oxkaipk b219ttached to a spring of spring constant 10 N/m. The object is(10 pbivajp :b k*2*pt onk9xk 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 spring constant 10 N/bah lp).3nm.oy 5bm2n m. The object is displaced 5p)ohm2a .3lb nmn by.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, displac(cjyyu 0j 9):w wfy3xqed slightly from its equilibrium position, and released. What is(3:uf yw0 cq9jy xw)yj the frequency of its vibration?

  A mass is attached ttikmq2q7; trvg yc550o a spring. It oscillates at a frequency of 1.27 Hz when displi;mtrgy7q t52k v q50caced a distance of 2.0 cm from equilibrium and released. What is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to differe 2thfzm( tad*0nt 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 16 Hz. H( 2htz*t fm0daow 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 stretches thek1lkcit h qveeij75n(90/ cr) spring 2.0 cm downward. The mai5v79 /lk(1kte0) eqrjn ichc ss is then pulled 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 stretches the ,xv3y9d0wky)xx *(vl g on5i t,ej5 azspring 2.0 cm downward. The mass is then pulled an additional distat j)nvy vkoz(5y*5 ,ax90gi xwl,de x3nce 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. Iw1 y;6 g6mhog 2wfpkv)pm1 2lzn equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and releasw2hgp)p1mm2zg y ; 6l1f6vokwed from rest. Write down its equation of motion.

  An object in simple harmonic motion obeys the following position verlz9etxo .:go-a/yf g:;o - rtnfk6+y qsus time equatio ly:-/ ze toay9frot-.gx6+q:;kn fog n:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeyy+xfy ; 1py-ljp q0t6xs the following position versus time equat0jfyq yx +t-ypx 1;6lpion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following position versus tig 5 2gdds1fxh/me equation:ds 1h2/gd5gx f
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple (.v(ya7j a nx c-w,pwyharmonic motion according to the equati,7n ayx-p.vww((aj cy on $y = 0.50 \; \sin (18\pi \times t)$ where y is in meters and t is seconds. What is the period of vibration?

A 1.5-kg mass attached to spring ;8jnv;itnzu /inl q8/ with a force constant of 20.0 N/m oscillates on a horizontzni 8i/tnnv ;;/qj8ulal, frictionless track. At t= 0, the mass 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) Wh2y6c( 7v aix *rbtw; sv/ikf,vat are its frequency and period on Ear7a2b vry,tv w6kvf i/(cx s;i*th?

  A 3.00-kg pendulum is 28.84 m lo bge.5607wl2bcgagxk ng. What is its period on Earth?

  A pendulum has a period otp ,ih . 6mc:tuf6;hfsf 2.0 s on Earth. What is its length?

  The pendulum of a granda(r/r ru1)s refather clock is 1.0 m long. What is its period on the Ea/ra(1reu sr r)rth?

  The pendulum of a gra8/ z hccgf/;oqndfather clock is 1.0 m long. What is its period on the Moon where the acceleration due to gravity i/f8hcqco ;gz/ s only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attached to ajm74tsm6cdi9z 8lz yj0 d/g fg1g2t,m 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 spheresctdd,9 ggmi0jz yl6 mmf gj8/z1724t) had been attached to the string instead?

A simple pendulum consisting of a 20-g mass has initial anguliq 9 f47:pl jwgk(8ix kmh3z0;oo+fkqar displacement of 88kflghkfooqim7z : (3 kp490 ;qi+xjw.0e. 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 time. The frequency of th2vzi:3 j x3deame.c azq , g.iv946jmpe wave is 120 Hz. What is the ample jm6m aiav.. 2pjzzgd3 4 3,ivx9ce:qitude?

  Figure 11-2 is a "sn:2iw z6bu.q-h; p r0-ba:fylqr m 8egaapshot" of a wave at a given time. The frequency of the wave is 120 Hz. :liugmbr azw6.r2 p:;fy h q0eq --b8aWhat is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given time. T-gfl whk+o kv;+8oe;che frequency of the wave ikf;wc -egoko+lh ;8v +s 120 Hz. What is the wave speed?

  What is the frequency of a wave which has a period of d ha467,zyr be6.00 ms?

  What is the period of a wave with a frequency of 1co l.)kw4i vup, fs(r4500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz and a waveleu 3kbm s qmetc)l;,6+zngth of 3. ,k3m6ct mzbulq;)es +0 m?

  What is the velocity of a wave that has a wavelength of 3.0 m an1 a3v63)efibrosi f 5ad a frequency of 12 av s6e5b1ar3 f3iifo) Hz?

  What is the frequency of a 2.5 m wave travehl j9vwwoj3.ke6 0j 9wling at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is under a cpzx x kv4uo,7q: 2r4stension of 1350 N. What is the wave sp2xqk7,p4u:zcx vr4 soeed?

  A string of linear density 6.0 g/m is under a tension of 18fvwd wfk r+ff0c*6;dbh) -)bk0 N. What is the velb0 d6f- rfbv)wf cdk*f)w; +khocity of propagation of transverse waves along the string?

A wave whose wavelength is +;rpxh:us cc .6c* oor0.500 m is traveling down a 500 m long wire whose total xp+chcro.* :cs6 u;r omass 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 string -awrd*yy3.jc fixed at both ends is 200 m/s. Which one of the following is not ar-ya*ydw.jc3 resonant frequency of this string?

  If a guitar string has a fundamental frequency of 500 Hz t.zizl6zc p.o( .,ntd, which one of the following frequenpzd c. zzi.o.6tn lt(,cies can set the string into resonant vibration?

  A stretched string is observed to have four ez4af8afz d0f -az 2kg*h n8:mtqual segments in a standing wave dri 8nh4 k m:2z*tdf-80aaff zazgven at a frequency 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 btdbs(8u7f i9frequency of 12 Hz with a standing transverse wave pattern containing 3 loops. Whatibf89( bstdu7 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 sh p -r5pvhq7-btould its length be if its fundamenta-b hv7 qprp-5tl resonance frequency is 220 Hz?

  Find the first three unq+ yrv-d+j6:mnmv5harmonics of a string of linear mass density 2.00 g/m and length 0.mjmdn v+-+5 r :uv6nyq600 m when it is subjected to tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. When thnj 5p6jf y6bx*e string vibrates at a frequency of 85 Hz, a standin*6xn fb y5j6pjg 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.