The time for one cycl8ql3 r4 ki t7w f r,o*qlzano,5pvnl30m-d*yg e of a periodic process is called the

  For a periodic process, the number of cycles per unit time is called thes/ 8(owtv jix9 +9knmi

  For vibrational motion, the maximum displace 6w-nqc5yh jrkbd6u2i *y3: loment from the equilibrium point is called theyw 6yoqj2n -*k3 r:c5u6bil dh

  A mass on a spring undergoes SHM. When the mass is at its maximvvh r3ou1mu (hb5) oj5um displacement from rv vhbu5u(o )5h3j1om equilibrium, its instantaneous velocity

  A mass on a spring undergoes SHM. When theda)xqifgh:7)dos ui4 (+y .a 92wcpqk mass passes through the equilibrium position, its instantanf(7dquwa)iqpok9+ g.a x:4hs ci2y)d eous velocity

  A mass on a spring undergoes SHM. When the mass is at maximum displacement fro*(l8n:6 vrdg0h oy sbc/w jii+m equilibrium, its instanta(s8g/ hi*rw v:+0oji 6yclnb dneous acceleration

  A mass is attached to a vertical spring and bobs up and down - vvi/*qtx7wfbetween points A and B. Where is the mass located when its kinetic energy is a mini7vv* fx- tw/qimum?

  A mass is attached to a vertical spring and bobs up and down between pointswm 8m,j ai3j-o A and B. Where is the mass locato8 aj-i3w mmj,ed when its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up sb :sbq,2sk: hewjj9n9s0a +kand down between points A and B. Where is the mass located when itssq +,a9ksj0 2 jk hs:9wesn:bb potential energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down z h.30mry ,buubetween points A and B. Where is the mass located when its potenu.m3, hzyb0rutial energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-s4ce*(cz2 mokfpring system produces what effect on the systc2 eo(m4c *kfzem's mechanical energy?

  Doubling only the mass of a vib4, 0agoyy g rp,ti+s*urating mass-and-spring system produces what effect on the system's mechani, 0oygs+p4ay irg*, tucal energy?

  Doubling only the spring constant ofja8j)43m r ap ov:3z6vb pgcc9 a vibrating mass-and-spring system produces what effect ong)bcrz4 3v86ap j3cmj 9pvo a: the system's mechanical energy?

  A mass oscillates on the end of a spring, both on Earth and on sw-y87dnu: kn g.o5oqthe Moon. Where is the period the gry-w:sog q7.u85d no nkeatest?

  Increasing the spring constant k of a mass-and-spring system causes2k*pic o-hlr*e-z+9ux- q pf q what kind of change in the resonant frequency of the system? (Assume no change in the system's m -p2q c- -ipox9**khqzr+ flueass m.)

  Increasing the mass M of a mass-and-spring system causes what kinxzw*ao,uqg ua +vd 7y)(auy0p43+o wpd of change in the resonant f xuy +)oua(,7p4 w0*u3aq zgwoyavpd+requency of the system? (Assume no change in the system's spring constant k.)

  Increasing the amplitn5 5w l;0picwzr7mnl*a y0/y oude of a mass-and-spring system causes what kind of change in the resonant frequency of th paw*ilyy7m0;5 n/o0 cl5zw nre 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 strinoz39kn o./u hpwkc d2;g of length L. For this system, when undergoing small os ;hokc9 w.od2/3kpnu zcillations

  When the mass of a simple pendulum is tripled, tlzvdg/0m4x jf8d07 ;sf5 vlnlwp9q+she time required for one complete vibra+vz; slld0 7lnx095 4jfq8vf/m g pdswtion

  Both pendulum A and B 4/ agx)va+(+gnr5 npez m7fcbare 3.0 m long. The period of A is T. Pendulum A is twice as he+)g( mg/zna+rvbcf57pnaxe 4 avy as pendulum B. What is the period of B?

  When the length of a simple pe-(+2)p nqthupd jvx2xndulum is tripled, the time for one complete vibration vn tj)(h-pdp+qx2 x2uincreases by a factor of

  What happens to a simplej ve,: da6ugaem*h+3b pendulum's frequency if both its length and mass are incra e,u v6gmeh+dab*j:3eased?

  Simple pendulum A swings bac;akq d8 - pohp.+p;cdjk and forth at twice the frequency of simple pendulum B. Which statement is h-;p j acdpq;dp8k+o.correct?

  If you take a given penduluou2:sn 2 6+uvzmk3axxm to the Moon, where the acceleration of gravity is less than on Earth, the resov:oa2 zxmk2x6 + sn3uunant frequency of the pendulum will

  Curve A in Fig. 11-1i6)my2cr6 5gy tprz k3 represents

  Curve B in Fig. 11-1 repcb)qruf4(b k9-6pztvresents

  Curve C in Fig. 11-1 represeh.gttam pw41 5nts

  For a forced vibration, the amplitude o+ :eo c ucs4*1apvsyk.f vibration is found to depend on the

  In a wave, the maximum displace 4 p5c 3gj8oahmpf2wz+ment of points of the wave from equilibrium is called the zf o58 ac3w+j4hgm 2ppwave's

  The distance between successive crests on a wave is called thg3,13zh ujxc)nht/ c ce wave's

  The number of crests of a wavrx53y6t0i)h av mq a wm:5e8hge passing a point per unit time is called the wave'a)e 65yha g38wxhiq: t0mmrv 5s

  For a wave, the frequency times tabj h*4my;ext2q 4z6t he wavelength is the wave's

  The frequency of a wave increases. 5) ic 4+f+a47cku8; jonu 6rigwytealWhat happens to the distance between successive crests if the speed remains con +;wu j65 g7 lay8ktiiufcoe4+ r)cna4stant?

  A wave moves on a string with wavelength l and frequency f. A second wave ,pe(z 9ejfo u6on the same string has wavelength 2l and travels with the same velocity. What is the frequency of the second wa9 z p,fueoe6(jve?

  Consider a traveling w p64eptx9f5 ldave on a string of length L, mass M, and tension T. A standing wef6 95p l4tpdxave is set up. Which of the following is true?

  A string of mass m and length L is undea.aps7a .fyg3dv8-ubhs 3b z-r 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 mass of the string is increased to 2m, with no change p7ubh a..s3a--y z fg3vs abd8in length?

  A string of mass m and length L is ujn.*)vqe e8e4nifw 2bcc5n.u nder 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 teq)e.vwc 8.i nfeju 45n c*n2bo 2L, with no change in mass?

  A string of mass m and length L is under tension T. The speed of had07ip 1 gtk)vclf5 2a wave in the string is v. What will be the spk7f2) vd0lt hgp15cia eed 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 wmhl;mxt,6i i /ave travels through the Earth, the relative motion be6hlti/xm,; mitween the S wave and the particles is

  In seismology, the P wave is a longitudinal wave. As a P wave travels throu 5pb yia )3.qj.p-4lnqd9vz 6k*wbduvgh the Earth, the relative motion between the P wave and the particles is-39z.lp i bnj*v.v)ydubpqdwq5a 4k6

  The intensity of a waz6za1/wr,e tkve is

  A wave pulse traveling t a-3 j.a k:ofe*:mlozzo the right along a thin cord reaches a discontinuity where the rope becomes thicker andz .:e3kmoa:fjlzao* - heavier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive + h qtnxfu 7h88mq5ic-oc1*lnic3z)gamplitudes pass each other on a string, one is traveling toward the right and the 85zfu+ c)c-tiqhlo xhcgn7qm 1 n38i* other toward the left. At the point that they occupy the same region of space at the same time

  Two wave pulses pass each other on a strini6.*i4eotk2vnd , sbeg. The one traveling toward the right has a positive amplitude, whi ie64t*vd 2is.eb,nko le the one 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 aqt xmj0.-n- cgs a string fixed at both ends, occurs when

  If one doubles the tension in a violin string, the fundar(jhm b;i,3c*b wf ej.mental frequency of that string will increase by a factor ofh3 mcb w.jf,i* j(b;re

  What is the spring constant of a spring that stv-y p0 d.ycx(shu 1m6tiy0fi/retches 2.00 cm when a mass of 0.600 kg is suspended f1mcxy00-h u6. (fyyvt/pdsi irom it?

  A mass is attached to a sy8/ s1;r0*wmw kanitv 5p9* xguvkae.w0 :olepring 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.os;* keax8 pm0v1wwt elv 9.gn /wryki:*ua05 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 a horizontal, f9-6v m +q5:kxqpxpniq rictionless surface. The s xn 5ixqpqq9k6-m:p v+pring 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 oscillation?

  A mass is attached to a spring of spring constant 6m ()9wl4sf u/ zqvwhg3xlcbz.dr4i)1 0 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 th4r1 u)bvx s c w/g)4hl3iq.wdl9m(zzfe frequency of oscillation?

  A mass on a spring undergoes SHM. It goes through 10 uoa zptgl4l ;9om)r9/ di+ez ,complete oscillations in 5.0 s. What u/ozz9+ d,elga4; ol ipt m9)ris the period?

  A mass vibrates back and forth from the freeeh:d*tlf2 k17l:baujp* ln w 0 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 when70lpw1k ** tllj:b 2f: heunda it is 0.30 m from its equilibrium position?

  A 0.50-kg mass is attached to a m s29ar 4e zt1mx3)thfspring of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple xtm3m)fertsa 9h 1 24zharmonic 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 amplitude of 4 cm. The energy is m zr9/uj*(:w6lddt8 kxh y5ics :ywe:8.0 J at this time. The mass is cut in half, and the sy/yi:xmu85: t j*cw9h6d (rzyl :wdkesstem 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 sprujy: ,;i k 5baiq mr/lsk,,2uaing constant 20 N/m along a horizontal, frictionlesk l,a as:b,uq/2rij5kiy;m ,us surface. The object oscillates 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 spring constant 20 N/ezi0g;sh qlc .)+oa/um along a horizontal, frictionless surface. The object oscillates in simple harmo;+a).0eg /icohul qsznic 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 t5-io xl 8f;/vgkdmu)rra pjur6;3 fd3he end of a horizontal spring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the total mechanicaipu-;a/ 8uflx; vo 3mg rkj5df3)d 6rrl energy of this system?

  A 2.0-kg mass is attached to the end of a horizontal spring of l x*2kn 8pv5vg1:s u vz2hd6iyvser3 8spring constant 50 N/m and set into simple harmonic motvyil1svn :v2khs xze5pu d8g26vr8*3ion 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 springvr7)da,l 8 hev constant 20.0 N/m with an amplitude of 0.250 m. What ishv8e, 7vd a)rl the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring system is displaced 10 cm from its equi 8)ff2ew0+vz.ki-s nd*tz ux jlibrium position and released. A frequency of 4.0 Hz is observed. What frequency would be observed if the mass had been j0*d8 u-ze v 2nzsk i.f+twfx)displaced only 5.0 cm and then released?

  A 4.0-kg object is attached to a spring of spring eeh5 ;xcsaxwh 8w+4o f/61kpa+ 2h qvfconstant 10 N/m. The object is displaced fso4pe +va5x8achhx;q 12w6 +he/ wkfby
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. Th +w) bzlq 0a01lo*/o x+xj7hv4vtvvzie object is di*j o7awvv4 1zot0v bl x)v/++qilz0 hxsplaced 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 sprin2 ,azzy v1k+jsg of spring constant 18 N/m, displaced slightly from its equilibrium position, and released. What is the frequenc+z2kz ,a s1jvyy of its vibration?

  A mass is attached to a spring. It oscillates at a f. z5q;y7ho4dmcod e -*l9yd4f vv px(crequency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What is the maximum velocity attainey- xdv.vho9dl fcy5( 4;qc d7p*m4 eozd by the mass?

  Two masses, A and B, are attached to diff c.,b.-uv(gpjxyz3l r erent 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(.v 3gyxrpz ,julb c-. 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 i8axwzysgn +, f95l5 hthe spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and released from rest. 58gfy aslz,hi9 w+nx5 Calculate the period of oscillation.

  A 0.30-kg mass is suspended on a spring. In eq4mq )rbiwbejwc94bv;o:. aknt *e f2e-l. a)juilibrium the mass stretches the spring 2.0rf -aike4vjtl9wa)mj ;bb e* n4) obe.c.2:wq cm downward. The mass is 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 on a spring. In equilibk+af 1.8rmncn rium the mass stretches the spring 2.0 cm downward. The mass is then pulled an addfncn mka+18.ritional distance of 1.0 cm down and released from rest. Write down its equation of motion.

  An object in simple harmonic motion obeyc83hcd y. kga9un:8(uy ;mb hbs the following position versus time equatbmn9(:8;huyc3 y c. 8hbkg dauion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obh9oxmh84-hq8w;pn m1sng t- b rsg- 2leys the following position versus time equation:r-s4hn-ogl19h2m- 8 g;8qwxb mnptsh
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obe6 + vlwa6ap ewiybl5.,ys the following position versus time equa il.a6yaw56lwe,vb p +tion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end o67o, r,x4l3yh6bfuhda wf .jl f a spring executes simple harmonic motion according to the equation ux,a6wd yjh 67fbfo3r,4ll. h$y = 0.50 \; \sin (18\pi \times t)$ 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 k sra/j9iscek023 xk1force constant of 20.0 N/m oscillates on a jxkk9cs/ 23es a ki0r1horizontal, 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 x*o:1u ) ct68tl wyavvj ci*a/wt.x4fs, .mwaswings in 8.0 s. (a) What are its frequency and periot1.f owawxit,6a*c.4 sm v8*cj)v t/wy alux:d on Earth?

  A 3.00-kg pendulum ismohqfi* .0*j7: js nbt 28.84 m long. What is its period on Earth?

  A pendulum has a period of 2.0 s on Earth/op28:,7( wkf lulznvz/xm)g g8at aq. What is its length?

  The pendulum of a grandfather kxsyli 60mun 1n krk.c -36l,d wva0+vclock is 1.0 m long. What is its period on the Earc0v ,v.uk3 a1l-r6sixwkdnkl+my6 0 nth?

  The pendulum of a grandfather clock is 1.0 m long. What is its periy 4ln-l,qxr m;od on the Moon where the ;4l mryn-xlq,acceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists ;ta ovb,3gch9vc/t4qof a 0.25-kg spherical mass attached to a massless stcb3g4ocqav/ v9t,h ; tring. 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 to the string instead?

A simple pendulum consisting of a 20-g mass has initial angular displaceme 7-rdyc 4i 8f75jw/t0b niahc b3nn+nlw -owq0nt of 8.0e. It oscillates with a3 w+4ic r570i-n0batc8 q /yhdn jfwbwn7 -lno 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. Thsus;lmx3 og*6,2f3vq5 jumz 6o j2 vhie frequency of the wave i3 6ou53fmmig2vvs sh;jjloz q*26x u,s 120 Hz. What is the amplitude?

  Figure 11-2 is a "snapshot" of ; 94echtfyz 6xa wave at a given time. The frequency of the wave is 120 Hz. What is the wavelente;96zyh4f x cgth?

  Figure 11-2 is a "snapshot" of a wave at a gikeyk3pkt l d*:xd ,/ v,zo6wt5ven time. The frequency of the wave ide :,3,k*6k zk y5ltdtvxo/wp s 120 Hz. What is the wave speed?

  What is the frequency of a wave which has a period sv kgdtwxc:6.0q3bup/ ll41kwz:4 xr5)q i zgof 6.00 ms?

  What is the period of a wave with a fre) 7. pm*4clftevf 7dzdquency of 1500 Hz?

  What is the wave speed if a wave has a aux3 z(my*relp: ), ljfrequency of 12 Hz and a wavelength of 3.0( y,m*3pl:zr uajxl) e m?

  What is the velocity of a wave that has a wavelength of 3.0 m qfircv/0xfs 1. :-cofand a frequency ofocc-vfif qsx0 /r 1.:f 12 Hz?

  What is the frequency of a 2.5 m wave traveling at dn x6y alr1m(hyu,w: 1 kt:it81400 m/s?

  A piano string of linear mass density 0.0050 kg/m is under a tension of 13 egh,*xppb ,u094 rc0z geq8pn50 N. ,09n r80x,ph*ecgpu g zb qep4What is the wave speed?

  A string of linear density 6.0 g/m is under a tension of 180 N. What is the :rn(n uota l1fwxc:)7velocity of propagation ox::nwao7unf c1 )lr( tf transverse waves along the string?

A wave whose wavelength is 0.500 m is traz- 8 g5 )5rmbps7rrevl6. e7ti u 4lz9yiwwc0rveling down a 500 m long wire whose total mass isr ty.6ewrwir sz4)58 cp9ez-irgvbul0l77 m5
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 ayyb:tl*yab/dv x*: 1vt 5vkf3 transverse wave on a 2.0-m long string fixed at both ends is 200 m/s. Which one of the following is not a resonl yx*1v fbtvtyb *a:yv3k /:5dant frequency of this string?

  If a guitar string has a fundamenxfx16wa,y h( (,t)nu t4akp xqtal frequency of 500 Hz, which one of the following frequencies can set the string )k ,a4(n ,hyt xxx(u6tqfap1w into resonant vibration?

  A stretched string is obn-meyp5 vc0(p z2+ zgpserved to have four equal segments in a standing wave driven at a frequency of 480 Hz. What driving frequency2 ( yv+pm0 ez-p5zcnpg will set up a standing wave with five equal segments?

  A string, fixed at both ends, vibrates at a frequency of 12 Hz f+/uwkxv hhkf+u.r kbi:./c:with a standing transverse wave pattern containing 3 loops. vbkh:h+u /k ufcwikx .r.:f/+What frequency is needed if the standing wave pattern is to contain 4 loops?

  A string of linear density 1.5 g/m is under a tension of 20 vn: pl0w+t 4ogN. What should its length be i vp4o n0g+t:wlf its fundamental resonance frequency is 220 Hz?

  Find the first three harmonics of a string ofuh . kk/qbcyogxdb58ct1 6y1 ,fjq4 4u linear mass density 2.00 g/m and length 0.600 m wkctokdjgbcy q u/ h4y6qfx15u14 b .,8hen it is subjected to tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. When the vaw)x 17vjct a xe/ rm2ndubw58ug; 89string vibrates at a frequency of 85 Hz, a standinx cn;u )8wrm axe v/9 72j1w5vg8dbutag 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.