The time for one cycle of a periodic procesoo-4b, )o b2fl uj(pdvs is called the

  For a periodic process, the number of cycles per uni 0a/u8 amyk/bet time is called the

  For vibrational motion, the maximum displacement from the equilibrium point 8loy* g(arvo ; r( v1fhq-v/stis cal qv fv;gosort *a/h1(l -8yrv(led the

  A mass on a spring undergoes SHM. (gqemwhnh - v:f2yn9* When the mass is at its maximum displacement from equilibrium, its instantanemhvh(w y9-f *qnn :g2eous velocity

  A mass on a spring undergoes SHM. When th3jmx6lyr79t t e mass passes through the equilibrium positiyx7 ltm 3j9t6ron, its instantaneous velocity

  A mass on a spring undergoes SHM. When t2: 7wh 3pcvarihe mass is at maximum displacement from eqc7r3hw av2 p:iuilibrium, its instantaneous acceleration

  A mass is attached to a jm 8 jmhip+v2s 0e8/wzvertical spring and bobs up and down between points A and B. Where is the mass l+v80 jei8zms hmp2wj/ ocated when its kinetic energy is a minimum?

  A mass is attached to a vertical s oymmcj4xhp8de5 v+*6pring and bobs up and down between points A and B. Where is the mass located when itmd cxh8yv5 em4jp o+6*s kinetic energy is a maximum?

  A mass is attached to a vertical yult1lu33q8 . ,s kw a5ci4blflvhh(4spring and bobs up and down between points A and B. Where is the mass located when its potential energy is a wlb5lvquclsf1htui44 yk . a8( ,33lh minimum?

  A mass is attached to a vertical spring and bobs up and dow-:w p fe;.jiton between points A and B.;oje f-wp.t i: Where is the mass located when its potential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-spring system produces what ac8uo1uhz-k- effect on the system's mechani1 c8zok -huua-cal energy?

  Doubling only the mass of a vibrating mass-and-spring system produce ul(;w0ret+b zs what effect on the system's mechanical energy?(;r+eb0 u wlzt

  Doubling only the spring constffy82u9omaf (ant of a vibrating mass-and-spring system produces what uyf(maof92 8feffect on the system's mechanical energy?

  A mass oscillates on the end of a spring, both on Earth aluc d16sut0 pxz2k+1tnd on the Moon. Where is the period1z kptl 61 udx2+stu0c the greatest?

  Increasing the spring constant k of a hds8 7pe6kv 9zmass-and-spring system causes what kind of change i 7hzpds98e6k vn the resonant frequency of the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mat102xnliyg*q ss-and-spring system causes what kind of change in the resonant frequency of the system? (Assume no change in * i qyx1lng0t2the system's spring constant k.)

  Increasing the amplitude of a ma g2- uh()z,mqkqs2qbnss-and-spring system causes what kind of change in th,)b2uqsz( 2 qnkq-mghe resonant 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 mass M attached to a weightless ou1p v+ po.8c48+s,nsn uvzu wstring of length L. For this system, when undergoing smao 48wv+sp 8 .us,1u+uovncz pnll oscillations

  When the mass of a simple pendulum is tripled, the time required for 4r66xf nb p(jnone complete vibrf x(b6jp6rn4 nation

  Both pendulum A and B are 3.0 m long. The period of A is T. 7 -hoh8dutj(r n*cvi- Pendulum A is twice as heavy as pendulum B. What i cn-7ruthjoh8di(v -*s the period of B?

  When the length of a simdm 7um6 w a+c,hnk6la-n;fcw;ple pendulum is tripled, the time for one complete vibration increasesum6d-+a;ckw waf6nm nh ;c,l 7 by a factor of

  What happens to a simple pendulum's frequency if both its lef;x-un f.eu a zvgm-m3m5m58 angth and mass are in58emnv mzmxfu u-;f5g3a - m.acreased?

  Simple pendulum A swings back and forth at twice the frequency of sim tbi, 8njhts j:kqz0:qv3z: h-ple pendulum 8vk qz,hj0 qit3:s :bjz -hnt:B. Which statement is correct?

  If you take a given pendulum to the Moon, where the acceleration of lrhh fu7c9ko5bvi;3 fa-t2 ( tgravity is less than on Effurtc7a2til -;k35b9h v oh(arth, the resonant frequency of the pendulum will

  Curve A in Fig. 11-1 represen-n kmq1b x2r,qts

  Curve B in Fig. 11-1 represen:.+p17 lv0-zpa)0wl udjswxzpe3. *lu e gdfets

  Curve C in Fig. 11-1 represenug7*+p6pxgcjomxpm j() ea4 xng, +k :ts

  For a forced vibration, the amplitude of vibration is found to depend on zbt )pwp8)c03(h r edrdpl6fl*qwh(ni:: 0gi the

  In a wave, the maximum displacement of points of5r2wc: 4; e 5ugnnweov the wave from equilibrium is called the wav55g or2vneu;n4e: wwc e's

  The distance between successive crests on a wave is called the wa:plzo 69 +aaqi n9ae ;3qn,zysve's

  The number of crests of a wave passing a point per-ge*la )mb:/1pa+ nwsqs4;ql va*run unit time is called the wave's*v1-/:)mb4argelsn qq *an+al; swp u

  For a wave, the frequency timew *-)hy t;bgset6 krd3kqzq6,s the wavelength is the wave's

  The frequency of a wave increases. What hapu uw/92mjqw )mpens to the distance between successive crests ifmj u)wm2wqu 9/ the speed remains constant?

  A wave moves on a strinyz-fft c40(k ag with wavelength l and frequency f. A second wave on the same string has watyzcf k0( 4fa-velength 2l and travels with the same velocity. What is the frequency of the second wave?

  Consider a traveling wave on a stri/ p(ugdoz77v mxj5n c 1;vw szq+mz**sng of length L, mass M, and tension T. A standinomq(/ w+ ;**v7upnjz57sx1g cmzzv ds g wave is set up. Which of the following is true?

  A string of mass m and length L is under tension T. Tat0p+biw + qa4he speed of a wave in the string is v. What will be the speed of a wave in the string if the mass of the string is+apiq4t 0+ awb increased to 2m, with no change in length?

  A string of mass m and length L is under tension T. The speed of a wav/n1kyg (vd)4( do -tyvi 0s4njd:swfye in the string is v. What will be js- y/tod4sk4v d(idy( :g0)ywvf n 1nthe speed of a wave 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 tension T. The speed of a wave in theu q qrzoh798svqd434 e string is v. What will be the speed of a wave 3shed4q7 zrquv9 o4q8in the string if the tension is increased to 2T?

  In seismology, the S wave is a trans47)fsxkkvqt,-na 30xntqmk 2 q,2yciverse wave. As an S wave travels through the Earth, the relative motion between the S wa4tysk2cqn m)-nvaqxik ,t7q3f0 ,x2kve and the particles is

  In seismology, the P wave is a longitudinal wc*,eic s 3+,z1j aupndave. As a P wave travels through the Earth, the cc *,enza1p,sjd+i3u relative motion between the P wave and the particles is

  The intensity of a wav (ihd nx()t:; gk2qlpfe is

  A wave pulse traveling to the right along a thin cord reaches a discontinu3t4qgexl)y 7 vity where the rope becomes thicker and heavier. What is the orientation of the refv 73g yxteq)4llected and transmitted pulses?

  Two wave pulses with equal positive amplitud 0;xo4g8dcksqes pass each 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 a4g;ds80c q oxkt the same time

  Two wave pulses pass each other on a string. Thcypp:x3ipn a859y)r d 0ccz a7e 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 t8d pn9c5iya0ary:pcp)xcz 7 3hey occupy the same region of space at the same time

  Resonance in a system, such as 3 swj1+kw 8ema ink *bcbqzy9,d6 7(nka string fixed at both ends, occurs when

  If one doubles the tension in a ouh m(oam,n39violin string, the fundamental frequency of that string will increase by a facam h9oumn o(,3tor of

  What is the spring constant of a springc*ilzne gpmrwk-2g7r0w,e1. y l 0kg, that stretches 2.00 cm when a mass of 0.600 kg is suspended 1z0grw7kln li0reggec-p ky mw2*.,,from it?

  A mass is attached to a spring of s4s9myr4 df sa v9oa;uj3b.f6kpring 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 when it is oscillating. Whats4 ba4o k3;f69v.a rjsu ymfd9 is the amplitude?

  A mass is attached to a spring of spring constant 60 N/m along a horiz*q5x/ 0cxgfsvq m efaz 5e9z8,ontal, frictionless surface. The spring is initially stretched by a forxgq/s fx 9m0ecevaf 55z,8q*z ce 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 oscillation?

  A mass is attached to a spring of spring n1.n1 wss 2qlg s(yi;aconstant 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. ys1l ns; g.a( is21qnw What is the frequency of oscillation?

  A mass on a spring undergoes SHM. It goes through 10 complete oscffvq(d*a7 - e5 ;ydj3+jcxc+xbzu) 6h8 yjm aoillations in 5.0 s. What i8 c(5xq b 7jyoavfj+ayc3 mu)6h;-jz +xddfe *s the period?

  A mass vibrates back and forth from the -qrn*a hhl (s.ne,ir 3free end of an ideal spring of spring constant 20 N/m with an amplitude of 0.30 m. Whatl*3,s(r qrih.- ne hna is the 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 spsrw miv0.w; h(yt(2oq ring of spring constant 20 N/m along a horizontal, friction2m (iwrq ot.vsy (w;0hless 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?

  A mass undergoes SHM with awnfa/2-r80gp5t m beeat yu lk2y75p;mplitude 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 is8we2 g-pna/f a;y 2 t ke7upb55t0mlyr the energy of the system now?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m al d,5j 2nt7gkt5d ,zok7dy9yu vong a horizontal, frictionless surface. The object oscillates77k9odt5kdzyvj,2,5g nuy td in simple harmonic 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 zvxt;v6g 8t 6 qt39 h8)dkiujbg 8hp*bspring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed gptg d3x*kb6iqth)hj8vt9v6 z8 8ub ; 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 v)ut nxh.1utn6a3*c,g k) cnmspring of spring constant 50 N/m and set into simple harmonxt3gau )6c c um,n)*n th.kv1nic motion with an amplitude of 0.10 m. What is the total mechanical energy of this system?

  A 2.0-kg mass is attachkmmfx4m 1)c i(ed to the end of a horizontal spring of spring constant 50 N/m and set into simple harmonic motion with an ammmcx(4fkm) 1i plitude 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 spmf-3sr6,ntiquy 4 +u rring of spring constant 20. u6uqf ys,+ 4-tni3rmr0 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 displaced 10 cm from its equilibrium pefz*br417 rw3rgo k vzyy4m( .osition and rg rz43v.ef1 yy mokr7 w4b*(rzeleased. 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 spring of sms/gk xp9jd(*5 nf4d vpring constant 10 N/m. The object is displ dxp(sg95/m4jkdvfn *aced 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 objs. 8lumpq1 z;igd;9x*u* ,dw 8shuoxo ect is dixsdoq9uxu8sh8uw p * .dg;l1,z *i;mosplaced 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/ :l+-rcus+lkib w)ahf ,3dvf ed slightly from its equilibrium position, and released. What is the f b+cr-awl3fls/vdf:ki)h,+ urequency of its vibration?

  A mass is attached to a spring. It oscillates at ut p( 6yf4v*lpg/ 8kdjt hg*u0a frequency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What is tv*t( gt0d4pu6/*fkp y8u jghlhe maximum velocity attained by the mass?

  Two masses, A and B, are g;u sbas k+/m5attached to different 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. How dog uk;bs /5am+ses the maximum speed of A compare to the maximum speed of B?

  A 0.30-kg mass is suspended on a spring.kfgx2befawxx8y 46 : sqd1vh fr:ltg+i )4 0n1 In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an addit4w2fri1ybxd q:vf046e1h nx) gs8g fa l+kt:xional 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 equilibrium1a ;zv 3 c oq.fvjcv-tu5t84 qbi0f+hh the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.jtf i5hft u+cqhv oa34q-zv8.0;1 vcb 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 the mass stretches t1y+ msq. :n.xzch qg7ehe spring 2.0 cm downward. The mass is then pulled an additional disthsez.nx .m+cy:q1qg7 ance of 1.0 cm down and released from rest. Write down its equation of motion.

  An object in simple harmonic motion g: n8 ;3a9lc-p-easd17chhc vpstt9c obeys the following position versus time equ7 lsthhnd: -3etgc9 aac 8s 1p9c;cp-vation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following position versus tim7,zoco.k *mg;reapck s-dpi4(o 6v 0ne equatiokc pgs ko7z6p*.v4, rnemdoc (-;0i aon:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following ptbm41kp k4ke- osition versus time equatiome1b-kkkp4t 4n:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simpl3r 8n/1hdjy nle harmonic motion according to the equat/8 y lr3dnn1jhion $y = 0.50 \; \sin (18\pi \times t)$ 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- 3e0rmfxp. dg 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, t 0 3mergf-pdx.he 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 completbsyn/o7b927w v kl+e pa9b1jje swings in 8.0 s. (a) What are its frequency and period on Earth? b vs29pa jk/9o7n+lbj bwy1e7

  A 3.00-kg pendulum is 28.84 m long. What is its period on Earth?p1m o/6ua)*bqrxsf72z lu 9p t

  A pendulum has a period of 2.0 s on Earth:c wje)0s +pot. What is its length?

  The pendulum of a grandfather clock is 1.0 m long. What is its period+azg+ rg/l8)w wk;8j.dr ypnz on the Eap8 g8l+ ndk;yz/ arwr+)z.g jwrth?

  The pendulum of a grandfather clo*. yw v4 rsiah2nk*9*pqxbqq+ck is 1.0 m long. What is its period on the Moon where the acceleration due to gravity is onlq+wsa29k*4.by viqhr np*x*q y $1.7 \; m/s^2$?

  A simple pendulum consists of a ) 9v a3muus)lq0.25-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 smqua3lu)9v )frequency would have resulted if a 0.50-kg mass (same diameter sphere) had been attached to the string instead?

A simple pendulum consistjch,,ga7 tt1x36knm np d41mb,b0 tqaing of a 20-g mass has initial angular displacement of 8.0e. It oscillates with a period of 3.00 bcmt,h0b1p6 jan31 , x tn,7tdk gamq4s.
(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. Th g;zx) p:.dbn9o pyuteca )+9be frequency of the wave is 120 Hz. W gbp 9:b9)ztax)n.ec+opu dy;hat is the amplitude?

  Figure 11-2 is a "snapshot" of a wavx(g i , - tko/dd8nfb nme6k:9tyrs:v6e at a given time. The frequency of the wave is 12/t6m:y9bn6fedvd i k,8:tg xrs kn(-o0 Hz. What is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given time. The a/ue:+vfn cf(dcmx41r 7sih 4 frequency of the wave is 120 Hzr/sa fc:4e47div+cn1 hxf(mu . What is the wave speed?

  What is the frequency of a wave which has a period im77d ,iny* ;1 vuf(jme;wsz*haxd) d of 6.00 ms?

  What is the period of a wave with a frequency of 1500s8*edkb9 /(eywt/lht 4jx b t, Hz?

  What is the wave speed if a wave has a fre 8pcn4p+i g s c0wjkp374z9npgquency of 12 Hz and a wavelength of 3.0 m? p9 4npwggn3ps+z8k7c04c jpi

  What is the velocity of a wave vpo2mb5(d j i+ w 5/i7id/ rpelj/;qeothat has a wavelength of 3.0 m and a frequency of 12 Hd ldir(ei2i7oow5jjeq/pb ; v+5mp//z?

  What is the frequency of a 2.5 m wave traveling at 1400 m22*es :k lrm/za,b bj0(enlvl/s?

  A piano string of linear mass density 0.0omo daxtj, c/8kd1 e4jxxu 5.3050 kg/m is under a tension of 1350 N. What is the waved 1x,ouk dmx5 jto4./3cjx8ea speed?

  A string of linear density 6.0 g/m is under a tej.hgc 14jub/we:3d lbp ea,0unsion of 180 N. What is the velocity of ped0 ujlh.je 3,1g:p /cub 4abwropagation of transverse waves along the string?

A wave whose wavelength is 0.500 m is traveling down auqib(d+vnfk.:q.q46ur ao x / 500 m long wire whose totkoru./q(d+qu bn vi4f6:ax. qal 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 h+a5+d no w1 (iliy(agwave on a 2.0-m long string fixed at both ends is 200 m/s. gia(dlwy (i+oa n+1h5Which one of the following is not a resonant frequency of this string?

  If a guitar string has a fundamental f,bvmi llq/4n .3zt/ ngrequency of 500 Hz, which one of the following frequencie/bvtgli.q3m z, /4 nlns can set the string into resonant vibration?

  A stretched string is observed to have four eb*oc5u cik,s8 jh7gj4qual segments in a standing wave driven at a frequejc5kg ch8 io4,7 jbu*sncy of 480 Hz. What driving frequency will set up a standing wave with five equal segments?

  A string, fixed at both ends, vibrates ekw(vm us i2.,at a frequency of 12 Hz with a standing transverse wave pattern containing 3 looiu kvw.(es, 2mps. What frequency is needed if the standing wave pattern is to contain 4 loops?

  A string of linear density 1o.wu6xy )wgg2.5 g/m is under a tension of 20 N. What should its lengthy6wwgu2g )ox. be if its fundamental resonance frequency is 220 Hz?

  Find the first three harmonics of a string of linear mas,tn.2lw3 fv4 eg 6zcqo he3+n+3qg gsks density 2.00 g/m and length 0.600 m when i23veqz te+4qnwg n, lfgs+3ok.3hg c6t is subjected to tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. When the string vibratesjw(/ja rjj3g0r a4sx7 at a frequency of 85 Hz, a standing wave with fia7/j xaj jr gwj4(sr03ve 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.