The time for one cycle of a periodic process is called tm uz4g )83qxcf1e y74 .wqgubphe

  For a periodic process, the number of cycles per unit time/d gt- s;gpvg4 is called the

  For vibrational motion, the maximum displacement from the equilibrium poi ppzgxucj*,e0p +a+aa9n 1 0s:jteti 9nt is c t p0i1aag:pce*eta9+u9 sz, n+j0xjpalled the

  A mass on a spring undergoes SHM. When the mass is at its m1ff s2rkm)z;jaximum displacement from equilibrium, its instantaneous veloci2f rs fz)km1;jty

  A mass on a spring undergoes SHM. When tho*a38 :gbxw zoe mass passes through the equilibrium position, its instantaneous vex8w oo3*b g:azlocity

  A mass on a spring undergoes SHM. When the mass is at r jloz,pib 7(6maximum displacement from eq( lp ozj6i,br7uilibrium, its instantaneous acceleration

  A mass is attached to a vertical spring and bobs up and doir)t )5c.ilrb7 e3fkl wn between points A and B. Where is the mass located when its kineti ki7r)5 te3.cifrlbl )c energy is a minimum?

  A mass is attached to a vehrxvzefen (vd1/*y ,3hr: bq.y4e8q jrtical spring and bobs up and down between points A and B. Where is the mass located when its kivx(ef8y y/zed:h hrjb*qn3eq4 r1,v.netic energy is a maximum?

  A mass is attached to a vertical spko4 psv+4u9ala8p:hwring and bobs up and down between points A and B. Where is the mass located when its potential energy is a minkvh:o9sa4 a w8+p4 uplimum?

  A mass is attached to a vertical spring and bobs up and down be.04xvc8ftfv7m qk s(g tween points A and B. Where is the mass located when its potenm .vq8 cgkt(vf470xf stial energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-spring system produces +h 4x8 zsclj ib9f9n*wwhat e9s+*9cix b lnzjw fh84ffect on the system's mechanical energy?

  Doubling only the mass of a vibrating mass-and-spring system produces whudj4fb6dcsq bj-ig4i , 4kwiy;r4y- 5 at effect on the system's mechanibq df5y; ii64jgui4byw--ck r,4js 4dcal energy?

  Doubling only the sprin/9gxd3 ;e8 lbqvot6olg constant of a vibrating mass-and-spring system produces what effect one b/8gllx9oqo d v3t;6 the system's mechanical energy?

  A mass oscillates on the end of a spring, both on Earth and on the Moon. Where ,g or5a6qd+bwis the p,b6g ow q+5rdaeriod the greatest?

  Increasing the spring constant k of a massrk-gs5x fa5t2l91tv h-and-spring system causes what kind of change in the resvka95h-r fl1gxt52t s onant frequency of the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system causess.ji k21cbf(7a fe 5* (odolgs what kind of change in the resonant frequency of the system? (Assume no change in the system's lfois(s2a(j5e7dgbc k.of 1* spring constant k.)

  Increasing the amplitude of a mass-ag-h5 r.w n1imhnd-spring system causes what kind of change in the resonant frequency of the system? .i5wn- h 1ghmr(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 tod9 6 3f4z 9bykunrn 8v,dmdq,i a weightless string of length L. For this system, wh fb6dinrdqynu,3 d9489,z m vken undergoing small oscillations

  When the mass of a simple pendulum is tripled, the time required forv3a xbude(/d ql8.):pr zo.ge one complete vibratio .dae 8g(/.blqrde :)vpxz3oun

  Both pendulum A and B aretx(,m,miq8y 5kryflr , :4xye 3.0 m long. The period of A is T. Pendulum A is twice as heavy as pendulx5r 4, mirf me ,(tlqx:ky,yy8um B. What is the period of B?

  When the length of a simple pendulum is tripled, the time for one complg +18fs xec- b(-b (txea0hrojete vibratioo8xh ja es0fcbr-b((ge -+1xtn increases by a factor of

  What happens to a simple pendulum's frequency if both 7eb *3p**hskn dm*ylhd/xxp0 its length and mass are increas7 **ydh p*px0d/k3 hml nb*exsed?

  Simple pendulum A swings back and for:6ph11o(os9xg cylpwn 0g7j 1f wpxt3th at twice the frequency of simple pendulum B. Which staxx7:6nlwg19oht c p(gf1o sp1w0jpy3tement is correct?

  If you take a given pendulum to the Moon, where the accelerf-0f9h;doux.d y6xrwr9l xm8 ation of gravity is less than on Earth, the resonant frequency of the pendulum 9udld.9x 68xxf;frm-0r wyh o will

  Curve A in Fig. 11-1 repof t ,;9oku m2m+2bvdqrh m+0sresents

  Curve B in Fig. 11-1 represe0k39g,-t kxtta 0gqb bnts

  Curve C in Fig. 11-1 f d +hq7uz+wbh3t3d8 urepresents

  For a forced vibration, the amplitude of vibration is found to depend olkacan/j/,wpi-k 0;famxm +j )2 w xpum*,q)fn the

  In a wave, the maximum displacement of points of the /( +vgyg wvl.bgbgt.;wave from equilibrium is calle(y g bvvggw+.;/gt.lb d the wave's

  The distance between successive crests on a wa. 6;3zhwcp, tvo.v leshr;p7u ve is called the wave's

  The number of crests of a wavo.vc2hmc), phe passing a point per unit time is called the wave'scpmhh,)o2 .vc

  For a wave, the frequ zs0f:j6mpl4 eency times the wavelength is the wave's

  The frequency of a wave increases. What happens to the11g+j/l;kpeo0kwq s-nj*9 oc wr6b ag distance between successive crests if the sg6qsbw lj9 o+e/pr* ja1kk1ow;gc-0n peed remains constant?

  A wave moves on a string with wavelength l and frequency f,u m,lv8n )r/kezlt(70ewc+hw gky. s. A second wave on the same string has wavelength 2l and travels0etknc+7ww(em .lgys 8/ vuhzl,rk ) , with the same velocity. What is the frequency of the second wave?

  Consider a traveling wave on a string of lengtj )aexqmdcp/uf1:.v d( , uvu d(;eu.jh L, mass M, and tension T. A standing wave is set up. Which of the followind mu(x1v j)du;/aue fq: .dpvu.,(cjeg is true?

  A string of mass m and length L is undery1nb78e39,cuyp kpguj3 jb. n0x. emk tension T. The speed of a wave in the string is v. What will be the speed of a 7nk pbkpb gyjj yn0m13eeu93 .u.c8x,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..qk8oi zik(,s v;y/ef The speed of a wave in the string is v. What will be the speed of a wave in the string if the length o,(zs;ik.8yiv /qe kf is increased to 2L, with no change in mass?

  A string of mass m and length L is under tension T. The 7mwuqmf--. cki0 xf4f30frwg3nq, vj speed of a wave in the string is v. Whatfi3w7qfgxvrfu4 n-- k.q 3 m0c,m0jw f will be the speed of a wave in the string if the tension is increased to 2T?

  In seismology, the S wavjse:)i)o2mf9 e yvy; ie is a transverse wave. As an S wave travels through the Earth, the relative moti) y);es j2imeiyv:9 ofon between the S wave and the particles is

  In seismology, the P wave ir,p8idy(zh.smo :gx:dn 8xfq7t 0 0aqs a longitudinal wave. As a P wave travels through the Earth, the relative motion between the P wave and the partaohx:d0 80qd ,(p:xt8sqg .ir 7yzmfnicles is

  The intensity of a wal l;i s/qnh/w+ z9jwn;ve is

  A wave pulse traveling to the right along a thin cord reaches a 3hzi;yk7)5 :dzkix pvdiscontinuity where the rope becomes thicker and heavier. What is thh 3pzyv)z 5kix:d;ki7 e orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each oth1mc-w/tzuzw / er on a string, one is traveling toward the right and the other toward the left. At z mt/w/c- uz1wthe point that they occupy the same region of space at the same time

  Two wave pulses pass each other on a string. The one traveling to /zdrm dcwf,e:lop233 ward the right has a positive amplitude, while the ow3c:3lrz2 fd e /mp,done 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 at both ends, flz1r zq+l*6 goccurs when

  If one doubles the tension in a violin string, the fundamental frequency of tftrq5 jqq6b +2hat string will increaqr qf 56jb2t+qse by a factor of

  What is the spring constant of a spring th29q21na kwom 6vo 3rj.3h icwoat stretches 2.00 cm when a mass of 0.600 kg is suo2ra3jvqw n m2o wcih 361k.o9spended from it?

  A mass is attached to a spring of vyva6g) rxe+5 ;osks2/zko t1spring constant 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 position wa;/ vzksro5t sko2v +e61)gy xhen it is oscillating. What is the amplitude?

  A mass is attached to a spring of spring constant 60 N/m along a horizont+p7yu8x bca8,:lgb vual, 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 equpa:uy,g8 bxbcu+v8 l7ilibrium position when it is oscillating. What is the period of oscillation?

  A mass is attached to a spring of spring constant 60 N/m along a horieud+ p m-epg2odz-,h tayq- 91zontal, 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 isoq2m--e 1t-9hepgz dypu+ad , the frequency of oscillation?

  A mass on a spring undergoes SHM. 50 edlitg 3ow4cymq sx:8sgf 63ucf6, It goes through 10 complete oscillations in 5.0 s. What is the p g3lu8t3 ,6456cqcsfi0d:efow xymg seriod?

  A mass vibrates back and forth from the free end of am6xl )xm9q( man 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 flx )x6 q9mm(marom its equilibrium position?

  A 0.50-kg mass is attachedyz, d(6 ge;w5iwpz u)p 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 (w65pizdp,zgy)e; w u at the equilibrium position. What is the total energy of the system?

  A mass undergoes SHM with amplitude of 4 cmxe+j(c6gt-o 3q*.wh s 3wxe pj. The energy is 8.0 J at this time. The mass co3-ew+pg.*sx 6q xth3je(wjis cut in half, and the 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 sprn2y(q qcw x+7ve 6ms5eing of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmon52y6 xq 7+mcenqv swe(ic motion and has a 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/v ovbul ):qya1z0; cr5m along a horizontal, frictionless 5cqb:0r;zavlu1v oy )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 energy and the potential energy the same?

  A 2.0-kg mass is attached to the end of a hori-o 2n 0gk*ljkh+z7a ar-;1peq43 ghkiz)v kwyzontal spring of spring constant 50 N/m and set into simple harmonic moti-kre-z4h)3wn h+7ag*k2jlga 0 vpk k1zqy;oi on 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 spring of spring const s2mjqq+s/rjztx;5f8ant 50 N/m and set into simxst jm;2/5rfj + qq8szple harmonic motion with an amplitude of 0.10 m. What is the total mechanical energy of this system?

  A mass vibrates back and forth fro) cbz6a yn :8q ms/und5yh:vre4y, ,fdm the free end of an ideal spring of spring constant 20.0 N/m with an amplitude of 0.250 m. Wsd: vcfru dn yha b:nz,4,65m)y8e/q yhat is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring system is displaced 10 cm from its equilibkw4r l1i4bfa4se 9g nkw(m(p8x/ ; sisrium position and released. A frequency of 4.0 Hz iss(41xf/9imw8e 4g a(bknr;p k4liw ss observed. What frequency would be observed if the mass had been displaced only 5.0 cm and then released?

  A 4.0-kg object is attached to a spring of spring constant 10 N/m. The;3gn.d+ /(q5 x ,0 up0izyvepakgkik(:zgzz m object is displace(0gmnk:/ d;z3kk 5,ipia. g z +vgpzq zx0uey(d 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 springmom635orim/p0ryts a9 ) oq5he 9nh*i constant 10 N/m. The object is dispa/50 h 6o o5 s3 t99mrr*qmehnpmiy)iolaced 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 Ni:+jm x6lm io d49q)9v hji n0c)vgty,/m, displaced slightly from its equilibrium position, and released. What is the frequency of itgc4: mvj9yonl +mvii6j x,9)0dq )hi ts vibration?

  A mass is attached to a sprinkf k,.u6v,vudg. It oscillates at a frequency of 1.27 Hz when displu u, dvf6v.k,kaced 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 different spr;)8+ilfqnr5t 2gej)- f ejgmt ings. Mass A vibrates with amplitude of 8.0 cm at a frequency of 10 Hejn g );l-g 58f+t fm)2qrteijz 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 stretches tqrkl:. d1qcj ni, jwq,l)8vw-he spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and released frorq n q-k.w:q,d)lj18,w cvjilm rest. Calculate the period of oscillation.

  A 0.30-kg mass is suspenbqttmzx* 85t /ded on a spring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm dq/zxmbtt*t85 own and released from rest. Calculate the total energy of the system.

  A 0.30-kg mass is suspended on a spring. In eqr:obb9w-n+ qp uilibrium the mass stretches the spri: o9w-q+bbnrpng 2.0 cm downward. 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 harmonic motion obeys me1 qcfbe poy+;6u 5oqo2g5n8 s+vr2ethe following position versus time equepouf roo+ e mg1q2 ;b6vq5s85ny2 ec+ation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following position versur 0*j5:5h 3-hfa fibf3uxzfajs time equat:i -fr z5fhxb3 h5fa* ujfa0j3ion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the followin1 l/kndc1we /wg position versus time equatio1cne /1wkwl/dn:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple harmonic motim-7 s1cll.3az9knv tj( cur- pa)uz c5on according to thrl k n)u jla(c73v5sap z-tcu1-zm9 c.e equation $y = 0.50 \; \sin (18\pi \times t)$ where y is in meters and t is seconds. What is the period of vibration?

A 1.5-kg mass attached to spring wit . 01;uyu3g8rx b0x4rday/tz hp sikp:h 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, the spring is stretched by 10.00igp0pb ;10xx.r8ykdy u3ra 4ust:z/ h 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 8ss)fm o.uasgm5v71 8z 4v(nj cxf3zf1 .0 s. (a) What are its frequency and period cfxo1 s5sauf( zz13gsm4 )m 8nvvj7.fon Earth?

  A 3.00-kg pendulum is 28.84 m long. Wh,gtmoasme,zaq edri.: 18 qe +/6tt.wat is its period on Earth?

  A pendulum has a period of 2.0 s on Earth. What is its length?:nv z)* ahrmutmtln1/w- -* bf

  The pendulum of a grandfather clock is 1.0 m lon +i i:c9hdzt 31yxe0fmg. What is its period on the Ear 9: c+h03my izdfiext1th?

  The pendulum of a grandfather clock is 1.0 m long. What is its period on the Moebrf0vf b 3-)xon where the acceleration due to gravity is on bxfrv)f0b-e3ly $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-fn ea9 vcx80x1 *h7fli-g4vumkg 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) had been attached 4h8vxmcgfe i 9l*0vfx17 nau -to the string instead?

A simple pendulum con-ls0 3zz apx:tk0,zxssisting of a 20-g mass has initial angular displacement of 8.0e. It oscillates 03 z, 0-xsxkpast:zl zwith 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 a1832fk k y ylpjr2l.n z1dh1fnt a given time. The frequency of the wave kjyffd 2y1l r1p .2lkhn1nz83 is 120 Hz. What is the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency of the wa-t:iok c+r/rkm4 kgv.ve is 120 Hz. What is the wavelengtkk4/k m:rr ctv+ g.i-oh?

  Figure 11-2 is a "snapshot" of a wave a 5evxt3oz/r 6 3zj2ibyt a given time. The frequency of the wave is 120 Hz. What is the wave spez6y3 brto5i/ z j3vex2ed?

  What is the frequency of a wave which has a period of uot7hs1d nf1o cywef4jb/vp,q9,;n3 6.00 ms?

  What is the period of l alfzc) dv9(*5ds7f ssnf h.t 7,4emua wave with a frequency of 1500 Hz?

  What is the wave speed if a wave has a frequencb+b b fri;h;m av)qd+apm/8 9cy of 12 Hz and a wavelength of 3.0 m?ad)9pbm;hcrf + bm;+8ab vi/q

  What is the velocity of a wave that has as x*bvt/-jqv gb. yv;6 wavelength of 3.0 m and a frequency of 1gby 6sj-t/vqbvv *;x .2 Hz?

  What is the frequency o) j s;) wizqq)tam3nu4f a 2.5 m wave traveling at 1400 m/s?

  A piano string of linear mass deo jb7/j iblj/ 2gd*5*f) r+w teub9iopnsity 0.0050 kg/m is under a tension of 1350 N. What is the wave speed?/j2o* bdbj u5e *w+ b lrip/i)o9jg7tf

  A string of linear density 6.0 g/m is unde / .oexkntqqh0j/j)ps7ki: h3r a tension of 180 N. What is the velocity of propagation of transverse waves alin kq/q .kj hst:)73o/hj epx0ong the string?

A wave whose wavelength is 0.500z a.)l.m4ishqf -p aa4 m is traveling down a 500 m long wire whose total 4 -fqmaphasi)z4.. a lmass 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.metns bp/6he4p0+zbia w+ s9m 640aap0-m long string fixed at both ends is 200 m/s. Which one of ts66i0wstz me+ba n+mh4aap9ep4/bp 0 he following is not a resonant frequency of this string?

  If a guitar string has a fundamental fr p+8 rjksce159rgb; npequency of 500 Hz, which one of the following frequencies can set the string into resonant vibratio5g bpe kn pcj+9rs8r;1n?

  A stretched string is observejdd : i+f6v:voy;g9b 0 rfn-xt+;jocbd to have four equal segments in a standing wave driven at a frequency of 480 Hz. What driving frequency will set up a standing wat byfrbj;:: 6v 9n+gdjxciv+d-o;fo 0ve with five equal segments?

  A string, fixed at both en7efq1v 6fue8dds, 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 is to contain 4 lve d17ufq6fe 8oops?

  A string of linear density 1.5 g/m is under a tension of 20 N. What should itu ae ak5p8g/u2s length be if its fundamental resonance frequency ise5akug/82 pua 220 Hz?

  Find the first three harmonics of a string of linear zowl )pae sk36.+5shamass density 2.00 g/m and length 0.600 m when it is subjected t53 aazss.6+lpo)ke wh o tension of 50.0 N.

A string of length 2.5 m is c r)ierof:g7)* dqai.fixed at both ends. When the string vibrates at a frequency of 85 Hz, a standing wave with five looq7f ag e)dr)* io:ric.ps 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.