The time for one cycle of a periodic procesohcu ;)y+gd ,is is called the

  For a periodic process, the number of cycle *f,vf it3(evvys16jas per unit time is called the

  For vibrational motion, the maximum displacement from the equilibrium pi/-/xh a y8ydg0 yei6ioint is ca y6ghai8 yie/y/xd-0illed the

  A mass on a spring undergoes SHM. When the mass is at its maximum *kclaok0v:;ive5(nc displacement from ;:e*(k clviov0a kn5cequilibrium, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass p g a wd+v:;zo(8o m g(f,ucdek9duk+3masses through the equilibrium position, it( m :k+;uaoevzowgk (,dm g8c3du 9f+ds instantaneous velocity

  A mass on a spring undergoes SHM. When the mass is at maximum displacemenx1n49zn- skw iag ig*lk77+kzqj o-2ct from equilibrium, its instan* 27kgxkg97-4qza+ siniwolkz 1nc- jtaneous acceleration

  A mass is attached to a verticrh2yf1owm tw8),qd hu f,(5l/lifo h5al spring and bobs up and down between points A and w h5,q llh/8mw2 5ifho(f otf1 )dy,ruB. Where is the mass located when its kinetic energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down between points A ani3(t8 :saz c-so adix8d B. Where is the mass locatezai388i(:xto dc -ssad when its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up and down betweg yu /95hgu)+h. iulpzr1hb:gen points A and B. Where is the mass located when its y)i9.hb5l1up g +r ghz/:guhu potential energy is a minimum?

  A mass is attached to a vt if18smj r.7yertical spring and bobs up and down between points A and B. Where is ys.ij8rt1m7f the mass located when its potential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-springvn4zp8nwt o npmyvw.8hs5i1bq9w 5.7 system produces what effect on the system's p9 wns.wn1bpqt 5 zn85i.vywv o7h84 mmechanical energy?

  Doubling only the mass of a vibrating mass-and-spring system produces what effh+p-3sr7aa v6a tyi6v ect on the system's mechan-3 rphyas a67iv+6vtaical energy?

  Doubling only the spring constant of a vibra m-o0 +1qnsj lfw1:fkde,nky*ting mass-and-spring system produces what effect on the systm fy:efk*odn+nqws, k10j1l - em's mechanical energy?

  A mass oscillates on the end of a spring, both on Earth and on the Mno.t pid f8*m huw/y ;jg(z6(joon. Where is the period the greates( ;y(6w of/t.8jigjhzd nu*pm t?

  Increasing the spring constant k of a mass-and-spring system causes whah)0al qd* 7wq4kffxkk:kb0; pt kind of change in the resonant frequency of the system? (Assume no change in the system's ma wkqa q4bx hff0);p 0*7lkkk:dss m.)

  Increasing the mass M of xcw 7rhp+y z6pc5;pm 2a mass-and-spring system causes what kind of change in the resonant frequency of thzc w6y ;phxp+mrc5 p27e system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-scujoi-ecknl ok t,o6:c)5 m5;pring system causes what kind of change in the rjtlcm kk n oc-,;)65:uo eo5ciesonant frequency 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 mas7yzk7 b2nx610g( wurkap rk o-s M attached to a weightless string of length L. For this system, when undergw2r xkg7bkk 7a-z 16pyro 0(nuoing small oscillations

  When the mass of a simple pendulum is tripled, the time requiredztzyj)7;lb w1u i u7/t for one complett)771jl;/i zub yt zuwe vibration

  Both pendulum A and B are 3.0 m 2g7x.v:wdcs blong. The period of A is T. Pendulum A is twice as heavy as pendulum B. What is the period of B?d:sgbcx.w 27v

  When the length of a simple pendulum is tripled, the time fo6 , mq*6;u soxvy*lg+copr*mv)yb6(um;cu h m r one complete vibration increases by a fax*vo6uh urob6;c+*, )ym ;g mm(u mqlyc6p*vsctor of

  What happens to a simple pendulum's frequency if both , p: kzs)oga/bits length and mass are incb :zk,o a)s/gpreased?

  Simple pendulum A swings g.xj yq7qlx*1j/ cfe6 back and forth at twice the frequency of simple pendulum B. Which statement is corre *7qex6x.gy j/1clf jqct?

  If you take a given pendulum to the Moon, where the accelerh5fkvu; m)l e6ation of gravity is less than ov;e 5mh )f6klun Earth, the resonant frequency of the pendulum will

  Curve A in Fig. 11-1 representsk.8whmtg v) gk p:ff9ddw,1 ts)jap3 /

  Curve B in Fig. 11-11qj(m0a jm19lccih0d represents

  Curve C in Fig. 11-1 repres+8s l;wetmu7x 7p5iqnt q, x5kents

  For a forced vibration, the amplw-cfv84hf-bo q(o5ppitude of vibration is found to depend on the

  In a wave, the maximum displacement of points of the wave from equilibrium i 5 w.jwrl0dk 9u:qf+aas called the jalawkd+ ruw50:9f.qwave's

  The distance between successivee 6 8p )uedwmu.f+jlpzloq 6qs64+g;a crests on a wave is called the wave's

  The number of crests of a wave passing7o1.8 g becy*vfjba 9l a point per unit time is called the wave'1loc7b 89.bfajyg* ves

  For a wave, the frequency times the wavelength ,ih - l/5zqslyis the wave's

  The frequency of a wave increases. What happef 8uub-9ibp 2m//mkfins to the distance between successive crests if the speed remains constant?kb2/ifu 9/8 pufmimb-

  A wave moves on a string with wavelength l and frequency f. A secon/t4j kj-ywu 5.pco tew/4+glud wave on the samwwo -y.j4 5uec/jut+p/ tkgl4e string has wavelength 2l and travels with the same velocity. What is the frequency of the second wave?

  Consider a traveling wave on a string of length L, mass M, andgu-.8 qm* bdpz p-y 4t*b-gxrj tension T. A standing wave is set up. Which of the following is truegbrzy-*gt 4 m8xb-.*d-jppuq ?

  A string of mass m and length L is under tension Tm6i. avo f2vqq9rv/i(. The speed of a wave in the string is v. What will be the speed of a wave in the string if thq6( 2vr i.iqvv/foa9me 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 waetlb fn(h7:5n i m1er/ve in the string is v. What will be the speed of a wan(e f5mbn:th 1eril7/ve 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 tensi7bv ksxe;-r 403as enpon T. The speed of a wave in the string is v. What will be the speed of a wave in the string4re ;x -0 bn3ass7kvpe if the tension is increased to 2T?

  In seismology, the S wave is a transverse wave. As an S wave travels thr*zlliy 9g7lyyu1rg +ya2* qk u bg2+cro8,a8 aough the Earth, the relative motion between the S wavei 72zbar lga ky1o*,lg*c8u ry28gyyaulq +9 + and the particles is

  In seismology, the P wave is a longitudinal wave. As a P wave trav qpex5fv6 g8zn3 y0 wac)k53taxyy52bels through the Earth, the relative motion between the P wave and tv5 0 c q3yzy6xg wefy85kx 532ba)tapnhe particles is

  The intensity of a wafa de m.k7mog,uw(g9* ve is

  A wave pulse traveling to 1x e9szd /26t;yjcuar4s tu1jthe right along a thin cord reaches a discontinuity where the rope becomes thi6 2/drssuc4ux;tjye 9 z1 j1tacker and heavier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pazc w:l)a 7cj/lj /da:f m*v(wqss each other on a string, one is traveling toward the right and the other toward the left. At the point that they alfl* /:qc 7vzwa(jcd)m:/jwoccupy the same region of space at the same time

  Two wave pulses pass each other on a string. The one traveling towaibevxwih6)dn.k2 w :*0yql c. rd 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 ol w e )y.nbh*id2 0k6ivq.x:wcccupy the same region of space at the same time

  Resonance in a system, such as a string fixed at boy7l1 48hjq/.l dophz yth ends, occurs when

  If one doubles the tension in a violin string, the fundamental fr vb*z;zjdu, e)equency of that string will increase by a factejuz *d);,bvzor of

  What is the spring constant of ci19p i3*i vi cd-oy3ov4)j k 6j izdlqb)vh6:a spring that stretches 2.00 cm when a mass of 0.600 kg is suspendcbdijd i*c )3zjlh i6v6o9qv4:3)1o i-p ivy ked from it?

  A mass is attached to a spring of spring constant 60 N/m along a horizo5mo3gdd2yz3pb w4:zy ntal, frictionless surface. The spring is initially 2z:54w 3o zddg yp3bmystretched 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 amplitude?

  A mass is attached to a spring of spring consvvd9nsil4g 7 1tant 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 when it is oscillating. What is 4 d ln9v1igs7vthe period of oscillation?

  A mass is attached to a 7, d,/p.g) -n wpkg/ggvzbnklspring of spring 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 backn/gvz)pdgn,lpkkg . 7b/-, wg to its equilibrium position when it is oscillating. What is the frequency of oscillation?

  A mass on a spring undergoes SHM. It goes through 10 complw9y j m*amx-4hete oscillations in 5.0 s. What i4 m-hw*a9ym jxs the period?

  A mass vibrates back and forth from the free en5t: 5 (gxaglvkm3 b d.r8qqd;nd of an ideal spring of spring constant 20 N/m with an amplitude of 0.30 m. What is th8d dvl( r5tkg5bmqnx; 3a g:.qe kinetic energy of this vibrating mass when it is 0.30 m from its equilibrium position?

  A 0.50-kg mass is attached to a spring of spring consta2f( (h(yl-2uhkm c: eogied,ant 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 total energy 2-mek:dclf o h(h i(ugy (2,eaof the system?

  A mass undergoes SHM with ampli+(v luv( kvvq:tude of 4 cm. The energy is 8.0 J at this time. The mass is cut in half, and the syste+k(vvqlvv (:um 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 spring k97 u-q 7gbdbdof spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed7d -qbk7 dubg9 of 1.5 m/s at the equilibrium position. What is the amplitude of vibration?

  A 0.50-kg mass is attached to a ska7 e)ag-e3c7a2rd 9g:cf8 vx gnady /pring 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/8aenc7 adr-g 2/)ayg3e avcf9gxd:k7s 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 enk:yo4 aa0 1sd:p ro9ded of a horizontal spring of spring constant 50 N/m and set into simple harmor y9k:oe:aps d1 a40odnic 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 spring of 9h7krjn,fm/fxlh 6yle 7 g9(dspring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the totn 7r9fhh 7(,jf ked69y/x mllgal mechanical energy of this system?

  A mass vibrates back and forth from the free end of an ideal spring of springs8 wfx+2v)axje,r 6pw constant 20.0 N/m with an amplitude of 0.250 m. What ispaxe26w,f8rvx)w+j s the maximum kinetic energy of this vibrating mass?

  The mass of a mass-a(nxl +focw:ka j(q5 c -tc8qbg r/k:1lnd-spring system is displaced 10 cm from its equilibrium positio:tl +(lg- 1:5wxak8foqbrn/ cq(k jccn 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 released?

  A 4.0-kg object is attached to a sk2wb us7/dr /kpring of spring constant 10 N/m. The object is disp2b dkrwuk/ 7/slaced by
5.1 cm from the equilibrium position and let go. What is the period of vibration?

  A 4.0-kg object is attk8kryd0p* tj. ached to a spring of spring constant 10 N/m. The object i8.t*pr0kj d kys 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 consat 95qxi:vu1dtant 18 N/m, displaced slightly from its equilibrium position, and released. What is the frequency of itit9qvx d:1a u5s vibration?

  A mass is attached to a ve;q f)gna.3ljr -,bqspring. It oscillates at a frequency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What is the maximum velocity attained by thqrg-l3aeq)nf.b,;v je mass?

  Two masses, A and B, are attached to different4.o4,,zteytd rbgb7 .t sv* ww 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 frequenc o7 ,y.bbt.gtzw,et*4s wr4vd y 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 stret7d8xuwp3rxm( wl j jnt.t2g- -ches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and released j.u x37wt m8lt-rj-2dwng(x pfrom rest. Calculate the period of oscillation.

  A 0.30-kg mass is suspended on a spring. In equ cocpff hx-e *9+k,dc4ilibrium the mass stretches the spring 2.0 cm downward. The mass is then pcc49ko pdfe*,x -c+hfulled 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 tlb96ac-kl qcywi6j3v b s *1*mhe mass stretches the spring 2.0 cm dobv6*lsl*ki63cw1 bm 9 jy qac-wnward. 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 obeys2iy*; rwjkrfev/ve 3+f3h of3 the following position versus time equati* +ffr3vy kf i/ee;3 r23wjovhon:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion ob*z yqw0k:e2fr eys the following position versus time equ:0 eyw*rf2kqz ation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following position versus timw ;vflz0- 4bc y-*een+q2lffwe equ wf+4 -2ve l0lqfwz b;fce*y-nation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the frepw9s kb)2da+ ve end of a spring executes simple harmonic motion according to the equatio2)kdw 9sbva +pn $y = 0.50 \; \sin (18\pi \times t)$ where y is in meters and t is seconds. What is the period of vibration?

A 1.5-kg mass attached to spring 0r(el55o v xv1xch mu 77szx.fwith a force constant of 20.0 N/m oscillates on a horiz uez 5xvcsxoxf0h75(m.7 vl1r ontal, 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 completeti7m vc5jj 9tr xn-zjd 1jc,18 swings in 8.0 s. (a) What are its frequency and per1it,jjj-5 1rm zx 7cn9jtdc8 viod on Earth?

  A 3.00-kg pendulum is 28.84 m long. What is its period zf c( 1hp2a*,fyncy9don Earth?

  A pendulum has a period of 2.0 s on Earth. Whatat4v /j8 3 se(5-s-vjs3lcp.vdkb vsq is its length?

  The pendulum of a grandfar)p36)1ukur0 crki.fo ro bxd0; py6qther clock is 1.0 m long. What is its period on the Eard63k;r) 0uopybkpr c r1)r6. uoqfx0ith?

  The pendulum of a grandfather clock is 1.0 m long. What is its period on the Mly0/f-auk 6s foon where thea 0usfyk-f/ l6 acceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a07mj4ulsti*bt(;4l9 kq cp cg 0.25-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 diametc(9kgs7t ump40;ql *j4tib c ler sphere) had been attached to the string instead?

A simple pendulum consisting of a 20-g mass has initial angular displq1umi, w-o8v xx.p3r lacement of 8.0e. It oscillates with 8liu1p-x., ovmwqxr 3a 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 hlesa a lhf tk)coa(:al0:ns4/0v9k( of the wave is 120 Hz. What is the :k)fs( k sot0ll0l aa:c 9 aeh(4n/vahamplitude?

  Figure 11-2 is a "snapshot" ofs32 phcf,xpxozvrio3b , 2e 54 aw.)pp a wave at a given time. The frequency of the wave i,pae5w4pz.p )32 oshirvpx3f b c,2xo s 120 Hz. What is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a gilf x 2oh*bb3a- (pn4dqven time. The frequency of the wave is 120 Hz. l f-x3(h *oba qnpdb42What is the wave speed?

  What is the frequency of a wave which has a period of uj6j6pd7 tbt(g/;l 9db jctjh m 4-ym6v33qex6.00 ms?

  What is the period of a wave w5jzvq;o5+mjl1b 9 umn ith a frequency of 1500 Hz?

  What is the wave speed if a wave has a frequenex .u47u-8 ux cjr0wcncy of 12 Hz and a wavelength of 3.0 m?.7ru0-xncu4 c8e juxw

  What is the velocity of a wave that has a wavelength of 3.0 3pf+kbi3ym 0.m0dndq sb 3,fzm and a frequency of 12 Hz?p3zqfd,m00 .f+ imyk3dn bs 3b

  What is the frequencyn*wq+ 0ph 8coh of a 2.5 m wave traveling at 1400 m/s?

  A piano string of linear mass density 0h9*los.t fdz/p6rn z r0qpxn/ +u3ka7.0050 kg/m is under a tension of 1350 N. a dp k/6/s90+*uf n3.7nz htqozpxlrr What is the wave speed?

  A string of linear density 6.0 g/m is under a temy0 ,nw0w zos1nsion of 180 N. What is the velocity of propagation of transverse waves along mw, s0w01znoy the string?

A wave whose waveleno7;6 kvt*wvl jgth is 0.500 m is traveling down a 500 m long wire whose tot;lo 6*wvjk7vt al 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 2.0g 1px ;vm: n8)mr a5cst*)d+5n glhpgx-m long string fixed at both ends is 200 m/s. Which one of the following is not a resonant fret5 g 1r+xcns g85nxmmld;a* vp))g:p hquency of this string?

  If a guitar string has a fundamental frequency of 500 Hz, which os qbwb 15j3nze7,kv4m ep- lv*ne of the following frequencies can s3emz ,v74ns1qblp*- jwkb5 e vet the string into resonant vibration?

  A stretched string is observed to have four equal segments in a standind-k ,5mn4:osej91am,pu ld isg wave driven at a frequency of 480 Hz. What driving frequency ad4nsj d5pl-i,1 ,e s:mmo u9kwill set up a standing wave with five equal segments?

  A string, fixed at both ends, vibrates at a frequency og r rl1z4yz3g2mcs:ze(cj,r 1f 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency is needed if the standing wave pattern is to31j241g c(zzs gm er:,czry lr contain 4 loops?

  A string of linear dens;v3w:p7 pmqvs ity 1.5 g/m is under a tension of 20 N. What should its length be if its fundamental resonan7wpv:3;qv m spce frequency is 220 Hz?

  Find the first three harmonics ofq ewheg1o(mxh7pr7 r9)1u y7*cy eq7g a string of linear mass density 2.00 g/m and length 0)eew7 1*9qcgr7y(pxq oyhguhr7m e7 1.600 m when it is subjected to tension of 50.0 N.

A string of length 2.5 m is fixed at botilhfcvr 1773wh ends. When the string vibrates at a frequency of 85 Hz, a standing wave with five loopsvwr7 i 3flch17 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.