The time for one cycle of a perv .li a2ysf;*tiodic process is called the

  For a periodic process, the number of cycles per unit time e-*bdfhq7 ey 9is called the

  For vibrational motion, the mat pt tr+/yfzfk7;ti9.j: q)wwximum displacement from the equilibrium point is called ttkp f) y + wz;:i.t/tqtf9wj7rhe

  A mass on a spring undergoes SHM wz6b+m4yn2sm . When the mass is at its maximum displacement from equilibrium, its instantaneouss by zm6wm4+n2 velocity

  A mass on a spring undergoe4kiece26jukz/9qjbmwd 73f 2 s SHM. When the mass passes through the equilibrium z/2 jqf e9j6dwbcmi u347e 2kkposition, its instantaneous velocity

  A mass on a spring undergoes SHM. When tkevlx7gl .2 +1j 83oir;sgzz wo,a)nu he mass is at maximum displacement from equilibrium, its instanij g1 aw 87;2 lszr)+gu.k, voxn3loeztaneous acceleration

  A mass is attached to a vertical spring and bobs up andozpk j 8(albg :2:nwoebj3 z5/ down between points A and B. Where is the mass(3o/jjzglk5b n:z2a8oe:wpb located when its kinetic energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down betwee91,-m0,tq :kkwk fcexg 3e)xjh efu t9 e30iohn points A and fm u-)hf 9xxeqehe 3 tg3 :9jko0tke,c1,iw0kB. Where is the mass located when its kinetic energy is a maximum?

  A mass is attached to a vertical spre8fc:v mgn- ;*pwiaz ,ing and bobs up and down between points A and B. Where is the mass located when its potentializwg ;*8 naev,: -cpmf energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down bjw9pt* o0lwi9gp3g5tyzx/ 1 between points A and B. Where is the mass locatedw 10* xo9pw/5ip3yz 9bglgt tj when its potential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-sp6mpe:4i f3xwd ; 5ey(h hmekkrk9t0a3 ring system produces what effect on the system's mechanical re phk9k( t6mxd;fmwk e4 eiy5:3ha30 energy?

  Doubling only the ma) t*r ltb)q ym5tmwvu ;a19h vsp(06ftss of a vibrating mass-and-spring system produces what effect )s*tv0a qmp19lw(fu6 tttmy )rv;5bhon the system's mechanical energy?

  Doubling only the spku sgu q4.m9nz 5e7+sh:(wlc ering constant of a vibrating mass-and-spring system produces what effect on the sys 9nukqe4 .(l75ze shc+:uswg mtem's mechanical energy?

  A mass oscillates on the end of a spring, both on Earth and on the Moon.mj+ka-vg6b(,3v x hca Where is theb-vajxk (a,v h+6gm c3 period the greatest?

  Increasing the spring constant k of a mass-and-spring system z*,vp 9dexhpeor l*8/causes what kind of change in the resonant frequency of the system? (Assume no change in the system's mass m9*/ed r*xz,p8pov hel .)

  Increasing the mass M of a mass-and-springzu,wb . dnz-v( system causes what kind of change in the resonant frequency of the system? (Assume no change i nw. dzuzbv(-,n the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring sys q10+-dzy -tee/ekixy tem causes what kind of change in the resonant freit-x 0 -ed e1ykz+y/qequency 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 axbe 7kql.:2sau r.b-crcw99 uqu*r8o weightless string of length L. For this system, when undergoinusqw r- .9.cx8brlurkeqo9b7 * 2auc:g small oscillations

  When the mass of a simple pendulum is tripled, the time required for one 8cmys;jfr5gkczn +x -oc j+2;complete vibrazc mr-; 5x; +fj8 gynso2+cjkction

  Both pendulum A and B are 3.0 m long. The period of A i5j s jk)lrkaqh56f )bo)(ync3s T. Pendulum A is twice as heavy as pendulusk )ofan5j)5b6y) jrck ( hlq3m B. What is the period of B?

  When the length of a simple pendulum is triple t6 dw)a5gmf+rd, the time for one complete vibration increases by a fac+r)dt5w m6 gfator of

  What happens to a simple pendulum's frequency if both its lengv13i (yhh v/dt(2,( *,9 4rexzlx ozknodpleqth and mass are incxz(9t,(3eh kodl1 v,o2i4pr hnlve dy z*qx( /reased?

  Simple pendulum A swings back and forth at twice the frequencdd)8q (z4 iybgy of simple penduluy4zdg diq(b )8m B. Which statement is correct?

  If you take a given pendulum to the Moon, where the acceleration of gravity is lt,h0d rgbp,d/knp-m / ess than on Earthkp-,h/tmbn dp,/d0r g , the resonant frequency of the pendulum will

  Curve A in Fig. 11-1 r o 8pow -c3poo4:x7tdqepresents

  Curve B in Fig. 11-1 representsjt w6yc()d294bb:n o whx/oxg

  Curve C in Fig. 11-1 represebuq wgm+ o4b50r 1)ywints

  For a forced vibration, the amplitude ouby va ,,yz0c3f vibration is found to depend on the

  In a wave, the maximum displacement of po oo2 ; qgb/,z*vmszjyu1h.mgm.y8 rs 8ints of the wave from equilibrium is calhs 8mo.rgyzmmuz2 qsg /1 v8j,b. *y;oled the wave's

  The distance between successive crests on a wke 7z. .xfscih uh:;)+dag+fzave is called the wave's

  The number of crests of a wave passing a poia;opc5l)c*yb n+e4 zfnt per unit time is called the wave' zlbo *a)c; y4pecf+5ns

  For a wave, the frequency times the wavelength is tegy+y i:uv83crdb ;xtk3c6 : xhe wave's

  The frequency of a wave increases. What happens to the dis*v ta7 i- m(nyuvwgx6 lzq3/z;tance between successive crests if the speed remains covv tz3 /(-in*z xguaqw6;l7mynstant?

  A wave moves on a string with wavelength l and frequency f. A second wave on th64ssquy. mdi8f-;kpt0v5 yqygm )w* pe same string has wavelength 2l and travels with the same velocys yqpp4u m .d85*6tigfvy-;0sw)qk mity. What is the frequency of the second wave?

  Consider a traveling wave on a string of length L (h.m(j9sc- ) ogyhob uipl.3mc vd2c2, mass M, and tension T. A standing wave223 hs. ((cychb)9j imm.ov-d clgo up is set up. Which of the following is true?

  A string of mass m and length L is under tensionh1ku*8,ncfg q T. The speed of a wave in the string is v. What will be the speed of a wave in the stu8 *k1 fhqg,ncring if the mass of the string is increased to 2m, with no change in length?

  A string of mass m and length L isnkq*4r /hs-7 r*vfssp under tension T. The speed of a wave in the string is v. What sfqnrp*rs4k7 *v/ s h-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 anf(bh08o. ex8gz*hgrkb9x(u-syj 5y d d 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 tensiozfbsj he k8xy rg(o59yu(b80xd-.h*gn is increased to 2T?

  In seismology, the S wave is a transverse wave. As an S wave travels throughh js26ffbpxje)) 84lqgs 2m f/ the Earth, the relative motion between the4/2ejmgsbjlx 8p)s q2hf)ff6 S wave and the particles is

  In seismology, the P w8o8.+/sqjubgl-s/ blxj y+k bave is a longitudinal wave. As a P wave travels through the Earth, the relative motion between the P wave agqyj +/bu.slox8b/bls-jk + 8nd the particles is

  The intensity of a wave i3vboa*(pg lewu g*cly2 4kg53 s

  A wave pulse traveling to the righ*q m ksg6oo3;tgt(/bgt along a thin cord reaches a discontinuity where the rope becomes thicker and heavier. What is the ori g ( 3gbqtt/6kmsog*o;entation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass oz(0s/e ka/ jc1 8qgvjeach other on a 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 tim j/acv0ekz(qo s8gj/1 e

  Two wave pulses pass each oth9cit rl2gj+j6v (i9in8waa3 *t7i enger on a 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 they occu 32aji 7g6gtw8+te(rlcn iini 9j*v9apy the same region of space at the same time

  Resonance in a system, such as a string fixed at both ends, occurs who mge316aiy z1g-1twvz* skd(en

  If one doubles the tension in a violin string, the fundamental frequencyh.ow; l;q 9x .iplduz; of that string wd.q;; pw xz;o. ihll9uill increase by a factor of

  What is the spring constant of a spring that stretches 2.00 .n (*v,egd:ghhg n xds1*pt,dcm when a mass of 0.600 kg is suspendp:dxg v*d sh.g*n hg (n,ed,1ted from it?

  A mass is attached to a spring of spring y5z:b716,h*uje u ckqtka,mu constant 60 N/m along a horizontal, frictionless surface. The spring is initially stretched by a force of 5.0 N on the masy6juu:5bk*eqhk m ,czt1 a7,us 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 along ae rrwu-a: fgf- g-9vw8 horizontal, frictionless surface. The spring is initially stretched by a force of 5.0 N on the mass and let go. It takes the masga9-ffu-: ew8rg-w rvs 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 along a hor*x,4)radxh b dc o)e0gizontal, 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 isxbe,g0 aodhd )4 )cxr* the frequency of oscillation?

  A mass on a spring undergoes SHM. It goes mox8: do3gq4 p40psdythrough 10 complete oscillations in 5.0 s. What is4 qp0g od8p3dsmxy4 :o the period?

  A mass vibrates back and uv8k tl8i0/r nforth from the free end 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.tkn0 v/8ul8r i30 m from its equilibrium position?

  A 0.50-kg mass is attacheh84 vpq9* wlmgglf7gpwc *).dd 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 equilibrium positionlq w g7*v.gppf)c4ld8m9 g *hw. What is the total energy of the system?

  A mass undergoes SHM wiww3n :egg6j ze:rb: 4zth 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 amplitude 4.0 cm. What is the gg:zj bnr 3ez6w4:ew:energy of the system now?

  A 0.50-kg mass is attac:o yo* udurqil3b0i)y v8 ).dyhed 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 equilibruq:io)0yylo vbi*u d8dr) 3 .yium position. What is the amplitude of vibration?

  A 0.50-kg mass is attached ta 9 utw :/zxhv;lm:z5io 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. At what location are the kinetic energy an:azti :u /m5lzv9xw;hd the potential energy the same?

  A 2.0-kg mass is attached to the end o d-rj;3eedvfdar 77f+ f a horizontal spring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10f3df +v jdre;a7e7rd- m. What is the total mechanical energy of this system?

  A 2.0-kg mass is attached to the end of a-lh:qd03x az p horizontal spring of spring constant 50 N/m and set into simple harmonic mol p-za3hd:x0q tion 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 k4t.rn+xd 5hb1rzjjh1 v1ku4 spring constant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kinetic 5xk1zbr4v u4hj h+j k.tnd11renergy of this vibrating mass?

  The mass of a mass-and-spring system is displaced 1 nskq5ma59j *e0 cm from its equilibrium position and released. A frequency of 4.0 Hz is observed. What frequency would be oq5nj* as k95mebserved 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;7 /wg) pgikq pul:xisgrtmg 2+ -*d7y object isgq 7il/; 7m)kg :g+s-pigtr*p wy 2xud 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/m. The objectv s 48zaxx8gv6 is displvgav6s488 zxx aced 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 ix 87t2kzdxso8x:eh, * euv9vN/m, displaced slightly from its equilibrium position, and releaseddt oxh98zev , e:78u*xi2s kxv. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequency of 1.27 Hz when d) sn 9w2ijwncf;+1sj7r(p v nvisplaced a distance of 2.0 cm from equilibrium and released. What is thec9)j (wn+vpwisf s ;1n v2r7jn maximum velocity attained by the mass?

  Two masses, A and B, are attached to diffewnpc6 ldeq4,6 rent springs. Mass A vibrates with amplitude of 8.0 cm at a frequency of 10 Hz and mass B vibrates with amplitudelnc,p qw6d46 e 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 sprin2b2uct* a :yt4+dcgghy t-:f xg. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and releastbf *22t+- ch4 dg:gxayy: ctued from rest. Calculate the period of oscillation.

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass stretches t 46 em2ipoq o)lowmnh)f+r/,m,nv (ac he spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and released from rest. Calculate the total enepf ow/+c)in)n,rqloa6m e,om4 vh (m2 rgy of the system.

  A 0.30-kg mass is suspended on a spra73y6)h 7wd7nxd j gmoing. In 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 equation of mo y77)d763hdmw najxgotion.

  An object in simple harmonic motion obeys the following posciibqw p* 3n96ition versus time equwp6i93n i*bqcation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following positioam2hab(c9k* r n versus time equati2(m 9cbkah*ra on:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following posi*8d:z d -h sc,ae8gldstion versus time equs *dh-edz8d 8sgla c:,ation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple harmonu*2y q+3boe fnic motion according to the eq32n*bqf + oeyuuation $y = 0.50 \; \sin (18\pi \times t)$ 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 pv/q8r)fyqj1pw, ;b cof 20.0 N/m oscillates on a horiz;cy,b pvq q/pjr8w1 )fontal, 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 completed :h 0(3gvbaxlk 2a5 k7(rnrld swings in 8.0 s. (a) What are its frequency and peraadllb( r50k3( kng 2rdh7v:xiod on Earth?

  A 3.00-kg pendulum is 28.84 m long. What is its period on Eam.b ,lq..-y; mjtk1 cvxkjsq. rth?

  A pendulum has a period of 2.0 s on Earth. W b dl5t i,7etnpvpw *qby2j)8+hat is its length?

  The pendulum of a grandfather clock is 1.0 m long. What ivrw5.hl2lkrf(i,b 4e7 pt;bis its period on the Earth?t iw2bfkl i5lv, e4;7 hrp.br(

  The pendulum of a grandfather clock is 1.0 m lo 9q+a3( v3xhuln0f kfdng. What is its period on the Moon where thev+ak f33(fdu hn 90xql acceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0. jqu47dj ir:yb( uo+sz ty6;6r25-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) had been attachu+ ij:b7d troy4yz;s (jrqu66ed to the string instead?

A simple pendulum consisting of a 20-g mass has initial angulay2 h aqj0a7h-ir displacement of 8.0e. It oscillates with a period of 3.00yah2 7 h0-jiqa 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 timxs6n.:,o zp2pdj28di6rkqx8 u u s/ bd0:m rzoe. The frequency of the wave is 16 :iqjssux onod2.rzb:pz/ u82rk0x,md 6dp820 Hz. What is the amplitude?

  Figure 11-2 is a "snapshzpu*3+ zng3 xsot" of a wave at a given time. The frequency of the wave is 120 Hz. What is th +zupz33x *gsne wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency of the zg ns(cu3 e-kunewb q11 7h9n+wave is 12 nc-q 97en hzwu 31+esgubkn1(0 Hz. What is the wave speed?

  What is the frequencys xg 55sb b9 j:*jnh9xaa.rt,h)6ie yq of a wave which has a period of 6.00 ms?

  What is the period of a wave wit aflo(k9v6s5e h a frequency of 1500 Hz?

  What is the wave speed if a wav+ash08fd-2feqe,u eb e has a frequency of 12 Hz and a wavelength of 3. 8q2u-h+ f, feb0eeads0 m?

  What is the velocity of a wave that haqmnhh n ) 2*b,b7ende:gv99aas a wavelength of 3.0 m and a frequency of 1nv*nd7, bnhm:2h9) egae9qab 2 Hz?

  What is the frequenczr2 o);nkg 5nww, roz*y of a 2.5 m wave traveling at 1400 m/s?

  A piano string of linear mapmj zr9*sn:n6r7xa 0kyy)/n3ayrmh 9)e( h etss density 0.0050 kg/m is under a tension of 1350 N. What is ter : 9jt7h yanmsz0)hn9/x3 )(nayyp* r6 rmekhe wave speed?

  A string of linear density 6.0 g/m is under a tension of 180 N. What is the7o qkiv*w2d)k velocity of propagation of transverse waves along the stro*7 qdvkki)2w ing?

A wave whose wavelength is 0.500 m is traveling down a 500 m long wire whom6wb xkg+:0,9yld uf/:vsv nhg u-h0zse total masgv nf 00vxhd6m9:k,l gu b/hw:u+s-yzs 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 fixed a nopb *8a:1boxt both ends is 200 m/s. Which one o 8b *oax:n1bpof the following is not a resonant frequency of this string?

  If a guitar string has a fundamental frequency of a+ygn88 t.xteoj)hi iae:7g2500 Hz, which one of the following frequencies can seiat 2 th7e:o i8n+gxgj)ya8e.t the string into resonant vibration?

  A stretched string is observed to *fvol06zss ,p have four equal segments in a standing wave driven at a frequepo6s0z,vs* l fncy 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 frequeloqza -saan;3w(h 8m,m)1tc cncy of 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency is needed if the sthc1 nt3 a;smzmala(q-, o8w)c anding wave pattern is to contain 4 loops?

  A string of linear density 1.5 g/m is under a tension of 20 N. What fz6n: -o5a(w1+yqhop,l : vkf/zgnxq should its length bezwak(on6l :o g f/x+5hz-: ynq,vqfp1 if its fundamental resonance frequency is 220 Hz?

  Find the first three harmonics opq ih 3d-*i0abf a string of linear mass density 2.00 g/m and length 0.600 m when it is suaq0i3bipd*h- bjected to tension of 50.0 N.

A string of length 2.5 m is fixt yqtbm .)sd 9 i5b*,ddgpn-e/ed at both ends. When the string vibrates at a frequency of 85 Hz, a standing wave with five loops is f-*,gpdm bsn5q d /ytde)b9i.tormed.
(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.