The time for one cycle of a periodic proce:auor 4b)5w+ggxvez-ss is called the

  For a periodic process, the numblm u 9t-he5e6mt;f2or er of cycles per unit time is called the

  For vibrational motion, the,-d6 au glny)xef *3ct maximum displacement from the equilibrium point is called fgy l d6xtne*-ca)u,3 the

  A mass on a spring undergoes SHM. When the mass is at its maximum dis8( tqdkvx+r qo5y7. hsplacement from equilibris(qr.oy k qhv+785txdum, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass p a +yc*mn+knl7asses through the equilibrium position, its instantaneous vekn+l na 7+ym*clocity

  A mass on a spring undergoes Swc(-( 4 heg:io3y-l s9ty mlbnHM. When the mass is at maximum displacement from equilibrium, its instantaneous acceleratio4 l9-(yms bg:il(w oyhn3ec -tn

  A mass is attached to a vertical spribip0)qc/o 6 dyzn19gcfoi 3g+4rlh m6ng and bobs up and down between points A and B. g dyb poh639ril0g6qic 1mo/fz4) nc+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 bkr6 cl3g+ /txxetween points A and B. Where is the mass located when ic/k rlgx3x 6+tts kinetic energy is a maximum?

  A mass is attached to a vertical spring and bob2eee :et7k-m ds up and down between points A and B. Where is the mass located when its potential en-e2eek7t d:e mergy is a minimum?

  A mass is attached to a vertical spring and bobs up and down between points A ac nkfnk 86ce2nxy1d7;nd B. Where is the mass located when its potential energy is a maximuefn;nck86x 2n17 kycd m?

  Doubling only the amplitude of a vibrating mass-and-spring ; pqsg xns9y6qrz934e system produces what effect on the system's mechanicarg ns94 qq6px39e;yzs l energy?

  Doubling only the mass of a vibrating m/rtz 6jjhn3ojo1jl g;0f :cu8 .,lsir ass-and-spring system produces what effect on the system's,1ro g/iz;jrlohjft 0cn3 .6sj 8l:uj mechanical energy?

  Doubling only the sp.c v+yhih3, 5/uz1ikjkhis7iring constant of a vibrating mass-and-spring system produces what effect on the system's mechanical eneriik, z1 3+h/ijhu 7yi ch.5kvsgy?

  A mass oscillates on the end of a spriha/hvk)/gf j ; uywi30m 4e7ctng, both on Earth and on the Moon. Where is the period the greatest ve)/ h7jhak0g3fi t4c;wumy/?

  Increasing the spring constant k ofptb djlb;frw1v,b4k/t.szr( 5 rcg+ 3 a mass-and-spring system causes what kind of change in the resonant frequency of the system? (Assume no change in the spk/t r;3 j5b,g4 wl.dtv1s brf+ (brzcystem's mass m.)

  Increasing the mass M of a mass-and-spring system causes what kind of change1goehm t79fs1 f5i qww7ji:o3 in the resonant frequency of the system? (Assume no change in the system's sp3:f711w gse5m7i t9qofiohj w ring constant k.)

  Increasing the amplitude of a mass-and-spring system causes whatt*r 1tc2uut0jz,ui tx e+fd ,; kind of change in the resonad,, +t j0tectu;zfui*u 2 txr1nt 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 consi92ntljq. .-zbvabtz9 z 8+ jqdsts of a mass M attached to a weightless string of length L. For this system zlzv99qj8t . ba2.+n bt-djqz, when undergoing small oscillations

  When the mass of a simple pendulum is tripled, the time required for );clytf) tcv0 8l a:jlone complete vt;a lt 0lv:l jcc)yf8)ibration

  Both pendulum A and B4k ok:on0 ;pctp5kit- are 3.0 m long. The period of A is T. Pendulum A is twice as heavy as pendulum B. What is t;n i:tpp-k 4ko0oc5 kthe period of B?

  When the length of a simza1) g1;h2o7dnk,iz k5tqril ple pendulum is tripled, the time for one complete vibration increases by a factoz,g1rno2qkizia 5;7k1 t hdl) r of

  What happens to a simple pendulum's frequency if both its l b7yd,lfujf0 /gt5q 6oength and mass are increase djt0qu o7f,f6gl5y/bd?

  Simple pendulum A swings back and forth at twice the frequency of sito 8;3o m7 tb*z(nwes:e5flvvmple pendulum B. Which sfesz;toob5v3wet l7v:8 *(mntatement is correct?

  If you take a given pendulum to thebeckqo 2 -) ;7bkon f**v6m6e xmw8i7zh,wxd m Moon, where the acceleration of gravity is less than on Emnhx)6q ob*78 xw kefb- ivmw; ,2koz*ecm6 d7arth, the resonant frequency of the pendulum will

  Curve A in Fig. 11-1 remi p q*8wyuv9jv 5m4a7presents

  Curve B in Fig. 11-1 representsgzmu,34cld:1y/w6 w e/zt pujkzguvb:q(28w

  Curve C in Fig. 11-1 ref pp;it wk(3askp e+40presents

  For a forced vibration, the 4ta 5qio,.h;s o k;b0ttzdaq 7amplitude of vibration is found to depend on the

  In a wave, the maximum displacement of points of th ya-+wuj2 2szzcr0 xd3wc d)7ad43 upre wave from equilibrium is called the wavcy) s23p uzx wdz 7d3-2+4acdujarrw 0e's

  The distance between successive ck9w4zuk oov93.d ragceh+4 u)rests on a wave is called the wave's

  The number of crests of a wave rw 59;6luvphs passing a point per unit time is called the wave'w 9ru6vhsl p5;s

  For a wave, the frequency 3q2+j tdvsw ;atimes the wavelength is the wave's

  The frequency of a wave increases. What happens tfe c)hzy8nd*fcnazvud.+ 06s8 7s3 81e fxzuco the distance between successive crests i zuscxfn*z nd+)6sceavcfy30 f 88 dzh8.1u7ef the speed remains constant?

  A wave moves on a string with wavelength l and frequency f. A second wave onn45) p7hyfpv)jh9cmb8 m 4 jqf the same stripp bnm5vh4 8)ch fy9 j)4mjfq7ng has wavelength 2l and travels with the same velocity. What is the frequency of the second wave?

  Consider a traveling wave on lt0hv 4zc )i1qa string of length L, mass M, and tension T. A standing wave is set up. Which of the following vtcqh)4l 10izis true?

  A string of mass m and length L is under tension T. The speed of a f9dn *zp6 kr0kwave in the str 9kdnr 06kpzf*ing 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 lengzf0 u bv+ p15x(ydoiw;5 fgj;ith 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 length is increased to 2L,udz ox1;y;pbfw(ivi 0j5 g+5f with no change in mass?

  A string of mass m and length L is under rfql)/cn 7 .dwxsgd6 1bcp :faj;3kw.tension T. The speed of a wave in the stw. .dk/wg:sfd7r;b3xanjc 1 q lfp6c) ring is v. What will be the speed of a wave in the string if the tension is increased to 2T?

  In seismology, the S wave is a transverse wave. As an S wavgk(zq4is ;ast ;j*6qle travels through the ;iz*ss 6l;tqg jk( q4aEarth, the relative motion between the S wave and the particles is

  In seismology, the P wave is a lmtss; 9n+.np;--6kqmlbsygo,v fjac jxz)1 8 ongitudinal wave. As a P wave travels through the Earth, the rlv+- bzakpc q-sxfg896ns ) 1o my;.nmj;t,sjelative motion between the P wave and the particles is

  The intensity of a wave isamyj)7fn0;k j 9bx*sxwdo /t1

  A wave pulse traveling to the right along a thin cord reachesoh co+2x q eb*rtaw,)- a discontinuity where the rope becomes t )roeb,+ax2qc to -w*hhicker 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, one-kkd 7lac qzq m8pe4nus)r6/* is traveling toward the right and the other toward the left. At the point that they occupy the same region of sp8mk k c76qqednul)s4r /p*az-ace at the same time

  Two wave pulses pass)0u, )a c,bjpu cr a,w6b,yidk each other 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 tc , ,)baa)u6,d ,kjbyu i0crpwhe negative direction. At the point that they occupy the same region of space at the same time

  Resonance in a system,0-yj7ea,qcm9 cmx8gw t e m*)m such as a string fixed at both ends, occurs when

  If one doubles the tension in a violin string, the fundamental freqw:b g;/9teu,ytjun;lmh eao-r y 0*n ,uency of that strinyn e,tot, ;y/9;g bau *un0-:mlhe rwjg will increase by a factor of

  What is the spring constant of a spring that stretches 2.d -dtps (gfp1600 cm when a mass of 0.600 kg is suspended frs pt-1p(gd6 dfom it?

  A mass is attached to a spring of spring 3gokqd b.t )e 3vq-j0tconstant 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 the amvd 0 -geqtj. q3bko)t3plitude?

  A mass is attached to a spring of spring constant 60 ar(*ukwg 9).r) hycgg 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 the period of ggu(akwr *)gcr y )h.9oscillation?

  A mass is attached to a spring of spring co/wgjde, rlhk k.w+w14 nstant 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 tokh wrl4,g/+dj wk 1w.e its equilibrium position when it is oscillating. What is the frequency of oscillation?

  A mass on a spring undergoes SHM. It goes through 10 complebho k, p(-f 8irw8o+vete oscillations in 5.0 s. What is the perwo,bp -8ik o+r(vf8eh iod?

  A mass vibrates back and forth fro5:bip/q +s+ yz m5t6zd rnng(em 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 0.30 m from its equ qb+5ndn/esm zr5t+pi y:6(z gilibrium position?

  A 0.50-kg mass is attached to a spring of spring constan2n9a8/xom *paqlv -zs.ar r i)t 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 of the system.naq pa-l2/orz9x *i mva) 8rs?

  A mass undergoes SHM with amplitude of 4 cm. The energy is 8.02ls :l 5ew*xn kgfm-+jr ihe9- J at this time. The masskj:5w2x-9+mr gseen lf-*lhi is 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 spring of sprinhdyc;t 2 o qe4e7u(u)eg 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 equilibrihe(tcq;ud eyu72) o 4eum position. What is the amplitude of vibration?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m along a ht5(g( eb5d noy9pk/ tiorizontal, frictionb5eik oy /(gn5(d t9ptless 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 horizontal spring of spring constant 0. cw7zc.)vkk .,dxz ml )jkn1wk,do j50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the tc nk..o,.1kwjkxlw,jc7) z0)m dvzdkotal mechanical energy of this system?

  A 2.0-kg mass is attached to the end of a horizontal spring of spring con/ncgp-u bitxjcxmui- z 19::.stant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the total mechanic muczixnjcxt: .9 p--/ b1u:gial energy of this system?

  A mass vibrates back and forth from the free end vkxgjcf ay*sjn,hi ,4f4(/y6 of an ideal spring of spring consc/ yji6vxh4fs ajf(4k,, nyg*tant 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 dul9cua,+z )05bci z zxisplaced 10 cm from its equilibrium position and released. A frequency of 4.0 Hz is observed. What frequency would be observed if the mass had been displaced only 5.0 c,zc ulx5+zz)0 9uacibm and then released?

  A 4.0-kg object is attached to a spring of spring constant 10ez;,u4wf1r ex8mls k 0 N/m. The object is ;meszr ku8e4xwf1, 0ldisplaced by
5.1 cm from the equilibrium position and let go. What is the period of vibration?

  A 4.0-kg object is attached t) lgnyi*odw (v;5rmjx o+np--o a spring of spring constant 10 N/m. The object is displaced gi(v*;odp lnorwnx+ym--j5 )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, d:ea, cwsfal5m ( 5wi+pq9k, kj0zq(r yisplaced slightly fr ai kfmr0z(5q,qsw j(+9cyla5wepk: ,om its equilibrium position, and released. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequency of 1.27 s2vkuzwr .d;ix5e :p3Hz when displaced a distance o5epr u;w xkz3i2ds:v.f 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 springs. Mass +67o0x7rcbb;,t x7eid/gr ko oh- wbiA 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 oxrgdh b770c /ie,rtob o+o ikbw ;67-xf 16 Hz. How does the maximum speed of A compare to the maximum speed of B?

  A 0.30-kg mass is suspended o4eiuvr :b6c e;n a spring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an addit4b 6uirc;ee v:ional distance of 1.0 cm down and released from rest. Calculate the period of oscillation.

  A 0.30-kg mass is suspepo5 gf:ac3sa5 )0k hclnded on a spring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass iac h5:5fcas )30lgpo ks then 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 onkaqf(fe)a. / k a spring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance ()ae fka/kf.qof 1.0 cm down and released from rest. Write down its equation of motion.

  An object in simple harmonic motion obeys the following position versus timefe/k.sw0m v:p oxl3ba8 hf.: c equatie3p xs/80h :b.c: mkl.o fafwvon:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following position versus ld,7vhnk*ik9 time equ7k, 9v hni*ldkation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple hac7g xo1h,. xoormonic motion obeys the following position versus time equath7xx 1o,.go ocion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the opr65+zgyl .ffree end of a spring executes simple harmonic motion according to the equat6.f+yol p r5zgion $y = 0.50 \; \sin (18\pi \times t)$ 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 oscillates ,2-fcgl4k jim7jf rvj 0uw)u, on 0mg7ujkcjwjiv2 fru ,)f4 ,l- 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 10.00 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 i(u1ijxp g)4aw ,lehx. n 8.0 s. (a) What are its frequency and period o(.1gh) pjae 4u, lixxwn Earth?

  A 3.00-kg pendulum is 28.84 m long. What is q6i:n9vb-cof its period on Earth?

  A pendulum has a period of 2.0 s on Earth. What is its le pfx 3)g;wqp r,8*ablvngth?

  The pendulum of a grandfather clock is 1.0 m long. What is its period on the Ea5 x(n dg.a ob2(gqv)emrt2og vm bnqe (g)a(dx5.h?

  The pendulum of a grandfather clock is 1 d *;t5o8jh7fec zdm7e.0 m long. What is its period on the Moon where the acceomcddhj87 * 5ze7tfe; leration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of bnd x9 i6m 9mcf0.b3xuar :dg/a 0.25-kg spherical mass attached to a massless string. Whemb m fg9:r9 a/0dxnd b.u6ix3cn 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 to the string instead?

A simple pendulum consisting of a 20-g mass has initial angular displaqtq:9(p6nwqy.r :gej cement of 8.0e. It wpeqqr6(q gjt9 :. ny: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 ayzis9cs(-s gw sn59s/0oms6h given time. The frequency of the wave 6osiz ss(y95ssnh s0wg9mc/-is 120 Hz. What is the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a givsooqi;xl)(el*l ; c*oen time. The frequency of the wave is xlo*o* ;)c l(;oeqi sl120 Hz. What is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given timetq68hgsx1o2 hjsh ,0bn )s is0. The frequency of the wave is 120 Hz. What isi nj8tsh0bo1sx )06hs2,h sqg the wave speed?

  What is the frequency of a wave whi4pgs9me +hsc(k:8:ky c x lol-ch has a period of 6.00 ms?

  What is the period of a wave with;bx r * vg)axknl3-4ng a frequency of 1500 Hz?

  What is the wave spee)u sku:+hjh: rd if a wave has a frequency of 12 Hz and a wavelength of 3.0 m? h)j huuks:+:r

  What is the velocity of a wave that has a wavelength of 3.0 m and a 9-cznydq1z 1 lfrequency of19ndq y1zcz-l 12 Hz?

  What is the frequency o1 m)7n schi b)unm3tm-f a 2.5 m wave traveling at 1400 m/s?

  A piano string of lin5t ur6n 9lfbt* *2imqkear mass density 0.0050 kg/m is under a tension of 1350 N. What is the wave rt2t95kmu n*f* 6lqbispeed?

  A string of linear density 6.0 g/m is under a tension of 1aidl )kf9h uwo)w a)y;g136fn,b p4zu80 N. What is the velocity of propagation of transverse waves along thewwz4 gd9 al3uou,p) ) fi6y hnk);f1ba string?

A wave whose wavelength is 0.500 m is traveling down a 500 m d mkp;m2o*/wh(7 enq xlong wire whose total mass isk hmdq7 pem/2(x;wno*
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-m5i e6 zl1l.xzkj3bn 9d long string fixed at both ends is 200 m/s. Which one of the following is not a resonant frequency of this strinz d3jk56bzxe.nill1 9 g?

  If a guitar string has a fundamental frequency of 500 e cld;-9p-tl2 wyzxa) Hz, which one of the following frequcy;l z w xpd9te)al2--encies can set the string into resonant vibration?

  A stretched string im)rqaj h2;e) pj9 mbsvh5pt 65v8,rlys observed to have four equal segments in a standing wave driven at a frequency of 480 Hz. What driving frequency will smj2hvqe ,)sytm ;9arp5 l h rp6bv8)j5et up a standing wave with five equal segments?

  A string, fixed at both ends, vibrates at a ymg j c9a*h e9bmy5,j9 hi/j)efrequency of 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency iba ,j j i*gh /599me)yecmjh9ys needed if the standing wave pattern is to contain 4 loops?

  A string of linear densitl gn vbr:loq(*/17jqay 1.5 g/m is under a tension of 20 N. What should its length be if its fundamental resonance frequenc/bjaq(7*qogn v lrl1: y is 220 Hz?

  Find the first three harmonics of a stringuryc i2 od64fnqak 5;i.+ u-xln mgl40 of linear mass density 2.00 g/m and length 0.600 m when itxl04d k4;-nimgl.5o a6ifq+u 2 ruc yn is subjected to tension of 50.0 N.

A string of length 2.5a+1 j(9s6esd9a i0adis z /oeb m is fixed at both ends. When the string vibrates at a frequencyd9/ bz1 os6aadse9(0i ie sj+a of 85 Hz, a standing 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.