The time for one cycu(rnz tcksm9( ztt8,, le of a periodic process is called the

  For a periodic process, the number o* j9lt2d*3pwdvw i(pof cycles per unit time is called the

  For vibrational motion, the m vxamra 1he(y)yx5x*:aximum displacement from the equilibrium point is called taex:h yv* xmxa1)(ry5he

  A mass on a spring undn y5g0*wub rk,ergoes SHM. When the mass is at its maximum displacement from equigwu*,bn ry 05klibrium, its instantaneous velocity

  A mass on a spring undergoes SHM. When 5 w,gduxjc pxso7w,oe8ql we4j70 l/0 *q/ ndgthe mass passes through the equilibrium position, its instantaneous veloc jgqnwwx0 o0ule5x77 /c s/edpw*84, , lodqgjity

  A mass on a spring undergomxj :;ngnvc;bw+;v b7 es SHM. When the mass is at maximum displacement from equilibrium, its instantanevbvcm:jn;xnw+7 g b; ;ous acceleration

  A mass is attached to a vertical spring and bobs up and down between poinap:6plsl .nk9 qf/bo6 ts A and B. Whereq/6: p 6l9kofpsn ba.l is the mass located when its kinetic energy is a minimum?

  A mass is attached to a vertical spring and bobny+(b6yr 4h3of:rb4o7 mzg wz s up and down between points A and B. Where is the mass located when its kinetic e 6z(wo:7n4z+r yorb3fg h4bymnergy is a maximum?

  A mass is attached to a vertical spring and bobs up and downfahq 2 vnu,a4: between points A and B. Where is the mass located when its q na4u2fv,ah :potential energy is a minimum?

  A mass is attached to a vert+jo7dk c+g np4ical spring and bobs up and down between points A and B. Where is the mass located when its potentiald+g+k 4npj7co energy is a maximum?

  Doubling only the amplitude of a vibrating mo2oss /kjy(my-4w8bgass-and-spring system produces what s-gjky 2(wmooy/s48 beffect on the system's mechanical energy?

  Doubling only the mass of a vibrating mass-and-spring systzqq30 t, fiqrrj9 /7ucc zy,v2em produces what effect on the system's mechanical eq r i,zyf9urtv0j3zc,qc7 2/ qnergy?

  Doubling only the spring constant of a vibzrwy3s ue8it g:ivq+ p2; jd,,rating mass-and-spring system produces what effect on the system's mechanical energ8+d,guesq2 j3 yz:wtir,vp i;y?

  A mass oscillates on the end of a spring, ),;1hzehamkwo( j8 4pad; ; xosfy*lxboth on Earth and on the Moon. Where is the saxa8o;p4; (,*omh;1 lkfwhxzy)dje period the greatest?

  Increasing the spring constant k of a mass-and-spring system causes what kindfs12n2yf 6l4 puzt6z.3h j wcc of change in the resonant frequency of the system? (Assume no change in the system's mass m.)suff.thpyj16l nz3 4 w c22c6z

  Increasing the mass M of a mass-and-spring system causes what kind v4equc,3y3 yugjg 4z9of change in the resonant egy4qu 3 v3zcyj,9gu4frequency of the system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a ;iof1 tju ) s84z6xzmk3l5gmamass-and-spring system causes what kind of change in the resonant frequency of the xzt;g6mlsmjk 8 u1 i 45a3)zfosystem? (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 5,gaptyu4i u8 +rt1pc a weightless string of length L. For this system, when undergoing small oscillations8 a,y t+tr1 pcu4i5pug

  When the mass of a simple pendulum i 3il*p ay ofbef -y190lk+u9r4a /eji.7vvhgh s tripled, the time required for one complete vibratajyk+-. beoig l /91lf*70h3ye iapfu 49vrvhion

  Both pendulum A and B are 3.0 m lonn8sv4.(+ xaa4x/fl9 oth7za-km/an4aldu t yg. The period of A is T. Pendulum A is twice as heavy as pendulum B. What is9sot / /hauyvm(fa4an zl+48x4 a.7lk-n txad the period of B?

  When the length of a simple pendulum is tripled, the os/,rm6vuc5 iu ml(6ztime for one complete vibration in66l( iumo ,5msv/z urccreases by a factor of

  What happens to a simple pendulum's frequency if bothc 8ipd64yh6hu its length and mass are increase4h6pdcu y 6hi8d?

  Simple pendulum A swings back and xk 7czgpb 1:t+*iz2rd forth at twice the frequency of simple pendulum B. Which statement +:2pzrkbc 1g7* xtdz iis correct?

  If you take a given pen.5llshrb* j8a x .5rcmdulum to the Moon, where the acceleration of gravity is less than on Earth, the resonant l5lsm b5. *.ar 8xjhrcfrequency of the pendulum will

  Curve A in Fig. 11-1 kc a, )ifqvm59represents

  Curve B in Fig. 11-1 rap32p+q ,)s gl fejxfab8f) a;z /ysg,epresents

  Curve C in Fig. 11-1 represenp 0prjb0 9i6zamy3 mz(ts

  For a forced vibration, theeike dgqgb8s y-q84/ci uz.tw*;5 +dj *uq j*d amplitude of vibration is found to depend on the

  In a wave, the maximum displac;w) lz9 . uri8xsqm5 m:jvbv7vement of points of the wave from equilibrium is callem ;8 )ij:79 5zvlbvur.sv mxwqd the wave's

  The distance between successive crests ofg4nw ic9*h pjecbm6 js(2a /jb*k6l*)ar k, on a wave is called the wave's

  The number of crests odjlq- d n67wc9f a wave passing a point per unit time is called the wave'swn dq7d -69cjl

  For a wave, the frequency times the wavelength is the wavei uy oyi6y kcbig 1wnip*78ts1h1. 4w1's

  The frequency of a wave inp3sxao.h6 vtx - hd5e2,i1vaacreases. What happens to the distance between successive crests if the sp.v2,dotph 3s x e- va56ahxi1aeed remains constant?

  A wave moves on a string with wavelengt95;f ob)9ihgb njrr s(pjva9 0h l and frequency f. A second wave on the same string has wavelength 2l and travels with the same velocity. Whb)o;ha9s9(j bp5nf09gvrir j at is the frequency of the second wave?

  Consider a traveling wave on a string of length L, mass M, and tension T. Agy ia+1*(eyarw/ s:fp standing wave is set up. Whe(:/rg+ywas p1 f*ya iich of the following is true?

  A string of mass m and lengthizjnpuf y5-d ;0)g h,z L is under tension T. The speed of a wave in the string;dyh5 , fz0-jipn) uzg 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 length L is under tension T. The speed of *bftol0k 4 nz5a wave in the string is v. What will be the speed of a wave in the string if the length is increased to 4nto z lb*fk502L, with no change in mass?

  A string of mass m and length L is under tenb6 3dqmjyc 0 /2;cjglysion T. The speed of a wave in the string is v. What will be the speed of a wave in the s2 dljjg yyb;c306qmc /tring if the tension is increased to 2T?

  In seismology, the S wave is a transvergm9l(;g pre)i se wave. As an S wave travels through the Earth, the relative motion betwee;migep )9(l rgn the S wave and the particles is

  In seismology, the P wave i7tp:oicn: ,blztv a1bwp 16u4s a longitudinal wave. As a P wave travels through the Earth, the rp6u1c ,1 oa ptilbn7 4tvzbw::elative motion between the P wave and the particles is

  The intensity of a wavexe/a6*5 x *z sd)8aetun(bako is

  A wave pulse traveling to the rie/z :(+3hqv6cqu bhgrght along a thin cord reaches a discontinuity where the rope becomes thicker and heavier. What is the orientation of the reflecrbe:vhq/c+3 h 6qzg( uted and transmitted pulses?

  Two wave pulses with equal positive amplitudei)bsgc0l(t2uh o a59 js 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 at the same aj c0s5)(9bhu lotgi2 time

  Two wave pulses pass each other on a string. The onvso:s y72x7h x;ekdp3x eg; 8je traveling toward the right has a positiv7 xs3oegk ej p;v2:hx;7yx8d se amplitude, while 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 as a string fixed at3 qmqgiwedny s1ajg dqs.3d 3-i0;6:d both ends, occurs when

  If one doubles the tension in a violin string, thu(zrh 8ctx8fe1vp 3 y o-6m lnl-44sxbe fundamental frequency of that string will8(y4 43-- rfmsbnx1 euhlvxtp8 c 6olz increase by a factor of

  What is the spring constant of a spring that stretches 2.00 c / e95klm3nkd,kae otkuxu-azg 5 52h/m when a mass of 0.600 kg is suk5/kht ml/ eokukn-9az3x2d5 5, uae gspended from it?

  A mass is attached to a spring of spring constant 60 N/m alo yeo5l)gs8njfxx)*ujt7qt6 8s hxz/ 2ng 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 p jesqu7*tnz8hl2x))gyx/ 5 ojx6 s8ft osition when it is oscillating. What is the amplitude?

  A mass is attached to a spring of spring co 1hgnwykk9 y 5 3g/m9/spn94vfzewn8lnstant 60 N/m along a horizontal, frictionless surface. The spring is initially stretched by a force of 5.0 N on te9fwnlp1h8nk4 5/yzyw3m g99ngk v/s he 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 commxtnjnkv0t/9/;lg w1t0 kx+ 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 to its equk nnvwm0x0 +l/ 1/j;kmttx t9gilibrium position when it is oscillating. What is the frequency of oscillation?

  A mass on a spring undergoes SHM. fi/8hs h21efls 13qvzjh(5vm It goes through 10 complete oscillations in 5.0 s. What is thes qz2vf1 13i5l 8/hs( mjhfveh period?

  A mass vibrates back and f r)1rrc5zkfm185 f7cgs4arhiorth 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 whem c1z)f5rr5afr4 ih8 r1k7 cgsn it is 0.30 m from its equilibrium position?

  A 0.50-kg mass is attached to a spg-zui-2 x-f sfm -nv8k q6+tqvring of spring constant 20 N/m along a horizontal, frictionless surface. The objviv-nq-k-fz g+xu 6 s2q- t8mfect 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 amplitude of 4 cm. The energy is 8.0 J xteqcw( hg10u ;l6xq7at this time. The mass isqxq6thguw 0; c e1x(7l 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 spring constant 20so/ +jyox8 ve be)7ndzc7l; r, 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 t7),+ ecld j78bvyrosne o/zx;he amplitude of vibration?

  A 0.50-kg mass is attached to a spring of spring yzh:-vlh ) v kv2:hu8rv,j)w xconstant 20 N/m along a horizontal, frictionless surfacev uvy8l:v :jvr-wkz ,hx)2h)h. 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 enjf)7 ybc+ in+wd 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 t+fiy)cw7n bj+ he total mechanical energy of this system?

  A 2.0-kg mass is attached j,4c;*un qm6 pb- naieto the end of a horizontal spring of spring constant 50 N/m and set into simple harmonic motion wie;6j , *i-acumnp4qb nth an amplitude of 0.10 m. What is the total mechanical energy of this system?

  A mass vibrates back and fn8 ,fpsskq00 *3q rjooorth from the free end of an ideal spring of spring constant 20.0 N/m with o q8jor3ps0q, f*ns0kan 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 fx+lt35 isa+.lr mdcs0al;wr m78w ( curom its equilibrium position and released. A frequency of aiuw.crt7 35r+8 msw+clx 0lslm(a;d 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 sprin/d rwudlu4ay4ix1tu+u5r 4 1o g of spring constant 10 N/m. The object is disdywr/41a ux + d utr5ou4lui14placed by
5.1 cm from the equilibrium position and let go. What is the period of vibration?

  A 4.0-kg object is attached tolrtkii xoy8edho:w3/7 6w2-g a spring of spring constant 10 N/m. The object is displo-8:ke i76 ylw2 hwto/i rg3xdaced 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 constaw/nlva/d ho7:4 o (mcjnt 18 N/m, displaced slightly from its equilibrium position, and released. What is the freqn(wl/4 : a/ 7ojmodvhcuency of its vibration?

  A mass is attached to a spring. I as1 p87ibu.o;knkd6y t oscillates at a frequency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and rel s7d1i8 k6noubypak .;eased. What is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to different lrd;,kbkh - 7dsprings. 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 r,7lkdk;hd- b 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. Inxrlkbwkes 3 7+(5ri9zx -v1y s equilibrium the mass stretches the spring 2.0 cm downward.b y(x 51e+ks7r s-lziw39rxkv The mass is then pulled an additional distance of 1.0 cm down and released from rest. Calculate the period of oscillation.

  A 0.30-kg mass is su3lgy4gjbr/:::s4a rhsx glk 5ztj, .s spended on a spring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down an 4,sgrh bkjl 5gj/x3:ltrg .yss:4a:z d released from rest. Calculate the total energy of the system.

  A 0.30-kg mass is suspended on e4oy2th.)l2hvpv rz2a spring. 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 . ylrh2)topvhz e22v4rest. Write down its equation of motion.

  An object in simple harmonic motion c166ugzzpd-ok,al7kobeys the following position versus time equdg66 zlk,auck1o7-p zation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys thfl g,ur/j a amexp4)ju5vh46- 6o vvt7e following position versus time equatimvfgpvl,je456 ) v7j r-/u4aoat6uhx on:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeyseight66hk5;(eix p0 o the following position versus time equaixe5kph6oitg6e;( h 0tion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring ex/nre wxwd o5b) /d8.ysq6kwf/ecutes simple harmonic motion according yd)/w/ b5w6 8 k r/odnqxsefw.to the equation $y = 0.50 \; \sin (18\pi \times t)$ 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 oaiq(t --l14yauc 1fs of 20.0 N/m oscillates on a horizontal, frictionless tcu4 -l aasf11o-(yiqt rack. 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 in 8.0a:ls vt;4 ex2axq :/ viiz5kp( s. (a) What are its frequency and per(s54ki xpa le;qiv :/xtz:2aviod on Earth?

  A 3.00-kg pendulum is 28.84 m longnpd:5v7e5 lhg ikhbz17h;5 zn1.qry3vc6j yt. What is its period on Earth?

  A pendulum has a period of 2.0 s on Earthfvt 6et(98h,bbwpn s8dml57i9e a cr-. What is its length?

  The pendulum of a grandfather clock is 1.0 m long. What is its periv2upnib 8;mtgw9jf9 lp r- w;,od on the Eartlw - p;g,nv wf9ub2pi9m r8jt;h?

  The pendulum of a grandfather clock is 1.0 m lo.:acx q1gl tm,ng. What is its period on the Moontm1,qa :lc xg. where the acceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0bs +ld7fm nl5.f7 k/w4ob8hq ,lwd ya7.25-kg spherical mass attached to a massless string. When the mass is displaced slightly from its equilibrium position and released, the pendulobqkld /w 87 n +ldl y.,afmsw7f754bhum 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 inybl5s 27z 5uwsitial angular displacement of 8.0e. It oscillates wity2su5 7 b5swlzh 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 a given time. The frequ:jy28;cg*uh-qyr2 qp( zuc toency of the wave is 120 Hzu tqpj yg- 22:;cyqczoh8(* ru. What is the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frwpznem7 8 z*)jm0r,nbequency of the wave is 120 Hz. What is the wavelengt,87 ez0nzb rmmn*jw)p h?

  Figure 11-2 is a "snapshot" of a wave at a gi4ez( qp9ddm (ew1eqw6 ven time. The frequency of the wave is 1w ed(q961e 4pe dqwmz(20 Hz. What is the wave speed?

  What is the frequency of dn;ab;cg 7fsr,rya 4b/4 i; mya wave which has a period of 6.00 ms?

  What is the period of a wave with a;udi+ .a(;as wwj9 mqm frequency of 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 2 :pen-g-;xprk,u z ukHz and a wavelength of 3.0 m- nezkg;uprpk,xu :-2 ?

  What is the velocity of a wave that has a wavelength of 3.0 m and a frequency obdo1u+(fa6wn 4 /tggc f a1 dc g4f(tb/og+nw 6u12 Hz?

  What is the frequency of a txm9 )2e/tcqs8 ppad3m cx 2;k2.5 m wave traveling at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is under a tension o2 zdqq+k/ 1t y 88vjanua/*or08pnms of 1350 N. Whay+01oz88 m dsjnuoa*8aqrk 2 vpqn t//t is the wave speed?

  A string of linear density 6.0 g/m is under a tension of 180e ws9qe* .jni1ea*6+3 r5rul :qp ohyw N. What is the velocity of propaghp njqolee:6res +u*qa .i 19*3ww5yr ation of transverse waves along the string?

A wave whose wavelength is 0.500 m is traveling down a 500 m long wire we.e(ov s u*)vz1 l xyjxm5xmi9)5gbd6hose total m)m 1vlsg 59y(e6 oxe zdmbv).ux* 5jixass 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 st5 eovv8 u2e.vdring fixed at both ends25u.v ve vod8e is 200 m/s. Which one of the following is not a resonant frequency of this string?

  If a guitar string has a fundamental frequency okm4r9 j,)h 7;gojcql vf 500 Hz, which one of the following frequencies can set the string into resonant vibration?9; mvoqr,lj j )7ghc4k

  A stretched string is observed to have four equal 7+im a j/w*ejv0zk1iz0ebf( tsegments in a standing wave driven at a freque(0i0emtfake z +bizjw/71* vj ncy 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 frequency of 12 Hz with a standi z(n90h *nedm g,uc3qkng transversqz(gn* h39kd,en mcu 0e wave pattern containing 3 loops. 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 N. Wua dpj ypx/64rl+1i2l2 td.zohat should its length be if its fundamental resonance frequency is.jd 42/ l li1ya2dop6uz xtpr+ 220 Hz?

  Find the first three harmonics of a string of linear mass density 2.00 8- *kt(c dr,wot )bsj;c)yol mg/m and length 0.600 m when it is m o ,8)kyljs(dr ctbc-;w)o*tsubjected to tension of 50.0 N.

A string of length 2.5 m is fixed at both endsh+fehfk- 4*u m. When the string vibrates at a frequency e hmf-4k+h*fu 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.