The time for one cycle of a periodic p4 :2xn .g gae ie1zvn;9mzr-serocess is called the

  For a periodic process, the nqj xhh*kl ;xw0uv9y 3imw j608umber of cycles per unit time is called the

  For vibrational motion, the maximum displacement from the equilibrium point is 4 livq2(s ud3acallv4 sladqu2(3 ied the

  A mass on a spring undergoes SHM. When the mass is h95,gz,ntnvl)-0 lj mcud5kge/c u5e at its maximum displacement n5n59zuel,u j v-g0gte hl/k cc ,5)mdfrom equilibrium, its instantaneous velocity

  A mass on a spring undergoes SHM. Wheulb2a(dg3 4; efewfk 9n the mass passes through the equilibrium position, its instantaneousefa2e3d lu; wg4b( fk9 velocity

  A mass on a spring under*b/ qt)wcp6es3q/xv4 u pb),oe d3nr hgoes SHM. When the mass is at maximum displacement from equilibrium, its instantoxwu3r spebv )q 46pdceth)3*bn/, q/aneous acceleration

  A mass is attached to a vertical spring and bobs up and down betweez-l r2r3 smdb 9h++mmppp,wt) n points A and B. Where is the mass located when its kinetic+b 3m-htpmmw ,)lprsz9r2 +dp energy is a minimum?

  A mass is attached to a vertical spswdaqk86h 4- )9xbrf yring and bobs up and down between points A and B. Where is the madf 4k x9rwba86hy-) sqss located when its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up and down between points A ankcqv*l8zz 1n; d B. Where is the mass located when its potential energy zlq81; ncv*kz is a minimum?

  A mass is attached to a vertical spring and bobs up and down between points A anbpr;*;assbmoz f w5+/d B. Where is the mass located when its potential energ 5oabs b pszf;m/;+wr*y is a maximum?

  Doubling only the amplitude of a vibrating mass-and-s+gld1 my lksnc in16*:pring system produces what effect on yc1n g *nd61:k+li smlthe system's mechanical energy?

  Doubling only the mass of a vibrating mass-and-spring system produces wq ybbsil9md),b 7 jy78hat effect on the system's mechanicablb9d y)8q77b y,i msjl energy?

  Doubling only the spring cmwm:4a1+kweci e) to8ousel k-+j z40 onstant of a vibrating mass-and-spring system produces what effect on the 408- tm+iu:wolsk wmzo )1ae ec +k4ejsystem's mechanical energy?

  A mass oscillates on the end of a spring, both on Earth and on themf1f ..rb3(ico*mqq2u0p mba6 ac2a n Moon. Where is the period q2ap6m3( f m1rni q.*aac2oubb. fc0mthe greatest?

  Increasing the spring constant k of a mass-and-spring system causes what x)0we,3tqrb b/5l ci7s kt4hykind ofxt7rs)qw4 b0y/ cile3bt,5k h change in the resonant frequency of the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-yc :g1s2nb-z5cd3a mmand-spring system causes what kind of change in the resonant frequency of mnc2-bdmg5az s:1y c3the system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system causes what rm7kk 5ji67ebkind of change in the resonant frequency of the system? (Assume no other chribj ek6k7 57manges 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 weightn,r6t k)97solo/sgb:osa/q x less string of length L. For trlt6ox qg7s,os9os/n) :ba /khis system, when undergoing small oscillations

  When the mass of a simple pendulum is tripled, the 3a(qgatn.p; dtime required for one complete vibrationaa qtg.3pd; (n

  Both pendulum A and B are 3.0 m long. The period of gaw :,k4avuo -A is T. Pendulum A is twice as heaa,u4wv:oa k-gvy as pendulum B. What is the period of B?

  When the length of a simple pendulum is tripled, the time for one complete /-7tcuoxq*p xlh5,t bvibration increases by a factorhc/-lxbxqtout7, *p5 of

  What happens to a simple pendulum's frequency if both its lengt3l+ist6osdw tey+ 8 /uh and mass are incr8 iwudssy+ +ottel 6/3eased?

  Simple pendulum A swing+ inar2vs+ wvcd ;qy c+7hcy16s back and forth at twice the frequency of simple pendulum B. Which statement is correcn6 hac 2+c s+yd+yvw17vqc;i rt?

  If you take a given pendulum to the Moon, where the acceleration,9vp e*8z mhik of gravity is less than on Earth, the resonant frequency of the pepimv ke8, z9*hndulum will

  Curve A in Fig. 11-1 represecyre ,).,q lqjnts

  Curve B in Fig. 11-1 rq-d skndu23*f epresents

  Curve C in Fig. 11-1 reprepi4c0 k*a (gxvptz ,lnzat2 36sents

  For a forced vibration, the amplitude of vibration i37w rfwo5rt2c*h1+kl iwx+l is found to depend on the

  In a wave, the maximum displacementv3 bh z2e(fo)t of points of the wave from equilibrium is called the waveto(bvezh2 f) 3's

  The distance between successive crests oc. 39 eh hrbs)k-,pfwnn a wave is called the wave's

  The number of crests of a wave pa nrzvq l +94pzy.a/.xxrai3;.i irm ;zssing a point per unit time is called the wave'+;ia.irr. 3mq ia zz9;xy.xn rvp/ 4lzs

  For a wave, the frequency times :zcb( ynln5,)myk q-.us6bdk the wavelength is the wave's

  The frequency of a wave increases. What happens to the dishify , 5,u8k0 qal9enstance between successive crests if the speed remaia9eh85,n uqsyf0 i k,lns constant?

  A wave moves on a string with wavelength l and frequency f. A se ucjua yr- r;)n.wshhl++5wf (cond wave on the same string has wavelength 2l and trav.+nuraw( h fysuh5c;wjr-+ l)els with the same velocity. What is the frequency of the second wave?

  Consider a traveling wave on a string of length L, mass M, and tension T. A * tkify.(lk + e-smeas6ym:a*standing wave is set up. Which of the follow em-ika falksy s*t6m*(y .e+:ing is true?

  A string of mass m and length L is under tension T. The s wn1 j*m584gak2jcb jvpeed of a wave in the string is v. What will be the speed of a wave in the string if thewbagm 81n vc4k5*j2 jj mass of the string is increased to 2m, with no change in length?

  A string of mass m an-yc 38bj ,9 rz4aklevnd length 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 stri jeavy 398cn-4r,blzkng 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 toiifj5,lddu/ :m:a ;speed of a wave in the string is v. What will be the speed of a wave in the string if the tension is i,dt;l:mf5/ijo :d u aincreased to 2T?

  In seismology, the S wave is a transversex7k.ugcvqu w zm7 d-/9 wave. As an S wave travels through the Earth, the relativeguvz9 m/-dxc.7 u7wkq motion between the S wave and the particles is

  In seismology, the P wave is a longitudinal wave. Asso(x6 :* kugro a P wave travels through the Eak6 sur:ox(g*orth, the relative motion between the P wave and the particles is

  The intensity of a wave i,j(f .pvhhjb ((kpm0u:9riusrwzum/9iw 6 a/s

  A wave pulse traveling hypx p:z9rbav4uu 6r v+ b57,mto the right along a thin cord reaches a discontinuity where the rope by5 7a4p u 9:,vxzpu6bhmrvr b+ecomes thicker and heavier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive ajken yidqpi c9,j)e b++;p a40mplitudes 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 s)dyi0kinj ,aqeje+bc4;pp +9ame region of space at the same time

  Two wave pulses pass each other on a string. The one trad-)-6tq-j pz vi t5 0avyw6/*isc bmtkveling toward the right has a positive am-tz) 6 y5qp-a/*ii - 0s6dv kbctvtjwmplitude, 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 at both jcwt1a;m*o( n ends, occurs when

  If one doubles the t+jzv jph:a) q0ension in a violin string, the fundamental frequency of that string will increase by a factor+qavhjz p):j0 of

  What is the spring constant of a spring that stretches 2.00 ca:n8oi; mfry ..gnjf/0(j rrdm when a mass of 0.600 kg is suspended from it?f8nao;d:0ny(g.rrj mr/i . f j

  A mass is attached to a spjplq2+ dlzs y o w6hkx.hiltlg*9q*x0.(3x7 sring of spring constant 60 N/m along a horizontal, frictionless surface. The spring is initially stretched by a force of yl .g3q.+iw20 l9hxsl spold* t7qx(* zxkj6h5.0 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 constant 60ie6a szyo,b rt,rg.v88e 5a*r 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 gor* eoy t8 ,s5a.,vri8ezr6 bag back to its equilibrium position when it is oscillating. What is the period of oscillation?

  A mass is attached to a ;sqhd6;*yly xspring of spring constant 60 N/m along a horizontal, frictionless surface. The spring is initially stretched x ydq;hs*;yl6 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 frequency of oscillation?

  A mass on a spring undergoes SHM. 6g-q:j.b r/jswz e (ih It goes through 10 complete oscillations in 5.0 s. What is the perie -:hi/(6 wzqb s.gjrjod?

  A mass vibrates back and forth from the free end of an ideal spring of springd:a 3qx,ec ;xvllzv195u9ysz constant 20 N/m with an amplitude of 0.30 m. What is the kinetic energy of this vibrating mass when it is 0.30zyqv v as9lx cdzx3,eu1l;:95 m from its equilibrium position?

  A 0.50-kg mass is attached to a spring of spring c/ta)9yhh0 cq tuxn0 3qonstant 20 N/m along a horizontx9) nhu0/ ty30a cqhqtal, 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?

  A mass undergoes SHM with amplitude of 4 cm. The energy is 8.r019n (hfkqmy0 J at this time. The mass is cut in haqnrmy1(hk 0 f9lf, 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 qhcoe w-mhr.j :q-m*y(i9p4ra spring of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion andm4( yhjm q-:- r. hw*eicqrpo9 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/m alongqomzns: / c(y,3:onry a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a spey 3omsq:ry(/z,o: n cned 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 sy)/bh ,pqh 58mbj qw7ppring constant 50 N/m and set iq)phq/ 8,pwbm7b 5jhynto simple harmonic 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 spring9xppxbo;vdgfs)d9-9 of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.199 ) pv boxxs;gd9-pdf0 m. What is the total mechanical energy of this system?

  A mass vibrates back and forth from the free end of an s; k5o1u fxqk(ideal spring of spring constant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kinetic energy of t1;kuxs 5 fko(qhis vibrating mass?

  The mass of a mass-and-spring system is dispjz:qu8y.(patgb :;w flaced 10 cm from its equilibrium position and released. A frequency of 4.0 Hz is observed. What frequency would be observed if: b:z gw;u8fqj(. payt the mass had been displaced only 5.0 cm and then released?

  A 4.0-kg object is attached to a spring of spring constapf3-9 noaw+vav a,f( znt 10 N/m. The object is displaced+ (-nv affo, 3wap9vaz 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 consth1rd))q ks:dw9(a y9 .kseqbeant 10 N/m. The object is q19r):dahkq9wyk)es dbs (e .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 spq/4ge5xm 4 rk6t: yvkgeh4je m.r;y( bring of spring constant 18 N/m, displaced slightly from its equilibrium position, and released. What is the frequency64j :q(ehyme5egbm/;t .4xryr k4kv g of its vibration?

  A mass is attached to,6fpm4jvt8 e5; nxhkg a spring. It oscillates at a frequency of 1.27 Hz when disn5gmjph t;8f4 6 e,kxvplaced a distance of 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. vfbv:x-+ uym/lq f0s A vibrates with amplitude of 8.0 cm at a frequency of 10 Hq+ b:lu-m.svxv /f f0yz and mass B vibrates with amplitude of 5.0 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 stretch3a5 + k ;gb6dvoa2zmhjes the spring 2.0 cm downward. The mass is then pulled an additional distang3ah ;6jmzdk 2b o+5vace 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 equilib4d j b,zyu.ei2rium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of db2yzj ,u i4.e1.0 cm down and released from rest. Calculate the total energy of the system.

  A 0.30-kg mass is suspended on a sprin*ey - qnt3h g)c5zt01ju,xtc rg. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pgj yt,t5hntz)u*eq x1cr30-culled an additional distance of 1.0 cm down and released from rest. Write down its equation of motion.

  An object in simple harmonic motion obeys bl++ cxj6 , tjf 8 udgss8*k704bxtwbkthe following position versus time equatio xb6 b+,g7lt0jjx bk8u*tks csf4d 8w+n:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the jkh2ipq4 ,r (kfollowing position versus time equatjprk q4ik ,(h2ion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the folz4tmvy3k95 gk .jbz,-pmt3+wo+ wjvtlowing position versus time equation:4z3kg my +tv. -pvm,z3 9otwjkwb j5+t
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring execp9zz;f7gx l9 butes simple harmonic motion according to thlbx 7zpf 9;9gze 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 of 20.0 N/m :n,,,opg ugr+g) slpkf)ii ;eoscillates on a hor lp;ni,, oug)r),s kefg:ig +pizontal, 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 in 8.0 s. (a) What a nr+qybpm8x *. naib/:re its frequency and period b/pmyq nab+:*ixn.8r on Earth?

  A 3.00-kg pendulum is 28.84 m l.qe.+5uuaj.6t h eoapong. What is its period on Earth?

  A pendulum has a period of 2.0 s on Earth. 8xrut*u x-l5rWhat is its length?

  The pendulum of a grandfather clock is 1.0 m long. What is its peh 01eu:u0c:qse h0 bveriod on the Eare:s b h: qe01ceu00vhuth?

  The pendulum of a grandfather clock is 1.0 m long. What is its period 3,t, /r7hjcuyep gnotv-, al3on the Moon where the acceleration due to gravity is on n yj lvt-ce,,gupath/73r3o,ly $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attached to a masslajao ;7gy kr88ess string. When the mass is displaced slightly from its equilibrium position and released, the pendulum swings back and forth with a frequency ofo ;ky7r8aj 8ag 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 of7m10r*f m ,ld5 tn8vl.gun-1 (dt1vptd bjzhu a 20-g mass has initial angular displacement of 8.0e. It oscillates with a period of 3.0-fv08dtl7nzmr1t *11 mhnbj d.vlt(d5gpu ,u0 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 "snapshotq028d m)rujr,m 2 f*a 0 6jehxc/vng)ddano1t" of a wave at a given time. The frequency of the wave is 0 tm*u1ejcj dd vrhd)/m,ra fn2ng62q0o xa)8120 Hz. What is the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequenc7u4w(ig,q smblxnq,8a g:rz 4y of the wave is 18 (lis4x7rg wm,, qubgnz4aq:20 Hz. What is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given time. lg+yxfxrovq e5 (+u*9 The frequency of the wave is 120+5y lq9e* ( uvoxfgxr+ Hz. What is the wave speed?

  What is the frequency of a wave which has a pe uo20rl 2q9kvlriod of 6.00 ms?

  What is the period of a k yls08qf6b(r wave with a frequency of 1500 Hz?

  What is the wave speed if a wave has a frequencyfdz 2kxeddebl8v2- f-*)v;2n jvz e( e of 12 Hz and a wavelength of 3.0zejf2n 8-e2d xz2eve* d d;l( -kvfvb) m?

  What is the velocity of a wave that has a wave*t7 j ex9bgs0hlength of 3.0 m and a frequency of sbj*079ge th x12 Hz?

  What is the frequency of a 2.5 m wave traveling c klgm/9:sh-evvg) 0sx: z7h 0,-5ctrobp dnb at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is under a tensilv9fyoq;l n5 y;zm)5won of 1350 N. What is the 5;)vqywzol ;m5lyfn9wave speed?

  A string of linear density 6.0 g/m is under a tension ofz1 nociuwv8/m1j)uo, 180 N. What is the velocity of propagation of transverse wavu)o w/n1u, j81ic zomves along the string?

A wave whose wavelength is 0.500 m is traveling down a 500 m long wire whose totm5goy7m,4 ,zjc q oy5qxm+v: sal massmz 7:yqmqvy5 js5omo+, cx4,g 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 string fixedjc5.lghle/- (t d6vmfyu8 i 8d at both ends is 200 m/s. Which one of the following is not a resmhg. ijcv-6 d l(uel/8y5d8tfonant frequency of this string?

  If a guitar string has a fundamental frequency of 500 Hz, which o/3h+ lat5 phomne of the following frequencies can h otl/5+h3pmaset the string into resonant vibration?

  A stretched string i4;sruu(bg3x xe lo/2 pnf*1je s observed to have four equal segments in a standing wave driven at or;g *4nfxe bpuxs2j u/13(ela frequency 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 standin5 +i5i)lecvn dg transverse wave paiindl )e55cv+ ttern containing 3 loops. What frequency is needed if the standing wave pattern is to contain 4 loops?

  A string of linear density n;eg m wq)w68 ej4w6qe1.5 g/m is under a tension of 20 N. What should its length be if its fundamental resonance frequency is 220 He4m jnwgewq8w6 ;6eq )z?

  Find the first threeboz:4w9 wj0 f;jm)pz f harmonics of a string of linear mass density 2.00 g/m and lengm zffo4jz j;9wwb)0:pth 0.600 m when it is subjected to tension of 50.0 N.

A string of length 2.5 m is f , b1ss2sl 6ej4f.tgm7glvt3sixed at both ends. When the string vibrates at a frequency olf3tmsbssj4s l6g 27 t .vg1e,f 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.